diff --git "a/data/dm_maths/full_data/1592_11255.jsonl" "b/data/dm_maths/full_data/1592_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1592_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0*k - 4 = k. What is the hundreds digit of (600\/(-350))\/(k\/1274)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f - 3. Let z(t) = 12*t + 2. What is -5*u(o) - 6*z(o)?\nAnswer: -12*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32, -2\/3 in descending order.\nAnswer: 1, -2\/3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4261.1 - -4260.85061. Round y to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 13 + 4*n**2 - 27 - 101*n.\nAnswer: 4*n**2 - 101*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l + 30 = 0. Solve -3*u + 5*u = l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20380928 * 0.1.\nAnswer: 2038092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (0 + sqrt(475))**2)*-3 + 0.\nAnswer: -5748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 4. Suppose -2*l = 3*l + 15. Determine p(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 80*o**3 + 62*o**2 + 68*o + 6. Calculate c(-1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j = 10 - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*i**2 + 5 + 77*i**2 - 146*i**2.\nAnswer: 5*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3252 divided by 1084.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -20 + 6 + (6 - -14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -26*v**2 - v + 1. Calculate q(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgcckcc. What is prob of picking 1 k and 3 c?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 4*s - 4, -s + 2*w + 3 - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6159 + 6159. Solve 8*s - 7*s = 4, g = -3*d + 3*s - 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69142 = 45*c - 11363. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11583 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 48*a**4 + 22803*a**3 + 2720289*a**2 + 2866041*a + 168507 = 0.\nAnswer: -237, -1, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 l when three letters picked without replacement from {l: 1, r: 2, y: 1, z: 9, i: 1, c: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*i**4 + 2\/9*i**2 + 0*i + 0*i**3 + 0.\nAnswer: -2*i**2*(i - 1)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/251 + -516\/1757. Let o(w) = w**2 - 9*w + 9. Let q be o(8). Which is greater: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsslzzzzzlszllzlzls. What is prob of sequence zsz?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6045464 (base 8) to base 10\nAnswer: 1592116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011111 + 11220200?\nAnswer: 10202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*u - 91*u**2 + 183*u**2 - 89*u**2 + 5 + 3 to the form t*u**2 + w + o*u and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(5\/11))\/k)**(1\/52)\/((k**(2\/17)*k)\/(k**8\/k)) assuming k is positive.\nAnswer: k**(57285\/9724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21475, 1, 123?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20486177 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1682388 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -101011111100001100100101?\nAnswer: 101011111100001100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.289 and -43408?\nAnswer: 43408.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - x + 1 = 0, -5*x = 3*c - 7563 + 7548 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 13 - 13 = 0. Which is the closest to t? (a) -2 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 10, 3*v + t + 8 = -3*t. Suppose -v*u + 2 = 3*b, -2 - 4 = -4*u - b. Solve 0 = 2*y + z - 4, -5 = -2*y - y - u*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6289 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let h(j) = -4*j + 11. Let s(v) = -1. Let y(i) = h(i) + 5*s(i). Let p(c) = -2*d(c) - y(c). What is the units digit of p(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 25 = 5*o, -17*n + 12 = -21*n - 2*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2831, -2819, -2799, -2771?\nAnswer: -2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 287*g - 18805. Calculate a(-98).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2503.70974 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*g = -205, 186 = 2*j + g + 32. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 - 10*n**2 + 9*n + 16. Let v(t) = -3*t**3 - 10*t**2 + 10*t + 15. Let g(o) = 2*i(o) - 3*v(o). Determine g(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 285*x + 186 + 210 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 24*a**2 - 31*a + 152. Let g be c(25). Sort 194, g, -1\/4, 4.\nAnswer: -1\/4, g, 4, 194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*b - 1839 + 1596 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176\/18 - 18\/(-81) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49915568 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4993687348.\nAnswer: 2, 13, 53, 73, 24821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19 * 126\nAnswer: 2394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 317000 and 11750?\nAnswer: 14899000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*n - 353 + 989 = 0, -2*v + 300 = -2*n. List the prime factors of v.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*(t*t**38\/t)\/t))\/t**(-33))**(16\/7) assuming t is positive.\nAnswer: t**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 k when three letters picked without replacement from ksskshs.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 39653?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 97. Let p(y) = -3*y - 12. Let s be p(-6). Let c be 0\/(-2) - (6 - s). Is k(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18573 divided by 151\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 4\/67, 310?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyccyycyyyyy. What is prob of picking 2 y?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 12*n + 7. Let j be r(12). Let h(a) = -4*a + 25. Let l be h(j). Let g(y) = -y - 4. Give g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13133 - 21003?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k**2 - k - 4. Let x be j(0). Sort -0.01, 0.3, x, -3 in increasing order.\nAnswer: x, -3, -0.01, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) -4.9 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17715, 74928, 170279, 303768?\n\"Answer: 19069*x**2 + 6*x - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4 - 4. What is the second derivative of -5*u**4 + u**v + 8*u - 5*u**4 - 4*u**4 wrt u?\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (66 - 81)) + -6 + -12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 4939.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -37)\/(4\/8*-2). Suppose -w = -5*t - 12. Find the second derivative of 51*g - g**t + 53*g**5 - 13*g**5 - 9*g wrt g.\nAnswer: 780*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/16 and -125\/423888.\nAnswer: 423888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0*z**7 - 5\/24*z**4 + 5\/168*z**8 + 0*z**6 + 0*z + 0*z**5 + 10*z**2 + 0 + 0*z**3. Find the second derivative of q(y) wrt y.\nAnswer: 200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5189672.973 rounded to the nearest one hundred?\nAnswer: 5189700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8212 (b) -3 (c) -2\/15 (d) -0.01 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let q be 0\/3 + n + 1. Solve -5*k + 13 - q = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 5, 12, 21, 32, 45?\n\"Answer: a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2 - 4*u - 5. Let y be g(-4). Let f be (-5 - y\/20)\/((-1)\/32). Solve 4*c - 5*z = -f, 3*c - 2*c + z = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*n - 82930 + 83345 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -3*m**5\/5 - 27*m**4\/4 - 25*m**3 - 81*m**2\/2 - 30*m - 175. Factor v(i).\nAnswer: -3*(i + 1)**2*(i + 2)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 272 - 256. What is the closest to 0 in -5, -1, -4, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 2, z: 2, c: 2, y: 1}. Give prob of picking 1 z, 1 g, and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -4\/3*u + 4 - 1\/3*u**2 + 2\/9*u**3. Factor n(c).\nAnswer: 2*(c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 453232310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - (6 + 1 + -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 214 - -12?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282175, -0.01, -4 in descending order.\nAnswer: -0.01, -4, -282175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.001 and 4787 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/36 and -111\/1460.\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**2*s**2*w - 5523263*g**2*s*w**3 + g**2*s*w - 26*g*s**2*w**3 + 193181*g*s*w**2 - 5*g*w**2 wrt w.\nAnswer: -33139578*g**2*s - 156*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2221003101323 - -2?\nAnswer: -2221003101321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + d - 3, 3*f + 4*d + 8 - 15 = 0. Let j = 0.5 + 1.5. Let k be 152\/(-36) + (-4)\/(-18). Which is the nearest to j? (a) k (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -731 + -1c?\nAnswer: -74d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -30*v - 300. Let u(y) = -5*y - 48. Let w(c) = 4*a(c) - 25*u(c). Let s(t) = 495*t**2. Give w(s(r)).\nAnswer: 2475*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 386*x**2 + 33*x + 65. What are the prime factors of p(6)?\nAnswer: 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1.1463.\nAnswer: -0.11463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 535\/6 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -841, -872, -923, -994, -1085?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 21*x - 45 + 22 in the form y*x + v and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*z - 18, 2*m - 2 = -0. Let t be 1\/(z\/3) - (-8294)\/(-88). Let q = -83 - t. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - 15. Let q be 55\/(-88)*70 - 2\/8. Let s = m - q. Are 11 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*u + 51*u = 3*u - 2217 + 117 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3751 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 37. Let x = y + 23. Let s = x + 23. Calculate the remainder when s is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m - 193. Let s be z(40). Find the common denominator of (1\/(-6))\/(4\/s) and 29\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3014358 - 2.\nAnswer: -3014360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 3*c - 4*c)*(2*c**4 + 3*c**3 - 3*c**3) - 361*c**5 - 274*c**5 + 88*c**5.\nAnswer: -543*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + 0.04. Let f = o + -1.82. Let i = 0.8 + f. Sort 2, 0.4, i.\nAnswer: i, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose a*o - 7*o + 68 = 0. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(357) - sqrt(357)*3)*-2)\/sqrt(7))\/((sqrt(3) + sqrt(1080)\/sqrt(10) + sqrt(3))*3).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25003 + -14876. What is the lowest common multiple of 3 and m?\nAnswer: 30381","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f - 4*s = 3907, -5*f - 4*s + 6565 = 0. Suppose 0*h + h - 431 = -4*l, 4*l - f = -3*h. List the prime factors of h.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/6270 and 11\/227586180.\nAnswer: 2503447980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1003 in -96.65, -0.5, -3?\nAnswer: -96.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcvrcrggvcfcrfc. Give prob of picking 1 c, 1 f, and 1 g.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52580 by -220.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**3 - m**2 - m + 1. Determine b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccucuuucccccucc. What is prob of picking 2 u?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbjf when four letters picked without replacement from jffbbjfyjffjbfyyy.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.781 and -85936192862.\nAnswer: -85936192865.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3359 is divided by 66?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5663.\nAnswer: 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Let i(h) = 5*h**2 + 3*h - 1. Let n(l) = 3*l**2 + 8*l**2 - 1049 + 7*l + 1047. Determine t*n(d) - 9*i(d).\nAnswer: -d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 10. Suppose 5*y + 2*o = 416, 22 = -j*y - o + 440. What is the highest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/1188*11*(-180)\/150. Find d such that 3\/5*d**2 - a*d - 3\/5 + 1\/5*d**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 724*k - 4321200.\nAnswer: 2*(k - 1662)*(k + 1300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3982 + 7?\nAnswer: 3989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 12*g + 10. Let y be s(-11). Let v(r) = 2*r**3 + r + 1. Give v(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5))\/z)**(-1\/2)*z**(1\/3)\/z*z\/((z*z*z**(-2\/7)*z)\/z*z*z)*z assuming z is positive.\nAnswer: z**(5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 955805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.9999908 - -6. Round z to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.239 + -149760?\nAnswer: -149759.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/30*2)\/((-1)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-12 - -3)) + 21.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*n + 59594809 = 284344817, 3*n + 89900012 = -2*j. Round j to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10300 + 2)\/(8\/20*-5). Suppose 6317 = 7*w - o. List the prime factors of w.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4510580, -4, -0.055?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x + 4*x)*(x - 4*x + x)*(-3*x + 2*x - 3*x)*(-5 - 2 - 1).\nAnswer: -256*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 3)**2 + (3*sqrt(245) - sqrt(245))**2.\nAnswer: 66*sqrt(5) + 1594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 134963*c**2 + 371385 wrt c.\nAnswer: 269926*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5308.833 kilometers?\nAnswer: 5308833000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 252 + -247. Suppose 0 = t - h, -8*t - 5 = 2*y - 9*t. Solve 5*p + r - 4*r + 12 = y, 4*p = r - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -646*q. Let i(h) be the second derivative of -h**3\/6 + 1365*h. Give i(v(a)).\nAnswer: 646*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2359\/(-56)*(-4)\/14. Let m = 47\/4 - d. Which is greater: m or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {k: 1, h: 14}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 116?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*b = 2*j + 2*b, 3*j + b - 11*b = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 2.66\nAnswer: -2.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 4*u = 18*h - 272, -4*u = 4*h - 264. Solve 11*s = -h + 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times 0.0022292?\nAnswer: -0.000401256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18856798, 18856797, 18856796, 18856795, 18856794, 18856793?\nAnswer: 18856792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-5.81\nAnswer: -3.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 2. Let a be (-5)\/(-10)*t - 0. Sort -3, a, -1\/2 in increasing order.\nAnswer: -3, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -l + 3*t, -3*l - 193*t = -192*t + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*q - 33003 + 3371 = 918 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17480557*a**3*p + 1288*a**3 - a**2 + 45*a - 9 wrt p.\nAnswer: 17480557*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:11 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 + 9*y**2 + 9*y + 5. Let m = 8667 - 8671. Let u(o) = -o**3 - 5*o**2 - 5*o - 3. Determine m*w(k) - 7*u(k).\nAnswer: -k**3 - k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 84 = 2*r, 93*r + 3*z - 63 = 95*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2 - 38*u**3 + 356\/3*u**4 + 0 - 80*u**5 + 4\/3*u = 0.\nAnswer: -1\/6, 0, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00928293 to four dps.\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**3 - 7*w**2 + 6*w - 5. Calculate d(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -37*p + 3. Let l be u(-2). Suppose -2*v = -v - 5*a - 1, 4*v - 5*a = 34. Calculate the highest common factor of l and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)\/sqrt(4))\/sqrt(7))**2 - 5*sqrt(112).\nAnswer: -20*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {g: 1, z: 7, t: 11}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13450, 53810, 121086, 215278, 336386, 484410, 659350?\nAnswer: 861206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:38 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from yjxyxxxwxycxxc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2403 + 458. Let l = -1092 - y. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a millimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -s + 20, 7*o + s = 4*o + 32. Calculate the least common multiple of 10 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 321 + 301 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -19. Let h(g) = -2*g**2 + g. What is the common denominator of h(-1) and ((-10)\/3 + 1)*t\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 110*b**2 - 2018*b + 1066*b + 4*b**2 + 925*b + (0 + 1 + 1)*(b**2 + 3*b**2 - 5*b**2).\nAnswer: 112*b**2 - 27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4174 and 20.\nAnswer: 41740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and 27.93.\nAnswer: 17.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14492 = -5*l - 14477, -7 = 4*v - 5*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b = -25, 5*i - 5*b = -5. Suppose -i*o = o - 25. Suppose 5*u - 30 = -o*m, u + 5*m - 6*m = 6. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 3}. Give prob of sequence ccl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37705667.\nAnswer: 1709, 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 867, 6852, 23105, 54762, 106959, 184832, 293517, 438150?\n\"Answer: 856*p**3 - 2*p**2 - p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 + 101. What is the first derivative of -7*d**2 - 8*d**t - 19 + 2*d**2 wrt d?\nAnswer: -26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 14 = 118. Let c be t\/(-4) + (4 - 1)*-1. Solve c = 2*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088439026 rounded to four decimal places?\nAnswer: 0.0884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21681200 is divided by 16180.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x + 215 = 90*x. Factor -3\/4*n**4 + 0*n - 3\/4*n**3 + 3\/4*n**2 + 0 + 3\/4*n**x.\nAnswer: 3*n**2*(n - 1)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2.5. Let c(u) = -1654*u - 99244. Let v be c(-60). What is the nearest to 0 in -1, d, v, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 557*w**3 + 3*w**2 - 556*w**3 + 2 - 4*w**2 in the form n*w + o*w**2 + u + t*w**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 1075139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 386*k**6\/15 - 651*k**2\/2 - 1066*k. Differentiate l(c) with respect to c.\nAnswer: 3088*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 914\/(-14) - -3. Let y = 60 + c. What is the biggest value in 5, y, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/17)\/((-440)\/176)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b - 40*b - 12*b in the form q + c*b and give c.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -2.12.\nAnswer: 2.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136) - sqrt(136) - sqrt(136))*3 - 1*sqrt(136)*-2)\/(-3*(sqrt(968) - ((-4*sqrt(968) - sqrt(968) - sqrt(968)) + sqrt(968))) + sqrt(968)).\nAnswer: 7*sqrt(17)\/187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 1. Let g(c) = 5*c**2 + 2*c - 1. Let h be 0 - -3 - 380\/95. Let p = 53 - 55. Calculate h*g(x) + p*y(x).\nAnswer: -5*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -301091518 divided by 7\nAnswer: -43013074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i - 2. Let c be 5 + (6 - 5) + -10. Let a(g) be the first derivative of 2*g**3\/3 + 9*g**2\/2 - 4*g + 13. What is c*a(h) + 9*v(h)?\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/78 - 3\/(-6). Let y = -1.1 + -2.9. Which is the second biggest value? (a) y (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.31 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 3*u**7\/35 - 43*u**6\/80 + 13*u**5\/20 + 7*u**4\/4 - 2*u**3 + 97*u**2. Solve g(k) = 0 for k.\nAnswer: -2\/3, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * 0.03746474.\nAnswer: 0.052450636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958 is divided by 142.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*c - 15, -4*c = 3*j - 8*j - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -58. Suppose -3*y = -6*v + 9*v, o*v - 5*y + 40 = 0. Let q(d) = -d**2 + d - 7. Let s be q(0). Sort s, v, -3.\nAnswer: s, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:40 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*q**3 + 489*q**2*w + 2*q**2 - 58*q*w - 562*q wrt q?\nAnswer: -300*q + 978*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 30 + 70. Suppose 25 = 4*q - 19. Let 10*s**3 - 3*s - z*s**5 - s - q*s**3 + 30*s**3 = 0. What is s?\nAnswer: -1, -2\/5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2188251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -66*i + 30. Let s be c(-20). Let -2757 - 222*y + 146*y**2 - 77*y**2 - s - 72*y**2 = 0. Calculate y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.41 - -0.262. Let q = d + 7.048. Round q to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2 + 4*q - 8*q**2 + 475*q**3 + 505*q**3 - 975*q**3. Let y(v) = -v**3 + v**2 - v - 1. What is f(a) + 4*y(a)?\nAnswer: a**3 - 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/8540 and -151\/16470?\nAnswer: 230580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 0*d + 2 + 0*d**2 + 254\/3*d**3. Let z(w) = -2*w. What is r(z(a))?\nAnswer: 1016*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188995609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*s + 1, 31*s - 29*s - 4 = -4*n. Sort 0.1, 4, s.\nAnswer: s, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7584.2874 + -0.3.\nAnswer: -7584.5874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -88*u + 341 + 289 - u**2 + 79*u. Let k be y(0). What is the highest common divisor of k and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0 + 2*v - 1\/12*v**4 + 3\/2*v**2 + 5\/6*v**3. Give x(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 4*h - 5 + 23, -2*h + 6 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988720 divided by 1186?\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnininninn?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 11. Solve -k - z = 4*c, 4*k - 8 = -24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 7 + 18 = 0. Let b(c) = -c**2 - 10*c - 1. Is b(n) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/9))\/(t\/(t*(t\/(t*t\/((t\/t**(4\/9))\/t)))\/t))*(t*t*t**3\/t)\/(t*t**(-2\/3)) assuming t is positive.\nAnswer: t**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - y + 1 - 2, 0 = 2*z - 5*y - 5. Suppose -6*a + 2*a + 64 = z. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996051329 to the power of 1\/3, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -21*j**3 - 3*j**2 - 15*j - 74. What is the units digit of z(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2020201210001201?\nAnswer: -2020201210001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(6\/13)\/y*y*y*y)\/y)**(-35)*(y**(-12\/7))**(13\/8) assuming y is positive.\nAnswer: y**(-9817\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 6. Let v(u) = 6*u - 167. Let q be v(27). Calculate l(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12*c**2. Let o(n) = n + 3*n + 0*n - 10*n. Give o(t(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3497 - 37412. Suppose 5*c - 6*f + 2*f - w = 0, -4*c = 4*f - 5412. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 563*f - 30318 = -99*f + 28600 for f.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/35 in -0.2, 0, -8, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5617575.\nAnswer: 3, 5, 24967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 358264, 716530, 1074796?\n\"Answer: 358266*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 338*w - 338*w + 4 as z*w + t + f*w**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 + 5*l**2 - 67*l**3 - 3*l + 3*l**2 - 9*l**2 + 69*l**3 as j*l**2 + h + x*l**3 + p*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -973\/48 + 261\/16. What is the common denominator of q and 37\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 times -296720?\nAnswer: -27298240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 267 + -384. Let o be (-2)\/(-10) + z*(-9)\/135. Solve -2 = 2*x - o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74411, 297658, 669737, 1190648, 1860391, 2678966?\n\"Answer: 74416*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/5355560 and -67\/3748892?\nAnswer: 37488920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -432224214 (base 5) in base 8?\nAnswer: -7002230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by -3.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2813 and 2619.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8575698 to the nearest integer?\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*d + 411 = 0, -4*d - d = -3*v + 403. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21011 (base 3) in base 13?\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 4*y**2 + 3*y - 1. Suppose 3*k + 5*d = 9, -4*d = 3*k - 4*k + 20. Let r be c(k). Suppose h = 4*h - r. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-2*c + 0*c + 0*c) + 2*c - c - 2*c)*(-3*c**4 + 3*c**4 - 2*c**4).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/7 - 12*b**3\/7 - 4*b**2 + 14. Determine q so that w(q) = 0.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 4*u**2 - 2*u + 4. Let l = 16 + -16. Let w(a) = a**3 - a**2 + a + 4. Let i be w(0). Suppose -3*g + 5 = -i*g - 4*p, l = 3*p. Calculate t(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*l + 55815 = -972*l - 3693 for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.8751982 to 0 decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0542 - 7.1642. Let v = 5 - 12. Let n = v - q. What is n rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/21*12 + 8*22. Suppose 100 = 3*f - m - 3*m, 0 = -5*f + 4*m + s. Calculate the smallest common multiple of f and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 1, u: 1, v: 1, a: 1, t: 2}. Give prob of sequence aumv.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22686 times 250.3?\nAnswer: 5678305.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 + 6*j - 4. Let d(s) = -s + 3. Let b be d(-4). Let w = 20 + -33. Let y = -7 - w. Let t(h) = -6*h**2 - 7*h + 5. What is b*n(u) + y*t(u)?\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 1. Let y(z) = -z. Let r(s) = -s + 1. Suppose -2*o = -6, 3*j + 3*o - 15 = o. Let g be r(j). What is g*n(k) - 7*y(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 13*z - 120. Let i be p(21). Calculate the greatest common factor of 732 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 6. Let s be (-10)\/t*(1 + 1). Suppose 4*q + q + 10 = 0. Which is the nearest to 2? (a) q (b) -4\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-896)\/(-336))\/(1*2\/9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/9, 0.16, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j + 21. Let g(s) = 9*s - 22. Suppose 17 = 3*c - 1. Let m(f) = c*g(f) + 5*i(f). What is the first derivative of m(w) wrt w?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*1 + 7602\/(7 - -7).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -29*u**4\/12 - 43*u**3\/6 - 30*u**2. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11626204 + 365?\nAnswer: 11626571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937*h**2 - 2884*h**2 + 1636*h**2 + 9811*h**2 + 12410*h**2.\nAnswer: 22910*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.058147 + -0.032104. What is t rounded to 4 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043*u + 32544 = -591*u for u.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421422.666 rounded to the nearest ten?\nAnswer: 421420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m = 35*m + 1224. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u + 50. Suppose 0 = 6*h - h + 25. Let k be s(h). Suppose -5*v - 5*x = k, x = 4*v - 0*x - 15. Put -1\/2, 2, -3, v in descending order.\nAnswer: v, 2, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z - 2*z + (5*z - 3*z + 0*z)*(1 - 4 + 2) - 226 + 226 + 65*z)*(-43*z - 1010 + 1010).\nAnswer: -2666*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 9*l - 2*s + 21, 0 = -5*s - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24390 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 111 = 23*z - 94 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**3\/2 - 2*m. Let l(a) = -4*a + 8. Let v(k) = k**2 - 5*k + 10. Let h(d) = 5*l(d) - 4*v(d). What is z(h(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 24 = -3*s. Suppose -i + s*i - 10 = 0. Suppose 2*n + 3*b - 1 = 16, 0 = i*n - 3*b - 11. Solve j + 5 = 2*l, 2*j - 7 = -n*l + 3*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 28 = -0*y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let n = 2 - t. Is -1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - ((-31 - 24) + 27 - -7).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l + 167 + 211 - 4*l**3 - 58*l**2 - 284 wrt l?\nAnswer: -24*l - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 - 29*w**2 - 5*w - 52. What is m(-7)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 6*d - 768. Suppose -98*u + d*u = -76. Calculate the remainder when 130 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/(r**(-4\/7)*r))\/((r*r**(2\/3))\/r**6)*((r**(-1))**(39\/5))**(-40) assuming r is positive.\nAnswer: r**(6592\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-45)*1*(0 - -3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**2\/2 + 2. Let w be u(1). Let m be w - 2\/3*3. Which is smaller: -1\/12 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/28))**(-37)*(n*n**(-6))\/n*n*(n*n*n\/((n*n**(-2\/5))\/n))\/n assuming n is positive.\nAnswer: n**(-549\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -19*a + 29 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsnnmggmngmsnnhg. Give prob of sequence hs.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -466 by -718.\nAnswer: 233\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 3. Let j = -135 + 151. Let w(a) = a**3 - 15*a**2 - 14*a - 10. What is the remainder when w(j) is divided by m(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34036 is divided by 1445.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) 0.4 (c) -2\/145 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*y + 52*y + 2*y - 2 - 11*y - 11*y to the form w*y + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 3*q**2 - 2*q. Let a(h) = -9*h**3 + 25*h**2 - 17*h. Let p = -70 - -19. Let y(x) = p*d(x) + 6*a(x). Factor y(v).\nAnswer: -3*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (164 - 501 - 297)*(-14*x**4 + 8*x**4 + 17*x**4) to the form w + n*x**2 + b*x**4 + r*x**3 + z*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2 - (-1 - (5 - 1))) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31428 - 157138\/5. Which is the fourth biggest value? (a) -10 (b) w (c) -1\/4 (d) 11 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.4 or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 20*d**2 - 5*d - 49. Calculate k(-20).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 86*o**3 - 11*o**2 - 52*o - 272. Let n be c(-11). What is n rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b + 17. Let u(k) = -k**2 + 5*k - 18. What is -5*u(f) - 6*y(f)?\nAnswer: -f**2 - f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0764 to two decimal places.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2216*v - 2359*v + 4580*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10900627 and 808.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x + 4. What is r(-3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1 + 32*l**2 - 13*l + 53 - 25. Is m(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -150412, -150411, -150414, -150421, -150432, -150447, -150466?\n\"Answer: -2*v**2 + 7*v - 150417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.7, -1\/5, 736, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620372.\nAnswer: 2, 31, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, q: 6, c: 4, p: 4}. Give prob of sequence pc.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63774 and 11802914?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/10, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 5*x - 6*m, 5*x - 2*m - 6734 = -6774 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3914319?\nAnswer: 3, 223, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118878141 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5110*j*p**3 - 4*j*p**2 + 33*j*p + 5*j - p**2 wrt p.\nAnswer: 30660*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69982 and 6754.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(-10970)\/(-1097).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/148 - (622662\/(-34632) - 450\/(-25))?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 1\/3 (c) 84 (d) -2.8 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/9*(4002\/115 + -32 + -3)?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55906, 55861, 55816, 55771?\n\"Answer: -45*l + 55951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*o = 140, 4*a + 0*o + o + 204 = 0. Let d = a - -56. Put -3, d, -1 in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 8*g + 14. Let u be a(9). Suppose -4*o + 4*x + 312 = -0*o, u*o - 340 = -5*x. What is the remainder when o is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 12 - (4 + 1)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4\/4 - 3480*k**3 + 209475*k**2\/4 = 0. What is k?\nAnswer: -4655, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-1 - 1 - 2). Let b(z) = z**3 + 3*z**2 - 3*z - 4. Let f be b(-3). Suppose 4*t - 2 = -2*c, 3*t - f*c + 0 = -5. Which is greater: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.3887 (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11243 is divided by 5610.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnssrrrrnsrsnnrnnw. Give prob of sequence ssr.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (84 - -2)*(-13)\/208 and 87\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 - 2*c**3 + 3*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.64*148.2173.\nAnswer: 94.859072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -19. Suppose -b*n + 5*n = 222. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/((-22330)\/(-165))*(-14)\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 14 - 3 + (2 - 4 + 1)*(-2 - 1 + 5) - 1 - 3 + 6)*(-68*j + 844 - 844) as h + i*j and give i.\nAnswer: 1972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffofffffffffofff. What is prob of picking 4 f?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 759 and 4334649?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 7. Let h be (2 + 0 + -1)\/1. Let n be h - 2 - (-7 + 6). Is j greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8240478287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -647 (base 11) in base 4?\nAnswer: -30021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -718.9942 - 0\nAnswer: -718.9942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26, 4, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + -1 + 104\/20. Let z = -1.97 - 0.03. Let f = -2 - z. Which is the second smallest value? (a) f (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13085346 divided by -6.\nAnswer: -2180891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 154871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (5 - (-26 - -31))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (25 - 27) + -34.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + l**2 - l + 1. Suppose -4*u + 5*w = -32, 2*u - 3*w + 0*w = 18. Let t(v) = v**3 - 4*v**2 + 3*v + 1. Let n be t(u). Determine q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92122168573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -3495470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -200. Let k(i) be the first derivative of q*i - 9 - i**2 + 1\/4*i**4 - 2*i**3. What is k(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1067 + -2?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2845974539\/399 + 7132774. Let w = q + -40\/7. Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1060*a - 1050*a - 14630. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/2, -568, -48, 0.5, 2 in descending order.\nAnswer: 2, 0.5, -1\/2, -3, -48, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eose when four letters picked without replacement from {e: 2, s: 1, o: 1, t: 3}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4833 (base 15) to base 6\nAnswer: 155020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*0.528.\nAnswer: -7.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8 and -21\/17834848.\nAnswer: 17834848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a century in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 19 + -1 + -5 - -2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 799687 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {m: 5, q: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 7*c**6\/360 - c**5\/30 + c**4\/8 + 14*c**3\/3 + 143*c**2. Let u(p) be the first derivative of v(p). Calculate u(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871674, -1743348, -2615022, -3486696?\nAnswer: -4358370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2400)\/900*51\/(-2). Let y = 26 + -9. Calculate the greatest common factor of y and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/o**2*o*o)\/o))\/(o\/(o**5\/o*o)*o*o))**1\/((o*(o*o*o**7)\/o*o**(1\/3))\/(o\/(o*o**(3\/5))*o*o*((o\/(o\/(o*o**5)))\/o)\/o*o)) assuming o is positive.\nAnswer: o**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4677000 to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*f**2 + 437*f**2 + 709*f**2 + 143*f**2 to the form j*f + l*f**2 + b and give l.\nAnswer: 1329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 53803 (b) 3 (c) -3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 0.24826?\nAnswer: -1.73782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y = 15. Let z be (2 - 6\/y) + 0. Suppose 2*p - 92 = -z*p. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -114, -106, -70, -6, 86, 206?\n\"Answer: 14*r**2 - 34*r - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d. Let r be (-3 - (3 - -7))*-1. Let u(m) = -11*m + 2. Let g be u(-1). Let w(s) = -2*s**2 - r*s + g*s. What is w(z(b))?\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31212, 62426, 93640, 124854, 156068, 187282?\nAnswer: 218496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, w: 3}. Give prob of picking 1 w and 3 k.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j - 24. Determine d(7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1300 (base 9) to base 3\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m + 13. Suppose -65*t = -302 - 218. Give d(t).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 2*b**2 + b + 2. Let m(g) = 4*g**2 + 4*g**3 - 13*g**2 - 8 - 5*g + g + 0*g. Determine 9*d(o) + 2*m(o).\nAnswer: -o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2 (c) 0 (d) -0.4 (e) 35.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**6 + 22*s**4 + 27*s**3 + 2*s**2 - 1958*s?\nAnswer: -480*s**3 + 528*s + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22173401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 - f - 1 + 0 + 6*f**4 as a + q*f**2 + h*f**3 + n*f + x*f**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h. Suppose u = -4 - 1. Let c = h - u. Let q(j) = j**2 - 7*j + 2. Determine q(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 0 + 20 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgllldlnnlllgd. Give prob of sequence lll.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3682 is divided by 191.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 266179820 to the power of 1\/2, to the nearest integer?\nAnswer: 16315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 134819850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -4 + 7)\/1. Suppose 819 = l*j - 14602. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 87 = 2*l, 100*l - 95*l + 57*x - 153 = 0 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac3 (base 15) in base 11?\nAnswer: -1912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -3625621637.\nAnswer: -3625621636.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 35\/4. Let t = -7 + 10. Which is the closest to 1? (a) -2\/15 (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -24*z + 61. Let x(u) = -47*u + 111. Give -11*m(y) + 6*x(y).\nAnswer: -18*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.098+-13241\nAnswer: -13240.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52609?\nAnswer: 52609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 2*o + 76597, -5*p + 127635 = 2*o. Suppose -p = -6*w - w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 251132936*s\/3 + 7883468942997512\/3.\nAnswer: 2*(s - 62783234)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 114\/42 - 3 - 1572\/(-14). Let j = v + -897\/8. Which is the third smallest value? (a) -0.4 (b) -0.7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515146 is divided by 405?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p = -3. Let h(m) = -3*m**2 + m - 2. Calculate h(p).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g = 164*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -15763.61005\nAnswer: -15759.61005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102203409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -41*s + 48*s. Solve u + 7 = 2*t, 3*u - 2*u + s*t = 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 3:00 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -355, -1956, -4625, -8362?\n\"Answer: -534*k**2 + k + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20472 is divided by 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -32340?\nAnswer: -32333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 = 7. Let x(a) be the first derivative of 0*a**3 + 3\/5*a**5 + 0*a + 3\/4*a**4 + 0*a**2 + z. Find j such that x(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5 + 2285*a**4\/12 - 10925*a**3 + 16245*a**2\/2 + 80*a + 2. Factor x(l).\nAnswer: -5*(l - 57)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + 2 - 1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 5*u. Let p(o) = 7*o + 77. Let r be p(-9). Let w be (-18 + r - 1*8)\/(-2). Let z(f) = 3*f**3 + 6*f. Give w*h(y) - 5*z(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -6 + 1 + -39 - -28\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 474619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 12184980 to the nearest ten thousand.\nAnswer: 12180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 23*t**2 + 249*t - 13. What is the remainder when 1923 is divided by s(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -406*t**5 - 6204*t**4 - 88700*t**3\/7 - 58432*t**2\/7 - 10266*t\/7 + 52\/7 = 0. What is t?\nAnswer: -13, -1, -2\/7, 1\/203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -32*q + 6 + 69*q + 10*q**2 - 22 - 32*q + 12. Let r(a) = a**2 + a - 1. What is 4*r(t) - s(t)?\nAnswer: -6*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.147 - 0.047. Which is the smallest value? (a) 0.247 (b) 0.3 (c) 5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28a - -a31?\nAnswer: cbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9866 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - ((-10692)\/81 + 31)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -673.409 and 13971?\nAnswer: 14644.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1432 is divided by 183?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 2*i - 3*q - 60, -3*q - q - 2462 = -2390 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.2. Sort 5, o, -4 in increasing order.\nAnswer: -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20898911777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Let y(h) = 2*h**2 + 0*h**2 - h**2 + 2*h**2. Calculate x(y(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67788613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14580 is divided by 2842.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -660\/71 + 7189\/781. Sort -3, 1\/5, m, -1, -1.5 in decreasing order.\nAnswer: 1\/5, m, -1, -1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 7:53 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, 1, -2, 261, 3, -3 in decreasing order.\nAnswer: 261, 3, 1, -2, -3, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -653\/57420?\nAnswer: -653\/57420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Let k be -1 - (0 + -1) - -20. Calculate the common denominator of (k\/(-14))\/(1\/c) and -26\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 43 + 20 = 0. Let a = 51 + o. Let g = -36 - -52. Calculate the remainder when a is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35435310 + -1?\nAnswer: -35435311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-5)\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 4. Solve 2*z**4 - 16*z - 25*z**2 - 7 + 13*z**q + 1 = 0 for z.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -19*s**3 - 105*s**2 - 21*s + 64. Let f(y) = 5*y**3 + 26*y**2 + 6*y - 16. Let a(d) = -4*c(d) - 18*f(d). What is n in a(n) = 0?\nAnswer: -2, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 527*n**5 - 686*n**5 - 2006*n**5 + (-n**5 - n**5 + 4*n**5)*(2 + 2 - 5).\nAnswer: -2167*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.5 - -1.1. Let n = -2 - t. Let u be 1*-5 + 12\/12. Put 0, u, n in descending order.\nAnswer: n, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 617566 or 617806?\nAnswer: 617806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2994376, -2994377, -2994378, -2994379, -2994380?\nAnswer: -2994381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-2\/19)*a)\/(a*a\/(a\/a**(-5))))\/(a**0\/((a**(1\/7)\/a)\/a)))\/(a**(-8\/7)\/(a*a\/(((a*a**3*a*a)\/a)\/a*a)))**(-4\/9) assuming a is positive.\nAnswer: a**(6073\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 3 + -13 + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2. Suppose s - 6*s = -40. Suppose -t = 3 - s. Let l(v) = -4*v + 2*v - 4*v + t*v. Determine y(l(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -309*a**2 - 125*a - 57356?\nAnswer: -618*a - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/9*((-9)\/(-3) + 123). Suppose -b - w = -5*r + 329, -r + 109 = 3*b. Calculate the greatest common divisor of r and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61\/170 + 12\/85. Let t be (-6)\/8*2\/(-3). Factor o + t*o**4 - o**3 + 0*o**2 - z.\nAnswer: (o - 1)**3*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/264 and -145\/36?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1*-8*(-4)\/(272\/(-85)))\/2)\/(-6).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**2 + 13*w. Let h(z) = -z**2 + z. Suppose 15 = -4*y + y. Let s = y - -7. Let m(f) = s*q(f) - 22*h(f). Find the second derivative of m(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4019958 to the power of 1\/2, to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5882138 divided by 2?\nAnswer: -2941069","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**3 - 34*n**2 + 20*n - 130. Calculate r(10).\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Convert -4103100033 (base 5) to base 3.\nAnswer: -120112022011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368734 and 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzzzkznznvnvnvnzz. Give prob of picking 1 z and 3 n.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -1, -8 = 2*v - w. Let b be (-2)\/(-2) + v + 1. Suppose 145 = -b*q + 5*q. What is the remainder when q is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/((-5600)\/30)*4\/6\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.11 less than -320424?\nAnswer: -320371.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2318239 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2546615, -2546568, -2546521?\nAnswer: -2546474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 9 - 71*w - 7 + 35*w + 37*w.\nAnswer: w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2331 - 850. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1442 and 53\/1442.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3935247 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q**2 + 209*q + 189. Let s(y) = -7*y**2 + 105*y + 94. Let x(r) = -7*s(r) + 4*v(r). Differentiate x(p) wrt p.\nAnswer: 2*p + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3083*l - 28. Let o(c) = -3086*c + 23. What is 6*o(x) + 5*y(x)?\nAnswer: -3101*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-615447)\/(-24) + (-415)\/664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:36 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7259 and 177299001.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -46341.\nAnswer: 13902.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 9:21 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29658222.77000638 - 29658032.77. Let p = a + -190. What is p rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 - -209.1. What is the closest to x in 0, -0.4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - y - y + 56 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30860873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50949924*-1.\nAnswer: -50949924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 10*c**2 + c - 3. Let r be g(-10). Let u(p) = -p**2 - 17*p + 4. What is the units digit of u(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*l**3 + 118*l**3 + 88*l**3.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 55*h**2. Is m(1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*v - d, -5*v + 4543 - 4515 = 2*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124485 + -124488. Suppose 0*r = 2*r + 6. Is f smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.6 + 6.6. Is o < 2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 8:13 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*o - 380 + 1290 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 168 = b, -2*r - b + 120 = b. Suppose -29 + r = 14*v. Solve 0 = -4*f - 2*s - 6, 3*f + s + 3 = -v*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360022458229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 7*v**2 - 4*v**2 - v**2 + 2*v**2 + 2*v**2 + (3*v - 2*v + 0*v)*(312*v + 190*v - 156*v) to the form a + d*v + k*v**2 and give k.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -242*7\/(98\/(-63))*8\/198?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4556.2749 to the nearest integer.\nAnswer: -4556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 29. Let p be d\/(-99) - 70\/(-22). Differentiate -3 - 8*r**4 + 8*r**4 + p*r**4 wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19796567?\nAnswer: 7, 1483, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j)**(9\/5)\/(j**1)**(2\/125) assuming j is positive.\nAnswer: j**(-2\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1079100 and 35752.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**5\/5 + f**4\/6 - f. Let i(m) = -m**3 - m**2 - m. Suppose 0 = -2*z + 4 - 2. Calculate z*l(v) + 2*i(v).\nAnswer: 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-45346)\/(-1185))\/(-287))\/(2\/20).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39116 (base 10) in base 13?\nAnswer: 14a5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p - 50*p = 9. What is the second derivative of -p + 128*r**3 + 7 + 241*r - 235*r wrt r?\nAnswer: 768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*k**4 - 261?\nAnswer: -232*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 2\/9, 0.2, -5.\nAnswer: -5, 0.05, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 128477087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*b**2 - 65 wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -3. Suppose 0 = 6*v - 30 - 144. Calculate the remainder when v is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5976*d = 6099*d - 11645*d - 26660 for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 1 (c) -4\/19 (d) 2 (e) -0.135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j + 3*j**2 - 4*j**2 + 6*j**2 - 6*j**2.\nAnswer: -j**2 - 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7446 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48029873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) + (sqrt(13) + sqrt(208))**2) + sqrt(208)*5 - (-4*(-2*sqrt(637))**2 + 0).\nAnswer: 16*sqrt(13) + 8892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-650)\/(-18))\/(36\/(-3375)). Let y = i - -3394. Let z = -483\/5 + 1939\/20. Calculate the common denominator of z and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**4 + a**2\/2 - a + 50. Let q(b) = 3*b**3. Let d = 8 - 5. Calculate d*q(z) + 2*h(z).\nAnswer: z**3 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2160554692 - 0.\nAnswer: -2160554692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 c when three letters picked without replacement from llcllllhlgljllhcjllm?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 7*b**3\/6 + 26*b. What is the units digit of f(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -236031, -472064, -708097, -944130, -1180163?\n\"Answer: -236033*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/48 + -3 + -12 + (-7482)\/(-504)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105\/(-90) + -3 + 4. What is the second biggest value in 0.2, -39\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -146*n**2 - 2*n + 2. Give d(1).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.1 - 9. Let h = -55.6 + 56. Let d = -0.1 - h. Sort d, 1, y in increasing order.\nAnswer: d, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-7)\/((-1708)\/327944). Let l = -1344 - w. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/7 + 528\/154. Suppose 5*q - 4*q + 48240 = 5*a, a = -z*q + 9664. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6 - 3*f + 4 + 7 + 2*f. Let h be l(7). Suppose -9*x = -4*x - h. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 925554523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 11\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025030138 rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i\/(i\/(i\/((i\/(i**(-3\/4)\/i))\/i)*i)*i))\/i*i)*i**(-28)\/i*(i**(3\/5))**(-25) assuming i is positive.\nAnswer: i**(-169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -8.58\nAnswer: 0.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 835664 = -329766. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 2. Let t(d) = d. Let k(l) = l + 1. Let j(f) = -3*k(f) - t(f). Calculate 13*c(z) - 6*j(z).\nAnswer: -2*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -897827602?\nAnswer: 897827601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 3:14 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 150 - 214. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544763982 to the power of 1\/2, to the nearest integer?\nAnswer: 23340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c - 26 = -4*j, 2*c - 2*j = -30. Let r(i) = i**2 + 12*i - 73. Let s be r(c). Calculate the greatest common divisor of s and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from cwcccccccccccwcccc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5897081 centuries to years.\nAnswer: 58.97081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147 + -199 - (-38 - 4) - (-22 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2071854047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.089, 2, 3?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 14 - 7. Let z = -7 - l. Solve 3*v - p - 4*p + 7 = z, 5*v - 3*p + 17 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 2*p**2 + 2 - 5*p + 3*p**3 + 112*p in the form o*p**2 + a + z*p + k*p**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 11*q**2 + 4*q**2 + q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2 + 5*x - 4. Suppose 7*t - 42 = 7. Let v(j) = 13*j**2 + 9*j - 7. Give t*h(q) - 4*v(q).\nAnswer: -3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100793882 is divided by 853.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 399 and 373 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + n**2 + n**2 - 16 + 5*n**2 + 16 + (-n + 2*n - 3*n)*(-2*n + 3*n - 2*n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {o: 1, l: 3, y: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 4:19 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 0.7 (c) 0.1 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let q(c) = -8*c + 25. Let z(l) = -2*k(l) + q(l). Let y be z(4). Let p be (-3 - 20\/(-4)) + y. Solve 4*i = -4*u + 24, -p = -i + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - 5*k)*(-1 + 0 + 0) - 4*k + 180 - 145 + 8*k.\nAnswer: 6*k + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(sqrt(19) + 1))**2.\nAnswer: 18*sqrt(19) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*n - 0*n. Let r = 864 + -864. Let j be (n\/(-35))\/(1 + r). What is the nearest to 1 in j, -0.4, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*((-3355)\/10 - (-2)\/(-2)). Let a = -382 + s. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265589995 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 572, 2128, 4720, 8348, 13012?\n\"Answer: 518*t**2 + 2*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 4:51 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiilliiiiii. What is prob of picking 3 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -4*x + 5*r, -x - 3*r + 12 = 48. Let v = x + 43. What is the lowest common multiple of v and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 13) to base 6.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y - 60 = 325 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-18)\/5)\/(-39)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/22 and -5 + 1275\/250 + (-58)\/608?\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611214*n**4*s + n**3*s - n**2*s - 11*n**2 - 3*n + 31*s + 1 wrt n.\nAnswer: 14669136*n*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.913976g in micrograms?\nAnswer: 1913976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - 5. Let t = -4 - b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15497840, 30995676, 46493512, 61991348, 77489184, 92987020?\n\"Answer: 15497836*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14491470, -14491492, -14491530, -14491584, -14491654, -14491740, -14491842?\n\"Answer: -8*w**2 + 2*w - 14491464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.1 + -14. Which is the fourth smallest value? (a) 2\/11 (b) 2\/13 (c) s (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259553, 259542, 259523, 259496?\nAnswer: 259461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -251*h - 3810. Give q(-15).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*v - 6 = 0, -5*t + 3*v + 2 = -0*t. Let n be (31 + -32)*(0 - t*2). Find the third derivative of -128 + 128 + 9*r**3 + 19*r**n wrt r.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -6 in descending order.\nAnswer: 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1497*r - 184125. What is y(-123)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 - 2 + 26*j**4 + 1 + 95*j**4 + (-3*j**2 + 2*j**2 + 0*j**2)*(4 - 4 + j**2).\nAnswer: 120*j**4 - 2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 9. Suppose m = 5*i - 10, -i + 2*m = -3*m + 22. Solve 8 = -z - i*r, -r - 7 - a = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297879 is divided by 148902.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:30 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = l - 11, -4*l + 19 = -3*b + l. Let g(f) = f**3 - 2*f**2 - 3*f. Let o be g(3). Let y = o - b. Solve -5*p = q - 13 + y, -3*q + 19 = 4*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/5*((-136)\/252 + 45\/14580*36).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1704696 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(18)*2)\/sqrt(6))**2 + 0 + sqrt(12)\/sqrt(4).\nAnswer: sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 2*b - 18. Let c be q(-6). Let p(y) = y - 2. Calculate p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14*6\/(-21) + -2. Suppose 8 = -4*u, -v*u = -3*n + 1752 + 1795. List the prime factors of n.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16 + (-3 - 10))*11\/(-81))\/(16\/(-192))\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/4*6*(12\/(-90))\/((-12)\/90)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30355 and 221585.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 14*s**6\/15 - s**5 - 3*s**4 + 10*s**3\/3 + 4*s**2 + 18*s. Factor n(d).\nAnswer: 4*(d - 1)**2*(d + 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 599215*r**3 - 4793955*r**2 + 10187285*r - 5992550 = 0.\nAnswer: -119851, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 23. Let n = -80 - -55. Let w be 38\/10 + (2 - (-45)\/n). What is the highest common divisor of i and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + r**2 + 5. Let x(t) = -t**2 + 2*t + 35. Let l be x(7). Is c(l) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 4. Let x = -290 + 298. Suppose -f - 14 = 5*t, 2*t - 3*f + x = -f. Give m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2661.7 - 2995. Round a to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - b + 0 + (b + 5*b - 4*b)*(-2 - 2 + 3) + 18*b + 43*b - 9*b + 87 - 6*b - 87 + (-3*b - b + 0*b)*(3 + 3 - 2) as i*b + d and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*c**2 + 2 + (3 + 0 - 1)*(-c**2 - 2*c**2 + 2*c**2) - 1 + c**2 + 1 + 20532*c**2 + 5449*c**2 + 19783*c**2 - 807*c**2 - 5880*c**2 + 7517*c**2.\nAnswer: 46595*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*o = -524*o + 11970. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**2*z**2 - 230*p**2 + 192*p*z**2 - 2*p + 10*z**2 - 4*z + 5 wrt z.\nAnswer: -2*p**2 + 384*p + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4900) - -1*sqrt(4900))\/sqrt(7).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*c + 14*c - 11*c + ((-2*c + c + 0*c)*(6 - 4 - 3) + 2*c + 2 - 2 + 1 - 2*c - 1)*(-1 + 2 - 3) + 2*c + c - 2*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 - 2 - 4) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5890 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45905*i**2 + 30071*i - 30071*i.\nAnswer: -45905*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 0) + (-72)\/(-72). Let z(k) be the first derivative of -1 + 0*k**2 + 1\/20*k**5 - 1\/16*k**h + 0*k + 0*k**3. Factor z(s).\nAnswer: s**3*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 18*r - 9. Let l be x(-9). Suppose 10*o - l = 58. Let a = 9 - o. Sort -3, -1, a, 1 in increasing order.\nAnswer: a, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 97 + 143. Is n a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 20 - 8 = 0. Let y be 1*u + (-5 - -3). Sort 0, 1, y.\nAnswer: y, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.5 - -22. Let u = d + 1.4. Which is the nearest to u? (a) 5 (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*s**2)*(-6*s + 4*s + 4*s) + 3*s**2 + 1308 - 4*s**3 - 4*s**3 - 1306.\nAnswer: -12*s**3 + 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 35519754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 4*i**2 + i**2 - i**2 + i**2 + 2*i**2 + i**2 - 1 + 1 + (-4*i + 4*i - i)*(-2*i + 4*i - 3*i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + 4. Suppose -234 = -g - 5*g. Suppose 0 = x + 25 - g. Sort a, x, 5 in decreasing order.\nAnswer: x, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50005 is divided by 24991?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -p - 2*p + 15, -p = 4*q - 35. Suppose 2*b - 4*l = 12, 4*b + l - q = -3. Solve -b*i = 1 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10519349 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23188 and 26928.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20405663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2615, 3644, 4683, 5732, 6791, 7860?\nAnswer: 8939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 9:45 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.041.\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*k + 1543*k - 624*k - 439*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 79.28017 decades?\nAnswer: 0.7928017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -618*m*u**2 - 4*m*u + 24*m + 4712*u**2 + 499351 wrt u?\nAnswer: -1236*m*u - 4*m + 9424*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 498 and 37433.\nAnswer: 224598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/173929361 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/3 - 2. Let g(x) be the first derivative of 2\/3*x**3 + 1 + 0*x**2 + 0*x. Give z(g(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = -0*i. Let j(d) = -19*d**3 + d**i + d**2 + 1 + 3*d - d. Let s(y) = -299*y - 2991. Let t be s(-10). Give j(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0 - 1\/4*w**4 - 12*w**2 - 17*w + 9\/2*w**3. Solve i(a) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 + 4*r**2 - 1 + 2*r + 6*r. Let w be t(-8). Let o be w*(-2 + 8) + 1. Sort o, 0.1, 4 in descending order.\nAnswer: 4, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 765 - h + 840.\nAnswer: -3*h + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 30 + 114 - 29 - 3*f**3 - 27 + 83*f**2.\nAnswer: -3*f**3 + 83*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -18*z - 58. Let i be p(-7). Let m = i + -58. Suppose 5*x = -5*j, 2*x + 1 + 1 = -3*j. Calculate the highest common factor of x and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**2 + 45*a**3 + 49*a**3 + 34 - 132*a**3 + 6*a + 39*a**3. What is o(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1197.65 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 5*g**2 + 6*g + 2. Suppose 15 = 2*z + 27. Let h be x(z). Solve -3 = 2*w + 2*u - 3*u, -5*u = h*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2249057.\nAnswer: 73, 30809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -13*b**6\/120 - 63*b**3\/2 - 5*b**2 - b. Find the first derivative of g(f) wrt f.\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 i when four letters picked without replacement from {a: 3, u: 3, i: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 3*s + 7. Give p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 + 61*a**2\/5 - 235*a + 1375.\nAnswer: -(a - 25)**2*(a - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 673, 3\/5, -1.1, -2\/13, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 5276.\nAnswer: 5276.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -2996, -10150, -24096, -47102?\nAnswer: -81436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2699659*y**3 + 135304.\nAnswer: -8098977*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*c - 6944 = 69*c - 196*c + 5616 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.205 rounded to 1 decimal place?\nAnswer: 17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(9\/(-6) - -1). Let w be (5\/2)\/m*-2. Is (-5)\/((-10)\/36) + w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5681.566 + 5693. Let f = -0.934 - -0.9. Let y = u + f. Round y to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2920 = 5*k + 680, -3*k + 1361 = 4*t. Solve 10*j + 507 - k = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i**2 - 103*i + 16. Let t(g) = 40*g**2 + 310*g - 56. Let u(c) = 5*t(c) + 16*y(c). Solve u(m) = 0 for m.\nAnswer: -12, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*-10456\nAnswer: -167296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3 - -9.3. Let m = x - 1.722. Let n = m - -0.022. What is the third biggest value in 54, n, 2\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1080)\/(-171))\/12*(-7)\/(42\/3)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6650300 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*l = 52 + 128. Let o(v) = -v**3 - 2*v**2 + 5*v + 1. Determine o(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 36 = -0*q. Calculate the highest common divisor of q and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000345976 to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30420 times 7?\nAnswer: 212940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3982 at most as big as 699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27745\/6 + 4635. What is the common denominator of h and -62\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-7) - 85\/(-35). Suppose -5*z + 52 - 42 = 0. Suppose 2*r = -k + 18, -z*k - 12 = -r + 2. Solve 2*t + r = 4*p, q*t - 7 + 18 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 283 in ascending order.\nAnswer: -5, 2, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64\/6*36\/8. Let o be -1 + 0 + 0 + -21. Let p = -10 - o. What is the greatest common factor of p and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 167.2 and 157699179?\nAnswer: 157699011.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**4\/k)\/((k*(k*k**(-3\/2))\/k*k)\/k*k))\/(k**0*k**4))**(-10))**(-25) assuming k is positive.\nAnswer: k**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5769 + -92227\/16. What is the common denominator of x and -39\/15458?\nAnswer: 123664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-29\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 191046 and 511329?\nAnswer: 17385186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 24. Let y be k(11). Let o(g) = 6*g**2 - 4*g - 1. Let x be o(y). List the prime factors of x + -3*4\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -4. Let k = -11 - i. Let f = -238\/3 + 80. Which is the third biggest value? (a) f (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15268\/7245 + -3\/805. Find the common denominator of n and -63\/794.\nAnswer: 7146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428071 is divided by 213434.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 73*v**3\/3 + 187*v**2\/2 - 21*v - 1. Is f(24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11555732?\nAnswer: 2, 167, 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + f + 1, 3*a + a = 7*f + 27. Sort -3, a, 0, 4, -6 in descending order.\nAnswer: 4, 0, a, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 8*t**2 - 23*t + 49. Give p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 646305 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3658*a**3 + 2*a**2 + 33*a - 127. Is q(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.8 (b) -7054 (c) 1 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -2 - (1 + -2). Let d = 0 - i. Is d less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3571459*d*s**2 + 6*d - 765582459*s**2 wrt d?\nAnswer: -3571459*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4658 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -153537 divided by 4\nAnswer: -153537\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:10 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2439 to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 51 (b) -5\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4031 - -143176?\nAnswer: 138145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*x)**(11\/6)*(x**0)**15 assuming x is positive.\nAnswer: x**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38763 and 17082?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8 and 101\/718.\nAnswer: 2872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 28*t**2 + 41*t + 36. What are the prime factors of n(7)?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 + 68. Does 26 divide (-401)\/(-5) + r\/(-75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1441 + -1439. Let t(p) be the first derivative of 10 + 1\/3*p**3 + 0*p**k + 0*p. Let u(g) = -19*g**2. Give u(t(y)).\nAnswer: -19*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-141)*(-18)\/12)\/(819\/364)?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*y + 51*y - 95*y)*(-y + 4 - 4) + 0*y**2 - y**2 + y + 3*y**2 in the form k*y**2 + s*y + h and give k.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 21880 and 21417 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 858, 1793, 2728, 3663, 4598, 5533?\n\"Answer: 935*m - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3501\nAnswer: -1\/3501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from vkvvw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*z - 42*z + 13*z + 75*z in the form c + f*z and give f.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(4\/66). Suppose 0 = 4*y - t - 81. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(296\/(-12))*(-16)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*a + 3*n - 4*n, 5*n - 23 = a. Let i be a*2*(-4)\/12. Suppose 0 = -6*g + 10*g - i. Solve r = -g*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 86 + -5241?\nAnswer: -51aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3277 and 551?\nAnswer: 62263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 1489818*x - 1109778836562.\nAnswer: -(x - 1489818)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxn when three letters picked without replacement from vxxvnzzxxv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -6 (b) 0.7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**2 + 62*s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q - 26. Let j be l(5). Let b(o) = 2*o - 38. Let x be b(j). Let m(t) = t**2 - t + 7. Calculate m(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*4*(-5 + sqrt(1331)) + ((-1 + sqrt(1331) + 0 - sqrt(1331)) + sqrt(1331) + sqrt(1331))*-4)**2.\nAnswer: -61600*sqrt(11) + 1053504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2269\/740 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1046500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1146474 and 21223923.\nAnswer: 7077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (171\/7)\/3*118300\/16900\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 4*x = 0, -7*n - 2*x = -9*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58452790 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:09 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 + -273. Suppose -w = -3*w - i, -2*r = -4*w - 144. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -3437\/2?\nAnswer: -3437\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 929 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 18 = o - 3*q, 2*o = q - 54. Let x = o - -89. What is the remainder when x is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/17, -0.1, 2, -7, -2\/18899, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346971 is divided by 969.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 251 + -226. Let f be ((-1)\/1)\/(5\/v). Sort f, 0, 3 in increasing order.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 118*x**2 - 253*x + 1564. Give l(120).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 2125867 - 2125867.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*j - 46, -j = -2*j - 5. What is the first derivative of -3 - 57 + 16 - w - 69*u**4 wrt u?\nAnswer: -276*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/2*(-80)\/50. Suppose 5*b - 1 + 5 = 4*h, 4*b = 2*h + d. Suppose -34 = -11*n - 1. Are h and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 4*z**2 - 3*z + 5. Let n be m(-5). Which is the nearest to 1? (a) n (b) 2 (c) 2\/9 (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, -0.4, -3 in increasing order.\nAnswer: -3, -0.4, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 61 + 49. What is the remainder when o is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-27) - (-2)\/9. Let f be 57\/(-38) - ((-129)\/r + 0). Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 4*v + v)*(28 - 14 - 27)*(11 - 21 - 3) to the form j + u*v and give u.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w**3 + 4*w**2 - 3*w - 4. Let t(j) = -9*j**3 - 5*j**2 + 4*j + 5. Let g = -1311 - -1315. Calculate g*t(a) + 5*r(a).\nAnswer: 14*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*r**4*w - 3*r**4 - 2*r**3 - 42*r**2*w wrt r.\nAnswer: 408*r*w - 72*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z - 3. Let b be n(-5). Suppose 0 = b*r - 90 - 40. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 195765604.\nAnswer: -1\/195765604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 357715513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -3, -1, -372, 4, 5 in descending order.\nAnswer: 35, 5, 4, -1, -3, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 - 6*i + 4*i + 5*i**3 + (i**2 + 7*i**2 - i**2)*(2*i - i - 4*i) in the form z*i**2 + l*i + a*i**3 + c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 750076289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2158705 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -653, -2898, -6639, -11876, -18609?\nAnswer: -26838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76465, 76467, 76471, 76477, 76485?\nAnswer: 76495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 6*v - 2. Let a(w) = -w + 15*w**v - 9*w**2 - 3*w. Let r be a(-5). What is r rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 6*m**2 + 178*m + 0*m**2 - 2*m**3 + 7*m**2 to the form x*m + b*m**3 + g + o*m**2 and give x.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156915 (base 15) in base 16?\nAnswer: fca2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7056, 1792, -7 in ascending order.\nAnswer: -7, 1792, 7056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-3)\/21)\/((-2)\/(-7))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4319302, -4319301, -4319300, -4319299, -4319298, -4319297?\n\"Answer: n - 4319303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (20 + -2 + 110 + -118 + -12).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -39.9*77\nAnswer: -3072.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6198*v + 4*v**2 + 2*v**2 - 3*v**2 - 2 + 3235*v + 3296*v as b + i*v + j*v**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18472020, -36944083, -55416146, -73888209, -92360272?\nAnswer: -110832335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 21*b - 303. Determine o(31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19794 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9999, 10001, 10005, 10011, 10019?\nAnswer: 10029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.74 - -5.74399. Round y to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*p - 18, 5*d + 3*p = 2*d. Let g(c) = -c**2 - 3*c. Let m(v) = 4*v. Give d*m(k) + 4*g(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3779*p + 724. Is o(29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 10.9246cm?\nAnswer: 0.000109246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecffoffcffxfecffcff. What is prob of sequence fof?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3 + o + 0 - 2. Let j be c(5). Suppose -5*y = 2*n - 16, j = 2*y - n - 1. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*s. Let i = -0.6 - -1. What is the closest to -0.1 in i, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -123, -309, -633, -1137?\n\"Answer: -7*z**3 - 6*z**2 - 23*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 c when four letters picked without replacement from clcoocllki?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.384 take away 41897720?\nAnswer: -41897720.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - ((-5 - -34) + -22) - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2210, -2, 0 in increasing order.\nAnswer: -22, -2, 0, 2210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 10*y**4 - 6*y**4 + y**4 - 2*y**4 - y**2 - 4*y as t*y + z*y**3 + c + w*y**2 + k*y**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -5)*(-30)\/9. Let d(w) = -2*w**2 + w**2 - 2*w + f*w + 12. Let g be d(9). Solve q = g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y = -1. Let z(x) = 2*x**2 - 1. Let i be z(y). Let d be 3 + (i - 1)\/3. Solve -d*r - 3*s - 18 = -0*s, 0 = 4*r + 5*s + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/5 + 32*r**3\/5 - 384*r**2\/5 + 2048*r\/5 + 11. What is j in c(j) = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.7. Let w = 0.032 + -12.032. Let j = w + 9. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 - -153. Suppose 7*o - f*o - 16 = -q, 0 = -3*q + 2*o + 47. Let n(x) = -11*x - 9. What is the remainder when n(-6) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140001 bigger than 140000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -8. Solve 5*b + 15 + q = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 - 4*j - 6*j**2 + 3*j - 72512*j**3 + 3*j + 72195*j**3 in the form n + h*j**2 + s*j**4 + y*j**3 + r*j and give y.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.3, -0.038, 19107?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((325\/(-39))\/25))\/(6\/10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8897 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -188*o**2 + 2250*o + 1. Calculate g(12).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from hqdddqqqqhddahddqd.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20605 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*h - 607, -c + 45 = -4*h - 154. Suppose u + 0*u = c. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 11522885?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l\/(l*(l*l**(-1)\/l*l)\/l)))*l*l**(-2))\/(l**(-3\/4)*l*l)**37)**42)**(-48) assuming l is positive.\nAnswer: l**93240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/100830732?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2471 and 12397.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Suppose 6*q - 486 = f*q. What is the highest common divisor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-8) - (-8 + (-148)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/17790 and -17\/70257.\nAnswer: 416624010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - -1 - 1 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (15 - 7) - 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(99) - sqrt(99))\/sqrt(9)*2 - (-4 + 6*(-2 + sqrt(539) - sqrt(539))))**2*-4.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-3\/4)*i*(i*i**(1\/13))\/i*(i*i**(1\/5))\/i*i**(-4) assuming i is positive.\nAnswer: i**(-643\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -3*a. Suppose -5*u = -f - 15, 3*f + 0*u + 4*u + 7 = 0. Let c(t) = t + 8. Calculate the remainder when c(f) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36698 and 1888?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1154\/(-32312))\/((1\/7)\/(-1)*2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 + 5))\/(21\/28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64335, 128623, 192911, 257199, 321487, 385775?\nAnswer: 450063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10921 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12706860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9381, 19322, 29263?\n\"Answer: 9941*j - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y - 38*y + 24*y = 598 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*-2*sqrt(156) + sqrt(156) - sqrt(156)) + (sqrt(156) - (sqrt(156) + sqrt(156)*-2))*1)\/(-4*sqrt(588)*-1 + sqrt(588) - sqrt(588))*-6.\nAnswer: -18*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(1\/3). Suppose 3*h + 3*h = 18. What is the third derivative of -2*b**2 + 7*b**m + b**h - b**3 - 2*b**3 wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppbbbpbrpppvp. Give prob of sequence rp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996836 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/49 - 188\/441. Is -1\/6 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/3)\/(14\/(-273)). What is the greatest common divisor of m and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyppyy.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1799\/12 + 150. Let r(v) be the second derivative of 5\/6*v**3 + 2*v**2 + 0 + v + f*v**4. Determine r(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:31 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + sqrt(19) + 0 + sqrt(19) + sqrt(19) + 4 + (-5*-1*sqrt(19) - sqrt(19)) + sqrt(19) + (3*sqrt(76)*-6)\/sqrt(4))*1 + -2)*3)**2.\nAnswer: -324*sqrt(19) + 13887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -10 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/2*(-12 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 55*j**2 - 4*j - 28. Let p(l) = -56*l**2 + 4*l + 28. Let u(o) = -3*c(o) - 2*p(o). Let w be u(-4). Let a = -553 - w. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 33*i = 42 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/20)*t\/((t*t*t**(-2\/5))\/t))\/(t\/t**(-2\/3)*(t**(-7\/4)*t)\/t))**(-13\/5) assuming t is positive.\nAnswer: t**(-299\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 43 = -18*w + 21*w, -7*g = -3*w - 59 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:38 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 3*k**2 + 4. Let f be w(-3). Suppose -108 = -r - 3*r - f*z, 27 = r - 3*z. What is the highest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + i - 15 = 0, 4*o - 4*i + 3*i + 20 = 0. Let k(g) = -2*g - 17. Let x be k(o). Let h(c) = c - 3. Determine h(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 89.3101 years?\nAnswer: 0.0893101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842134347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235569*s**6 - 38*s**2 + 1382*s - 2 wrt s.\nAnswer: 28268280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 - (-4 + 5 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-2))\/(1\/1) + 3411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*j**3*w**2 + 3429*j**3 + 339*j**2*w**4 + 9*j*w - 2 wrt w.\nAnswer: 262*j**3 + 4068*j**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113135 (base 8) to base 15.\nAnswer: -b613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, -1 in descending order.\nAnswer: -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d + 300 = 5*t, 3*d = -15. Calculate the remainder when t is divided by (-6)\/(-8) - (-243)\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38947*b**2 + 34098 wrt b?\nAnswer: -77894*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - -0.08. Suppose 0 = -4*s - 5*v + 4*v, -5*s - 2*v = -3. Which is the closest to 0.1? (a) s (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31132 is divided by 2283?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 6*m**3 - m**3 - 5*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -281, -416?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 3, c: 4, b: 4, m: 7}. What is prob of picking 2 c and 1 b?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 380279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - 6*t**2 - 6*t**2)*(2 + 1 - 2)*((2*t - 4*t + 4*t)*(-1 + 1 - 1) - 3*t + 3*t + t + 0*t - t - t) to the form r + d*t**3 + u*t + v*t**2 and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 69083.24 milliseconds?\nAnswer: 69083240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 705 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -83*k + 55. Let v(g) = -150*g + 100. Let h(w) = -20*s(w) + 11*v(w). Let i(f) = 13*f**2 - 3*f**2 + 2*f**2. What is h(i(z))?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 11*i**2 - 11*i - 1. Calculate p(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*j = 0, 4*a - j - 16 = 3*j. Suppose 9*i = a*i + 203. What is the remainder when 98 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61.04 - -61. What is l rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(11\/2))**48*(t**(2\/11))**(2\/29))**(-4\/9) assuming t is positive.\nAnswer: t**(275600\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*((-d + d - 5*d)*(-d**4 - 2 + 2) - d**5 + d**5 - 2*d**5).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4548 divide 2130937151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -12, -14, -43, -1 in descending order.\nAnswer: 5, -1, -2, -12, -14, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 6. Let h be j(-3). Let u be ((-21)\/5 + h)\/(5\/(-50)). Suppose -1661 = -u*z + 367. Calculate the remainder when z is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -90*c**2 + c + 1. Let a be f(-1). Suppose 76 = -2*j - 194. Let b = a - j. What is the remainder when b is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/84*(495\/(-176))\/(-3).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 3. Let h = z - -7. Let -1\/2*a**h + a + 1\/2 - a**3 + 0*a**2 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4098 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: Suppose -46 - 38 = -4*b. Suppose 4*i + 1 = b. Suppose i*w = 2*w + 6. Solve -w*p - 24 = 4*y - 4*p, -3*y - 3*p = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 72. Suppose 0 = -i - 6 - 23. Let f = a - i. Solve x = -2*v + f, -2 - 10 = -4*v + 5*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 11*m - 4*l + 10864 = 0, 3*m - 4*l = 8148. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**4\/6 + 5*m**3\/6 - m**2. Suppose -43*b + 28*b + 22*b + 28 = 0. Calculate v(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -732 - -831. Calculate the remainder when h is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7728 - 123725\/16. Calculate the common denominator of w and -43\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.863 - -0.163. Let r = 10 + d. What is the nearest to r in 5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13255624 less than -0.471?\nAnswer: 13255623.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 480\/11 (b) -2\/5 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124111980.\nAnswer: 2, 5, 53, 883, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*p + 4, 5*l + 16 = 6*p - 7*p. Suppose -p*j = 8*j - 4116. Calculate the highest common divisor of j and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h + 12 = 0. Let d(q) = 3*q + 2. Let n be d(h). Let o = -5 - n. What is the highest common factor of o and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185612 by -46403.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -157*d - 276. Calculate k(-4).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4661469883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2170840 and 5530.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2893)\/88 + -8 + -7 + (-55)\/(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 6. Suppose 0 = -4*q + 2*v + v + 11, 0 = u*q - 5*v - 20. Let y(i) = -3*i + 1. Give y(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 3 + 43 = 0. Suppose i*m = 3*m - 5*k - 40, 5*m = 5*k + 120. What is the remainder when 89 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -69. Suppose -15 = -2*v - v. Suppose 0 = 2*w + 3*k - 191, -j - 35 = -w + v*k. What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*y - 8, 0 = 3*t + y + 3*y + 1. Let k be 6*33\/3 - (t - 3). Suppose m = 180 + k. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 96 = 4*q, 0 = 5*j - 2*q - 95 - 7. Let r be 18\/30*j\/6. Let v = 2 - r. Let n(g) = g + 20. Calculate n(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 440 = 3*i. Suppose 6*u - u = -i. Is (u\/(-6))\/((-3)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 4) to base 8\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -112. Solve 2*v = q + s, -q - 6 = -v - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 12224*d - 1284512. Determine z(106).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*l*p*x + 5*l*p + 71081*l*x**2 + 6*l*x + p*x**2 + p*x - 459*x**2 + 2377*x - 6 wrt x?\nAnswer: 142162*l + 2*p - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -4, 11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven quarters of a day?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -3*(3 - (-1)\/3). What are the prime factors of 0 + n*(-815)\/15?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (883 - 883 - 46*m)*(5 + 3*m - 5) as n*m**2 + g*m + o and give n.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3271 + 10517. List the prime factors of v.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*p + 11 = 0, -4*p = 3*z + 346 - 333 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300556.\nAnswer: 2, 29, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28394, -113458, -255180, -453566, -708622, -1020354, -1388768, -1813870?\n\"Answer: -k**3 - 28323*k**2 - 88*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 54130 - 54130.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*d**3 - 57*d**3 + 49*d**3.\nAnswer: 193*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 6. Let p be i(-5). Let a(l) = 2*l**2 + l - 26. Let r be a(4). Is r greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/7 (c) -1\/51 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by -1594475\nAnswer: -444\/1594475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 213514 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 18 - 99 = 0. Suppose -l = -v - 30. Suppose -u = u - 3*c - 45, l = 2*u + c. Calculate the smallest common multiple of u and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 3*1\/3. Let x be (60\/8)\/(j\/(-16)). Is (-402)\/(-10) - (-8)\/x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 324*z**3 + 1521*z**2 + 2616*z - 14832.\nAnswer: 3*(z - 103)*(z - 4)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031280295 rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -18*a - 196. Let p be r(-11). Solve -3*d - p*d = -n - 10, -d + 2 = -2*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = 0, -4*m - 2*v = -36. Suppose -16 = -4*g + 4*o, 4*g = 3*o + 22 - m. Which is smaller: g or -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 341 = -219. Solve v*x + 5*x = -21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:07 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q + 1. Let m = 18411 - 18320. What is the remainder when m is divided by l(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/2 (b) 3\/7 (c) -34 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 2*j - 18*j + (j + 4 - 4)*(-3 + 2 - 4) + j - 4*j + 2*j + (3*j - 4*j + 0*j)*(-1 + 5 - 1).\nAnswer: -23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(6*p**2 - 3*p**2 - p**2)*(12*p + 8 - 8) in the form o*p**2 + h*p + x*p**3 + j and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 29*w**6\/360 - 89*w**4\/24 - 31*w**3\/6 - 19*w**2 - w. Let x(y) be the first derivative of m(y). Differentiate x(t) wrt t.\nAnswer: 58*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11200 (base 3) to base 10\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9690 and 128280?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 - 4*j**2 + 6*j + 1 wrt j.\nAnswer: -24*j**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2\/5 - 111*v\/5 + 114\/5 = 0.\nAnswer: -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + -20. Let r = g - -48. What is the remainder when 8 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 25 = 2*n + 27, 0 = w + n - 5. Let q(t) = -4*t + 7. What is q(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 + 9 + 12 + -3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in -0.5, 133135, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a**2*x**4 - 5*a**2*x + a**2 - x**4 + 38 wrt x.\nAnswer: 20*a**2*x**3 - 5*a**2 - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91.082 + -91. Round m to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/15)\/(1\/5). Let q(b) = -3*b + 13*b - 2 + v. Let i be 1\/4 - (-57)\/(-4). Let z(c) = -3*c. Determine i*z(y) - 4*q(y).\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50367, 100944, 151521, 202098?\nAnswer: 252675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 10.\nAnswer: -9, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -5. Suppose 3*s - v = 20. Let h(q) = q**2 + q - 4. Let b be h(2). Calculate the greatest common factor of b and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970983 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.85 + -0.35. Let q = -9.5000022 + w. What is q rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 3. Let m(k) be the first derivative of 8*k**3\/3 + k**2 - 2*k + 26. Let p be m(1). Calculate the greatest common factor of p and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 288. Calculate the remainder when 28 is divided by ((-1)\/2)\/((-9)\/f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13719 + 13719.0000011063. What is s rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588548874.\nAnswer: 2, 3, 17, 283, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059\/58 + -36 + (-300159)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3889, -7777, -11661, -15541, -19417, -23289?\n\"Answer: 2*u**2 - 3894*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1476, -2851, -4224, -5595, -6964, -8331, -9696?\n\"Answer: j**2 - 1378*j - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzgzxgzozzzgog. Give prob of sequence og.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.11 + -18.26. Let g = -14 - d. Let z = g + 0.45. What is the closest to -0.1 in -5, -1\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 + 136. Let n(l) = -15*l**3 + 2*l**2 - l - 15. What are the prime factors of n(p)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*r - 1. Suppose 2*x - 11 = q, -x - 2 + 4 = 3*q. Let b(d) = -2*d**3 - 2*d**2 - 3*d - 4. Let j(v) = -3 + 2*v - 3*v + 2. Determine q*b(w) + r*j(w).\nAnswer: 2*w**3 + 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10875.3, 3, -9\/2.\nAnswer: -10875.3, -9\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 2*z - 8. Give i(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*a + 9 + 79, 5*t - 226 = -a. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 12*w**2 + 9*w + 37. Let m be v(13). Does 12 divide (m\/(-30))\/(1\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 1050 - 1073 = -11*w, -5*w + 23 = -4*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (950\/(-16))\/((-357855)\/95428)?\nAnswer: 95\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1, 3, 6\/11, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 4:43 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 1. Let x(t) = 3*t**2 - 3*t + 13. Let a(c) = x(c) + 4*z(c). Let k be a(-4). Solve k*h + 25 = 0, 3*f + 4*h + 28 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49524589221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2640373.\nAnswer: 19, 138967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minus -4.6392?\nAnswer: 95.6392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-10)*84968\/(-52288).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4194464 + -0.054.\nAnswer: 2.3654464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23640, -23637, -23634, -23631?\nAnswer: -23628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = -96*b + 6292. Solve -b*o = -50*o - 10, 5*p + 2*o = -10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5331, -21333, -48003, -85341?\n\"Answer: -5334*s**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20023 + 20018. Which is the closest to -237? (a) t (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 3*u + 4. Suppose -4*r + 2 = 10. Let q be a(r). Suppose -q*y - 3*x + 117 = -y, 0 = -4*x - 4. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + -12. Suppose -42 = 4*k - 210. Let d = k + s. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 7860*g**2 + 5148300*g + 1124045500.\nAnswer: 4*(g + 655)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355 + 1358 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 + 3. Let w(o) = 52*o**2 + 63*o**2 + 56*o**2 - 165*o**2. Determine x(w(s)).\nAnswer: 180*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {l: 1, t: 1, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**3\/6 + 11*k**2\/2 + 2*k. Let l be a(-6). Suppose l*r = -0*r + 35. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1626100 (base 8) to base 7.\nAnswer: -3665332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -600241900 rounded to the nearest 1000000?\nAnswer: -600000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.288198 and 0.4.\nAnswer: 0.1152792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 1, z: 2, o: 1, y: 2}. Give prob of picking 1 o, 1 n, and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - q - 5. Let p(r) = -r**2 - r - 1. Give c(t) + 2*p(t).\nAnswer: -t**2 - 3*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1654, 3330, 5028, 6748, 8490, 10254, 12040?\n\"Answer: 11*f**2 + 1643*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffqfqqf. What is prob of sequence qqf?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(45) + -2 + 2 - (-1*(sqrt(605) - sqrt(605)*2) + sqrt(605))).\nAnswer: 95*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 1634, 2621, 3502, 4247?\nAnswer: 4826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50686 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b. Let f(n) = -95940*n**2 - 5. Give f(l(u)).\nAnswer: -1535040*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/9 and -13\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(-2*sqrt(110) + sqrt(110)) - sqrt(110) - sqrt(110))*-4)\/((4*sqrt(20))\/sqrt(2) + sqrt(160)*1).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((-1062)\/944)*2\/(-68)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 96 = 4*x. Suppose 13*a + 30 = x*a. Let l be 2\/a - (8\/(-10) - -1). Solve -2*c - 5 = 5, -2*m + 4*c + 12 = l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 + 80*k - 256 = 0. What is k?\nAnswer: 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 691, 3206, 7377, 13204?\n\"Answer: 828*z**2 + 31*z - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -381*h - 3348. What is n(-8)?\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 4*j**2 + 3*j - 2. Let w be s(2). Suppose 0 = 32*r + 55 + 41. Put -1, w, r in decreasing order.\nAnswer: w, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.61 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 362c?\nAnswer: -3632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 573*b**4 - 355*b**4 - 412*b**4 + (5*b**3 + 2*b**3 - 8*b**3)*(0*b - b + 3*b).\nAnswer: -196*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1709 + 1623. Which is smaller: c or -81?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 10*j - 4. Let l be c(4). Let q be (l\/40)\/(2\/4). Let n be (3 - q) + (2 - -12). Solve 5*x = 3*f - n, 2*f + x = -2*f - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*p + 5492476 - 5482167 = 0 for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44 and -852?\nAnswer: -37488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 6, t: 7}. Give prob of picking 4 r.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfffvmxwvwvv. Give prob of sequence wwx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/4 or 14?\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15754072 a multiple of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(17) - (sqrt(17) + 2)) - sqrt(17))**2 + (sqrt(17) - (-3*sqrt(2057) - sqrt(2057))).\nAnswer: 42 + 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from zhkpukgg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11492 - -17872. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*1)*4*-3 + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7976427 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142157\/27225 - -2\/3025. Find the common denominator of 1*(50 - 0) - 0 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114346640 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 454 - 392. Sort -5, j, -3, -4 in increasing order.\nAnswer: -5, -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 1 - 1)*(-1 - 1 + 0) + (-1308*n + 1310*n - 15 - 32)*(-4 - 3 + 0) as p + b*n and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -38*n + 532. Give h(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23745 and -15097?\nAnswer: 358478265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -2*s + 5*g - 9, -3*g - 18 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 3*r - 2*z - 434, 4*r = z + 366. Solve r*q - 89*q = 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkmi when four letters picked without replacement from {f: 2, m: 1, k: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgg when three letters picked without replacement from ngafgaalaffaafglg.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 4*g - 90. What is q(9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, -19309, -126, -5 in descending order.\nAnswer: 10, -1, -5, -126, -19309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**4 - 125*u**3 + 820*u**2 - 700*u = 0.\nAnswer: 0, 1, 10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 5*o + 22. Let g be q(6). Suppose -5*h + g + 1989 = 0. List the prime factors of h.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g - 104 + 3*g + 4*g**2 + 8*g.\nAnswer: 4*g**2 - 4*g - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 33 + 9. Let s be (-13 - -16)\/(f\/(-14)). Let g(m) = 59*m + 6. Is g(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -149356625673983 and -6?\nAnswer: 149356625673977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1761069446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7735 and -0.2.\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.13 + 1.19. Which is the second biggest value? (a) -4\/7 (b) n (c) -2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 893 and 33364.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 183368291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -237, -255, -273, -291?\n\"Answer: -18*h - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331717, 663437, 995157, 1326877?\nAnswer: 1658597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23933029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r = 30*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 1. Let u(r) = 3*r - 7. Calculate -5*a(z) - u(z).\nAnswer: 2*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.68 + 3.68. Let z(o) = o + 3. Let w be z(-3). Let v be w*(0 + 1 + 0). Which is the second smallest value? (a) g (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15.7 and -25?\nAnswer: 40.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2. Let a(k) = -2*k**2 + 2*k - 1. Let u(b) = -2*b**2 + 14*b - 3. Let x be u(7). Let n be 4 - (-3)\/x - 0. Give n*v(c) + a(c).\nAnswer: c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c - 28*c + 16*c**2 - 2*c**3 + 12 - 7 + 12. Let k be p(7). Solve -4*f - 5*t + 27 = 0, 5 = k*f - t - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 29*g - 18.\nAnswer: -(g + 9)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4072 divided by 8?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -20, -17?\n\"Answer: 3*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = -410 - 1371. Let u = 141 + c. Suppose -4*s = 4*d - 240, u*s - s = 9. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Let y = -440 + 444. Solve -m + y = c*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from affaaaafaffff. What is prob of picking 1 a and 3 f?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 171230133 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than 191\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3 - 7*y**2 - y - 4. Let n(v) = -v**3 - v**2 - 1. Calculate a(s) - 4*n(s).\nAnswer: -s**3 - 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 2075672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/24*-4)\/((-16)\/(-18) - (-15580)\/(-12546)).\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = 2*p - 4*a, -p + 23 = -4*a. Let i = p - 8. Solve -2*z + y + 4 = i, 12 = -2*z + 2*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -471308*o**2 - 402291 wrt o.\nAnswer: -942616*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/1 - (-13 + 7 + 6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j - 29. Let m(q) be the third derivative of 7*q**4\/24 + 5*q**3 + 2*q**2 + q + 36. What is -7*m(t) - 6*x(t)?\nAnswer: -t - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**1*m)\/m)*m*m**5)\/((m\/((m**(1\/3)*m*m*m)\/m))\/(m\/(m*m*m**(2\/13))))*(m**(-1))**(5\/16)\/(m**1*m*m*m**(2\/9)\/m) assuming m is positive.\nAnswer: m**(6823\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*t**2 - 1\/4 + 1\/4*t - 1\/4*t**3.\nAnswer: -(t - 1)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/30796 or 0?\nAnswer: -3\/30796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 4) + 70 + -103?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 4*p**2 - 4*p - 4. Let k be j(-2). Is 11 a factor of (-6276)\/(-8) - (1 + (-2)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3311150480 divided by 5\nAnswer: 662230096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 2098*s**2 + 551248*s + 549152.\nAnswer: 2*(s + 1)*(s + 524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Suppose 0*h + 11 = x*h - q, 5*q = 4*h - 25. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(1216) + -3 - (5 + 1*sqrt(1216) + 4))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101001 - 1?\nAnswer: 1010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 10. Let p(v) = -2 + z*v + 1 - 4*v. Let w(y) = -4*y - 2. Determine 2*p(t) - w(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 36*z + 103. Let s be (-2398)\/66 - 4\/6. Calculate the remainder when o(s) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m - m)*((-16*m - 67 + 67)*(2 + 5 - 5) + (m - 3*m + 0*m)*(-2 + 3 + 0))*(6 - 4 + 4).\nAnswer: 204*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12345773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-49 - (3 - 5))*-5. Let n = -71 + y. Suppose -4*z + n = -5*l, -4*z + 100 = 3*l - 32. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/384 and 71\/16139296.\nAnswer: 193671552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, w: 1, r: 4, h: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02327719 to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 10 + 35)*(y + 2*y - 2*y).\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*q + 14. Let c = q - 9. Suppose 12 = 5*b - v, 15 = 5*v - 0*v. Calculate the remainder when c is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897 is divided by ((-19)\/9)\/((-92)\/828).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8*0.31.\nAnswer: -1.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10940*i**5 - 86*i**3 + 31401615*i**2 wrt i.\nAnswer: 656400*i**2 - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 8*p**2 - 5*p - 41. Let l be q(9). Which is the biggest value? (a) 2\/5 (b) -2\/29 (c) -0.1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uef when three letters picked without replacement from ffffefffu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 + 7.15. Let g = i + -10. Which is the nearest to g? (a) -1 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -155 - (76 - 99 - 107).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 4:49 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 228\/190*5\/(-9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -3\/58, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 266, -0.5, -2\/13, -1\/6, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, o: 7}. Give prob of sequence oooh.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71 - 4?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -35*m - 173. Is x(-40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10 = 2*u, 3*x - 6 = u + x. Put 7, u, -4, -1 in increasing order.\nAnswer: -4, u, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 18 = -2. Let k = -18 + r. Solve -4*p + k = -18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44979.22ns in seconds?\nAnswer: 0.00004497922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/1804317 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -3*w + n + 71, -w = 2*n - 10. Put w, 4, -3, 5 in descending order.\nAnswer: 5, 4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (146 - 106)*((-388)\/(-5) - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10794894 and 45.\nAnswer: 161923410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (3 - 0))*-4. Find the common denominator of (10 - 13) + 75\/n and -25\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1805 and -105\/2888.\nAnswer: 14440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -6 + 6 - -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 7. Let p = 11.03 - x. Let l = -0.53 + p. Which is the third biggest value? (a) l (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 347.6019l?\nAnswer: 347601.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(66)*1)\/sqrt(6) - (1 + (sqrt(4400) + 0)**2).\nAnswer: -4401 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27485744 to the power of 1\/2, to the nearest integer?\nAnswer: 5243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*g + 0 - 2\/9*g**3 - 2\/9*g**4 + 10\/9*g**2.\nAnswer: -2*g*(g - 1)**2*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738.03555 microseconds to weeks.\nAnswer: 0.000000001220296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -17, -138, -401, -860, -1569, -2582, -3953?\nAnswer: -5736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22478\/7 or -3210?\nAnswer: -3210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(5) + 6*(sqrt(5) - (-1 + sqrt(5)))) + 2*sqrt(180) + 3)**2.\nAnswer: 1122*sqrt(5) + 2534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - u**3 - 5*u**3 + (-2*u**2 - u + u)*(0*u + 0*u + u + (3*u + 2*u - 3*u)*(-3 + 3 - 1)) in the form d*u**3 + s + o*u**2 + m*u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-12)*(15 - 21). Let w(l) be the first derivative of -l**4\/4 - 2*l**3 - 3*l**2 + 15*l - 1. List the prime factors of w(p).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 2:39 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -23*u**2 - 3*u - 8. Let z be y(-4). Let j = z + -29. Let c = -171 - j. What are the prime factors of c?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2969 + 17813\/6. What is the second smallest value in 5, -1, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2240*b**3*g**2 - 33*b**2*g + 10*b**2 + 5*g**2 wrt b?\nAnswer: -13440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c - 148. Give h(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-6 + 7)*(2 + 1). Suppose -10*w - 144 = -v*m - 12*w, -4*w - 62 = -m. What is the remainder when 249 is divided by m?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2355464?\nAnswer: 2, 79, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001256 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9699905857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80528458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 14*d**2 - 13*d. Calculate f(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2407 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002071556 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13216488.\nAnswer: 2, 3, 379, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236455 is divided by 14771.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.544 less than 0.01810991?\nAnswer: 1.56210991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 49, -1, 5, 1, -5, 1149 in descending order.\nAnswer: 1149, 49, 5, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is bd37d9 (base 14) in base 12?\nAnswer: 219a3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ossxxhhoxcxozoc. What is prob of picking 2 s and 1 h?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2444*n - 12109*n - 458*n in the form i*n + q and give i.\nAnswer: -10123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.683264 rounded to zero decimal places?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*i + 2, 4*i = -2*t - 2. Let b(f) = f**2 - 2*f - f + t*f. Let o(v) = v**2 + 2*v**2 - 4*v**2. Give b(o(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.05 (c) 0 (d) 1 (e) 2 (f) -2150 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*g + 401886 + 828684. What are the prime factors of g?\nAnswer: 2, 3, 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -775*d - 537. List the prime factors of s(-7).\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63702752 and 622.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4*(12\/(-16))\/(765\/272)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0. Let t = -6 - -2. Let f = 3.8 + t. Do b and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -119, -114, -109, -104, -99?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -951 divided by 6?\nAnswer: -317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 - 2. Suppose 3*s = -3*k + p, 160 = 2*k + 2*k - 5*s. Suppose 5*m = k + 5. Calculate the smallest common multiple of m and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1477 or -4432\/3?\nAnswer: -4432\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*k**3 + 233 - 236 + 2*k**2 - k**2 to the form j*k**2 + g*k + c*k**3 + f and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3872 - -4464.7. Let g = 569 - i. Round g to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9085083 millilitres in litres?\nAnswer: 0.0009085083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 9. Let o = c + -1. Solve o = -n + 4*a, -3*n + a - 15 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i**(-16)*(i*i**(7\/6)*i)\/(i**22*i))**(-43) assuming i is positive.\nAnswer: i**(10277\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let q = 14769 + -14768.00008. Let a = l + q. What is a rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -262, -351, -428, -493, -546, -587?\n\"Answer: 6*r**2 - 107*r - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9335 is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83320*d**3*f*o - 33*d**3*o - 1281*d**3 + d**2*f*o - d*o wrt f?\nAnswer: 83320*d**3*o + d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/5 + 110928*n**2\/5 - 205039308*n - 820512240.\nAnswer: -3*(n - 18490)**2*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3633.94 - -3634. Which is the closest to n? (a) -2 (b) 84 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**3 + 204*v**2 + 4401*v + 20898 = 0.\nAnswer: -9, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 29*m**3 - m**2 + m + 1. Let a be l(-1). Let q = 98 + a. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.16384 centuries in months?\nAnswer: 67396.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, 1.6, 4 in decreasing order.\nAnswer: 4, 2, 1.6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17430, -34860, -52288, -69714?\n\"Answer: o**2 - 17433*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103170*o**5*u + 15*o**3*t**2 + 95*o**2*t + 317*o**2 - 2*o*t**2*u + 2*o*t*u - 2*o*t - 3*t*u wrt o?\nAnswer: -6190200*o**2*u + 90*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 2*y)*(-6*y + 2*y + y)*(1 + 3 - 6) + y**2 + 9*y**2 + y**2 + y**2 + y**2 - 3*y**2 + (4*y - 3*y - 2*y)*(-y + 3*y - y) + 2 - 2*y**2 - 2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4 - ((-81)\/(-10) + -7))\/((-69)\/14145)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158773.98 to the nearest 100.\nAnswer: 158800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 168 - 3408?\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17\/(238\/4))\/(771\/(-7)). Let n = x + 781\/3855. What is u in 0*u + 3\/5*u**2 + 0 + n*u**3 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -36*m + 5. Let r(z) = 7*z - 1. Let v(n) = -22*r(n) - 4*x(n). Let l(a) = a. Let b = 48448 + -48447. Calculate b*v(q) + 12*l(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*-1)**2 - (sqrt(2) + -5 + sqrt(2) + -2*sqrt(2))) + 5*sqrt(6)\/(sqrt(6)\/sqrt(2)).\nAnswer: 5*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**7\/210 - 7*t**6\/120 - 11*t**4\/24 - 2495*t**3\/3 + 6422*t**2. What is the first derivative of g(f) wrt f?\nAnswer: 4*f**3 - 21*f**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(350\/49 + -7). Let u be 1 + (-12)\/(-15) + -1. Which is the second smallest value? (a) x (b) u (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*o**4 - 1 - 10*o**3 + 11*o**3 + 3*o**4 - o to the form g*o**3 + s*o + v + i*o**4 + u*o**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19215, 38504, 57793, 77082, 96371, 115660?\n\"Answer: 19289*m - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -1*sqrt(78))*-4 + sqrt(78))\/(sqrt(96)*-2) + sqrt(104)\/(1*sqrt(2)) + 1.\nAnswer: 1 + 23*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -106996, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14721955, 29443908, 44165861?\nAnswer: 58887814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.15 and -3377209798?\nAnswer: 3377209797.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 192 = 8. Suppose -9*r + 76 = x*r. What is the remainder when 5 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 25*q - 19. Give v(7).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 50 = 16*q. Let f(c) = -c**3 + 10*c**2 + 12*c + 8. Let d be f(11). Solve -20 = -u - q*l, -u = 4*u - 2*l - d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.175031t in milligrams?\nAnswer: 6175031000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**6\/45 + 3*t**5\/20 + t**4\/6 + t**3\/6 - t**2. Let m(b) be the first derivative of o(b). Let m(j) = 0. Calculate j.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 + -213. Let s = -5 - 12. Let n = c + s. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 18*a**2 - 37*a - 3. What is n(-20)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2844*i - 22653. Determine r(-8).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 4*q**2 + 21 - 100 - 18 + 4*q**3.\nAnswer: 4*q**3 + 3*q**2 - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 37*p**4\/12 - 3*p**3\/2 - p**2. Is k(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 197*k**3 + 4 + 2*k**2 - 34*k**3 as t*k**2 + l*k**3 + u + q*k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 29633678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 773 + -481. Let b be 2 + (-4378)\/4 + (-4)\/(-8). Let f = o + b. What is f rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15572 and 1901756?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**8\/840 - m**7\/105 + m**6\/150 + 7*m**5\/75 - m**4\/20 - 3*m**3\/5 + 2*m**2. Determine g so that t(g) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01406167 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 0*i**3 - 5\/21*i**7 + 0*i**5 + 1\/12*i**4 + 0*i**2 + 0 + 0*i**6 + 8*i. Find the third derivative of j(t) wrt t.\nAnswer: -600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -565 - 491. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*b - 208*b + 37030 = 0. Is b a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17527*v**3 + 17527*v**3 + 767*v**4 + 4582*v - 71*v**4 wrt v?\nAnswer: 8352*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1806 in 3, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -23 + 21. Let d(s) = -7*s + 2. Give d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 16900469.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644243 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: Calculate the common denominator of 83\/4 and (42 - 40)\/(3\/(129\/20)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-30)*((-55)\/(-15) + -2)*(-16 + -2).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -8. Let h(w) = -98*w + 3922. Let s be h(40). Is s less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -14. Suppose 0 = i*a - 1917 - 5008. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 18 = -f - 4*p, 2*f + 16 = 4*p. Let m = -32 - -28. Sort m, 13, f.\nAnswer: m, f, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11727903.\nAnswer: 3, 11, 277, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1287*q + 15445. What is t(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-6 - -3) + (-15 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39745, -7, -3, 10, -4.\nAnswer: -39745, -7, -4, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 5) to base 10\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 380620 by 5.\nAnswer: 76124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -88*y - 1675. Let n be t(-19). Sort 3, n, -5, 1, -27.\nAnswer: -27, -5, n, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 366903.29 + -365181.1873. Let x = 1722 - v. What is x rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 - 2*w**2 + 2*w**2 - 2*w + (-2 + w**3 + 2)*(w - 82*w - 47*w) in the form d + g*w**4 + m*w**3 + n*w**2 + c*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23388*l - 2 = -23390*l. Do 2\/28873 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c8a (base 16) in base 10?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120255 (base 9) to base 16.\nAnswer: -11abf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a**2 - 5*a**2 + 5*a**2)*(-1 + 1 - 7)*(2 + 2 - 5) to p + b*a + u*a**2 and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4762, -19017, -42772, -76027, -118782, -171037, -232792?\nAnswer: -304047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -1 (c) -108 (d) -0.5 (e) -0.57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -50, -125, -230, -365, -530?\n\"Answer: -15*l**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 73481119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 h when four letters picked without replacement from ohhhohhhh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**10)**45*(q\/(q**15*q))**4)**(-27) assuming q is positive.\nAnswer: q**(-10530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3710 + 1059 + 524 = -67*u for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 431943 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002257852 to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2048, -1, -28, 95 in ascending order.\nAnswer: -28, -1, 95, 2048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = -28. Suppose 3*t + 6 = 0, i*q - 4*t - 108 = 2*q. What is the least common multiple of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:57 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 14*g + 38. Let r(k) = -12*k - 37. Determine 3*i(b) + 4*r(b).\nAnswer: -6*b - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 55190 times -27\nAnswer: -1490130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 36 = -9*c + 22, 2*s + 5*c = -12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y - 236 = -2*l, -5*l = -3*y - 629. Suppose l + 41 = 11*g. Which is smaller: g or 65\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, 555, 3, -14, 51, -5 in descending order.\nAnswer: 555, 51, 12, 3, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1.69?\nAnswer: 5.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68384 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 17*n**2. Let z(u) = 1 + 8*u - 1. Let p(x) = -x**3 - 15*x**2 - 24*x + 20. Let c be p(-13). Let b(h) = -7*h. Let v(a) = c*b(a) - 5*z(a). Give t(v(q)).\nAnswer: 68*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1906\/23 - 9564\/115. Find the common denominator of 5\/11 and k.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2552+0\nAnswer: -2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 25*x - 563 = 0. Let b = x - -861. Is (0 - b)*(-3)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*l + 36, -4*l + 22 + 5 = -g. Solve -6 = 2*b, 5*o - l - 1 = b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.12 - -5.62. Put -0.2, -4, u in ascending order.\nAnswer: -4, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 33*f - 58. What is the remainder when c(13) is divided by (-51*6\/9)\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s**2 - 6*s - 17. Let j(r) = 5*r**2 - 5*r - 16. Let y(m) = 5*j(m) - 4*u(m). What is the remainder when 52 is divided by y(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-26)\/a**(-16\/7) assuming a is positive.\nAnswer: a**(-166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c19 (base 14) to base 12.\nAnswer: -617b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2947*y**5 - 2797*y**5 + y + 27223*y**2 - 3547*y**5 + 1028*y**5 - 34927*y**2 wrt y?\nAnswer: -495780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3004 (base 6) in base 2?\nAnswer: -1010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 10. Let d be l(5). Let b be (d + 0)*(-7)\/(-14). Let n(v) = v - 12. What is n(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -4)*(7 + (-1598)\/216) - (-27 + 23)?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000011 (base 3) in base 5?\nAnswer: -21322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37079943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 1386 = -2686 + 742. What is the remainder when t is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12 - 15)*(1 + 4\/(-6)). Which is greater: q or -1\/126?\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -911 * -143.\nAnswer: 130273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 27*t + 57. What is c(-28)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 100 - -274?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2351312.\nAnswer: 5\/2351312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-324)*117*((-12512)\/52)\/(-23)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2*6\/39. Let u = 0.8 - 0.8. What is the fourth biggest value in 0.3, u, -1\/5, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 2)\/6 - (4 + -8). Sort 0, -5, m, 70.\nAnswer: -5, 0, m, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 3*u - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -361 - -403. Let x(m) = -4*m + 3 - 4 + 5. Let t be x(-6). What is the highest common factor of w and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10545914 and 230.\nAnswer: 52729570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -487 (b) -0.2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16724 - 49420\/3. Let k = c - 2188\/9. Calculate the common denominator of 2432\/660 - (0 + (-2)\/11) and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 5*j**2 + 6*j - 1. Let w = -18579\/3464 + -5\/433. Find the common denominator of a(4) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 5*t + 1 + (4 - 1 - 4)*(3*t - 3*t - 4*t) - 2*t - 2*t + 2*t + 1 - 1 + 2*t + 2 - 2 + 3*t + (2 - 2*t - 2)*(0 + 1 + 0) - t + 4*t + t + 2*t - 9*t - 5*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 31 = -5*m + t + 19, 3*m - 111 = -15*t for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + a - 528 = 0, -2*g - 7*a - 359 = -10*a. Let x = 149 + g. Which is bigger: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:47 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30713.94603 rounded to the nearest integer?\nAnswer: 30714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**3 + 14317*l**2 - 14315*l**2 - 2 - 10*l**3 + 15*l**4 + 9*l in the form q + b*l + h*l**2 + o*l**4 + t*l**3 and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*l - 1628*l + 26478 + 16616 = 0 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((43 - 9) + -1)*(-1)\/(-3). Solve -5*t - 2*p + 35 = -6*p, 3*t = -4*p - y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209578 - 209580. Let s = 2.06 + -0.06. Let k = s + 0. Sort l, k, 3, -0.04.\nAnswer: l, -0.04, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/72*420363 - (-3)\/12*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/2*58\/116.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.02891486 - -0.02892286. Let p = -40 + 14. Let d = t - p. What is d rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 4) to base 12\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 3*w - 4. Let z be b(3). Let q(s) = s**2 - 6*s + 7. Let t be q(z). Suppose c - 7 = -4*a, -3*c + 2*c = t*a - 9. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 876 and 8979?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(5*3\/75).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7164 - -7158. Let v be 1\/(-5)*(41 - 9). Is v not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeu when three letters picked without replacement from {z: 2, s: 3, e: 4, j: 2, u: 6}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 11*b - 129. Determine n(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463357089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1741*m**3 - 1699*m**2 - 2*m + 2. Let i(g) = -2*g**3 - 2*g**2 - g + 1. Let y(u) = 2*i(u) - r(u). Find the third derivative of y(t) wrt t.\nAnswer: 10422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 56342.66 micrograms?\nAnswer: 56342660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -o - 2*a, -3*o - a + 142 = -0*a. Suppose o*u - 16*u - 36301 = 0. What are the prime factors of u?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19490 divided by -5?\nAnswer: -3898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.5, 2, 23, 0.21, 62?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*h = -1519 - 191 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (3 + (-20)\/8))*2. Suppose -6*b = -b - 3*b. Solve b = -4*h + j - i, 2 = -5*j - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = -0*h - 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28\/23 or -2?\nAnswer: -28\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2019813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z. Let q be 1\/4*(4 - 8). Let v(g) = 5*g**3 - g**2 - 3*g. Let c(o) = q*v(o) - 4*a(o). Is c(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2849 (base 13) to base 12\nAnswer: -343b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmx when four letters picked without replacement from {k: 6, m: 5, w: 1, x: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 6. Let u be r(-5). Let h be 26\/22 + 2\/u. Find the first derivative of -1 + h + a - 1 wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-115)\/(-69)*2*5\/(-15)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 5*s. Let u = -138 - -138. Suppose 9*i - i - 248 = u. Suppose -4*a - i - 20 = 5*h, a - 17 = 3*h. What is x(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -892 - -901. Let s be (36 + -1)\/5 + -2. Solve m + s = r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 0.53?\nAnswer: 0.0265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 15. Let q be z(-6). Let u be -1 - (-4)\/(-28)*q. Let w = -1 + 4. Which is the closest to u? (a) -0.1 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from soosoovwolswoolsslo.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/28*38 + 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, -5, 774?\nAnswer: 774","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 36000 divided by 308\nAnswer: 9000\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*h = 1270220 + 567780. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = j + 48. Let m be (-147)\/(-28) - (-2)\/j. Solve 0*t + 20 = 3*t - m*u, t - 8 = 2*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3425779 and 27125?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 3273556.9.\nAnswer: 3273557.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**7\/350 - 7*s**6\/600 + s**5\/100 + s**4\/40 - s**3\/15 - 4*s**2. What is u in b(u) = 0?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 1. Let y(i) = -6*i + 11 - 1 - 5. Suppose -5*a + o - 47 = 0, -a - 3*o = -0*a + 19. What is a*w(k) - 2*y(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 52, 74, 108, 160, 236, 342?\n\"Answer: a**3 - 3*a**2 + 18*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 19. Let k be (-3 + q)*-1 - -3. Which is the biggest value? (a) -1 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -2. Let v = 9 + k. Let b(u) = -2*u**2 + 2*u. Let i be b(2). Let l(t) = t + 1. Let n(s) = s + 1. What is i*n(y) + v*l(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11751, 11759, 11769, 11781, 11795, 11811?\nAnswer: 11829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/3479907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/6*(-2 + 20)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 149568323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - 104. Which is the third smallest value? (a) m (b) -2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.9 - -16. Let j = 0.113 + 0.042. Let k = j - w. Round k to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = 11. Let x(p) be the third derivative of -p**5\/15 + 5*p**3\/6 + p**2. Let i(s) = 5*s**2 - 6. Calculate m*x(v) - 5*i(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 28*t**2 + 146*t - 145. Determine u(-10).\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 87 + 81*g - 80*g)*(-1 - 1 - 1) as o + n*g and give o.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Suppose -m + 2*d = 4, b = -3*d - 8 + 23. Suppose -m*u - 9 = -3*u. Is u greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2255623*f**3 + 3*f**2 + 42811*f + 14 wrt f.\nAnswer: 13533738*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.12 - 0.62. Let y = 3.58 + -0.08. Let r = y - n. Which is the nearest to r? (a) -4 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*88\/143)\/(8\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6)*-1689)\/(-1). List the prime factors of (-3)\/7 - (a\/7 - -2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 285 + -310. Let p(t) = t**2 + 30*t + 130. Let s be p(a). Let c(j) = 4*j - 8. Let b be c(6). Solve 5*g - 5*x - 25 = -0*x, -s*x = -2*g + b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1330 + -1300. Let m be 1 - -2*(-1)\/(-2). Let b be (0 + m)*(-62)\/(-4). Is b bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 times -112?\nAnswer: -75712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/4 + 1670*r**2 + 69719*r + 132760 = 0.\nAnswer: -6638, -40, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 + c + 3. Let n(b) = -b. Let g be n(-3). Calculate the smallest common multiple of (2 - (-8)\/(-40))\/(3\/10) and a(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from tirmo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*h + 17 - 5, 38*q + 62 + 91 = -h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3.1 (b) 5 (c) 0.2 (d) 4 (e) 3.485 (f) 1 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 318*r**4 + 4*r**2 - 6710*r wrt r.\nAnswer: 3816*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2878910*y**3 + 505715.\nAnswer: -8636730*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) - (-1617)\/441?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169942 - 92525. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -3*i**6\/10 + i**5\/2 + 32*i**2. Find the third derivative of w(q) wrt q.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**5 - 62*d**4 + 3*d**2 - 11304*d?\nAnswer: 80*d**3 - 744*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 t when three letters picked without replacement from {i: 2, d: 1, a: 7, o: 3, x: 1, t: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/930 and 25\/2.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (5 + 0 + sqrt(700) + sqrt(700)))**2 - (((sqrt(700) + -1 - sqrt(700)) + sqrt(700))*3 - sqrt(700))**2.\nAnswer: -2084 + 220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 9. Let p(x) = 5*x**2. Let v be p(-1). Suppose v*w = w + 20. Solve -2*k = w*r - 2, 0*r = -3*k - q*r - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 3. Let j be 2\/(-8) - (-2)\/g. Let n = 1.758 - -0.242. Which is the closest to n? (a) -0.4 (b) -1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/31 - 178\/465. Let v = 138.06 + -134. Let g = -4.26 + v. What is the closest to 1 in -1, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 0.1, 4\/9, 256\/3, -500?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3 + 6373079*d**2 + 60269*d + 14.\nAnswer: 12*d + 12746158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 109059669.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 1975 + 735. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1900)\/57)\/(((-16)\/40)\/(30\/(-50)))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 38. Put 5, -1\/4, y in decreasing order.\nAnswer: 5, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 93 + 59)*(42*w + 39*w - 12*w).\nAnswer: 7176*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 382785673\nAnswer: 2\/382785673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 80?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 17 (c) -2\/17 (d) -1\/3 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w - 1. Suppose o + 1 = -0. Let b be f(o). Suppose -l + 2*i + 24 = -60, 5*l - 394 = -3*i. What is the highest common divisor of l and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -24*(-5 + (-184)\/(-32)). Let a(d) = -381*d + 2 + 380*d - 16. Give a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191866.\nAnswer: 2, 23, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5678\/17)\/(-2 + -13 + 0). Let o = a + 65\/3. Let t = 0 - -5. What is the closest to 2 in o, -2, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.7, 768217, -2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 16 + 5 = 0. Suppose 5 = -2*l - 3, -77 = 5*j + p*l. Let b = j - -13. Sort -1, b, -2 in ascending order.\nAnswer: -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486.5195 centuries in decades?\nAnswer: 4865.195","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 56*b - 859. Calculate k(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 2. Suppose 0 = -k - 5. Let r(t) = -2*t - 2 + 10*t - 3*t - 3*t - t. What is k*y(s) - 4*r(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**5 - 3*f**5 - 3*f**5 + (f**4 + 4 - 4)*(-f + 0*f + 0*f) - 45 + 45 + 14*f**5 - 9*f**5 - f**5 + 27*f**5.\nAnswer: 28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 12*c - 2. Let n be d(-9). Let b be (397\/5 - 2) + (-57)\/(-95). What is the greatest common divisor of b and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 10*b**2 + 9*b + 19. Let r = 821 - 830. Give x(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6 + 2*q**2 - q**2 - 2*q**2 - 2 - 6*q + 4. Let n be 3*(-2)\/6*5. Give d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 5*w**6\/6 - 7*w**5\/2 - 15*w**4\/8 + 125*w**3\/6 - 115*w**2\/4 + 15*w - 15. Solve c(s) = 0 for s.\nAnswer: -2, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzv when three letters picked without replacement from vttztzvvztvxvzvvzvsz.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - 14*m - 23. What is r(-6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2\/11 + 60068016*v\/11 + 180204066\/11 = 0.\nAnswer: -3, 30034011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -7 - (-155 - (5 - -2)) is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663280087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/30 + 5*r**4\/24 + 7*r**3\/3 - 6*r**2. Let a be t(-6). Factor 18 + 2*l**5 + 8*l**4 + a*l + 8*l**4 + 50*l**3 + 76*l**2 - 2.\nAnswer: 2*(l + 1)**2*(l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10050234605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -408\/73 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*f + 3 = -1, -a - 4*f = 14. Let i be 6\/(-3) + 0\/a. What are the prime factors of -1*(3 + 5*i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7943.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d. Suppose -4*k = -3*v - 10, 3*k - 6 = -v + 2*k. Let n(a) = 13*a**2 + 7. Let l(b) = 4*b**2 + 2. Let f(s) = v*n(s) - 7*l(s). Determine f(u(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -230*d**3 - 4*d**2 + 8*d - 4458. Let l(g) = 459*g**3 + 7*g**2 - 14*g + 8914. Let t(h) = -4*l(h) - 7*w(h). What is the derivative of t(f) wrt f?\nAnswer: -678*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057921 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109690, 218999, 328308, 437617, 546926, 656235?\nAnswer: 765544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 10. Let y be j(-9). Let h be ((-1)\/y)\/(1\/4). Suppose -h*f = 2*q - 166, -3*f + 8*q - 5*q = -111. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m**2 + 2*m + 12. Let y(h) = -210*h**2 - 33*h - 198. Let c(k) = 33*j(k) + 2*y(k). Let w(g) = -25*g**2 - 2*g. Give c(w(u)).\nAnswer: 5625*u**4 + 900*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 37*c**2. Let u(d) = 8*d. Let y(v) = 22*v. Let p(k) = -8*u(k) + 3*y(k). What is p(i(z))?\nAnswer: 74*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, l: 2, h: 1, w: 2, u: 1}. What is prob of picking 1 l and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 1. Let a(y) = 5*y**2 - 9*y + 14. Let d be 2\/8 - 9\/(-12). Let m(s) = d*a(s) - 4*h(s). Determine m(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.52 - 16.3951. Let b = 0.1249583 - m. What is b rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29873 and 12?\nAnswer: 358476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19297\/18 - 1076. Let d = 41931\/8 + -5248. Calculate the common denominator of w and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/5 and 37\/525?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = 3*n - 78. Find the common denominator of n\/(-132) + 5\/(-20) and ((-485)\/12)\/(-5)*1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10987\/70 - 1098\/7. What is the closest to w in 1\/5, 0.5, 1.7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 7*q - 460. Let m = q + 53. Let l = -1 - m. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12867a6 + -79?\nAnswer: -1286874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693 = 4*o + 431. Let c = 498 + o. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 534\/241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24100406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-266)\/28) - 546\/(-270)*-1.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + b + 2)*(b - 2*b - b) + 2*b**2 - 2*b**2 - 4*b**2 + (b - 2*b + 0*b)*(0 + 2*b + 0) + (2*b - b + 0*b)*(0 + 0 + b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.7 - 31. Let y = -1.7000017 + g. What is y rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 1)*3\/6. Suppose -d*g + 6 = -4*u, -g - u + 7 - 5 = 0. What is the second derivative of -14*v + 6*v**g - 10*v**2 + 3*v**2 + 55*v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*m = 730*m + 488 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 551, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:00 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(19\/2))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 12. Let d be i(-9). Let b(t) = -t**3 + 3*t**2 - 3*t + 3. Let k be b(d). Let m = 10 + k. Solve -2*z - z + 3*v + 24 = 0, 5*v + 4 = -m*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (-5 + (14 + 1 - (-289 + 290))).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2614\/5, -4, -0.05, -5, -45?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17.931km?\nAnswer: 17931000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - -4 - (-326 - 3).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.054 and -677.\nAnswer: 36.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-765)*-289*(450\/144)\/(5\/12).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 81, 167, 283, 429, 605?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytoyodtdo. What is prob of sequence yo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 204420 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 11:47 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -13. Suppose -4*b + 0*b + q + 178 = 0, -2*b - 4*q = -98. Let o = c + b. Solve -5*y - 1 = -4*y + n, -o*n + 1 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450 - 1438 - 1432 - i + 4320.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 65*p**2 - p - 71. Give a(-65).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -7875.\nAnswer: 7875.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 5*x**3 - 3*x + (4 + 0 - 2)*(-16*x + 46*x + 29*x)*(2*x + 12*x - 25*x)*(x - 4*x + x) as i*x**2 + r + m*x + j*x**3 and give j.\nAnswer: 2591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = -w, -5*w = -6*s + 2*s + 34. Suppose o + 941 = s*o + 2*z, 0 = -5*o - z + 938. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (2 + 14 + 33).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*s + 21 = 0, 2*g - 4*s = -0*s - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssrsr. Give prob of picking 3 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168077075 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 0, -1, 4, -595 in decreasing order.\nAnswer: 4, 3, 0, -1, -12, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3170819?\nAnswer: 277, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -108, -67, -6, 81, 200?\n\"Answer: n**3 + 4*n**2 + 22*n - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 111 = 3*k. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 39. Is (-2 - (-1 + r)) + 21*39 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*p - 544 = -147, 1226 = -3*z - 2*p. Let g = -201 - z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6205\/5929 or 0?\nAnswer: 6205\/5929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*m = -74*m + 246 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78145*x**2 + 37825*x**2 + 40318*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llcllhlllhchhh. What is prob of picking 4 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Let c = o - 3. Let b = c - 1.1. What is the closest to b in -2, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12387*v + 1102449. Calculate i(-89).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-90) - 4\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -10. Suppose -3*v + 7 = -5*o - 2*v, 2*o - 3*v = -8. What is the second smallest value in o, p, -10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 - 2*d**4 - d**3 + 2*d**2.\nAnswer: d**2*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*c + 105 = -40, -5*c = 0. Let u = -7 - -9. Suppose 5 = u*r - 11. Calculate the remainder when f is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:54 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 430322022 (base 5) to base 10\nAnswer: 1807762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 8 + -7 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-248)\/(-396) - 12\/27\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j - 2*j + j + 3*j - 3*j + j - j - j + (-5 + 0 + 3)*(4*j - 5*j + 3*j))*(-4*j**2 - 2*j**2 + 5*j**2).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:00 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/3 + 37*p. Let s(n) = -12*n**2. What is s(z(a))?\nAnswer: -192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + y - 7. Let o be w(-7). Suppose 3*a + 5*c - o = 339, -4*a = -5*c - 564. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5948980.74 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 17816*v**2 - 177716*v - 195536.\nAnswer: -4*(v - 4444)*(v - 11)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*n**4 - 2092\/7*n**3 - 274572\/7*n**2 - 272484\/7*n.\nAnswer: -4*n*(n + 1)*(n + 261)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -20. Suppose -2*g + 7*g + 4*p + 140 = 0, -g - 28 = -2*p. Let o = z - g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 4*z**3 - 3*z)*(4*z + 2*z - 4*z) + (-4*z**3 + 0*z**3 - z**3)*(z + 0*z + 0*z) to the form r + n*z**3 + v*z**2 + q*z**4 + g*z and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 22*o**2 - 767*o - o**3 + 764*o - o**4 - 15)*(8 - 2 - 5) in the form z*o**4 + i*o**3 + x + t*o + m*o**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 1. Let z(n) = 14*n + 122. Let s be z(-9). Let v(w) = -6*w - 4 - 4*w - 2*w**2 + w. Let f be v(s). Calculate i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2995, -11852, -26613, -47278, -73847?\n\"Answer: -2952*y**2 - y - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 2, u: 3, s: 4, j: 4, t: 3}. Give prob of sequence hou.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 22. Let t(y) = -2*y**2. What is n(t(a))?\nAnswer: 8*a**4 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 2*y = 8*y - 6563248. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 798 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 11. Let t be s(3). Sort 4, 2, t, -32 in descending order.\nAnswer: 4, 2, t, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and -3071898 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -402\/5*i**2 + 81 - 408\/5*i - 3\/5*i**4 + 408\/5*i**3 = 0. Calculate i.\nAnswer: -1, 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 0.177104586 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*m - 48 = 0, 40 = 4*g - 2*m + 2. Suppose -3*h = -l - l + 84, -3*l + h = -133. Let p = -16 + l. Calculate the remainder when p is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23085504 and 576?\nAnswer: 23085504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + l - 1, -947*t + 2*l = -942*t + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -1013*y**5\/5 + 118*y**3\/3 + 7*y + 1341. What is the third derivative of r(s) wrt s?\nAnswer: -24312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-6))\/((-1)\/3778 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -10*k + 14*k. Suppose k*y + 5*t + 2 = 1, t = -2*y - 21. Let s = 26 + y. What is the greatest common factor of 52 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26155201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 191*q - 77. Let p(m) = 96*m - 39. Let x(h) = 3*g(h) - 5*p(h). Differentiate x(i) with respect to i.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -517, -388, -219, -16, 215, 468, 737, 1016?\n\"Answer: -i**3 + 26*i**2 + 58*i - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 51, 60, 73, 90, 111?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, s: 3, g: 2}. What is prob of sequence gg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0)\/((-7)\/77). Let h = -9 + f. Suppose 2\/9*c**h + 2\/9 - 4\/9*c = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*y - 11*y - 11 + 11 + 7*y - 51*y**3 in the form r*y**3 + p*y + j*y**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -19 + (21 - -19) + (-4 - -1) - 75.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82197.96 milligrams in micrograms?\nAnswer: 82197960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446 - 8*x**2 - 3*x**2 + 9*x**2 + 446.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -6 (c) 729 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6 - (-205)\/(-246).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (348\/464)\/((-27)\/8). Which is the nearest to -0.06? (a) -3 (b) 2\/5 (c) 1\/9 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 9) in base 13?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0 - 6 + 2*g + 70*g. Suppose 0 = -3*w - 162 + 159, 0 = -3*i + w + 25. Let x be f(i). What is x rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1277420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4 + 464193*h**3 - 390*h - 226 wrt h.\nAnswer: 24*h**2 + 2785158*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 36693*x - 73398. Determine k(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = 0. Suppose 4*z - 3*a = i, -2*z + 3*z - 4*a = -13. Factor -7 + y**z + 7 + 4*y - 8*y**2 + 3*y**3.\nAnswer: 4*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2\/13 + 56*f\/13 - 120\/13 = 0.\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -21*i**2. Let f(k) = -55910*k. Determine f(r(y)).\nAnswer: 1174110*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94.2 - 94.1999558. Round k to six decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/9*24\/(-42)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 20. Let j be 4 - (0\/(-3) + 0). Suppose j*h - 13*h = -180. Solve -2*t = g + v, 7*t - 3*t + h = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 2:50 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -3. Let k be (d\/11)\/(24\/16). What is the closest to 2\/5 in k, -1, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-1 - 1)\/20. Let p(m) = -m**3 + 4*m**2 + 2*m - 10. Let n be p(5). Let y be (12\/(-15))\/((-10)\/n). Which is the nearest to 0.3? (a) -0.5 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 83 = 15*a + 33 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 31 (b) 3 (c) -2\/5 (d) 1.083 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2613\/500 - -3\/125. Find the common denominator of -35\/4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 246923513405676.\nAnswer: 246923513405683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -584.83 and -360?\nAnswer: 210538.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -76*d - 9. Let m be t(-6). Is (m\/9)\/(2\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2318*d + 1158*d + 1165*d - 2*y - 226, 0 = 3*d - 4*y - 130 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-30) + -7 + (-1698)\/(-252).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is the highest common divisor of 864977 and 1445?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 z when four letters picked without replacement from {l: 4, z: 1, k: 2, n: 2, h: 2, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28a - -8abc?\nAnswer: 8d46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + 6\/3. Suppose 0*h - 3*w - i = -2*h, 4*w + 4 = 3*h. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 220 = -4*t + 18*f - 79, -4*t + 21*f - 20*f - 275 = 0 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let t(z) be the second derivative of -z**5\/20 + z**4\/4 - z**3\/6 + z**2\/2 - 39*z. Determine t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38003*o + 187 = 38014*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10)\/((-3027)\/65585)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -1)\/((-2)\/20). Let r be w + 1 + -2 + -1. What is the units digit of 162\/r + 2\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from xpeqwdwe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 2:40 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3208 = 5*y + 876, -5*y = 2*b - 2012. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Let q(b) be the second derivative of b**5\/10 + 2*b**3 - 7*b**2\/2 - 1890*b. Determine q(s) + 6*z(s).\nAnswer: 2*s**3 + 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y + 3*y**3 - 17 + 6*y**2 - 1\/4*y**4. Find the second derivative of f(c) wrt c.\nAnswer: -6*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 229*w + 411. What is x(-2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - 66. Let r be -2 + -1 + (-56)\/(-2). Solve f*w + r = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1255644ng to tonnes.\nAnswer: 0.0000000000000001255644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433716321.\nAnswer: 499, 2873179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10645 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4354, -16966, -37990, -67432, -105298?\n\"Answer: -v**3 - 4200*v**2 - 5*v - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 27*d**2 - 45*d - 60. Let j be z(25). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 292 or 120042\/413?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 42999996 = 5*r - 2*q, 4*r - 3*q - 34399994 = -0*r. Let b = -193 - -195. Suppose b*l - l = r. Round l to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -16*i**2 + 11*i. Let y(k) = 3*k**2 - 2*k. Let f be 70\/(-6) - 16\/(-24). Calculate f*y(u) - 2*a(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8199.3554 to the nearest integer.\nAnswer: -8199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i - 26*i + 50*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -455, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15*l**3 - 2*l**2 + l. Let g = -26 + 29. Suppose 0 = 5*x + 4*s + 11, g*x + 2*s = -5 - 0. Give y(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Let j(f) = -3*f - 11. Let o be j(-5). Let z be (32\/(-90))\/o*5. Which is the biggest value? (a) 0.3 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9030152009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 + 23*n\/5 + 18.\nAnswer: (n + 5)*(n + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -0.044, 6, -5?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17935574.06 to the nearest one hundred thousand.\nAnswer: 17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*m**2 - 9*m**3 + 5*m**2 + 4*m**2 + 2 + 15*m**2 to the form n*m**2 + q*m**3 + x*m + f and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 14 + 2 = 0. Let i = 4 - 8. Let z(v) = -8*v - 5. Let c(d) = -d. Let q(u) = i*c(u) + z(u). Let j(b) = -5*b - 6. Calculate g*q(o) - 5*j(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9404 - -0.0596. Which is smaller: j or -0.0068?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 5*n**2 + 3*n + 6. Determine h(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.56 and 3085.65.\nAnswer: -48012.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 450*j + 10688. Calculate r(198).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3839 = -2*o + 3*k, -3844 = -4*o - 4*k. Suppose -5*h + 7*p + 1195 = 3*p, -4*h - p = -o. What is h rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 373830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 22. Suppose 10 + o = -3*w. Let i = w + 21. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.39.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3209 (base 11) to base 15.\nAnswer: 13ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) 48.2 (c) 223 (d) -3\/4 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 2*g + 23, -c - 4*g - 1 = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q + 0*q - 5*q + 14*q - 5 to d*q + w and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6445742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/4 - 4*p**3 + 13*p**2 + 22*p - 6117. What is g(-14)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-21 + 21 - 6*r) - r + 3*r - 3*r + (4 - 2 - 1)*(0*r - 3*r - 13*r) + 6*r - 2*r - 2*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106590 and 2673.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 347249499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*-309*(-1)\/2. Let f = 109 - b. Solve 0 = 3*g + p - f, 0 = -g + 4*p + 5 - 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2158274 and 16.\nAnswer: 2158290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32208 by -172.\nAnswer: -8052\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 3\/(-5) + 3. Let n = 8 + -5. Suppose -1 + 0 = -s - n*a, -2*a + 2 = 2*s. Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1. Let d(p) = -6*p + 15. Let l(j) = -d(j) + 5*z(j). What is the units digit of l(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9620398 micrometers?\nAnswer: 0.00009620398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1572760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1665981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzzzzzzczlczz. What is prob of sequence xl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -237.3 - 456728.3.\nAnswer: -456965.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5744*n - 5749*n - 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.98 and 0.14.\nAnswer: 7.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 8*h**2 - 8*h - 4. Let j be y(-7). Calculate the highest common divisor of 2 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.3445774 rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2699, 0, -3, 4, -61, -2, -4 in decreasing order.\nAnswer: 4, 0, -2, -3, -4, -61, -2699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 12*r**3 + 1256*r**2 + 3280*r + 1632 = 0.\nAnswer: -102, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25058095 + 59258095. Round k to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 19 + -4 + -3 + -18 + -2 + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5*v - 22 = 14*v, 5*u - 4*v = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 540.43 - 538. Let x = -2.3 + m. Round x to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28282854?\nAnswer: 2, 3, 1097, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4 - (4\/(-8)*0 - 116)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - -19 - 28?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, p: 2, u: 1, i: 1, d: 1, k: 2}. What is prob of sequence uwdp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6071507530 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43400 and 151900.\nAnswer: 303800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f*f**(-1\/4)*f)**(2\/37)*((f**0)**(-1\/86))**41 assuming f is positive.\nAnswer: f**(15\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:01 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -52*q + 106*q. Let n = -9 + 13. Which is greater: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5110 and 511?\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 7 in decreasing order.\nAnswer: 7, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1047550 and 1225.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1714 + 35393. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 41. Let a(r) = -11*r. Determine a(h(q)).\nAnswer: -33*q + 451","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 9065?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12483 is divided by 77.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*d**3 - 49*d**3 + 0*d**3 + (-4*d**2 + 3*d**2 + 2*d**2)*(-2*d - d + 2*d))*(17*d - 1 + 1).\nAnswer: -2193*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97494355 and 9913.\nAnswer: 9913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1110847, 1110848, 1110849?\nAnswer: 1110850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3545\/40 - 9 - 49\/(14112\/(-108))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 406609805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9973912 smaller than -9973912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3354044\/7*b**2 - 3343698\/7 - 2\/7*b**4 + 6692568\/7*b + 5176\/7*b**3.\nAnswer: -2*(b - 1293)**2*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*((s**(-2)*s)\/s)\/s)**3*(s\/(s\/(s\/(s\/s**(-1\/7)*s*s)))*s*s\/(s\/(s\/((s**(-6)*s*s)\/s*s*s)*s)))**28 assuming s is positive.\nAnswer: s**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 49\/18*x**7 - 4\/3*x**2 + 0 - 259\/60*x**5 - 14\/3*x**3 - 143\/18*x**4 - 3*x + 49\/15*x**6. Factor s(c).\nAnswer: (c - 1)*(c + 1)*(7*c + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*m**2 - 148*m + 148*m)*(2 - 6*m + 2*m + 2*m) to g*m**2 + w + x*m**3 + c*m and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10007.37401206 minus -10?\nAnswer: 10017.37401206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*g, -10*m + 14*m + 4*g = -40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94143746 divided by -29849.\nAnswer: 3154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 2*i**2 - 6*i + 13. Let u be a(3). Let g(n) = n**3 + 4*n**2 + n + 11. What are the prime factors of g(u)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33446 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -490*g**4 - 5937*g**3 - 16915790 with respect to g.\nAnswer: -1960*g**3 - 17811*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3749883, -3749831, -3749777, -3749721, -3749663, -3749603, -3749541?\n\"Answer: z**2 + 49*z - 3749933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -725.2 + 809. Let d = -84 + i. Let h = -0.4 + 0.2. What is the closest to d in h, -0.5, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 + 8*x - 9. Let s be d(-7). Let r = s + -124. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 3*x**2 + 6*x**2 + 15 - 7*x**2 + 8*x. Let f be l(-7). Calculate the greatest common factor of f and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(12)\/sqrt(4)*3 - (2 + sqrt(27))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -3 - (-4 - 0). Suppose -p*i + 11 = -21. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*p + 11 + 3, -4*g = p - 10. Suppose -2*o - 3*o = g*x - 340, 3*x + 51 = o. Suppose -2*f + b = 5*b - o, 2*f - 93 = 5*b. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - ((-2)\/1 - 54). Suppose -250 = -2*c + q. Let a(k) = k**2 - k - 11. Let x be a(-5). Calculate the highest common divisor of c and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20624857.\nAnswer: 11, 1874987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3872)\/196504)\/(-2*4\/(-84)).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*v - 826, -5*v + 540 - 121 = 2*z. What is the greatest common divisor of z and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 26 = -5*w + 3*r, -2*w + 11 = -r. Calculate the remainder when 15 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 10*c**2 - 40)*(23 - 21 + 91)*(-2*c + 2*c + 2*c + (1 - 1 + 2)*(0 + 2*c + 0) + 3*c + 1 - 1).\nAnswer: 8370*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/7, 0.06, 0.3, -5, -1\/2, -8\/7, -1\/71?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1024, -2058, -3078, -4078, -5052?\nAnswer: -5994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881918368 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 8*a + 80. What is c(-8)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5)*-2)**2 + (-1*sqrt(5))**2*-4.\nAnswer: -16*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9000 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*w, 2*w = -2*m - 2*m - 28. Let l be (-388)\/m + (-2)\/(-4). What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26807841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61961\/4182 + -12\/697. Let c = 104717\/17170 - -2\/1717. Find the common denominator of c and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a + 11*a + 1032 - 1031.\nAnswer: -16*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -1\/2, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/24)\/(4\/27). Let r = 4229\/96 + m. Let v = r + -44. Sort 3\/2, 3, v in decreasing order.\nAnswer: 3, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946823920.\nAnswer: 2, 5, 1013, 24023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**3\/2 - p. Let s(f) = -f + 5. Let h(w) = w - 8. Let b(y) = 5*h(y) + 8*s(y). Give v(b(z)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**2. Let q(i) = 2312*i. Give q(x(l)).\nAnswer: -11560*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14588 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(3\/8))**(2\/85)*f\/f**(-1\/7)*f**8 assuming f is positive.\nAnswer: f**(21837\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4717*z + 10604*z = -4099*z + 678016 - 1843216 for z.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57655 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 41*o**2 + 5*o + 211. Let t be g(-41). Let h(x) = x**2 - 3*x**2 - 5*x - x**2 + 4*x**2 - 4. Calculate h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 1179 + 6*y - 571 - 608.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*f + 31*f - 75. Suppose 0 = -6*g + f*g + 423. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - -2679713177.\nAnswer: 2679713189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50548941.\nAnswer: 3, 31, 41, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -2. Let j = t + -7. Suppose 0 = 2*i - 0*i + 8. What is the closest to j in 4, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213620704.\nAnswer: 2, 37925647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 228, 5, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 34, -0.02, 0.5, 0.1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 26*i - 30. Let y(m) be the third derivative of m**i + m**2 + 1\/20*m**5 + 0 + 0*m + 8*m**3. Determine n, given that y(n) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1659.91586 rounded to one decimal place?\nAnswer: -1659.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6360.338 millimeters to meters.\nAnswer: 6.360338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = r + 5, 3*w - 6*w = -4*r + 5. Let m = -12 - -19. Let h(d) = 4*d. Let b(c) = -3*c. What is m*b(s) + w*h(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6 and -17 + 690613\/27615 + -8?\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-24)\/20 + 1). Suppose x*l = 4*l - 65. Round l to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213652 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1932\/(-8))\/(-23)*8\/(-12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3.8, 0.3, 2\/23, -0.1?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) + 52\/8. Solve 4*b + 8 = u - 3*u, -u + y = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.49 less than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 3, u: 2, n: 1, y: 1, d: 2}. What is prob of picking 1 h and 1 o?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2867*m**3 - 2864*m**3 - 1.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -2\/13, 3, -7 in decreasing order.\nAnswer: 3, -2\/13, -0.9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 7:36 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + x - 8*x)*(1 - 1 - 2*x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 12*j**2 + 13*j + 4. Let a be f(-13). Suppose -28400000 = -8*r + a*r. Round r to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0 + 0*b**4 + 0*b**2 + b**3 + 7\/20*b**5 + 12*b. Find the second derivative of h(z) wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p + 1. Suppose -5*n - 3 = -l, 0 = -59*n + 63*n + l + 6. Let y(c) = -15*c**3 + 3*c**2 + 3*c - 3. Calculate n*y(s) - 3*a(s).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 239*q + 6977 + 14533 for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(-3 - 34\/(-10)). Let g(b) = 4*b**3 + 8*b**3 + 7 - 11*b**3 - 6*b**2 + 7*b. Let k be g(4). Solve -5*t = 15, -d*t = k*l - 0*t + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8703 years to centuries.\nAnswer: 0.008703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/(-32))\/(2\/88). Let g(x) = 2*x**2 - 5*x - 3. Let z be g(5). Calculate the highest common factor of z and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2 + 3128*a + 9348 = 0.\nAnswer: -779, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0045154 to four decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2. Let n(a) be the first derivative of 9\/2*a**2 - 79 - 2*a. Determine z(n(j)).\nAnswer: 324*j**2 - 144*j + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2112 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -103?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -31.21. Let p = 0.09 + o. What is the closest to 1 in p, 2\/7, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31552 + b + 10*b**3 + 31290 - b.\nAnswer: 10*b**3 - 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/4 - 7*c**3\/3 + 4*c**2 - 2*c - 5. Let i be b(6). Find the common denominator of (-95)\/(-4)*4\/i and -39\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(20\/24*-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 k when four letters picked without replacement from {c: 1, k: 1, n: 1, m: 2, b: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 7 - 27 - -3) + 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Let k = w + -2. Is 5 a factor of (-120)\/(-9) - k\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3612787, 3, 7 in ascending order.\nAnswer: -2\/9, 3, 7, 3612787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 70 = -0*o. Let s(q) = -q**2 + 14*q - 15. Let m be s(o). Let f be 3 + (m\/(-3))\/(-5). Solve 2*l + f = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**5 - 141*p**4 + 1653*p**3 + 1149*p**2 - 55080*p = 0.\nAnswer: -5, 0, 8, 17, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*g**2 - 2*g**3 - 37*g**2 - 2*g**3 + 5*g**3 + 50*g**2.\nAnswer: g**3 + 48*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, -1, 2, 3, 60 in descending order.\nAnswer: 60, 3, 2, 1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r - 8 = -4*i, r = 2*i + 10. Solve r*b + 3*d - 3 = 0, -2*b - 9*d - 6 = -5*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304003727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1205 and 0.035?\nAnswer: 1205.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 247899*h**2 - 4547446?\nAnswer: 495798*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-35)*((-60)\/(-9))\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 100 = d, f = -3*f + 16. Let a be (-24 + 1)*1\/(-1). Calculate the highest common factor of d and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46154 times 141.3\nAnswer: -6521560.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 65960 divided by 4\nAnswer: 16490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 191\/(-9) - 2\/9. Suppose 2*z = 3*v + b, 0 = -3*z - 4*v - 2 - 2. Let l(d) = d**3 + 12*d**2 + 12*d + 13. Let t be l(-11). Solve -14 - t = z*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*y + 4*k, 10*k - 7*k - 45 = -y. Let b = 34 + -8. What is the greatest common divisor of b and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a319a (base 11) to base 6\nAnswer: -3121213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -22*g**3 + g**2 + 1680*g + 4. Let c(d) = -43*d**3 - 3*d**2 + 3358*d + 7. Let j(o) = -4*c(o) + 7*i(o). Find the second derivative of j(u) wrt u.\nAnswer: 108*u + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20337561 is divided by 782213.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 2*k - 16 = 0, 3095*k - 3101*k = m - 59 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7724.462 rounded to the nearest 100?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 1. Let v be w(3). Let i = 30 + -35. Put v, i, 1 in ascending order.\nAnswer: i, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -16*g - 97. Calculate x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)**(-10\/7))**20\/((k\/(k*(k**6*k)\/k))\/k**(-3))**(-21) assuming k is positive.\nAnswer: k**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*(-120)\/(-16). Sort -3, d, -4.\nAnswer: d, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/282*(-8221437)\/(-54756). Let p = -2\/7943 + h. Calculate the common denominator of -107\/12 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let z(i) = -21 - 7*i**2 + 19 + 41*i**2. Give o(z(t)).\nAnswer: -34*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z - 4. Let u(h) = -7*h + 0 - 3 + 8. Let j(w) = 2*w + 2. Let i be j(-3). Let q(t) = i*u(t) - 5*f(t). Let a(l) = -2*l**2. Determine a(q(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 8. Let q be 1 - ((-57)\/(-3))\/a. What is the greatest common divisor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.13 (b) 2\/43 (c) 0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28513 and -20.\nAnswer: -570260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 141*b**4\/4 + b**3\/3 - 2*b**2 + 2*b - 16. List the prime factors of t(1).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-24)*j*j\/(j\/(j**(3\/2)\/j))*j*(j*j**16\/j)\/j**(-1\/14))**13 assuming j is positive.\nAnswer: j**(3965\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.52 * 101.6.\nAnswer: -154.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 (base 12) in base 10?\nAnswer: -665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 3*b - 5. Let k be p(4). Calculate the remainder when (5\/(-10))\/(2\/(-236)) is divided by 20 + k + 1\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12912*b*k**2 - 4*b*p**2 - 137*b - 4*k**3*p**3 - p**3 + 3*p with respect to k.\nAnswer: 25824*b*k - 12*k**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 391 - 187. Let h = -200.28 + t. Let k = h + 0.28. Sort -1\/2, k, 1 in descending order.\nAnswer: k, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 13360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/54*55944\/39368?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1546 and 4.\nAnswer: 3092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1026 + -1039. Let m = -24.6 + 24.5. What is the closest to m in y, 1\/4, 2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 12:35 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/4, 0.11, -5, -1\/2, 0.4, 1\/5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -7, -1.31, -5, 2\/23, 0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 860807, 1721611, 2582415, 3443219?\nAnswer: 4304023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -5. Sort 0.3, 4, m in increasing order.\nAnswer: m, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -52*h**2 + 8 - h**3 - 5*h - 57*h**2 + 116*h**2. Let a be i(6). Suppose -a*j - 525 = -19*j. List the prime factors of j.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/12 - -1)*6. Let h(w) = -3*w + 2. Let x(k) = -9*k + 6. Let d(p) = 11*h(p) - 4*x(p). Determine d(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 2*m**2 - 8*m - 11. Let j be (0 - (-161)\/(-35)) + (-9)\/(-15). Let o be w(j). Let b(t) = -t - 9. Determine b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 515*w + 520*w - 7342 - 39457.\nAnswer: -w**3 + 5*w - 46799","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*h**3 - 282*h - 2*h**2 - 85*h**3 - 50 - 617*h**3 + 285*h.\nAnswer: -530*h**3 - 2*h**2 + 3*h - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19289*d**2*f**2 - 24*d**2*h + 2*d*f + 15*f**2*h - 4*f*h + 40*h + 214 wrt d?\nAnswer: 38578*d*f**2 - 48*d*h + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 389, 891, 1605, 2537, 3693, 5079, 6701?\nAnswer: 8565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13804 divided by 3.\nAnswer: -13804\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.7. Let g(p) = -2*p + 23. Let d = 56 - 44. Let s be g(d). Sort 5, w, s.\nAnswer: s, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 36938420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131.95 - 132.35. Sort 5\/4, d, 2 in ascending order.\nAnswer: d, 5\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t - 1. Let y be 0 - (3 + 0 - 2). Let r be l(y). Solve 2*j - 4*v = r, 2*v + 24 = -3*j - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -1534?\nAnswer: -22\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (0 - (1 - -2 - 2)). Suppose 3*b - 208 + 25 = o. List the prime factors of b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1403, -2783, -4151, -5507, -6851, -8183?\nAnswer: -9503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3))**(-3\/10)\/((h*(h*h**(1\/3))\/h)\/(h**(3\/2)*h)))**35 assuming h is positive.\nAnswer: h**(217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63, 78, 105, 150, 219, 318?\n\"Answer: v**3 + 8*v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/21 and 1\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2784 times -0.2?\nAnswer: 556.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5284\/7 - -79316\/105. Factor -34\/15*v**2 + 24\/5*v - s.\nAnswer: -2*(v - 2)*(17*v - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -214641622*k*u - k - 342941672 wrt u.\nAnswer: -214641622*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6707536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4350281 by -334637.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1) + (14 - 3). Suppose a = i - 1, 5*i + a - 11 = w. Solve -2*q + 0 = 5*r - 2, 0 = i*r + 5*q + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -32.\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/5)\/((-52)\/20 - -3). Suppose 0 = 5*x + m - 1116, -6*x - 676 = -g*x + m. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w + 7*w**2 - 3 - 6*w**2 + 1. Let u be z(-3). Suppose 4*q - 64 - 24 = 0. Calculate the highest common factor of q and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 2 = 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 0, 33, -5 in ascending order.\nAnswer: -5, -2, 0, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3954 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Convert -87132 (base 9) to base 14.\nAnswer: -17057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58 - -8836dc?\nAnswer: 883756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 213586339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102\/7015 in 21, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2263230 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-28)*j))*j\/j**(4\/3))**(1\/81) assuming j is positive.\nAnswer: j**(-82\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9 = -111. Suppose -6*t + o = -2*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315 divided by 5?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.391 and 141.5376.\nAnswer: 141.1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/1064 and 55\/361148.\nAnswer: 96065368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25754 and 16.\nAnswer: 206032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1371 and 137\/41256.\nAnswer: 18853992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 1, a: 2}. Give prob of picking 1 i and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 320044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-15)*-10 - 2\/(-6). Let t be (2 + 1)*4\/(-6). Which is the closest to n? (a) -0.2 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 283.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)\/sqrt(7))\/sqrt(2)*6)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 8:08 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-108)*((-288)\/405)\/(-16)*(-144)\/(-24).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/69 + (-1 - (-658)\/(-161))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 8. Calculate v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407 a factor of 877195045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 3*o + 0*o - o**2 - 3. Let k be j(-4). Let y(v) = v**2 + v - 1. Let m(c) = -c + 1. Calculate k*y(d) + m(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + 0 - (3 + -1) - (42 - (47 - 15))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2430\/12)\/45*(-28)\/18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:25 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -708*t - 237342. What is n(-335)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128\/4951 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeyp when four letters picked without replacement from {a: 1, e: 1, y: 2, p: 1, v: 2, s: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.81 - -0.19. Let o = 14 - r. Let t = 4.5 - 4. Which is the closest to o? (a) t (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 2*f - 82. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/15*(4\/(-8))\/1*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3052 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*p**3 + 6*p - 9*p + p + (4*p**2 - 4*p + 4*p)*(-5*p + 0*p + 4*p)*(2 - 1 + 1).\nAnswer: 19*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/b**(-1\/3)*(b**2\/b)**34)**(1\/83) assuming b is positive.\nAnswer: b**(79\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*g - 4*d**2 - 215*d*g - d + 75039*g - 1 wrt d?\nAnswer: 2*d*g - 8*d - 215*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4867 divided by 3.\nAnswer: 4867\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + (-19 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -121, -138, -175, -238, -333, -466, -643?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 3 - (15 - (-14 + 28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 + -351. What is the tens digit of o*(3 - 198\/42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n + 2*p = 233, -4*n + 2*p = -172. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 15*p + 5*p to the form q*p + j and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/3 + 1478*n**4\/3 - 7340*n**3\/3 = 0. Calculate n.\nAnswer: 0, 5, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*h - 50616723 = 107324422. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/80458 and -103\/27048.\nAnswer: 22206408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 374 - 367. Calculate the remainder when 40 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000001100000110 (base 2) in base 6?\nAnswer: -3310034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -661 - -666. Suppose 5*i - 32 = -4*f, -c*f = 5*i - 7*f - 14. Solve -i*u = -4*v, u - 20 = v - 4*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 26. What is j(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -3)\/((-144)\/5472)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*n = -3766, -5*n = -10 - 0. Let w = -427 + r. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {x: 1, m: 2, s: 2, l: 6}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -9) + -2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02867031864 to four dps.\nAnswer: 0.0287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-1) + -4 + 1. Let w(f) = -5*f - 7*f**2 + 2*f + 11*f**2 - a + 4 + 24*f**3. What is the tens digit of w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459145027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*a**2 + 26015675*a - 211*a**2 - 26015675*a.\nAnswer: -289*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1390\/(-5858)) - (-4)\/(-1). Let c = -2\/139 + y. Let t = -272 + 2444\/9. Sort c, t, -4 in descending order.\nAnswer: c, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23654329?\nAnswer: 23654329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 241*s + 1792. Let v(r) = -40*r + 1. Calculate 6*v(p) + z(p).\nAnswer: p + 1798","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-6))\/(69\/(-46) + 4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 17. Let f(h) be the second derivative of -2*h**4\/3 - 3318*h. What is n(f(q))?\nAnswer: 64*q**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*z**2 - 2*z**3 + 0*z**3 - 181*z**2 + 4 - 2 - z**3 - 11*z**6 wrt z?\nAnswer: -1320*z**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42059845315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**24*l**11*(l**(4\/9))**45)**(-7) assuming l is positive.\nAnswer: l**(-385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -655.4 + 655.1. What is the smallest value in -2\/13, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*4 + -3)**2.\nAnswer: -288*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -61*b - 10019. Calculate s(-164).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**6\/120 + a**5\/12 - a**4\/8 - 2*a**3\/3 - 143*a**2 - 2. What is r(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -33*m - 1. Let i be g(-1). Suppose -3*o - 3*c = -33, -2*o = -3*c + 7*c - i. Let f be -2*(-2 + 27\/o). Which is smaller: f or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-112)\/(-42) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnnootgntnogtotgnn. Give prob of sequence ntn.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/12*-9 - (-6)\/8. Suppose -3*k - 642 = -f*u, -u - k + 622 = 2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -17*z - 281. List the prime factors of g(-19).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8708349 is divided by 278.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:03 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and 14.321771?\nAnswer: -34.3722504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 34 - 5 = 5*s, -4*s = -3*v + 76. Calculate the highest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a29 (base 11) to base 6.\nAnswer: -40122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-900)\/210)\/((-10)\/28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 46*h**2 - 2*h - 48. Let t be a(-23). Let u(f) = 7*f + 2. Let z(q) = -8*q - 3. Determine t*z(i) - 3*u(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 4*y + 5*y - 4*y - 2*y**3 + 10 in the form x + j*y**3 + m*y + n*y**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {z: 4, n: 1, s: 3, t: 12}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757904 - 154*x**3 + 757904.\nAnswer: -154*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = -u + 4*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 453\/364 - -1\/182. Let p be 4\/(-18) - 38\/(-9). Suppose -2 = -2*k + l, 4*k = -5*l + 3*l + p. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3186*a - 3189*a + 9. Let n(m) be the first derivative of -3\/2*m**4 + 0*m**2 - 18*m + 0*m**a - 20. Differentiate n(y) with respect to y.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**4\/4 + 15*a**2 + 6. Let b(t) = -23*t**2. Calculate b(s(p)).\nAnswer: -828*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (10 - (19 - (36 + -19)))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(120)\/(sqrt(8) - ((sqrt(48)\/sqrt(3))\/sqrt(2) + sqrt(8))))\/(sqrt(36)\/(6*sqrt(108))))**2.\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**4\/6 - s**3\/3 + s**2\/2 + 10*s - 10. Let i(j) be the first derivative of c(j). Give i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ad (base 16) in base 10?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b5636f (base 16) in base 15?\nAnswer: 109c331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*s - 2*s - 29*s + (-2 + 5 - 2)*(-9*s - 7*s + 7*s)*(2 - 4 - 4).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 21*p**2 - 758*p + 87. Let u be k(36). Which is the fourth smallest value? (a) -3 (b) -0.06 (c) u (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12423441 (base 5) to base 15.\nAnswer: 26966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(sqrt(1573) + sqrt(1573)*-2)*-3.\nAnswer: 165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6 - 1)*(-14 - -11). Let y = 3 - a. Which is greater: y or 8\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534.737511 milliseconds to weeks.\nAnswer: 0.0000008841559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z = 4. Suppose 3*g + 5 = z*g. Find the third derivative of -k**2 - 2*k**5 + 5*k**5 + g*k**5 wrt k.\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(242) + (3*-2*sqrt(242))**2) - (2 + (5 + sqrt(242) + 0)**2 + sqrt(242) + 4*(sqrt(242) + 0 + sqrt(242))).\nAnswer: 11*sqrt(2) + 173971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 2\/9 (b) 1\/9 (c) -9 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 5) + 6 + -2 + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 17 + 7 = 0. Suppose 5*u = m*u. Suppose u = -3*h + 98 + 154. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.77 (b) -1 (c) 1.2 (d) 0.04 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 4*n**2 + 51*n + 44. Let y be q(-5). Solve c = -z - 3, -z + 11 = 2*c + y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 58502*q - 58500.\nAnswer: -2*(q + 1)*(q + 29250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-264)\/(-30))\/11)\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*d**2*q**3 + 10*d**2 - d*q**4 + 18*q wrt q?\nAnswer: -522*d**2*q - 12*d*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 12:44 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14614260 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -28. Suppose 2*h - 3*d = -13, h - 4*d = -r*h - 18. What is the nearest to 1 in 2, h, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 3016191.\nAnswer: 1508095.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -36758505 at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10422933?\nAnswer: 3, 23, 151057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 11 + 0 = 0. Let y(i) = -7 + 2 - 5*i + 7*i + 8*i**2 - i**3. Let w be y(8). What is the highest common factor of w and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/11, 5, -770 in increasing order.\nAnswer: -770, -2\/11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16406 * -1456.7\nAnswer: 23898620.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1138637, -2277266, -3415885, -4554488, -5693069, -6831622, -7970141, -9108620?\n\"Answer: q**3 - q**2 - 1138633*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175 - 177) + (0 - 1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5617493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1, 2, -1\/3, -33 in ascending order.\nAnswer: -33, -1, -1\/3, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 21?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60499, 60500, 60501?\nAnswer: 60502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 607355563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s + 10. What is the biggest value in s, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374\/7 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2 + 7. Suppose -l + 9 = 2*i. Solve 0 = -q + 3*t - 1, q - 5*t = -q - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3)*-4 - sqrt(12))\/(2*sqrt(216)).\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5 + (-64)\/60)*370\/148\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950770.1us in seconds?\nAnswer: 0.9507701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0, 21, 29, -0.5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - 544\/(-85). Is ((-24 - -3) + -3)*u\/(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*c**2 - 10038302*c - 872896.\nAnswer: (c - 436448)*(23*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-60)*2\/(-8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 7:38 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -21*m**2 - 2*m. Let r(q) = 32*q**2 + 6*q + 17. Let a(z) = -10*z**2 - 2*z - 6. Let x(k) = 17*a(k) + 6*r(k). Calculate -6*s(n) - 5*x(n).\nAnswer: 16*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -172? (a) -7702 (b) 0.2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 95.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1649.78 + -11.5?\nAnswer: -1661.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 5. Let a be t(-7). Let v be (-212)\/a - (-4)\/22. Let r = v + -3. Let l(b) = 4*b + 1. Determine l(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by 93199.\nAnswer: 208\/93199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*b + 6 = 0, -3*j - 1 = b - 11. Solve i - 3 = -j*x, -5*x + 7*i = 4*i - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22958067400 rounded to the nearest 1000000?\nAnswer: 22958000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/251 - -511\/2259. Let p = -0.88 - 0.12. Which is the second biggest value? (a) p (b) 3 (c) v (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478421.\nAnswer: 3, 7, 31, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1728 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148409*t**2*z**3 - 594*t*z**3 + 175*z**3 wrt t.\nAnswer: 296818*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 16575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -143885.9302 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -34*i**2. Let h(k) be the second derivative of -k**5\/30 + k**3\/2 - 7*k**2 + 22*k. Let x(s) be the second derivative of h(s). What is x(z(p))?\nAnswer: 136*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a**4\/7 - 1620*a**3\/7 + 112542*a**2\/7 - 61560*a + 60648 = 0.\nAnswer: 2, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813002165.\nAnswer: 5, 162600433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84.94 + 85. Which is the nearest to -2? (a) w (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let a be (-1)\/((-2)\/8) - 2. Let f(y) = -a + 2 + 3*y. Let p(b) = f(b) + n(b). Let x(h) = 4*h. Give x(p(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 5 - 34 - 4*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7129*g + 142605. Give k(-20).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 5*y**4\/24 - y**3\/6 + y**2 + 1. Let q(a) be the second derivative of h(a). Let p be q(1). Solve p*o - 2 = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.804? (a) -283 (b) -4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27d + -13af?\nAnswer: -162c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*g = 60, -66 = -0*l - 4*l - 2*g. Let r = l - 7. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/33 - -29\/132. Let l be (-1)\/2 + 15\/38. Let t = -3 + 7. What is the nearest to i in t, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99988, 199978, 299968?\n\"Answer: 99990*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.61 + 56.39. Let y(s) = 3*s - 57. Let j be y(19). Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -271684 by -1.\nAnswer: 271684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -11*t**2 - 11*t - 13. What is the first derivative of p(i) wrt i?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 565106, 1128598, 1692088, 2255576, 2819062, 3382546, 3946028?\n\"Answer: -r**2 + 563495*r + 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.380251 milligrams?\nAnswer: 9380.251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.042, 2, -5?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 1. Let f be c(1). Suppose f*j = -3*j - 9, j - 44 = -i. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.76 + 9. Let y = 0.44 - v. Which is smaller: 0.22 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -486 > -486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 - 110. Suppose -4*w - i = -1. Let s = w + 38. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u**(-1\/2)*u**(-15)*u*u**(-26)\/u)**(-1\/29) assuming u is positive.\nAnswer: u**(99\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 275\/(-55)*((-19824)\/(-70))\/(-6)*1\/(-4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 19054*l - 50211100.\nAnswer: 2*(l - 2150)*(l + 11677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10722 by 64.\nAnswer: 5361\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/((77 - 30)\/(-47)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 749355110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, b: 4, z: 2, d: 3}. What is prob of sequence bebe?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 134. Determine s(104).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 4*i + 7. Let l be j(5). Factor -15 + 19 - 5*w**3 - 2*w**2 - 2*w**l + w**3 + 4*w.\nAnswer: -4*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 57 = 15. Let g = -49 + a. Let v be 21\/g + (-131)\/(-4). What is the greatest common divisor of 256 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjqd. What is prob of sequence dqjd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/1 + (1 - 2). Let a(n) = i*n - 1 - 2*n - 1 + n. Let s be a(2). Sort -3, s, 5 in decreasing order.\nAnswer: 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*r**3 - 460*r**3 - 152*r**3 + 1087*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000096655 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.47 - 0.03. Suppose 2*c = -2*c - 4*n - 28, -4*n = -5*c + 1. Let u be 4\/c + (-2)\/(-2). What is the biggest value in 4, u, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-16)\/(-4)) + 5. Find the third derivative of -7*c**4 + 0*c**2 + 5*c**2 + c**w wrt c.\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000433374 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*(-3)\/(-6))\/(-4). Sort p, 1\/5, 2\/5 in ascending order.\nAnswer: p, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05545 - -0.24455. Which is the second smallest value? (a) -1\/2 (b) -4 (c) y (d) -0.2 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1088\/51 - (-2)\/(-24)*4. Solve 14*n = -7*n - w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51622 + -1?\nAnswer: -51623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-1))\/((-12)\/18). Let x = 3.6 + 0.4. What is the nearest to 1 in a, x, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 13*q**6\/6 - q**3\/3 - 33*q**2\/2 + 32*q. Find the second derivative of a(f) wrt f.\nAnswer: 780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4 - 17032992*s**3*w**3 + 2*s*w**3 + 6*s*w**2 + s*w + 154*s - 5*w**3 - 3*w wrt s.\nAnswer: 12*s**2 - 102197952*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1276551 + 1276551.4. Let h = 4.94 + 0.06. Let o = h - 0. What is the second biggest value in v, 2\/21, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.0692*1.02\nAnswer: -7.210584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1688 and 11605.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 11:46 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68\/(-12) + 2\/3. Let o be 5\/(-1 - 6\/y). Suppose 4*q - o = -q. Solve -4*n + 0*n + 9 = -5*m, -3*n = -q*m - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -35. Suppose -19 = -d + 3*j - s, -5*j = -5*d + 65. Let m(w) = 4*w - 17. Calculate the remainder when d is divided by m(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 2 (b) 0 (c) -2 (d) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 115.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + y. Let q be z(3). Let i(b) = -b**2 - 8*b - 10. Let k be i(q). Solve 4*s + 3 = 3*w, -k*w = 6*s - 3*s + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 75 + 5*k**2 - 346 + 0*k - 6*k**2 + 0*k**2 + 6*k. What is x(14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*m + 96*m = 156. Find r, given that -2*r**2 + 57*r - 338 - m*r + 34*r = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/45)\/((-693)\/(-770))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**2\/2 - 6. Let u(c) = 10*c**2. Give y(u(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 388.2 and -403.3.\nAnswer: -156561.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 209, 218, 249, 314, 425, 594, 833, 1154?\n\"Answer: 2*z**3 - z**2 - 2*z + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rff when three letters picked without replacement from {f: 5, r: 13}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21137818, 21137813, 21137804, 21137791?\nAnswer: 21137774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 106. Let x = -43 + s. What is x rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(396) - (sqrt(396) - (sqrt(396) + -1))**2) + sqrt(396).\nAnswer: -6 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 64\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 58?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/11*c + 0*c**3 + 2\/11*c**4 - 6\/11*c**2 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -49, -87, -129, -169, -201, -219?\n\"Answer: u**3 - 11*u**2 - 2*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 421791023*w**5 + 57*w**2 - 4999*w + 19 wrt w.\nAnswer: 25307461380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a tonne in kilograms?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -16, 1, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-1 - 2) - 6) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 38 = -n + 2*s, -3*n + s = 61. Let y be 2\/15 + n\/(-30). Let f be 4\/36*15 - 1. Sort y, f, 3\/4, 0.4.\nAnswer: 0.4, f, 3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.2084 >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13.347 - -5.51\nAnswer: -7.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14798 by 2.\nAnswer: -7399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321173*-54.\nAnswer: -17343342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k*k*(k**(-1)*k)\/k))**(13\/2)*k*k**(-14)*k\/(k\/(k*k**(16\/3))) assuming k is positive.\nAnswer: k**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 5. Let b be o(5). Solve y + 3*i + 13 = 0, i + 4*i - 5 = b*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31135 - -31164. Solve j - 14 = -5*l + q, -3*l - 4*q - 32 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (522*h - 1127*h - 552*h)*(-4 - 2*h - 13 - 3) to d*h**2 + t*h + v and give t.\nAnswer: 23140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 24312?\nAnswer: -1\/3039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-45) + ((-1125025)\/(-45))\/5. What is v rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**4\/4 + 2*h**3 + 3*h**2\/2 - 7*h - 1058. Suppose 3*j + 18 = j - 5*d, -14 = 3*j + d. What are the prime factors of v(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13068 divided by 22?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-7)\/(-28)*1*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/2 - 2091*o**2\/2 - 1457427*o\/2 - 338608873\/2 = 0. What is o?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2450 less than -409.94242?\nAnswer: -2859.94242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 4\/13*z**3 - 1\/65*z**6 + 1\/130*z**5 + 17*z + 11\/78*z**4 + 4\/13*z**2 - 1\/273*z**7 + 0. Let w(t) = 0. Calculate t.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -46*r + 23. Is 35 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -111188, 17, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301030012213 - -3?\nAnswer: -301030012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*j - 22114 = -73858. Solve -j = 48*d + 8*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 4. Let f(n) = n - 1. Let s(y) = -d(y) - f(y). Determine s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3))\/l**(-1\/4)*(l*l**(-3\/11))\/(l**(-1\/12)*l*l*l) assuming l is positive.\nAnswer: l**(-130\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**2\/2 - 4*x - 1. Let b be c(-8). Solve -y - b = 2*r + 5, 10 = 2*y - 3*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 424 = -r, 0 = -2*r + r - 2*g + 423. Let s(p) = 846*p + 8477. Let o be s(-10). What is the highest common factor of o and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -90*w**3 - 6*w**2 - 2*w - 22. Let c be q(7). What is c rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 7*h**4\/12 + h**3\/6 - h**2 + 4. Let w(b) be the second derivative of q(b). Does 6 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*t = 5*l - 14, -14 = 5*l - t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 99*a + 893. What is d(-8)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -950319.7572 rounded to the nearest 10000?\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3632 + -3631.6314. What is p rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -28141*b**3 - 51*b**2 + 17*b. Let i(f) = -9379*f**3 - 18*f**2 + 6*f. Calculate 17*i(k) - 6*x(k).\nAnswer: 9403*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68853 - -68853.2. Let w = 3 - 4. Which is the closest to -1\/8? (a) u (b) w (c) -3\/4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 5, a: 4, f: 6}. What is prob of picking 1 c, 1 f, and 2 a?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4\/3*k + 5\/6*k**3 - 1\/6*k**4 - 1\/6*k**5 + 1\/6*k**2 + 2\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16637 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: Round -177100 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 3*d. Suppose d*t - 2*t - 15000 = 0. What is t rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 34. What is the second biggest value in b, 2, -5, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 111*p + 1383 - 495 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -676*r**2\/5 - 1144*r - 2420.\nAnswer: -4*(13*r + 55)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221221120 (base 3) in base 2?\nAnswer: -1001011011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.066 + 8.066. Let u = s + -10. What is the nearest to 1 in u, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -0.066875.\nAnswer: -0.366875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 + -7. Let l = d + 86.74. Round l to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*h - 79*h + 4. Let n(p) = -p**2 - 3*p + 31. Let y be n(h). Solve -5*a - 4*l + 12 = 0, -3*a + y*l - 4*l + 3 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19321456 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2)\/((-58)\/(-203)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r + 177450 = -22980. What are the prime factors of r?\nAnswer: 2, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0 (b) 1 (c) -1\/3 (d) -0.2 (e) 38 (f) -8932\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26376 - 3?\nAnswer: -26401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -184, -181, -204, -265, -376, -549, -796, -1129?\n\"Answer: -2*k**3 - k**2 + 20*k - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 2*w. Let o(i) be the third derivative of i**7\/5040 + i**5\/10 + i**4\/12 + 25*i**2. Let x(q) be the third derivative of o(q). What is x(g(a))?\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**5\/3 - 5*c**4 + 29*c**3\/3 + 69*c**2 - 28*c\/3 - 64 = 0.\nAnswer: -16, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 43 + (-9 - 57)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Let d = f + 9. Let j = d + -3. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b, h + 84499 = -0*h - b. What is h rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k + 2 - 2)*(4 + 3 - 5) + 4*k + 2*k - 5*k + 40*k + 33*k + 11*k)*(5*k**2 + 0 + 0).\nAnswer: 415*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4}. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpccpppczpc. Give prob of sequence cczp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59157.4761644 - 12.\nAnswer: 59145.4761644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - i**2 - 8*i - 9. What is the tens digit of v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1579366379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.2, -381.\nAnswer: -381, -2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143735 (base 8) to base 6.\nAnswer: -1032513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*h = 6559 + 18553 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n - 4 = 15*k - 11*k - 70, -35*n - 4*k = -40*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8634, -8527, -8384, -8235, -8110, -8039, -8052?\nAnswer: -8179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/3 + 716*j**4 + 27542*j**3 - 97688*j**2\/3 - 169576*j = 0.\nAnswer: -1034, -41, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*d + 115, -d = -4*i + d + 150. Solve -2*l - i = 2*l - 5*o, 0 = 2*o - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - -1 - (3 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - 0.5. Let k = 0.7 + j. Let g be (-2 - -3)*-1*2. Which is the nearest to g? (a) k (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02805 - -0.11805. Which is the nearest to 0.2? (a) 1 (b) 1\/4 (c) s (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**3\/3 + 9*k**2\/2 - k - 3. Let z be x(9). Which is the closest to 0.2? (a) z (b) 0.5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 9*f + 6 = -t, 0 = -5*t - f - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*k - 99474 = -2575*k for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 13*a = -100. Suppose -3*o = -5*i - 438, 181 = 2*o - a*i - 116. List the prime factors of o.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 19*v**2 - 3*v**2 - 2212 - 9*v**2 to o + p*v**2 + j*v and give o.\nAnswer: -2212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -240897567, -481795139, -722692713, -963590289?\n\"Answer: -n**2 - 240897569*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 20. Suppose -38 = -t + c*n, 2*t + n - 58 = 2*n. Suppose 8 = -3*f + g + 28, t = 3*f - 5*g. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43 + -0.03. Let x be (-2 - 14\/(-2))*-1. What is the third biggest value in x, -1, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65822 is divided by 170?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/12 and -93\/3712?\nAnswer: 11136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -2*w**9\/63 + w**5\/30 - 16*w**2. Find the third derivative of n(r) wrt r.\nAnswer: -1920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 4. Let f(k) = -k - 7. Let o(c) = 4*f(c) - 7*p(c). Let i(q) = -4*q**2. Calculate o(i(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovopj. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssj. What is prob of sequence jsj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1881*s + 9553*s + 1085590 - 356750 for s.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1998 and -28\/15?\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 12:40 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 36*m + 188. Let y = 145 + -139. Let o be q(y). Solve s + o = 3*g, 0*s = -5*s - 5*g - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, f: 4}. Give prob of picking 1 f and 3 a.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -8.03822 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 3:22 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 9:09 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27296 is divided by 306.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.291249 rounded to three decimal places?\nAnswer: 5.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 80*j - 686. Calculate y(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -k - 4, -2*m - m + 8 = -2*k. Let u = -2 - -5. Solve m = u*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/18 and 67\/750.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/((z\/z**1)\/z))\/z*z)\/z)**(-50))**(-8)*z**(1\/5)*z**(-3\/10)*((z\/(z**0\/z))\/z*z)**3 assuming z is positive.\nAnswer: z**(4059\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1 (b) -17.36 (c) 0.02 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-1)\/((-5)\/(-1355)). Suppose -275 - j = -8*t. What is the greatest common divisor of t and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-15 - (0 + -7 + 31 + -5)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (0 - -19) + (-2084 - -2002)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2410a (base 11) to base 14\nAnswer: -c933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25099 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and -12.72?\nAnswer: 12.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times 2635\nAnswer: -685.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -128*s**5\/23 + 224*s**4 + 1228382*s**3\/23 - 32278828*s**2\/23 - 3086366208*s\/23 + 32824442880\/23 = 0.\nAnswer: -64, 10, 633\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4 (b) -0.3 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -6249.\nAnswer: -6249, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -4*x, 8*v - 8 = 5*x + 4*v. Suppose u - 2 = x, -n + u = -0*n + 5. Let h be (-2)\/(((-3)\/(-2))\/n). Solve h*w - 15 = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 293*f**2 + 2746*f**2 + 302 + 5115*f**2 + 971 wrt f.\nAnswer: 16308*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 - 1 - -5 - 19*-35?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48221.22 decades to years.\nAnswer: 482212.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/((-170)\/(-425)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 1067*a**2 + 271*a - 5702. What is the first derivative of k(n) wrt n?\nAnswer: 2134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*r + 239*r**4 + 2*r**3 - 88*r + 1 + 27*r + r**2 + 30*r to h*r**2 + x*r + g*r**4 + n + z*r**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 447732, 895544, 1343356, 1791168, 2238980, 2686792?\n\"Answer: 447812*y - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 4*u**3 + 0*u**3)*(u**2 + 2*u**2 - 10*u**2) - 4*u**5 - u**5 + 3*u**5 + (5 + 2*u**2 - 5)*(0*u**3 - 2*u**3 + u**3).\nAnswer: -18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + ((-3)\/4)\/(3\/13). Which is the nearest to x? (a) 2\/7 (b) 1\/6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9727967, -9727958, -9727949, -9727940, -9727931, -9727922?\n\"Answer: 9*q - 9727976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.63 + -0.37. Let s = -34.21 - k. What is s rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000078777 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 1.2 (b) 1 (c) -0.3 (d) 8 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 51\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -1\/15*j**3 + 0*j - 9 - 3\/10*j**2. Find y such that d(y) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 1:08 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1135 - 1135.1. What is the second smallest value in w, -0.08, -0.26?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 555.5931 millennia?\nAnswer: 5555.931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325 and 4975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - z + 3*z**3 + 2*z**2 - 1 - 6*z - 1 + 2*z as q*z**2 + o*z**3 + t + j*z and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -t, -19*u + 21*u + 20 = -3*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30 (b) 178 (c) -8\/7 (d) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 38 + 11 - 3*s.\nAnswer: -3*s - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(-5\/6)*q)*q*q**6)**(-5)\/((q\/(q**0\/q))**(-41\/5)\/((q**(-6)*q)\/(q**(-4)*q))) assuming q is positive.\nAnswer: q**(-443\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67186 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -21.\nAnswer: 41\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 19*i + 0 - 6 + 12*i - 22 + 45. Determine o(-5).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + 4*y**5 - y**5 + 3*y**5 - 4*y**5 + 3*y**5 + y**5 + 2*y**5 - y**5 + y**5 - y**5 - y**5 + (-2*y + 2 - 2)*(y**2 - y**2 - y**4).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1684881 = -5*n, 112*o = -4*n + 113*o + 1347912. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g + 80. Calculate j(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137888 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 62\/23, 6\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 6:57 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82667271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -16a52?\nAnswer: -16a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*x**2*z + 289*x**2 with respect to z.\nAnswer: -94*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x - 8. Let i(f) = f. Give a(d) - 3*i(d).\nAnswer: 3*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2450000*b**3 - b - 1. Let v be p(-1). Round v to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 y, and 1 n when four letters picked without replacement from ninhghnjyihy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.169603757 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:22 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -802176 divided by 200544.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 3*b + 2*b)*(1 - 11 - 6) - 25*b + 36*b + 30*b + (b + 3*b - 5*b)*(-3 + 5 - 4) in the form q + f*b and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98397013 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.59, 2, -3, -0.1 in ascending order.\nAnswer: -8.59, -3, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f. Solve 2*x + f*x = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 261.\nAnswer: 4\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l = 68*l + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 151 (b) 1 (c) -5 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 7*p**2 + 11*p - 9. Let f be w(8). Let z(h) = -h**3 + 15*h**2 + 18*h + 17. Let d be z(f). Let i = d - 96. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 67 - 83 = 0. Suppose 43 = 2*o + g. What is the lowest common multiple of (-2)\/((-4)\/234*3) and o?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxcq when four letters picked without replacement from ctrrqcrcrqrxqcw?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(2\/9)\/p*p)*p**0)\/((p**(4\/7)*p)\/(p\/(p**7*p))) assuming p is positive.\nAnswer: p**(-554\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/7 + 1549*k**2\/7 + 21869*k\/7 + 20319\/7.\nAnswer: -(k - 1563)*(k + 1)*(k + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*a - 6760 + 296 = 0. Let y(n) = n**3 - 19*n**2 + 47*n + 14. Give y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 18. Let t be l(4). Let r(q) = -3*q**3 - 2*q**2 - q + 2. What is the tens digit of r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*r**4 + 2*r - 9 - 2*r - 43*r**4 wrt r.\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -191, -282, -365?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1286 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 41. Calculate the common denominator of 3 + (-3 + 41\/(-2))\/z and -53\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13718179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 4 + -4 + 3. Suppose -2*h = -1 - 1. Let q be (3\/21)\/(h\/(-2)). Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from umu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {q: 1, z: 9, t: 1, g: 1, j: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -10*u**3\/27 + u**2\/3 + 4*u\/9 - 31. Factor y(x).\nAnswer: -2*(x - 1)*(5*x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3717 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -884, -1754, -2628, -3506?\n\"Answer: -2*k**2 - 864*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 4\/5, -4\/5, 2821.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 3, h: 3}. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:09 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 6. Suppose -n - r*f = n - 35, -5*n + 2*f = -44. Let c be (12\/n)\/((-4)\/(-100)). What is the highest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 15*w**2 + 2*w - 22. Suppose -25*h + 37*h - 180 = 0. Determine o(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1 - 2 - 4 - j - 2. Let d(g) = 3*g + 20. Suppose 2*h - 11 - 23 = 0. Calculate h*q(r) + 6*d(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.994 - 24. Let h = 0.0417 + x. What is h rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12721, -25444, -38169, -50896?\n\"Answer: -d**2 - 12720*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 17\/4424?\nAnswer: 17\/4424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 11*p - 43. Let q be r(4). Let g(z) be the first derivative of z + z**2 + 3*z - 5*z + 1. Calculate g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89648.5 millilitres?\nAnswer: 89.6485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15729 * 1.2.\nAnswer: 18874.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (95\/30 - 4) + (-1)\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1563*k - 64797. Give g(41).\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31862 and 103.\nAnswer: 3281786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 7. Suppose 4*a - 5 = 11. Calculate the smallest common multiple of 1*24 - (22 + -22) and n(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Let y = -0.031 + -0.169. Which is the nearest to l? (a) 0.2 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 2*d**2 - 382 + 558 - 100.\nAnswer: 2*d**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2073245 * 0.5\nAnswer: -0.10366225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 9 + 47 - 96.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 426, 472, 536, 612, 694, 776?\n\"Answer: -y**3 + 15*y**2 + 8*y + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(175) + sqrt(175))**2 - (sqrt(175) + (sqrt(175) + 1 + -3)**2) - (5 + 1 + (0 + sqrt(175))*6)) + -2.\nAnswer: -15*sqrt(7) + 8388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110436, 219237, 328038, 436839, 545640?\nAnswer: 654441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 386?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 + -1?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/115334 and -17\/9626.\nAnswer: 555102542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 102743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -576*a**4 + 55844448*a**3 - 791015428*a**2 + 130672480*a - 5428528 = 0.\nAnswer: 1\/12, 14, 96938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6718?\nAnswer: 2, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217166 is divided by 55.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-1))\/(16\/(-200)). Let f be (-40)\/t - -2 - (-54)\/(-10). Let b = f + 247. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(4*sqrt(175) - sqrt(175)) + 0).\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*q**2 + 40*q - 40*q + 45*q**2 - 139*q**2 + 52*q**2.\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1539)*-1 - (0 + sqrt(1539) + 0)) + 0 - ((sqrt(1539) - (-1 + sqrt(1539) + 2) - sqrt(1539)) + -5 + 3))**2.\nAnswer: -18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/12 + 105\/4. Let i = -26 + m. Let j = 2.82 + -5.82. Which is the biggest value? (a) -0.6 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 5*q + 33 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1379\/(-1182))\/(8\/32)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16492 = 808*t - 1397*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4347)\/(-126))\/(3\/2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98684951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21333322102 (base 4) in base 6?\nAnswer: 132102334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139510 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-2))\/(-1 + (-3)\/(-12)). Let i be 1839\/o + 4\/(-8). Let h = 1427 + i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 8*q**5 + 42156210*q**4 - 115929620*q**3 + 94851520*q**2 - 10539060*q - 10539058 = 0.\nAnswer: -5269529, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, l: 1, t: 1, h: 1}. Give prob of sequence bbhl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8253 and 2205.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(1\/4)\/f))\/f*f)\/f**(4\/3)*f**2\/f**(-5))\/((f**(-1))**(4\/7)\/(f*f**(-1))**35) assuming f is positive.\nAnswer: f**(671\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -3*t - 4*q, 6*q = -5*t + q + 190. Calculate the highest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 1. Let c be ((-10)\/n)\/(66\/27). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 8*x**2 + 7*x + 15. Let d be k(-6). Calculate the greatest common factor of d and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 53219174 = -5*r, -4*r + 0*t = -t - 42575334. Let l = -58254965 - -89211131. Suppose -l = -4*z + r. Round z to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 338\/3 - 2\/(-6). Suppose -u = -2*i + 1. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 4 + (2 - 2 - 2)*(-5 + 6 + 3) + 1 + 0 - 2)*(-35*j**2 + 11*j**2 - 29*j**2) in the form s*j + h + o*j**2 and give o.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjtjfcjvfltj. What is prob of sequence jjvt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 664537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/27 and ((-4)\/60)\/(1\/(-22)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -37 (c) 55 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(684)*2*1 + 2.\nAnswer: 7 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -20. Let d = 6 - q. Let k = 0.096 - -0.004. Sort d, k, -1 in descending order.\nAnswer: k, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**3\/3 + 3*b**2\/2 + 14*b. Let z(a) = -9*a**3 - 1. Let g be z(-1). What is the units digit of y(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/213239 and 1\/14899.\nAnswer: 67596763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -414*p**3 - 76 with respect to p.\nAnswer: -1242*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -88*a - 85*a - 2 + 6*a**2 + a**3 + 176*a. Let l be (1 + 0)\/((-2)\/10). Calculate k(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-217567\nAnswer: 1087835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74 + 18 + 11 + 17)*(19*n + 14*n - 21*n) to v + i*n and give i.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11252000 to the power of 1\/2, to the nearest integer?\nAnswer: 3354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1734082684 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/22)\/(-24)*(-44)\/552?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 646 (b) 2\/7 (c) 3 (d) -2 (e) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 62. Let c = 9121\/6 + -1521. What is the smallest value in -0.3, -0.5, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(20)*2)\/sqrt(10) - sqrt(2) - (sqrt(2) + (sqrt(32) - (sqrt(32) - 2*sqrt(32)))))*-6 + 5.\nAnswer: 5 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one sixths of a week?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from uuoououuouuuuuuuuuu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:45 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 23*n**2 - 35*n - 19. Let r = -398 - -387. What is the units digit of l(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 2*w - 3*w + 9*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 17. Let o be r(-7). Let v be (-2 + 0\/o)\/(-1). Solve -4*y = -d - 4, -3*d + 0*d + v = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 43*t**3 - 4*t**2 - 5*t + 7. Let g(n) = 43*n**3 - 3*n**2 - 4*n + 7. Let u = -86 - -89. Let f(r) = u*b(r) - 4*g(r). Is f(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from oppoipipoippppioi.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*v = -4, 6*i - 12*v + 16*v + 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 214\/6 + (-8)\/(-24). Suppose -i + 4*k + p = 2, -147 = -5*i - 3*k. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 9*f + 7. Let q be s(11). Let b = 29 - q. Find the second derivative of -2*i + i**2 - 15*i**2 + b*i + 3*i wrt i.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13357973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.09394, -1\/7, 17, 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-410)\/65)\/((-308)\/1001). Which is the closest to -2\/7? (a) q (b) 4 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202212210021 (base 3) to base 7.\nAnswer: 3331153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.2 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w**2 + 0*w)*(-6*w + 6*w - 4*w**3).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1465 - -3?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -3. Let u be 1\/(((-3)\/a)\/(-7)). List the prime factors of (u\/(-21))\/(1\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5*h - 12022812*g**3*h - 4*g**2 - 1848116*g*h wrt g?\nAnswer: -60*g**2*h - 72136872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-3)*(-4)\/238*-1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m - 19*m + 2*l + 180, -3*m - 5*l = -108. Let q(i) = 69*i + 3. Let n be q(1). Calculate the highest common factor of n and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(7\/8)\/d)*d*d*(d*(d\/d**(-6))\/d*d*d)\/d*d*d assuming d is positive.\nAnswer: d**(105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*i + 5*n + 78, i - 30 = -5*n. Let y be (-21)\/(-18) + 19\/(-6). Let r be y\/(-4) + i\/130. Do 1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**5*w - j**5 + 247*j**2 + 5*j*w + 4*j + 4*w - 8 wrt j?\nAnswer: -80*j**3*w - 20*j**3 + 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-12)*(-9)\/6. What is the biggest value in -0.1, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -56*h - 178. What is z(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 3:16 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1572*z + 835 + 1570*z + 814)*(4 - 4 - 2)*(3 + 2 - 3) to the form c + v*z and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -16\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from dglysgy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 891.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27140047 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 divided by 1?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 - 2*j - 1. Let b be m(-1). Let n be ((-3)\/b)\/(5\/(140\/(-6))). What are the prime factors of (-18 + n)\/((-2)\/31)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 23 - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 51*p**2 + 460*p - 706. Calculate f(-59).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17228, 17220, 17208, 17192, 17172?\nAnswer: 17148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + 4 + -2. Let m be 4\/6 - 355\/(-12). Let z = -29 + m. Is z <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63*w**2 - 83*w + 14344?\nAnswer: -126*w - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.2. Which is the closest to 0.5? (a) g (b) -3\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3350700 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15533 + 15533. Let c(r) be the second derivative of -9*r - 3\/2*r**3 + 5\/2*r**2 + 1\/12*r**4 + o. What is c(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86948948?\nAnswer: 2, 17, 139, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -11, 0.003, -1, -0.1 in descending order.\nAnswer: 3\/5, 0.003, -0.1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -668800 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-2)\/56*2. Let t = -688 + 695. Put t, p, -1\/10, 2\/3 in decreasing order.\nAnswer: t, 2\/3, p, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13764, 95, -3\/14, -0.4?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/7 (b) 0 (c) 1\/2 (d) 0.2 (e) -737\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43.8 - -8.2. Let b = 52 - n. What is the second biggest value in -2\/9, 1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9945049?\nAnswer: 9945049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 10 - 42 = 0. Let f be (-14 - 2)\/(3\/(-30)). What is the greatest common divisor of f and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3745.258kg in milligrams?\nAnswer: 3745258000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230004*w**3 + 264998*w**3 + 560146*w**3.\nAnswer: 1055148*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*w + 444 - 229, -v + 127 = 3*w. Calculate the greatest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2194 (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*b - 1 + 210*b + 1 + 201*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/13 and 37\/1391.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 1 d when three letters picked without replacement from ddmmpq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 150 = 241 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 511983765 from -2.84.\nAnswer: -511983767.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 9*f - 14. Calculate x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 v, and 2 m when four letters picked without replacement from {m: 3, v: 3, e: 6, q: 5}?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 202661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-8)\/(-4)) - (8 - 11). Let m(a) = -5*a - 5. Let l(d) = -5*d - 4. Suppose 10*p = 5*p - 25. What is b*m(f) + p*l(f)?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (sqrt(52) + 4 - sqrt(39)\/(sqrt(6)\/sqrt(2))).\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26.414201 from -29.\nAnswer: -2.585799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -21. Suppose 10 = -q*d + 7*d. Let h(a) = -a**3 + 2*a**2 + 3*a - 4. Let k be h(d). Calculate the highest common divisor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105263.42 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45198364 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 221144259 a multiple of 3163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, z: 1, u: 7, l: 2}. What is prob of sequence zul?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 30*h - 3. Determine b(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -672, -1508, -2678, -4182?\nAnswer: -6020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 16 = r + 1, -3*m + 4*r + 23 = 0. Solve m*s = 5*g + 1 - 6, 3 = 3*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.6. Suppose -3*j - 2*j + 25 = 0. Let d be 2\/2 - (j - 18\/5). What is the closest to d in 4, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k**2 - 2*k - 1. Let h be w(-1). Suppose -4*r = -h, 0 = -5*i + r - 2*r + 163. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-53 + 358819\/6766) - 4\/(-26)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 3, 4*j - 4*q = 4*q - 5*q - 3*q - 3*q - 105 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 15, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5137.292 micrometers in kilometers?\nAnswer: 0.000005137292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/85799 and -7\/433.\nAnswer: 37150967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 55*d**4\/2 - 11*d**3 + 80. What is the third derivative of t(v) wrt v?\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (462\/(-2618))\/(4\/(-34)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -0.022, -0.2 in increasing order.\nAnswer: -0.4, -0.2, -0.022, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 22. Which is the biggest value? (a) m (b) 3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 3*o - 9, 0 = 5*t - 4*o - 11. Is 5 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*n - 74, 5 = b - 0*b. Suppose n = 2*r - 4*r + 4*d, 5*d - 8 = -2*r. Let u(x) = -x. Let f be u(r). Solve 16 = 2*m + f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -790 and -144704\/183 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -0.5028776 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 - 25)*6\/(-36). Let z be -2 - (0 + 1)*-3. Sort l, z, 6, -4 in increasing order.\nAnswer: -4, z, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/(-45))\/(2\/(-20)). Let d be (-8)\/j + 1 + 28. Calculate the greatest common divisor of d and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 19*z**3\/3 + 19*z**2\/2 + 103*z - 26. Is m(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*q - 4 = 0, -4*f + 5*q - 4*q + 1 = 0. Suppose 4*z + f = -3*m, 0 = -m - 3 - 0. Suppose -l - 3 = -z*l. Are l and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/6 - 4255*r**3\/3 - 3397729*r**2\/2 + 60204446030*r\/3 + 100098600299618\/3.\nAnswer: (r - 6449)**2*(r + 2194)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 38717744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f**2. Suppose -11*b = -10*b. Let j(c) be the second derivative of c**3 + 25*c + b*c**3 - 2*c**3. Calculate j(h(m)).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35.95, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87006, -174013, -261020, -348027?\n\"Answer: -87007*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 11*g**2 - 11*g - 10. Let r be q(-10). Let b be (r + 0)\/(1 + -2). Solve 3*u + 1 + 8 = b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3311 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 1. Let w(r) = 4*r + 5. Let g(k) = 2*u(k) + w(k). Let b be g(-6). Suppose -4 = -v - 1. Sort b, v, -1.\nAnswer: b, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1197, 2095, 2993, 3891, 4789, 5687?\nAnswer: 6585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -15 - 12*b - 2\/9*b**3 + 19\/3*b**2. Factor l(y).\nAnswer: -2*(y - 18)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10374 is divided by 546.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/(231\/990).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35966980 plus -933?\nAnswer: -35967913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195735?\nAnswer: 3, 5, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i, -5*i = 2*u - u - 1. Which is greater: -6\/17 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*d + 1086 - 792 = 3921. What is the remainder when 2603 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m = 144080 - 144680 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffnaana. Give prob of sequence nf.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose i*s + 5*v = 31, -4*s = 5*v - 28 - 39. What is the remainder when (s\/(-15))\/(6\/(-460)) + -1 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*x - 764*x + 186*x + 175*x + 187*x.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 6 - 30. Let o = 13 - w. Suppose 0 = -c + 6*c - o. Which is smaller: c or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1752 and 14\/27.\nAnswer: 15768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 302559 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 5677, 0, -34 in decreasing order.\nAnswer: 5677, 0, -1, -12, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 24634 = -4*s, 0 = 3*s + 5*w - 2*w + 18486. What is s rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*f - 2, -2*f = -7*f + 10. Suppose -z*p + 3 - 1 = 0. Let d(n) = -3*n + 0*n + 0*n. What is d(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r. Let i(w) = -10*w**2. What is i(b(s))?\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 782 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 30. Let d = 4 + 1. Let t(b) = -b + 4. Let w(f) = -f + 3. Let p(u) = d*t(u) - 6*w(u). Let i(v) = 6*v + 10. Determine n*p(o) + 2*i(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 150919, 150893, 150867, 150841?\n\"Answer: -26*l + 150945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-45)\/(q\/(q*(q**(2\/5)*q)\/q))**(-36) assuming q is positive.\nAnswer: q**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 3*v**5\/20 - v**4\/3 + 3*v**3\/2 - 5*v**2 - 277. Calculate g(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 14*q + y - 117 = 0, 2*y - 4 = 0. Solve -q*z + 3 = 118 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 - d**2 + 12*d + 2. Let v(p) = 11*p**3 + 3*p**2 - 34*p - 6. Calculate -17*j(w) - 6*v(w).\nAnswer: 2*w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 127, 80, 33, -14, -61?\n\"Answer: -47*i + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77629 and 7815?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 22, 15, 0, 213, 4 in decreasing order.\nAnswer: 213, 22, 15, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 6*d**2 - 34 + 137*d**2 - 92.\nAnswer: 143*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 11:07 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/7)\/w*w**1*((w**0\/w)\/w)**(1\/2) assuming w is positive.\nAnswer: w**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1060 + -10?\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 - 281*o + 252. Let c(r) = 13*r**2 - 835*r + 756. Let f(b) = -4*c(b) + 11*y(b). Factor f(d).\nAnswer: 3*(d - 1)*(d + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 3776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -117 + 33. Suppose 2*w + 2*h + 9 = h, -w = 2*h + 12. What is the units digit of (2 - d\/(-1))*w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*a - 37 = 0, 2*u - 5*a + 109 = 5*u. Calculate the remainder when 91 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssa. What is prob of picking 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 + (-3 + 3)\/(0 + -1) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307006.137 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 3. Let q = -2 + 4. Suppose q*z = z. What are the prime factors of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, w: 7, b: 3, i: 8}. What is prob of sequence wzb?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5\/3 - 138*t**4 - 13088*t**3\/3 - 45000*t**2 - 396032*t\/3 - 116736 = 0.\nAnswer: -171, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/14700*245 - (-2)\/(-5).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -415 - -5385\/13. Let a = 2 + -2. Which is bigger: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -149 + 162 - (5 - (3 - -4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74 - 119*x + 7*x**2 + 23*x**2 + 121*x wrt x?\nAnswer: 60*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*l**4 + 69*l**4 - 36*l**4 - 3*l**3 - 119*l - 25*l**2 + 22*l**2 + 4*l**3 to the form i*l + n*l**4 + r*l**3 + c + x*l**2 and give i.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 737550 and 2?\nAnswer: 737550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2\/9 (b) -67330 (c) 0 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**3 - 4968*i**2 + 702642*i + 21767668.\nAnswer: 2*(i + 26)*(2*i - 647)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 316\nAnswer: 3\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*k**5 - 5*k**4*s - k**2*s - 287*k**2 + k*s wrt k?\nAnswer: 3060*k**2 - 120*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + n + n. Let h(y) = -7*y + 6. Let w(z) = 6*z - 5. Let j(t) = 5*h(t) + 6*w(t). Determine j(u(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - q - 5 = 4*q, 0 = -3*q - 12. Solve -4*f + 4*r = -37 + w, 5*r + 31 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8030723 plus 807?\nAnswer: -8029916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(o + 2*o - 7*o)*(1016334 - 1016334 - 2272*o).\nAnswer: -9088*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (51\/5 - -3)\/(18\/240)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(3\/(-3) - 0). Let h = -2 + u. What is the third derivative of -3*t**2 - 2*t**h + 7*t**2 - 2*t**6 wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.1. Let c(w) = w**2 - 7*w + 1. Let g be c(-4). Let i = 131\/3 - g. What is the nearest to y in -2\/15, -4, i?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*b + 1402 - 4574, 0 = a + 3*b - 785. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75532 divided by -37766.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*l - 10 - 28, 5*r + 3*l = 62. Solve 0 = 2*y - 0 + r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**3 - 4*q**2 + 4*q - 7. Let p(r) = -5*r**3 - 3*r**2 + 3*r - 7. Let d be 91\/(-13) - (-10 + 7). Give d*p(l) + 3*z(l).\nAnswer: 2*l**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4205*a**3 + 595336070*a**2 + 82115260*a + 2831560.\nAnswer: 5*(a + 141578)*(29*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113586218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1380, -1379, -1378?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74*0.2024.\nAnswer: -14.9776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 472?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:58 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110405 - 3015?\nAnswer: -113424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1216*j. Let c(d) = -2*d**2. What is x(c(u))?\nAnswer: -2432*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -47933 (base 11) to base 8\nAnswer: -206616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*f = -4, -f = 1 - 3. Let j be (1\/(-2))\/(715\/240 - 3). Let v = j - 20. What is the greatest common factor of g and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.965? (a) 2 (b) 3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 233*f**2 - 1357*f - 1133. Determine b(227).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - -7.7. Let n = s + -7.6. Which is the second biggest value? (a) -12 (b) n (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/105 + 0 - 3858\/(-13503)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*s + 2382*s**2 + 199*s - 2372*s**2 + 229*s.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -0*x + 5*x. Suppose 71 = -4*w + 7. Let z = w - x. Solve 2*d - 5*s + 13 = -18, 0 = -2*d - z*s + 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*t + 244*t + 27265 = 10*t for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 2, a: 1, j: 3, t: 1, x: 4}. Give prob of picking 2 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((1*sqrt(76) - sqrt(76))*-6)\/(sqrt(4) - sqrt(16)*2) - 4*((-2 + sqrt(19))*2 + -2)).\nAnswer: -24*sqrt(19) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -0.3, 4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b + 60. Let q be f(-5). Suppose 0*y = q*y - 180. Let z(w) = -w**3 - w**2 + w + 4. Let v be z(0). Solve 7*s + y = v*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1158*a - a**3 - 240*a - 1811*a as z*a**3 + d*a + c + w*a**2 and give d.\nAnswer: -3209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.1 (b) -0.002 (c) -1\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227316?\nAnswer: 2, 3, 19, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3436 (base 7) to base 6.\nAnswer: -5444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 74460750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3\/2 - 15565*g**2 + 1246841*g\/2 + 638985 = 0?\nAnswer: -31170, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - 5*l)*(-3 + 0 + 2 - l).\nAnswer: 5*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3)\/8*(-90)\/3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8758 - 8757.7. What is the third smallest value in 0.0639, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/15 + 8314*c\/15 - 122276 = 0. Calculate c.\nAnswer: -4367, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.070417 * -4.\nAnswer: 0.281668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44828890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 + 24*b + 20. Does 20 divide j(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 26 = -12*c + 20*c. Suppose -4*b = -6 - 10. Let t = b + -4. Sort t, 1, -5, c in ascending order.\nAnswer: -5, c, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4*p - 24 = -t, 2*t + 14 = -4*p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3329494 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 7*r - 6*u + 221 = -4*r - 7*u, 0 = 2*r - 99*u - 209 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 - 1109*s**2\/5 + 184184*s\/5 + 74237744\/5.\nAnswer: (s - 644)**2*(s + 179)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -92. Suppose 4*i - 7*i - 1175 = -4*b, -2*b - 1574 = d*i. Let y = i + 682. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43622 divided by 1199?\nAnswer: 43622\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 5*s**3 - 2*s)*(-68 + 22 - 118) as p*s**2 + l*s + r*s**3 + y and give r.\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 4)*(-2 + 1)*-3. Suppose 4*r + o*f - 2*f = 10, 2*f - 6 = -r. Solve -2*h = g - r*g - 12, -g = -4*h + 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**2 - 327*j - 329. What is c(-40)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.864691 rounded to 1 decimal place?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (sqrt(272) - -1*sqrt(272))*1 + 2*(sqrt(272) - ((sqrt(272) + -2 - sqrt(272)) + sqrt(272))))**2 - (-3*sqrt(272)*3 + (4 + -3*sqrt(272))**2).\nAnswer: 228*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 4*m - 5, 16*x - 2*m + 8 = 18*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-3)\/(-18)) + -4. Suppose 0 = s*o - 37 + 7. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73, 72, 69, 64, 57, 48?\n\"Answer: -p**2 + 2*p + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81 in 1\/3, 1\/13, -5, 1\/2, -8\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -14\/15, -1\/8, 0.1, -18 in increasing order.\nAnswer: -18, -14\/15, -2\/3, -1\/8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32968517 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 769 + 110. Suppose -2*p = -4*z - 6*p + 1192, -2*p - r = -3*z. List the prime factors of z.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) 1\/7 (c) 25 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.600023 + 2.6. What is t rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1563.34 times 0.49\nAnswer: 766.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (163 - 4 - 2)\/(-1) - -2. Which is smaller: a or -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 1\/24*t**4 + t**2 + 1\/40*t**6 + 0 - 4*t + 1\/60*t**5 + 0*t**3. Let m(f) be the first derivative of q(f). Determine m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/4*(-234)\/(-39).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13 + 35 + 1\/(4\/20). Solve -3 + 3 = g*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -6*c**4 + 320*c**3 + 1292*c**2 - 2176*c + 570 = 0.\nAnswer: -5, 1\/3, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4763495 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q**2 + 1687*q + 179776. Let p(i) = 3*i**2 + 422*i + 44944. Let h(m) = -9*p(m) + 2*x(m). Find n such that h(n) = 0.\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f. Let y(c) = -14613*c. Determine y(a(r)).\nAnswer: -116904*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggaggssgg. Give prob of sequence ss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 4 - (-2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8508 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 2\/5, -9, 39\/46 in ascending order.\nAnswer: -19, -9, 2\/5, 39\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28530 by -317.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foouuuuuuutnuftouutt. Give prob of picking 1 n and 2 u.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -51. Let r(a) = -a**2 + 11*a - 12. Let y be r(9). Suppose -y*w + g*w = -822. What are the prime factors of w?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/11 - 922*b**4\/11 + 3676*b**3\/11 - 3672*b**2\/11.\nAnswer: b**2*(b - 918)*(b - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-2*f + 4*f - 5*f) - 19*f - 4*f - 4*f + 18 - 3*f - 18 - 3 + 3 - 2*f + (-3*f + 3*f - 2*f)*(-2 + 3 + 0) + 3*f + 0*f - f.\nAnswer: -41*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*u + 6 = 0, 2*r + 22 = 3*r - 5*u. Solve 2*m + 5*y = -m + 15, -5*y + 15 = -r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -8. What is the nearest to 1\/4 in p, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 5*d**2 - 6*d + 3. Let f be g(-6). Suppose f*n = -5*n + 4*n. Solve n = -b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 1, y: 1, j: 1, i: 2, z: 1}. Give prob of picking 1 j and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d6d (base 15) to base 12.\nAnswer: 3857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 4*w**2 - w. Let g be n(-4). Differentiate -5 + g + 2 + d**3 with respect to d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqsxaza. What is prob of sequence qxa?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11768 - -11784. Suppose 0 = -u - 3*t - 4, 4*u + 3*t = 2*u + 4. Calculate the greatest common factor of j and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4415, 3861, 3307, 2753?\nAnswer: 2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28418, 28419, 28420, 28421, 28422, 28423?\n\"Answer: f + 28417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 29*h**2 + 34*h - 39. Let n be k(1). Solve -9*b = -3*b - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 3*d**3 - d**3 + (2*d**2 - 2*d**2 - d**2)*(-1 - 2*d + 1) + (-2*d - 2*d + 6*d)*(-19*d**2 + 14*d**2 + 20 + 8*d**2).\nAnswer: 9*d**3 + 40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 4. Suppose -2*i + 4*i - 7 = -3*b, -3*b = 5*i - 13. Suppose i*h = h + 1. Is r equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 8*y + 9. Let w be c(-9). Let t(k) = k**3 - k + 2. Let m be t(w). Solve 3*f + 7 = m*f + l, 5*l - 14 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1059*s**3 - 2 + 1077*s**3.\nAnswer: 18*s**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/(-44)*-12 - 31\/32 and 1\/(20\/31) - 0?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.076*-133.\nAnswer: 2271.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(405) - (sqrt(405)*-2 + 4)) + sqrt(405)*-3 + 1))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49200097*f**2 - 2270*f - 21614 wrt f.\nAnswer: 98400194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 444 - 12880\/29. What is the smallest value in 4, 7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21010210 (base 3) to base 10\nAnswer: -5205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**2 + 7*g - 1. Determine o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t. Let i be (20 - (-484)\/(-22))*(-5)\/(-20). Which is the closest to t? (a) 0 (b) 2\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 253 = 4*g. Suppose -5*d - 4 = -6*d. Solve -1 - g = d*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from dwe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 + 0*j**4 - 4*j**4 + (-j**2 - 4*j**3 + j**2)*(3*j - 3*j - j) + 2*j**4 + 3*j - 3*j.\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.93 + -0.73. What is the smallest value in 0.3, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 w when three letters picked without replacement from zzzwwzzzwwbzbw.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6546786 divided by 6.\nAnswer: -1091131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2779.546 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 415, 427, 459, 523, 631?\n\"Answer: 2*y**3 - 2*y**2 + 4*y + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4898 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/8*1304\/13692 + (-1)\/(-7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93974521 is divided by 50?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 95 + 481 = 2*g, 5*t - 2856 = -2*g. Is t a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/232*-344)\/(6\/(-6))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:12 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/15*12\/8. Let u = 35 - 33. Let a be (u\/(-4))\/((-6)\/(-12)). Is a less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 109 + -62 - 4.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9996.8 - 9996.799943413. What is x rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by -3 - (0 - -11)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 46*q + 390. Determine k(-18).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25723733 greater than 154342391\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/210 - 4*o**5\/105 + o**4\/42 + 4*o**3\/7 + 57*o**2. Factor c(m).\nAnswer: 4*(m - 3)*(m - 2)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/19)*d**(-2\/29))\/(d*d**(-15)*d**35))**(-36) assuming d is positive.\nAnswer: d**(399132\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1918.1 - -155652.1. Let y = k + -153733.100004. Let o = 0.9 - y. Round o to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7704*l**2 - 1 - 7715*l**2 + 15416*l**2 + 6.\nAnswer: -3*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 + 5)*(-3)\/(-2). Let z(d) = -d**3 - 10*d**2 - 8*d + 11. Let g be z(l). Suppose g*w + 4*a - 46 + 16 = 0, 4*w - 110 = 2*a. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -30. Let f be 40\/s*3 - -2. What is the greatest common factor of f and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*r = -2*w + 84555, 2*r - 28194 = -w. Let i be (2466\/w)\/((-4)\/3234). Let m = 2110\/29 + i. Calculate the common denominator of m and -53\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103983, 103918, 103755, 103446, 102943?\nAnswer: 102198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003324839 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -3*b - 4*h - 45, 0 = -4*b - 2*h + 244. Let k = b + -1. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/9, -0.1, 1\/12, -4\/7, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 bigger than -25147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86.41 - 0.41. Let i = -81 + s. Let x be (-3)\/(9\/(-7)) + -4. Put 0, x, -1\/2, i in descending order.\nAnswer: i, 0, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119 >= 46793\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Suppose -5*x - r = -24 + g, 0 = -2*r + 10. Calculate the least common multiple of x and (2\/(-3))\/(8 + 1596\/(-198)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 878154 + -1709766004\/1947. Let i be 4 + 768\/(-177)*1. Let q = m + i. Find the common denominator of q and 80\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 11*j - 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.860895cm in nanometers?\nAnswer: 98608950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31768*o**2\/9 + 31706*o\/9 - 62\/9.\nAnswer: 2*(o + 1)*(15884*o - 31)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(s + 0*s + 0*s) - 7*s + 3*s + 2*s + 17*s + 31 - 11*s - 5*s.\nAnswer: -2*s + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(1\/18). Let l(n) = -n**2 + 7*n + 1. Let b be l(o). Solve -3 = -2*u - b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3784 - 3758. Solve -k*i + 19*i = -28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 105. Let h be 2\/(-6) + 427\/v. Let n = 38 - h. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 10 = 0. Let z(q) = -q**2 - 8*q - 8. Let b be z(-6). Solve b*v = -18 - y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1164 - 569.8836. Let t = k - -568. Let d = 3.5 + -3. What is the nearest to 3 in t, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l - 2. Let n be a(3). Let t be n\/2 + (-12)\/24. Let u(z) = -8*z**3 - 5*z + 5. Let m(q) = 9*q**3 + 6*q - 6. Determine t*u(b) - 5*m(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 1, s: 2, m: 2, w: 1, t: 1}. What is prob of sequence twds?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*z + 4*h, 2*z + 2*z + 3*h = 39. Suppose 3*a - 2*a = 6. Solve -u = -2*f + a, -u = 3*f - 3*u - z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1810\nAnswer: 1\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 14*n)*(-2 + 3 - 2).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 68 = -88 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q - 40. Let x be 1\/4 + (-15)\/q + 198. Suppose -2*m + m + j = -191, -m - 3*j = -x. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38976 and 4548012.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -184a - 815?\nAnswer: -205f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1478413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (282030\/6636)\/((-25)\/40).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3536*f**2 - 3546*f**2 - f - 3546*f**2 + f + 10629*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/4)\/((-2834)\/(-1744)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -664 + 782. Is 588\/5 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84376.88ng to tonnes.\nAnswer: 0.00000000008437688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3 (c) -0.125 (d) 5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 smaller than -6566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 7. Let p be h(-5). Suppose 0 = 2*j + 3*t + 1, 1 = -2*j - 5*t - p. Let a be 15\/(-25) + ((-95)\/(-200))\/1. Which is greater: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:00 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 + -3)*38\/(-6) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from djljjjjdjajxjxaaj?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 575 = 5*m + o, -4*m - 381 = -5*o. Let t be m*3\/12*6. Let d = t + 199. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 times 0.3?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 + -3 + (1 - 1). Solve -2*v + 1 = w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1872*r + 1534*r + 212 - 108 - 104 to o + j*r and give j.\nAnswer: 3406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.676 + 1.7. Let a = -1.976 - c. What is the closest to 0.1 in 0.2, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 7\/4 (c) -0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1575 and 567?\nAnswer: 14175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8390*d - 167798. What is m(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8682389 is divided by 243?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -15*u**3 - 2*u**2 + 2*u. Let v be a(-2). Suppose 4*l + 4*m = 12 - 0, -15 = -5*l - 2*m. Suppose -w + v = l*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 + 224972*d**2\/3 + 274412270*d\/3 + 83231156800\/3.\nAnswer: -2*(d - 113696)*(d + 605)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 + 525\/4. Suppose 0 = 5*g - 2*g. Is l not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = w. Let i be 10\/w*(-3)\/(-2). Let x(b) = -b**3 - 4*b**2 + 3*b + 6. What is the tens digit of x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22058.463252 + 0.08?\nAnswer: 22058.543252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by 1490.\nAnswer: 17\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7389, 26087, 56097, 97419?\n\"Answer: 5656*a**2 + 1730*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 1 (c) -0.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -557 + 400. Let k = -154 - m. Which is the nearest to 14? (a) k (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 6:30 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.4. Let n = 101\/273 + -10\/273. What is the smallest value in q, n, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100535d (base 14) in base 12?\nAnswer: -2639847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290 or 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:26 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a day in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -19. Which is the third biggest value? (a) -5 (b) i (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1139, 2246, 3335, 4406, 5459, 6494, 7511?\nAnswer: 8510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-6 - 6)) + -5 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wisstwwti. Give prob of sequence tt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.999752 + 61. What is z rounded to 5 dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -453, -897, -1341, -1785?\n\"Answer: -444*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143260?\nAnswer: 2, 5, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.7695911 + -3.488606. Let d = 58.319 - 58.6. Let o = m + d. What is o rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 85 + 43 = 0. Does 5 divide 51\/(-2)*q\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 + -5 - -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u. Let g(y) = 2*y - 154015. What is g(a(o))?\nAnswer: 6*o - 154015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f = -147*f - 288. What is the closest to -1 in 15, f, 6, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*k - 195*k - 14*k - 9730 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 111545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-2 - -19 - 4). What is the greatest common factor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -512 + 510. Sort m, 11, 3.\nAnswer: m, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -277*y + 2245. Does 13 divide j(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1536, 3110, 4696, 6300, 7928, 9586, 11280, 13016?\nAnswer: 14800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156609 - 32261527\/206. Find the common denominator of -39\/5 and w.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/2 - 23995*s - 239825\/2.\nAnswer: -5*(s + 5)*(s + 9593)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137599610 - -408946037213\/2972. Let o = 2\/743 - j. Which is the biggest value? (a) -3 (b) 1 (c) o (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4. Let y = h + 0.5. Let g = -1 - y. Sort g, -0.1, 2\/11 in descending order.\nAnswer: 2\/11, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 0*t**3 - t**3)*(-3 - t + 3) - 4*t + 20*t**4 - 16*t**4 + 2*t.\nAnswer: 5*t**4 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 13*o + 95, -3*s + 26 = -5*o - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1669864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23 - 0.212. Let h = 2.882 + z. Let p = -2.90008 + h. Round p to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -5, -4, -6, 5 in decreasing order.\nAnswer: 61, 5, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + k - 8. Let w(y) be the first derivative of -4*y**3\/3 + 2*y**2 - 24*y + 1. Let r(u) = -7*i(u) + 2*w(u). What is the units digit of r(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -11*r - 7. Let t = r - 8. Calculate the common denominator of 40\/17 and 3\/t - (-175)\/15.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1159 - -1167. Let o(l) = -10*l + 76. Give o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 155\/260 + 6\/39. Which is the second smallest value? (a) 0.2 (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 880 and 154?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27637755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 61*s**2 + 176*s + 47. Is i(65) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 7\/4, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267231?\nAnswer: 3, 281, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 8:13 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 6:39 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 49 - 33. Suppose 15*j - 10*j - 22 = r, 0 = -2*j - 5*r - b. Solve j*g - 5 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2. Let v(d) = -223394*d**2. Give k(v(w)).\nAnswer: -49904879236*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 27974 = 4*f - 84626, 3*c = -15. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526*i + 543*i - 442 = 0. What is the least common multiple of 39 and i?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 25313300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/3)\/(3\/((-36)\/(-10))). Solve 5*x = 3*w, -x + 28 = o*w + 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 32 - 12. Suppose -54 = -31*q + 4*q. Let s = -2 + -2. Sort 4, q, r, s.\nAnswer: s, q, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 2*a + a - 3 - 3*a + 3 + 2*a - 2*a + 2*a + (-2*a - 3*a + 3*a)*(-5 + 1 + 3).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825 = -b - 20*b - 34*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 34*d - 43. Suppose d = -5*q, 7*y - 10 = 8*y - 3*q. Sort 11, y, -1 in ascending order.\nAnswer: y, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l**2 + 0*l**2)*((-1 + 2 + 1)*(1 - 4 + 1) - 3 + 5 - 1 + 2 + 1 - 2).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4995 = -105*b + 752*b + 7945 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 38. What is the third derivative of 22*g**2 + 13*g**d - 3*g**6 - 32*g**2 wrt g?\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 12:06 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3818?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122023 - 313300?\nAnswer: -131211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30936 and 615.\nAnswer: -19025640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5944.304 decades in centuries?\nAnswer: 594.4304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/30 - c**4\/4 - 7*c**2. Determine s, given that w(s) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Let d = u - 5. What is the units digit of -6*1\/(d - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3*(-33)\/418. Which is the nearest to -2? (a) m (b) 0 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i. Let c = 66 + -73. Let j be (c - -9)*42\/(-4). Let w(x) = x. What is j*w(s) - 2*o(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:23 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2 = 2*l - 10, -4*y = 5*l + 36. Is 12\/48 + (-835)\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 120554286*w + 834617912?\nAnswer: 120554286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1046.1 - 1046. Suppose 0 + 4 = 4*x. Let f = x + -1. What is the smallest value in q, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 923*b*c**2 - b*c + 10393*c**2 wrt b.\nAnswer: 923*c**2 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 7*v**2 + 5*v + 8. Let k = -2 + 7. Calculate the remainder when k + -2*(-12)\/(-8) is divided by c(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from bfrbrrlryqqq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1195156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 80*w**3 - 140*w**2.\nAnswer: -5*w**2*(w + 2)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -15*o + 14*o + 20, -5*j - 10 = 0. Factor 66*c**3 - 33*c**3 - 38*c**3 + 45*c - o*c**2 + 70.\nAnswer: -5*(c - 2)*(c + 1)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65655 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/8 + 270105815*l\/4 + 72957151296814225\/8 = 0 for l.\nAnswer: -270105815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001489018 to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2589*h - 18. What is the thousands digit of d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 7:54 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -747 - -2248\/3. Suppose -4*o = -3*o - 3. Determine s so that -2\/3 + 11\/3*s + g*s**o - 16\/3*s**2 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -144. Let n = -63.9 - f. Let i = 6 + n. Which is the closest to -2\/5? (a) -3 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/108*9 + (3 - (-39)\/(-9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4313 - -735. Let v = -114569\/32 - f. Find the common denominator of v and 9\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2 + 0 + sqrt(99)*2*6)**2 + (sqrt(704)*-2)\/(sqrt(256) + sqrt(16)).\nAnswer: -4*sqrt(11)\/5 + 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -134*p**4 + 4*p**3 - 93. Let h(d) = -d**3 - 1. Let s be (-96)\/(-40)*10\/6. Let l(f) = s*h(f) + j(f). Differentiate l(o) with respect to o.\nAnswer: -536*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203523\/12524 - 2\/3131. Let q = 16 - j. Which is greater: -0.1 or q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 133 = -8*u + 38 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*d**3 - 36729*d + 323077 wrt d?\nAnswer: 30*d**2 - 36729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert c47 (base 14) to base 8.\nAnswer: 4557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 times 0.5?\nAnswer: 38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 22*q**2 + 4 - 7 + (0 + q + 0)*(4*q + 1 - 1).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510449 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.06 (c) -2\/15 (d) 483.6 (e) -5\/6 (f) -4\/7 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19196*s**2 + 1677*s + 38385*s**2 - 19196*s**2.\nAnswer: -7*s**2 + 1677*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r - 1. Let l(m) be the second derivative of 7*m**4\/12 + m**3 + 35*m**2\/2 - 13*m - 73. Calculate -6*a(q) - l(q).\nAnswer: -q**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-68\nAnswer: 54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 6*r**2 - 6*r - 2. Let i be d(7). Suppose -19 = 3*t + 4*h + h, -4*h = -i*t + 30. Let x = -20 - -30. Solve 0*g + t*g - x = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 2652?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731*f + 684*f + 70030 = 0. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*k**3*z**3 + 10*k**3*z**2 + 66*k**3*z + 3*k**2*z + k**2 + 2*k*z**2 - 4978*z**3 wrt k.\nAnswer: 72*z**3 + 60*z**2 + 396*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 d when three letters picked without replacement from {w: 4, d: 2, a: 10, h: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8990?\nAnswer: 2, 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6863\/510 + -59\/51. Let m = 535\/68 - -236\/17. Calculate the common denominator of o and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 226309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 518674 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, k: 2, u: 4, y: 3}. Give prob of sequence wu.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (12 - (3 - 1)) + -79 + 72\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*g**2 + 16*g**2 + 17*g**2 - 44*g**2.\nAnswer: -151*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*3*sqrt(1872) - sqrt(1872))**2 - (-1*sqrt(1872) + 3)**2) + ((sqrt(1872) + -3 + sqrt(1872))*3*-2)**2 + -4.\nAnswer: -5112*sqrt(13) + 809015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/9*(-9)\/(-12). Solve 5*v - c*t + 35 = 0, -9 = v - 3*t + 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -152*q**6\/3 - 693*q**4\/4 - 2*q - 2562. What is the third derivative of j(p) wrt p?\nAnswer: -36480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 12*b**3 + 56*b**2 + 6*b - 20. Let t be v(-6). Do -631 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7186117.\nAnswer: 43, 167119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -23. Let f = 22 - v. Which is the third smallest value? (a) f (b) -3\/5 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 3 + 55 + -46\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4833, -789, 5929, 15303, 27315?\n\"Answer: -3*w**3 + 1355*w**2 - 6185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -1 + sqrt(931) - sqrt(38)\/(sqrt(2) + sqrt(32)))**2.\nAnswer: -138*sqrt(19)\/5 + 90484\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -111, -107, -103?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2017.94 + 1870.069. Let m = 0.129 - u. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -72*b + 1052. Calculate the greatest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1513234*j - 1513234*j + 4*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 708769111.1 and 0.3.\nAnswer: 708769111.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5775882*j**2 + 31*j + 59378?\nAnswer: -11551764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*g + 63 - 71, 0 = s - 5*g + 23. Which is the nearest to -1.7? (a) -0.2 (b) -0.5 (c) s (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-48)\/(-15) - 3). Let v = -16 + q. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011100 (base 2) in base 14?\nAnswer: -35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f - 10*f + 2 - 3*f**2 + 4*f as b + a*f**2 + i*f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:09 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*9\/(-6)*((-18920)\/(-11715))\/86.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.4 - -6. Let c = -0.69 + -4.31. Sort c, -1, 0.4, i.\nAnswer: c, -1, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2502014 and -0.6.\nAnswer: 2502013.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 7 - 23) + 5 + -7 + 73?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9721\/156 - 848\/13. What is the common denominator of -121\/222 and y?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5*(-12)\/(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.024 - 0.024. Let b = -78 + 123. Let h be 1\/((-39)\/b) + 1. What is the nearest to t in 0.2, -0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*(w**(-1\/12)\/w)\/w)\/w)\/(w\/(w\/(w\/(w\/w**(-2\/3))))))\/(w**(3\/10)\/((w\/w**(3\/13))\/w)) assuming w is positive.\nAnswer: w**(-739\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s - 72*s + 27*s - 97*s.\nAnswer: -88*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.64555069 * -0.4\nAnswer: -0.258220276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 1 (c) 152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 - 1900\/7. Sort -20, 4\/5, -0.06, 0.1, g in decreasing order.\nAnswer: 4\/5, g, 0.1, -0.06, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982*d - 596 = -320*s - 986*d, -4*s = -5*d - 63 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 3011*t**6\/15 - 104*t**3\/3 - 5*t**2 + 226*t. Find the second derivative of m(g) wrt g.\nAnswer: 72264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 9:42 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8027037 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 20 - (-7 - 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l + 228*l**2 + 15*l - 226*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/(-12))\/((-9)\/(-60)). Suppose -22 = b - y. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/338024 and -5\/46872.\nAnswer: 63886536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Suppose 4*s - 3*g - 23 = 0, 29 = 2*s - 4*g - g. Suppose 0 = -s*u + w + 21, -2*w - 34 + 1 = -b*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*j + 7, -2*j = -2*m + 5 - 13. Solve m = 5*v + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(117) + 3*3*sqrt(117) + sqrt(117))**2 + -1.\nAnswer: -264*sqrt(13) + 14177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002308957 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*l - 7. Suppose -l*v - v + 8 = 0. Suppose -v*h = -3*h + 4. What is the smallest common multiple of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27416 is divided by 595.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 223 - 795 = -67*r. Solve -r*l = -8 - 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43.6 + 40.784. Let c = 0.8862 - v. Let t = -3.7 + c. What is t rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.036 + 0.059. Let q = o + -0.263. Round q to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35806416 and 67412.\nAnswer: 3548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 527 and 3349.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 314510832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*3)\/(-1*(sqrt(3) - -2*sqrt(3))).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/10539 and 56\/1217079.\nAnswer: 1425199509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:58 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**4 + 86325*h**3 + 30948*h**2 wrt h.\nAnswer: -48*h + 517950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + 0*l - 6*l)*(3*l**3 + l**3 - 3*l**3) - 267*l**4 - 102*l**4 + 7*l**4 to the form s + o*l**3 + p*l**2 + b*l + u*l**4 and give u.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-330)\/(-9))\/11)\/(1\/3). Solve -5*b + 4*o - v = -o, 0 = b - 5*o + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-12) - 1\/2. Suppose -t + 18 = 2*i, t = 3*i - 17 - g. Let w = 14 - i. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + g**2 + 7. Let n be k(0). What is the hundreds digit of (n - -29)*(-16)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**5\/230 + y**3\/69 - 44*y. Factor l(i).\nAnswer: -2*i*(i - 1)*(i + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 1, f: 5, b: 4}. What is prob of sequence fb?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48112666?\nAnswer: 2, 7, 1373, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -3) + (0 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 575, 1160, 1967, 2996?\nAnswer: 4247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.33997187 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55295.1 minutes to weeks.\nAnswer: 5.485625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z - 21*z = -37*z - 16808. Calculate the highest common factor of z and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(35\/(-15) - -2). Let b be ((-9)\/(-36))\/(n\/(-76)). Calculate the highest common factor of b and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from vxvvvwjvvxj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*b - 7, -y - 2 = -7. Solve -b - 1 = 2*v, 4*q = v + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.4 plus 4127?\nAnswer: 4199.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1*a)**(-2\/111)*(a*a*a\/(a\/(a**(-3\/2)*a)*a))\/((a**(-6)*a)\/a))**(2\/7))**(4\/7) assuming a is positive.\nAnswer: a**(820\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378.8229 centuries to years.\nAnswer: 37882.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -53, -137, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(2\/3)\/((c*c**(2\/13))\/c**(-4)))**(-27) assuming c is positive.\nAnswer: c**(1809\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.35\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 572191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w**3 - 2846*w**2 - 633*w - 190. What is p(-316)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -71, -61, -49, -35, -19, -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84616.22 rounded to the nearest one thousand?\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140556.08 or 1\/14?\nAnswer: -140556.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/20 - 2*z**4\/3 + 13*z**3\/6 - 2*z**2 + 2*z - 37. Calculate m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = -x - 3*b, -x = 4*b + 16. Suppose 5*t - 6 = 9. Suppose t*s = -g, s - 7 = -4*g + 4. Solve x*a + 34 = 5*n - 3*a, -9 = g*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51899 is divided by 51875.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 - 17*r**3 + 3359*r**2 + 153*r - 30150 = 0.\nAnswer: -67, -3, 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b + 201*a + 115 = 18*b + 206*a, 0 = -2*b + 3*a - 75 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -2 in ascending order.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 255*l**4 + 10*l**2 + 2*l - 272*l**4 - 2*l wrt l.\nAnswer: -408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4114 and 27207939?\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5736698l in millilitres?\nAnswer: 573.6698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + 1 + 4))*-1 - -1*(sqrt(475) + sqrt(19))*-6)**2.\nAnswer: -360*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 8*u**2 + 8*u - 5. Suppose -4*m = -5*m + 36. Calculate the remainder when m is divided by w(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r**3 + r**2 + r + 1. Let w be l(-1). Let d be (-6)\/(-21) - (-10)\/w. Let n = -0.289 + 0.289. Which is the nearest to d? (a) -5 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 + n. Let j(a) = -a. Let v(u) = -u + 5. Let m(h) = -2*j(h) + v(h). Let g be (-3)\/(-2) - (-143)\/(-26). Let c be m(g). What is p(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(-3*(3 + sqrt(2299) + -1 + (-4*(0 + sqrt(2299) + sqrt(2299)) - sqrt(2299))))**2*-5*5.\nAnswer: -792000*sqrt(19) + 331065000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0 + 0*h**3 - 149\/2*h**2 + 4*h**4 - 129*h. What is the derivative of o(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-30) + 0)*8\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 0 + 2 + 0\/(-7). Suppose 2*s = y*v - 0*s - 230, -4*s + 120 = v. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-6*d + 2*d + 3*d) + (-4 - 2*d + 4)*(-2 - 75 - 53).\nAnswer: 261*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 + 5*m**3\/3 + 2*m**2 + 2*m + 1. Suppose 7*o + 16 = 3*o. What is the units digit of r(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 + 6*d - 20. Let k be j(4). Solve -6 = -10*g + k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1 + 0*x + 7*x**2 + 0*x - 6*x**2 - 12*x**3. Let o be 7\/(-6) - 2\/(-12). Calculate the remainder when 22 is divided by i(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 14, f: 4}. Give prob of picking 2 k.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*s + 200. What is the second derivative of -s*k**4 + 38 - 41 - k + 0*k wrt k?\nAnswer: -636*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose -7 = -i + 3*y + 25, y = -3*i + 46. Suppose -i = 4*o + 3. Put c, o, -1 in descending order.\nAnswer: c, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 445.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 120231242?\nAnswer: 120231241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1932?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide (-2 + 1)\/(-4 + (-177387)\/(-17739) + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 + 1 = 2*a, -9 = 2*n + 3*a. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 14*j + 217. What is the lowest common multiple of -1 + 1\/3 + (-1530)\/(-27) and y(-10)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 6, y + 6*h - 4*h - 192 = 0. What is the highest common divisor of y and 1287?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -273, -717, -1455, -2559, -4101, -6153, -8787?\n\"Answer: -12*j**3 - 39*j**2 - 21*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 409*g**3*n**3 - 10*n**3 + 17*n**2 wrt g.\nAnswer: 1227*g**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((132\/(-440))\/(18\/(-10)))\/(220\/(-231)*-7)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10601*q**2 - 46715*q.\nAnswer: 21202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4524021.4 rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 32017.9986911 - 32018. What is d rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2*q + 13*q)*(2*q + 1 - 1 - 4*q + 3*q + 0*q + (0*q + 0*q - 2*q)*(1 + 3 - 5) - 4*q + 3*q + 0*q) + 24*q**2 - 10*q**2 + 10*q**2.\nAnswer: 62*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5650492 divided by -74.\nAnswer: -76358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9164 and 764562.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/20808 and 77\/721344.\nAnswer: 2164032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000076774 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -8.7, -9, 13, -4 in ascending order.\nAnswer: -68, -9, -8.7, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u + 6. Let d be q(3). Let t = d - -18. Sort 3, t, -2 in increasing order.\nAnswer: -2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*x + 8338 = -446*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(931) - (sqrt(19) + sqrt(304) + -5)) + 0 + -1*sqrt(475).\nAnswer: -3*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4858045469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/15)\/((-432)\/(-540))?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223069.\nAnswer: 7, 11, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 1:09 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 3*x - 15)*(7 - 7 - x)*(3*x**2 + 2*x**2 - 4*x**2) to z*x**4 + b*x**3 + s + a*x**2 + t*x and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36320455, -36320453, -36320451, -36320449?\nAnswer: -36320447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 39*m - 33*m. Let r be m\/(-5) + (-27)\/(-45). Let g = 343\/9 + -37. Which is greater: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -131204, -262431, -393656, -524879, -656100?\n\"Answer: m**2 - 131230*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joojojoojjjj. What is prob of picking 2 j?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 + 15*t - 28. Give j(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 12 = -2*r - 3*d, 3*r - 18 = 5*d. What is the smallest common multiple of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = 5*i + 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -36) + -41 + 8 + 21\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69894 is divided by 69650.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -24*i - 19. Let d be q(3). Let o = d + 115. Solve -g + 15 = 4*g, 5*g - o = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -1. Let x = q - -0.4. Let k = x + -0.2. What is the biggest value in -3, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*d + 40 = 56*d. What is the remainder when 114\/(-4)*8\/(-6) is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 + -134.9. Let w = -28 - q. Sort 0, 1\/11, w in descending order.\nAnswer: 1\/11, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 150 + -149 + (1 - (-2 - 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (-2 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o - 79*o + 41*o - 376380 = 0. List the prime factors of o.\nAnswer: 2, 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15256, -15802, -16356, -16924, -17512?\n\"Answer: -x**3 + 2*x**2 - 545*x - 14712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7816855*k**3*s**2 + 2*k**3*s + 37*k**3 - 2*k**2*s - 53*k**2 - 104*k*s wrt s?\nAnswer: -15633710*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9778246 is divided by 14110?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29163 or 116647\/4?\nAnswer: 29163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14732 <= 14732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*s**2*u**5 - 767*s**2*u**2 + 9*s**2 + s*u + 2*s - u - 3917 wrt u.\nAnswer: 720*s**2*u**3 - 1534*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 2*u. Let o(q) = -15*q**2 - 11*q. What is 33*h(d) + 6*o(d)?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 2, a: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 - 4*n. Let o be u(3). Are o and 25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 minus 179949?\nAnswer: -179972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*f**2*t*y + 2*f**2*t + 31*f**2*y + 3*f**2 - 4*f*t*y + f*y - f - 8*y wrt f.\nAnswer: 56*t*y + 4*t + 62*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-27)*-6 + 60274\/(-6). Let v be 2 + (-15)\/8 + f\/17384. Is v at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:08 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2126664 divided by -6.\nAnswer: 354444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or -2830966?\nAnswer: -2830966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.837074l to millilitres.\nAnswer: 9837.074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*u - 440*u = 64*u + 30660 for u.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**3 - 3*a**2 + 34. Let i(k) = 5*k**3 - k**2 + 17. What is 5*i(z) - 3*x(z)?\nAnswer: -2*z**3 + 4*z**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -549, -941, -1053, -765, 43?\n\"Answer: 20*b**3 + 20*b**2 - 592*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 11802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 + -13.82. Let b = s - -10. Let d = 57 + -55. What is the nearest to -2 in b, 1\/6, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 6*n - 6, 4 = 4*l + 4*n. Solve 0 = l*j + j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 3099 in increasing order.\nAnswer: 3, 7, 3099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 15405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 224\/12 + (-4)\/(-3). Suppose -f - 36 = -2*z. Suppose -l - z = -5*l. Solve u - l + 3 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4807751?\nAnswer: 13, 369827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73467241*j**3 + 2*j**2 - 358934369?\nAnswer: 220401723*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46513607.\nAnswer: 7, 6644801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 7*j**6\/3 - j**4\/4 - 10*j**3\/3 - 4*j - 22. What is the third derivative of n(z) wrt z?\nAnswer: 840*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27144 and 30160.\nAnswer: 271440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 1. Let x(w) = 9*w - 3. Let p(l) = 7*k(l) - 3*x(l). Let t be p(4). What are the prime factors of 16\/18*t*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22*-0.5\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.079 - 0.079. Let r = z - 33.8. Which is the closest to r? (a) 3 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5 (b) -12 (c) 3 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.9 - -136.9. Let r = -111 + p. Let x be (-21)\/(-18) + (-8)\/12. Which is the closest to x? (a) r (b) -2.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27653116.\nAnswer: 2, 31, 223009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220032213 (base 4) to base 15.\nAnswer: -86764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 169 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - 120*t = 0. Let z(k) = k**3 + k - 21. Determine z(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2867, 2641, 2415, 2189?\nAnswer: 1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**3 - 3*y**2 - 4*y - 39. Let l(n) = 16*n**3 - 16*n**2 - 20*n - 213. Let i(v) = -11*g(v) + 2*l(v). Let c be 5\/(-3) - 2\/6. What is i(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 128726 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*o - 4*z, -2*o + 2*z = -8 - 4. Let g(x) = -2*x**3 + 16*x**2 - 3*x + 27. Calculate the least common multiple of g(o) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272 times 0.02\nAnswer: -5.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 - 69. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -4, -20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g**3 - 27*g**3 + g**2 - 4*g**2)*(-21*g**2 - 26*g**2 + 21*g**2).\nAnswer: 312*g**5 + 78*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 6*h**2 + 27*h**2 - 11*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21\/8*56\/18 + (-52 - -43)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8\/7)*a**(-19) assuming a is positive.\nAnswer: a**(-141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (440\/300)\/(68\/85)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**5\/4 - 23*m**4\/2 + 573*m**3\/4 - 253*m**2 + 121*m = 0.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 1529098*w**2 - 1529099*w.\nAnswer: w*(w - 1)*(w + 1529099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 6:51 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 0) + 25 - 2. Suppose 9 = 5*x - t. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -372, -355, -320, -261?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549709.\nAnswer: 37, 83, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szhhh. What is prob of sequence hz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2387 + 17*g - 4749 + 2383.\nAnswer: 17*g + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-14)\/10) + 7761404\/140 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b7d6a + 4?\nAnswer: -b7d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-7)\/k)*k)**(4\/27) assuming k is positive.\nAnswer: k**(40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 104 + 8 = 2*i, -2*y = 2*i - 52. Suppose 2*z = -3*q + y, 1 = 2*q - 5*z - 0. Solve -l - q = -3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7204.\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**15)\/v*v)**48 assuming v is positive.\nAnswer: v**816","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23834711 - 11?\nAnswer: -23834722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556443 is divided by 170415?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-8))*j*j)\/j*j**(1\/6))**46 assuming j is positive.\nAnswer: j**(1265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 59 + 58 - 29 + 35 to m*i + n and give n.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43640562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8533 + 7940. Let n = -311547794 - -311548387.000247. Let u = n + x. What is u rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1638030169, -3276060340, -4914090511?\n\"Answer: -1638030171*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s**4 + 0*s - 2 + 2\/5*s**5 + 0*s**3 + 2*s**2. Find the second derivative of g(k) wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 11 = 3. Let k = x + 8. Suppose -l - 6*p + 18 = -2*p, -2*p = k*l - 16. Let v(s) = -2*s**2 + s + 1. Calculate v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (49*m**2 - 49*m**2 + 84*m**4)*(-4 + 6 + 1)*(0 - 3 + 2) as x*m + b*m**3 + y + t*m**4 + h*m**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52937523.\nAnswer: 3, 1960649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -945*m + 2751. Determine z(3).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -48, -96, -172, -282, -432?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1064770 and 848?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25 + -1 + 16440\/(-685). Determine d, given that 7\/5*d + n + 1\/5*d**2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1501*j + 83964. Calculate k(-55).\nAnswer: 1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198621 = 5*w + 7*z - 1198695, 5*z = 2*w + 64 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(98)*-1 + -1)**2 + -3 + 4).\nAnswer: 70*sqrt(2) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 10:01 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -381, -578, -775?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 309567345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 9183*y**2 - 2 - 25*y**3 + 0*y + 9181*y**2 + y + 15*y**4 - 2*y**3 to a*y**4 + i*y**2 + s*y**3 + x + b*y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**3 + 4*h**2 + h - 3. Let m be t(-1). Suppose 3 = 4*z - 4*j - 17, 0 = -5*z - 2*j + 32. Solve -m*k = -z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayip when four letters picked without replacement from {r: 2, a: 1, p: 1, v: 1, i: 1, y: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9399 greater than or equal to 8546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-25 - -5)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0 - (2 + -2). Suppose 3*z - 35 = -2*v, 5*v - 3*v - 53 = -5*z. What is the second derivative of p*a - 9*a**2 + 5*a**2 - z*a + 2*a wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -114560.\nAnswer: -1\/28640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 790 + -783. Let v(b) = 3*b**2 + 13*b - 15. Let d(i) = 2*i**2 + 6*i - 7. Let g(a) = -5*d(a) + 3*v(a). Let u be g(f). Solve 0 = -0*w - u*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36218558*c**3 + 715580*c - 4 wrt c?\nAnswer: -217311348*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33954?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3137196079+-5\nAnswer: -3137196084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -262, -618, -1116?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 46991 = -4*m - 16875, -2*m + 15054 = -4*b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1962*-0.051\nAnswer: -100.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -15. Suppose j*h - 12 = 4*w - 6*w, -4*h = -w - 9. What is the smallest value in -4, 6\/5, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3\/3 + 279664*i**2\/3 - 2517220*i\/3 + 5594000\/3 = 0 for i.\nAnswer: -69925, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -163. Let v = m - 101. Which is the closest to 1\/3? (a) 1.2 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:42 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 221872.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1407 - 4*s + 702 + 701.\nAnswer: -4*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z + 17395 = -2*z + 16723 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 4.4. Suppose 36 = -2*a + 6*a - 4*v, 0 = -5*v. Suppose f - 17 = a*y - 6*y, 3*y = 4*f - 32. Sort -3, y, r in descending order.\nAnswer: r, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a. Let z(j) = 3294274*j**2. Calculate z(n(v)).\nAnswer: 13177096*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from akmzmmzdza?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-6 - -6) + 31 + -11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q + 9*q - 35*q - 105*q.\nAnswer: -112*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 29*s**2 - 31*s - 3. Calculate i(30).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 6. Let j be q(-8). Let r be j\/10 - 105\/(-25). Suppose 3*z - 287 = -r*f + 114, -356 = -3*z + 5*f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 163*p**3 - p**2 + 3*p - 1. Is 41 a factor of o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmtu when four letters picked without replacement from tmmumutomtmsummu.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451 and 3068522.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 != -526762\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.8358061 rounded to 3 decimal places?\nAnswer: 282.836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - sqrt(132)*1)*6)\/(sqrt(120)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117530490 and 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 714714821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99 - (-14 + 80)) + -68.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2086, -1\/102, 3\/16 in ascending order.\nAnswer: -2086, -1\/102, 3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 2)*1*-36. Let n(a) = -15*a + 2*a**2 + 92*a**2 - 16 - 35*a**2 + p*a**2. Let z be n(-11). What is z rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579746.\nAnswer: 2, 89, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 - 2*y**4 + 6*y**2 + (1 - 5 + 5)*(5*y**4 + 5*y**4 + 3*y**4) as u + r*y + s*y**4 + x*y**3 + z*y**2 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 57*f + 227. Let i be s(15). What is i rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from khcgu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**5 - 15*y**4 + 2*y**2 - 43*y wrt y.\nAnswer: -240*y**2 - 360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -791.887.\nAnswer: -791.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/61259 and -22\/27845?\nAnswer: 306295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130015 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2372714453 to the nearest integer?\nAnswer: 48711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 5*c**2 + c. Let r(o) = -12*o - 21. Let z(i) = -3*i - 5. Let b(y) = -2*r(y) + 9*z(y). Let j be b(-2). Is l(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12\/31, 0.3, 0.2, -0.191?\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 4411370 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -948.3 + 948. Let b be 1\/2 + 18\/(-20). What is the nearest to b in -3\/7, l, -0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9646*2\nAnswer: 1.9292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 54?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 12*l. Suppose -2*w - 2*w - 4*q + 56 = 0, -3*w - 2*q + 42 = l. Calculate the greatest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3770 + -3769.9. Let z(d) = d**3 - 4*d**2 + 2*d + 6. Let g be z(3). What is the nearest to v in -0.4, g, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5621 (base 14) to base 12\nAnswer: -8779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from zdnddwznndnddddn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88901, -177956, -267011?\nAnswer: -356066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 10*m + 1008. Let s = 111 + m. Let d(p) = -p**2 + 1. Let l(n) = n**2 - 1. Let x(v) = 1. Let b(f) = 3*l(f) + x(f). What is s*b(a) - d(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - (3 + -1)) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1549, -8058, -19527, -35956, -57345?\n\"Answer: -2480*d**2 + 931*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 18 = 7. Suppose 0 = x*y - 3*f - 132, -1 = -y + 4*f + 22. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**(1\/2))))**(-10\/11)*(y*y**(-1)\/y)**(-2\/79)*((y**4*y)\/y**(-9))**(-1\/2) assuming y is positive.\nAnswer: y**(-6456\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -7)*(-1 + 25\/(-2)). Let -14*q + 63*q**3 + 51*q**4 + 16*q**2 - 9*q**5 - f*q**5 + 2*q - 52*q**2 = 0. What is q?\nAnswer: -1, -1\/4, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -0*t. Let f be t - (0 + 1 + -2). Suppose -5*w + 57 = 47. What is the greatest common factor of w and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4264602 (base 7) in base 6?\nAnswer: -15052420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/4 of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 13. Find the third derivative of -v*d**3 + d**2 - 17*d + d - 4 + 16*d wrt d.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341 and 713.\nAnswer: 7843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 1. Let v be u(1). Let d(r) = 11*r - 5. Let k be d(2). Suppose -k = -v*g + 19. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*n**2\/11 - 44090*n\/11 + 668 = 0. Calculate n.\nAnswer: 1\/6, 3674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0642802 and -73.\nAnswer: -4.6924546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**2 + 6*m - 9*m + 3*m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -80780153, -161560307, -242340461, -323120615, -403900769, -484680923?\n\"Answer: -80780154*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 17 - ((13 - 3) + -61 + 42)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from tqheehtstheehtqhtse?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 1\/4, 4\/5 in decreasing order.\nAnswer: 3, 4\/5, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:29 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - t**4 + t**4 - t + 2*t**4 + t + (2*t - 2*t - 2*t**2)*(2 - 2 + t**2) + 2*t**4 + 2*t**4 - 6*t**4 + 22*t**2 + t**4 - 22*t**2 - 2.\nAnswer: -2*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 974774 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 39*j - 365. What is i(0)?\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/5 - 17*d**3\/5 + 39*d**2\/5 - 8*d\/5 - 16\/5 = 0.\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-8 + 10))\/((-6)\/22). Let s(b) be the first derivative of q - 5\/3*b**3 + 0*b**2 + 0*b. Let c(r) = r. What is s(c(x))?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*-1)\/(6\/(-207)). Let h = r + 16. Suppose 3*n - h = -2*n. What is the remainder when 32 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 364*b**3 - 934*b**2 + 7*b - 7. Calculate z(3).\nAnswer: 1436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b + 7. Let v(y) = 2*y - 4. Suppose 5 = -o - 0. Calculate o*v(t) - 3*j(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/83220 and -26\/289845.\nAnswer: 84634740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (2 + 41 + -43)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/5 - 352*v**3\/5 + 15132*v**2\/5 + 31328*v\/5 + 15842\/5 = 0. Calculate v.\nAnswer: -1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1)\/(1\/(-1)). Let h be (-3)\/(-13860)*1636\/(-2). Let g = 1\/210 - h. Does g = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53791, -53794, -53797, -53800, -53803?\nAnswer: -53806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 4, p: 4, z: 6, h: 1, n: 3}. What is prob of picking 1 p and 1 w?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*2\/((-12)\/(12\/4)). Let d be 0\/z - (-16)\/56. Which is the closest to -0.1? (a) -4 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 30\/(-4)*(-224)\/240\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9622982308 to the nearest integer?\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 31*w**2 - 24*w + 184. Let f be t(-30). What is the third derivative of 129*y**4 - 273*y**4 + y**3 + 138*y**f - 98*y**2 wrt y?\nAnswer: -144*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16072, 32339, 48592, 64831, 81056?\n\"Answer: -7*l**2 + 16288*l - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1959*l + 649*l + 24*l**2 + 643*l + 667*l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 768.1548 + -0.1548. Let j = 766 - x. What is the nearest to j in 3, 0.1, 2\/23, 0.5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4*h + 12300*f**4 - 14687*f**3*h + 6*f**2*h + 8*f**2 - 1994*f*h + 42*f - h - 2 wrt f?\nAnswer: 24*f*h + 295200*f - 88122*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 6*m**2 - 2*m - 34. Calculate v(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -11899\nAnswer: 23798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -18*w**2 - 15*w - 15. Let l(d) = d**2 + d + 1. Let a(k) = 15*l(k) + o(k). Let v = 18 - 21. Let x(i) = 4*i**2 - i. Determine v*a(f) - 2*x(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373.8063ml in litres?\nAnswer: 0.3738063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/2))**0\/(s**(1\/2))**9)**42 assuming s is positive.\nAnswer: s**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**5 + m**4 + m**3 + 1. Let b(r) = -r**5 + r**4 + r**3 - r**2 + 1. Let s(v) = 2*b(v) - 2*w(v). What is the third derivative of s(y) wrt y?\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1052 from -11.7.\nAnswer: 1040.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40 - 3*m - 2*m**3 + 40 + m**3 - 3*m**3 + m**3 + (-4*m**3 + 4*m**3 + m**3)*(-3 + 5 - 4) - 2*m + 2*m**3 + 2*m.\nAnswer: -3*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 2036 = -7646. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 12 = -4*n, 117*n - 2*a - 20 = -152*n + 273*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -355364*m**2 + 84058?\nAnswer: -710728*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1342763395?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 74, -62, -200, -340?\n\"Answer: -w**2 - 133*w + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2970.5?\nAnswer: -2970.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + c**3 + (-2*c + 4*c - 3*c)*(c**2 - c**2 - c**2) + 5*c**3 + 0*c**3 - 4*c**3 + c**3 + c**3 - c**3 + (-2*c**2 + 0*c**2 - c**2)*(-c + 5*c - 2*c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7*b + 128. Let s = b + -23. Suppose -5*t + 5*i = 5, 4*t = 4*i - s*i + 23. Is 1 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(228)*3)\/((sqrt(120)*3)\/sqrt(10)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/3 in -6, -4, 0.117046?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-1*-5*-1)\/(sqrt(108)\/(sqrt(18)\/sqrt(2)) - -4*sqrt(108)).\nAnswer: -5*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 + 35. What is the greatest common factor of 31 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1735, 2287, 2831, 3367?\n\"Answer: -4*q**2 + 564*q + 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13 + 8*y**2 + y**2 + 2*y**3 - y**3. Suppose -16 = 3*s + 11. Is 13 a factor of i(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1725234 - 4*g**2 - 1725234.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -5\/20869487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 12:43 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - s**2 - 2*s**2 + s**4 + 0*s**2 + s**2 + 2 to the form m*s**4 + w + b*s + q*s**3 + j*s**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uruqp. What is prob of picking 1 p, 2 u, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:00 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2368\/8337 + -2\/1191. Let u = -3 - -2.7. Which is the third smallest value? (a) q (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4907, 9813, 14719, 19625, 24531, 29437?\n\"Answer: 4906*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 1 - 1. Let b(d) = d**2 + d - 1. Let j(p) = -28*p**2 - 24*p + 24. Let h(l) = -24*b(l) - j(l). Calculate f(h(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2. Suppose 0 = -2*y + 5*x + 25, y - 3*x - 10 = -x. Let k(o) = 89 - 89 + o + y*o. What is k(r(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -3741?\nAnswer: -3737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -513032 + 1?\nAnswer: -513031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 761747?\nAnswer: -761747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r - 5. Let t be x(-2). Suppose 3*u - 11 = -q, -3*q - 4*u + u + 51 = 0. Solve -q = -t*j - 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/61)*p*p*p**(-16)*((p*p\/p**4*p)\/p)\/(((p*p**4)\/p*p)\/p*p) assuming p is positive.\nAnswer: p**(-1222\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7811*y - 23436. Give x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4653, 4666, 4679?\nAnswer: 4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 12:58 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + v - 19. Let y be k(0). Suppose -j - 6*j = -4*j. Put j, y, -1, 5 in decreasing order.\nAnswer: 5, j, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29419\/8400 + -128\/175. Find the common denominator of 47\/216 and k.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 348 - 210 = 0. Let d = x - 80. Sort d, 4, -4 in ascending order.\nAnswer: -4, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 25. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 553.32 * 1\nAnswer: 553.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 0*m + 4*m**2 + 1\/3*m**3 + 1\/60*m**5 + 1\/8*m**4 - 3. Let r(x) be the second derivative of z(x). Factor r(i).\nAnswer: (i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/6 + -266 - (-4)\/1. Let r = 260 + g. Calculate the highest common divisor of r and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68359 divided by 6.\nAnswer: -68359\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 155 = -5*n, 11*v - 287 - 64 = n. Calculate the greatest common factor of 2048 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2403 and -0.4?\nAnswer: 0.09612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1100)*2 + 2)**2*6 - ((sqrt(1100) - (sqrt(1100)*-2 + sqrt(1100)))*-1 - (0 + sqrt(1100) + sqrt(1100)*4)).\nAnswer: 1750*sqrt(11) + 26694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(70)*-1 - sqrt(70))*-1)\/(sqrt(1210) - (sqrt(1210) - sqrt(1210)*-3 - sqrt(1210))*6)*-5 + 3.\nAnswer: -15*sqrt(7)\/187 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.6527 and 133014414.\nAnswer: 133014417.6527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 57, 74, 111, 174?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -1b6?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-4)*((-2964)\/(-65))\/(-38)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 3. Let f be t(7). Let x(d) = d - 1. What is the remainder when x(f) is divided by -4 - (-7 + 3) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.87996*0.2\nAnswer: -6.975992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*z - 23 = 0, -2*i + 30 = -15*z + 10*z. Solve 18*c - 15*c = 5*q, -19 = 2*q - i*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/35*(-5)\/2. Sort -5, 5, s.\nAnswer: -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 1. Let q(j) = -4*j**2 + 6*j + 5. Let b(s) = 5*i(s) - q(s). Let a be b(-5). Solve -5*f + a = -10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-16) - (-9)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1165692*j**3 - 18628*j - 13.\nAnswer: -6994152*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, u: 3, n: 3}. What is prob of sequence xn?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 5 + -4 - -9) + 136 + -103?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 + 308*k**4 + 3420*k**3 - 105300*k**2 = 0. Calculate k.\nAnswer: -45, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**2 + 4695*z - 2349.\nAnswer: 3*(z + 783)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 819, 853, 939, 1077, 1267?\n\"Answer: 26*s**2 - 44*s + 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:17 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-608)\/(-133))\/(2\/1*(-14)\/(-98))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 12:00 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/302 and 67\/20838?\nAnswer: 20838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 1\/330*l**5 + 0*l + 5\/132*l**4 + 0 - 43*l**2 + 2\/11*l**3. Factor u(w).\nAnswer: 2*(w + 2)*(w + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960100369 to the power of 1\/2, to the nearest integer?\nAnswer: 30985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -7. Let m(x) = -2*x**2 - 59*x - 178. Let f be m(-26). Let s = 2 + 3. Solve s*b + 0*a + 2 = -a, 3*a + i = f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - 4*t**2 + t**2 + (-t + t + 2*t)*(0 + 0 + 4*t) - 1 - 2*t**2 + 1)*(2*t**2 - 4*t**2 + 3*t**2) to q*t**2 + k + c*t**3 + y*t**4 + h*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 58. Suppose j*v + 5*v - 30 = 0. Find the second derivative of -2*c**3 - 3*c**v + 7*c**3 - 30*c + 9*c**3 wrt c.\nAnswer: 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssszgsgz. Give prob of picking 4 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 b when four letters picked without replacement from {b: 10, s: 9}.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 6. Suppose -3*b = -5*b + 12. What is the least common multiple of 6 and l(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125018 is divided by 940?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.1, -109217?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**2 - 54280*y - 776250?\nAnswer: -2*y - 54280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 7*q**2 + 0*q**2 - 19 + 34 - 3*q**2 + 7*q as j*q**2 + r + n*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 511 divided by 1.\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/24)\/((-70)\/(-63))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*h = -456*h + 72 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 3*l**5\/5 + 3*l**4\/2 - 5*l**3 - 9*l**2 - 138. Factor m(p).\nAnswer: 3*p*(p - 2)*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14bb64 (base 14) in base 16?\nAnswer: -b0bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and (-970)\/(-40) + -12 + 2\/(-8)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221469*0.2819.\nAnswer: -62432.1111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 2581?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2398303*f**3 + 29352*f**2 + 4892*f + 4892. Let z(q) = -2451*q**3 - 30*q**2 - 5*q - 5. Give 5*w(m) + 4892*z(m).\nAnswer: 1223*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1323))\/((sqrt(54)*4)\/sqrt(6)))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**6\/1080 - f**5\/90 - f**4\/18 - f**3\/3 - 2*f. Let r(m) be the second derivative of x(m). What is j in r(j) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -71, -156, -275, -428?\n\"Answer: -17*l**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 14 - 32\/21*r**6 - 36*r + 25*r**4 - 100\/21*r**3 - 318\/7*r**2 + 352\/35*r**5. Solve i(k) = 0 for k.\nAnswer: -1, -3\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88966, 3, -3 in descending order.\nAnswer: 3, -3, -88966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 25*b**2 - b + 3. Is m(1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55638 = 116*c - 29738. Calculate the remainder when c is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 15*g + 13. Let u be k(7). Differentiate 17*y + u - 12*y - 11*y - 2*y wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2071.779 months?\nAnswer: 1.7264825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, i: 3, n: 7, k: 1, c: 2, y: 2}. Give prob of sequence icny.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 16\/6)*36\/30. Suppose -74 = -5*i - 24. Which is the nearest to -0.1? (a) o (b) 6\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 174*d + 21. Let c = -41 + 51. Let s be g(c). What are the prime factors of 1 + s\/27 + 14\/(-63)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 4560*d**2 + 63252*d + 220696.\nAnswer: 4*(d + 7)**2*(d + 1126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/11 - 156468232*a\/11 - 312936472\/11.\nAnswer: 2*(a - 78234118)*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230 + -2072\/9. Let u = -80612 - -80613. Which is the nearest to 1\/2? (a) -0.1 (b) t (c) u (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 207386\/343 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(325) - ((((sqrt(325) - (-4 + sqrt(325))) + sqrt(325))**2 - sqrt(325))*3 + sqrt(325))).\nAnswer: -2046 - 210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-1 - (-26 - -20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/237 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-55) - (-1277475)\/55) + (-9)\/9 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -969 + 966. Let v = -30 + 47. Let t = 12 - v. Which is the closest to 3? (a) q (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/121 and 61\/87428?\nAnswer: 961708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -17*v - 4. Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480519, -480800, -481081, -481362, -481643, -481924?\nAnswer: -482205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 0.199\nAnswer: 4.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + -5 - (3 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 - -140. Solve 3*j - 6*j - 12 = v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**30)\/b)\/(b**(2\/73)*b)*(b**27)**(-5\/8) assuming b is positive.\nAnswer: b**(-27975\/584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -39*v - 574 + 123 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*c + 14, -3 - 7 = 5*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475, -901, -1317, -1723?\nAnswer: -2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4. Let w = a + 1. Find the second derivative of 5*d**2 + 0*d + w*d - 3*d**2 wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-6)\/(-4)*(-6)\/(-9). Suppose 0 = 3*t + 15 - 30. Suppose 5 = -2*b - 4*w + w, 2*b + w - t = q. Solve v - 3 = -i - 6, -i - 7 = b*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 - 11. Let f(u) = u**2 + 2. Let d(y) = 33*f(y) + 6*j(y). Let b(x) = -3*x + 0*x + 0*x. What is d(b(z))?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004861651 rounded to six decimal places?\nAnswer: 0.004862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*a - 1720 = -38*a + 19*a. Let h = -10 + 12. Solve -11*m = -a - h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -17 - -18) + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-2)\/4*-26. Suppose 0 = p, -3*d = 5*p + j - 4. Calculate the remainder when 3\/(d - 102\/(-33)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, i: 6, j: 2, u: 2, d: 1}. Give prob of picking 1 d and 1 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -26 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 784043 (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3))**(1\/94)\/(v**11\/((((((v*v*v*v**1*v)\/v*v)\/v*v)\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-1268\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, w: 3, s: 9}. What is prob of picking 1 c and 1 s?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 9*z**2 + 7*z + 6. Determine v(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242 + -151. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -15. Let w be 0 - (1 - 16\/j). Which is the second smallest value? (a) 2 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + b + 0*b + (-4 - 1 + 6)*(0*b - 2*b + 3*b) + 18*b + 95*b - 295*b.\nAnswer: -183*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32\/7, 2, 94\/9, 0.08, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.2 + -11. Let r = -2 - g. Which is the nearest to 0.1? (a) r (b) 0.5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7060\/1059)\/(16975\/(-105))?\nAnswer: -4\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fufuu. Give prob of sequence uuf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**4 - 12*g**3 + 68*g**2 - 96*g - 2436. Factor u(b).\nAnswer: -4*(b - 2)*(b - 1)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**5 + 0*c + 0*c)*(11 + 8 - 3).\nAnswer: -32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1)\/((-4)\/(-2)). Let b(d) = 2*d**2 + 26*d + 28. Let t be b(-12). Suppose -t*q + 97 - 5 = r. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 21*z**2 + 4752180 - 4752180. Let s(t) = 7*t**2 + 2. What is s(g(m))?\nAnswer: 3087*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1 = 3*y, -2*y = 5*u - 4*y - 10. Suppose 4*n - 515 = 5*b, -n + 3*b = u*n - 634. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 16a?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2*123\/3)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - s - 32. Let b(u) = -4*u**2 + 81*u + 7. Let i be b(0). What is g(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Suppose 0 = -2*l + q + 1. Suppose -5*o + 3 = -l*o. Are o and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6286056*i**3 + 26269*i - 1240?\nAnswer: 37716336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 619*l + 7 + 17 = 621*l, 0 = -3*l + 36 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from aknffdfunnufak?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -114 + ((-688)\/(-36))\/(668\/1503)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + 17*k**2 + k + 199. Give b(9).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9106 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242\/10 - ((-16)\/(-40))\/2 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40.5 - -41. What is the third smallest value in -1\/7, -0.2, p, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/3 (b) 0 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k - 2*k**2 - 12 + 6*k**2 - 3*k**2 + 5. Let p be r(6). Let u(h) = -3*h - 10. Let q be u(p). Solve 0 = 3*w - 4*a + a - 21, -q = -2*w + a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 o when three letters picked without replacement from {o: 17, p: 3}?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.9998 - -17. Round y to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -935, -1365, -1763, -2129, -2463, -2765?\nAnswer: -3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37927593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 356. Let n(r) be the second derivative of r**3\/3 - 2870*r. What is n(v(b))?\nAnswer: -2*b**2 - 712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**3\/6 + 2*w + 12. Let c(r) = -29*r. Determine m(c(p)).\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttatjttttttjjtt. Give prob of picking 2 t, 1 a, and 1 j.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.03 + -4.2. Let z = 2.97 + w. Let l = 0.2 + z. What is the biggest value in l, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-8))\/(22\/24). Let b(w) = -w**3 - 4*w**2 + 4*w - 4. Let m be b(-5). Is u less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11644.7 in 4, -3, -1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-7*(-6)\/14. Put q, 1, -5 in increasing order.\nAnswer: -5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3063 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5.7. Let o = -0.2 - -0.6. Which is the smallest value? (a) s (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 1, -4, -99 in descending order.\nAnswer: 2, 1, -4, -10, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**5\/20 - y**4\/4 - y**3\/3 - 2*y**2 + 28*y. Determine m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235932615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 4. Suppose 5*q = 2*u - 5, 3*q - 3 = -0*q. What is v(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 366023.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 4*k**2 + 3*k. Let p be (-18)\/15*(-2)\/(-4)*-5. Suppose -2*g - 4 = 0, -7*b = -10*b + 3*g - p. What is t(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201970458?\nAnswer: 2, 3, 233, 48157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008946597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 140248319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.993 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.303248 millilitres in litres?\nAnswer: 0.001303248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkpp when four letters picked without replacement from kkppkpkkpkpppkppkkpp?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7326340\/699 less than -10480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n - 3. Let l be i(2). Suppose -z = l - 33. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 + 21*w**2 + 203 + 21*w**2.\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41601701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (68\/(-6))\/((-2)\/6). Let h = -103\/3 + r. Let i = -8 + 10. Which is the closest to h? (a) i (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -276 - -676. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -7*i**4\/24 - 9*i**3 + 8*i**2 + 20*i. Let r be n(-8). Solve -3*v = 0, -r*v - 4 = 3*p - 7*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 427 + -424. Suppose 33 = -f + 2*h, 0 = -z*f - 3*h - 62 - 46. What is f rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206013313.\nAnswer: 71, 16986103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 4*t + 3*t - 3*t + 3*t + 9*t + (3 - 5 + 4)*(-3*t - 2*t + 4*t) - t + 0 + 0 + 0*t - 2*t + 3*t - 1 + 1 + 6*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 4*w**3 + 4*w**3 + (w - w + w**2)*(4 - 4 + w))*(-w + w - 2*w + (2*w - 5*w + 2*w)*(2 + 4 - 3)).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.4, 2\/5, 3 in increasing order.\nAnswer: -3\/7, -0.4, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/107, -3052, -2, 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 3*i**2 + 3. Let b(g) = g + 10. Let a be b(-9). Let j(y) = y**2 - 1. Calculate a*r(w) + 3*j(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 smaller than -1003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + -1*sqrt(78)*-3)\/sqrt(6).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-337 - -317)\/(7*-2)*(-8 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 45467598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23242 + -44042?\nAnswer: -20300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*((l*(l*l\/(l\/(l\/(l*l**16*l)*l)))\/l)\/l)\/l)\/l**(3\/8))\/(l**(-9\/2)\/(l*l**(-1\/8)\/l)))**25 assuming l is positive.\nAnswer: l**(-275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 2042\nAnswer: -11\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000503 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 0)*(-60*c + 21*c - 43*c)*(1 - 3*c - 1) to the form k*c**2 + q + n*c and give k.\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -247968 * -1\nAnswer: 247968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 186887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77 - (3 - 9)) + ((-22 - -13) + 1 - -10)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 9. Let o = t - 14. Suppose -3*l + 3*k - 3 = o, 0 = -5*l - 3*k - 26. Put 3, l, 2\/19 in descending order.\nAnswer: 3, 2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45226 + -1582463080\nAnswer: -1582417854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 0)*(-2 - 3 + 3) - 5 + 0 + 2)*(-2*g + 0*g - 2*g) to the form r + l*g and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(315)*-1*-6)\/((4*sqrt(270)\/sqrt(6))\/sqrt(9)) + -2)**2.\nAnswer: -583\/2 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**4\/12 + 5*j**3\/6 - 3*j**2\/2 - 49*j. What is u(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p. Let q(f) = -f. Let r(c) = 8*q(c) - z(c). Let s(g) = 2*g**2. What is r(s(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 8 = 0. Let t(o) = o + 2*o - u*o. Let m(c) = -5*c**2. Determine m(t(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844923022759*b**2 + b**3 + 844923022759*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnffnffff. Give prob of sequence ffnf.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131128, -262583, -394038, -525493, -656948, -788403?\nAnswer: -919858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 17, u: 2}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 3*q - 1. Let j(c) = c**2 - 16*c + 200. What is the remainder when j(12) is divided by h(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sisiiiiiiiiisisiiii. Give prob of picking 3 s.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 20 (b) 6\/11 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4122116, 8244221, 12366328, 16488437, 20610548?\n\"Answer: b**2 + 4122102*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 19*a - 4. Let m(t) = t**2 + 9*t - 2. What is -13*m(h) + 6*w(h)?\nAnswer: -h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131.3396g to nanograms.\nAnswer: 131339600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3011961 to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8462977 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v - 2*v)*(-12 + 3 - 7).\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 - 5) + (1 + 0)*4. Let k(r) = -r**2 + 4*r - 25. Let x(f) = -2*f**2 + 7*f - 51. Let w(v) = -5*k(v) + 2*x(v). Is 18 a factor of w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 281\/4 - (2 + 1 - 7). Is 73 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = j + 426346, -4*j = 306*x - 305*x - 106561. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5021.557108 to the nearest integer.\nAnswer: -5022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and -41748?\nAnswer: -1419432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2653)\/(-2) + 0)\/(2\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -1, -17, 1 in ascending order.\nAnswer: -17, -3, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -2*l - 11, -5*d - 4*l - 28 = -3*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 9*n + 8. Let j be h(7). Let u be (j\/(-4))\/((-12)\/(-32)). Let i = u - -30. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 50, -16, -82, -148?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 530021.9 + 5.0482591\nAnswer: 530026.9482591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 149717498687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43381379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -13*a. Let r(w) = 76*w. Determine y(r(m)).\nAnswer: -988*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-17)*8\/(-24)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x. Let f(i) = 2*i. Let m(n) = 6*n. Suppose 12 = k + 2*k. Let z(t) = k*m(t) - 11*f(t). Calculate z(a(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -7 (b) -1\/2 (c) 0.3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*x - 16 = 0, 0 = 3*q - 0*q - 5*x + 28. Let b be (-56)\/6*(-675)\/300. Sort q, b, -4 in ascending order.\nAnswer: -4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -400453 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 3*n + 35. Let t = 8556 - 1826. Suppose -t = 2*o - n*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 + 11*a + 19. Is k(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 151130 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2040)\/1700*(12 - -3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13\/3*f**2 - 29\/3*f**4 + 16\/3 + 14*f - 13*f**3 - f**5 = 0. What is f?\nAnswer: -8, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**4 - 7153*c + 56097.\nAnswer: -12*c**3 - 7153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -100. Let y = 22 - j. Let m = y + 9.4. Which is the biggest value? (a) m (b) 11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100855, -100786, -100717, -100648, -100579, -100510?\n\"Answer: 69*v - 100924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 132 = 30*l. Let s = l + -60. What is the greatest common divisor of 30 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-26))\/(-25*17\/121550)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = -25. Let y be 1\/6*2 + (-5)\/m. Let g be 3\/6 + (-3)\/(-2). Solve -l - g*l + 3 = y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 3. Let g = -45 + 45. Suppose g = 4*d - 3 - 1. Let c be k(d). Solve w + c = -2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-3)\/(-8))*(-5)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -19*s**2 - 5538*s + 16596. What is v(3)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 4:55 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((2\/1)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + (-25)\/(-15). Suppose -4*d + s*d = -h - 1688, 0 = 2*h + 4. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.554996558 - 7.555. Round n to 7 dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6) - (-20)\/30.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*r = 2*r + 706, -2*r + 686 = 3*b. Let p = b - 24. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 11 = s - 37. Solve 21*t = 25*t + s for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by (7 - (-136)\/(-20))\/((-5)\/(-475)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -2 + -4 + -1*sqrt(11)*-4 + -1.\nAnswer: -7 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 12*w - 4000. Let m = w - 28. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 2*q - 14. Let a be v(-5). Sort 0, 5, 29, a, -4 in decreasing order.\nAnswer: 29, 5, a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151168395?\nAnswer: 3, 5, 7, 1439699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u - 3. Let v(a) = -2*a + 18. Let b(m) = 48*n(m) - 3*v(m). List the prime factors of b(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.1 - 6. Let x = f + 4.9. Put -0.5, x, -3 in ascending order.\nAnswer: -3, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -806 + -4?\nAnswer: -80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -233441121 (base 5) to base 15\nAnswer: -164491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*w**2 - 57135*w + 34290.\nAnswer: -5*(w + 2286)*(5*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from zauuuzziznzu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/32 - (-9)\/4. Let k = -0.041 - 0.059. Sort r, 4\/3, k, -0.3.\nAnswer: -0.3, k, 4\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16429*3\nAnswer: 0.49287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 368764 divided by 374?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - h + 5 = -0*h, -3*z - 3*h = -15. Let p(c) = 4*c**2 + 2 - c + 567*c**3 - 5*c**2 - 282*c**3 - 284*c**3. What is the units digit of p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824892583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2*n - 8 = 0, 2*l - 181 = 4*n - 165 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 c when four letters picked without replacement from {c: 15, k: 2, r: 3}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8*i = 9*i - 405, 3*i = 4*y - 1634. Calculate the greatest common divisor of 148 and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9513.\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y + 251 - 23 - 8 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 184\/16)*-4*(-18)\/120?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 14\/3. Let j = -7\/2 - -13\/4. What is the closest to 1\/4 in -0.2, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 37, 41, 47, 55, 65?\n\"Answer: u**2 - u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 5*h + 4*h**2 - 15*h - h**2. Let w be u(-5). Calculate the greatest common divisor of 100 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 140364006 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.20059, -2\/5, -0.5 in increasing order.\nAnswer: -0.5, -2\/5, -0.20059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)*(90\/70 - (-15)\/21). Let g = -0.6 - -0.7. Which is the closest to g? (a) -25\/3 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 23 - 7 - 6 - 10.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -54 times -122\nAnswer: 6588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7732472 or -7732470?\nAnswer: -7732470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b. Let z be 4*(2\/4 + b). Solve -x - 12 = z*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 38*v + 2 + v**2 - 14*v - 16*v. What are the prime factors of o(-10)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, a: 5, u: 6, q: 1, o: 2}. What is prob of sequence uuh?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 2*k - 2. Let h be y(-2). Suppose 2*s - 2 = h. Solve 5*v - 17 = 2*w + 7, -2*w = -s*v + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.58166mg?\nAnswer: 581660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32924 - 11428 = -1344*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 8 = -6*d - o, -2*d + 3*o = -14 + 54 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6049 is divided by 173?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 7 + 1)*(2 + 9 + 5)*(-2 + 5 - 4) - 2 + 2 - 1)*(-w**3 - w**2 + w**2).\nAnswer: -47*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -351*w**2 + 1825.\nAnswer: -702*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 + 2*l**4 + 0*l**4)*(-5*l - 551*l + 192*l + 1546*l).\nAnswer: 2364*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:31 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41946610002194873\/125862 + -333274618248. Let y = p - 4\/20977. What is the common denominator of 11\/3 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -25. Sort -5, w, -0.4 in decreasing order.\nAnswer: -0.4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3682954.674467 and 0.2.\nAnswer: 3682954.874467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 3*y**2 - 4*y - 1. Let b = 6 - 10. Is x(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 196 + -176.1. Let f = w + -21. Let k = f - -1.09976. What is k rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 g when four letters picked without replacement from {p: 5, g: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 10.8740687?\nAnswer: -10.5740687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-60) + -2*13\/8. Sort 5, 0, r, 11, 4 in decreasing order.\nAnswer: 11, 5, 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1385 - 54*c**2 + 1385 + (-1 + 1 + 2*c)*(-c + 0 + 0) - 4*c + 4*c - c**2 to the form r*c + t + h*c**2 and give h.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 308 = 422. What are the prime factors of h?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83, 221, 431, 713?\n\"Answer: 36*r**2 + 30*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6177 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 264.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 748970288 divided by -8.\nAnswer: -93621286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1232, -3065, -7366, -11671, -15980?\n\"Answer: -2*d**2 - 4291*d + 5525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 22*y**2 + 11*y - 11. Is w(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121311 + 10?\nAnswer: 121321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o**2 - 10*o**2 - 7*o**2)*(3*o - 4*o + 0*o + (0 + 2 - 4)*(o - o + 2*o) - 2*o + 0*o + o).\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74 and 483339003856.\nAnswer: 483339003930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5690 and 8?\nAnswer: 22760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1614007, -1613952, -1613897, -1613842, -1613787, -1613732?\n\"Answer: 55*c - 1614062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**8\/336 + h**7\/210 - h**6\/60 + 37*h**2. Determine x, given that f(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 293188?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14725, -14714, -14703?\n\"Answer: 11*u - 14736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + i**2 - 2*i - 1. What is the hundreds digit of t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 15*q**2 + 13*q - 3. Let w be z(-6). Suppose 5*f + 75 = 2*n, -5*f + 8*f = -3. Solve 2*g = w - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744423820 a multiple of 3314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235 divided by -47.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.031150984 rounded to 2 decimal places?\nAnswer: 2.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**4 - 14*g**4 - 6*g**2 + 7*g**4 - 11*g**3 - 2*g + 2*g - g**4 + (g - 4*g + 2*g)*(g**3 + g**3 - g**3).\nAnswer: -3*g**4 - 11*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l + 32 = 0. Let o = l + 10. Suppose 5*y + o*g - 5000000 = -0*g, 0 = 2*g. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n. Let w(f) = -7 + n - 2*f + f**3 + 4. Give w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6\/13, 0.2, 4, 0.5 in ascending order.\nAnswer: -6\/13, 0, 0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/105325 and -43\/201075.\nAnswer: 2211825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)**(5\/6)*c**(2\/7)*c**(-2\/7))\/(((c\/c**8)\/(c\/(c*(c\/c**(6\/11))\/c*c)))\/(c**(7\/4)\/c*c*((c*c**(-2\/5))\/c)\/c)) assuming c is positive.\nAnswer: c**(4001\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 752*h**2\/11 - 237638*h\/11 + 1896\/11.\nAnswer: 2*(h - 316)*(376*h - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2627, -4 in descending order.\nAnswer: 2627, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.69 and -0.04895211?\nAnswer: 8.64104789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11612008 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6*m - 59 = 0. Suppose m*t - 82 = 18*t. Solve -2*f + 8 = t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3849608 * 3\nAnswer: -11548824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54965692 divided by -29206?\nAnswer: -1882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 10*l**2 + 14*l. Let w be j(-6). Let q(f) = -4*f**2 + 4. Let g(i) = -1. Give w*g(m) - 3*q(m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5878433?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47\/26 - 3\/52. Let z = -1925 + 4291. Let i = 18965\/8 - z. Calculate the common denominator of k and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 157208*i**2 + 157204*i.\nAnswer: 4*i*(i - 39301)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 8*g + 4. Let c be o(8). Differentiate -7*j**4 - 7*j**4 - 3*j**c + 5 + 10*j**4 with respect to j.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 987 - 987. Let y(c) = -c**2 + 1. Let g(i) = -15*i**2 - 2*i + 6. Let x(p) = -g(p) + 6*y(p). What is m(x(d))?\nAnswer: 81*d**4 + 36*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + 13?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 0.0311, 3.9, 2\/3, 0.09, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-8 + 0 - (-28 + (-4 - -34)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:20 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44860323*x**4 + 6*x**2 - 41694*x + 3 wrt x.\nAnswer: 1076647752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-2) + 1\/(15\/51). What is the third biggest value in 0.3, j, 32?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 12*n**2 - 11*n - 20. Let f be j(-11). Let q be 20\/4*(-8)\/f. Suppose -q*s = -5 - 1. Solve -6 = s*t - 5*k + 22, -t + k = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19478 - 15440 + i**3 + 50351 - 15433.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5835144*i**2 + 123881*i + 38?\nAnswer: -11670288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {y: 1, r: 1, h: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 9*a = -24. Let p(o) = -o**2 + 7*o + 5. What is p(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from hqp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4, p + 7*u - 3*u - 20 = 0. Suppose 0 = r + 3*x + 1, -p*x + 4 = 2*r + 2*r. Let w(d) = -2*d**2 - d + 2. Determine w(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 4 + 7 - 3.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t + 180 = -162 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 3*f + 2. Let d be h(-4). Suppose -2*m - 4*a = 28, -5*a - d - 39 = 5*m. Let c(k) = -k**3 - 5*k**2 - 4*k. Give c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8877 (base 11) in base 9?\nAnswer: -17040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-91)\/(-39)*(-4 + 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24320604 (base 7) to base 4\nAnswer: -20102210103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69817\/46544 + -1\/46544. Let k = -0.1 + 0. Let f be -3*(3 + 2\/(-1)). Which is the closest to -1? (a) f (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 715341*q - 1430694.\nAnswer: 3*(q - 2)*(q + 238449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/3)\/((6 + 10094\/(-784))*1\/(-10))\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27289 is divided by 455?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -4 (b) 21 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4936.\nAnswer: -1\/4936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*a - 224. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 35*s**2 - 27*s - 8. Give m(2).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)*-1)\/sqrt(8)*2)\/(4*(sqrt(576)*-1 + sqrt(4))).\nAnswer: sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*m - 1, -86*m + 2*f = -80*m + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**5\/20 - o**4\/4 - o**3\/2 - 2*o. Let h(p) = -7*p - 80. Let z be h(-11). What is c(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594886 is divided by 3233.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.36745 + 0.03255. Which is the nearest to 1? (a) p (b) 1\/5 (c) -1\/5 (d) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -10, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s + 1. Suppose -3*n + m - 76 = 0, 0 = 5*n + m + 38 + 86. Let a = 36 - n. What is the remainder when a is divided by q(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62419 divided by -7?\nAnswer: -8917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5495 (base 15) to base 4.\nAnswer: -10113323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499290301.\nAnswer: 157, 3180193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*g = -99*g + 1134 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty-eight sevenths of a week?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + -2*1*sqrt(19).\nAnswer: -2*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**5 + 14730*j**4 + 256985*j**3 - 15205230*j**2 + 14933520*j = 0 for j.\nAnswer: -42, 0, 1, 24, 2963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -763 - 5515?\nAnswer: -6500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -145*s**4 - 2310*s**3 + 160*s**2 = 0.\nAnswer: -16, 0, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -13*o + 2. Let q(t) = -12*t + 2. Let i(b) = -5*f(b) + 4*q(b). Let h be i(2). Suppose 2*x - 4*x = -h. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 67 - 44)*(3*p - 5*p + 0*p).\nAnswer: 102*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 381 and 24.83692?\nAnswer: 9462.86652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -821 and -1.\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -200*f + 4782. Determine k(19).\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*o, -o + 4 + 9 = 2*l. Solve 3 + 5 = 2*t, -3*d + l*t = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 142022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n + 250. Let f be r(19). Suppose 0*c = -4*c + f*c. Solve -k - 4 = 5*z + 10, c = -k + 2*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**6\/120 + 7*o**5\/60 + o**4\/24 - 3*o**3\/2 - o**2. Let f be u(7). Let p be -1*f\/20*-6. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/((m\/(m\/(m**(-3\/4)*m)))\/m))\/(m**(-5)\/m**3) assuming m is positive.\nAnswer: m**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2521.\nAnswer: -1\/2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(21\/19) + 4\/6. Let g be (-5)\/35*-2*x - -25. Calculate the greatest common divisor of g and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3154*o - 3157*o - 99 + 69 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Let y(u) = 13*u**2 + u - 29. What is y(v(z))?\nAnswer: 52*z**4 - 2*z**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(363) + sqrt(363)*3*3))**2.\nAnswer: 145200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396361, 396362, 396363?\nAnswer: 396364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 33 (b) -2 (c) -397\/3 (d) 0.4 (e) 24\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 144?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 341229193 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -2827?\nAnswer: -2827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*v + v**3 - v**2 + 79*v + v**3 + 3*v**2 to the form o*v**2 + q*v**3 + n*v + k and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -563 * -15861.\nAnswer: 8929743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + -4*sqrt(288) + 3 + -1)**2.\nAnswer: 96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*352\/(-198) - 2\/(-9).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 4*s = -17*g - 16, 0 = -3*s. Solve 2*k = -4*r + 24, 3*r - g = -3*k + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 3*n**2 + 2*n + 2. Let k(o) = 4*o**3 + 10*o**2 + 7*o + 6. Let y be 0*(-2)\/6*-1. Suppose y = -2*z, -5*i = -0*i + 5*z - 35. Give i*h(t) - 2*k(t).\nAnswer: -t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022021122 + -21221?\nAnswer: -1022120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 497011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/5, -0.5, -168.\nAnswer: -168, -0.5, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3951*h**2*z + 2*h**2 + 33*h*z + 9*h - 7594084*z - 7 wrt h?\nAnswer: 7902*h*z + 4*h + 33*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110014.4726 rounded to the nearest ten?\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + 1. Let j = -0.17 - 0.83. What is the nearest to a in 0.2, -0.3, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7310075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168895, -168871, -168821, -168733, -168595, -168395, -168121, -167761?\nAnswer: -167303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10493632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16562?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 - -3) + -1)\/((-1)\/(-1)). Suppose 4*b - j*b + 1 = -3*f, -3*b = -5*f - 8. Sort -4, -7, b in descending order.\nAnswer: b, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -24. Find the third derivative of 18*i - 7*i**c + 4*i**3 - 18*i wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1585*n**3 + 438 - 1626*n**2 + 443 - 1323 + 442 wrt n?\nAnswer: -9510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8264 minus 8?\nAnswer: 8256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 89370.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152 - -161. Let i(t) = 5*t - 25. Let g be i(l). Solve 4*o + 3*v + g = 4, -3*v = 5*o + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 4*b - 1. Let r be y(-3). Suppose 16*t - 21*t = -r. Let v(c) = 6*c - 3. Let l be v(t). Solve -2*z = 5*q - 4, -l*z + 4*z - 2 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1507, -1199, -889, -577, -263, 53?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 271071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 244*a**2 + a + 79*a**2 - 53*a**2.\nAnswer: 270*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3\/o)\/(o**(3\/4)\/o))\/(o*o**6*o\/(o*o**3)) assuming o is positive.\nAnswer: o**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17065864 and 105492.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -16, 31, 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-21) + 87\/21. Suppose 6929 = z*r + 9*r. Suppose j = 3*n + 553, j = 3*n - 5*n + r. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1390*p**2. Let i(z) = -z. What is r(i(n))?\nAnswer: 1390*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 3 - 2*o**2 + o**2)*(2 + 2 - 1)*(4 - 6 + 20).\nAnswer: 108*o**2 + 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17081541 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 - 121. Let s = p + 498. Calculate the highest common factor of s and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/8)*(((p\/p**13)\/p*p)\/p)\/p*p)\/((p\/(p**(-1\/10)\/p))\/p*p*p\/(p\/(p*(p*p**29)\/p))*p) assuming p is positive.\nAnswer: p**(-1809\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22114802+-5\nAnswer: 22114797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -791*q**3 + 1998*q - 5145726.\nAnswer: -2373*q**2 + 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1753 times -371767\nAnswer: -651707551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 114. Suppose -n = 8*q - 40. Solve q*i + 1 + 4 = 3*o, 4*o = -2*i + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a**2. Let b(v) = -v. Give b(m(q)).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 18*w + 33 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(208) + -1.\nAnswer: -12*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7494 - -7493. What is the closest to -0.2 in -3, c, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 147?\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y - 79481*y**3 + 3 + 22*y.\nAnswer: -79481*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112032 - -13?\nAnswer: 112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940991 is divided by 187109?\nAnswer: 5446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -3, 1\/17, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5) + 192 + -184?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*w + 7, -33*q - 5*w + 1 = -30*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 2306?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 0.3 (c) 2\/11 (d) -40.7 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -1\/2*n**3 - 3\/2*n**2 + 26*n + 0 + 3\/20*n**5 + 1\/4*n**4. Factor r(g).\nAnswer: 3*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 3*k**2 - k - 6. Let d(g) = -2*g**3 - 2*g**2 + 3*g - 5. Let h(t) = -t**3 - t**2 + t. Let n(j) = -d(j) + 4*h(j). What is 6*n(w) + 5*p(w)?\nAnswer: -2*w**3 + 3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4643014956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*s - 5*s, 5*t + 25 = -2*s. Calculate the remainder when 4\/t*(-2 - 91 - 0) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -33. Let m = t + 68. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79106.75 hours to seconds.\nAnswer: 284784300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fokk. Give prob of sequence ko.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 542377 to the power of 1\/2, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 10:50 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 43. Let s = 104858 + -104850. Calculate the remainder when a is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.9689987737 - -20\nAnswer: 31.9689987737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3\/4, -0.02, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 48570 = g, 0 = -4*g + 2*p + 157354 + 36902. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -118510.\nAnswer: -3\/118510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/15*(9\/((-5400)\/30))\/(6\/50).\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233397, 233391, 233383, 233373, 233361, 233347, 233331?\nAnswer: 233313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7187874s in microseconds?\nAnswer: 718787.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*f + 59*f - 13*f - 4*f**2 + 5*f as y*f**2 + b + x*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480713 to the power of 1\/2, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11968012 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0063956252 rounded to 5 dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 5*g**2 + 0*g**2 + (2*g**2 - 1 + 1)*(-3 + 1 + 1) - 43*g**2 + 570*g - 570*g - 7*g**2 + 3*g**2 + 2*g**2.\nAnswer: -51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 7, g: 5}. What is prob of picking 1 e and 1 l?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.969 - 0.031. Let u = -32 - n. What is the closest to -0.1 in 3\/5, -1, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7.93. Let k = -0.0415 + 0.5415. What is the closest to -1\/2 in 1, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*i - 60 = -23*i + 20. Sort -495, i, -2, -5 in decreasing order.\nAnswer: i, -2, -5, -495","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -j - 22. What are the prime factors of 111\/j*(2 + (-316)\/(-3))?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -487, -1635, -3877, -7579, -13107?\nAnswer: -20827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5830, -11661, -17492?\nAnswer: -23323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 2*v**2 + 2*v**2)*(2*v**3 - v**3 - 2*v**3) + 73*v**5 - 6*v**4 + 6*v**4.\nAnswer: 70*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b + 2*r - 36, -r + 36 = 3*b. Suppose b*u = 15*u - 27. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19642 and 37030.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 2:56 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17120.94 - -17121. What is the closest to -0.1 in 0.6, -14, -1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 2. Suppose 0 = -3*i + 60 - 54. Solve g*k + i = -2*w, 5*k - w + 6 = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 11. Suppose r*n = -4*n + 16. Let f(c) = -c**3 - c**2 + c. Let u(y) = -3*y**3 - 2*y**2 + 4*y. Calculate n*f(j) - u(j).\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21519101 - -21519080.000034. Let j = 20.58 + 0.42. Let q = c + j. What is q rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 + o**2 + 1. Let c(w) = -10*w**3 - 13*w**2 - 31*w - 15. Let m(v) = -c(v) + 3*i(v). Give m(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 5 + 0 + 0. Let d(j) be the first derivative of -4*j**3\/3 - 11*j - 12. Let x(r) = -r - 16. Let y be x(-7). Give y*t(s) + 4*d(s).\nAnswer: 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t. Suppose -3*x + 4*m - 40 = -5*x, t = 5*m + 10. Suppose -3*c - c + x = 0. Solve -4*i + c = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**3\/6 + 760*r + 1. Let d(w) = -w**3 - 4*w**2 - w + 1. Calculate -d(l) + 3*k(l).\nAnswer: l**3 + 4*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -119 (c) 0.2 (d) 0.3 (e) 4 (f) -9\/4 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -1)*-1 + sqrt(448)*-2*4.\nAnswer: -72*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*j + 57288, 5*j - j + 114546 = -2*d. Let w = j + 77834. Round w to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 7:04 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*j*p - 351094*g*j*s + 1065*g*j - 3*j*p*s + 50204*j*p - 2*s wrt s.\nAnswer: -351094*g*j - 3*j*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -12 + (2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 4*r = -8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 6*n**2 - 565*n + 565*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2641.189 weeks to days.\nAnswer: 18488.323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b**2 - 10*b**2 - 1 + b + 6. Let q be k(0). What are the prime factors of 12\/q - (-6)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26.4 and -55.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from {y: 2, q: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 215.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 6*o + 2*o. Let s be t(5). Which is the closest to 0.17? (a) -0.2 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 14, 1.\nAnswer: -8, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0 - 20. Solve -4 + d = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5005567 to the nearest integer?\nAnswer: 2237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219237848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328410, -1310666, -2947760, -5239692, -8186462, -11788070?\nAnswer: -16044516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -52. Let k(p) = 3 + p**3 + 7*p**2 - 2*p - p**2 - 2*p**3. Give k(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.78538 and 14.\nAnswer: -10.99532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.79 times 36?\nAnswer: -496.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127936.\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxxbbrrrrbcr. What is prob of picking 1 b and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 9 = 3. Let b be (-16)\/(-16) - (-2 + 0). Suppose 0 = 3*p - 4*n + 55 - 371, b*p - 328 = -2*n. Calculate the highest common divisor of p and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1663.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 115839001 and -1240579?\nAnswer: 117079580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12406166 - 5?\nAnswer: -12406204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 less than -0.979?\nAnswer: -2.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 4 - 6 - -92. Let u = 76 - k. Let h be (-3)\/(-2)*-14*u\/9. Is h at least as big as 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 15*z + 100 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.7, 0.4, 5\/6?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 - 2623344*y + 2623348 = 0.\nAnswer: -655837, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 + 1058781*p\/2 - 2117563\/4.\nAnswer: (p - 1)*(p + 2117563)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450.158266 rounded to 1 decimal place?\nAnswer: 1450.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-5) + 4\/(-10). Let n = u - -2. Let g(i) = i**3 - 3*i**2 - 3*i + 6. Does 10 divide g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.092 and -181.\nAnswer: 16.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8546768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1601 - -2351. Suppose 8*n - v - 258 = 0. Calculate the greatest common divisor of 42 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**2*v**2 - 1497*l**2*v + 3*l*v - 23289*v**2 wrt l?\nAnswer: -2*l*v**2 - 2994*l*v + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1403 = -2*h - k, 3*h + 3*k - 2087 = -2*k. Let u = h + -642. Calculate the highest common divisor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -998 - -1002.89. Let u = g - -0.11. Let x = u - 0. What is the nearest to 0 in 0.4, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5909*h - 14166*h - 2762*h.\nAnswer: -22837*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/71786 and 68\/33?\nAnswer: 215358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(8)\/sqrt(4)) - (2 + sqrt(5))*-3 - (sqrt(405)*1*2)**2.\nAnswer: -1614 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 - 18*x**2 + 14*x + 30. What is the units digit of i(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = -6*l. Which is the second biggest value? (a) l (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 0.4, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/(510\/4560*209)?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27247*u - 3 - 27091*u - 3 to v + f*u and give f.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 217588712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 995*f**2 - 2 + 713*f**2 - 1718*f**2 + 2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1649.5 + -1650. What is the fourth smallest value in w, -0.03, 0.59, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiv when three letters picked without replacement from {i: 2, v: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77814 or 77810?\nAnswer: 77810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 1. Let j(n) = n**3 - 7*n**2 + 2*n + 11. Let g(c) = j(c) + 2*s(c). Determine g(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - (-97 + 67)) + (77 - -3).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -5. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11904665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 10. Is 25 != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2 + 6. What is the remainder when 10 is divided by 6*h*(-1)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3305 - 0.33050245. Round o to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 216*r*s**2 + 464*s**2 wrt r.\nAnswer: 216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4556, 4558, 4560, 4562, 4564, 4566?\nAnswer: 4568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 14*m**2 - 25*m + 55. Determine o(15).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6188 and -59\/476?\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13.5 in -125, -0.081, 1?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -157887.64189 rounded to the nearest integer?\nAnswer: -157888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-6))\/(1\/9). What is the lowest common multiple of 144\/o + (-6)\/(-15) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4040, 4036, 4032, 4028?\nAnswer: 4024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 455*l - 460.\nAnswer: 5*(l - 92)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.3 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-766804)\/20 - (-2)\/10. Let k = z - -17751444\/463. Let v = k - 26631\/4630. Find the common denominator of -31\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + h**4 + 3*h**4 - 3*h**4 + 6*h**4 - 5*h**4 + (-5*h**2 + 4*h**2 - h**2)*(-3*h**2 + 4*h**2 - 3*h**2) + 5*h**4 - 61*h**3 + 35*h**3 + 27*h**3.\nAnswer: 10*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 0. Let k(l) = 2*l + d + 0 - l. Let q(n) be the first derivative of 2*n**3\/3 - 1. What is q(k(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 10*i**2 - 11*i + 15. Calculate the least common multiple of 7 and p(-11).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppg when four letters picked without replacement from pgappaajlllijlp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -6, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 59*o**2 + 3*o - 156. Let c(r) = 20*r**2 + r - 55. Let m(t) = -17*c(t) + 6*g(t). Let z(l) = l - 1. Give -m(y) + z(y).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23327, 46653, 69983, 93317, 116655, 139997, 163343?\n\"Answer: 2*q**2 + 23320*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q. Let m be u(3). Suppose 16*i - 16 = m*i. Suppose 3*j + y - 146 = 0, 0 = j - 0*j + y - 52. What is the remainder when j is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**4\/38 + 68*z**3\/19 + 3276*z**2\/19 + 63504*z\/19 - 3693. Find a, given that u(a) = 0.\nAnswer: -42, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hajaacchcacjacccc. Give prob of picking 1 h and 1 j.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-35)*-2)\/(4\/(-7)). Is 0.4 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - p - 253 = 0, 4*p - 2*p + 314 = 5*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + -57 - (-7 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -14 - 12*(-20)\/(-20).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11094 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1260*u*y**3 - 2482*y**3 wrt u.\nAnswer: 1260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 120, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 102636?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.79 * 7.747.\nAnswer: 6.12013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 7*a - 4. Let l(d) = -2*d - 9. Let y be l(-7). What is j(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16143 and 366?\nAnswer: 1969446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 562*s + 6 + 599*s + 5 + 590*s - 1734*s.\nAnswer: 17*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20 - 1)\/(-7) + 3 + -1. Suppose f*v + 3*k = 80, 5*k - 12 = v - 28. Suppose 5*n = n + v. Solve 2*c + 12 = -n*j, -2*j - 7 = -1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*w + 5*w - w**2)*(191*w - 195*w + 579*w).\nAnswer: -575*w**3 - 575*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o + 52*o - 21*o)*(-53 - 18 - 14) + 3*o + 2*o - 3*o.\nAnswer: -1783*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k. Let y(u) = -6*u. Let m(j) = -5*i(j) + 4*y(j). Suppose 14 = 5*l - 16. Let z(p) = -l*p + 6*p + 4*p. Give z(m(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -25. Suppose -b*z + 34 - 4 = 0. Suppose z = 7*y - 8. Solve 2*g - 4*s = -y*s, 0 = -g - 4*s - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/3 - 383*i**3\/3 - 1559*i**2\/3 + 1421*i - 774 = 0 for i.\nAnswer: -6, 1, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + 425*d - 176. Calculate o(-85).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59\/195 - -2\/65. Let u = -0.3 + 0.4. Which is the third biggest value? (a) 0 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1447 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10864446913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + (1 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250 a factor of 14222169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*j - 2097 = 214*j. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9027065 or 9027066?\nAnswer: 9027066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62031959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133003?\nAnswer: 13, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.060058\nAnswer: -0.0180174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 194*s + 11. Let i be v(-1). Let u = i + 184. Solve 3*o + u = 4*y, -4*o + y = -0*y - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/(39\/(-140))*(-2)\/8. Calculate the highest common factor of 2485 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 61 = -11. Calculate the common denominator of (-312)\/65 - 1\/(-4) and (-201)\/k + 2\/8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -c + 68 - 131, 2*c = -22*k - 2*c - 148 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -25\/2*l**2 + 2*l**5 + 0*l + 32 + 0*l**4 + 0*l**3. What is the second derivative of i(w) wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(45)\/(sqrt(90)\/(sqrt(10)*2) + sqrt(9)) - (-4 + sqrt(5) + (-3*sqrt(5))**2 + 3 + sqrt(5) + 2).\nAnswer: -45 - 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -623, -662, -751, -914, -1175?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (412\/(-10506))\/(2\/6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7) + (12 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 17*q**2 + 120*q - 142. Determine s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*g - 8, -4*g + 2*j - 3*j = 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*m + 6 + 11 = 0, -2*w + 5*m = -8. Let v(l) = -4 - 22 + 10 + 18 + 8*l - l**2. What is v(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/205473 and 43\/30.\nAnswer: 2054730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -16 + 1. Suppose 9*w = 15*w - 426. Let o = w + -72. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 12 = -3*a, -8*a + 3 = -11*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 439865 and -305.\nAnswer: 439560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 5*j**2 + 4*j + 4. Let r = 5 + -3. Suppose -r*i = -6*n + n - 9, 3*n - i + 6 = 0. Is q(n) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 - 378*i + 152. Let t be p(-76). What is the biggest value in -4, -1\/3, -521, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 2, -3\/22, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-30))\/((-2)\/(-35)). Calculate the greatest common factor of 63 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*t + 1239*t - 618*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**4\/12 - a**3\/3 + 8*a**2 - 21*a. Let r be m(3). Solve r = 2*u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/92 (b) -4.7 (c) 1 (d) 3 (e) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let s(l) = -l**2 + 1672427*l. What is s(u(d))?\nAnswer: -4*d**2 + 3344854*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30333 + 1?\nAnswer: 31000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6200*t**3 + 125*t**2 + 625*t + 125. Let i(r) = -200*r**3 + 4*r**2 + 20*r + 4. Give 4*g(u) - 125*i(u).\nAnswer: 200*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/8 + (-4)\/16. Suppose q*k - k - 16 = -4*z, -4*z + 4*k = 8. Solve -2*p + z = 4*d, -p + d + 3*d = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 15 = -1. Let b(d) = -2*d**3 - 19*d**2 - 17*d - 1. Let l(v) = -3*v**3 - 29*v**2 - 25*v - 2. Let t(k) = 7*b(k) - 5*l(k). Is t(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532, -1756, -4376, -9094, -16612, -27632, -42856, -62986?\nAnswer: -88724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -1\/428, 9, -2?\nAnswer: -1\/428","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, o: 3, u: 2, w: 6, x: 2}. What is prob of sequence uw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003787 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(((-138)\/(-23))\/168)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1241*v + 47111 = 141427 for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -87*c**2 + 9*c. Let g be l(1). Let v be (-9)\/2*176\/6. Let j = g - v. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbhklkhfebb. What is prob of picking 2 l, 1 b, and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-11)\/b)\/b)\/(b*b\/b**(-2\/3)*b)*b**(2\/3)*b**13*b assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 787144, 787145, 787146?\nAnswer: 787147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkssnnskksknssssnss. What is prob of picking 2 k?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 839 + 837 - c. Determine b(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 8*g**3\/3 - g**2 - 8*g - 14. What is the first derivative of a(o) wrt o?\nAnswer: 16*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3 + -1*sqrt(2057) + 2 + 2 + (sqrt(2057) - (3*sqrt(2057) - sqrt(2057))) + 4)*3)**2.\nAnswer: -1452*sqrt(17) + 74173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2 + 5. Suppose -2*u + 80 = s*u. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**3 - 3*u**2 + 2*u. Let o be p(1). Suppose a = -3*a - 3*h + 12, 0 = -5*a - o*h + 15. Solve -4*s + 3*s = -a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*y - 11*y + 6348. Is -52 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7270 by 1454.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 + 30*a**3 - 225*a wrt a?\nAnswer: -24*a**2 + 180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-100)*16\/(-3)*1065\/2840\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 15*z**4 - 280*z**3 - 105*z**2 + 190*z = 0?\nAnswer: -1, 0, 2\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19119 and -7?\nAnswer: 19126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*h + 2)*(-104*h + 2531 - 2531) + 3*h**2 - 2*h + 2*h.\nAnswer: -205*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 1. Is y < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2727621, 2, -13 in descending order.\nAnswer: 2727621, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*h + 13 = 0, 3*s - h = 5*s - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149508581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v + 12*v + v**2 + v**2 - 3*v**2 + 5 + 3*v**2. Let w(m) = m**2 + 8*m + 2. Determine 8*w(u) - 3*x(u).\nAnswer: 2*u**2 - 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439292455 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llulllllluu. What is prob of picking 1 l and 3 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*g + 3*n, 5*g = 3*g - 3*n - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 6*m + 327. Give h(25).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = 1. Factor 2*d**w - d**3 + 2*d**2 - d - 2*d**3.\nAnswer: -d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. Let o(c) = c - 8*c - 5*c**2 + 8*c + w*c + 5 + 3*c**3. Let q(a) = -4*a**3 + 6*a**2 - 6*a - 6. Suppose 2*b + 20 = -2*b. What is b*q(t) - 6*o(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 9*p**2 + 8*p + 2. Let y be v(8). Find the first derivative of -2 + c**2 - 2*c**y + 0*c**2 wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1585265 divided by 7585.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 - 21*a - 14. Let n be y(5). Let k(d) = 1094*d - 41. Is k(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.05853.\nAnswer: -0.05853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20403\/(-36)*12*1. Let c = v - -95271\/14. Calculate the common denominator of c and -67\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6295*10\nAnswer: -62950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165801?\nAnswer: 3, 17, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072954367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-12)*(0 - -1). Let v be 34\/(-10) - (-2)\/5. Let u = h - v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 16) to base 7.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*y + 337*y = 126 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 + 126. Put 6, d, -2 in decreasing order.\nAnswer: 6, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 122, 126, 130, 134?\n\"Answer: 4*a + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1550.\nAnswer: -3\/1550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40\/13? (a) -3 (b) 1\/4 (c) -14 (d) 2\/1085 (e) -2 (f) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 + 0)*(4 - 5 - p**2 + 2*p**2) to the form s*p**2 + w + y*p and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46311270*i**3 - 2096737*i**2.\nAnswer: -277867620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*m + m**3 - 28*m**2 + 5*m + 0*m**3 - 2 to x*m**3 + u*m + h + f*m**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -1174 in decreasing order.\nAnswer: 5, -5, -1174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 6, m: 1, y: 4, l: 1, d: 2}. What is prob of sequence ymly?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1870117 divided by 47.\nAnswer: 1870117\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 41*g + 8 = 39*g, -g = -y. Solve 4 = 2*i, 5*w - y = 4*i + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-6))\/(-4*(-1)\/(-6)). Factor 16*x - 42*x - x**g + 18*x - x**2 - 8.\nAnswer: -2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57372 (base 11) in base 7?\nAnswer: 463610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1599*d**4 + 257*d**3*s - 3*d**2*s - 8*d*s + 1603 wrt d?\nAnswer: 38376*d + 1542*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.288 * 17.08\nAnswer: 21.99904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 + 7*n**2 + 7*n**2 + 8*n**2 - 13*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p. Let w(n) = n**2 - 83*n + 664. Let t be w(9). Let s(y) = 28*y + 1. What is t*s(o) + 7*r(o)?\nAnswer: 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -54 + -7 + (25 - -10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10114\/(-1264) - 27\/(594\/(-176)). Suppose 3*h + 6 = 3. Which is smaller: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (440*f - 1209*f - 733*f)*(1 + 2 - 5).\nAnswer: 3004*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 151917496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 24*q**2 - 40*q + 2. Calculate the remainder when (-9)\/15 + (-26)\/(-10) is divided by t(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) -2\/7 (c) 2\/13 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 4*w + 3*w)*(-5 + 2 + 1) + 3 - 3 + 2*w + 2 - 2 + 5*w + w + 0*w - 3*w + (3 - 1 + 0)*(-2*w + 3*w - 2*w).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 3 - 3 + (-4 + 0 + 2)*(2*j + 4*j - 4*j) - 3*j - j - 4*j + (3 + 2*j - 3)*(8 - 31 - 4) as v*j + w and give v.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480008.7 centuries to years.\nAnswer: 48000870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-4) - (14 + -21).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17261 + 2011 = -22*u. Let q = u + -44. Round q to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4926 - 4968 = -9*x - 5*x. Solve 5*g = 4*t - 21, 0*g = 3*t - x*g - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 2*p**2 - 4*p - 3. Let t(f) = 4*f**3 - 9*f**2 + 16*f + 12. Let h be 3 + (-8 - (3 + 1)). Let d(v) = h*z(v) - 2*t(v). Determine d(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 - 171 = -33*z. What is the remainder when 4\/(-6) + (-166)\/(-6) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -1256?\nAnswer: -1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 7, 16, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(128)*-1 + sqrt(128) + -1 + sqrt(128) + -4 + sqrt(128) + ((4 + sqrt(128) + (sqrt(128) - -1*sqrt(128)))**2 - (sqrt(128) + sqrt(128)*-1*-3)**2).\nAnswer: -884 + 208*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-153)\/(-3))\/3 + 1. Let h = 48 - g. What is the highest common divisor of 75 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 5:33 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 4. Let y be g(6). Suppose -2*j = 4*d + 128, y*j + 166 = -5*d + j. Let u = d + 72. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 9. What are the prime factors of j(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/20*1114 + 4\/(-10). Find the common denominator of n\/(-12)*2 + -2 and -47\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*v + 15*v + 28*v + 20*v - 7*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y**3 - 2*y**2 + y + 1. Let n be r(-2). Let x be n\/(15\/(-80)*-4). Calculate the highest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*j = -64, -h - 3*h = -j + 76. Is (-3)\/12 + h\/(-16) - -4750 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 9, 4, -1, -6, -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/3 (b) -3 (c) 0.1 (d) -0.078\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 80729.56mm?\nAnswer: 0.08072956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-36)*v**5\/((v\/v**(-1\/4)*v)\/v))\/(v**(-18)*v**(-2)\/v*v*v**(1\/2)) assuming v is positive.\nAnswer: v**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express -8*r + 1 - 3*r + 5 + 3*r as o*r + p and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxjgxxglgxxxgjj. What is prob of picking 4 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(27\/21)*13\/4 and 71\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 13 = -39. Solve 0 = -3*m + 12, 2*p + k*m = -0*p + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - u = 2*u + 256, -u + 1 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*r**2 - 183*r**2 + 69*r + 71*r**2.\nAnswer: -274*r**2 + 69*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 + 0*x**4 + 0*x**4 + 0*x**4 - x**4 + 0*x**4 + (-4*x**3 + 6*x**3 - 3*x**3)*(x + x + 0*x) - 153 + 7*x**3 + 6*x**4 + 153.\nAnswer: 6*x**4 + 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -q + 1, -4*q - 3 - 8 = -5*i. Let a be (4 - 5)*(i - -1). Factor 1\/3*k**5 + 1\/3*k**4 - k**3 + a - 5\/3*k**2 - 2\/3*k.\nAnswer: k*(k - 2)*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiiw when four letters picked without replacement from fikwwkfkiff?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-687)\/(-15) + -46 + ((-33)\/40)\/(-1)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + c - 2. Let u be -1 - 8\/12*-9. Let z(j) = j**3 - 4*j**2 - 6*j + 7. Let p be z(u). Give l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -57. Suppose -2*v + 4 + 276 = g. What is the remainder when v is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 7. Let q be ((-15)\/12)\/(3\/w). Suppose -2*i + 5*u + 25 - 2 = 0, 3*i - q = 3*u. What is the remainder when 17 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9162514 * 1\nAnswer: 9162514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - b = 18*y + 19, 5*b + 10 = -2*y. Suppose -y*d - 4*d = -d. Solve d = o - 0*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -50*p - 287 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 21. Let m be (-42)\/s - 2\/8. Is 14 + m\/(15\/(-6)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171326549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 329, 157, -35, -253, -503, -791, -1123?\nAnswer: -1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*2040\/(-153)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 410 - 1301. Suppose 0 = -3*p - 12 + 3, 5*p = 5*z + 75. Is (r\/z)\/((-2)\/(-68)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*w - 6. Let x(r) = w*r - 14*r - r. Is x(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) - 7\/(-3). Suppose 0 = 4*k - 5*k + 78. Suppose -b*d + 5*d = k. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-3\/11)\/x)*x\/(x\/(x\/(x*x**(-22)*x*x)*x)) assuming x is positive.\nAnswer: x**(245\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(0 + 1 + 1)*(-4*q + 5*q - 4*q)*(0 + 1 - 4).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 5:58 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from llllbbpbmgzbgg?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doo when three letters picked without replacement from dmyoyo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 51 + 39. Suppose 2*c = -y + 4. List the prime factors of (-1)\/(1\/c*1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4353*b + 4358*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 343 + -339. Let z = 58 - 59. What is the closest to z in -4, -3\/8, k, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-4)\/8 + 4. Find the first derivative of -6*o**2 + 6 - w + 8 + o**2 wrt o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 26*i = -12. Does i = 9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 9*f + 10 = 4*h, -5*h = -4*f - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -21*d + 2441. Let t be b(116). Let c(q) = -q**2 + 1. Let v(x) = x**2 - x - 3. What is t*c(y) + 2*v(y)?\nAnswer: -3*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 959051, 1918109, 2877167, 3836225, 4795283, 5754341?\nAnswer: 6713399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/13 - 424*t\/13 + 426\/13.\nAnswer: -2*(t - 1)*(t + 213)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 12 + -5 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237965 by 107.\nAnswer: -237965\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52156851 to the power of 1\/2, to the nearest integer?\nAnswer: 7222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.088569.\nAnswer: -0.354276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -10, -1, -4 in decreasing order.\nAnswer: 3, -1, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034591.18 rounded to the nearest one hundred?\nAnswer: 1034600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21248774 or -0.1?\nAnswer: -21248774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210\/739 - 6170020\/2217. Let q = -2808 - y. What is the common denominator of 26 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 3*r**2 + 6*r**3 - r**2 - r**3 - 9*r**3 in the form z*r**2 + w + j*r + m*r**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-4)*(f*f*f\/(f**(-3\/7)*f))\/f)\/(f**(2\/5)*f)**27*((f\/f**(-6))\/f*f**(-1))**(1\/4) assuming f is positive.\nAnswer: f**(-4217\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1) + (19 - -3). Let v be ((-4)\/12)\/(-1 - (-20)\/24). Solve v*z + 3*z = q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 816448606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:44 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/10551 and -151\/6.\nAnswer: 21102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (834\/42 - 20) + (-30)\/(-406)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = y - 24. Let x = y + 75. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -8.6.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2042, 1937, 1816, 1673, 1502, 1297?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g + 56 = 71*g. Solve 5*a + k - g*k - 20 = 0, 5*a + k = 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6*n**2 + 2*n - 5. Let v be p(4). Let t = v + 86\/3. Let a(i) = -i**3 + 6*i**2 - 8*i - 7. Let x be a(4). Which is bigger: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*f - 2, -5*f + 4*u - u = -15. Let c(g) = -f*g + 4 + g**2 - 2 - 4. Suppose 2*z - 33 = -4*y - 3, -y = 4*z - 25. Determine c(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -86, -53, 6, 103, 250, 459, 742?\n\"Answer: 2*k**3 + k**2 + 16*k - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 112\/840 - (3 - (3 - 47\/15)). Let j(f) = -f**2 + f - 1. Let x(g) = 5*g**3 + 10*g**2 - 10*g + 10. What is r*x(c) - 30*j(c)?\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000130077 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -3*a. Suppose 4*n + 1 = -3*r, a - 9 = n + 3*r. Suppose -17*o = -14*o - 6. Calculate the remainder when o is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -n - 2*l + 3*l, 3*n - 199 = 2*l. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67287 or 67379?\nAnswer: 67379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**5 - 145*p**4 + 1230*p**3 - 2390*p**2 - 1235*p + 2535 = 0. What is p?\nAnswer: -1, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/13 + 3096*g**4\/13 + 865624*g**3\/13 - 21097540*g**2 - 828817050*g\/13 - 553686500\/13 = 0. Calculate g.\nAnswer: -865, -2, -1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0 + 0)*(22 - 22 + 2*b**2 - 4*b**2 + 2*b**2 + 3*b**2 + (2*b - 5*b + b)*(-b + b + 2*b) + 6*b**2 - 5*b**2 + 5*b**2).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-28) + (-1476)\/(-504). Put -10, 15, u in increasing order.\nAnswer: -10, u, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3 - 34*i + i**2 - 36*i - 4 + 67*i. Calculate p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 2*p)*(-1 + p**2 + 1) - 474*p**3 - 488*p**3 + 14*p + 961*p**3 - 17*p**2.\nAnswer: -3*p**3 - 17*p**2 + 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19700828 + 327711?\nAnswer: -19373117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z + 20*z + 20*z + 34*z - 81*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.012 - 4.988. Let n = 2\/133 - -36\/133. Which is the closest to -0.2? (a) n (b) -2\/11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*o - 142*o - 140 = 0. Which is smaller: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/17 (b) 5 (c) -2\/7 (d) -123.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8307009*c. Let d(t) = 5*t. Calculate d(r(v)).\nAnswer: 41535045*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*w - 195 + 191, 3*w - 13 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167 or -165?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 1 + 10*j**2 + 10.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/199593 and 77\/1809.\nAnswer: 598779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -231349468 rounded to the nearest 10000?\nAnswer: -231350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssaiitsa. What is prob of sequence aa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19205 and 57.\nAnswer: -1094685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3076 (base 8) to base 13\nAnswer: -95c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -235, -234, -233, -232?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 165\/(-60)*(0 - 60). Solve 158*q - r*q = -35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6124 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -1907.19.\nAnswer: -17164.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111794 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 139118?\nAnswer: -13911a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.19, 0.6, 35?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - -4.5. Let o = 389\/516 + -1\/258. What is the nearest to 0.2 in 0, o, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + a**2 + 21*a + 13*a - 8*a**3 - 31*a to the form j*a**3 + d*a**2 + k*a + r and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2. Let x(c) = 30*c**2 + 8. Let b(r) = 11*r**2 + 3. Let i(u) = -8*b(u) + 3*x(u). Give h(i(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2. Let f(g) be the first derivative of 2*g**3 + 16. Determine o(f(a)).\nAnswer: -180*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -75888938 divided by -2\nAnswer: 37944469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/13))\/(f*f**(-26))*(f*f*f\/f**(-1\/3))\/f*f\/((f\/(f*f\/(f\/f**(1\/18)*f)))\/f)*f)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 0 - (688 - 678) - (-23 + 7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + w + 4, 0 = -4*b - 2*w - 3*w - 6. Put b, 9, -5 in descending order.\nAnswer: 9, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62326 (base 14) in base 3?\nAnswer: 110000120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-60)*-4 - 269\/(-5). Let x = -18739\/10 + 1876. Calculate the common denominator of 51\/(-34)*(-284)\/v and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 + -99. Suppose -9*q + 31 = -s. Calculate the lowest common multiple of 58 and q.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -530 + b + b + 528 + b**3 to t*b + c + w*b**3 + m*b**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/4, -4\/5, -1\/5, 1.087376?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 = 3*p - 4*o, 0 = p + 3*o - 18. Suppose 3*r - 21 = 2*w - 19, -2*r = -w - p. Solve -7 - w = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-18)*(-1638)\/(-780). Is s > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 - 7044\/(-108). Let f = c - 47. 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: Calculate prob of sequence bpl when three letters picked without replacement from lnlxcbp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84880 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k - 23*k + 5 - 127*k**2 - 81*k**2 + 281*k**2 + 10*k + 2.\nAnswer: 73*k**2 - 3*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (91\/(-7) + 12)\/((-21)\/(-6) + -1). Let c = -2.5 + 1. Which is bigger: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j = -148. Let n = j + -23. Let r be ((-10)\/6)\/((-6)\/(-18)). What is the closest to 1\/4 in n, r, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3109645 and 274659?\nAnswer: 270539115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + m - 2*m + 262 = 0, -5*m = -4*s + 381. List the prime factors of s.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812337 to the power of 1\/2, to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154305 and 67310.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162166 is divided by 53156.\nAnswer: 2698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjjjjjiiiiijjjjjjj. What is prob of picking 2 i?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-8) + (-8)\/128*6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*q**2 + 106*q**2 - 56*q**2 - 33*q**4 + 3*q + (-2*q - 3 + 3)*(4*q**3 - 4*q**3 - 2*q**3).\nAnswer: -29*q**4 - 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/12 - r**3\/2 + 3*r. Let a be c(3). Is -2 - (24 - a)\/(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49502285.\nAnswer: 5, 7, 163, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 601*j**3 - 1806*j**3 + 606*j**3 + 600*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5220 divided by 116.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7858 + 7994. Solve 69*x = h + 71 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16661, 65120, 145885, 258956, 404333, 582016, 792005?\n\"Answer: 16153*j**2 + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -678764*-0.4\nAnswer: 271505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-25804.403\nAnswer: -10321.7612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 t, and 1 m when three letters picked without replacement from fmyyyymt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21788 plus -954?\nAnswer: -22742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 l when three letters picked without replacement from {i: 1, w: 1, l: 1, g: 3, d: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1129622 and -25\/2723938.\nAnswer: 814457462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*z + 15715 = -4*z, a - 3*z = 7844. Calculate the remainder when a is divided by 391.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3 and -139\/270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31935620.65915 and 0.5?\nAnswer: 31935621.15915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 303803 - 16*b**2 - 3*b - 303695 as p*b**2 + j + h*b and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13657737?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*z - 33, 0*z + 3*z = -3*q + 21. Let n be (z\/(-15))\/((-1)\/10). Suppose 2*u + 94 = 4*b - n, -b = 2*u - 28. Is b 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 177 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34842757 a multiple of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 103 + 2*b - 94 + 398 - 103.\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let r(k) = k. Let h(v) = -3*d(v) - 7*r(v). Let u(l) = -5*l**2. Let g(s) = 17*s**2. Let i(t) = -6*g(t) - 21*u(t). What is h(i(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 584724707 - -0.4\nAnswer: 584724707.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + 1 - (1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15203535286 less than -10?\nAnswer: 15203535276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/35 or -69?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 592 - 99. Let s = w + -270. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*a - 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 3\/(-6))*2. Let f = 4 + z. Is (f - 19)*(-2)\/1 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3836 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03022678 > 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/15 (b) -22 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**(-42)\/((q*q**(-2\/5)*q)\/q)**(-2\/11) assuming q is positive.\nAnswer: q**(-764\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 23. Let h be y(-7). Suppose -156 = -x - 5*n, -4*x + h*x = -3*n + 158. Suppose x = 2*b + 11. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23712032 to the power of 1\/2, to the nearest integer?\nAnswer: 4870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**3 + 77*k + 1290. Let w(g) = g**4 + 15*g**3 - 156*g - 2582. Let o(i) = -5*t(i) - 2*w(i). What is the derivative of o(u) wrt u?\nAnswer: -8*u**3 - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2121 by -21.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 + 1. Let q(z) = 21*z**3 + 7*z**2 + z - 6. Determine 6*d(i) + q(i).\nAnswer: 15*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2697 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59360 - -298354\/5. Is g at most 311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -5. Let i be (-6)\/(-15) + 36\/k. What are the prime factors of (i - 0)*(1 + -7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -9.057\nAnswer: -1.8114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2256*f**2 - 2265*f - 9.\nAnswer: -3*(f + 1)*(752*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 6 = -5*u, 8*l = 9*l + 3*u - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 12) in base 4?\nAnswer: 10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 174*n**2 - 15*n**4 + 410*n**2 - 191*n**2 wrt n?\nAnswer: -360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 25486454.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*p**4 - 7 + 7 - 3*p**4 + 4*p**4 - 3*p**4 + (-p - 1 + 1)*(3*p - p**3 - 3*p) - 56*p**4 + p**3 + 30*p**4 - 60*p**4.\nAnswer: -107*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/148 and -61\/554520.\nAnswer: 20517240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 7. Let q(d) = -d**3 + d**2 - 2*d + 3. Let b be q(2). Let l = 3 - 2. Calculate the lowest common multiple of l and f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 = w, 4*w + 5*i + 24 = i. Is 38676\/28 - w\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15010 times -0.034?\nAnswer: 510.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-3)\/(sqrt(324) - -4*sqrt(324)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105103536.\nAnswer: 2, 3, 739, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:17 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, 4, 3, -4, -33 in decreasing order.\nAnswer: 20, 4, 3, 1, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.111 rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2945 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32439, -64879, -97319, -129759?\n\"Answer: -32440*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*c*h**3*n - 15*c*h**2*n**2 - 22*c*h**2*n - 84*c*h*n + 2*c*n**2 + 509675*h**3*n**2 + 2 wrt h?\nAnswer: -66*c*n + 3058050*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + t - 11. Let p(l) = 2*l**2 + 10. Let k(z) = 3*i(z) + 2*p(z). What is the remainder when k(-6) is divided by -2 + (-5)\/(-1) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*w - 190*w + 25849347. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4\/7 = -133\/3604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/3 + 17630024*j**3 - 52890068*j**2 + 158670200*j\/3 - 17630022.\nAnswer: -2*(j - 26445033)*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 + 308*m + 14. Let p(u) = 8*u**2 + 462*u + 20. Let v(y) = 10*k(y) - 7*p(y). Let g(s) = -3*s. Determine g(v(q)).\nAnswer: 18*q**2 + 462*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r - 14*r + 7*r**3 + 4*r - r**2 to the form v*r + u + s*r**2 + q*r**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -50 + -64 + 240?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4*z**(-1\/2)*z*z**(-20)*z*z**(-19)\/z assuming z is positive.\nAnswer: z**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 8*n + 2 + 2*n**2 - 2*n**2 + 0*n**2. Let q be m(-4). Is 268\/6*q\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/287 and 11\/7.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15082 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, -5, -3 in decreasing order.\nAnswer: 7\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 15157*s - 682229. Determine h(45).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 650*u - 9745. Let y be k(15). Solve 4*p = -y*g + 2, 2*p = -141*g + 146*g - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312986 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2940 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqlpigqw. Give prob of sequence pg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -51.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 566*t - 178*t + 12381 - 28512 - 19177 for t.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**6\/40 + 3*d**5\/20 - d**4\/4 - 2*d**2 + 8*d. Let a(m) be the first derivative of z(m). Factor a(b).\nAnswer: -3*b*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/6, -4, -2\/15, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*w - 31 + 16, 0 = -3*x + w - 5. Solve 3*m - 8 = -2*k - 4, x = -m - 2*k + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 79. Solve -r + i = 4, r + 12 = 3*r + b*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(80) + -2 - ((sqrt(320) - (-1 + sqrt(320))) + 0)**2.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1, -1, 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -4. Let r = n - -2.3. Let j be (-16)\/(-15) + (-4)\/10. Put j, r, 3 in increasing order.\nAnswer: r, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - h**2 + 5 + (-3*h - 3*h + 7*h)*(5*h - 5*h + 6*h) to the form t*h**2 + z*h + f and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21193361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmco when four letters picked without replacement from {o: 3, m: 4, c: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -29. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31299\/4 + -8732239\/1116. Find the common denominator of 35\/2 and k.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 3:22 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -436 divided by 32865?\nAnswer: -436\/32865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/6 + 21343*b**2\/6 + 42680*b\/3 + 14226.\nAnswer: (b + 2)**2*(b + 21339)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -370071 and 0.4.\nAnswer: -148028.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 + 0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1824 by 8.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-216)*8*12. Solve -b - 3*z + t = 0, -5*b - z = -0*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 + 7*z - 7. Let y = 31 - 26. Let g be v(y). Find a such that 0*a**g - 2\/7 + 4\/7*a**2 + 0*a - 2\/7*a**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-35)\/50*1\/(-2) and 2\/(-288)*126\/24?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 180 = -3*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 - 87. Let u be (-4)\/25*(-25)\/(-130). Is u < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 - 13 = 0. Let t = 11 + -6. Put t, c, 2 in decreasing order.\nAnswer: t, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/2)*m)**(-14))**(-37) assuming m is positive.\nAnswer: m**777","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10. Suppose -h*n + 124 = -257. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93637077*a**5 - 67065456*a?\nAnswer: 1872741540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27214208 - 2?\nAnswer: 27214206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 139*a**3 - 2*a + a + 133*a**3 to o*a**3 + m*a**2 + t + c*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -593009, -2370036, -5331739, -9478112, -14809149, -21324844, -29025191, -37910184?\nAnswer: -47979817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37810845 = 5*v - 5*j, 2*v - 4*j - 1332905 - 13791423 = 0. Let y = v + -13562174. What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1\/b)**(-17)\/(((b\/b**1)\/b)\/(b\/b**(2\/15))) assuming b is positive.\nAnswer: b**(-227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjiiixp. Give prob of sequence xbii.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8261 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 4\/4)*(-72 + 17). Let t be k\/(-275) + 58496\/10. Round t to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/8 - -39\/40. Let h = -0.01 - -0.41. Let u = -15 - -12. Which is the nearest to -1\/5? (a) h (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -849.759 rounded to the nearest integer?\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k**3 + k**2 + 2*k + 5. Is z(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 884 + 83. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 26 - 114 = 8*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6885 and 1989?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.3 (c) 9.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - 2014*w**3 - 44 + 151.\nAnswer: -2014*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1030*f**2 + 87547*f + 343. Calculate k(85).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19230952 is divided by 505.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 11.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwysyxcf. Give prob of sequence xwys.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 9. Let f(n) = n**2 - 3*n - 7. List the prime factors of f(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i - 4*i)*(8 + 7 - 1)*((-4 - 2*i + 4)*(3*i - i + 0*i) + (-1 - 2 + 1)*(4*i - i - 2*i)*(4*i + 0*i - 2*i)).\nAnswer: 784*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + (2*sqrt(396))**2 + 0.\nAnswer: 6*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1267 + -1258. Solve 8 = -q*b - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknnknxkvxbkbknkkxk. Give prob of picking 1 b, 1 x, and 1 k.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.51 - -2.41. Let p = 86.2 + -85.5. Let g = s - p. What is g rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1\/17 (c) -2 (d) -0.17 (e) 0 (f) -2\/431 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 4\/9, -1, -0.1 in decreasing order.\nAnswer: 4\/9, 0.08, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 372294.6 rounded to the nearest one thousand?\nAnswer: 372000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Suppose -46 = 5*n - 71. Suppose -g = -s - c, n*c + 8 = -4*s + 19. Solve s = -u - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8869114 is divided by 2661.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a - 18. Let y be t(0). Is ((-6738)\/8)\/(y\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687.2303l to millilitres.\nAnswer: 687230.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 17500 = 3*p. Suppose -4*u = u + p. What is u rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let y be ((1 + f)\/(-2))\/2. Solve y = m - 3*l - 7, 5*m = 3*m + l + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4945 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 (base 5) in base 4?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-39))**11*(a*a**39*a)\/(a**(-18)\/a*a))**(3\/19) assuming a is positive.\nAnswer: a**(-1110\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**3\/6 - 3*f**2\/2 - f - 1. Let p(d) be the first derivative of g(d). List the prime factors of p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-91)\/36 - (3 + (-13)\/4) and 5\/7*14\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50517.74ng to kilograms.\nAnswer: 0.00000005051774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 257*b - 83582. Calculate z(324).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(30\/18 + 96\/(-72)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 169 + 492 - 160 - 163.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 14. Let v(a) = -a**2 - 19*a - 24. Let j be v(-17). Let z = 4 - j. Let l be x(z). Solve -2*o + l = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14915 and 1727?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*m = -708, -l + 5*l + 3*m = -1381. Let y = -193 - l. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + 0\/(-4). Let y = -0.13 + 5.13. Let x = y - 5.4. Which is the closest to 1\/6? (a) q (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.0348 and 13401.\nAnswer: 13867.3548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*a = 290, -3*s = -5*a - 232 + 21. Let o = -66 + s. Let n be (27\/(-12)*-2 + -4)*o. Solve 0 = n*x + 2*m - 10, 5*x + 3*m - 17 + 0 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2171132.\nAnswer: 2, 542783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + 351e1?\nAnswer: 35210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 494?\nAnswer: -4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/7 (b) 14 (c) -1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 + 28083*p**2 - 168606*p = 0 for p.\nAnswer: -9367, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 2*r**2 - 13*r - 18. Let u be y(-4). Suppose -u*b = -4*b + 1258. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/((-6)\/420*5)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58 - 55*f + 10 + 5*f**3 + 18 - 20*f**2.\nAnswer: 5*(f - 6)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18 and -28662.07?\nAnswer: 28680.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 935 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10))\/((-46)\/((-12696)\/2277)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**0\/k))**(-10)*(k**(-2\/7))**(1\/3) assuming k is positive.\nAnswer: k**(-422\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17606, 36303, 56106, 77015, 99030, 122151?\n\"Answer: 553*t**2 + 17038*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + (13 - -2) + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.141309 rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 2)\/(3 + 15\/(-6)). Let r = -178\/15 - q. What is the closest to r in -4, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 9*m - 9. Let b be r(10). Calculate the highest common factor of 10 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10422 and 188001?\nAnswer: 72568386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 138\/42 - (-4)\/(-14). Suppose c*w + 247 = 262. Suppose -3*b + 4*g + 5 = -6*b, -45 = -4*b + w*g. Solve -5*r = -b - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-216)\/(-126)))\/(3\/(-9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 + p**5\/15 - 5*p**4\/24 + 3*p**2. Let n be j(-5). Is 0 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:10 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2. Let d(t) = -3*t + 13*t - 2*t. Determine d(z(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2397638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:32 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216\/13 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/29))**(-9\/4)\/(b\/b**(1\/32))**(-8) assuming b is positive.\nAnswer: b**(845\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 964 and 4097.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21276 - -21295. Is v > 371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - ((26 - 5) + -6 + -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3 - 5. Suppose -4*b + 2*g = -14, 2*g = -3*b + u + 12. Solve b*f = h + 15, 10 = 5*f + 3*h - 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -653 + 653. Solve -x - 3*p + 12 = a, 0 = -5*x - 6*p + 11*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 354.\nAnswer: 2, 5, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -26 (b) 2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 2, a: 1, b: 7}. Give prob of picking 1 t, 2 d, and 1 b.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7169 is divided by 2359.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -92*p**2. Let k(z) = 2234*z**2. Give k(x(v)).\nAnswer: 18908576*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/12)*y**(-14\/9))\/(y**(-29)*y**(2\/11)) assuming y is positive.\nAnswer: y**(10763\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 155 - 54881?\nAnswer: -5472a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 + 118.8. Let c = 9 - s. Suppose -3*j + 5 + 3 = -4*p, 3*j = p + 11. What is the third smallest value in c, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -11100122021?\nAnswer: 11100122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 - 2*m**2 + m**2)*(-3 + 2 + 2) - 2*m - m**2 + 2*m - 16*m**2 + 4*m**2 - 99*m**2 to the form i + h*m + p*m**2 and give p.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**0*q)**43\/(((q*q\/q**(4\/3))\/q*q)\/((q**4*q)\/q)) assuming q is positive.\nAnswer: q**(397\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25090 * -0.4\nAnswer: -10036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -21*q - 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*m - 0. Is m less than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 5*l**2 + 3*l - 3. Let f be s(4). Let o = -3 - -4. Let z = 2192 - 2192. Which is the closest to z? (a) f (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11 - 7 + h**2 + 10*h - 2*h - 11. Suppose j + 3*s = 5, -3*j + 2*s + 3 = 43. Calculate the remainder when 25 is divided by u(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 21. Let r(d) = -72*d**2 - 8. Let f(a) = -133*a**2 - 14. Let p(w) = 16*f(w) - 28*r(w). Calculate p(l(c)).\nAnswer: -112*c**2 + 4704*c - 49392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*((sqrt(2048) - -2*sqrt(2048))\/(sqrt(576)*-2) + 2))**2.\nAnswer: -280*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3031, -3, 11190.\nAnswer: -3, 3031, 11190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 12*m + 23. Give v(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 574942441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from yqoqeeoeqqeqq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*b + 23, 5*m - 2 = -b - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 1)*2 + sqrt(1088) + 3*sqrt(1088)*-2)**2.\nAnswer: -96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10551?\nAnswer: 3, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 220*d**2 + d + 4. Let t be ((-18)\/(-9))\/8 - (-9)\/(-4). Is m(t) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -2\/5, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 13 + 23. Suppose -2*h + h = -3. Solve k*o + 5 = h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254026, -253852, -253678, -253504?\nAnswer: -253330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 186 + 5 + -5 + -5. Let g be 6\/(-10) - 1746\/15. Let j = a + g. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1950, 7713, 17310, 30735, 47982, 69045, 93918?\nAnswer: 122595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 9*c + 13*c)*(-6 - 3 + 0) + (2 - 2 - 6)*(0*c + c - 3*c).\nAnswer: -213*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 19*c + 18. Let p be t(-20). Let s be 24*(10\/8 + p). Put -4, s, 4, 1 in descending order.\nAnswer: 4, 1, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3, 0 = -0*w + 2*w + 4*b - 28. Suppose 0 = t + h - 14, 0 = -5*t + h + 4*h + w. Factor 8*q + 5*q**3 - 3*q**3 - q**2 + t*q**2.\nAnswer: 2*q*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -857311\/3?\nAnswer: -857311\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260496 and 5112?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 151*b - 698 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.38 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/15 - 128*b - 30720 = 0.\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14693 + -65750168?\nAnswer: -65764861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235 + 249. Let r(v) = 2*v**3 + v - 2. Calculate the least common multiple of h and r(2).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/27))\/q)**38 assuming q is positive.\nAnswer: q**(76\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(24)\/sqrt(3))*-5)\/(sqrt(12)*2 + sqrt(12)*-1).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3275562 (base 10) in base 14?\nAnswer: 613a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 1. Let t(l) = l + 160. Let d(i) = t(i) + y(i). What is the units digit of d(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 13738197.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = a - 4*a + 4*v, 3*a - 45 = 3*v. Let t = -12 + a. Suppose -t*b = -i - 13, 0 = -b + 4*i + 21 + 3. Solve 2*k - k = -4*w - 4, -5*k = 4*w + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 5*i + 405 = 0. Let x = i - 48. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*v, 5*t - v + 6 = -8. Let a = -8 - t. Let c(w) = -3*w - 5. Let l be c(a). Solve k + 4*k = l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5\/(q\/(q**(-3)\/q)))\/(q**(1\/2))**19)\/(((q*q**(-2))\/(q*q**(2\/9)))\/(q**(-1\/4))**(-2\/49)) assuming q is positive.\nAnswer: q**(-3205\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(360) + (sqrt(360) - -3*sqrt(360)*1) + sqrt(360)))\/((sqrt(200) + sqrt(200) + sqrt(200)*-1)*3*6).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhmd when four letters picked without replacement from ddngmgmnmmmhdhhlnnm?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(475) + -1 + 0 - (sqrt(475) + -4 + -1 + sqrt(475) + sqrt(475)))**2.\nAnswer: -5748 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 * 17.\nAnswer: -0.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-74)\/(-10) - (-24)\/(-60). Suppose 5*y = 5*o - 60, 5 = 3*o + 2*y - 11. Is p != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3107, -6367, -9625, -12881, -16135, -19387, -22637?\n\"Answer: v**2 - 3263*v + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38204977 to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.077 and -6.\nAnswer: -6.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v**3 - 48*v**3 - 7 + 0 + 6 + 4 in the form f + m*v**2 + r*v + u*v**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -5542354 in decreasing order.\nAnswer: -3, -8, -5542354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23*i**2 + 5*i. Let w(n) = 448*n**2 - 98*n. Let h(y) = 98*g(y) + 5*w(y). Let k(t) = 2*t. Calculate h(k(d)).\nAnswer: -56*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -19936535 and 3.\nAnswer: -19936532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-12 + (-175)\/(-14)) - (-252)\/(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*f + 227*f + 237*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169432005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**2 - 133*k - 514. Determine w(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (13 - (59 - 27))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:51 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 1 c when three letters picked without replacement from czzt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12\/5)\/((m\/(m*m*m**6\/m))\/m*m)*(m\/(m*m\/m**(2\/17)))\/m*m**(-7))**(-1\/70) assuming m is positive.\nAnswer: m**(449\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(-3) + -3)*-3. Suppose 2*k + s*k = 0. Suppose 0 = t - 2*i - 9, -5*t + k - 3 = 2*i. Which is bigger: 1\/6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfm when three letters picked without replacement from {m: 12, f: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2064592 + 538860 = -148*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 4. Let h be z(-4). Suppose 3 + h = 5*u. Factor -13*l**3 + 7*l**4 - 3*l**2 - l**2 + l**u.\nAnswer: l**2*(l - 2)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 401, 652, 951, 1310, 1741, 2256, 2867?\nAnswer: 3586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96920.74 millilitres in litres?\nAnswer: 96.92074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 8. Let r be k(-4). Let c be (-20)\/6*4\/(-20). Let f be (1 + (-5)\/6)\/((-6)\/(-36)). 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: What is 18 + (-45 - (-61 + 88))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -2)\/(11\/22). List the prime factors of (-3610)\/z + -7 + 66\/9.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q - 3. Let b be p(12). Let r = b + -36. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 657868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -758 and 13.3.\nAnswer: -744.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*-1*432\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -51 + 67. What is the nearest to 2 in o, 2, -4, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-75 + 33) - (1 + 1 + (84 - -4))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 0.12, 212, -1.5, 7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1218395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -11384*b - 87. Calculate z(0).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2785.602 months in years?\nAnswer: 232.1335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -8, 16, 74, 178, 340?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.005*2033.\nAnswer: 10.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 0 + (985 - 991) + 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-166)\/2656 + (-7752051)\/(-48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 8. Let z = -0.6 - x. Which is the biggest value? (a) -0.2 (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 23 = 2*i, -3*i + 3 = 493*j - 496*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -753 and 5.\nAnswer: -3765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a - 0*a - 3*s, -2 = -2*s. Let z = -114 - -117. Solve m - z*g + 4 = a, 2*m - 6*m = g + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(2\/(-6)). Let p(w) = w**2 - 2*w - 5. Let n = -64 + 59. Let t(u) = 2*u**2 - 2*u - 4. Let y(m) = n*p(m) + 6*t(m). Determine y(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0202 - 0.0762. Suppose 5*q + 25 = 0, 4*y - 1 = -4*q - 29. Which is greater: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1741*r - 3903. What are the prime factors of l(6)?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t*x + 75*t + 466*x wrt t.\nAnswer: -x + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in 3, -68, -0.4, -0.3?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1656139 + 578*a**3 - 1656139.\nAnswer: 578*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8688 (base 14) to base 15\nAnswer: 6d4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/2, 1.1, 4, 0 in increasing order.\nAnswer: -3, 0, 1.1, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 minutes before 10:45 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20947826*f*y + 13359028*y wrt f?\nAnswer: 20947826*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*z - 3*c**2*z + 764*c*z + c + 51185*z with respect to c.\nAnswer: 6*c**2*z - 6*c*z + 764*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-2 + -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + 46d1?\nAnswer: 46b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20684, -20678, -20672, -20666?\n\"Answer: 6*v - 20690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 3*q. Let m(r) = r**2 + r. Let v(a) = 3*a**2 - 4*a. Let t(h) = m(h) - v(h). Let y(u) = -5*s(u) + 3*t(u). Solve y(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14405 (base 6) in base 3?\nAnswer: 10011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*j + 271*j**3 + 33*j - 316*j**3 + 1249*j**2 - 128*j**3 wrt j.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 40*h - 8038. Let n(j) = 3*j**2 - 14*j. Calculate v(n(d)).\nAnswer: 120*d**2 - 560*d - 8038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -12*i - 172. Solve -i*k + 21 = 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2552*m + 1283*m + 1277*m - 136)*(0 + 1 + 2)*(m - m + m).\nAnswer: 24*m**2 - 408*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 2*m. Determine l(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**3 - 4*z**3 + 2*z**3)*(-98 - 7*z + 98) to the form y*z**3 + h*z + f*z**4 + l + t*z**2 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -12 - 4. Let z = k + 22. Suppose 6 = 2*g - 2*a, -4*g + a + z - 3 = 0. Solve g*x + 14 + 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, h: 3, o: 5, v: 2}. Give prob of sequence vohq.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*i**3*s**2 - 15*b**3*i**2*s + 4*b**3*i*s - 8*b**2*i**2*s - b*i**3 - 111282*i**3*s**2 wrt s?\nAnswer: -2*b**3*i**3 - 222564*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 26. Let g(f) = -99*f**2 - 364. Let h(m) = -g(m) + 14*l(m). Suppose 0 = 10*r - 6*r - 16. Let s(z) = 3*z + 0*z - r*z. Determine h(s(x)).\nAnswer: 113*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28064 - 28072.9. What is the nearest to d in 0.15, -2\/9, 2\/11, 3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -61*w - 9. Let r(m) = m**3 - 3*m**2 - 43*m - 35. What is the remainder when k(-3) is divided by r(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119027*c**5 + 66627*c?\nAnswer: -2380540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1931383*z**6 + 30243*z**2 - 3*z wrt z.\nAnswer: 231765960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -49*o**4 + 896*o**3\/3 - 232*o**2 + 64*o + 2. Solve n(t) = 0.\nAnswer: 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/3 - 3*c**2 + 2*c + 6. Let m(f) be the first derivative of k(f). Differentiate m(y) with respect to y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11) - 216\/(-22). Find r such that -10 - 112*r + 28*r**3 - 12*r**4 + w + 40*r**2 + 32 = 0.\nAnswer: -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101\/3 - 34. Suppose 0 = -0*p - p. What is the nearest to -0.3 in p, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than -441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -1.3. Let w = t - -0.86. Let r = 0.16 - w. Which is the closest to r? (a) -0.1 (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ees when three letters picked without replacement from ssseess.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:18 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + 124. What is the highest common divisor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16 + 2*s**2 + 17 + s**3 - 31. Calculate r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138624 or 138623?\nAnswer: 138623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1331 or -8?\nAnswer: -1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than -40659\/2140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1377*s + 375*s - 2662*s - 109*s + 158*s)*(-3*s**3 + 4*s**3 + s**3) to g*s**4 + d*s**2 + a*s + b + p*s**3 and give g.\nAnswer: -7230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431529189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 4:53 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868 - 3652 = 163*c + 289*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010332 to 4 decimal places.\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 11) to base 7\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 + -43. Suppose 51*n - 55*n - x = 0. Let d(k) = k**3 - 8*k**2 + 7*k - 5. Let m be d(7). Put m, 2, n, 0 in ascending order.\nAnswer: n, m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -22. Suppose -3*k = -r + 11, q = 2*r - 3*r + k + 7. Suppose -72 = -o - r*o. What is the least common multiple of 6 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 323, 5, -109, -13 in descending order.\nAnswer: 323, 5, -13, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + c**2 + c + 4. Let t(u) = u**3 + 6*u**2 - 9*u - 9. Let y be t(-7). Suppose 0 = -y*m + 15 - 5. What is the remainder when f(0) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + -11 + 48 - (-12 - (-5 - -8)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -114?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 193.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14433411 (base 5) to base 13.\nAnswer: -55a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.84 + 0.16. Let z = 19 + -14. Which is the closest to 0? (a) 4 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6545, -6973, -7399, -7823, -8245, -8665, -9083?\n\"Answer: i**2 - 431*i - 6115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 12. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77329909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7315.45t to grams.\nAnswer: 7315450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(17) - (sqrt(833)*2 - sqrt(833)))**2.\nAnswer: 60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**4 - 7*b**4 + 2*b**3 - 5*b**3 + 29*b**4 - 2*b to the form u + c*b**4 + y*b + m*b**3 + o*b**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 35*d - 1024. Calculate q(-19).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1130\/1167861 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 0.3 (c) 0.94 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3017 is divided by 980?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 51055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3))**32\/((f**(-2)*f*f)\/f**14) assuming f is positive.\nAnswer: f**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d + 2*d - 2*d**2)*(-4*d**2 + 0*d**2 + 6*d**2) - 2*d**4 + 4*d - 4*d)*(-2005*d + 158*d + 8294*d + 3357*d + 13393*d).\nAnswer: -139182*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 31. Suppose 3*r = 5*f - 16, 0*r - 4*r = f - 17. List the prime factors of c(f).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2.2. Let p be (-1)\/2*-43 - 1\/(-2). Let d be (1\/p)\/(17\/68). What is the nearest to -1 in 1, o, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 117\/(-27))*(-54)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 27*q + 200 = -27*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755.339l to millilitres.\nAnswer: 755339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(-3)\/q)\/q))**(-8))**(-8\/9)*((q*q**(3\/8)*q)**22)**(-8\/5) assuming q is positive.\nAnswer: q**(-614\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 9. Let f be b(12). Let l(x) = x - 11. Let j be l(f). Solve 3*y = 4*y - 5*d + 23, 0 = j*y - 5*d + 32 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i\/(i**(-4)\/i*i))**39)**(-7\/3))**(5\/4) assuming i is positive.\nAnswer: i**(-3185\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 83.52177ns?\nAnswer: 0.00008352177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000026173 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 259 + -256. Let i(p) = -7*p + 6. Let q(l) = 12*l - 12. Let r(a) = f*q(a) + 5*i(a). Calculate r(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 16*q + 2. Let w(z) = 7*z**2 - 16*z + 1. Let f(c) = 6*s(c) - 5*w(c). Let t be f(17). Calculate the highest common divisor of 36 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3 - 9382152*r**2 - 112585392*r - 337755744 = 0 for r.\nAnswer: -2345526, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6978\/(-2070) - (-33 + 9617\/295)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Let f be (5 + -7)\/(m*1). Suppose 11 = 4*u - f. Calculate the greatest common divisor of u and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125463.914 - -125590. Let t = 0.086 - k. Let i = -126.063 - t. What is i rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - -2. Let g be 6 - (63\/10 + 5\/(-10)). Which is the nearest to g? (a) 4 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142456 or 142477?\nAnswer: 142456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 172\/3. Let u be ((-164)\/408)\/(30\/(-12)). Let m = u - -2\/51. Sort m, v, -0.5 in descending order.\nAnswer: m, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 121*y = -61*y + 384 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, -1, -4, 13.\nAnswer: -4, -3, -1, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516429 is divided by 388.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 = 88. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -5*k, 0 = -4*k - 4*g - 2 - 6. Let s(t) = -98*t + 13. Let l(o) = -35*o + 5. Let b(f) = 8*l(f) - 3*s(f). What is b(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-47)\/(1269\/72))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 2*q**2 + q - 3. Suppose -3*a + 15 = 2*a. Is f(a) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 3*g**2 - 18*g - 52. Let a be s(-4). Suppose f + v - 6 = 1, 2*f - 32 = a*v. Calculate the lowest common multiple of f and 488.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert da6 (base 16) to base 12.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76938212?\nAnswer: 2, 13, 1479581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 635721, -1.6 in ascending order.\nAnswer: -5, -1.6, 635721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32540 divided by -5.\nAnswer: -6508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27123, 108548, 244261, 434262, 678551?\n\"Answer: 27144*s**2 - 7*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 + 4363705?\nAnswer: 4363699.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-52)\/(-44) - 1*(-4)\/(-22)). Which is smaller: -98\/69 or r?\nAnswer: -98\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 0.06 (c) -3.835592\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35430389*i**4 + i**2 - 137*i + 17343 wrt i?\nAnswer: -850329336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2397693 or -2397697?\nAnswer: -2397697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, 5, -1\/7 in increasing order.\nAnswer: -1\/7, 2\/31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1174.553512 - -13564.\nAnswer: 12389.446488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1015 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5176 - -207051\/40. Calculate the common denominator of (-60532)\/2960 + (-1)\/(-5) and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-63) - 134\/134.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w*y**2 - 44228583*w*y + 594642126*y**2 with respect to w.\nAnswer: -y**2 - 44228583*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + i - 12, -b + 8 = -i + 4*i. Suppose 0 = 5*a + 5*c - 152 + 47, 0 = -2*a + 2*c + 66. Put 4, b, a in decreasing order.\nAnswer: a, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/5 + 6*b**4\/5 - 4*b**3\/5 - 4*b**2\/5 + 6*b\/5 - 2\/5 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/(844\/1266)*4\/15.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 638 (c) -978\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*b - 3*g - 16, 5*g = 3*b + 35. Let y be 7 - b*6\/(-12). Solve -4*o - 2 = y*j, 5*j - 34 = 4*o - o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -53*k + 5. Let q(i) = 264*i - 24. Let t(h) = 5*q(h) + 24*s(h). Let f(l) = -3*l + 6. Let p(o) = -38*o + 72. Let b(x) = -12*f(x) + p(x). Give t(b(u)).\nAnswer: -96*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403637 (base 8) to base 9.\nAnswer: 222423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t**(-1\/2))\/(t*t*t**(-1)*t)**(2\/91) assuming t is positive.\nAnswer: t**(-827\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 6*f**2 - 9*f + 11*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 11. Let u = 1 + s. What is the second biggest value in 0.1, u, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 422395.\nAnswer: -84479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.6 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 + 157. Suppose -651 = -0*h + b*h. Sort h, 0, 15 in decreasing order.\nAnswer: 15, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11465 + 514.78535. Let w = -515 + h. Which is smaller: -122\/3 or w?\nAnswer: -122\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*x**2 - 6727*d*x + 1504*d + x**3 - 16*x**2 - 16019 wrt x?\nAnswer: 2*d*x - 6727*d + 3*x**2 - 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4 + (-174)\/120\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 14876*q + 7949*q - 3493*q + 9. Let y(f) = 9666*f + 5. Let s(m) = -6*h(m) + 10*y(m). Let c be s(3). What is c rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*j + 2. Let z = j + -5. Let o = 3 - 5. Is z not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 3*c + 12. Let a be i(-6). Let s(j) = -2*j**2 + 58*j + 62. Let d be s(a). Solve -12 = -4*f - 0*f - 2*o, -2 = d*f - 3*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaat when four letters picked without replacement from dtdatddtadaadd.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 2\/55, 4\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/165 and -95\/1631602.\nAnswer: 269214330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 19*m - 16. Let j be d(-15). Suppose y = -3*a - a + 60, 2*a - 20 = 2*y. Let v = j - a. What is the lowest common multiple of v and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*g + 5*h, 2*g + 2*h + 2 = -0*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 13 = k, -6*k + 2*k - m = -18. Solve -3*a - 4*v + 11 = 0, 14 = k*a - 4*v - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(3\/7)*m)\/m))\/m**(-3\/13))\/((m**(-4\/3)\/m)\/m**(-7\/6)) assuming m is positive.\nAnswer: m**(1075\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2146? (a) 2 (b) -0.2 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3)*(43*q**4 + 1443*q - 382*q**3 - 3031*q + 1586*q) to j*q**2 + n*q**4 + c + b*q + k*q**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1366, 1363, 1356, 1345, 1330?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000313802 rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1355.51 + 1361. Let k = -4.7 + c. Round k to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, l: 2, g: 6}. What is prob of picking 1 l and 1 g?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 - 395*w**2 + 1640*w - 1660 = 0.\nAnswer: -83, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Let l(o) be the first derivative of -2 + 0*o**3 - 1\/2*o**2 + 1\/12*o**s - 2\/3*o. Factor l(h).\nAnswer: (h - 2)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-8)\/(16\/14). Solve -4*q - 4*a = -4, t*q - a - 15 = -0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjuuujujuuuwjoou. Give prob of picking 2 u and 2 o.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in 2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 1\/6 (b) 0.3 (c) 1\/8 (d) 21 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 632 + -634. What is the fourth biggest value in d, -18\/7, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*21\/(-18)*(-6)\/(-42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/22 and 47\/3837.\nAnswer: 84414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 24*p - 3\/20*p**5 + 5\/3*p**4 + 0*p**2 - 1\/5*p**6 + 1 - 1\/3*p**3. What is the third derivative of v(f) wrt f?\nAnswer: -144*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/(40\/112).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*w - 13192 - 6958 = 0 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 6. Let x be d(-5). Let j(k) = -37*k**2 + 2*k - 1. Let t be j(x). Let r = t + 63. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d**(2\/9))**21 assuming d is positive.\nAnswer: d**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 810142 divided by 6?\nAnswer: 405071\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1426.754 and -2.\nAnswer: -1428.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 + p**3\/6 + 9*p**2. Let z(r) = 8*r**2 + 3*r + 6. Let a(c) = 4*i(c) - z(c). Give a(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 17. Put -4, h, 1, -3 in ascending order.\nAnswer: -4, -3, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -29 (c) -1\/7 (d) 74 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616 divided by -4?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*g**3*j - 44*g**3 - 3*g**2*j - 2*g**2 - 2506*g - 17420*j wrt j?\nAnswer: -11*g**3 - 3*g**2 - 17420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7 - 0) + 5 + -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 6*m**2 + m**2)*(-6*m + 27*m - 4*m - 45 - 11*m).\nAnswer: 12*m**3 - 90*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 16*j - 300. Calculate c(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:29 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658813 is divided by 13445?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3366154, 6732310, 10098466, 13464622, 16830778, 20196934?\n\"Answer: 3366156*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 8*b - 11. Let l be w(-6). Let o(s) = -s - s**3 + 2*s**2 - s + 4 - 3. Give o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, r: 1, v: 1, y: 1, u: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r - y - 2, -5 = r + 4*y. Let f(h) = -464*h**3 - 5*h**2 - 4*h - 1. What is the tens digit of f(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -1952 - 181. Suppose -242 = f - a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1402 by 9426.\nAnswer: 701\/4713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 526 = o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*a*g*m**3 - 1632*a*g*m**2 - 4*a*g*m - 2*a*m**3 + 2*a*m**2 - 318*g*m**3 - 3*g*m**2 + g*m - m**3 + 18*m wrt m.\nAnswer: -270*a*g - 12*a - 1908*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i - 807 = 4*l, 4*l = -3*i + 497. Is i\/(-1*(-1)\/23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Suppose -10 + t = g. Let v(h) = -4*h - 4. List the prime factors of v(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Is 0 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 - 1371*y + 6916. What is s(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/((-6)\/(-156)). Solve 0*d**2 + d**5 + 12*d**3 - c*d**3 + 0*d**2 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24485484691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 b when four letters picked without replacement from ohohhhhobhhbob.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2013225 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 17*k**2 - 44*k - 23. What is p(7)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(325) - (1 + sqrt(325) + -4)) + sqrt(325) - -3*sqrt(325)*-1)*-3*2)*-1.\nAnswer: -60*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 3 - 11. Solve 0*u = z*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = z + 20*v - 154, -2*z = -v - 264. List the prime factors of z.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18310 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1714, -2979, 4.\nAnswer: -2979, -1714, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 552, 0.5, -4, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 87483, 175118, 262903, 350838?\n\"Answer: 75*o**2 + 87410*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 23*o - 2*s + 14, o = 4*s - 28. Solve o = -62*x + 48*x - 56 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r - 47. Let b be m(6). Calculate the greatest common divisor of b and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 7*j**2 - 2*j - 13. What are the prime factors of i(-9)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123807 at most as big as 123807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -20. Suppose -4 + 16 = 4*y. What is the remainder when p is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 12*t - 26 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1496648, 2993531, 4490648, 5987999, 7485584, 8983403, 10481456?\n\"Answer: 117*i**2 + 1496532*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 - (-16 + 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f + 64 = 0. Let g = -22 - -54. What is the highest common factor of f and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 182. Let o be l(8). Suppose -10*u = -60*u + o. Solve -4*h + 6 = -2*y, 6*y - y - 13 = u*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/21*((-8)\/20 + 1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*(6\/42)\/(1\/36). Suppose i = -5*i + u. Suppose k - i = -3*n + 2, 6 = 3*n. Solve 3*q - 2*q - 1 = -2*c, k*q - 3*c = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29945)\/1325 - (-19 + -3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 1)*(u - 3*u + 5*u) - u + 3*u + 0*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.3278 - 422.6922. Let p = 424.02008 + w. Let k = -4 - p. What is k rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007672 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 260043.347.\nAnswer: -780130.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 11) in base 6?\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100207543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 873*h*i + 11*i + 43 wrt h.\nAnswer: 873*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7 + m + 3 + 12*m. Suppose -k + 3 = -0*k. What is the remainder when x(k) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455024436 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-500)\/(-975) + (-4)\/6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 x, and 1 d when four letters picked without replacement from {d: 2, r: 1, x: 2, c: 2, l: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*a + 18*a**2 + 94*a - 47*a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108 - (24 - 107)) + 2 + -15 + 2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.3 minus 160.0217?\nAnswer: -172.3217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 3, s: 9, j: 1, g: 2}. What is prob of picking 1 h and 3 f?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 11) to base 14.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -24. Let d = 283.5506 - 271.55. Let q = d + b. Round q to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuunnrruunmuuunuunr. Give prob of picking 1 n and 1 m.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 150. Suppose 4*c + 4*c - 16 = 0. Suppose -82 = -c*o + j. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in 1\/5, 51, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q + 20*q = -3360. Let k = 0 + q. What is the greatest common factor of 112 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*a - 41661, i - 3*a - 8127 = 5765. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/5)\/(-6))\/(113\/226)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -3*c**2\/2 - 3. Let k(s) be the first derivative of 3*s**2\/2 + 4. Calculate k(g(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*d - 20 = 0, -3*d + 17 = o - 5*d. Let z(n) = -7*n**2 + 9*n + 9. Let y(l) = -3*l**2 + 4*l + 4. Determine o*y(p) - 6*z(p).\nAnswer: 3*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2801.\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 9. Let c = -7 + d. Find the common denominator of (-2)\/((-80)\/274) - c and 109\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 2*m**3 + 5*m**3)*(-m + 3 - 3) - 12*m**4 + 10*m**4 - 759*m**3 - 83*m + 757*m**3.\nAnswer: -4*m**4 - 2*m**3 - 83*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136769446 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.973122 minutes in days?\nAnswer: 0.0277591125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -15*r**2. Let q(t) = 8*t**2. Suppose 0 = 56*v - 60*v + 20. Let i(w) = v*q(w) + 2*y(w). Let d(z) = -12*z. Calculate i(d(o)).\nAnswer: 1440*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1968 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 175957?\nAnswer: 175956.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/8938 + -8929\/26814. Sort -5, 4\/9, j, 0, 22 in decreasing order.\nAnswer: 22, 4\/9, 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -466*s + 470*s - 4*k + 76, -154*k + 2926 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22\/19 + -211\/133. What is the second biggest value in 0, 9, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a + 24. Let i(y) = -2*y + 1. Let u(k) = g(k) - 2*i(k). Let l be 1\/(1 + 3\/(-4)). List the prime factors of u(l).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885347215 a multiple of 3629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 374361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c + 20*c + 5 - 7*c. Let z(w) = -4*w - 11. What is 9*x(i) + 4*z(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(-26\/5))))\/(l**(18\/5)\/l) assuming l is positive.\nAnswer: l**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/6*(-90)\/99\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -93. Suppose 0*q + 2*q = 26. Suppose -3*s = -l - q. Let j(u) = 2*u. Give j(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 - 18 = 0. Find m such that -137*m**5 + 4*m - 5*m**4 - 8*m**3 - 8 + 267*m**5 - 126*m**5 - 3*m**4 + n*m**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4))**(-33)*n*n*n**16*n*n*n*n**14*n assuming n is positive.\nAnswer: n**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/24 and -34\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 1. Let m(o) = -7*o - 2. What is -4*m(b) + 9*x(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 42 (c) -1\/7 (d) 2\/9 (e) 12500 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1469 - -1521. Calculate the highest common factor of b and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -343. Let z be -5 - (q\/(-10))\/4. What is the closest to z in 0.5, -1\/4, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 17*g**2 - 51*g - 327. Give n(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**7\/840 - j**6\/120 - j**5\/60 - j**4\/12 + 5*j**3\/6 + 2*j. Let k(l) be the second derivative of v(l). What is k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8 + -7 + (-885)\/(-50) and 13\/1888.\nAnswer: 9440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v - 2*v)*((-5*v + 2*v + 2*v)*(0 - 5 + 3) - 3*v + 2*v - 3*v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 433 - 433. Solve 2*a - 1 = -5*u, n*u - 11 = -3*u + 4*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/7118296 and -85\/16.\nAnswer: 14236592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**3 + 2*r**3 - r**3)*(5 - 5 + 2*r) - 3 - r**4 + 3 + (-2 - r**3 + 2)*(-r + r + 2*r) as k*r + i + a*r**2 + t*r**4 + p*r**3 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 3*k**2 + 3*k**2)*(0*k**2 + 0*k**2 - k**3) - 4*k**5 - 2*k**5 + 4*k**5 + (-2*k**3 + k**2 - k**2)*(0*k**2 + 2*k**2 - 4*k**2).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 12, 3, 4966 in increasing order.\nAnswer: -0.1, 3, 12, 4966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249 by 9.\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-319 - -433) + (-4 + 10 + -10 + 5 - 13).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*6 - -6. Let v be (3\/2)\/(1\/12). Let t be (v\/21)\/(1\/7). Solve -t = 3*d + a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g - 2*g)*(6 - 3 - 1)*(2 - 13*g - 2 + (2 + 0 - 6)*(-3*g + 2*g + 5*g)).\nAnswer: 58*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/8)\/(3\/12) + -61. Which is greater: -65 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/66 + x**3\/11 + 14*x. Find a, given that h(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(-166 - -7) - 8) + -7 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 5*k**2 - k + 1. Let b be c(5). Suppose -4*u + 0*u - 12 = 0. Suppose 4*t - 4*z = 20, 0 = t + 3*z + 2 + 13. Put t, b, u in decreasing order.\nAnswer: t, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6+10.21793443929\nAnswer: 4.21793443929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*r = -115*r + 338723. Calculate the highest common divisor of 737 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(99)*-1 + 5)**2*-5*-3.\nAnswer: -9300 + 2250*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3 + 13 - 3 + 0 - 2*o - 22. What is m(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166.6 - -166.4341. What is t rounded to 3 decimal places?\nAnswer: -0.166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkzzzefffkkkcnffkfz. Give prob of picking 1 e and 1 f.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.82857575 to two decimal places.\nAnswer: 36.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2852 is divided by 70.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -3659?\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 - 2*i + 116. Let q be y(0). Suppose 0 = 23*h - 19*h - q. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102791067?\nAnswer: 3, 863, 39703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95764709?\nAnswer: 23, 47, 88589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 19) + (882\/(-84))\/((-1)\/(-2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 15. Which is the third biggest value? (a) -0.4 (b) r (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.27 times 0.1?\nAnswer: -1.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.6 - -2.6. Let z = -10 - d. Which is the second smallest value? (a) 0 (b) z (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*b = -2*q - 14, -q + 3*b = -10. Find the common denominator of ((-6)\/25)\/((-12)\/560) and ((-4)\/((-4)\/19))\/q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8*8 - (-76)\/(-114))*(-84)\/10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-40)*2 - (-245)\/(-25)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**5\/60 - f**4\/24 - 3*f**3\/2 - 48*f**2. Calculate the remainder when 228 is divided by n(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w + 0*w**4 - w**3 + 0 + 1\/90*w**6 - 1\/30*w**5 + 0*w**2. Let v(l) be the second derivative of z(l). Solve v(c) = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*m + 22 = -46, -25 = -2*o - 5*m. Let a be (-4)\/o*5\/(-72). Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z + 6*z**2 + 2*z**2 + 22 - 3*z - 6*z**2 + 2*z**3 + 27 to h*z + v + m*z**3 + r*z**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 36. Suppose b = 2*h - h. Suppose -6*j - 5 = -h*j. Solve 3*a = j + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 64900346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdydqtye. What is prob of picking 1 q, 1 d, and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54540335 (base 6) to base 3.\nAnswer: 10001211121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-24)\/u**14)\/((u\/u**(5\/11))\/(u\/((u**(9\/2)*u)\/u*u))) assuming u is positive.\nAnswer: u**(-947\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27 (b) -3 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02796 rounded to 3 decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumttmggt. Give prob of sequence ggt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 165857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*v + 2 = 0, -v = 144 - 143 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 811200 to the nearest 10000.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6040?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*m + 247*m = -60 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116\/2453 - 30\/223. What is the nearest to o in 61, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -76.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4681757 + 3?\nAnswer: -4681754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 20, 28?\n\"Answer: 8*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26179 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-1))\/((-2)\/710). What is the common denominator of -17\/2 and (-8)\/(-20)*v\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 j when four letters picked without replacement from jbjjjjjjjjjjjjbjjj?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 347790129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -469\nAnswer: -3\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5\/1072 (b) 3\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4878 is divided by 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219.598*0.21.\nAnswer: 46.11558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.665345 millilitres to litres.\nAnswer: 0.003665345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 179889345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/16842 and -49\/24.\nAnswer: 67368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5.2, -0.1, 3, 23, -6.9 in decreasing order.\nAnswer: 23, 5, 3, -0.1, -5.2, -6.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:06 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 3, -6, 5, -15 in decreasing order.\nAnswer: 87, 5, 3, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - a = -62, 4*a + 216 = 3*k + 2. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 2659 = -1301. What is the remainder when 262 is divided by (12\/20)\/(8\/v)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.5, 0, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 7) to base 5.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.4351mm in centimeters?\nAnswer: 24.44351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -67a9d7 (base 14) to base 13\nAnswer: -965760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113a1 (base 14) to base 10\nAnswer: -41889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*t = -5*n - 27, -4*n - 8 = 5*t. Let d be 2 - 4\/n*14\/4. Solve d*j + 2 = -18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 1:07 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222451 is divided by 935.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2 + 507608*m + 2538140 = 0. What is m?\nAnswer: -5, 126907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 2654.\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0.5, -5, 29\/12, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 316\/28 + -6 - 6. Suppose 0*j - 2 = 2*j. Let r be (j + 0)\/(-1 - -2). Is l bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1136779, -2273561, -3410343?\nAnswer: -4547125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/11)\/((-8)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 3 + (-104)\/56. Is 0 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 - 485*l - 1065. Let m be q(-119). Solve m*u + 64 - 100 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/35 + (-34)\/10. Which is the closest to -0.1? (a) -0.4 (b) u (c) -0.11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 3:39 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose a*h + 10 = 0, 0*l - 4*h - 95 = -5*l. Calculate the remainder when 58 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 1.7. Let x = -14294 - -14299. Which is the closest to -0.5? (a) 0.4 (b) x (c) 4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 8*w**2 - 14*w - 33. Calculate the least common multiple of i(-9) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*d + 37, 27*q - 2*d = 17 + 74 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 11 = 5*v, 5*r - 29 = 2*v - 5*v. Let y be 3\/((-21)\/2) + 11660\/385. Suppose -r*i + y = i. Solve -2*g - g = 5*j + 7, -4*j - 2*g = i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*d = 151, -3*d = -f + 61 - 18. Solve 3*g - f = -40 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 2, v: 1, y: 3, z: 8, n: 1}. Give prob of sequence kev.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 5*b + 6 = -2*d, 0 = -6*b + 3*d - 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*r + 300 = -137*r. What is the smallest common multiple of 42 and r?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 336901017 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -j + 12. Find k such that -3*k + 9*k**4 + 0*k + 2 - 4*k - 11*k**2 + j*k**3 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*442\nAnswer: -88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 3\/4, -345\/2, 12\/7, -0.5 in increasing order.\nAnswer: -345\/2, -22, -0.5, 3\/4, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**3)\/u)\/(u\/(u**2\/u))*(u\/(u*u\/(u\/u**5)))\/(u*u**4))\/((u\/((u\/u**(-2))\/u))**(-9)*(u\/(u*u**6))\/(u\/(u*u**(4\/3)))) assuming u is positive.\nAnswer: u**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 + -3 - 2) - (-5 - -12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*2*6 + sqrt(110))\/(-1*1*sqrt(10)).\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**3\/3 - v**2 - 4*v - 2. Let b be r(4). Suppose -21 = b*c - 89. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**4 + 5*t**4 - 5*t**4 + 5*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -55 - (1 + 0). Suppose -3*a = a + 152. Let l = a + m. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 27*b**2 + 3*b + 0*b**3 + 0 + 77\/12*b**4. Differentiate c(w) wrt w.\nAnswer: 154*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3349.13 plus 294665867?\nAnswer: 294669216.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 314205 * 0.5.\nAnswer: 157102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + 2 - (8 - 1). Let i(o) = -24*o + 94. Give i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -42.1?\nAnswer: -463.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 10 - (2 - (0 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 - 36*m + 38 = 0 for m.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.3 + -0.3. Let g = 1988 - 1987.9. Is g smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/25760 and 149\/78890.\nAnswer: 1262240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 119 + 83 = 0. Let y = -13777 - -13780. Suppose -y*g + t = -2*g. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9. Differentiate -2*j + v - 6*j + 12*j with respect to j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, x: 2}. What is prob of picking 1 u and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -564 + 644. What is the remainder when 289 is divided by j?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, 1 z, and 1 d when four letters picked without replacement from {d: 5, y: 2, z: 2, i: 3, e: 3}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 39*d - 224. Let t be m(-32). Solve -r + 1 - 4 = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -171, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533*o - 5*o**3 - 27*o + 4*o**3.\nAnswer: -o**3 + 1506*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000 (base 3) to base 4.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -1 + 3)**2 - 6*(4*sqrt(192))**2.\nAnswer: -18236 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107\/6 + 7\/3. Suppose 0 = -0*i + 4*i + 36. What is the common denominator of (6\/64)\/(i\/(-174)) and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38402 and 3089294?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {s: 4, b: 1, q: 3, d: 2, g: 6}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16643220 divided by 1664322?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3825 (b) 9764 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.6956 - -0.4?\nAnswer: -22.2956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-3 - (45 - (5 + 34))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 9*c - 25 = -4*c, 262*w + 6*c = 267*w + 11*c + 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3\/3 + 6*x**2 + 5*x - 1. Let j be q(-11). Is (-308)\/(-10)*(-15)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**6\/6 + 7*p**4\/2 + 2*p**3\/3 - 5*p**2 + 135. Find the third derivative of m(q) wrt q.\nAnswer: 60*q**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -147. Which is the smallest value? (a) 1\/4 (b) v (c) -2\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**2)\/n*n)**33*(n\/(n*(n\/(n\/(n*n**(1\/3))))\/n)*n)**(5\/9) assuming n is positive.\nAnswer: n**(3574\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44803\/15 - -2987. Which is the closest to -2? (a) -8 (b) -5 (c) 0.1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*v\/((v**(-14)\/v)\/v))\/v*v))\/(v\/(v*v**(-2\/27)*v*v)))\/(v**(10\/7)*v**(-3\/26)))**41 assuming v is positive.\nAnswer: v**(-3301607\/4914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/((-3)\/4). Solve -d*w + 2*c + 9 = -w, -2*w = -c - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*l*s + 72*b**2*l + 18*b**2*s - b**2 + b*s + 3258*b - 4589*l*s - 2*l + 7*s - 2 wrt l?\nAnswer: b**2*s + 72*b**2 - 4589*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-108) + -4*(-1206)\/(-38880).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*j - 713*j = 482*j - 247*j + 123888 for j.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y = 13 - 259 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07517 + -4.92483. Sort 0.57, n, 4 in ascending order.\nAnswer: n, 0.57, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**2 + 20*j**2 - 240*j - 41*j**2.\nAnswer: -2*j**2 - 240*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370525, -370518, -370519, -370534, -370569, -370630, -370723?\nAnswer: -370854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 145, 141, 137, 133, 129?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - 162b5?\nAnswer: -162c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 1524?\nAnswer: 24384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let a(d) be the third derivative of 33*d**2 + 0*d**3 + 0 + 0*d + 33\/20*d**5 + 0*d**4. Give a(t(f)).\nAnswer: 396*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -27, 3, 1569, 1 in increasing order.\nAnswer: -27, -9, 1, 3, 1569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a45 (base 14) in base 16?\nAnswer: 7e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4\/(-12)*0 - (-10 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 706313 * 28.7.\nAnswer: 20271183.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*v + 4*n, -v + 4*n - 12 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**5 + 352*o**3 - 8*o**2 + 24 wrt o.\nAnswer: 120*o**2 + 2112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.800365nm to centimeters.\nAnswer: 0.0000008800365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6646, 190, -10570, -25634, -45002, -68674?\n\"Answer: -2152*l**2 + 8798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (15 + (-13 - -7 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 1735*g - 1735*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2406*a**2 - 14438*a - 104. Calculate t(-6).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -711337*d**3 - 441*d**2 - 2*d - 1190.\nAnswer: -4268022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 2:26 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 7:45 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*f + 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 16, 33, 68, 127, 216?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o + 4*o - 21*o + 8*o + 8*o. Let k(i) = 24*i**2 - 4*i - 4. Let l(t) = -24*t**2 + 5*t + 5. Let s(u) = 5*k(u) + 4*l(u). Calculate s(c(y)).\nAnswer: 864*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 491, 483, 475, 467, 459?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 156 + 570 = 133*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109700 is divided by 115.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -1138549554018*r**2 + 431575716*r - 40898 = 0.\nAnswer: 143\/754503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1136 = -417*h + 412*h + c, 3*h = 3*c + 696. Calculate the smallest common multiple of 14 and h.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1331))**2 + 3 - (sqrt(1331) + -2)*-3) + -5.\nAnswer: -11*sqrt(11) + 1327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 593900*p**3 + 30*p**2 + 47971613*p - 2.\nAnswer: 3563400*p + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(66)\/(sqrt(24)\/sqrt(4))*-3)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 986 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2. Suppose 2*k = -4*z - 3*k - 5, 0 = -3*z - 4*k - 5. Let m be (-4)\/(-6)*(-6)\/(-2). Let d(i) = z - 2*i - m - 3. Give d(u(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*r - r. Let z be 6\/(-15) + (-122)\/r. Calculate the greatest common factor of 60 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.98 + -0.08. Let q = -3 + u. Let b(w) = -w**2 - w - 1. Let p be b(-2). What is the third smallest value in 4, p, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*s, -5*m - 23*s + 45 = -24*s. Let k be (-1 - 35)*1\/1. Let g be (8\/k)\/(3\/(-27)). Solve 4*p = g*d + m, 2*p = -5*d - 11 - 14 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1511.9 and 167410.\nAnswer: 168921.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + r. Let v(z) = 9*z - 4*z**3 - 1 - 5*z**2 - 2*z + 0. Suppose -4*a - 3*k - 18 + 8 = 0, 3*k + 3 = 3*a. What is a*v(u) + 5*x(u)?\nAnswer: -u**3 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -78957.681 and -2.4.\nAnswer: -78960.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from lwg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3668 (b) 0.083 (c) -0.1676 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3282876 and 95764.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = f + 2*f + 11, 25 = -5*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 8*i - 5*i. Let y be 32\/48 - i\/6. Solve -2*u - 4 + y = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 118\/(-8) - (-1)\/2. Let y = t + 14. Let l(o) = o**3 + 35*o**2 - 25*o + 396. Let u be l(-36). Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2107 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(245)*-2)\/sqrt(7))\/(5*sqrt(20)) + -2*sqrt(847) + 3 + -4*sqrt(847)*1))**2.\nAnswer: -31776*sqrt(7)\/5 + 12274432\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.071835 * 0.1\nAnswer: -0.0071835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 4:52 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 5*p**3\/6 + 4089*p + 4. Let b(c) be the first derivative of -3*c**3 - 1. Give b(i(w)).\nAnswer: -225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -9, -18, -41, -84?\n\"Answer: -t**3 + 2*t**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 4. Let l = r - 3. Let i = l + 0. What is the biggest value in -1\/7, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.4. Let w = -82 - -86. What is the third biggest value in -3\/8, w, s?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3705 - -4517. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 7 + 20*a - 5 + (18*a - 21 + 7*a - 22*a)*(0 - 3 + 1).\nAnswer: 14*a + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(-24 + 24 + 0*r - 32*r) to the form n + s*r and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) -0.12 (c) -6 (d) -0.7 (e) -0.269 (f) -14\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r + 28. Let m = -2 - r. Solve -2*z - 6 = -m*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -3. Let d(j) = -j**2 + 5*j - 5. Let r be d(5). Sort 5, s, r in decreasing order.\nAnswer: 5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {k: 2, s: 2, c: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052840 divided by -52642?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51957022 by -3996694.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54450 and 734225.\nAnswer: 1599142050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 5*m + 223903, 153*m = -3*b + 148*m + 167931. List the prime factors of b.\nAnswer: 2, 7, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -18. Let m = a + -6. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19737 + -16184. Is m a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175709571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22.7*344\nAnswer: 7808.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 59 + 4)*(-20*q + 3*q - 2*q) + 0*q + 5*q + q as d*q + i and give d.\nAnswer: 1165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 2*c**3\/3 - 3*c**2 - 5*c + 2. Let v be 3360\/315 - (-4)\/3. Is m(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 - 4*z - 6. Give j(5).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**5\/9 - 1882*p**4\/9 + 4918*p**3\/9 - 3412*p**2\/9 - 377*p\/9 + 758\/9 = 0.\nAnswer: -379, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 16) in base 15?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2423 * 276\nAnswer: -668748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9048 = 51*s - 12*s. What is the nearest to 0.1 in -5, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -852*l + 866*l = 37940. List the prime factors of l.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5 = -5*w, 4*w = 4*z - w - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 25. Let x be w(-7). Suppose -x*a = -130 + 2. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649216401?\nAnswer: 3, 107, 2022481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58, -53, -54, -61?\n\"Answer: -3*n**2 + 14*n - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/15)\/(6\/(72\/(-30))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000728862 to 7 decimal places.\nAnswer: 0.0000729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + -6*(-656)\/(-288))*(-6)\/(-4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-8*a**5 - 13*a**5 + 7*a**5) + (-182*a - a**3 + 2574 - 2574)*(-3*a + 3*a + 2*a)*(-a - 1 + 1).\nAnswer: -26*a**5 + 364*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1875 - 1871. Suppose 7 = w + 1. Sort k, -5, w.\nAnswer: -5, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*l, 3*b = -b + 4*l - 12. Suppose 2 = 2*r - 2*q, 6*r = b*r + q - 8. What are the prime factors of ((-8)\/(2 + r))\/((-10)\/(-35))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Let x(b) = -10*b**2 - 11*b**2 - 6*b**2 + 12*b**2. Determine x(f(y)).\nAnswer: -60*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1776, -1786, -1796, -1806, -1816, -1826?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-4 + -3 + ((sqrt(176) + -5)*2)**2.\nAnswer: -176*sqrt(11) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19.3371 and -4?\nAnswer: 23.3371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -636*l**5 - 1564*l**4 - 584*l**3 + 1272*l**2 + 1220*l + 292 = 0?\nAnswer: -1, -73\/159, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*z**5 + 267*z**2 - 1368*z wrt z.\nAnswer: -500*z**3 + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 25 = 3*i. Let p(s) = s**3 + 5*s**2 + 5*s + 3. Let f be p(-3). Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*n + 5*d + 6, -d = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011022 - 100111?\nAnswer: -2111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 134 = 2*u, 0 = 4*n - 10 - 2. Calculate the remainder when 1213 is divided by u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + 33. Suppose s = y + y. Find the common denominator of 29\/3 and 22\/33 + y\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -96*p**2 - 395*p + 5. Give d(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = -i, -4*i = -y - 34 - 0. Find the common denominator of 93\/10 and i\/(-15) + 83\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-58)\/(-3))*6. Let x = v + 1046\/9. Let u(h) = h**2 - 5*h + 1. Let z be u(5). Which is the closest to -0.1? (a) z (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = b - 123, 5*b - 5*m = 78 - 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 75, 196, 377, 624, 943?\n\"Answer: p**3 + 21*p**2 - 3*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhhffjhfffhhhh. What is prob of sequence hjhf?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/349, 2\/13 in descending order.\nAnswer: 2\/13, 2\/349, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2800208540 = 2800208539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (7 - (-4 - -14))) + (-9 - -50)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(187)\/sqrt(11)*-2 + 1)**2.\nAnswer: -8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 256*p + 259*p + 24, 5*b - 2*p = 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 71?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191621720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 - 91. Suppose 5*p = -c + 15. Solve 4 = -s, -b - 13 = 3*s - p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) + ((-51)\/9 - -3). Put p, 4, -4, 0 in increasing order.\nAnswer: -4, p, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1012?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s + 31*s + 2*s**2 + 25*s - 51680 + 4*s.\nAnswer: 2*s**2 + 48*s - 51680","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1449 + 1449 + 20*z**3 - 11*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Suppose -1 = 4*k + n - 11, 2*k + 3*n - 10 = s. What is the greatest common factor of 16 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let g = -7 + q. Let u(d) = -11*d + 5. Is u(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + 4*a**2 - 3*a. Let p be y(2). Let s be 1\/1*(-1 - p). Sort -5, 2, s in descending order.\nAnswer: s, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(5 + 2) - 2. Let c be ((-6)\/4)\/((-12)\/j). Let b = 7 + c. Sort 0, b, -5 in descending order.\nAnswer: b, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362 and 51223?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*0.5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1351001 to the nearest ten thousand.\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*n*p**3 + 111661*k**2*n*p**3 + 3*k*n*p**3 - 48919*k*n*p**2 + 2*n*p**3 wrt k.\nAnswer: -12*k*n*p**3 + 223322*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -v - 1, 3*v + 15 = 3*x. Let s = -22814609\/110 - -207407. Let q = s - -2\/55. Are x and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42433 (base 6) to base 10.\nAnswer: -5781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 3. Let m be w(5). Solve 5*n + m = -18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -154155 (base 9) in base 2?\nAnswer: -10111001010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -a2a?\nAnswer: -a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n - 419 - 1581 = 0 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = y - 5*y, 0 = -3*y - 3*z + 18. Let q = -38 - -66. Let s be (-8)\/q - (-18)\/14. Is y at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:24 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2904 - -12939. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, 4, -44.6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 55929*p + 335610. Calculate q(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 3. Let v be u(4). Suppose -4*x - v - 7 = 0. Let r = 154433 + -154433.1. Which is the nearest to r? (a) 5 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 850.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 11*w**2 + 8*w - 12. Let g(q) = -2*q + 13. Let h be g(5). Let t be 5\/((-2)\/12*h). What is the smallest common multiple of m(t) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 30 - 6. Suppose -3*y = 3*y + l. Is 1079 - (0 - (1 + y)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 9. Let o(n) = n**2 + n. Let j(a) = -6*a**2 + 3*a - 7. Let x(c) = j(c) + 4*o(c). Let b be x(3). Calculate g(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -808697 divided by -19?\nAnswer: 42563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 + 3 = 0. Let v = 215.8 + -161. Let w = 54.75 - v. What is the nearest to h in w, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10757556569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 508*c**2 - c + 1238*c**2 + 825*c**2 - 1654*c**2 in the form x + u*c**2 + n*c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 66473893 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 640, 940, 1224, 1486?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -37*j**3 - 43*j**2 + 75*j - 33. Calculate a(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((198\/22)\/(-180))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 1198*c + 221155. Determine x(228).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 218.01 + -219. Let q = -0.2 + -0.8. Let d = p - q. What is d rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + x - 3*x)*(0*x - 2*x + 3*x) + 35304*x**2 - 35305*x**2 - 7264 + 895 to d*x + a + t*x**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - z + 1. Let d(q) = -q**4 - 21*q**3 - 33*q**2 - 21*q + 2. Let v(w) = -d(w) + 2*g(w). Determine k so that v(k) = 0.\nAnswer: -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201973?\nAnswer: 201973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021 + 12222?\nAnswer: 100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166 + -78. Let r(j) = -44*j + o*j - 40*j. Let q(d) = -d**2 + 2*d + 5. Let b be q(4). Calculate r(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {k: 1, f: 1, h: 5, a: 1, b: 6}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -106367*f + 1595507. Determine n(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q + 3*q - 9*q - 27*q + 9 - q to the form i*q + g and give i.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -2.3, 5\/43?\nAnswer: 5\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(-4 + (1*sqrt(405)*6 - sqrt(405)) + -3 + -4) + 0)**2.\nAnswer: -15840*sqrt(5) + 163936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((15\/5*1)\/(20\/10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*a - 63 = -96*a. Let z be ((26600\/a)\/2)\/((-1)\/150). What is z rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = -2*y, -9*y + 11 = -4*y - 3*g. What is the second derivative of 41*w**y - 4 - 22*w**4 + 42*w**5 + 12*w - 44*w**5 wrt w?\nAnswer: -40*w**3 + 228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -3. Suppose 4*a = 0, -3*a = 7*f - 8*f + 5. What is the derivative of 8 - f + s*r + 0 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqqnqnaqnn. What is prob of picking 2 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1.488682\nAnswer: 0.1488682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/290 and 37\/122.\nAnswer: 17690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 29 = z, z = 2*m - 6 - 8. What is the remainder when 7 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 3 - (-27 - -16). Let l(q) = q**3 - q**2 + q + 3. Let u be l(2). What is the greatest common divisor of u and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 82 = -78. Suppose -4*r - t = -4*h, -6 = h + 4*r + 9. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -21, -5.\nAnswer: -21, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 + 24*h**3 - 864*h**2 + 13824*h + 51. Factor d(i).\nAnswer: -(i - 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/360 and -79\/272904.\nAnswer: 4093560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.09 - -19.79. Let j = 0.065 + 16.935. Let t = j - k. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*u = 30. Let y(d) be the third derivative of 1\/840*d**7 + 0*d + 0 + 0*d**3 + 1\/1344*d**8 - d**2 - 1\/480*d**6 + 0*d**4 - 1\/240*d**u. Factor y(b).\nAnswer: b**2*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**2 - 160*m + 1. Give h(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 155*r - 178. What is the thousands digit of s(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*r*s**3 - 2*g**2*r*s + 56*g**2*s**3 + 6*g**2*s + 23*g**2 + 2*r*s**2 wrt s?\nAnswer: 12*g**2*r*s + 336*g**2*s + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {u: 1, g: 5, q: 6, b: 4}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/5 - 393*v**3\/5 + 1173*v**2\/5 - 1171*v\/5 + 78 = 0. Calculate v.\nAnswer: 1, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbb when three letters picked without replacement from ccbbbbbbbbbb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30911 * -10.1\nAnswer: -312201.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.7209 and 2.\nAnswer: 3.7209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 4, -53, 105 in increasing order.\nAnswer: -53, -3, 2, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/(2\/(-9)). What is the second derivative of r - 6*r + 5*r**t + r - 3*r**3 wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**3 - 6*c**3 + 2*c**3)*(2*c - c - 4*c) + (59*c**2 + 54*c**2 - 12*c**2)*(2*c**2 - 4 + 4) to the form f*c + v*c**3 + q + j*c**2 + d*c**4 and give d.\nAnswer: 211","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 thousands digit of 1289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 267380 and 14868?\nAnswer: 993851460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 0*x + 2*x)*(-92 + 74*x**2 + 115*x**2 + 91) in the form u*x**3 + k + q*x**2 + y*x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 2*o**2 + 12*o - 7. Let k be d(8). Suppose -31*s = -81 - 260. What is the greatest common factor of k and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.2, -0.3, 1\/5, -0.4, -166, 735?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486 > 3485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-195)*10\/1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 23085*z - 2243*z + 7.\nAnswer: 20842*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:08 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/((-1)\/(-6)). Let r(g) = 4*g**2. Let f(l) = 11*l**2. Let v(b) = y*f(b) + 14*r(b). Let k(z) = z**2. Determine v(k(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2123 + -14911\/7. Calculate the common denominator of 50\/11 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 159623178 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = 21*u - 1037. Suppose -18*l + 20*l = 130. Is u != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 0*q**2 + 0*q + 0*q**5 - 2 + 4\/3*q**3 + 0*q**6 + 0*q**4 - 1\/7*q**7. What is the third derivative of v(s) wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -427 - -102?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 10 = f, -3*f - 3 + 1 = 2*u. Suppose 12*s - f*s = 30. Let v(k) = k**2 - 14*k + 22. What is the remainder when v(13) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/7 - -5\/14. Is 7 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 604 + -284. Let w be 75\/(-50)*192\/(-9). Calculate the greatest common factor of w and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 49*j**3 - 6*j**2 - 30*j - 18. Let c(t) = 99*t**3 - 13*t**2 - 65*t - 37. What is 6*c(y) - 13*x(y)?\nAnswer: -43*y**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5482437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7*i - 8*i. Suppose x - 14 = -x. Solve i = -3*d - x - 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + t**2 - 287*t**3 + 95*t**3 + 86*t**3 + 88*t**3 to j*t**3 + b + d*t**2 + g*t and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q*q\/(q\/(q*q**5))*q*q*q)\/q)))**(1\/2)\/(q\/(((q*q\/(q\/(q**(-5)\/q)))\/q)\/q))**(-2\/75))**(-3\/7) assuming q is positive.\nAnswer: q**(-101\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/29)*g*g**7 assuming g is positive.\nAnswer: g**(234\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24, -161, -300, -441, -584, -729?\n\"Answer: -r**2 - 134*r + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x. Let w(a) be the second derivative of a**6\/240 + 3*a**4\/4 - 10*a. Let l(h) be the third derivative of w(h). Calculate l(z(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - -18. Let w = x - 65. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*p**4 - 28*p**4 + 10*p**3 - 21*p**4 + 1 - 31*p**3 + p**2 to u*p**2 + n*p**3 + d + z*p**4 + k*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15424, -61689, -138806, -246781, -385620?\n\"Answer: -z**3 - 15420*z**2 + 2*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (21 + 22 - 33) + -33 + 30\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24065140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2150*c**2 - 6471*c**2 + 2159*c**2 + 2164*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3*d**2 - 4)*(0*d - d + 12*d) + 0*d**3 - 7*d**3 + 8*d**3 - d**2 as w*d**3 + y*d**2 + q*d + x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**4 + i**4 - 2*i**4)*(5 + 1 + 2).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 406?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1610 and 45.\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**2\/2 + 15*q + 4. Let k be f(-13). Find the third derivative of s**k + 2*s - 2*s + s**4 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.493335508 rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llw. Give prob of sequence wll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 - 2*u + 8. Determine y(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 5*r + 6 = -11*l, 0 = -2*l + 4*r + 12. Let n = -3 + 4. Let y be 2 - 0\/(2\/n). What is the greatest common factor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10644.\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178c736 (base 14) to base 11.\nAnswer: -6628314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2043, -4249, -6493, -8793, -11167?\n\"Answer: -3*q**3 - q**2 - 2182*q + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -2*j**3\/21 + 141*j**2\/7 - 1664. Factor t(f).\nAnswer: -2*f*(f - 141)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.115396 - -83.152396. Let j = 83 - t. Let r = j - 0.223. What is r rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 11\/5 + (-713)\/2415?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (91\/(-28))\/13 - (-22)\/(-8). Let d = 7 - 3. What is the nearest to -0.2 in t, -2\/15, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -1567.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.1, 4, -19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 103 = -69. Calculate the remainder when 117 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - l - 3*l + (3*l + 2*l + l)*(5 - 4 - 2))*(l**3 + 5*l**3 + 4*l**3) to the form y + h*l**3 + f*l**2 + x*l**4 + n*l and give x.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(176) - (sqrt(176) - (sqrt(176) + (sqrt(176) + -1)**2))) + (sqrt(11) + 0)**2*-3.\nAnswer: -4*sqrt(11) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*-1)\/2 - -1. Suppose 42*v - 5*w - 14 = 44*v, -4*v + 20 = -2*w. Sort -1, v, 2, g in decreasing order.\nAnswer: v, 2, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 3*y**3 - 2*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from gocqgcys?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 7. Suppose 5*l = -2*q + 8*l + 192, -3*q - 2*l + 314 = 0. What is the greatest common factor of z and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*l + 425000, m - 85000 = -0*m + 5*l. What is m rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (1617\/(-45))\/(-7). What is the closest to -0.2 in -43, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.5 and -1647.\nAnswer: 18940.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2 - 12*m - 6. Let c(p) be the first derivative of -8*p**3\/3 + 11*p**2\/2 + 5*p + 4. Let v(r) = -7*c(r) - 6*x(r). List the prime factors of v(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 6*n - 1. Let f be j(-7). Let m be f\/(-4)*-6 + 3. Solve 2*y = -m + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12642 - -12657. Which is the nearest to -8? (a) 2 (b) 0.4 (c) g (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 + 7*m - 5. Let d(f) = -f**2 + f + 1. Let z(r) = -4*d(r) - t(r). Let n be z(-8). Suppose -4*u - u = -n. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/2*(-39744)\/10800.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81056 + -727394\/9. Which is smaller: m or 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b2 + -1a?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 4, -2\/9, -71?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 174. Let y(s) = 3*s + 551. Let x(z) = -19*a(z) - 6*y(z). Let q = -2 + 6. What is x(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 4*t**3 - 4*t**3)*(5 - 7 - 8) + (289 + 135 - 133)*(-t**2 - t**3 + t**2).\nAnswer: -271*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2. Let i(g) = -9*g - 3. Determine i(o(d)).\nAnswer: -45*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 11:52 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10022210102 (base 3) to base 8\nAnswer: 177663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-7 + 1 - -13) + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 66*w**2 + 1. Calculate n(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 26 = 2*v, -4*h + 21 = v - 0*v. Let m = -2999 + 3005. Does 9 divide (-56)\/(-6)*m\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -32*h**2 - 17*h. Let u(k) = 11*k**2 + 6*k. Let p(z) = 6*s(z) + 17*u(z). Let i(n) = 6*n**2. Let l = 5995 - 5992. Give l*p(y) + 2*i(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w**2 - w. Let b(c) = 30*c**2 + 4*c**2 - 19*c**2 + 62*c**2 - 4*c - 21*c**2. Determine -3*b(i) + 16*x(i).\nAnswer: 8*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.412602 rounded to 1 decimal place?\nAnswer: 239.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 j when four letters picked without replacement from hhjaajhhjhjhah.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 46508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.9. Let r be 50\/168*(-2 - -1). Let d = -1\/28 + r. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 + 9*t**2 - 52*t. Let w(n) = -7*n**3 + 10*n**2 - 52*n. Let q(z) = -6*h(z) + 5*w(z). Find the second derivative of q(b) wrt b.\nAnswer: 6*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s. Let z(k) = -9*k. Suppose -6*g + 18 = -2*w - g, 3*g = -4*w + 16. Let l be (10\/(-20)*10)\/(-1*w). Give l*z(u) + 4*j(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 117 - 115. Suppose -k + 190 = n - z*k, 0 = k. What are the prime factors of n?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3321*q + 998*q - 243712 = 5813*q + 447848 for q.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d**2 + d + 1. Let t(y) = 2*y**3 - 8*y**2 + 6*y + 8. Let w(z) = -8*l(z) + t(z). What is the second derivative of w(b) wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -57. Find the second derivative of 89*o**3 - z*o - 18*o**4 + 2*o - 89*o**3 wrt o.\nAnswer: -216*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/31)\/l)**44 assuming l is positive.\nAnswer: l**(-1276\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g - 1. Let b be a(2). Suppose b*n - 7*n + 390 = 0. What are the prime factors of n?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48360568 to the power of 1\/2, to the nearest integer?\nAnswer: 6954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/4)\/((-9)\/(-72)). Let y = 8 - 7. Is x equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364)\/385 + (-24)\/(-44)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 x when four letters picked without replacement from {r: 13, x: 3, f: 2}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n. Let c(y) = -1577*y**2. Calculate c(w(x)).\nAnswer: -14193*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 7*q + 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 16, -12 = -4*y - 3*c + 5*c. Let u = 54 + -1569\/29. Is y at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmnn when four letters picked without replacement from {n: 2, d: 2, u: 1, k: 2, m: 1, z: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79\/5 - -479\/30. Let q(s) be the third derivative of y*s**3 + 0*s + 0 - 7*s**2 + 1\/6*s**4. What is the first derivative of q(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 2*i**2 - i + 1. Let z(x) = -3*x**2 - x. Let r be z(-1). Calculate the lowest common multiple of a(r) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + t)*(-3*t + 2*t + 2*t)*(-6 - 8 + 4).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -16*u**2\/3 + 21302*u\/3 + 25810 = 0.\nAnswer: -29\/8, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 346 and 2595?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 - 162*f**2 - 4524*f - 27040 = 0. What is f?\nAnswer: -13, -10, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -28*q**3 + 3*q**2 + 143*q + 941. Determine d(-6).\nAnswer: 6239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(6\/(-2)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.4391.\nAnswer: -0.17564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225843.\nAnswer: 3, 83, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l. Let i be z(4). Let h be 58\/i + (-27)\/(-36). Let v be (60\/490)\/((-1)\/(-7)). Is v smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -602965*s**2. Let b(k) = 8*k. Determine v(b(f)).\nAnswer: -38589760*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o - 2*u - 16 = 0, -12 = 3*o + 2*u. Let x = 8359 + -8364. What is the nearest to o in x, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/11 - 558*a**4\/11 + 16024*a**3\/11 - 163296*a**2\/11 + 58752*a - 857088\/11 = 0.\nAnswer: 3, 4, 12, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3460)\/(-2422))\/(4\/(504\/(-5)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/5910 and -47\/5319.\nAnswer: 53190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1613.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54 + (-4)\/(-1) + -3. What are the prime factors of -2 + (-1 + f)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -73. Suppose -2*u + c = 9. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335049, 1340161, 3015347, 5360607, 8375941, 12061349?\nAnswer: 16416831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3116639 months to years.\nAnswer: 0.109305325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -101*t**4 - 8*t**3 + t**2 - 999*t + 8. Let n(j) = 2*j**4 + j**3 - 2*j - 1. Let x(y) = 8*n(y) + u(y). What is the second derivative of x(k) wrt k?\nAnswer: -1020*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 215*l**2 - l + 41. Let w(k) = 5*k**2 - k. Let s(i) = b(i) + w(i). What is the second derivative of s(h) wrt h?\nAnswer: 440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 8. Let l be x(6). Let q be (-1)\/(54\/14 - l). Let y be -6 + q - 2\/(-1). Solve 1 - y = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5365108 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1304*l**2 - 69545*l + 69545*l.\nAnswer: -1304*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 57?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 462 + -359. Is q at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 98, 307, 714, 1385, 2386, 3783?\n\"Answer: 11*g**3 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36\/17 - -502\/221. What is the second biggest value in 2\/11, d, -2\/19?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3327 is divided by 185.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2736*m - 2442 with respect to m.\nAnswer: -2736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o - 192. Suppose 17*l = 16*l - 2, 2*w - 3*l - 6 = 0. Let n = w - o. Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, r: 6, i: 1, b: 2, q: 1, m: 1}. Give prob of sequence rb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86698\/25 - -3468. Let b(u) be the first derivative of -4\/5*u**4 + 11 + 8\/5*u**2 + 2*u**3 + j*u**5 - 32\/5*u. Factor b(x).\nAnswer: 2*(x - 4)**2*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/15597475 and 24\/125?\nAnswer: 77987375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8785\/3 - (-20)\/30?\nAnswer: 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Let i(v) be the first derivative of -3\/5*v**5 - 3 - v + 0*v**m + 0*v**2 + 0*v**4. Differentiate i(p) with respect to p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3 + 12654809*i**2 - 40036066688827*i + 120108086173227 = 0.\nAnswer: 3, 6327403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*k + 103*k = -3*w + 47, -2*w = -k - 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 28?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -27. What is the remainder when 81 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8938*v + 33165 = -7933*v for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2+-0.0928\nAnswer: -2.0928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 661\/12306 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*69.683.\nAnswer: -1881.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 0*g - g + 2*g + 2. What is the lowest common multiple of s(2) and 29\/5 - (-5)\/25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Let q be (33\/o)\/(4 - 3). Solve -5*p + 14 = -q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -18. Suppose 3*s + 5*r - x = 0, -5*s - 4*r + 5 = r. Let o be s\/(-4) - 33\/(-44). What is the greatest common divisor of o and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37010083 + -5?\nAnswer: -37010088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(209))\/(sqrt(704) - (sqrt(704) + (sqrt(704)*2 - sqrt(704)) + sqrt(704))) + 2*(4 + sqrt(1216)*1).\nAnswer: 8 + 33*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1675668.\nAnswer: 2, 3, 311, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-10) - (-4)\/2. Let l be 14\/(-210) + 22\/(-165). Put x, l, 1\/4, -4 in increasing order.\nAnswer: -4, x, l, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50, 43, 32, 17, -2, -25?\n\"Answer: -2*x**2 - x + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - ((sqrt(152) + sqrt(152)*1*-4 - sqrt(152)) + sqrt(152)) - sqrt(152))\/sqrt(8) + 1)*6.\nAnswer: 6 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108395\/18 - 6027. Find the common denominator of -97\/924 and o.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {b: 4, f: 1, d: 5}?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a week in minutes?\nAnswer: 96768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**4*z)**(1\/59)\/(z\/(z**6\/z)*z*z**(4\/15)*z) assuming z is positive.\nAnswer: z**(1639\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(11*s + 13*s - 5*s + (0 - 2 + 0)*(-4*s + 2*s + 4*s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-414)\/(-322))\/((-7)\/49).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*n + n. Let g be -2 + ((-6)\/n - -9). Let o(v) be the second derivative of -v**4\/12 + v**3\/2 + v**2\/2 - 22*v. Determine o(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 741, 1181, 1621, 2061?\n\"Answer: 440*l + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 7*n - 15. Solve a + n*s - 10 = 0, 6 + 0 = 3*a - 3*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 divided by -5.\nAnswer: -406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**3 + 4*l**2 + 2*l + 3. Let d be (1 - 3\/9)\/((-2)\/(-3)). Let b(t) = -t**3 + t**2 + t + 1. Calculate d*r(y) - 4*b(y).\nAnswer: -3*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/12 + 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-8 - (-22 - -9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -1\/2*b**3 + 0*b**2 - 3*b - 14. Let m(a) = -3*a. Determine m(g(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 24*w + 3. Let h(f) = -23*f - 8. Let r(q) = 5*h(q) + 6*n(q). List the prime factors of r(18).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12525083 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1069302285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 7*d**3 + d**2 - 6*d**3 - d**2 + 7*d - 6*d - 1. Calculate y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9479 + -2574. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a - b77?\nAnswer: -b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2097862 milligrams in tonnes?\nAnswer: 0.0000000002097862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -30. Let h = -3 - u. Let s be 3 + (-935)\/(-25) + 3\/h. Calculate the greatest common factor of 123 and s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-13)\/(j**(-3\/2)\/j)*(j\/(j*j**(-4\/3)))**(-12) assuming j is positive.\nAnswer: j**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6183*f**2 - 431*f + 431. Is a(1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68689019 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47528919239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309862?\nAnswer: 2, 7, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6441652 to the power of 1\/2, to the nearest integer?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -854\nAnswer: -1\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/5 + 5902*o**2\/5 - 47112*o\/5 + 70632\/5 = 0. What is o?\nAnswer: 2, 6, 2943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 99, 133, 201, 315?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -13 + 8 - (-19 + 2). Solve 7*z = 3*z + p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14903792 is divided by 83729.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 394, 373, 322, 235, 106?\n\"Answer: -b**3 - 9*b**2 + 13*b + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 2. Let y = -669 + 1048. Let u = 374 - y. Determine b(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 3. Let b(o) = 6*o + 8. Let n = 3 + 8. What is n*s(y) + 4*b(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -953806?\nAnswer: 381522.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 10*u**2 - 5*u + 8. Let o be x(-6). Suppose 5*p + o = -0*p. Let n be 8\/(-2 + (-45)\/p). What is the highest common factor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*z + 20*z - 50*z + 2*z**4 + (-z + 0*z - 3*z)*(4*z**2 - 4*z**2 + 2*z**3).\nAnswer: -6*z**4 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -82\/3, -1\/4, 2\/9, 22 in descending order.\nAnswer: 22, 2\/9, -1\/4, -82\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140161 + d**3 + 280363 - 140202 + 13*d.\nAnswer: d**3 + 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((8 - 60\/8)\/((-56)\/(-32))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 7 - 27. Let g(y) = -y**3 + 4*y**2 - 10*y - 9. Let w be g(-5). Let n = -263 + w. Solve -n*m + 3 = 0, 0 = h - l*m - 0 + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/7 and -51\/9731330?\nAnswer: 9731330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20102022122 + 21010002?\nAnswer: 20200102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 21*a**2 + 18*a - 36. Suppose 0 = 17*r + 384 - 44. Let p be i(r). Put -3, -25, p in decreasing order.\nAnswer: p, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1304 and 1304?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 61. Calculate the lowest common multiple of q(86) and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 - 304*p - 838. What is x(104)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -338*z - 2154. What is a(-6)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 52080063066?\nAnswer: -52080063065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 6)*(7*x - 2 - 4*x + 2*x)*(-1 + 1 - 4)*(-2*x + 2*x - 2*x).\nAnswer: 280*x**2 - 112*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -34465 divided by -30\nAnswer: 6893\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1359095.8 from 0.131.\nAnswer: 1359095.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 6)\/2 - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.01 + 2. Let u = -2.01 - x. Suppose -5 = -3*j - 2*j. What is the closest to j in u, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/30 + 11*p**4\/24 + 7*p**3\/6 - 6*p**2. Let g be l(6). What is the highest common divisor of 5 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/(20\/(-240)). Which is smaller: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + w - 2. Let z be a(-3). Suppose -3*i + z = 4*x, 3*x = -4*i - 2*x + 28. Factor -8*n**2 - n + 4*n**i + 3*n**2.\nAnswer: -n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1216 and 9424?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 173, 176, 179?\n\"Answer: 3*g + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a2 (base 12) in base 15?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22557 - -22561. Which is the second biggest value? (a) -8 (b) -50 (c) 3\/4 (d) -1\/5 (e) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.01 + -0.01. Let h = -0.31 - 17.69. Let l = h + 17. Which is the smallest value? (a) i (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-11\/3)*h*h**(2\/23))\/(h**(2\/3)*h**4*h*h))**(-34) assuming h is positive.\nAnswer: h**(21692\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-8 - -29) + -29?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*p + 13, 4*j - 6 = p - 1. Let r be -2 - -2 - (0 + -5). Determine g, given that -2*g**p + 4*g**r + 2*g**4 - 2*g**5 - g**2 - g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -834, -1853, -3288, -5145, -7430, -10149, -13308?\nAnswer: -16913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6183 = 3*i + 3*y + 6219, 2*y + 26 = 4*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700.6*-1.\nAnswer: -700.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.47 - 0.03. Let g = 0.5 - j. Let w = -2.7 + g. What is the smallest value in -3, 0, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391334, 391330, 391326, 391322?\nAnswer: 391318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m + 3. Let r(v) = 6 - 43*v - 58*v + 86*v. What is -6*r(w) + 11*y(w)?\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*n + 86 = 1124. Sort n, -23, 7, -4 in increasing order.\nAnswer: -23, -4, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*2 - sqrt(343))*4 + -2 + 0)**2*3 + 3.\nAnswer: -336*sqrt(7) + 16479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 44*t + 149. Let i be o(18). Solve -5*q + 2*r - 8 = -28, r = -i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 2300.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.4, -2, 0, 0.115?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -335*j**2. Let n(w) = -36*w**2. Determine n(g(m)).\nAnswer: -4040100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1186, 1188, 1190, 1192, 1194?\n\"Answer: 2*a + 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ookx when four letters picked without replacement from dkkxkkodokddkkod.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11884\/12 + 3\/(-9). Find the common denominator of 31\/2 and -3 - (d\/28)\/(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-20)*410\/(-123))\/(2\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(1152)*-2)\/(sqrt(96) + 1*sqrt(96)*-4 - 2*sqrt(96)*2).\nAnswer: 40*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 3 - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72811376.\nAnswer: 2, 11, 23, 17987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96157 is divided by 96143?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 29. Let n(m) = 3*m**2 - 59*m + 40. Let i be n(19). Suppose i*h + 2*h + 28 = -x, -h - 10 = x. Sort b, -4, h in ascending order.\nAnswer: h, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.3 - 0.7. Let w = 6 - -36. Which is the third biggest value? (a) m (b) 1\/4 (c) w (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/15 (b) -150577 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -120, -120, -122, -126, -132?\n\"Answer: -q**2 + 3*q - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4316546*s**3 - 1475932?\nAnswer: 12949638*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {i: 1, l: 2, w: 2, z: 11}?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2 + sqrt(1100))*4 + 2 + sqrt(1100)*-2 + -2 + sqrt(1100)*1 + -1)**2 + 2.\nAnswer: -600*sqrt(11) + 10002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247959498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npp when three letters picked without replacement from pnnnnnnnnnnnnnnpnnn?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -32*d + 1234. What is the remainder when 1653 is divided by o(38)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*r**5 + r**3 + 41*r**5 + 362*r**2 - 22688*r**4 + 22688*r**4 wrt r?\nAnswer: 420*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/3 + 652*l**4\/3 - 11433*l**3 - 490658*l**2\/3 - 944720*l\/3 + 1372000 = 0. Calculate l.\nAnswer: -700, -7, 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -39. Let n = -13 - d. Suppose n*h - 396 = 689. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*r + 4. Let x(l) = 3*l - 1. Calculate the remainder when x(6) is divided by ((-18)\/10)\/(r\/(-5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b + 2. Let c(v) = v + 5. Let a(y) = -y**3 + 3*y**2 + y - 3. Let z be a(3). What is the remainder when i(-2) is divided by c(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) 2\/7 (b) -682365 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -101. Suppose 4*p - 27 = -b*q, 4*p - 6*p + 24 = -2*q. Suppose -180 = p*t - 15*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e921b + -6?\nAnswer: 4e9215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19.7, 1\/2, 4\/5, -591?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8042165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 54*q**2 - 53*q - 29. Let j be s(-26). Let g(v) be the third derivative of -v**5\/60 + v**4\/24 + 2*v**3\/3 + v**2. Determine g(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 4\/3*s**3 + 0*s + 0*s**2 - 1. Let d(i) = 2*i**2. What is d(x(b))?\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/5*(483075\/(-684))\/113.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**4 + 2*j + 0 - j**2 - 3*j**3 - 6 + 6 in the form i*j**3 + c*j**2 + o*j**4 + s + g*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 0\/1)*(191 - 207). Solve -5*h - o = 2*v - 6, v - 9 = 3*h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + -11 - (237 - 228)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -97*q + 238. Let l(j) = 2*j**3 - 9*j**2 + 2*j + 10. What is l(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 107300*m**3 + 1478940546*m**2 + 1067079615200*m + 197799048781952.\nAnswer: 2*(m + 376)**2*(m + 26449)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 12 + -15 - (-2 + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*k**5 + 218*k**4 + 12*k**5 - 220*k**4 + k**5 + 4*k**5 + 0*k**5 + (-2 + 2 + k**4)*(2*k + 2*k - 3*k).\nAnswer: -28*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -449*s + 489*s - 640. Let k(v) = v**3 + 11*v**2 + 8*v + 10. Calculate the remainder when k(-10) is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101212020102 (base 3) to base 2\nAnswer: 110100001100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1 + -2)*(-8)\/(-24). Let h = 1.091 - 0.991. What is the fourth smallest value in h, 2\/9, l, -15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 6. Let a be c(4). Let v be (7 - 0) + 20\/((-40)\/6). Solve -3*n = v*s - 6*s + 19, 3*s = -a*n - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 5. Let m be s(-6). Let v(w) = w**3 + 12*w**2 + 2*w + 2. Does 20 divide v(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 10. Let b = 7 - 3. Suppose p + 4*p - j*y = 75, 60 = b*p - 2*y. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjt when three letters picked without replacement from {j: 15, t: 4}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8500.524mm?\nAnswer: 8500524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*j**3 + 365*j - 17659?\nAnswer: 27*j**2 + 365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1887.21412 + 0.21412. Which is smaller: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 2*c + 4*c)*(-990*c + 840*c - 4 + 4) as x*c + o*c**2 + g and give o.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-208)\/24)\/2 + 4\/(-6). Let m(c) = 52*c - 26*c - 24*c + 1. Calculate m(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 12*i - 6 + 4 - 9 - 1.\nAnswer: 12*i - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -4*g - 2*j + 160, 0 = 5*g + 5*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -502 + 36?\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p**5 + 517*p**4 + 24*p**2 - 509*p**4 - 22*p**3 - 11*p**5 - 9*p = 0. Calculate p.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68965 is divided by 93?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(35\/(-21)) - -27. Solve -33 = m - l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 454 and 18.\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305089 is divided by 3424?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15*x**2 - 24*x + 8088. Let l(a) = -7*a**2 + 11*a - 4038. Calculate -6*d(v) - 13*l(v).\nAnswer: v**2 + v + 3966","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3119348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 t when four letters picked without replacement from sgqgtnq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:05 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -90303 - 0?\nAnswer: -90303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*t**3 - 161*t**3 + 3*t**4 - t**4 + 3*t + 322*t**3 as u*t**3 + k*t**2 + r*t + n + s*t**4 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - 5) + 3 - -2) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3025541 rounded to three dps?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -20?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 64. Suppose 212*t + u = 210*t. Sort 8, 2, -1, t in ascending order.\nAnswer: t, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 6. Suppose -b + 7 - 2 = 0. Suppose b*g - g = -x - 289988, -w*g + 1450015 = -5*x. What is x rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-88)\/16 - -5)\/((-12)\/18). Let -r - 1\/4 - n*r**2 = 0. Calculate r.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 132943.\nAnswer: -4\/132943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = 5*n - 23, -3*z + 37 = -n. Let o be 24\/z - 6\/(-39). Suppose o*l + 15 = 5*l. Solve 0 = -l*v + 5*q - 30, 1 = -v - q - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**6\/10 - 21*q**5\/25 + 27*q**4\/10 - 4*q**3 + 12*q**2\/5 - 24. Factor s(y).\nAnswer: 3*y*(y - 2)**3*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478812 divided by 119703.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 9. Let y be u(-5). Let c(k) = -k - 11. Let z be c(-13). Suppose -z*f + 6 = -y. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -155.126 or -1\/80?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4580, -4579, -4578?\nAnswer: -4577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/15)\/((((i\/i**(1\/16)*i)\/i)\/i)\/i))\/(i**27*i**(1\/6)))**(-50) assuming i is positive.\nAnswer: i**(31165\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36826, -36827, -36828, -36829?\nAnswer: -36830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 25*g - 188. Let u be o(6). Put u, -214, 4 in increasing order.\nAnswer: -214, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 13579*f**2 + 887*f - 13580*f**2 - 2*f**3 + 27159*f**2 in the form y*f + a + o*f**2 + g*f**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000909 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 * -0.0224.\nAnswer: 0.000784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 9*f - 80. Suppose 0 = x + 5*k + 3, 5*x = -4*k - f + 1. Let v be (3\/24)\/(x - -1). Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -502\nAnswer: -33\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3808 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2. Suppose 0 = -3*r - 2*v - 10, 0*r + 10 = r - 2*v. Let d(h) be the first derivative of 2\/3*h**3 + r*h**2 - 1 + 0*h. What is d(n(u))?\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236 and 3186?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 474 - -193. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times 10073?\nAnswer: -271971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -2, 24, 60, 106, 162?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 8:24 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 8:31 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 52 = 9*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13504535 bigger than 13504536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5050 (base 13) in base 2?\nAnswer: -10101100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5617.\nAnswer: 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 7:15 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 34*f - 78. Determine p(-32).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*z**4 + 2549*z**2 - 21931*z?\nAnswer: -180*z**2 + 5098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1245 + 270 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163.9 - 163.7. Which is the third biggest value? (a) -49\/6 (b) v (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*w - 14, -w - 3*w = 5*z + 46. Let m(j) = -4*j - 25. Let u be m(z). What is the units digit of 2\/(81\/79 + u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 5741466?\nAnswer: 5741463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 841616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 42 = -3*n + 7*n, -10 = 5*q. Suppose -n*b = -6*b - 42. Let w = -6 + b. Calculate the remainder when 43 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 4*m**2 - 4*m**2)*(-3974*m**2 - 3645*m**2 + 8900*m**2).\nAnswer: -1281*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 706062445 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*t + 5*q, -4*t - 3*q + 19 = -0*t. Suppose r - 4 = 2. What is the units digit of (18 - (-2 + t))*(11 - r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -40*k + 46*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 182 = 5*b, b + 6 - 24 = -4*s. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26545.97078 to the nearest 10.\nAnswer: 26550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/7 - 12*q\/7 + 110\/7 = 0. What is q?\nAnswer: -11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -325.7238814 rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 3:12 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 10 = 3*j. Let n be (3\/j)\/((-3)\/4). Does 6 divide 40\/(-2 - -6) - n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 3. Let i be j(-3). Suppose -k + 0*k + 18 = i. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536839 divided by -403.\nAnswer: -536839\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 9637.\nAnswer: 481.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-4 - sqrt(130) - sqrt(130))\/sqrt(10) + 1 + sqrt(39)\/sqrt(3).\nAnswer: -5*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 10 = 3*p, 6*p + q = 5*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 275?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 845 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/3 - 169370*z\/3 - 338716 = 0. Calculate z.\nAnswer: -84679, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/4 - (-2)\/(-1). Let w(r) = -3*r - 9. Let g be w(q). Suppose n + 4 = g, -j - 2*n + 0 = -2. Solve j = 2*u - 0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 40545, 1616 in decreasing order.\nAnswer: 40545, 1616, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11110101100011111111 (base 2) to base 3\nAnswer: -1220002201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 11*n. Let b(c) = c. Let k(m) = 22*b(m) - 2*u(m). Let z(h) be the third derivative of 5*h**4\/8 - 547*h**2. Give k(z(f)).\nAnswer: 450*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105816 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r + 48 = -3*a, 22 = -2*r - a. Let s be ((-1)\/(-3))\/(r\/(-1080)). Let c be ((-15)\/s)\/(12\/(-88)). Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5916675 minus -1.2?\nAnswer: -5916673.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-7 - (2 + -1)). Suppose 0 = 4*t + t + 10. Let g be (t - (-10)\/4)*4. Solve -g*d + 20 = -y*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 7312.\nAnswer: 372912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from qbqbuquqlqqbqqqb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*-10513.04.\nAnswer: 1471.8256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 - 22*m - 5061. Let u(z) = -6*z**2 - 23*z - 5007. Let k(c) = -3*d(c) + 4*u(c). Differentiate k(f) with respect to f.\nAnswer: -24*f - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.4, -3\/2, 17, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r + 0*r + 4*r)*(3*r**3 - 4*r**3 - 6*r**3)*(-121 + 49 + 22) as n*r + z*r**2 + j + p*r**3 + y*r**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 i, and 1 h when four letters picked without replacement from {i: 7, u: 1, f: 1, o: 2, h: 4}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.034320609 and -2873.58.\nAnswer: -2873.614320609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54643393 from -2.\nAnswer: -54643395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13*c**3 - c**2 - 12*c - 16. What is o(-2)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 40*w + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0913 - 0.4317. Round d to 2 dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -67078.92 rounded to the nearest 100?\nAnswer: -67100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 1, b: 2}. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24132)\/(-672) + (-4)\/14. Let j = -28 + b. Which is greater: j or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 416974516?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 680770 + -680772.299748. Let i = 2.3 + s. What is i rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1080886, 1080922, 1080958, 1080994, 1081030, 1081066?\n\"Answer: 36*o + 1080850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 3, 7, 15, 27?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*o, o - 68 = -5*m + 4*o. Suppose 0 = -5*j + 3*j - 4. Let x(u) = -u**3 + 3*u**2 + 3*u + 2. What is the lowest common multiple of x(j) and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 + 22*a**2 + 17*a - 2. What is the remainder when 51 is divided by i(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - -2.1. Which is the closest to -0.1? (a) -2\/13 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -1.042282\nAnswer: 0.942282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 155?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2 + 2 + (-c - 2*c + 4*c)*(-2 + 0 + 4) - c - 2*c + 2*c - 32*c + 22*c - 30*c)*(-2 - 3 + 4).\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 28*r**2 + 62*r + 25. Is q(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -139 - 645*w + 139 as k + m*w and give m.\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/17 + 110*l\/17 - 112\/17.\nAnswer: 2*(l - 1)*(l + 56)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*k - 15. Suppose 2*c = -5*n + 2, 3*n + 3 = 2*c + k. What is the closest to -1 in -5, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7807875.\nAnswer: 3, 5, 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-6)*c*c\/(c**4*c))\/(c*c\/(c*c\/c**6)*c**(3\/7)))\/((c\/c**6)\/c**(-2\/5))**(2\/9) assuming c is positive.\nAnswer: c**(-4223\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xru when three letters picked without replacement from xyrurbbbxbbrrfx?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155937, -156002, -156109, -156258, -156449, -156682, -156957?\nAnswer: -157274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - -11010?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 13 + 3*h**2 - 8 + 1 - 35*h in the form u*h + k*h**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = z + 7, -z = -2*k + 10 - 0. Find the third derivative of 2 - 29*d**3 - 54*d**k - 33*d**3 - d**2 - 35*d**3 wrt d.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 5*d**2 - 2*d**2 - d**2 + 0*d**2 - d**2 + (-2*d - 2*d + 5*d)*(d - 3*d + 0*d) - 4*d**2 + d**2 + 2*d**2)*(-5 + 2 + 2)*(-d**3 + 7*d**3 - 3*d**3).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnaj when four letters picked without replacement from {j: 5, b: 2, u: 1, a: 1, n: 6}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjrr when four letters picked without replacement from {h: 1, r: 3, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1480 and 0.3?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 + 14*m**2 + 299*m - 7. Let z(x) = -2*x**3 - 8*x**2 - 149*x + 4. Give -4*l(p) - 7*z(p).\nAnswer: -2*p**3 - 153*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60996*j*x**4 + 11*j*x**2 - 2*j*x + 3*j + 3*x**4 - x**2 + 88 wrt x?\nAnswer: 1463904*j*x + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*b**2*f*q + 2*b**2*f + 2*b*f*q + 3*b*f - f*q + 25*q - 55 wrt q?\nAnswer: 11*b**2*f + 2*b*f - f + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12745*f**2 - 25485*f**2 + 12742*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -3, 0.766, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 11*z = 3*p - 56*z + 2, 0 = -2*z - 0*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3, -1 = -2*s + p - 0*p. Suppose -109*x = -86*x - 253. Calculate the highest common factor of s and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2. Let d(n) = -3*n**2. Let w(b) = -8*d(b) - 5*v(b). Let z(k) be the first derivative of k**2 + 31. What is w(z(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -44, 4 in descending order.\nAnswer: 4, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:33 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = 24. Suppose -5*o + l + 22 = 2*l, -3*o = -l - v. Let q be 18\/(-30)*5\/o. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n**2. Let b(f) = -12*f. Determine s(b(p)).\nAnswer: -2160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 162*r + 6487. What is the remainder when 184 is divided by k(91)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56668\/651 + (-1460)\/(-1533)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v)**29*v**(-2\/9)*v**8 assuming v is positive.\nAnswer: v**(-1235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 3666?\nAnswer: 3663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 240 (b) 0.2 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512 = -111*w - 105*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 144.\nAnswer: -19\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 6\/5. Let t = -3\/10 + k. Is t > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-7)*k)\/k**(-2\/7))**17*k**(-1\/12)\/((k*k*k\/k**6)\/k)*(k\/(k*(k*k**(1\/4))\/k))**(1\/9) assuming k is positive.\nAnswer: k**(10190\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - 0) + -1)*1. Let b = 0.3 + -0.2. Let s = 5.6 - 6. What is the closest to p in -5, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(171) + sqrt(171))\/sqrt(9) + sqrt(19))**2*-2 + (-1*sqrt(190)*4 - sqrt(190))\/sqrt(10).\nAnswer: -1368 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7)**(-18)*((((v**(-20)*v)\/v*v)\/v*v)\/v)**(11\/7) assuming v is positive.\nAnswer: v**(-1102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfb when three letters picked without replacement from {c: 1, h: 4, b: 9, z: 1, o: 1, f: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28309 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/31*(48\/64)\/((-1590)\/(-424))\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 10 = 5*l. What is the tens digit of ((-15)\/30)\/((l*2)\/(-428))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -491*i + 496*i - 70, 5*j = -2*i - 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47809 = -156*z + 56077 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 330.91 + -331.6. Let z = -0.271 + -0.019. Let o = u - z. Is -9 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -w + 28*x - 25*x, -5*w - 145 = -5*x. Put -1, w, 5 in decreasing order.\nAnswer: 5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 49*t**2 + t - 4. Let y be v(3). Let b = -2191 - -2211. Suppose 0 = 15*f - b*f + y. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1234 times -1394.83\nAnswer: 1721220.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34112 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - -4.4?\nAnswer: 72.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 13*m = -162. Let z = m + -73. Solve 3*d + d = -z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/(2\/15). Let y(a) = -a**2 + 2. Let x(j) = 2*j**2 + 4*j - 3. Let h(q) = -x(q) - 3*y(q). Give h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5800\/174*(-5)\/((-10)\/12). Suppose i + b = 200. Solve i = 2*v + 2*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(-5\/13)*m))*m**(-4)\/m*m)\/(m**(-7\/4)\/(m*m*(m*m**(-2\/57)*m)\/m*m)) assuming m is positive.\nAnswer: m**(6907\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1863530546 and -49.\nAnswer: 1863530497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -487, -1672, -3989, -7816, -13531, -21512?\nAnswer: -32137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 3. Let z be p(5). Let x = 44 - 48. Is 26\/13*x\/z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 5*v**2 + v**2)*(-2 + 2 + v - 6).\nAnswer: -2*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/12 + 5 - 4\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(((p**(2\/27)\/p)\/p*p)\/p)*p*p**(-8)*(p**2)**(-10) assuming p is positive.\nAnswer: p**(-650\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drmrwprmpr. Give prob of sequence wpp.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/7)*d**(-1))**46 assuming d is positive.\nAnswer: d**(-506\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -20\/9 (b) 1 (c) 7312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 14*k + 7*k - 27*k + 12 + 3 to the form l*k + b and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 42668 + 81387 + 25255 = 0. What are the prime factors of x?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(sqrt(2304) + sqrt(2304)*1*-6 + sqrt(2304) + sqrt(2304)))\/(((sqrt(56) + sqrt(56)*2)\/sqrt(7) + sqrt(128) + 1*sqrt(128))*5).\nAnswer: -36*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29168)\/125787)\/(2 + 2).\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19155 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 11. Calculate y(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/49*-3*(-10)\/(-45)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4 + (sqrt(1300) - (sqrt(1300) + 0 + sqrt(1300))*-5) - (sqrt(1300)*1 + 3)*-2))**2.\nAnswer: 1300*sqrt(13) + 219725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l, 3*l + l - 20 = -5*v. Solve v*u = 3*c + 1 - 2, 4*c = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002047432 rounded to 7 dps?\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74395 divided by 43?\nAnswer: 74395\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -16, -13, -10, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 205, 679, 1601, 3121, 5389?\nAnswer: 8555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2 - 24*h - 4304. Determine w(32).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f - 4*s - 48 = 0, 0 = 3*f + 2*s - 20. Suppose 4*j - f = -0*j. Suppose 4*h - b - 85 = -0*b, j*h + 4*b = 38. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51 + -10*(-5)\/10. Suppose -22*g + v = -18*g. Calculate the remainder when 31 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1260\/(-25))\/(20\/(-100)). Calculate the greatest common factor of i and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 9*p - 1. Let y be o(-4). Let v = 21\/23 - -855\/46. Let t = y - v. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.6 - 45.6. Which is the third biggest value? (a) o (b) 1\/8 (c) 4\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h**2 + 22*h**2 + h**3 - 7*h**2 - 3 + 3*h. Determine x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + s**4 + 2*s**4 + (16*s - 7*s**3 - 18*s - s**3)*(-s + 0*s - 7*s) to the form x + y*s**2 + t*s + h*s**3 + k*s**4 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**4\/12 - 5*g**3\/6 - 3*g**2\/2 - 21*g + 1. Let y(w) = -w - 1. Determine m(x) - 3*y(x).\nAnswer: -x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/120 + i**5\/30 - i**3\/3 + 2*i**2. Let o(c) = -c**2 + 1. Calculate 2*o(y) + r(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3008.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 214548.96 minutes?\nAnswer: 3575.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-7889)\/184 - 34?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -236 - -255. Let o = t + 129. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.9 (b) -2\/11 (c) -0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 707?\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1, -5 in increasing order.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6964 - -14305. What are the prime factors of f?\nAnswer: 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -238323788\/25 + 9536380. Let t = 3430 - p. Find the common denominator of ((-249)\/(-20))\/((-6)\/(-4)) and t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 9:40 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = 7*t + 338. Let d = 12 + t. Let j = d - 9. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.050096?\nAnswer: -0.025048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5048276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + y + 14 = -y, 0 = -3*x + 83*y - 79*y - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 56. Let y = v - 15. Let g(f) = 9*f**2 - 10. Is g(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 c when three letters picked without replacement from bpickcibcppbkr?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**4 - 440*m**3 + 8755*m**2 + 40940*m + 31740 = 0. Calculate m.\nAnswer: -3, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiihiihhviviihvhv. Give prob of sequence hhi.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -g - 5*z, -28 = -43*g + 48*g - 4*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454598?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036 = 92*i + 1885 - 437 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10 = -2*b + 3*m, -5*m = -2*b - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 0\/((-16)\/4). Let l be (3 + -6)*t - (-15)\/(-5). Suppose 3*k - 3 - 9 = l. Solve k*v - 6 = 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*o - 4, -o = -17*z - 0*o - 55. Let s = -1 + 1. Sort 1, -1, s, z in ascending order.\nAnswer: z, -1, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -20313424?\nAnswer: -20313417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114.444 meters to nanometers.\nAnswer: 114444000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.075 in -2\/3, 3, -1\/8, -23, -2\/11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.6 in -4\/7, 5\/6, 0, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82, 200, 322, 448?\n\"Answer: 2*n**2 + 112*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/16*-5*(-8)\/(-1080).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -66*d - 725. Let m be q(-11). Sort -16, 7, m.\nAnswer: -16, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 10*p**2 - 8*p + 3. Let h be i(9). What is the units digit of (1904\/h - 2) + (-2)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 2*q**2 - 4*q**2 + 3*q**2 - q**2. Let b(r) = 12*r**2 - 3. Calculate b(v(u)).\nAnswer: 300*u**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*r + 5*f, f = 3*f + 10. Let x(i) = -i + 3 + r*i - 3*i. Let h be x(5). What is the highest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2580*m**2 - 117*m - 4. Let g(f) = -2579*f**2 + 146*f + 5. Calculate 4*g(n) + 5*y(n).\nAnswer: 2584*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 5*g + 2. Find the first derivative of 4*r**2 - 11*r**2 + 12*r**2 + 17*r**g + 12 wrt r.\nAnswer: 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 11*o**2 - 2*o - 13. Let x be d(-11). Solve x = 3*w - 4*f, -5*f + 2*f = -2*w + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137324 + 581382. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 850 by 7857.\nAnswer: 850\/7857","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4690 and -25\/98?\nAnswer: 32830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 0.3 (c) 2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 26*b - 3. Calculate c(9).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + 4 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*l**6 + 310*l**4 - 7566*l**2 + 3*l.\nAnswer: 3720*l**3 + 7440*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/6*2*-1. Suppose -160*g + 162*g = 22. What is the highest common divisor of g and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + 4 + (4 - 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Let q(z) = -z**2 + 4*z + 47. Let o be q(9). Let f(p) = -p**2 - 7*p - 3. Let a be f(-6). Solve -o*h + a*h = -s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (4 - 12) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:34 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 768 - 2084 = 0. Calculate the remainder when 465 is divided by o.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 2*a**2 + 2 + 71*a**3 + 108*a**3 - 20*a**3 + 2*a + 58*a**3 to w*a**3 + x + t*a**2 + f*a**4 + n*a and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 1, t: 1, i: 1}. Give prob of sequence rt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3310580661 by 5.\nAnswer: 3310580661\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-300))\/((9\/(-3))\/9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 60 in descending order.\nAnswer: 60, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(6\/7))\/g**(-2\/17))\/(g\/g**(-1\/11)*g**(5\/4)) assuming g is positive.\nAnswer: g**(-1917\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f1 + 432?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (155\/(-10) + -9)\/((-19)\/50122)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18.3 (b) 0.4 (c) 11\/8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n - 528. Calculate u(22).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, e: 4, w: 3, s: 3, m: 4, c: 2}. Give prob of picking 2 s and 1 m.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 1. Let r(f) = 3*f + 10. Determine 2*k(y) - r(y).\nAnswer: -y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-2)\/4)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -2, -47\/20, 5, 1, -0.5.\nAnswer: -47\/20, -2, -0.5, -0.05, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 21 = 4*z - 6, -z = m + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.266 - 2.646. Let t = l - -2.37893. Round t to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51929 or -51932?\nAnswer: -51929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 1\/83?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 26697081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 19. Let t(m) = 225*m - 3. What is u(t(c))?\nAnswer: -101250*c**2 + 2700*c - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 7*z**2 - 2*z - 7. Determine n(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6 (b) 475 (c) -0.01 (d) 2\/13 (e) 2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 53. Suppose v*o + 16 = 4*c, -8 = 5*c + o - 28. Solve -15 = t - c*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 797476 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8467146, 16934295, 25401444, 33868593?\n\"Answer: 8467149*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {r: 5, m: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j - 17. Let m be h(8). Suppose -5*k - 4*f + m = 0, -23 = -4*k + 5*f - 0*f. Calculate the remainder when k is divided by (0 - -4)\/(-1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + sqrt(468) + 5*(-1 + sqrt(468) + sqrt(468))))**2 + -5.\nAnswer: -1188*sqrt(13) + 509656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201302 - 3441?\nAnswer: -205143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 31*x**2 - 2. Suppose -t + 4 = 2*t - a, 0 = -t - 3*a + 8. Let y be m(t). Round y to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2931 by 136018.\nAnswer: -2931\/136018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeeeeeveee. Give prob of picking 1 v and 1 e.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 89, 171, 279, 413, 573, 759?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8507.07 and 0.124?\nAnswer: 1054.87668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -176851150 divided by -4\nAnswer: 88425575\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21527\/(-2369) + 18\/2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10660156*p**4 + 1650141*p**2?\nAnswer: -255843744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644194?\nAnswer: 2, 322097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -53*n + 1333. Let r be q(25). Put -7, r, -15 in decreasing order.\nAnswer: r, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672 - 639 = -3*q - 6*a, 3*q - 2*a = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Let n be 4\/(-8)*(f - 8). Let g be (-7)\/72 + n\/18. What is the second biggest value in -0.1, g, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-10 - (-21 + (-3 - -10) + -4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 111111102?\nAnswer: -111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -12. Solve 9 = 4*d - 2*v - 1, 2*d - 23 = -u*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**3 + 18*z**2 - 16*z - 17. Let u(i) = 3*i**3 - 9*i**2 + 8*i + 8. Let h(a) = 2*g(a) + 5*u(a). Give h(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -4*w + 60 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 10 = -5*s + 3*s. Sort 3, -5, -9, s, -3 in increasing order.\nAnswer: -9, -5, -3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 260\/(-28) - 22\/(-28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364524933 and 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 r, and 1 x when four letters picked without replacement from jjjxjjjrj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-5) + 1 + (2 - -4938). Let x = -2391 + n. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pafaaafpffpajpafzpss. What is prob of picking 2 s?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3666 + 3670. Solve 15 = -b - y*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2\/29 (c) 0.3 (d) -5 (e) -13878\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 241692, 489491, 737288, 985083, 1232876?\n\"Answer: -h**2 + 247802*h - 6109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*d = -10 - 10, 4*h + 14 = -2*d. Let s(f) = -f**2 + 5*f + 2. Let g be s(6). Let n = h - g. What is the highest common divisor of 2 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625794 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5673.\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108 in 2, -3, 2\/19, 5, 0.03?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*c, -6*v + 76 = -2*v - 2*c. Suppose 2*u + 73 - 291 = 5*t, 0 = -2*t + 8. Calculate the highest common factor of v and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 9180477*i\/2 + 119345187.\nAnswer: 3*(i - 3060133)*(i - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + (-3 - -2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**4 - 34 + 34 + 6*j**4 - j**4 + 5*j**4 + j**4 + 4*j**4 - 4*j**4 + (-3 + 4 - 3)*(0*j**4 + 3*j**4 - 4*j**4) + 13*j**3 - 3*j**4 - 13*j**3 + 3.\nAnswer: 17*j**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-725*w - 858*w - 14765*w - 1951*w)*(4 - 4 - w) in the form q*w**2 + z*w + h and give q.\nAnswer: 18299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 17*x**2 - 11*x - 21. Calculate f(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = 191*i + 416 + 241 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -2. Let h be (2\/(-5))\/(4\/c). Factor 0 - h*w + 2\/5*w**3 + 2\/5*w**4 - 2\/5*w**2.\nAnswer: 2*w*(w - 1)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43339489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - (-47 + -115) - -33?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 24 + 28. Let c be ((-16)\/6)\/((-78)\/117). Find the third derivative of -4*u**2 - 2*u**2 - q*u**c + 0*u**2 + 16*u**4 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 66 - 72 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.3445 nanograms in milligrams?\nAnswer: 0.0006303445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 162\/30 - (-3)\/5. Suppose 0*q = 3*q - m. Which is the closest to q? (a) -1 (b) -0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1166 and -63\/220862?\nAnswer: 128762546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2786*o - 743 + 3732 + 1426 = -1157 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-36))\/(((-80)\/8)\/60)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001 (base 3) in base 4?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f - 52*f = -3*u + 1, 0 = -3*f + 4*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31359\/128 - 245. Let d = t - 701\/384. Suppose -3*z + 4*p = 6*p + 44, -z - 14 = p. What is the common denominator of d and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42850, 85924, 128998?\n\"Answer: 43074*j - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2190\/7 or -312?\nAnswer: -2190\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 51 - 26, -3*g + 3 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llljjqjjijjrjqjjj. Give prob of picking 1 q and 1 i.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i**3 + i. Let c(r) = 4*r**2 - 68*r + 319. What is the remainder when c(13) is divided by j(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 60080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39468)\/3432*4*-1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most as big as 3921\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -51*s - 16. Let q(n) = 102*n + 34. Let i(b) = -10*o(b) - 4*q(b). Is 81 a factor of i(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 10, 3\/8, 0.1491, -44\/5?\nAnswer: 0.1491","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**5 + 16396*c**4 + 16777192*c**3 - 50429992*c**2 + 50462804*c - 16826404 = 0.\nAnswer: -2051, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 4*k**2 + 4*k. Let s(v) = v**2 - v. Let p(b) = -3*s(b) - x(b). Calculate p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -750 + 1134. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.258 times 2268.14\nAnswer: -585.18012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 3*j**2 + j + 3. Let y be s(-3). Let p(b) = 14 - 2*b + y*b - 19. Calculate the remainder when 19 is divided by p(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -283\/115?\nAnswer: -283\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 5*w + 3*f, w - 12 = 2*f. Put 5, -1, 1, w in decreasing order.\nAnswer: 5, w, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -559.3 rounded to the nearest 10?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004419308349 to seven dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 7*v - 15, 4*v - 14 + 17 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:02 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 3*x**3 + 3*x**3)*(-2*x - 2*x + 0*x) + x**4 - x**4 - x**4 - 3*x**4 + 5*x**4 + 5*x**4.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/27 and 29\/24388?\nAnswer: 658476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463.5224 millilitres to litres.\nAnswer: 0.4635224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 281*n**3*u - 19134761*n**3 - 2*n**2 - 2*n*u - 40254*u**4 with respect to u.\nAnswer: 281*n**3 - 2*n - 161016*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 459, 0, 3, -2 in decreasing order.\nAnswer: 459, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/405*9 - (-13)\/(-18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 489591, 979193, 1468795, 1958397, 2447999?\n\"Answer: 489602*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -28. Let f = z - -4. What is the remainder when 61 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 193 - 104457.\nAnswer: -104264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 40. Suppose -5*n + 3*m = -x, 5*n - 2*m - 2*m = 11. Suppose n*u - 9 = 15. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**2 + 4*q**2 + 7*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/(-10))\/(-7) + 3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 347161803 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 305361 + 3?\nAnswer: 305364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1457, -6881, -17615, -35045, -60557, -95537, -141371, -199445?\n\"Answer: -231*g**3 - 1269*g**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2156654 (base 9) to base 12\nAnswer: -47b111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1688 + -1687.98142. Round i to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*w = -6, -2*w = 3*s - w - 6. Suppose -2 = -n + s. Suppose 5*g = n*g + 4. Put 2, -4, g in descending order.\nAnswer: g, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 - 6*k**2 + 37*k**4 - 3 - 35*k**4 - k to the form l*k**3 + t*k**2 + v + s*k + y*k**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27084 is divided by 457?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 - z. Let t(g) = 16228*g - 16234*g + 10*g**2 + 10*g**3 - 16*g**3. Give -5*n(i) + t(i).\nAnswer: -i**3 + 5*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 39*k**2 - 461*k**3 - 205*k**2 + 924*k**3 - 191*k**2 - 465*k**3 to v*k + x*k**3 + o + a*k**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 82 = 46 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/56)\/(29316\/(-68404)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o + 2. Calculate r(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -30, -106, -222, -384, -598, -870, -1206?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7430098 + -647.5168?\nAnswer: -7430745.5168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 7*w - 144 = 0. Let t be 2\/(-7) - w\/14*1571. What is t rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 2\/7 (c) 0 (d) -114\/11 (e) -1\/7 (f) -0.1 (g) -422\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -66. Calculate the smallest common multiple of 10 and f.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4302*y**2 - 11603*y**2 + 22376*y**2 + 6020*y**3 wrt y.\nAnswer: 36120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(((-8)\/(-14))\/(91274\/(-329))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 + 124. Let c(a) = a**3 - 14*a**2 + 18. Let i be c(f). Let l = -19 + 64. What is the highest common factor of l and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45562744 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -145*k - 11361. Give s(-71).\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 - 82 = 0. Let u = x + -18. Solve 4*w + 5*d = u, 0*d + 4*d - 16 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -8 - -6 - (4 + -3263) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 15. Sort k, -3, 1 in ascending order.\nAnswer: k, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1402402 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*x + 22189, -y = x - 3*x + 14784. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 71 (c) -14797\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16504906 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 1 c when three letters picked without replacement from fkwcwld?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11797.15 rounded to the nearest 10?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*l - 31 + 9 = 0, 0 = v - 3*l - 7. Is (-1)\/(-1) - (v - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 + (-50)\/10) - (-8)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8767 <= 43832\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 852 = -2*z. Suppose 0 = -15*k + 499 + z. Which is greater: k or 23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + m - 1. Suppose -2*i - 5*k + 30 = 0, 6*i - i + k = 29. Let j(x) = x + 0 - 13*x + i*x + 2 + 2*x. What is -j(q) - 2*l(q)?\nAnswer: -2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3421140103 (base 5) to base 10\nAnswer: -7599403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-59 + 30 - 9) + 16\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320030 (base 4) in base 11?\nAnswer: -5863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 2*j**7\/21 - j**3\/6 + 3*j + 4. Let y(k) be the first derivative of o(k). Find the second derivative of y(z) wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 7*z**3\/6 - 85*z**2\/2 - 29*z. Let p be x(12). What is the nearest to 7 in -2\/3, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2632 + -4409. Let a = 1728.032 + q. Let o = a - -49. What is o rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*q - 16, -5*q - 12 = -5*x - 2. Let a(k) = -15*k**2 - 8*k + 5. Let w be a(4). Let s = w - -262. Sort s, -4, -3, x.\nAnswer: s, -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808468 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 8*f - 5. Let j be w(6). Suppose 4*r - 19 + j = 0. Which is the second smallest value? (a) r (b) 2\/5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a2b6 (base 12) in base 4?\nAnswer: 1111110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/13 - 3007552*f\/13 + 231350 = 0. Calculate f.\nAnswer: 1, 1503775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -372021 (base 9) in base 3?\nAnswer: -102102000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o - 13. Let s(z) = -z + 3. Let a = 15 - 13. Let b(i) = a*w(i) + 9*s(i). Give b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b**2 + 2*b**2 + 33*b**2)*(3 + 0 + 1)*(0 - 2 + 3) to g + d*b**2 + u*b and give d.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*l*o**4 + 340*l*o**3 + 1261*l*o**2 + 33*l*o + l + o**2 - 2*o wrt o.\nAnswer: -3096*l*o + 2040*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6540522 is divided by 18581?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8694*w + 8694*w + 213*w**3.\nAnswer: 213*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 + 4*f - 2. Let g(a) = -10*a**2 + 13*a - 7. Let q(m) = 2*g(m) - 7*o(m). Let u be q(4). Suppose 3*c + c = u. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 13*n + 4*w + 2 = 0, -n - 16 = -3*w for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/11 - (-8)\/(-66). What is the smallest value in -4, -1\/4, d, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -184?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - (7 - 6 - (4 + -5)) - -12?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 8*o**2 - 5*o + 3. Suppose -2*m - 15 = 5*p, -p = 4*p + m + 15. Let z(h) = -8*h - 9. Let t be z(p). Let j be (-99)\/t - (-2)\/(-5). Give y(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166752?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*u - 11*u - 715. Calculate the remainder when 389 is divided by u.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q - 879557 + 879557.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 10116\/461?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + y - 440, -4*s = 3*y - 2*y - 882. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 5396*w**3 - 2164736*w**2 + 271787920*w.\nAnswer: -4*w*(w - 745)*(w - 302)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*f + f = 29, 2*f = b + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1407315*n - 448*n**2 + 1407315*n - 6*n**3 + 1 to j + q*n + w*n**3 + u*n**2 and give u.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 + 75*b - 70 = 0. Calculate b.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*n - 294 + 310 = -n, 0 = 2*h - 4*n - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from igjixgiigixjgiir?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1020780*q**2*y + q**2 + 839738*q with respect to y.\nAnswer: 1020780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8997 + -98965\/11. Factor -2\/11*k**2 + 4\/11*k - r.\nAnswer: -2*(k - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52824, 61448, 70070, 78690, 87308, 95924?\n\"Answer: -z**2 + 8627*z + 44198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -49 - 26. Let i be 4\/a*30\/12. What is the third biggest value in -2\/11, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 64 = -24. Suppose q*w - 5*w + 45 = 0. Let x = 19 + w. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from ygyygyyvvvgvyy?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 2 (c) 35.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -25*r + 96. Give w(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 - (-2 + -21 - (-10 - -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 154*a + 894. Let f be q(6). Solve 0 = -5*g - h - 24, 4*g - 14 = f*g - 4*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o - 2. Let z be j(2). Let h(x) = -10*x**3 + 2 + 9*x**3 + 5*x**2 + 5*x - 4*x + 0. What is the remainder when h(z) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 16. Let c be k(-10). Let m be 7 + (-5 + 1)\/c. Solve -m*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from xrdxrrnyrrydln.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifnfxixm. What is prob of sequence miif?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 174841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1451 - -7258\/5. Suppose 0 = p - 4*p - 12. What is the smallest value in p, 1\/3, x, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9742, -19563, -29420, -39301, -49194, -59087, -68968, -78825?\n\"Answer: 2*a**3 - 30*a**2 - 9745*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -402*g + 3899 + 5347 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**2 - 2*j. Let x(h) = -7*h**3 - 6*h**2 - 19*h + 2. Give 6*s(n) + x(n).\nAnswer: -n**3 - 31*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 3087.\nAnswer: 33957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let s = -1 - -4. Suppose 0 = r + 5*k + 5 + 12, -4*r = 5*k + 8. Let n(b) = -6*b - 2*b + s*b + r*b. Give -3*m(c) + n(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**5\/80 + p**4\/8 + 3*p**3\/8 + 10*p**2. Determine h so that n(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 31899720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145482132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -323100 (base 5) in base 12?\nAnswer: -6469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/5? (a) 1\/11 (b) 0.2 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 - 218?\nAnswer: -23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-5*2*sqrt(170) - sqrt(170)) + 1*sqrt(170)*-4)*6)\/(1*(sqrt(1210) + 1*((sqrt(1210) - (2*sqrt(1210) - sqrt(1210))) + sqrt(1210)))))**2.\nAnswer: 34425\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3018 + 3021. Sort 40, c, -7, 0.\nAnswer: -7, 0, c, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x - 4. Let q(g) = -8*g + 5. Suppose -7*a + 47 = 2*s + 81, -4*s - a - 16 = 0. Calculate s*j(z) - 2*q(z).\nAnswer: -5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -29 - (3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0*y = -25, 0 = v + 2*y - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 17. What is the least common multiple of x and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*n - 4*m, -2*m = -4*n + 34 - 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 0*d - 17\/4*d**4 + 6*d**2 + 0*d**3 - 2. Find the second derivative of b(s) wrt s.\nAnswer: -102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 4 + 0\/2. Let w be (2 + (-1 - 2))*d. Let v(m) be the second derivative of -7*m**3\/6 - m**2\/2 + 2*m. Determine v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2071, 4140, 6195, 8230, 10239, 12216?\n\"Answer: -l**3 - l**2 + 2079*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.058832962 and -4.\nAnswer: -0.235331848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*z - 34*z + 400. Let v be (z\/(-6))\/((-4)\/(-144)*2). Let b = -156 + v. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*f + 106*f + 178*f to c + k*f and give k.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20979\/964 + -3\/241. Let s be (74\/(-12))\/((-20)\/66). Let i = s - j. Calculate the common denominator of i and -40\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, b: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2429\/2272 - 229\/71. Calculate the common denominator of f and 3\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhr when three letters picked without replacement from rrnnhj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*h - 3. Suppose -4*l = -h*l. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107004071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264.72 + 264.7. What is the closest to v in 1, 2, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 d when four letters picked without replacement from jyjdjjdjjjjjjdj?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*q = 170, -5*y + 28 + 162 = 2*q. Suppose 5*k - y = 160. What is the greatest common factor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3172017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 1 = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/3600 and 3\/80*(-125239)\/121635?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1818, -1479, -1138, -795, -450?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 - 6*i + 2. Let y be t(4). Suppose 2*p - 5*q = 10, 4 = 2*p + 3*q + y. Is 2 a factor of (1 - (-6)\/(-3))*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 13. What is the remainder when 23 is divided by q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10001101110000101011000?\nAnswer: 10001101110000101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1164059*g**2 + 66*g - 413. Let d be v(-11). Round d to the nearest one million.\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 48. Suppose -21*r + m*r = -65. Let k = r + -60. Solve k + 7 = 4*n + 5*p, -4*n - 28 = -5*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/192 and -21\/40?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -33. Let v(s) = s**3 + 3*s**2 + 3*s. Let m be v(j). Put m, -5, 2 in descending order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 8. Let z(o) = 1. Give 2*g(q) + 18*z(q).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.98. Let h = 0.42 + y. Suppose -133*v + 114*v = 38. Which is the second smallest value? (a) h (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17170.199976 + 17168.2. Let d = -2 - m. What is d rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/(-189)*(-1 - -7). Let s be (-10)\/r - 1*(3 + -17). Solve 0 = -2*b + s*b - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 16*r - 46. Let i be b(12). What is the second derivative of 5*q + 0*q**i + 4*q + 25*q - 10*q**2 wrt q?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 72 = -7*i. Let z be 39510\/i + 9\/12. Let h = z + 454. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(27)*-2 + 3.\nAnswer: -2*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -594215\nAnswer: -5942.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -838 + 2955. Does 73 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 2, i: 2, z: 2, a: 1, j: 5}. Give prob of sequence jezs.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b = -6 - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66104\/5 - -13221. Which is the second smallest value? (a) o (b) -3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 214 + 10*x - 9*x.\nAnswer: x + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*n - 5. Let x be 70\/15 + (-1)\/n. Let p(b) = 81 - x*b - 80 + b**2 - b. What is p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:46 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 174*((1*-2)\/(-14))\/(32\/112). Calculate the highest common divisor of 1653 and l.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-11 + 29 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*f - 21*f - 12243 = 0 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t**2 - 2584*t + 21250. What is y(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*a + 22*a + 16. Suppose -a*o = -635 + 209. Calculate the remainder when o is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -56*f - 1826. What is p(-27)?\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 5*u**2 + 2*u**2 + 8*u**2. Let a(l) be the third derivative of l**5\/60 - 4*l**2. What is a(x(q))?\nAnswer: 100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 7*v = -25, -8*v = -5*k - 7*v - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c - 2*c + 2*c)*(0 - 1 + 3) + 3*c - 4*c + 0*c)*(37*c + 3*c**2 - 7*c**2 + 1 - 39*c).\nAnswer: -4*c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 26928.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105871317, 105871319, 105871323, 105871329, 105871337, 105871347, 105871359?\nAnswer: 105871373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g - 57. Let l(j) = 2*j - 10. Let t(q) = -34*l(q) + 6*r(q). Determine t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 42003780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1062*q + 15. Let c(g) = -249571*g + 3530. Determine -3*c(h) + 706*l(h).\nAnswer: -1059*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, 1 w, and 1 f when four letters picked without replacement from xofaxwxoxf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 16, x: 4}. What is prob of picking 3 x?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7*x = -4*d + 1, -11 = -5*d + 3*x. Let f(r) = 4*r**3 - 9*r**2 - 5*r - 1. Let k(t) = 3*t**3 - 8*t**2 - 4*t - 1. Calculate d*f(h) - 5*k(h).\nAnswer: h**3 + 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 346*i + 161*i + 153*i to the form b + o*i and give o.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222290 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 12*h + 155. Give m(-7).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 7*i + 12*i)*(-6*i + 9 - 9 + (2 - 1 + 1)*(-i + 4*i - i)) + (-i - i + i)*(i + 2*i - 2*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/5)\/n*n*n)\/n)**(-18)*(n\/((n**(-3)\/n)\/n))\/((n\/(n*n**(-2\/9))*n)\/n) assuming n is positive.\nAnswer: n**(-388\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 3, 24, 45, 66, 87?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 4. Let r(m) = m**2 + m. Let q(y) = -k(y) - 4*r(y). Determine q(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -94*w - 3. Let u(t) = -650*t - 20. Let d(c) = 20*g(c) - 3*u(c). Let k(f) = -7*f. Give d(k(o)).\nAnswer: -490*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74892530.\nAnswer: 2, 5, 7489253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 + 3*f**3 - 9*f**3 - 3*f**2 to b*f + v*f**3 + u + z*f**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11376.09 millilitres?\nAnswer: 11.37609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f = -38*f - 30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 7*j - 3. Let d be ((-12)\/10)\/(2\/(-5)). Let k be d*(3 + -1) + 2. Is 4 a factor of u(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215443 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 47 = -3*n, -2*i + 2*n = i - 32. Let x(r) = r**3 + 9*r**2 + 7*r - 4. Let u be x(-8). Calculate the greatest common divisor of i and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 19*s - 5 + 1\/3*s**3 - 13\/2*s**2. What are the prime factors of o(13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.57 + 1.97. Which is the smallest value? (a) -0.2 (b) -1\/4 (c) i (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237 - -244. Let k(x) = 4*x - 8*x - 7*x + f*x + x**2. Let c(n) = n**3 - 3*n**2 + 2*n - 1. Let l be c(3). Give k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) -4 (c) -2.7 (d) 3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 66 = 5*u. What is the greatest common factor of 44 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 12*z - 21*z + 5 + 10*z. Let g(f) = -f**2 - 9*f - 13. Let k be g(-8). Calculate o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 131, 227, 403, 653, 971?\n\"Answer: -j**3 + 46*j**2 - 35*j + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37.965 - -0.035. Let l = r + -37.99966. What is l rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724250 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**2 + 100*o - 500 = 0. What is o?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from xzzypazzyzzaayzppy?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16531312 and 11808080?\nAnswer: 82656560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 8423, 0.1, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138512*o**3 - 234952*o wrt o?\nAnswer: 831072*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + 0 + -62 + (1 - -47 - 34)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i*i*i*i**(-2\/7)*i))*i*i**3*i*i**8*(i*i**6*i)\/i*i*i assuming i is positive.\nAnswer: i**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 36636 divided by 7\nAnswer: 36636\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 33. List the prime factors of (2 + 19)*3 - z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*m + 5*m**3 - 58*m.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2059, 2261, 2809, 3877, 5639, 8269?\nAnswer: 11941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 58*p**2 - 4339*p + 176. Determine i(-43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43273*q**5 + 22950*q**2 wrt q?\nAnswer: 2596380*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6050599 litres?\nAnswer: 605.0599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtr when four letters picked without replacement from jjtjjjjjjjtrtjjtbxx.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:28 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 390 = -6*z. Let r = -118 - z. Let q be (-3)\/2*r\/30. Solve 0*s + q*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 - 2*j. Let g(t) = -6*t**2 + 2*t. What is 5*f(c) + 4*g(c)?\nAnswer: 6*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (sqrt(1872) + 3 - sqrt(1872)) + sqrt(13) + sqrt(13).\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-53)\/(-4) - 12\/48. Let t(x) = 12 + 35*x + 4*x - o. What is the units digit of t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5 = -3*f, -14 = 5*f + 3*v - 25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 3*a = 4*g - 7, 2*a = -g - 6. Suppose 3*k - g = -7. Sort -5, k, 3, -3 in increasing order.\nAnswer: -5, -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.4 - -10.4. Let a = -0.7 + 4.7. Sort a, p, -2\/7.\nAnswer: p, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-20)*(-2 + (-18)\/(-10))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -142972346*t**2. Let b(o) = -o**2. Give b(f(c)).\nAnswer: -20441091720743716*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 1 + -4 + (-2)\/(-14). Let q = -0.038 - -3.038. Which is the smallest value? (a) -1 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 590\/(-236)*(-4)\/6*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6*p + 33882109*p**2 + 4*p - 33882332*p**2 - 1.\nAnswer: -223*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d - 137 = a - 246, 0 = d - 3*a + 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.08855 times 0.3\nAnswer: -0.326565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) 5 (c) 1 (d) -1 (e) 11.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76799241 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15284 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztdz when four letters picked without replacement from dtzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102549677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.3. What is the nearest to 0.1 in 0.4, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -26*k**2 + 65*k - 6. Let r(l) = -13*l**2 + 30*l - 3. Give -6*j(i) + 13*r(i).\nAnswer: -13*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from kkwww.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165 - -165. Suppose 4*j = 4*m - 456, -4*j - 2 - 2 = x. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 4*z**3 + 2*z**3 + (-29*z**2 + 118 - 118)*(158 - 158 - 4*z) - 2 + 2 - z**3.\nAnswer: 114*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, g: 4, l: 6, s: 5}. Give prob of picking 3 k.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 222?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {m: 6, w: 4, o: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 159\/12098 (b) -1\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -3. Suppose 2*j + 5*v - 79 = -0*v, -j = -d*v - 20. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -0.36, -0.0736, -1, 207?\nAnswer: -0.0736","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 153 = k, -5*b = k - 4*k + 255. Let u = b - -308. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 2260 + 1038 = -1062 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 61077, -1\/4 in decreasing order.\nAnswer: 61077, 3\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - 3*r + 5*r - 2*r + 0*r + 0*r - 2*r + r + 0*r + (r - 2*r + 2*r)*(0 - 2 + 1) + r + 4*r - 6*r + (1272 - 268 - 475)*(17 + 15*r - 17).\nAnswer: 7932*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 7:02 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 53. Let f be r(-22). Solve f = x - 3*s - s, -2*x = s + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -18. Suppose 3*f = -2*d - 0*f + 110, b*d + 3*f = 284. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1757009\/135 + -13015. Let n = f - 2099\/135. Which is smaller: n or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = a + a - 4, 0 = 4*f - 8. Suppose 6 = t + a. Suppose 4*r - 54 = -4*z + 2*z, t*r - 48 = z. What is the remainder when 44 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 14 = -2*o, 5*o - 35 = h + h. Suppose 4*k - q = -8, 4*q = -3*k - 0*q + 13. List the prime factors of o - ((1 - 0) + k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*h + 2*h + 16*h)*(5*h + 1 - 1)*(3*h - 2*h**2 - 3*h) to y*h + u*h**4 + m + f*h**2 + t*h**3 and give u.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 7. Suppose 5 - 25 = -5*k. Let a(q) = 1335*q**2 - 6 - 1337*q**2 - 2 + 2. Determine k*a(z) - 3*d(z).\nAnswer: -2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 73, 46, 15, -20?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1115*z - 596 = 998*z - 2262*z. Let -2*g + 3\/2*g**3 + 0*g**2 + 0 + 1\/2*g**z = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -d - 129. Let q = d - -760. Suppose -1138 = -7*c + q. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:01 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = 0, 3*b + 13 = 2*g - 7. Let d be 2\/(g\/((-480)\/(-4))). Suppose 5*t = 5*v - d, -5*t = 5*v - t - 60. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 76, 74, 72, 70, 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 + 6798*n**4 - 41312*n wrt n.\nAnswer: 20*n**3 + 81576*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/16)\/((-3)\/((-3)\/2)). Sort -3, 0.15, -1, z in descending order.\nAnswer: 0.15, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -78.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 25*j + 89. Give s(12).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52702963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - y**2 + 35*y + 5. Let w be v(0). Calculate the highest common factor of w and 2645.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 5*n - 22. Let f = -29 + n. Suppose -14*c + 44 = -f*c. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263128114?\nAnswer: 2, 5981, 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 10. Which is the biggest value? (a) v (b) 1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1809360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -3 + -2)*6. Let n be (-220)\/p + 2\/6. Does 10 divide n\/2*2 - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 10, k - q = 6*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 4) in base 12?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 44 - 10444*u**3 - 127.\nAnswer: -10444*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 + -62 + 164 + -3 and 10?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.065671667 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 129, 131?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -1\/3, -2\/9, -1\/4, -0.09, -4\/11?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13444997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454056837.\nAnswer: 3, 13, 41, 443, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306 a factor of 85098960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 3*a - 3. Suppose 4*j - 7 = -19. Let o be d(j). What is the tens digit of 58\/3*o\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 251336700 to the nearest one hundred thousand.\nAnswer: 251300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 18. Let i be f(-12). Is (9\/i - -2)*34 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135295 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656 - 11566 = -144*s + 1394 + 3952 for s.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/29050120 and 97\/1236.\nAnswer: 87150360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1. Let b(d) = 2*d + 6. Calculate -b(t) - 8*v(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 2, f: 2, g: 6, e: 3, v: 2}. Give prob of picking 1 f and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -921*k - 840. Calculate i(-2).\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/108198 and 47\/84154?\nAnswer: 757386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 2*z + 2. Let f(v) = -2*v**2 + 6*v + 1. Let l(n) = -4*n**2 + 13*n. Let q(u) = 5*f(u) - 2*l(u). Determine 3*q(r) - 7*t(r).\nAnswer: r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 3*c. Suppose 4*h + 20 = 4*t, 4*t - 20 = 3*h - 2. Let l(n) = 18*n - 3*n**2 + 2*n**2 + n**3 - 1 - 17*n. What is h*l(w) + m(w)?\nAnswer: -2*w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)\/(4\/(-8)). Let p be 1\/g*(-5 - -205). Suppose -3*k + 11 = -p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 25*a + 3. Let u be q(0). Solve -6*o - u = 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l + 171. What is f(-22)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -882 + 480 - 574*q**2 + 405 as b*q + z*q**2 + n and give z.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 112.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 28 = 5*b. Solve -4*k - b - 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = -y + 5*b, y - 5*b - 40 = 0. Find the second derivative of 30*x + y*x**4 - 65*x + 24*x wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 18458*j + 37579*j.\nAnswer: 19121*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 4. Give z(15).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = -2. Let v(c) be the third derivative of c**4\/12 - 3*c**3\/2 - c**2 - 49*c. Let q be v(p). Is q smaller than -0.033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 148*u + 1038 - 781 - 3661 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 + -0.4. Let f = -31 - -30.9. Let j be 0 + 2 - 24\/15. Which is the closest to f? (a) 1\/6 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 17. Suppose -o + 13 = -i, 5*o - b*i + 2*i - 63 = 0. Solve -k + 3 = 2*v + 11, 4*k + o = -4*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*y - 57 = -y, 3*o = y + 41. Is 14 a factor of (-8)\/(-10)*245\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**3 - 5*o**2 - 2*o + 2. Let j(g) = 4*g**3 + 3*g**2 + g - 1. Let n = -39 + 34. Let f(a) = n*j(a) - 3*h(a). Let c = 115 - 114. Determine f(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*37232\nAnswer: 7446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:00 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y - 11. Let j = -17 + 7. Is z(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*m + 17 = 340*m - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1957 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -4 + 2 - 3) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25456 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219 - 67 + 92)*(0 + 2 - 3)*(j**5 + 3*j**3 - 3*j**3).\nAnswer: -244*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**10)\/(c**(-5\/3)*c))\/(c**(-4\/7))**(6\/5) assuming c is positive.\nAnswer: c**(-803\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9514851nm to kilometers.\nAnswer: 0.0000000000009514851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -101111?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17479, -34895, -52309, -69721, -87131?\nAnswer: -104539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**4 - 1695*j**3 + 8285*j**2 + 21675*j + 11690 = 0?\nAnswer: -1, 7, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10395722 and 7358?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p - 125 = -63*p. Suppose -2*v - 2*x + 14 = 0, -3*v + 4*x - p = -6*v. Suppose -4*t = -3*d - 77, -t - v*d + 2*d + 28 = 0. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12 - 21*d + 22*d - 21 + 8. Let m(q) = 2*q**2 + 6*q - 4. Suppose 3*w - 3 = -3*l, -4*w + 0 = 3*l - 3. Determine l*m(j) - 4*z(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -268 + 140?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 13*m**2 - 23*m - 26. Determine i(-15).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 1 - 4)*(-2*m**3 + 3*m**3 + m**3) - 1 - 3*m**3 + 1.\nAnswer: -59*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2494367073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 0.5 (b) 4 (c) 417\/2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122001 - 120110?\nAnswer: -1012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 41. Let q(f) = 11*f + 1. Let p be q(-1). Let w be 1\/((-12)\/p - 1). Put w, -2, v in descending order.\nAnswer: w, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -5*b**3\/3 - b**2 + b. Let c be h(-3). Suppose u - 5*u = -c. Calculate the remainder when 19 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 90, 66, 32, -12, -66?\n\"Answer: -5*a**2 - 9*a + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55\/6 - 173\/18. Sort 2, 0.4, m in ascending order.\nAnswer: m, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4\/2 - 21*k**3 + 45*k**2\/2 = 0. What is k?\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.1 - 80.1. Which is smaller: t or 97?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 99926 + -2?\nAnswer: 99924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2058 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5 + 5. Suppose -24*o + 37 = -35. Factor 1\/3*q**g + 1\/3*q**o - 4\/3*q - 4\/3.\nAnswer: (q - 2)*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 o when three letters picked without replacement from {g: 1, f: 4, r: 1, c: 2, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1\/2 (c) -1\/5 (d) -0.1 (e) -480\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (209\/38)\/((330\/(-12))\/11)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7533870 is divided by 192.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41719, 166686, 374965, 666556, 1041459, 1499674, 2041201?\n\"Answer: 41656*y**2 - y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + 21 + -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3144*a**2 - 77 - 19*a + 6284*a**2 + 77 - 3145*a**2.\nAnswer: -5*a**2 - 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 + 974*o - 498*o - 476*o. Let l(m) = -102*m**2. Calculate l(x(k)).\nAnswer: -918*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 25*h - 171. Let v be i(7). Solve -2*f = v - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001000110101110 (base 2) in base 12?\nAnswer: b343a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252712118 divided by -3827.\nAnswer: -66034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 33\/5 (c) 1\/7 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -k, 4*y = 5*k - 3 + 19. Solve k = 2*l - 2*f, 0*l = -2*l - 2*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*r, -5 = -4*y - 2*r + 15. Suppose -q + 1 = 3, -y*v - q = -18. What is the greatest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(704) + -3 - ((sqrt(88) + -2*sqrt(88))*-3)\/((sqrt(160)\/sqrt(4))\/sqrt(5)))*5)**2.\nAnswer: -1000*sqrt(11) + 7275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*s + 48*s + 326*s + 203*s.\nAnswer: 635*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5686 - -2466. Is v equal to -3221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 7:20 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -23*f - 4. Let c(s) = -8*s + 1. Let o(v) = 4*c(v) + n(v). Let q(r) = 4*r. Determine q(o(y)).\nAnswer: -220*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3839.\nAnswer: 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8469*b + 143980. Calculate t(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -3.9. Let m = 1062 + -1061. Put -2, a, m, -2\/11 in ascending order.\nAnswer: a, -2, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084068216 to the power of 1\/2, to the nearest integer?\nAnswer: 32925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -411003, 1, 24 in ascending order.\nAnswer: -411003, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2240 and 9180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 - 66*m**2 + 60*m + 282. List the prime factors of t(-39).\nAnswer: 3, 25171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212 - 216. Let p be 10\/55 + (-57)\/11. List the prime factors of (p + 2 + -1)\/(r\/102).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 362447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 23*l = -52 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -229, -361, -493, -625, -757?\n\"Answer: -132*c - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.3, 1\/4, 0, -143\/28, -49?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*r - 585, 9*w - 215 = 7*w + 5*r. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 6*i + 5. Let p be r(-2). Which is smaller: 8\/15 or p?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - -2) + (-7 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 589 = 469. Solve -b*p - 9 = 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - ((144 - 94) + -6 + 10)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**3 + 5*m**2 + 3*m + 4. Let f be t(-3). Suppose z + k = -113, -3*k - 106 = z + 3. Let c = f + z. 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: Let z(i) = -4*i**2 - 5. Let x(n) = 74*n - 7*n**2 - 26*n - 22*n - 26*n. Determine z(x(q)).\nAnswer: -196*q**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 1, -0.72, -0.4 in ascending order.\nAnswer: -0.72, -0.4, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + -4 + sqrt(35)\/sqrt(5) + -3*(sqrt(7)*6)**2 + -3.\nAnswer: -765 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {r: 2, u: 4, i: 3, k: 6, s: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - c - 3. Let h(g) = -g**2 - 1. Let b(p) = -3*h(p) + u(p). Let x be b(0). Let l(w) = 2*w + 6 + 5 - 4 - w. Calculate l(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13203.5 + 13203. What is the second biggest value in 0.4, a, -140?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07058907748 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19\/11186?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5366, -9424, -13482, -17540?\nAnswer: -21598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2736) + sqrt(2299) + 0 + -1 - (2*((sqrt(19) - -2*sqrt(931)) + sqrt(19))*2)**2.\nAnswer: -77826 + 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6426 divided by -2142\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 7*w + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 + 197. Solve 5*v + 11 + d = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, d: 7, l: 4}. Give prob of sequence hdh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-15)\/20)\/1)\/(3 - (-165)\/88). What is the closest to -6 in -0.04, 0, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213763045?\nAnswer: 5, 53, 211, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -4209?\nAnswer: 4209.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 7) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -u + 4*u. What is the common denominator of 17\/8 and (-553)\/(-168) - 3\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -224*s**4 + s**2*z**2 - s*z**2 - 1431*z**2 + 2 wrt s.\nAnswer: -896*s**3 + 2*s*z**2 - z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21825100*q**4 + 14294912 wrt q?\nAnswer: -87300400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10387 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**2*n)\/(n\/n**(1\/3))*n*n**8*n*n**0*n*n*n**8\/(n**0*n)*(n**(2\/7)*n)**(-8) assuming n is positive.\nAnswer: n**(169\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 3784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 882707\/146 + -6046. Is j <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*g - 18, 16 = -0*t + 2*t - 4*g. Suppose -t*m + 2 = -10. What is the units digit of (m\/(-6))\/((-2)\/40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1368, 3, 7\/2, 26, 6 in increasing order.\nAnswer: -0.3, 3, 7\/2, 6, 26, 1368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16431 divided by -1842?\nAnswer: 5477\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 53, -2\/25, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -74*g - 2*g**2 + 74*g + g**2. Let k(f) = 6*f. What is y(k(j))?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/14*(4 + -11). What is the remainder when 29 is divided by 2\/1 + 8 + z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -170*b + 2. What is the hundreds digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/15 and -95\/23158194?\nAnswer: 115790970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03154 + -61.34846. Round h to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/11 - 4) + (-2)\/11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p**2 - 2*p - 3. Suppose a = -a + 10, 0 = 5*b + 4*a - 5. Let z be u(b). Let t = -13 + z. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/30 + 2*x**4\/3 + 11*x**3 + 111*x**2. Factor n(i).\nAnswer: -2*(i - 11)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 3*u + 1. Let l(d) = -d**2 + 4*d - 1. Let m(y) = 4*g(y) + 3*l(y). Let q(s) = 2*s**2 + 2*s + 4. Calculate 4*m(v) - q(v).\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52689?\nAnswer: 3, 7, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1396 and -0.216?\nAnswer: -301.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*a + 3696 = -21*a - 21847 + 4608 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (200\/(-160))\/(-10*6\/(-1440))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28384902 and 191646.\nAnswer: 255464118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -102157*r - 61754?\nAnswer: -102157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyffffyffyf. Give prob of picking 2 f.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138.42 + 138. Let y = 0.48 - -0.01. Let t = y + z. Put t, 1\/7, -0.4 in descending order.\nAnswer: 1\/7, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 8, -39, -114, -217, -348?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6748 - 20245\/3. Sort 0.95, 5, v in increasing order.\nAnswer: v, 0.95, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1598 is divided by 1269?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oohooohooooooooooooh. What is prob of sequence oo?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let i(p) be the third derivative of 0*p + 0*p**4 + 1\/30*p**5 + 0*p**3 + p**2 + 0. Give y(i(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1542, 5231, 11362, 19923, 30902, 44287, 60066, 78227?\nAnswer: 98758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7962887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 3*l**2 + l**2 + (-980*l - 46*l - 585*l)*(l + 0 + 0) to s*l + f*l**2 + k and give f.\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.42714669 rounded to 3 decimal places?\nAnswer: -173.427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51\/7 - -575\/77. Let h = 239.2 + -239. What is the biggest value in -5, -1\/8, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 656500 to the nearest 10000.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17 - (22\/(-18) - 6\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 10*x + 4. Let o(f) = -2*f - 10. Let u be o(-6). Suppose -3*k + 8 - u = 0. Let s(t) = t**2 - 3*t - 1. Calculate k*p(c) + 7*s(c).\nAnswer: -c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -17, -18, -19, -20, -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -260)*(24\/(-8) - -4). Calculate the highest common factor of u and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218728012 is divided by 43745600.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -912294*i**2 - 895374.\nAnswer: -1824588*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 88*g**2 + 75*g + 856. What is the thousands digit of x(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -18. Suppose 2*x - 8 = -g, -n*g + 12 = 2*x - 5*g. Suppose x*h - 15 = 0, -i + 2*h + 13 = -0*i. Calculate the highest common divisor of 57 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-68)\/12)\/(1\/(-3)). Suppose 392 = -13*j + y*j. Let b = j + -13. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -19 + 58. Suppose -4*c = -3*b + i, 5*b + 0*b - 3*c - 54 = 0. Solve 0 = -3*d - 0*d + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y - 47*y - 17 + 93*y + 17.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4458105 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522770 divided by 504554?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 3 = 0. Suppose 0 = 3*r - 4*m - 37, -c*m + 2 - 5 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -610 divided by -11?\nAnswer: 610\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/((15\/12)\/(-5)). Let u = n - -33. Let g = u - 8. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -3.3. Let p be 34\/17*(-1)\/6. Which is the second biggest value? (a) -2 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11504*q + 89 - 23014*q + 11505*q. Determine p(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 39714*l**2 - 197170080*l - 197130368.\nAnswer: -2*(l + 1)*(l + 9928)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u - 2*u = 14245. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 > 13\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2 - 65300*q + 65296 = 0.\nAnswer: 1, 16324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000130096 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**7\/2520 + 23*l**5\/30 + 5*l**2. Let q(p) be the third derivative of w(p). Let x(s) = -36*s**2. What is q(x(u))?\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-19)*(q*q\/((q*q**(-2\/11)*q)\/q*q)*q*q*q*q*q)**(-2\/23) assuming q is positive.\nAnswer: q**(4693\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f**3 + 9*f**3 - 9*f**3)*(2*f**2 + 39 - 57 - 15) - 4*f**5 + 2*f**5 + 0*f**5.\nAnswer: -22*f**5 + 330*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h + 768 = -5*h - 6*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 3:23 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 606.\nAnswer: 6666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 57 - 9. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2*sqrt(133))\/sqrt(7) + sqrt(19))**2 - ((sqrt(209) + 3*sqrt(209))\/sqrt(11))**2*-2) + 4.\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-30))\/((-2)\/(-6)). Let v = 45 + -114. What is the tens digit of v\/f + 1 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 20 = 3*z. Suppose 447 = -z*p + m, -3*m = 2*p - p + 99. Let r = -52 - p. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(832) - sqrt(832)*-1) + 0 - sqrt(832) - (-2 + sqrt(832) + -1)**2).\nAnswer: -843 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 239831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85122, -336171, -753150, -1336059, -2084898?\nAnswer: -2999667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:57 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j - 19. Suppose -14*c + 88 + 152 = -34*c. Determine n(c).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/713650 and 187\/3150?\nAnswer: 6422850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -2022612?\nAnswer: -2022611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/506 and -11\/1702.\nAnswer: 18722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*s = -140 - 13, 0 = 5*b - s + 165. Let c be ((-34)\/(-8))\/(8\/b). Let m = c + 34. Calculate the greatest common divisor of 119 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -5*-3*(-3*sqrt(720) + sqrt(720)) + 0)**2.\nAnswer: -7200*sqrt(5) + 3240020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*l**3*q - 2*l**3 - 8*l**2 + 8*l + 2*q wrt l.\nAnswer: 906*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.43 (b) -4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 5 (b) 2\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*q + (2*q + 2*q - 6*q)*(-9 - 3 + 23))*(2*q - 2*q + 9*q).\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(45) + -5 - sqrt(50)\/(sqrt(40)\/sqrt(4))*5) + ((-3*sqrt(10)*-3)\/((sqrt(6)*3)\/sqrt(3)))**2.\nAnswer: -2*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f**2 - 23*f**2 + 85*f**2 - 30*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*b - 50. Let f = b + 23. Suppose 0 = 6*j - f*j - 3. Solve -5*h + j + 16 = 4*z, 3*h - 18 = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n - 36*n + 18*n)*(-12 - 12 + 31).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (0 - 3) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.89 - 9. Let x = d + -0.33. What is x rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(48))**2 - ((sqrt(24)\/sqrt(2)*6)**2 - sqrt(12)).\nAnswer: -144 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2820\/7 - 403. What is the fourth smallest value in -2\/25, -1\/2, -1\/6, a?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:49 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/9 (c) -6 (d) -4\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.2. Let j = 3.27 - 141.27. Let l = 139 + j. What is the nearest to 0 in -1\/3, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 4, b: 2, u: 1, x: 2, q: 1}. What is prob of sequence uqkk?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2979, 5954, 8929?\nAnswer: 11904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -751. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17656, -33872, -50100, -66346, -82616, -98916?\nAnswer: -115252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 77. Let g = 91902 - 91900. Solve 4*d - g*d = -5*s + c, -5*d = -3*s + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67.17 + -19.17. What is the biggest value in j, -2\/7, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n*p + 792*n - 510*p wrt p.\nAnswer: -n - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 3\/4, 85, -1, 33, 0.02 in ascending order.\nAnswer: -1, 0.02, 3\/4, 4, 8, 33, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/5 + (-60)\/(-9) + (-242)\/(-24) + -12?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 2*s + 0*s - 9*s + 17*s + 10 to the form p*s + d*s**2 + k and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-1)**2 + 3 + (0 + sqrt(252))**2.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16197317 or -16197316?\nAnswer: -16197316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10 - 2*c - 2 + 18 + 4*c. Let x(d) = -2*d**2. Calculate x(n(t)).\nAnswer: -8*t**2 - 208*t - 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23007659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2523*k - 15176. What is g(6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-9)*-1)\/(1\/(-3)). Let a be 83 - (k + (-2)\/(1 - 2)). Suppose 5*s - a = 63. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, 4, -4 in decreasing order.\nAnswer: 5, 4, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x**(-1\/6)\/x)\/x*x*x**6*x*x*x*x*x*x\/x**(4\/5)*x*x*x**9\/x*x*x assuming x is positive.\nAnswer: x**(751\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -299*z**5 + 139*z.\nAnswer: -5980*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 15, -2, 2 in increasing order.\nAnswer: -7, -2, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9322112*o**2 - 1996892 wrt o.\nAnswer: -18644224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 + (-1950)\/12)\/(3\/(-66)).\nAnswer: 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*m**2 - 37644 + 37644 to z*m**2 + v + y*m and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54695\/44 - 1243. Let j = r + 167\/132. Let x = -16 + 15.89. What is the third smallest value in j, x, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68410490 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4290000 to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 144 * 0.7\nAnswer: 100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 1\/20*c**4 - 2*c**2 + 1\/175*c**7 - 1\/75*c**5 + 0 - 1\/150*c**6 - 1\/15*c**3 + 0*c - 1\/840*c**8. Factor q(w).\nAnswer: -2*(w - 1)**4*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*t**4\/3 + 31514*t**3\/3 + 204*t**2 = 0. What is t?\nAnswer: -2\/103, 0, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696017 is divided by 1571?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414 and 3664314.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*q = 893, 4*q - 1340 = -3*d - 0*q. Suppose 0*a - 4*a + d = 0. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 146*t**2\/7 - 148*t\/7.\nAnswer: 2*t*(t - 74)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-80174)\/(-6) + (-84)\/63 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/5 - 4\/(-10). Let t(h) be the first derivative of g + h**2 + 2*h - 1 - 4. Differentiate t(n) with respect to n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 337 = -409 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4))**(4\/13))**(-13) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, 5, -6, 20, -5, -2 in increasing order.\nAnswer: -145, -6, -5, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ieue when four letters picked without replacement from ceiyeccceecuc?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -152, 3, 1, 9, -2, 6 in decreasing order.\nAnswer: 9, 6, 3, 1, -2, -24, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6190368 hours?\nAnswer: 2228532480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 21 (c) 550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 15*f + 16. Let n(h) = 7*h - 2. Let y be n(f). Round y to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -381*a - 13019. Calculate k(-34).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 3*o + 6, -d - 3*o - 641069 = -641079 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(-1*(2 + -2*sqrt(1575))*-6)**2*-1.\nAnswer: -1134717 + 21600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18173.9999963265 + -18174. What is i rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1409 divide 648340078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23638877 is divided by 2214?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*z + 28 = -h, 0 = h + 3*z + 6. Suppose -h*f = -7*f - 36. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100000000011010101?\nAnswer: 100000000011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -528 - -528. Let i = 363\/1295 - -1\/185. What is the smallest value in 2\/17, -0.5, i, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 14 - 4*n**2 - 7 - n**3 + 5*n - 11. Let w be h(-5). What are the prime factors of 28\/w + 1\/1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/(-69) + 1\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*d = 33, -18*h - 2 = -16*h + 2*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 h, and 1 c when three letters picked without replacement from jhpjmmcjijpmmi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -21. Let a be v\/(-21) - (-12)\/42. Let f(l) = -l - 3. Let h be f(-4). Is h >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3 + 48*g**2 - 14*g + 47 wrt g.\nAnswer: 6*g + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16562, -33930, -51312, -68714, -86142?\nAnswer: -103602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 2, b: 3, z: 1, n: 2, r: 9}. Give prob of picking 2 r and 2 m.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**4 - 153388356*z + 123138893.\nAnswer: 4*z**3 - 153388356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - 30*y**2 + y + 12. Let h be n(-10). Solve 0 = h*d + 2*f - 0*f + 14, 5*d - 5*f = -5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 6:58 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-11)\/y)\/y))**45)**23 assuming y is positive.\nAnswer: y**14490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4616954 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1006*n**2 - n - 1852.\nAnswer: 2012*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19801 + -19789. Solve 4*t + 2*m = -l - 4, 0 = -4*t + 2*m - 32 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + b - 49. Suppose 780*g + 10 = 782*g, -g = -v - 5. Determine w(v).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32249.957318 + 2.35.\nAnswer: 32252.307318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -915362.3 to the nearest one hundred.\nAnswer: -915400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 19*k**2 - 6*k - 1. Let q(y) = -20*y**2 + 7*y. Let p(c) = 3*q(c) + 4*w(c). Is 10 a factor of p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v = -21*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**4 + 10*h**3 - 962*h**2 + 950*h = 0.\nAnswer: -25, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8205 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiqiiiiiiiihiiiiii. What is prob of picking 3 i and 1 h?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 203. Let u(f) = 3*f - 196. Give -4*b(o) - 3*u(o).\nAnswer: 3*o - 224","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, c: 1, m: 7, j: 10}. What is prob of picking 2 m?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 12903040?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = 0, -2*r + 4*p = -2 - 0. Let n be (-3 - -2)\/(0 + -1). Let s be -19*(0 - 1)*n. Solve -r = -2*u + 3*b, -4*b - s - 5 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.56 and 41491.39.\nAnswer: 41491.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - t - 22311 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 39. Suppose -2*w - 2*d = -4*w + 10, g*w = d + 17. Is (-11)\/((-55)\/280) + w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d + 1. Let i(y) = -y - 1. Let j(m) = 2*m + 1. Let l(u) = -7*i(u) - 6*j(u). Let n(q) = 6*h(q) - 5*l(q). What is the first derivative of n(x) wrt x?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1037 - 51730?\nAnswer: -50671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 21, -29, 3, -14, -4.\nAnswer: -29, -14, -4, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, l: 1, h: 1, c: 1, q: 4}. Give prob of sequence glc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Suppose q*y + 4*v - 156 = -0*v, 4*v = -3*y + 116. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -28670, 4, -1 in increasing order.\nAnswer: -28670, -1, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 168535267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -10*y**5\/11 + 35*y**4\/22 + 26*y**3\/11 - 19*y**2\/11 + 4*y\/11 + 38. Suppose s(l) = 0. Calculate l.\nAnswer: -1, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 190890623.4 to the nearest one million.\nAnswer: 191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 7*s + 3. Suppose 10 = -2*o - 4. Let n be i(o). Let j(p) = -2*p - 1. Let k(z) = -2*z - 1 + z - z. Calculate n*k(w) - 2*j(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 544, -169, 2, -1 in decreasing order.\nAnswer: 544, 2, -1, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -72. Suppose 0 + 2 = q + 5*f, -5*f = 3*q - c. Solve 3*x - q = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14067*z**3 - 14077*z**3 + 70351*z**3 - 14068*z**3 - 14067*z**3 - 14068*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 54. Suppose 3*d = -4*y - 0*y + 281, -2*d + 184 = y. Let b = -55 + d. What is the greatest common factor of f and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 + 23*y**2 + 391. Let w(x) = -x**3 + 8*x**2 + 131. Let c(z) = -6*a(z) + 17*w(z). What is the first derivative of c(k) wrt k?\nAnswer: 21*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from qqqqaqwqwwqwnqwqaaqq?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -11.2 (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/9 (b) -11 (c) 600 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/112 and 17\/350.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1110220321 - 4?\nAnswer: 1110220312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 1\/3 (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:23 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-3)\/(w**(-1))**15*((w\/(w\/((w**(-2\/7)\/w)\/w)*w)*w)\/w*(w\/(w*w\/w**(3\/5)*w*w)*w)\/w*w)\/(w\/(w\/w**0))**(-4\/3) assuming w is positive.\nAnswer: w**(361\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 + -120. Suppose 6 = 3*d, 0*d - r*d = 2*c - 35124. Suppose h = 7 - 2, 4*j = h + c. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14017 is divided by 1947.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((4*sqrt(77)*-3*1)\/(sqrt(99)\/((sqrt(90) - sqrt(90)*-3)\/sqrt(10))) + 3))**2.\nAnswer: -1152*sqrt(7) + 64548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 1010001000?\nAnswer: 1001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*b - 518 = -112*b. Let i = -245 - b. What are the prime factors of i?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6736019.\nAnswer: 6736019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(1 + (-2)\/6). Let z(p) = p + 2. Let o(i) = -2*i - 6. Suppose 3*w + 21 = -3*c + 6, -4*w = 2*c + 26. What is r*o(s) + w*z(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 + 2.3. What is the biggest value in 1, -0.07, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 81205915.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 41, 118, 233, 386, 577?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*1\/(6\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64467, -128873, -193279, -257685, -322091, -386497?\nAnswer: -450903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1927833764 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 + 6*i - 20. Determine c(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 357908047 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, o: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -30*s**2. Let l(c) = -2*c**2 - c. Determine l(b(z)).\nAnswer: -1800*z**4 + 30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1616 and 59129.\nAnswer: -9555.2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57, -119, -187, -261, -341, -427, -519?\n\"Answer: -3*l**2 - 53*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79873, -160470, -241065, -321658, -402249, -482838, -563425?\nAnswer: -644010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1178*x**2 - 585*x**2 + 5 - 553*x**2 - 3*x**3.\nAnswer: -3*x**3 + 40*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35075 + -32070. Calculate the remainder when t is divided by 73.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {f: 3, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.114869 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w - 2*w**2 - 2\/3*w**3 - 1\/6*w**4 + 0 - 1\/60*w**5. Determine p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -51. Calculate the remainder when s is divided by -1*(0 - (-5)\/5)*-13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8028\/(-5575)*(-10)\/6*10\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23121030 + 3222?\nAnswer: -23111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1202 (base 3) to base 16\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + 14*d**2 - 381 + 6854 - 14*d**2.\nAnswer: 5*d**3 + 6473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3717729*z**2 + 2*z - 180174153?\nAnswer: 7435458*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 181311*j - 181308.\nAnswer: -3*(j + 1)*(j + 60436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3821, 3817, 3813, 3809, 3805?\nAnswer: 3801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -613 + 631. Let j = -623 + 973. Suppose 3*w = -2*w + j. Calculate the remainder when w is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3256 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/(-4)*-1 + (-136)\/(-16) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9627.051 decades in months?\nAnswer: 1155246.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13333, 13364, 13397, 13432, 13469, 13508, 13549?\n\"Answer: h**2 + 28*h + 13304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Suppose -18 = -4*o - a*n, -7 = -4*n + 5. Suppose -18 = -51*y + 49*y. Solve 6 + y = -o*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b**2 - 3. Let x(q) = -13*q**2 + 4. What is 4*j(l) + 3*x(l)?\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.187+-610001131\nAnswer: -610001130.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 + 3)*(4 - 1 - 1) + 3 - 1 + 0)*(-4 + 2 + 5)*(-3*u - 3 + 2 + 5*u)*(-102*u + 62 - 62).\nAnswer: -3672*u**2 + 1836*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z + z + 0*z. Let x be t(2). Suppose p - 3 = -4*f, -2*p + 2*f + 30 = -x*f. 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 fourth biggest value in -0.2, 0.5, -19, 20\/3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198851915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -331*p**7\/14 + 37*p**4\/12 + 1219*p. What is the third derivative of q(g) wrt g?\nAnswer: -59580*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -4850?\nAnswer: 4859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 3*t + 16. Let a be q(3). Solve 0 = a*x - 17*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -509 - -905. Calculate the common denominator of 105\/r - (-4)\/(-22) and -65\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:59 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 775019 = -5*v + r + 2323974, 1239164 = 4*v + 2*r. Let m = v + -7429751\/24. Let q = m - 218. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 + 2*m**2. Let p(k) = 26445*k**3 + 25830*k**2. What is -25830*f(a) + 2*p(a)?\nAnswer: 1230*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-3*v**3 + 2*v**3 + 2*v**3) - 2 + 2 + 2*v**3 + 3*v**3 - 16*v**3 + 6*v**3 - 3 - v**3 + 0*v**3 + 2*v**3.\nAnswer: -5*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -233, -12, 0.08, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 1. Let h = 6 + -14. Calculate the smallest common multiple of 7 and r(h).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.6, -155, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90*h + 124 wrt h?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 4*(-1)\/2. Let k(g) = -g + 1. Let j(i) = i**2 - 10*i - 24. Let v(a) = d*j(a) + 4*k(a). Does 7 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:04 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 277, -8, -5\/3, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 54. Let p be b(15). Let r = p - 63. Let w(n) be the first derivative of -n**2\/2 + 8*n + 2. Give w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 184*m**2 + 17*m - 32. Is o(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*a + 46. Let f be 1*6\/a*-4. Are f and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.220860382 + -0.2793.\nAnswer: -0.058439618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 103. Let r = 5 + -10. Is 5 a factor of 2\/(-5) - g\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4 - 794*k**3 + 2829672*k**2 + 2830464*k = 0.\nAnswer: -1404, -1, 0, 1008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-2))\/(185*(-1)\/(-518)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(620\/(-96))*31\/186\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 723 and -0.01?\nAnswer: 723.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4 + 6164932*j**3 + 24659754*j**2 + 18494820*j = 0.\nAnswer: -3, -1, 0, 3082470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8655\/2 + 267\/534 and 64.\nAnswer: 34624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + -54. Let j = 127 + i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 1. Let b(x) be the third derivative of x**4\/24 - x**3\/6 - 46*x**2. Determine -4*b(j) - p(j).\nAnswer: -3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -911254, -1822510, -2733766, -3645022, -4556278?\n\"Answer: -911256*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 7:43 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*c + 92*c - 3*c**2 - 95*c as z + m*c**2 + b*c and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6765.\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3157 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035949 minus 18273605?\nAnswer: -18273604.964051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from llvlllllhvlmll.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 405, 418, 457, 534, 661, 850, 1113?\nAnswer: 1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/5 (b) 16 (c) -1.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1, -5, -20, 0, 5, -10 in ascending order.\nAnswer: -20, -10, -5, -1, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + 4\/3. Let g(q) = 3 + t*q + 5 + 0*q. What is the remainder when g(6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 13, -84\/11, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2*10\/(-36))\/(14120\/16944))\/((-4)\/(-114))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/7 + 11\/7. What is the closest to -0.4 in -2\/3, t, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + (sqrt(99) + -2 + sqrt(99) + sqrt(99) + 3 - sqrt(77)\/(sqrt(28)\/(sqrt(64) + sqrt(4)) + sqrt(7))))*5)**2.\nAnswer: 39200*sqrt(11) + 2770700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 2700 = 83*h. Suppose b + h = 47. Factor 0 + 2\/5*j - 1\/5*j**3 + 1\/5*j**b.\nAnswer: -j*(j - 2)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3974*((-5)\/2 - (9 - 12)). Suppose -4*k + s = 27. Let m = k + -316. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 25830189?\nAnswer: -33579245.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74453 is divided by 107.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 0.2, -0.4 in ascending order.\nAnswer: -35, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - i + 1056. Let b be u(0). Suppose 9*s = 3*s + b. Let m = s - 126. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679806*y - 27057 = -678873*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96504 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -416150.\nAnswer: 1\/208075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h + 12 = 0. Let c be (1 + 0\/h)*1. Which is bigger: c or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-16))\/(2\/26). Suppose -7*w = -l*w + 162. What are the prime factors of -93*(-3)\/(w\/15)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 4\/3*i**3 + 0*i + 14 + 8*i**4 + 0*i**2 + 64\/5*i**5. Determine k, given that y(k) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 123724 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -36. Let g(d) = -10*d**3 + d**2 - 6*d. Let x(o) = 19*o**3 - o**2 + 11*o. Let a(l) = q*g(l) + 6*x(l). Find the third derivative of a(v) wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3890 is divided by 119.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/792 and -53\/35136.\nAnswer: 386496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45357, -45391, -45429, -45471, -45517, -45567, -45621?\nAnswer: -45679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -491 + 1295. Let s = k + -793. Sort s, 3, -2, 2.\nAnswer: -2, 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109623579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i\/(i\/(i\/i**(2\/11)*i))*i)\/i)*i**(-1\/11))**(-50) assuming i is positive.\nAnswer: i**(1050\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5917.9932 seconds to hours.\nAnswer: 1.643887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -543 + 543. Let k(z) be the third derivative of d*z**5 + 0 + 0*z**4 - 7\/120*z**6 - 8*z**2 + 0*z - 4\/3*z**3. Differentiate k(p) with respect to p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8993, 9057, 9121, 9185?\n\"Answer: 64*l + 8929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 839*-34418.\nAnswer: -28876702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 4. Let l be s(4). Let d be 2*(12\/(-4) + 4). Sort 0, d, l in increasing order.\nAnswer: l, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (81\/(-360)*-8)\/((-3)\/(-10)). Let w be (-25)\/(-9) - (4 - 1). Which is the biggest value? (a) j (b) w (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 6.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1748655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 0.5 (c) -2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 81*c**2 + 17. Let q(a) = 27*a**2 + 6. What is 11*q(i) - 4*t(i)?\nAnswer: -27*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/14 + 4\/(-14). Suppose 75 = g + 2*g + 3*a, 40 = g - 4*a. Is 3 + s*g - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1900)*-1 - -2*(sqrt(1900) + sqrt(1900)*-1))**2*-4.\nAnswer: -273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*t = 0, 2*t - 3 = f - 0. Suppose 4*x + k = 218, -2*k - 266 = f*x - 8*x. Let l = 59 + -41. Calculate the highest common divisor of x and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 + 8*n + 3*n - 7*n in the form q*n**2 + b*n**3 + s + m*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 1. Let c be k(-1). Suppose -3*x = -c*x + 4*q + 103, -134 = 4*x + 2*q. Let a = -9 - x. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 134 - -73148?\nAnswer: 73283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (5 - (10 - 0)). Solve -12 = -a*k, 0 = -l + 4*l - 4*k + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-1\/2)*v*(v**2\/v*v)\/v*v*v*v**(-2\/13)\/(((v\/v**2)\/v*v*v)\/v)*(v**(-2\/29)\/v*v*v\/(v*(v*v*v\/(v**(-1)\/v)*v)\/v))**(-14) assuming v is positive.\nAnswer: v**(58293\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:50 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22188.8 * 105\nAnswer: -2329824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6244 divided by -460.\nAnswer: 1561\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Suppose w*k + 132 = 4*q, -4*q = -0*q + 3*k - 122. What is the remainder when q is divided by (-4)\/(-14) + (-150)\/(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 4*w**2 - 4*w + 3. Let x be v(3). Suppose -9 = -3*r - x. What is the units digit of 3\/9 + 23\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/(-324) + (-6)\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -33.128. Let y = 0.184 - u. What is y rounded to 2 dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlaxelllleeelelaeee. What is prob of sequence ee?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 110001011011 (base 2) to base 8\nAnswer: 6133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 1513 - 359 = 0. Is 52 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 41. Let q(g) = 15*g - 35*g + 21*g - 21 + 57. Let r be q(-11). Solve 5*d = -h*d + r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -21\/38797.\nAnswer: -3, -21\/38797, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5874 from 0.5.\nAnswer: 5874.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 48. Let d be -2 - -3*(-6)\/(-9). Calculate the least common multiple of 1 - (d - 18\/2) and j(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**7\/70 - 7*l**5\/60 + 3*l**2 - 4*l. Let o(m) be the first derivative of r(m). Find the third derivative of o(q) wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7530511*g = -7530566*g + 5225 for g.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*z = -33, 5*z - 11789 = -b - 11819 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 479*l**2 - 36*l - 137. Is q(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 1 - 7*f.\nAnswer: -7*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5235*f = 5232*f, t + 5 = 3*f - 7 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716667316 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 10 = -46 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 13*z**2 + 0*z + 1\/100*z**5 + 0 - 1\/40*z**4 + 1\/200*z**6 + 0*z**3 - 1\/350*z**7. Factor t(r).\nAnswer: -3*r*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3341894 divided by 17.\nAnswer: -196582","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/6)\/((-81)\/243).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 26. Let q be 0 - j - (1 + -2). Let o = -6 - q. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 0*h + 5*h + (-3 + 6 - 1)*(-h - 3*h + 5*h) + 13 - 16 - 8 + 11*h to g*h + w and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 48124.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - v + 35 = 0, 0 = -4*d - 3*v - 1 - 22. Let z(m) = 2*m**2 + 12*m + 11. Let b be z(d). Let i = 126 - b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 21408313?\nAnswer: -85633252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z - 1. Let k(p) = -4*p. Let v(f) = 3*k(f) + 4*w(f). Let y = -5 + 14. Let i = -5 + y. Calculate v(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56201435 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-2 - (-6 + 2)). Let u be 3\/3*(4 + (-10)\/2). Let f be 2 + (6\/(-18))\/(u\/(-3)). Solve 15 = -2*r - 3*j, s*r - 4*j - f + 4 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 3\/7 (b) 3\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -9\/539, 0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 13\/56 (c) -1\/2 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/3 and -103\/176640?\nAnswer: 176640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {e: 4, t: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 29 = -w. Let a be ((-20)\/w)\/((-2)\/(-10)). What are the prime factors of -3*48\/a + -1?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - (-100)\/15)*45\/6. Suppose -5*g - 15 = 5*k, 4*g + 25 = d*k + g. Factor 0 + 1\/5*f**k + 3\/5*f.\nAnswer: f*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1307 - -652. Is (-21504043)\/w - 4\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from jjpjdpddddddpjjcpp?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 + 5*x + 2. Let d be z(-3). Suppose 0 = -4*u - 3*q - q - 12, 2*u - 2*q = 10. What is the third biggest value in -4\/3, d, u?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + c**5 + 0*c**5 + 3*c**5 - c**5 - c**5 + (c**4 + c**3 - c**3)*(0*c + 0*c - 2*c) - 2*c**2 + 178 + 32*c**5 - 178.\nAnswer: 29*c**5 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121 - 10021000102112?\nAnswer: -10021000021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -43*n + 23 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 21*l**2 + 74. Determine m(-8).\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -2\/369, 2\/345, 1\/13, 3.\nAnswer: -9, -1, -2\/369, 2\/345, 1\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 120, 174, 246, 342, 468, 630?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) + 4\/(-14). Let k(o) = -o**3 - 6*o**2 - 2*o + 9. Let u be k(-4). Let z be -3*-5*(-5)\/u. Solve h - z = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 9372162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 12*f**2 + 415*f - 11500. Give x(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 232567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/201 and -31\/871134?\nAnswer: 871134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1976*c + 2551. What is a(1)?\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23*(-14)\/(-483)*5\/((-10)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5026 - 5030. Sort i, 66, 13.\nAnswer: i, 13, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 4*p + 3. Is t(3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173\/24 + 8. Let x = w - 1\/8. Which is the closest to -2\/7? (a) x (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from zyyyyyyyyyyyyyyyyyzy?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25795264927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -226.214 * 5.2.\nAnswer: -1176.3128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - s - 14, -5*x + 72 = 3*s + 29. What is the highest common divisor of 12240 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -3*i**5\/20 - 3*i**4\/2 - 5*i**3\/2 + 8*i - 1. Let w(p) = -2*p**3 - 17*p**2 - 15*p. Let x(j) = -3*l(j) + 2*w(j). Factor x(n).\nAnswer: 5*n*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/489670 and 37\/27127718?\nAnswer: 135638590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 607 - 1147\/2. Find the common denominator of j and 2018\/396 - (-6)\/33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683.3263 kilograms to micrograms.\nAnswer: 683326300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)\/(((a**(-7\/4)*a*a)\/a)\/a)*(a**(2\/9)\/a)**(15\/4))**12 assuming a is positive.\nAnswer: a**(-122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/135 + (-1)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34154099 divided by -34154099?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 4*i = -20. Suppose -i*y - 1 = -17. Let n(k) = 6*k**2 - 5*k + 1. Does 20 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/(7686\/9)*-4*1\/(-5)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnannvavvn. What is prob of picking 1 a and 1 n?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1006*u. Let f(o) = -1997*o. What is -3*f(r) + 7*x(r)?\nAnswer: -1051*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:45 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -92?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 114\/11 (b) 0.4 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 6140.\nAnswer: 6140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-10)\/16) - 1432. Let w = 3247 + k. What are the prime factors of w?\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/8*616\/((-49)\/7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**6\/75 + x**5\/25 + x**4\/30 - 7*x. What is b in h(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80852 in 3, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 51, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 6\/3 + -3. List the prime factors of (o - 3)*-1 - -20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b - 1 = -41*b. Let g(x) = 2. Suppose 0 = 4*v - 0 - 12. Let z(w) = 1 - 1 - v*w + 2*w. What is b*g(u) + 2*z(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 220 and 657923.\nAnswer: 144743060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2884 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101706 + 101706. Factor 4\/7*c**2 + j*c - 16\/7.\nAnswer: 4*(c - 2)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-6*371\/56)\/(-21). Which is the third biggest value? (a) -3\/5 (b) 0.5 (c) p (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11499*i*s**2 + 42495124*i + 7058*s**2 + 9*s wrt s.\nAnswer: 22998*i + 14116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1053) + sqrt(1053) + 5 + (sqrt(1053) + 0)*-3)*4 + 3 + -5)**2.\nAnswer: -1008*sqrt(13) + 17044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -21. Suppose -m*y = 2*y - 8. Solve -3*b - 21 = -3*o + 3, 5*b - y*o + 28 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19568733 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8491 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 82138.73 nanometers in centimeters?\nAnswer: 0.008213873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493\/(-2)*2*(-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 11. Let w be l(-6). Suppose -2*x - 36 = -w*x. Solve -5*g - x = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - c**4 + c**2 - c**3 + 24 - 9 + 7*c - 13*c to the form k + t*c**3 + x*c**2 + h*c**4 + n*c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 159.7 and 35649.\nAnswer: 5693145.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 27. Suppose -3*x - x = -q - 98, 0 = 4*x - m*q - 100. Suppose -19*r - 80 = -x*r. What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11*j**2 + 11*j - 3. Let q(f) = 4*f**2 - 4*f + 1. Let y = -19 + 13. Determine y*h(c) - 17*q(c).\nAnswer: -2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1458*l + 4279*l**3 - 744*l - 714*l - 4281*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 2 - 2*v**3 - 3\/2*v**2 - 1\/2*v**6 + 3*v + 3\/5*v**5 + 3\/2*v**4. Factor m(x).\nAnswer: -3*(x - 1)**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*l = -446 - 1889 + 191 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*q - 1687*q - 624*q)*(1 + 2 - 1).\nAnswer: -4820*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 36 = -3*i, -2*t - i + 25 = -2. Let v = t + -2. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t**2 + t + 4*t**2 + 2*t**2 + 2. Let c be h(0). Factor -5*k - 6*k + 4 + 7*k - c*k**3 - k**2 + 3*k**3.\nAnswer: (k - 2)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 10 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -o - 5167, -4*s + 2579 = -3*s - 2*o. Suppose s = -2*n + 13*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 7 + 7 + (2 - 7 + 10)*(-2*p - 3*p + 3*p) to n*p + v and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/442 and 17\/18.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*k + 72, -72 = -3*k + 10*r - 12*r. Calculate the lowest common multiple of k and ((-14)\/5)\/((-6)\/15).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 6. Let a be (l + 1)\/(4\/(-92)). Suppose a = 2*f + 4*c - 43, -3*c = 5*f - 144. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11*v**2 + 11*v + 34. Let j be t(20). Let y be (4\/10)\/(j\/(-130)). Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -303 + 314. Suppose 423 + 1117 = t*p. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2730 divided by 390\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9893*q - 6178. Let h(m) = -9892*m + 6208. Let u(k) = -2*f(k) - 3*h(k). Differentiate u(o) wrt o.\nAnswer: 9890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 541\/(-3))\/(196\/294). Let n = -61 + f. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1789368 by 21.\nAnswer: -85208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16261 is divided by 243.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-20))\/(19 + 234\/(-12))*(-152)\/10.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + 0*l - 2*l)*(3 - l - 3) + (4*l - 3*l + l)*(-2*l + 2*l - l) - 2 + 3*l**2 + 2 to the form u + i*l + z*l**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**(-1)*(o\/(o*o*o**(2\/3)))\/(o\/(o**(1\/4)*o*o))*(o**(2\/3)\/o)**33*((o\/o**(3\/4))\/o)\/o**(2\/5) assuming o is positive.\nAnswer: o**(-437\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5c20 (base 16) to base 5\nAnswer: -1223314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + z**3 + 6*z**3 - 3*z**3)*(37 - 56 - 47).\nAnswer: -66*z**4 - 264*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 47 = -5*u + 51 - 48, -2*j = -30 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 25*k**2 - 26*k - 49. Calculate t(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 36*o + 7. Give j(36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4810288?\nAnswer: 2, 7, 29, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-9\/7)\/m)*m\/(m**(4\/23)*m)*m assuming m is positive.\nAnswer: m**(662\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 + 3*x**4 + 6*x**3.\nAnswer: -3*x**3*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)\/((-6)\/(-18)). Let q be 179\/x - (-1)\/3. What is the greatest common factor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {m: 3, b: 1, j: 2, d: 1, g: 5, c: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1635 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.99668ml to litres.\nAnswer: 0.03099668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118841 is divided by 93?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 67. Let p be j(-22). Let x(n) = 4*n**3 - n**2 - n - 1. Calculate x(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002433 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 0.1, 7\/6, 2, -28?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = -40 + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -2*b - 5*y, 5*b = -6*y + 5*y + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320336919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -679 in 5, -3, -0.3, 119, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3636101715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 5*q**4 + 5*q**2 + 117 - 2*q**3 - 234 + 117 in the form k*q + l*q**3 + n*q**2 + p + d*q**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 440 - 373. Suppose p*l = 68*l - 1299. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3.1, 0.14, -0.4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2234*l + 4. Let c be a(-1). Let y = -1343 - c. What are the prime factors of y?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = -c - 2600. Calculate the remainder when c is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 20)*134\/804. What is the closest to x in -9, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14850, 23587, 32324, 41061?\n\"Answer: 8737*x + 6113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**2 - 2415*h - 1180. Calculate u(173).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*40\/5)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:07 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 87 = 4*y + 61, 3*y + 71 = 2*z. Suppose 4*o - z = -3*q, 0 = 3*o - 4*q - 32 + 2. Solve 0 = -2*g - 0*g + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/8808744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/7 + 58468*f**3\/7 - 854568285*f**2\/7 - 1709370450*f\/7.\nAnswer: -f*(f - 29235)**2*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-9)\/o))\/o)\/o**(-11)*(o\/(o*(o**(-2)\/o)\/o*o*o*o))**(-22) assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2. Let q(g) be the first derivative of g**4\/4 + 11*g**3\/3 - g**2\/2 - 9*g + 1. What is the least common multiple of y(4) and q(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*q - 2 + 1, q - 13 = 2*r. Let c be 0*(6\/q - 1). Suppose -2*n = 0, 2*w - n - n - 68 = c. Calculate the remainder when w is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336742*r - 40*r**2 + 336742*r.\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.061003339 to 5 decimal places.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 bigger than 834498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -1077.\nAnswer: -6\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/20 and -179\/1050.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20597 - -20603. Solve -48 = -q*k - 42 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20550191.\nAnswer: 19, 79, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3566 = -3*u - c - 468, 5*c = -5*u + 5150. What is the greatest common divisor of u and 1410?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90.95 - 88. Let d = -0.05 - k. Let i be 3\/(-7)*(-2)\/(-3). Put i, d, 0.5 in ascending order.\nAnswer: d, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1623 = -68*v - 59 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -498798, 1, 3\/2, -2\/5 in descending order.\nAnswer: 3\/2, 1, -2\/5, -498798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 57. Suppose 20*k - 468 = r*k. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-16)\/120*125\/(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1)\/(-2)*160\/2 + 2 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2*u**4*(u*u**13)\/(u**(-3\/4)*u) assuming u is positive.\nAnswer: u**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22032 + 0*g**3 + g**3 - 22795.\nAnswer: g**3 - 763","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -5*a + 4. What is the remainder when (-1005)\/(-60) - a\/8 is divided by 22\/6 - ((-2)\/6 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-13 - -10 - (-3 - (10 - 0))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Suppose 0 = o + 3*x + 10, x + x = y*o + 19. Which is bigger: -5 or o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2284 and 138753?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 930 + -932. Let u = -6 - -15. Sort x, 5, 2, u.\nAnswer: x, 2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1029\/4 in -0.1, 14, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2831 + -2797. What is the highest common divisor of 1445 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64676*o**2 + 4*o**3 + 64676*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6080*w**3 - 7312*w**3 - 1323*w**3.\nAnswer: -14715*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 12 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11249*x**2 - 2*x - 11247*x**2 - 6*x**3 - x + 2*x + 10 to the form n + q*x**3 + k*x**2 + o*x and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.107 + -269.693. Let w = g + 240. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/13, 1, -472, 11.\nAnswer: -472, -15\/13, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -30. Let k(o) = -d*o - o - o. Let x(v) = -11*v. What is -13*k(u) + 6*x(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/4 + 362529*a**3\/2 + 3081645*a**2 + 32992239*a\/2 + 106591023\/4 = 0. Calculate a.\nAnswer: -7, -3, 241703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + sqrt(147) + 0 - (sqrt(3) - (sqrt(3) - (-3 + sqrt(27) - sqrt(3)))))**2 - ((sqrt(108) - (0 + sqrt(108)))**2 + 3 + 1).\nAnswer: 72*sqrt(3) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36935, 73858, 110781, 147704, 184627, 221550?\n\"Answer: 36923*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -856 divided by 428?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1 - g - 1. Let s(n) be the first derivative of -n**5\/60 + n**3\/3 - 3. Let a(j) be the third derivative of s(j). Give m(a(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 43 = 4*y + 19, 4*y = -5*h - 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 6 = -8*o, -g + 3*o - 4 = 0. Solve 4*w - g = -2*k - 0, -22 = 4*k - 5*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*g = -1062, 0*m + g = m - 214. Suppose -m = -r + 787. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 77*x**4 + 87*x**4 + 3 - x**3 - 240*x**4 + 79*x**4 as v*x + j*x**3 + a*x**2 + q + p*x**4 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 0. What is the units digit of 6\/u + (-86)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*q. Differentiate -2*n**4 - 2*n**4 + 0*n**4 + 6 + q wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggnng. Give prob of picking 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202352337 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2 + 19)*(-11*s - 8*s + 8*s) - s - 3*s + 5*s to the form z*s + a and give z.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*p - m, -1 = -9*p + 11*p + m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 + -7)\/(-7 - (-14 + 8)). Suppose 2*b - 2 + 13 = -3*z, 4*b - 28 = 4*z. Sort g, 8, 5, z in ascending order.\nAnswer: z, g, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/60 + 11*j**4\/24 + 11*j**3\/6 - 29*j**2 + 2. Let v be s(-10). Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1165933 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 3*p**3 + 2*p**2)*(4*p + p**2 + 61 - 61).\nAnswer: 3*p**5 + 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -348939467512923.999873 + 348939662616667. Let k = 195103623 - n. Let b = k - -120. What is b rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 9 = -p. What is the hundreds digit of (-29955)\/(-90) + p\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(77) - -2*sqrt(77)) + sqrt(77)) + 5*sqrt(77)*1)\/((sqrt(88) - sqrt(88)*1*4)\/sqrt(8)).\nAnswer: -13*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2280*a**6 + 53389*a**3 + 1766*a**2 - 5895*a - 4.\nAnswer: 273600*a**3 + 320334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (15 + 13234\/(-286))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11)**(1\/17) assuming u is positive.\nAnswer: u**(11\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2 - 1951810*l - 7807160 = 0. Calculate l.\nAnswer: -390358, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*o + 7 = 181*o. Let b(z) = 4174*z + 218. Let i be b(o). What is i rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14083 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + 2. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 545 + 545. Let r = 6 + -1. Suppose 1 - r = 4*n. Determine a(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + 1 + sqrt(242)*2 - (((0 + sqrt(242) - sqrt(242)) + 4 - 5*(sqrt(242)*2 - sqrt(242))) + 2))**2.\nAnswer: -308*sqrt(2) + 11862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 770440477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007735 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**8\/1008 + 2*l**7\/315 + l**6\/72 + l**5\/90 + 19*l**2\/2 + 16*l. Let d(g) be the first derivative of y(g). Factor d(a).\nAnswer: a**2*(a + 1)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2514*c - 195 + 199 + 287*c.\nAnswer: -2227*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozooo. Give prob of sequence ozz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4273961559?\nAnswer: 3, 7, 11897, 17107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**3\/2 - 9*y - 6. Let v(f) = 32*f - 32*f + 7*f**2. Calculate g(v(j)).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 475984 (base 14) in base 12?\nAnswer: 995740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvnvvvvtnvtv. Give prob of picking 3 v.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w**2 - 4073988*w - 11282112 = 0 for w.\nAnswer: -36\/13, 104464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 8)*(-3 + 3 - 2)*(-2*f**4 + 0*f**4 + f**4) as u*f**4 + a*f**3 + c*f**2 + k + y*f and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1290 + 2?\nAnswer: -1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 55.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7341 - -11979. Does 30 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21983140.98 and 1267.\nAnswer: -21981873.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 - 3*j + 3. Let p(h) = -3*h**2 - 4*h + 4. Let v(d) = -2*p(d) + 3*x(d). Let m = 1 - 0. Give v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13287*b + 2*c + 8 = 13285*b, 0 = -b + 13*c + 94 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 371 - 140. Let d(r) = 38*r**2. Let f(o) = -1749*o**2. Let v(c) = l*d(c) + 5*f(c). Let u(t) = t. Determine v(u(i)).\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.634\nAnswer: -3.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*t - 14. Let m be (-1 + -6)*54\/t. Calculate the greatest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1018754 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**2 + 24*a - 165. Let o(v) = -125*v + 15 - 21 + 113*v + 4*v**2 + 88. Let g(c) = -3*i(c) - 5*o(c). Find the first derivative of g(x) wrt x.\nAnswer: -4*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-594)\/3*2\/(-3) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2. Let t be 4\/6 + 20\/15. Suppose -1 = d - t. Let h(u) = d - 1 + 0 - 2*u. Give a(h(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3170 - 3183. Put 3\/5, g, -6.9 in ascending order.\nAnswer: g, -6.9, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -37 + (32 - 20) + -2 + 3 + -16?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 458 - 458.3. Let v = -1.7 + 1.9. Let b = 1.1 + -0.1. Put y, 2\/15, b, v in decreasing order.\nAnswer: b, v, 2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 4. Let m be d(-5). Let n(u) = u - 2. Let q be n(m). Suppose 3*g + 2*p - 9 = 0, q*g - g - 21 = 2*p. Solve 4*k + 7 = -g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y = -48*y + 1228. List the prime factors of y.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -484 + 968. Let p = -428 + i. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, -18, 2, 65, 6 in descending order.\nAnswer: 65, 6, 2, -2, -16, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5361?\nAnswer: 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa55 + 3?\nAnswer: -aa52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*g**3 + 9*g**3 + 7*g**3 - 3 to d*g**2 + b + w*g**3 + y*g and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/4 + 3\/2. Let j(w) be the first derivative of 1\/12*w**3 - 1 - i*w**2 + 1\/4*w. Let j(n) = 0. What is n?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3\/7 - 12*n**2 - 416*n\/7 - 48 = 0.\nAnswer: -14, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22441, 44880, 67319, 89758, 112197?\nAnswer: 134636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35429440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvonrluluru. What is prob of picking 1 r and 1 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -1\/4*q**4 + 1\/20*q**5 + 1\/30*q**6 - 1\/6*q**3 + 13*q + 0 + q**2. Factor s(b).\nAnswer: (b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 + 250.5. What is a rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11448548 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76308.0045633 + -76308. What is j rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 2\/7, 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -2*b**3\/15 - 31*b**2\/5 + 289. Let v(h) = 0. Calculate h.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 18*c**2 + c - 12. Suppose 3*m = 5*r + 44, 3*m - 7*r + 3*r - 46 = 0. What is the remainder when 87 is divided by p(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 1 + 1)*(0 - 4 + 2)*(0 + 1 + 1)*(-107 - 4*d + 107).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5489 divided by -24397\nAnswer: -5489\/24397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/88 and -11\/1730152?\nAnswer: 19031672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4c (base 13) to base 5\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p - 1. Let y(n) = -20*n + 4. Let a(r) = -14*h(r) - 5*y(r). Let k(x) = -2*x + 5. Suppose -2*v = v - 12. What is v*a(g) + 5*k(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f\/f**(-6\/7))\/(f**(-2\/3)*f)**(3\/8))**(2\/43) assuming f is positive.\nAnswer: f**(97\/1204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28164 + -28196.989. Let a = 0.011 - h. Let m = 32.66 - a. Round m to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/20 - 13*p**4\/12 - 2*p**2 - 7*p. Let d(n) = -7 + 3 - 10 - 4*n**2 + 13. Give 7*d(m) - 2*q(m).\nAnswer: 2*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6808 divided by 92?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 217214836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-26 + 31 - (5 + -20) - -66).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 6. Let o(z) = -59178 + 59178 - z. Calculate o(b(y)).\nAnswer: -2*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 966739439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2 + (-27)\/(-15)). Let q = -8 - x. List the prime factors of (-3)\/q + (-2 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 r when three letters picked without replacement from {d: 2, r: 1, c: 1, u: 1, e: 4, n: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 13}. What is prob of sequence jaa?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*n**2 + 2*j**2*n + 50*j*n + 98*n**3 wrt n.\nAnswer: -2*j**2 + 588*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 4*x + 10. Let r = -7 - -16. Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/14084630 and -29\/90?\nAnswer: 126761670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -168 + 72*g - 41*g - 77 - 21*g - 42*g. Is q(-12) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbss when four letters picked without replacement from jwjxbwjssjjwjsxsjsje.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-31)\/155 - (-12)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6396, -6374, -6350, -6324?\n\"Answer: c**2 + 19*c - 6416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 + 6*b**2 - 6*b + 6. Let k(s) = -s**2 + 68*s**3 - 1 + 6*s - 69*s**3 - 5*s. Let n = 1 - 0. Give n*o(u) + 6*k(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 304 - 75. Suppose 5 = 2*c + 3, 4*c - w = -5*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 221, 242?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8473841225691 + -2\nAnswer: 8473841225689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 = 0, 5*c = -s + 15 + 1. Suppose -5*x + c = -6. Let u be (3\/(-5))\/(x\/(-10)). Solve l - u = 3*j + 9, 3*j = -5*l - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -180, -273, -370, -471, -576?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-2\/9))\/v)\/v)\/v*v**2*v**(-1\/6)*v**(2\/7)\/v)\/((((v**(-1\/6)\/v)\/v)\/v*v\/(v**(-1\/4)\/v))\/(v\/v**0*v)**(-27\/7)) assuming v is positive.\nAnswer: v**(-1879\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -z + t, 18*t - 20*t = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) 14 (c) -2\/9 (d) -1\/7 (e) 0.149\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4}. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5\/2 + 10749*y**4 + 38535159*y**3\/2 + 38502918*y**2 + 19246086*y.\nAnswer: 3*y*(y + 1)**2*(y + 3582)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83361, 166738, 250117, 333498, 416881?\n\"Answer: x**2 + 83374*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 + 519 = 107*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -369 + 374. Solve s - 6*s - g = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-11 + 10 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1, 3, -1\/26, 9\/4, 0?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66307205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - -86 - (1 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) - (sqrt(187) + sqrt(187)*1*6)))\/(sqrt(704) + (sqrt(704) - 1*sqrt(704))) + 4)**2*-6.\nAnswer: -5571\/32 - 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*o - 6 = 0, 3*a + 8*o + 15 = 3*o. Suppose 5*w + 37 - 7 = a. Is (-2 + 1)\/(w\/48) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -203, -214, -229, -248, -271?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386311239 divided by 2.\nAnswer: 386311239\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 103, 45, 1, -23, -21, 13, 85, 201?\n\"Answer: i**3 + i**2 - 68*i + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + 3233131001?\nAnswer: 3233130432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*s - s, 0 = 2*r + 3*s - 7. Suppose -l + 5 = 3*i, 10*l + 5 = -r*i + 5*l. Let n(d) = -d**3 + 5*d**2 - 3*d + 3. List the prime factors of n(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 5*m**4\/4 - 20*m**3\/3 + 27. What is the third derivative of q(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -648, -645, -620, -561, -456, -293, -60?\n\"Answer: 2*l**3 - l**2 - 8*l - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2815*h + 2829*h + 98 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 - 2*y**5 + 5*y**5 + (0*y - 3*y - 2*y)*(36 - 51 - 95)*(y**4 - y**4 - 2*y**4).\nAnswer: -1098*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -154.787 + 214.67. What is r rounded to zero dps?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s - 21373 = -20957 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.714 + -0.254. Let s = -2.49 + b. Let p be 2\/(-3) - 48\/(-45). What is the smallest value in -5, s, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -165*d**2 + 2. Let w(p) = -7*p + 2. Let a(b) = 24*b - 7. Let k(u) = 4*a(u) + 14*w(u). Give k(j(h)).\nAnswer: 330*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 4. Let a be d(0). Suppose 0 = -3*h - j - 13 + 50, 2*h - 5*j - 19 = 0. What is the greatest common divisor of a and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9244 + 431. Suppose -11*v - 4*v + i = 0. What are the prime factors of v?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:22 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4*d**2 + d**3 + 99 - 96. Let c be z(-3). Calculate the remainder when 55 is divided by -24*2\/(-3) + c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4570\/49 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1*(sqrt(102) - sqrt(102)*1) - sqrt(102)) + sqrt(102)))\/(sqrt(24)\/sqrt(4)*3*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70089422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = -25. Let h(m) = -m**3 - 5*m**2 + 3*m + 4. What is h(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - c5?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(130) - sqrt(130)*3) + sqrt(130) - (-6*3*sqrt(130) + sqrt(130)))\/((4*sqrt(120)\/sqrt(2))\/((sqrt(90)\/sqrt(3))\/sqrt(5))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130663 is divided by 3308.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*r - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a minute in milliseconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 - 186. Let n = -25 + r. Let u = n - -111.7. Round u to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205726730 by 2519.\nAnswer: 81670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -388 - -384. Sort m, -1, 2.6 in decreasing order.\nAnswer: 2.6, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.5 - 0.3. Let u = 0.6 - y. Let q = 8.4 - u. Which is the fourth smallest value? (a) 1 (b) 4 (c) q (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93.72 + -70. Let l = 0.88 + t. What is l rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**3 + n**2 + 4*n. Let y be k(-2). Suppose -2*f + 14 = -y. Let m(c) = 38*c + f*c - c**2 - 71*c + 4. Calculate m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191969, -191947, -191925, -191903?\nAnswer: -191881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47255253212\/26619443415 - -54\/3767791. Let r = d - -2\/785. Calculate the common denominator of 5\/7 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4 + (-75)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 176 (b) 2\/5 (c) -36 (d) -3 (e) 635 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:40 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1300850, 2601707, 3902564, 5203421, 6504278?\n\"Answer: 1300857*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 6*f**2 - 5*f + 6. Let y be p(7). Calculate the greatest common factor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279107?\nAnswer: 79, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*k**3 + 836*k**3 - 420*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 4:02 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/50 + 13\/25. Let w(b) = -b. Let p(f) = 3. Let j(a) = -p(a) - w(a). Let v be j(5). Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 21. Suppose 2*g - 4*d + 4 = 2, -4*g + 4*d - f = 0. Let y(q) = q + 7. Let v be y(g). Solve 0 = -3*t - s + 10, v*s = -5*t + s + 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2109*a**4 - 1251*a**4 + 1244*a**4 + (-3*a**2 + 4*a**2 - 2*a**2)*(2*a**2 + 2*a - 2*a) as m*a**3 + g*a + c + h*a**2 + f*a**4 and give f.\nAnswer: -2118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 9928\/9475?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 7*z + 5. Suppose 0 = 4*v - 3*p - 10, p = -4*v - 4*p + 26. Suppose 0 = -2*i + 10 - 10. Suppose u + v = -i*u. Give h(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5593 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372288525 divided by 709121?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57953002?\nAnswer: 2, 19, 541, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(1300))**2*-1.\nAnswer: 26000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16269283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4488 - 3435. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 5:45 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 50400999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21014 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3*n)*(538 + 621 + 8 - 8) as r + q*n and give q.\nAnswer: -3477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 22\/27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2\/11 - 28*p\/11 + 26\/11 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115831523?\nAnswer: 17, 233, 29243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/940625 and -51\/473.\nAnswer: 10346875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 198*l. Let v(o) = o**2. What is v(u(k))?\nAnswer: 39204*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o + 13247465 + 1804*o - 13247465.\nAnswer: 1797*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 1)*(1 - 2 + 5)*(-7*b**2 - 3*b + 3*b**2 + 3*b**2) to g*b**2 + t*b + i and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 767 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36452 is divided by 133.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283.6 - 246. What is h rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8981575*k**2 + 231587401?\nAnswer: 17963150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + i - 1. Let q(n) = -n**3 + 10*n**2 - 8*n - 5. Let h(g) = 3*f(g) + q(g). Give h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/4, 1.6, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 1 = -3*i, i + 5*h = -69 + 52 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -7. Is 160 - (d - 1) - 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14966586 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 3*i - 208. Suppose 5*u + 4*b + 6 = 0, 0 = 3*u - u - 4*b - 20. Suppose i = n + u*n. What is the greatest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j*j**0)\/j)**37*j*j\/(j*(j**(2\/3)\/j)\/j*j*j)*j**(1\/3) assuming j is positive.\nAnswer: j**(224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5589a37b + 2?\nAnswer: -5589a379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 672.4307 micrometers?\nAnswer: 0.06724307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 15 = 4*h, 0 = -4*s - 4*h + 316. Let t = 170 - s. What is the remainder when t is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 281 in decreasing order.\nAnswer: 281, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (72\/16)\/(2\/12). Suppose c*n = 15*n + 1368. Suppose -5*s + 35 - 5 = 0. What is the greatest common factor of s and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -a - 1, -13*b = 4*a - 8*b - 30. Let y(x) = -17*x**2 - x. Let k be y(2). What is the biggest value in k, 3\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-6) + 3\/(-9). Let h(c) = c**2 - 3*c + 3. Let w be h(q). Suppose -4*o = -w*o + 48. Calculate the greatest common factor of o and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b - 3*b + 5*b + (-2*b + 3*b - 2*b)*(3 - 3 - 2) + (-5 - 2 + 4)*(b + 0 + 0) + (-1 + 3 + 0)*(0*b + 0*b - 2*b) in the form n*b + u and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4\/3, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007323 rounded to 4 dps?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 divided by -6?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1751*i**2 + 8274*i - 2 + 2 - 8274*i to the form o*i**2 + p + d*i and give o.\nAnswer: 1751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 8. Suppose -r + 1 = -3*s + 4*s, -4*r - 10 = -3*s. Suppose 0*j = s*j - 24. Calculate the smallest common multiple of j and c(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.1 (b) -17 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2*(-2)\/120). Let s = n + -27. Let j = 2 + 13. Solve j = -4*a + a + s*t, 0 = -3*t + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10941.129329737?\nAnswer: 10939.129329737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683, 671, 641, 587, 503, 383, 221, 11?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 4*x + 21, -20*x - 25 = -5*z - 15*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {n: 9, k: 3, g: 4, c: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.77, -3, 4, -1\/3 in descending order.\nAnswer: 4, 3.77, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*s - 1, -5*p - 7*s = -6*s - 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221959241 to the nearest integer?\nAnswer: 14898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*g - 3280 - 2784 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48443800 rounded to the nearest 100000?\nAnswer: 48400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 28\/15?\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14042 - 80.\nAnswer: -14122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - m - 6. Suppose 0 = 5*c + 2*l, -4*c - 4*l + 7 = 19. Suppose -a + 2*a = -4*f, 0 = -c*a - f. Calculate n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.049 - -33.951. Let a = -958.9 + 963.9. What is the nearest to n in -0.5, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 5*a + 2*a**3)*(270 + 14 + 71).\nAnswer: 710*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 19*v**2 + 18*v - 10. Let p be g(-8). Suppose -p = -6*o - 50. Let w(d) = 5*d**2 + d - 1. Calculate w(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 - 5*b**2 + 7*b + 2. Let o be z(-3). Suppose -o*v - 1395 - 893 = 0. Let u = -0.3 - -0.1. Is u > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145780206 divided by 6\nAnswer: -24296701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzcz when four letters picked without replacement from {c: 2, z: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0*k**2 - 1\/15*k**6 + 0*k**3 + 3\/10*k**5 + 7*k - 5\/18*k**4 - 1\/63*k**7 - 1. Suppose f(u) = 0. What is u?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 + 4 = 41*b. Calculate the remainder when 18 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 4*v**2 + 7*v - 7. Let d(l) = l**2 - 15*l - 13. Let p be d(15). Let c = -8 - p. What is u(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455930894?\nAnswer: 2, 3, 11, 43, 513013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63554, 63556, 63558, 63560, 63562?\nAnswer: 63564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 101*m + 2286. Let s be l(120). Let i(h) = -14*h + 5. Let x(d) = 41*d - 14. Calculate s*x(c) + 17*i(c).\nAnswer: 8*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*x = -37, 5*z + 0*z = x + 41. Suppose 6*m + 108 = 8*m. What is the remainder when 744\/m + (-6)\/(-27) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 6*y**2 + 2*y + 1. Let g(j) = 16*j + 303. Let s be g(14). Let r = 599 - s. Calculate the remainder when r is divided by x(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*j**2*m**3 - 45966*j**2 + 19*j*m**3 - 7*m wrt m.\nAnswer: 69*j**2*m**2 + 57*j*m**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1386 and 65\/774.\nAnswer: 59598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 3, 12, -0.0034?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -314161, -1256647, -2827455, -5026585, -7854037, -11309811, -15393907?\n\"Answer: -314161*i**2 - 3*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1946*g + 6 + 329*g**3 - 1946*g - 6.\nAnswer: 329*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9 - (-220)\/25)\/((-1)\/365) is divided by ((-144)\/(-84))\/6 + 75\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/4, -1.4, 2, 0.5, -1\/8 in increasing order.\nAnswer: -1.4, -3\/4, -1\/8, 0, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 37984492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 46 = 5*c, 28*i + 633 = -4*c - 990*i + 206 - 627 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -166582, -666028, -1498338, -2663512, -4161550, -5992452?\n\"Answer: -166432*u**2 - 150*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 284.5, -1.\nAnswer: -1, -0.4, 284.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + (sqrt(480) - -4*(-1*sqrt(480) - sqrt(480)))\/(sqrt(30)\/(6*sqrt(3)*-2))*-3)**2.\nAnswer: -14112*sqrt(3) + 3048241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004481643782 rounded to 6 decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 401481802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1473\/11 + -134. Let q = 31\/99 + y. Solve q*i**2 + 0*i + 0 + 2\/9*i**4 - 4\/9*i**3 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/52826 and 95\/3464.\nAnswer: 211304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/10561412 and -46\/11.\nAnswer: 116175532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123 - 256*v - 123)*(1 - 3 + 1)*(2*v - 3*v + 0*v) + 0*v**2 + 5*v**2 - 4*v**2 to the form j*v**2 + d*v + g and give j.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(151*a + 87*a**4 - 151*a).\nAnswer: -348*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 75*j**4 + 95*j**3 - 20*j = 0.\nAnswer: -1, -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 599546533 to the power of 1\/2, to the nearest integer?\nAnswer: 24486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1404374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 22 = 3*m, 8*m - 5*m = -4*f - 17. Let x = 10 - -12. What is the remainder when x is divided by 14\/2 - (-2 + m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 15*m. Let k(r) be the second derivative of r**4\/6 - 6*r. What is k(x(b))?\nAnswer: 450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -91081.714 rounded to the nearest 10?\nAnswer: -91080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14308690 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:17 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4104.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = -k - 6*k. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p\/((p\/(p*p\/(p**(-3\/8)*p)*p*p*p))\/p))*p)*(p\/(p*p**(-8\/5)*p))\/p assuming p is positive.\nAnswer: p**(159\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*o + 1919 = -266*o + 5789 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -364*f**2 + 366*f**2 - 1 + f**3 + 2*f**3 - 6*f + 5*f**3. Let d be o(2). Round d to 0 decimal places.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**3*t**3 - 687*m**3*t**2 - 163*m*t**3 - 2*m*t - 2*m - 3*t wrt m.\nAnswer: 18*m*t**3 - 4122*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 55844891.14 to the nearest one million.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8240 = 448*y - 9680 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240462245?\nAnswer: 5, 569, 84521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -739 + 5103. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.026 - -0.974. Let h = -0.49 - -3.49. Which is the closest to p? (a) -2 (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0 (c) -0.4 (d) 0.138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 613930 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3007559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 458257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/105*(2835\/(-132))\/189.\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24325733?\nAnswer: 3581, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 15 = 4*b. Calculate the remainder when 21\/6*(-4 + 10) is divided by (-2)\/b - 31\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141450000 rounded to the nearest one million?\nAnswer: 1141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*s + 192*s - a - 9 = 0, 6 = 2*s + 2*a. Let c be (4 - 2)*(-4)\/(-2). Calculate the highest common divisor of c and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 > -0.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**4\/4 - d**3\/3 + 2*d**2 - 3. Let q be a(-3). Solve -4*l - 5*c = -9, -4*l + c - q = 3*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26371014.\nAnswer: 2, 3, 1259, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -997, -1141, -1547, -2347, -3673?\n\"Answer: -22*u**3 + u**2 + 7*u - 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -45, -34\/3, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 22 - 7 = 3*d, 2*p = -4*d - 30. Let z(s) = s**2 + 10*s + 14. Let m be z(d). List the prime factors of 0*m\/(-8) + 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + ((2*sqrt(76)*5)**2 - (-2*-2*sqrt(76))**2)*-1 + -4.\nAnswer: -6397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x = 903 - 1083 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*w - 4. Suppose -4*d - 11 = w*u, -2*u - 4*d = -3*u + 7. What is the hundreds digit of (-89 - u)*(-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 3*h + 3. Calculate c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*w - 441, 2*l - 96 = -5*w + 117. Let r be (-6)\/5*(-57)\/l. Determine f so that 3*f**4 - 6\/5*f**5 - r*f**2 + 0 - 9\/5*f**3 + 3\/5*f = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24\/5417, 1\/20, -1\/20, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 405, 7, 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylllylllkyppk. Give prob of sequence plpl.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 5*k + 4*h - 0*h, 0 = -3*h - 15. Let i(q) = -q**2 - 15*q. Let p be i(k). Solve -x + 5*x - 3*f + 15 = p, -3*x + 2*f - 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 + 1.63. Let r = o + -0.1. What is r rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**4 + 57*c**3 + 9*c**2 - 165*c - 114 = 0?\nAnswer: -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5647.\nAnswer: 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -1609, -3673, -6571?\nAnswer: -10303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 22 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4821413 + 4\nAnswer: 4821417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a decade in years?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 4*w**2 - 2. Let v be b(-4). Let a be v\/(-6) - (-16)\/6. Is (-1)\/(a\/6) + 37 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113\/68 + -24\/17. Let c = 237\/4 + -59. What is the nearest to f in 3, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -47, -45, -43, -41, -39?\n\"Answer: 2*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -47?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.32 + 14.58. Let r = j - 18. Let k = 6.4 - 7. Which is the third biggest value? (a) -0.2 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7462999ug?\nAnswer: 746.2999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/99 and -19\/34449.\nAnswer: 1136817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/37 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 6196646 and 6196649 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 24 = -4*l, -2*l - 5*y - 21 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*y**2 + 148*y**2 + 153*y**2 + 154*y**2 + 154*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.1 - 15.1. Let r = -10.79 - a. What is the smallest value in -1, r, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 7:44 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(20)\/sqrt(4) - sqrt(5)) - (sqrt(35) - sqrt(175)\/sqrt(5))\/sqrt(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 - 182\/(-65)*5. Solve 4*c = 2*p - l, c + p - 2*p + 3 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 2, z: 2, p: 4}. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28428*f**3*v + 9*f**3 + 27*f**2 + 13*f wrt v.\nAnswer: 28428*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43437 - -61700. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrre when four letters picked without replacement from rrqqrrrreeeqqrrqrrwr?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.0451 - 0.0451. Which is the nearest to 0.3? (a) 0 (b) v (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 2100*g**2 + 326055*g - 7940650.\nAnswer: -5*(g - 94)*(g - 31)*(g + 545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23201133 (base 4) to base 9\nAnswer: -71663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 8*i - 8500. Round i to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + u = -34 - 3, -g = u - 35. Let y = -71 + 71. Suppose 48 = 4*a - 4*s, y*a - 2*a - s = -15. Calculate the greatest common factor of g and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4127 - -4788. Solve -21 = -q*r + 654*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57474 - -811705301\/14123. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -p + 23, -6 + 24 = p + 2*j. Let r = -23 + 18. Let o = r + p. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.07 minus 0.901?\nAnswer: 39.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4292, -4277, -4252, -4211, -4148, -4057, -3932?\nAnswer: -3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23325 - -35126. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297127591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*p + 15*p + 51*p.\nAnswer: -192*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o - 66*o - 771 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5425, 5426, 5427?\n\"Answer: u + 5424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -25337058.\nAnswer: 2\/12668529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let b = -2 + 4. Suppose -b = 2*t - 4*f + 2, -t + 10 = 2*f. Let u(y) = -t*y + 3*y + 0*y. Determine w(u(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 929004 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i + 10. Let v = 8 + i. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -20. Let u = -23 + 32. Let x(l) = -l - 6. Let g be x(-6). Solve g = -w*b - 0*b - u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 14*i**2 - 37*i - 18. Let a be x(-15). What are the prime factors of 44\/154*(1 + a)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3729 and -0.3.\nAnswer: -0.11187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(71\/142). Let g(o) = q - 4 - 2 - 2 - 8*o + 2. Let k(y) = -15*y - 6. Suppose -9*l = -5*l - 44. Determine l*g(u) - 6*k(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2 + 332702*r = 0.\nAnswer: -166351, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l - 35. Let u(y) = 7*y + 36. Let c(q) = -2*p(q) - 3*u(q). Differentiate c(v) wrt v.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1368 and -23\/760?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 612 - 378. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/(-4) - 3\/3. Solve 5*n = -0*n + k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -5111?\nAnswer: -5113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:12 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 91134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 299053\/36 - 8304. What is the common denominator of h and 41\/52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 12*i**2 + 11*i. Let l be p(11). Suppose -b - 7*a + 3*a = -68, 5*b + 2*a - 322 = l. Suppose -22*s = -18*s - b. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7200 and 23400.\nAnswer: 93600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 4, 31 in decreasing order.\nAnswer: 31, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*v + 2528 = 652*v + 42878 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 527 - 527. Let l = 1453 - 10187\/7. What is the nearest to z in 4, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209 - 211. Let o be b + 14*4\/48. What is the biggest value in -1\/120, -2, o?\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) 0.001 (b) 0.4 (c) 6\/7 (d) -0.4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.58 + -0.02. What is p rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -23*p + 13. Let v be ((-217)\/(-21) - p)\/((-6)\/(-81)). What is the greatest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 49*o**2 - 3*o - o**2.\nAnswer: 41*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (23236\/2)\/(4\/14). Suppose -4*c - g + 12 = 0, 5*g - 7 = -4*c + 5. Suppose v = -c*x + 12763. What is x rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1980 and 77\/4275.\nAnswer: 188100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 369 + -358. Suppose 3*i + 6 = 6*i - c, 5*i + c - 10 = 0. What is the lowest common multiple of a - (1 + i + -2) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2700*b**3 + 2709*b**3 - 5431*b**3.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*s**2 + 1608*d*s + 2466*s**2 wrt d?\nAnswer: 4*d*s**2 + 1608*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) + 3912\/264.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -39*q + 107. Determine a(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 755*v - 20. Let y be m(8). Suppose 0*w + 4*w = y. Let u = 1075 - w. What is u rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/16*26\/39?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, -12.\nAnswer: -12, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1118 + 1118 - l. What is r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + 2*o**2 - o**2)*(-2*o + 0 + 0) + 4*o - 4*o + 2*o**3 + 2*o**3 + 5603 - 233*o**3 - 5603 in the form r*o**3 + t*o**2 + j + b*o and give r.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 7 - (9\/27 + 20\/(-6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = -h + 3*h, -3*h = -3*n + 24. Suppose -n*m + 387 = r, -3*r + 0*r = 5*m - 475. What is the remainder when (m\/(-4))\/(4\/(-8)) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2018227.32 seconds?\nAnswer: 23.3591125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggnnnntgnnnngnggt. Give prob of picking 1 t, 1 n, and 2 g.\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 5) + 121 + 14. Suppose -2*s - 2*g + f = 0, -13*s + 16*s - 5*g = 169. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4 - 297*o**3 - 28171*o**2 - 1029375*o - 11535100 = 0.\nAnswer: -155, -61, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10702637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -112. Let s = k + -8. Let z be ((-4)\/28)\/((-3)\/21). Solve 2*r - z - 7 = s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by ((-189)\/(-105))\/(3\/135).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31+-16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 975\/(-52)*112\/70.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62.082 + 0.082. Let b = t + 55.5. Let c = -6.50488 - b. What is c rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26811 - -37583. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 33959753260?\nAnswer: -33959753260.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 13071.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crlrkjs. Give prob of sequence rk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 262529 and 29020525?\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315084 and 132.\nAnswer: 315084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*f*g**2 - b**2 - 2*b - f*g**2 - 14*f*g - g**2 - 32 wrt f.\nAnswer: b**2*g**2 - g**2 - 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(88)*-5)\/sqrt(2))\/(-5*-2*sqrt(4)).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -9. Suppose w + 2*w + n = 17, -3*n + 35 = u*w. What is the second derivative of -1 - 3 + w*t**4 + 4 + 2*t wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 3*u)*((-1 - 3*u + 1)*(-2 + 2 - 2*u) + (u - 4*u + 2*u)*(2*u + u - u) + (-2*u - 6*u - 4*u)*(-1 + 1 + 2*u)).\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 7) to base 8\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 2, 0, 47.\nAnswer: -6, 0, 2, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/11327 and -5\/12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v - 2 - 2*v**2 - 7*v**3 + 18*v**3 + 3*v. Let g = 14 + -9. Let m(k) = k**2 - 1 - k**2 + 7*k**3 - 5*k - k**2. Give g*a(q) - 8*m(q).\nAnswer: -q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78461, -78471, -78489, -78515, -78549, -78591, -78641?\nAnswer: -78699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 2. Let a be x(2). Suppose -z + 19 - 3 = -2*n, 5*n = -4*z + a. What is the remainder when (414\/(-30))\/(10\/(-50)) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/6 + 118294*x**2\/3 = 0?\nAnswer: 0, 236588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 2*r**2 + r - 4. Let p be i(3). Suppose l - p = -l. Suppose 5*f + l*n - 20 = f, 5*n - 15 = 0. What is the least common multiple of 7 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104223 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - v + 83 = 0, -24*y - 221 = -38*y + v for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 1, w: 2, h: 2, y: 4, g: 2}. Give prob of picking 1 w, 1 d, and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3, 8*o - 11*o = 2*k - 30. Solve 2*q + 0 = -o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-8 + 17) - -15\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2.8, 0.2, 5, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*i - 122*i - 176004*i**3 + 61*i - 8634*i**3.\nAnswer: -184638*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 + (6 - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 b when three letters picked without replacement from iqqqvlbiqbqbi?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*x + 26 = 2*a - 2*x, -88 = -4*a + 18*x - 2*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence piib when four letters picked without replacement from {p: 1, b: 1, i: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 4 in increasing order.\nAnswer: -8, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*a**3 + 36*a**5 + 32*a**2 - 92*a**3 wrt a?\nAnswer: 2160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o + o - 3*o + 5*o + 4. Let f(v) = -8*v - 4. Let k(j) = 6*f(j) + 7*w(j). What is the units digit of k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 12667.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4926, -4, 4, -5, 0, 984 in descending order.\nAnswer: 984, 4, 0, -4, -5, -4926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -34433?\nAnswer: -34423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100702811 and 27464403.\nAnswer: 302108433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 2\/1869 (b) 3\/20 (c) 0.2 (d) 0 (e) 4\/9 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -245*q**2 + 28*q**4 - 2 + 245*q**2 + (3*q + 4*q - 5*q)*(2*q - 2*q + 2*q**3) - 5 + 2*q**4 + 5.\nAnswer: 34*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 99?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a - 9245 + 9245.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5\/50 + (83965\/50)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 6897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248736953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - -88. Suppose -5 = -r + 3*j, -4*r - r - 5*j = -5. Suppose 3*y - q = -r*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 101, -1\/7, -107, 0 in increasing order.\nAnswer: -107, -1\/7, -2\/15, 0, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 100 = -4*q + r, 50 = -2*q + 3*r. Let z be ((-2)\/3 + q\/(-60))*-20. Suppose -9 - z = -j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n - 1. Suppose 2*v - 9 = 3. Let m(j) be the third derivative of -j**5\/15 + j**4\/6 + 5*j**3\/6 + 102*j**2. Determine v*g(q) + m(q).\nAnswer: 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4 - 6699*m**3 + 168100*m**2 = 0.\nAnswer: -6724, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpfphzp. What is prob of picking 1 h, 1 v, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 + 143. Let p = y + -69.53. 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: Rearrange 1106 - 210*u**2 + 976 + 32*u - 2082 to the form t*u + h*u**2 + g and give h.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 944, 2124, 3758, 5834, 8340?\nAnswer: 11264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 154 = i, -2*i - 3*i - 20 = 0. Solve -2*p - q = 5*s, 7*s - p = 4*s - 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1025\/6 = -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*g = 21*g - 134. Solve 4*v - g*o + 22 = 4, -4*v + 3*o = 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 0.68. Let w = 4.3 + h. Let l = -226.32 + 225.32. Which is the second biggest value? (a) l (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 8*o**2 + 7*o + 2*o**2 - 96*o.\nAnswer: 2*o**2 - 89*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 48 + 58 = 3*b, 2 = 2*t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4112 + 8915. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 4*f + 7. Let g be a(-6). Let t(k) = k**2 + 4*k + 5. Let p(y) = -2*y**2 - 8*y - 10. Let c(v) = -3*p(v) - 5*t(v). Is c(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**5\/5 + 37*a**4\/3 - 71*a - 24. What is l in c(l) = 0?\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 6589*g\/2 + 2472 = 0 for g.\nAnswer: -3\/4, 1648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 766907 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*v - 2*v - 13*v)*(-1 + 0 - 1)*(-2 + 1 + 2)*(0 + 0 + 2*v) in the form y*v + j*v**2 + s and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 360555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbsbslbbs. Give prob of picking 1 b and 2 l.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from gggtgggtgtggggg?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 + 7 = 0. Suppose n - 2 = h - 1, -h - w*n = -11. Suppose 2*y - h*y = -13. Calculate the greatest common factor of y and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -434*o - 269. List the prime factors of i(-6).\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 22, 107, 268, 529, 914, 1447?\nAnswer: 2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llslvvdvaslls. Give prob of sequence vsd.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63068178 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 674 = 5*p. Let w = p - -16. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4201474 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 divided by -10484?\nAnswer: -372\/2621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*p + 4 = -2*p, 2*l = -3*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2158967304219.\nAnswer: -2158967304222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218*p**5 + 265*p.\nAnswer: 4360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + -13 + 11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 + 0*n + 0*n)*(81*n**2 + 124 - 241 + 116) in the form t*n + s*n**3 + z*n**2 + v*n**4 + g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**4 + 5102*g**3 + 885135*g**2.\nAnswer: 120*g + 30612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j**2 - 3050520*j + 6100940 = 0.\nAnswer: 2, 610094\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j*(j*j\/((j*j**(-18))\/j)*j)\/j))))\/j**(9\/4))\/((j*(j*j\/j**10)\/j*j)\/(j\/j**(-2\/37))))**11 assuming j is positive.\nAnswer: j**(-23111\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.468, -15\/43, 2, 0 in ascending order.\nAnswer: -3.468, -15\/43, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*h + 1135 = -41. What is the lowest common multiple of 20 and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**5\/30 - 7*u**4\/12 - u**3\/2 - 2*u**2 - 9*u. Let v be n(-4). What is the greatest common divisor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 510884 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 11242 + 2490. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.16, -4, 5, -0.5 in decreasing order.\nAnswer: 5, -0.5, -1.16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-5))\/(1914\/(-29))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 2*p - 11, 0 = 2*p + 10. Suppose 11 = 4*v - 3*m, -4*v - 68*m + 29 = -65*m. What is the nearest to a in -0.04, v, -2\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/(-170))\/((4 + (-122)\/30)*3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -631351, -631323, -631293, -631261, -631227, -631191, -631153?\n\"Answer: c**2 + 25*c - 631377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1127026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1239, -1240, -1241, -1242, -1243, -1244?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2146, 4278, 6410, 8542, 10674?\n\"Answer: 2132*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -2911.\nAnswer: -2911.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73999 and 2?\nAnswer: 147998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*b - 29 + 29)*(0 + 0 + 3*b + (0 + 2 - 3)*(2 - 2 - b) + 4*b - b - b) to the form a + n*b + g*b**2 and give g.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 64125*g**2 - 3793644*g + 3729516.\nAnswer: 3*(g - 58)*(g - 1)*(g + 21434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -6. Let y = 42 - 27. Let q = y - k. Which is the smallest value? (a) 0 (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 5:37 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -170.5 + -0.0558308\nAnswer: -170.5558308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4113, -3, 27, 2\/7, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, a: 2, q: 4}. What is prob of picking 2 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(1\/29)*y*y**(3\/5)\/y*y*y**(17\/2)\/y**(8\/13) assuming y is positive.\nAnswer: y**(39397\/3770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 0, -1.\nAnswer: -139, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0, -41, -55, -33, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 + (-22)\/33?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwywwwwwwwwwwwwwp. Give prob of sequence pww.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -16*x + 4*p - 1, -1 = -3*x + 2*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44944 and 34784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6733706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/210)\/((-8)\/(-42)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 4*s**2 + 2. Does 2 divide w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*k + 44*k**3 + k**2 - 35*k**4 + 24*k**4 + 1 + 10*k**4 + 14*k as v*k**3 + h*k**2 + t*k**4 + q*k + x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**4\/4 + 13*j**3\/3 + 15*j**2\/2 - 5*j + 151. Calculate x(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146901\/24 - (-20)\/160 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67476543709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -422 - 443 + 866 + 4*t - 17*t**3. Calculate z(2).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 158 - 2*i + 17*i**2 - 3670 + 90.\nAnswer: 22*i**2 - 2*i - 3738","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 5, s: 2, g: 8, e: 1}. What is prob of picking 1 v and 1 e?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 20 = -4*w, 4*l - 4*w + 164 = 0. Let a be 81\/l*16\/(-6). Solve 19 = 5*q - a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -800, 4, -7.\nAnswer: -800, -7, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82927213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 243.5189\nAnswer: 253.5189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5682*n - 5678*n = -55, -4*w + 2 = n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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 43\/2 of a tonne in kilograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*w + 103*w = -300. Suppose -54 = 3*v - w. Is v a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b**2*m*q - 2*b**2*m + 33*b**2 - 2*b*m*q - b*m + m*q wrt q.\nAnswer: 9*b**2*m - 2*b*m + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 5*t - 5 = 4*w, -3*t = 5*w - 10. Let f(h) = -h**2 + 3*h + 19. Determine f(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293 + -292.9522. Let t = w - -1.1732. Round t to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*s + 508*s - 17 - 15.\nAnswer: -13*s - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97714431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131324 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let m = 4 - 9. Let l = -13667 - -13672. What is the nearest to -1 in v, m, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13018 + -6450. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - q - q + 18218, -2*n - 4*q + 12148 = 0. What are the prime factors of n?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 85, 23 in decreasing order.\nAnswer: 85, 23, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 151 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6300 and 1316?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -65.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 4 - (0 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1657*c**3 - 807*c**3 - 799*c**3 - c**2 + c**2.\nAnswer: 51*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 37\nAnswer: 9\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -109?\nAnswer: 10\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -25. Let y = l - 28. Find the third derivative of -5*g**4 - 57*g**y - 6*g**4 + 50*g**2 wrt g.\nAnswer: -264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((24\/(-44))\/3). Suppose -2*b = 2*b. Let r be (b\/2)\/(-2) - 9. Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(24)\/sqrt(12))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3923*m - 12*m**4 - m**3 + 12*m**4 - 76*m**5 - 3829*m - 9*m**2 wrt m?\nAnswer: -1520*m**3 - 6*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 10. Suppose 4*q - 13 = 5*i, q + j = 5*i + 7. Let u(k) = 4*k - 6*k + q*k - k**2. Let m(c) = -10*c. Determine u(m(d)).\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1560115939 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 4*g. Suppose 5*m = -i + 3*m - 6, -g*m = 4*i + 9. Solve 0 = y + 4*r - 1 - 0, 5*r = i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = 0. Let a = 1\/43 + -277\/817. Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39589 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 3. Let m(y) = 3*y - 8. Let q(x) = 8*k(x) + 3*m(x). Let z be q(0). Suppose -9*b + 60 = 3*b. Solve z = -t + b*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 343, 1\/2, -5 in increasing order.\nAnswer: -5, 1\/2, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-2 + 0\/3). Suppose 4*o + 1 = c*m - 27, 3*o + 9 = 0. Suppose 3*s - 43 = -m*l + 29, 23 = s + l. What is the greatest common divisor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = -210. Let d = b - -98. Calculate the highest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196518 less than 196507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*c = -5*c - 14, 5*n - 25 = 5*c. Solve 3*d = -0 + n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 22. Suppose -4*a - m*a + 1648 = 0. What are the prime factors of a?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.26 - -0.26. Is 2\/17 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59022, -118054, -177098, -236154, -295222, -354302?\nAnswer: -413394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (0 + -6 + 15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 846048*a + 86328108.\nAnswer: -3*(a - 102)*(a + 282118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1100618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y. Suppose y - 9 = -a. Let w = a - 6. Solve 0*r + w*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10031, 10032, 10033, 10034?\n\"Answer: u + 10030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1544*c**4 - 795*c**4 + 2453*c**4)*(4 - 5 - 1).\nAnswer: -6404*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-132)\/20 - (-4)\/1 and (2\/3)\/((-1)\/25).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**8\/168 + y**5\/60 + 23*y**4\/2 + y**2 + 33*y. What is the second derivative of q(t) wrt t?\nAnswer: -40*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 102*d + 213. Let c be v(-2). What is the closest to 2 in c, -46, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6334*t + 203 = 6305*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 + 3706*t**2 - 3706*t**2 + 5*t**3 - 3*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**7\/210 + 3*l**6\/40 + 101*l**3\/6 + 226*l**2. What is the first derivative of u(v) wrt v?\nAnswer: 4*v**3 + 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99177173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46, -0.107, 3, 1\/4, 5, 40, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6433*t**2. Let b(i) = 3070*i**2. Calculate a(b(c)).\nAnswer: 60630381700*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -37*j**3 - 28*j**2 + 58*j - 95. Let c(o) = 14*o**3 + 9*o**2 - 20*o + 32. Let n(w) = 3*b(w) + 8*c(w). Calculate n(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 8 - (9 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -0*c - 2*c, 5*y = 0. Let s be 2 + (-12)\/c + 8. Suppose 0 = 2*a - s + 9. Solve 8 - a = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - 107. Which is the second smallest value? (a) -3 (b) 6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 160 + ((-2)\/(-12) - (-3)\/(-18)). Let d = -111 + a. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*f**3 + 16*f + 17*f - 48*f**2 + 7*f + 29*f - 101*f - 2*f**4.\nAnswer: -2*f*(f + 1)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -401 + -840. Does 4 divide 1*20\/110 + w\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -21*f**5\/4 - 10*f**3\/3 + f**2\/2 - 6*f + 2. Find the second derivative of v(y) wrt y.\nAnswer: -630*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 2*y - 7. Let l be (-5)\/(-15) - 14\/(-3). Let g be k(l). Suppose 0 = 3*f - s - 4*s - 40, -4*f + 3*s + 35 = 0. Solve f*j + g = 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1043833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -97?\nAnswer: 96.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18174.\nAnswer: 2, 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 3*v**2 - 5*v - 2. Suppose 28 = 5*h - 2. Let n = -2 + h. Give f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 + 28*h + 1. Let l(o) = 5*o**2 - 26*o. Let r(a) = 2*l(a) + 3*q(a). Let f be r(16). Solve -3 = w - u + f, -4*w - 20 = -3*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 58. Let d = 126 - k. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1240)\/1116)\/((-12)\/54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(2*sqrt(468)*2 + sqrt(468) - sqrt(468))*-2*-1*5.\nAnswer: -1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-525))\/((-5)\/(50\/(-4)))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + m + 3*m**2)*(-2*m + 7*m + m) - 2*m**3 - 2 - 1 + 13 as f*m**3 + w*m**2 + u + a*m and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/7 or -13?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11127*v - 3388*v + 6473*v = -1435412 for v.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 - (3019 - 3025)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + -9 + (3 - -9). Suppose -74673 - 33699 = -z*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 3*d**2 + 2*d**2 + (1 + d - 1)*(-2*d + 1 - 1) - 5 - 10 + d**2 + 6)*(1 - 1 - 1).\nAnswer: 3*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -107 * 3031044\nAnswer: -324321708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9332 is divided by 516?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, -4, 164 in decreasing order.\nAnswer: 164, 148, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 + 2 + -1. Let x(u) = -2*u + 2. Let p(k) = k - 2. Let d(n) = -3*p(n) - 2*x(n). What are the prime factors of d(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -4, -18 in decreasing order.\nAnswer: 0, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**3 + 56421*c**2 - 676365*c - 4792725 = 0.\nAnswer: -5, 17, 18795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 9:40 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3\/((-3)\/(-72)*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 26. Let q(r) be the third derivative of r**5\/60 - 13*r**4\/24 + 5*r**3\/6 + 78*r**2. What is the smallest common multiple of q(c) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.4 (b) 1\/2 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 86, 164, 284, 452, 674, 956?\nAnswer: 1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344038 and 6802.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4 - 2 + d - 1. Let w = 25 + -20. Calculate t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b + 60. Let i be y(-7). Solve i*h = 3*v + 3*h - 17, 0 = -2*v + h + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 - 837 = -83*m + 702. What is the remainder when 2564 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/137179603 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000686443 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*q**2 + 778*q**2 + 2687*q**2.\nAnswer: 3639*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + b)*(-28*b**3 - 11*b**3 - 13*b**3).\nAnswer: -52*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -3*y**4\/4 - 83*y**3 - 5289*y**2\/2 - 5043*y - 4028. Let x(d) = 0. Calculate d.\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -92*k - 1. Let d be m(-1). Let o be ((8169\/(-35))\/3)\/(4\/5). Let w = d + o. Find the common denominator of w and -151\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5875 and 4794470?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7488 = -60796*d + 60220*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 11. List the prime factors of x(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27264866 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 105 = -3*f. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30608 + 30610 + 7*j**3 + 154*j - 8*j**3 + (-5 + 3 + 0)*(-4 + j**3 + 4) + 22*j - 2*j**3 - 22*j as k + o*j + x*j**2 + f*j**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**4 + h**4 + 0*h**4)*((14 + 42 - 20)*(1 - 5 + 2) + 1 + 5 - 2 + (-2 + 3 - 2)*(3 + 3 - 8)) to r*h**2 + t*h**3 + g*h**4 + y*h + i and give g.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 8. Let s be d(3). Let y be (-33)\/22*(1 + s). Solve -3*l - y*x + 8 = -2*x, -4*l - 2*x + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0462673 rounded to three decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - s = 12*z + 5, 23 = 5*z - 3*s. Put 11, 31, z in decreasing order.\nAnswer: 31, 11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(810\/(-24))*(-12)\/(-8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 44*p**2 - 92*p + 36. What is the remainder when 935 is divided by f(-46)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(7\/(7\/(-2))). Let p(m) = 25*m + a*m + 26*m + 24*m - 113*m - 2. Let v(x) = x + 1. Let j = 1 - 0. Calculate j*p(z) + 4*v(z).\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 61*v**2 - 822*v - 52. Determine i(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32199836*12\nAnswer: 386398032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 + 1 = -3*a. Let w be 0 - a - (-4 - -3). What is the highest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*a - 13 = 40 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -15*k**2 + 5*k + 11. Let z(y) = 5*y**2 - 2*y - 4. Let j(f) = 4*l(f) + 11*z(f). Find the second derivative of j(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d + 12*d + 9*d + 13*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87714?\nAnswer: 2, 3, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*y**4 - 7 + 8 + 0*y**4 with respect to y.\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33677678 or 33677684?\nAnswer: 33677684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1890)\/252)\/((-6)\/20).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**2 + 1061*u**3 - 2*u**2 - 1034*u**3 wrt u.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -667*r**7\/210 + r**5\/10 - 7*r**4\/12 + 310*r**2. What is the third derivative of t(f) wrt f?\nAnswer: -16008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.87 or -6?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-18 - 7 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1693014 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 - n. Let d = -7 + 13. Let k(p) = 8 - 8 + d*p**2 + p. Let h(w) = -5*k(w) - 7*q(w). What is the second derivative of h(i) wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192\/5*o**2 - 26\/5*o**3 - 288\/5*o + 0 + o**4 + 1\/5*o**5.\nAnswer: o*(o - 6)*(o + 3)*(o + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3 = 9. Suppose 48 = 6*v + 30. Solve v*o = 3*b - 3, -b = 4*o - j*b - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5549051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254012.\nAnswer: 2, 11, 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or 182406?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3929225*c**3 + 2538*c**4 - 428*c**2 - 3929225*c**3 - 2*c wrt c.\nAnswer: 60912*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 177*j**2 + 17*j + 157. Let o(r) = 79*r**2 + 8*r + 78. What is -9*o(u) + 4*w(u)?\nAnswer: -3*u**2 - 4*u - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 13*h**2 - h - 60. Determine r(-13).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/4 + 16595*t**2\/2 + 68840208*t - 137713608 = 0. Calculate t.\nAnswer: -16596, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30928 and 8826078.\nAnswer: 70608624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -100. Solve w*f - 3 + 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3863*u - 2772*u + 88371 for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 2, 0, 2\/23, -6\/29?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12360 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 95, -5, -26, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4 - 2*h**2 - 3*h**2 - h**2 + 3*h**2 + 4*h. Let x(t) = -t**2 + 2*t - 2. Determine 2*u(w) - 5*x(w).\nAnswer: -w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11405, 22629, 33687, 44579?\nAnswer: 55305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, 186, -3\/2, 2 in decreasing order.\nAnswer: 186, 5, 2, -0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 2, r: 1}. Give prob of sequence wwr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382664, 765322, 1147978, 1530632, 1913284?\nAnswer: 2295934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7662, -7605, -7548, -7491, -7434?\n\"Answer: 57*p - 7719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5\/2*z + 1\/4*z**2 + 25\/4 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46 - -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 40*t + 122. What is the tens digit of z(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7959 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -1)\/1*494\/(-13).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36665*n*p**3 - 85702*n*p**2 wrt p?\nAnswer: -219990*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from ppppppppvpppvpv?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00833 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5399*b = 5754*b + 13135 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) 2 (c) 102.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14220626 + 14220612.500099. Let q = h + 13.5. Round q to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*u - 2*k, 60*u - 20 = 59*u - 9*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -33. Sort -5, g, 7 in descending order.\nAnswer: 7, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 20*p + 274. Let u be q(-13). Solve -3*i + 2*i + 4*s - 18 = 0, i = 3*s - u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and 0.1764.\nAnswer: 0.1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589 (base 11) to base 10.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/21)\/(-4 + 1 + 2). Sort 1\/4, -0.1, x.\nAnswer: x, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18549328 to the nearest integer?\nAnswer: 4307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/16*(-600)\/(-750)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 + 12*s**2 - 38*s - 2. Let a be x(-6). Solve -a*c = -105*c - 380 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 4*g**2 + 5. Let s be p(-4). Suppose -2*o = -s*o. Suppose o = 3*x - 27 + 3. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12372 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132463 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668725.\nAnswer: 5, 23, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1501, 1592, 1683?\nAnswer: 1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (370\/(-90) - -4)\/(25\/(-10))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.022 and -1177933?\nAnswer: -25914.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) - (sqrt(3) + sqrt(3) + 1 - sqrt(3))) + sqrt(30)\/(sqrt(20)\/sqrt(2)).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 9:38 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1772 = -5*b - 4*d, -964 - 86 = -3*b + 2*d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-6*(sqrt(33)\/sqrt(3) + sqrt(11)) + sqrt(11))*-5 + -1*(sqrt(55)\/(sqrt(5)*3))**2).\nAnswer: -220*sqrt(11) + 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*l, -5*k = -10*k - l - 3*l + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = 0. Suppose 2*w - 4 = l, -2*w - 58 = -4*o + 3*w. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 3, 8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2688)\/3528 + 3\/7\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(6)\/(1*sqrt(2)))**2*-5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0054 or 1571?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/12 + m**3 - 2*m**2. What is the derivative of i(v) wrt v?\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 734, -1, 25, 0.07, -0.3, 0 in ascending order.\nAnswer: -1, -0.3, 0, 0.07, 25, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 + 9*v - 4. Let t be i(6). Suppose 4*n = -5*d + 786, 2*d - 474 = -d - 3*n. Calculate the greatest common divisor of d and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*a - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3266674111?\nAnswer: 2609, 1252079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2026?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 0*h + h)*(0 + 3 - 1) - h - h + 5*h + 299*h + 1 - 1 + 651*h.\nAnswer: 949*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -738531, -1477060, -2215587, -2954112, -3692635?\n\"Answer: g**2 - 738532*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -860 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2522473872 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:28 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*l**3*w**2 - 103*l**2*w - 2*l**2 + 12*l*w**2 + 325*l + 2*w wrt l.\nAnswer: -1014*l*w**2 - 206*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46885, 187551, 421995, 750217, 1172217?\n\"Answer: 46889*j**2 - j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637727 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + 2*(-2 + 3 + (sqrt(117)*-2*-6 - sqrt(117)))*4.\nAnswer: 3 + 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 191529714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c\/(c**10\/c)))*c**3*(c*((c\/(c\/(c\/(c**(-8)*c))))\/c)\/c)\/c**(-2))**(5\/3) assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36473446?\nAnswer: 2, 23, 59, 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 14*n + 7. Let m be d(2). Suppose -5*x + m + 115 = 0. What is the smallest common multiple of 3 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*p + 3 = 28, 3*p + 15 = 5*u. Solve 5*a + 5 = -u*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000202 - -3300110?\nAnswer: 2233302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2)\/u)**(-25))**(-3\/4)\/((u**(-1)*u)**35\/((u*(u**(-6)\/u)\/u)\/(u**(-3\/2)\/u))) assuming u is positive.\nAnswer: u**(-261\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1216) + 0) + 0 - (-1*(sqrt(1216) + 0) + (sqrt(1216) - (sqrt(1216) + -1) - sqrt(1216)) + -3))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {z: 3, n: 5, g: 4, w: 4, b: 3, p: 1}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let k(y) be the third derivative of -y**4\/8 + y**3\/6 - 27*y**2. Calculate k(q(g)).\nAnswer: -6*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 1. Calculate o(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77469 a multiple of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.049 + -90.049. Which is the third biggest value? (a) -0.2 (b) -4 (c) 5 (d) 0.2 (e) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:52 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 1. Let a be s(-4). Let p(o) = -a*o - 3*o**2 + 2*o**2 + 3 - 3 - 2. Give p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 4. Suppose -5*a + 0*a - 2*g + 33 = 0, -3*a + 20 = g. Let s be v(a). Solve -14 = 5*i - s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 + 15358*w**4\/3 - 282250*w**3 - 3565210*w**2 + 19576676*w\/3 - 2683216 = 0 for w.\nAnswer: -12, 2\/3, 1, 67, 2503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*u - 6*c + 555, -2*u - 233 = c. Let h = 146 + u. Suppose 54 = 35*o - h*o. What is the greatest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 103\/312336?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*(sqrt(833) + sqrt(833) + 4 + 2*sqrt(833) + -1) - (4 + (sqrt(833)*2 - sqrt(833)) + sqrt(833) + 3 + 3))**2.\nAnswer: -196*sqrt(17) + 3382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = o - 4*j, -3*o - 2*j + 60 = -j. What is the remainder when o is divided by (3\/9)\/(17\/204)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93746429*f + 46873223*f + 46873211*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v - 2 + 0 + 2 to the form u*v + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -21, 15, -1, 4 in increasing order.\nAnswer: -21, -1, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-94)\/(-48)*-1 + 2. Let z = o + -61\/312. Let x be 4\/(-28) - (-2)\/(-7). Which is the second smallest value? (a) z (b) 1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -54, -84, -94, -66, 18, 176, 426?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 497, 1, -1, -43004 in decreasing order.\nAnswer: 497, 1, -1, -4, -43004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/21 (b) -1\/9 (c) 1126 (d) -3 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 + 64*o - 634*o + 3*o**3 + o**3.\nAnswer: 11*o**3 - 570*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6*k - 15. Solve -5*y + 4*y - 10 = -k*q, -15 = -5*q + 2*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -2*n**4\/3 - n**3 + 9040*n**2. Let c(o) = 11*o + 4. Determine 8*c(m) + 5*s(m).\nAnswer: 8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 55 = -14. Let k(w) = -7*w**2 + w + 2. Let r be k(-2). Let f = r + j. Round f to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s + 43*s + 10*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -13. Sort 4, 5, h in descending order.\nAnswer: 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1575 + 786 - 3360*q + 789 to the form u*q + t and give u.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702*b = -689*b - 1534. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207 - -223. Suppose d = c - 14. What is the lowest common multiple of 208 and d?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 6*w - 3*w + (-2*w - 2*w + 3*w)*(11 + 8 - 7))*(126*w**4 - 28*w**4 + 29*w**4).\nAnswer: -1651*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (198\/(-81))\/(-11)*1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2. Suppose 7*b - 41 = -6. Let v(h) = b*h - 2*h + 3*h - 8*h. What is c(v(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 - 50*a + 50*a + 21)*(6*a**2 - 2*a**2 - 2*a**2) to the form v*a + k + z*a**4 + u*a**2 + f*a**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 1, r: 5, q: 1, x: 1}. Give prob of picking 1 y and 1 r.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -a?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 4176.\nAnswer: 45936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16*o. Let v(l) = l. Let a(n) = 17*n**2 + 6*n - 5. Let q be a(3). Let c be q*(2\/4 - 0)\/1. Suppose 0 = -5*t + c + 57. Give t*v(i) - 2*w(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 11892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 58 = 2*u + 34, u - 3*h - 27 = 0. Let a(d) = -13*d + 11. Let s(m) = -6*m + 6. Calculate u*s(t) - 4*a(t).\nAnswer: -2*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -101, -325, -699, -1235, -1945, -2841, -3935, -5239?\n\"Answer: -2*x**3 - 63*x**2 - 21*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**5*r))\/(r*r**(-4)))**(-2\/57) assuming r is positive.\nAnswer: r**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 31 = -2*b - 3*s, -3 = b - 4*s. Let f = 4 - 2. Suppose -f*l + b = -3. What is the biggest value in -1\/3, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1 - 90\/(-63))\/((-804)\/(-469))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(15\/9 + -2). Let p(l) = -1 - 9*l**2 + s + 5*l**2. Let z(j) be the third derivative of j**4\/24 - j**2. What is z(p(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - j + 3. Let g be o(3). Let a(y) = -7*y**3 - y**2 - 4*y - 1. Let l be a(-2). Let p = l - g. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 2*b - 2. Let t be z(-3). Suppose 7 = -x + t. Is 23 + 4*(-3)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2399957\/100698 - 2\/16783. What is the common denominator of k and -68\/39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 2 - (-2 - 216) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4692 + -6.\nAnswer: -4698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - 0. Let j = 13.7 - 13. Let x = j + c. Put -0.5, x, 0 in decreasing order.\nAnswer: x, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*a + 15*a + 39*a - 333. Let b(v) be the first derivative of -11\/3*v**3 + 4*v + 0*v**2 - a. Differentiate b(r) wrt r.\nAnswer: -22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j = 204, 2*q + 292*j + 12 = 288*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 2:08 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77300999, -77300998, -77300997, -77300996, -77300995, -77300994?\n\"Answer: f - 77301000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 8 - 2 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36038836540.9999363 - -36038838109. Let q = u + -1568. What is q rounded to six decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1000956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*(sqrt(13) + (sqrt(52) - sqrt(13)) + -1))**2 + 2)*-3.\nAnswer: -1425 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14680, 29519, 44350, 59173, 73988?\n\"Answer: -4*c**2 + 14851*c - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22217511*g**2 - g - 672211304.\nAnswer: -44435022*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136137 is divided by 4862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1103 + -1062. Which is greater: 202\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(3\/34))\/w)\/(w*(w**(-3\/17)*w)\/w))\/((w*w**(9\/4))\/w**(-27)))**7 assuming w is positive.\nAnswer: w**(-14749\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nknkknnkknnn. Give prob of picking 3 k and 1 n.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26202771?\nAnswer: 3, 7, 37, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12683 is divided by (168\/30)\/(2*(-2)\/(-20))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/2 - 2820*l**3 - 1988097*l**2 - 622935180*l - 146389104603\/2.\nAnswer: -3*(l + 469)**2*(l + 471)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.5 + -18. Which is the second biggest value? (a) -4\/3 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 11*m**2 + 10*m - 11. Let n be i(10). Let p = n + 16. Suppose 0 = 4*f + p*h - 29, 3*f - 3*h + h = 16. Solve 0*r - f = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -30, 5 in ascending order.\nAnswer: -30, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 964, 847, 728, 607, 484, 359?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34181219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1358*r*z**2 + 12*r*z + 311*r + 2*z**2 + 50763*z + 1065 wrt r?\nAnswer: 1358*z**2 + 12*z + 311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1299, -2431, -3471, -4407, -5227, -5919, -6471?\nAnswer: -6871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 248.111 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 0 + 33 + 2*u**2 + 3 - 2*u. Suppose 3*z = 5*z. What is the remainder when v(z) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/(-10))\/(-3 + 1). Suppose 3*v + k*v - 20 = 0. Let i be 9*v\/6 + -2. Solve -5*g + 34 - 3 = -3*n, 3*n = -i*g + 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180788 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/244720 and 47\/350?\nAnswer: 1223600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:30 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15375 or -13609?\nAnswer: -13609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 11, j: 2, e: 2}. Give prob of picking 1 a and 1 s.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -816167.84 to the nearest 100.\nAnswer: -816200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.5 + -6.5. Let h be -1 - 2*10\/(-4). Let k = -0.09 + -4.91. Which is the closest to 0? (a) k (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y - 344. Determine a(54).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -101\/9. Let n = -1134\/65 - -88\/5. Which is bigger: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 3*k + 3. Let q be p(-2). Does -10 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 4*g**2 - 4*g - 5. Let m be w(-3). Let k be 0 + (-4 - 1 - m). Suppose 6 = -0*z + 2*z. Put k, 1, z in ascending order.\nAnswer: k, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/161 and 12\/575.\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433761543?\nAnswer: 3, 47, 151, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 3*l - 3*l)*(8 - 2*l**2 + 18 + 67).\nAnswer: 4*l**5 - 186*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.42001847 - 23.42. What is z rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*x - 6810, -x = 3*x - 12. Suppose 4*w = 2*p - 896, -4*p + m = p - 3*w. Suppose 410 = 4*o - p. What is the highest common factor of 31 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*u + 101248 = 101252, -q - 1 = 2*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26963647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o. Suppose -4*t = -4*a + 600, -38 + 28 = -2*t. Let b(w) = -89*w - 103*w + a*w. Determine z(b(x)).\nAnswer: 74*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 1.2. What is the nearest to r in -0.1, 2\/3, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -4*q, i - 1 = 3*q - 4*q. Calculate the remainder when -1 + (-118)\/i - 2 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, h: 2, l: 1, y: 3, e: 1}. Give prob of sequence ey.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from emk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 771 = -767 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7345663 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**(-5))**(-19)*f**(2\/5)*f*f\/f**8*f)**13 assuming f is positive.\nAnswer: f**(2171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18488352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 36. Let i = 41 - c. Let n be (16101 - -4) + i + -4. Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 67*l - 1033. What is m(16)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(sqrt(1900) + 1) + sqrt(190)\/(2*sqrt(160))).\nAnswer: 36 + 1443*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 13) to base 3\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 181196 and 19614?\nAnswer: 3805116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 8*d + 8*d)*(2 + 1 - 5) + (-3 + 3 + 2*d)*(2*d + 0 + 0) + 0*d**2 + 2*d**2 + 4*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34.9 + 34.901549. What is r rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.2. Let z = s + -0.1. Let t = 5.5 - 0.5. What is the biggest value in -1\/2, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5665*t**2 + 0 - 2 + t - 5662*t**2 + 1. Let l(a) = -a**2 - 1. Calculate 2*l(c) + v(c).\nAnswer: c**2 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 229, 453, 677, 901?\n\"Answer: 224*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9571561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -241086 + 0?\nAnswer: -241086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*c + 5*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvdlvdllkdvv. What is prob of picking 1 v and 3 d?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13403114 + -4?\nAnswer: -13403123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 857 - -439. Is g >= 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - u**2 + u**2)*(1266 - 80*u + 152*u - 1264).\nAnswer: 216*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -938?\nAnswer: 11\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 - 2*x - 6. Let g be (-24)\/9*(-6)\/8. Let m(j) = 2 + j**2 - j - 1 - g + 0*j. Let v(p) = a(p) - 2*m(p). Find the first derivative of v(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldwywlldcd. Give prob of sequence dw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (420\/100)\/(27\/15)*7.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 10*h + 8. Let l be c(9). Let u be l*6*6\/9. Let i(x) = -2*x. Calculate i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6935 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20083 is divided by 126?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15*c**2 - 707*c - 303. Calculate p(-45).\nAnswer: 1137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 6. Let d be m(7). Is 9 a factor of d\/(8\/9 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 + -1 - (5 - 5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16)*x*x)\/(x**8\/x)*(x*x\/(x\/(x\/(x\/(x\/x**(2\/35)*x)))))**(-3\/26) assuming x is positive.\nAnswer: x**(-19419\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21819.6261s?\nAnswer: 0.25254196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 11. Let x(v) = -v + 11. Let u(o) = 5*t(o) - 6*x(o). Let f be (-10)\/1*(-6)\/12. Determine u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -207*h**3 - 38 - 443*h**3 + 264 - 704*h**3 wrt h.\nAnswer: -4062*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y + 18*y + 15*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + b**2 - 5*b - 5. Let z be (-2)\/((-2)\/3) - 1. Let w(u) = 6 + 5*u**3 + u**2 - z*u**2 + 6*u - u**3. Let n(m) = 5*q(m) + 4*w(m). Factor n(x).\nAnswer: (x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2. Let f(j) = -5*j + 10 + 8*j + 2 + 2*j. Determine y(f(m)).\nAnswer: 25*m**2 + 120*m + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*u + 424*u = 5*t + 9, 4*u - 15 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b - 40. Let x be z(6). Suppose 0 = -x*u + 4, 0*h = h + 2*u - 180. 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: Calculate 2 - (3 + (4 - (7 - 0))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**4\/24 - 5*d**3\/3 + 22*d**2. Let i be s(-13). Suppose 3*u - i*g - 777 = 0, -5*u + 1324 = 5*g + 49. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2. Let u(a) = -a**2 + 6*a - 3. Let c be u(5). Let x(n) = 2*n - 2. Let j be x(2). Let y(k) = j - c + 2*k**2. Determine y(l(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 7\/2, 0.13, 1\/3 in increasing order.\nAnswer: -2\/17, 0.13, 1\/3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cc297 (base 15) in base 7?\nAnswer: -14652601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ths when three letters picked without replacement from hsst.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2462688 and 143\/1641792.\nAnswer: 4925376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 + 10*n**3 + 27*n**2 - 36*n = 0. What is n?\nAnswer: -3, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 15966 and -5.\nAnswer: 15961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*w + 318*w - 157*w)*(2 + w + 0*w + 0).\nAnswer: 74*w**2 + 148*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 181, 273, 383, 505, 633, 761, 883?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*g + 48 = 2*c, 0 = 3*c - 4*g - 72. Suppose 5*o + 3 = 13. What is the remainder when ((-115)\/10)\/(o\/(-8)) is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2432)\/sqrt(2)*5 + -5 + -4.\nAnswer: -9 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91864191 to the nearest integer?\nAnswer: 9585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700*u**3 - 692*u**3 - 5021385*u + 5021381*u.\nAnswer: 8*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -29. Let d(s) = s**3 - 8*s**2 - 2*s + 15. Let f be d(c). Let k(m) = -5*m - 1. Determine k(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -42*x - 35. Let v(o) = -154*o - 106. Let h(y) = 7*b(y) - 2*v(y). Give h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(9\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.974 * 4273.3.\nAnswer: -16982.0942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = -2*w - 3*t, -2*t = 4*w - 20. Suppose w*n - 61 = 9. Let p = n + 112. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) -3 (c) 933\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 4*n + 2*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2150*r - 2*r**2 + 2150*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**2\/5 - 16*z = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - ((17 - 77) + -24)) + -27.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 211168429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94530 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*h - 39 - 3, 3*h = q - 23. What is the smallest common multiple of q and 444?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709*z - 994*z + 442*z.\nAnswer: -1261*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3431813600?\nAnswer: 2, 5, 29, 53, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 183774 + -3b?\nAnswer: 183738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + sqrt(468)*2)*5 + (sqrt(468) - (-3 + (sqrt(468)*-1 - sqrt(468))) - sqrt(468)) + (sqrt(468) + 1 - sqrt(468)) + -3)**2.\nAnswer: -58176*sqrt(13) + 1088473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79900646.11078 + -15.\nAnswer: 79900631.11078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 53?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -3*o**5\/80 - 159*o**4\/16 - 78*o**3 - 465*o**2\/2 - 13*o + 14. Factor m(f).\nAnswer: -3*(f + 2)**2*(f + 155)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -541, -0.3, 3\/4, 1, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96726.85 hours in milliseconds?\nAnswer: 348216660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017471763 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -35. Let f(l) = -b + 8*l**2 + 22. Let o(t) = -t**2 - 4*t + 4. Let z(d) = d**2 + 5*d - 5. Let g(q) = 5*o(q) + 4*z(q). Determine g(f(n)).\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 3*d**2 - 7*d - 18. Let u be f(-3). Determine z, given that -15*z**2 + 10*z**u + 5*z**3 - 3*z**3 = 0.\nAnswer: 0, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1\/(-3))\/(62\/(-558))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 3599*x**6\/120 - 7*x**5\/60 - x**4\/8 + 35*x**3\/6 - 44*x**2. Let u be s(-5). What is u rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 2*u**2. Let y be t(-2). Suppose y = 2*k + k + 132. Is 13 a factor of 2\/8 + (-1661)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*j - 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0) + -14*70\/(-20). Let j be t\/(-14)*(-16)\/28. Solve 0 = j*b - b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2. Let p(n) = -5*n + 5. Let x(g) = -5*g + 4. Let c(h) = 4*p(h) - 5*x(h). What is c(w(k))?\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(320)*-1)*3)\/(-1*sqrt(1210) + sqrt(1210) + sqrt(1210)) + (-3 + 4*(sqrt(2450) + -1))**2.\nAnswer: -21536*sqrt(2)\/11 + 39249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 302. Suppose 0 = -v*z + 294*z + 24. Factor -3\/7*c**z + 0 - 9\/7*c - 12\/7*c**2.\nAnswer: -3*c*(c + 1)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 13. Let w be j(6). Let z(h) = 50*h**2 - h - 2. What is the units digit of z(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 83*j**3\/3 + 11*j**2\/2 + 5*j - 2420. Let y(l) = 28*l**2 + 4*l + 2. Calculate 4*b(w) - 11*y(w).\nAnswer: 24*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2614 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.41 take away 1128.136?\nAnswer: -1122.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3319 + 657 = -242*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 1980 (c) -0.4 (d) 0.2 (e) -11 (f) 0.5 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 543635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 34. Calculate the smallest common multiple of h and 2 + (-2 - -10) - 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**2 - 10*i + 4. Let u(z) = -z. Let l(t) = -k(t) + 6*u(t). Determine m, given that l(m) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/5, 1, 0.029, 2\/11, -3\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/4 - 187*-1. Suppose 0 = 3*p + p - u. Does 9 divide p - (-1 + 7)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 0*f**3 - 3*f**3)*((6 - 2 - 1)*(1 + 2 - 4) + 3 + 0 + 3 + 0 - 4 + 6).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g - 16. Let v(i) = -6*i + 13. Suppose 52 = 4*k + 32. Let c(a) = k*v(a) + 4*n(a). Let m(u) = 3*u**2. Give c(m(z)).\nAnswer: -6*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.004 or 2.50771?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (188\/(-6))\/((-4)\/6). Suppose 2*s = -0*s - 4. What is the remainder when (2 + -4)\/(s\/m) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -5*l, -2*l + 3*z = -3*l - 12. Suppose l*x + 5 = x. Suppose 9 = -x*t - 6, 0 = 3*b - t - 27. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2994032, -5987988, -8981944, -11975900, -14969856, -17963812?\nAnswer: -20957768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 47 - 83 + 39 = 0, n - 5*n - 4*b - 20 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 23*l**2 + 10*l - 9. Let z be g(-11). Find the third derivative of -5*o**3 + 14*o**5 + 63 + 2*o**2 - 79 + 62 - z*o**3 wrt o.\nAnswer: 840*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324035 is divided by 4376?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5243, 424.\nAnswer: -3, -2, 424, 5243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -261806, -523609, -785412, -1047215, -1309018?\n\"Answer: -261803*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13) + -1 + -1.\nAnswer: -2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) 2\/7 (c) -0.2 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -201.6 (c) -236\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3407983 is divided by 797?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(1568\/60) - 7\/49.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -171. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**7\/30 - 14*c**5\/15 - 829*c**3\/6 - 659*c**2. Find the first derivative of r(v) wrt v.\nAnswer: 28*v**3 - 112*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(869\/(-87) + 10)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -4?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1240968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -2*d**5\/85 + d**4\/17 + 2*d**3\/17 - 4*d**2\/17 - 8*d\/17 + 15. Determine y so that v(y) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 52 (b) 1.1409 (c) -0.5 (d) 4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5447690249 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 24, -2, -1\/3, -20511, -5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -109*m - 5. Let p be ((-6)\/(-12) + 2\/(-20))*-5. Does 15 divide t(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 13. Let s(k) = 71*k. Is s(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 126*o - 123*o + 41 = 0, 0 = o - 5. What is the greatest common divisor of 2170 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210021110 - 11?\nAnswer: -1210021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**2\/2 + f - 6. Let p be b(-1). Suppose 60 = 2*c - c + 5*r, -p*c + 120 = 3*r. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**2\/2 + 1. Suppose 3*o = -0*o + 15. Let t be r(o). Solve -x + 10 = 3*x + 2*h, -t*x = 4*h - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176825 is divided by 4210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1*c*c)**47*(c\/c**(-1))**(-2\/57))**(-20))**(1\/19) assuming c is positive.\nAnswer: c**(-160660\/1083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358*y**5 - 8*y**4 - 8*y**2 - 2*y - 27200 wrt y.\nAnswer: 7160*y**3 - 96*y**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*o + 36336 - 138900. What are the prime factors of o?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 272 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 727*c**3 - 12*c**2 + 25424 wrt c?\nAnswer: 2181*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 6*c + 7. Let s be q(6). Let a = 3 - s. Let t be 10\/4 + -3*(-10)\/(-60). Put -5, a, t in ascending order.\nAnswer: -5, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 469238 and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/3 - 10493*f**3\/3 + 1123815*f**2 - 118772325*f + 4170537000 = 0. What is f?\nAnswer: -10808, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*k**5 + 1552*k**4 + 2226*k**3 - 1406*k**2 + 188*k = 0. What is k?\nAnswer: -47, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -24. Calculate the lowest common multiple of 2 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 25*z - 195. Let y = 207 + -199. Let u be g(y). Solve -u*v = 3*d + 27, -2*d - 23 = -0*d + 5*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 7*n**4 - 1458 + 1459 + 0*n**4 to u + f*n**4 + h*n + d*n**2 + a*n**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 9:36 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*u**2*v - 19766*d*u + 66577*u**2*v - u**2 + 2 wrt v.\nAnswer: -2*d*u**2 + 66577*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from xtatrox.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 1, i: 5, f: 7, r: 2}. Give prob of sequence cfd.\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/12)\/m*m*m**(-1\/16)\/m)\/(m**(-2\/7))**50)**(-2\/111) assuming m is positive.\nAnswer: m**(-4471\/18648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61*r + 116*r - 65*r)*(1 + 2 - 2) + r + r + 3*r as f + t*r and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291*s**6 + 3*s**2 + 93?\nAnswer: 34920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -816, -2874, -6902, -13554?\nAnswer: -23484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -2 + 1 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*p**4*y - 45232*p**4 - 5*p**2*y - 4*p*y - 6*y - 4103 wrt p?\nAnswer: -384*p*y - 1085568*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -97032*r + 11546804. Determine i(119).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37583\/980 + -40)\/((-3)\/4).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9508 rounded to 2 decimal places?\nAnswer: -3.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4910263?\nAnswer: 17, 288839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*a**6 - 4*a**5 + 14*a**4 - a**2 + 17414*a?\nAnswer: 2760*a**3 - 240*a**2 + 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 + 3*q**3 - 2*q**4 + (-7 - 26*q + 7)*(22*q**2 - 22*q**2 + 28*q**3) to the form w*q**3 + u*q**4 + i*q**2 + b*q + t and give u.\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/15 - (-13)\/3. Solve -3*h - w + 2*w = i, -4*w = 4*h - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-14*(-10)\/20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t\/(t*((t\/(t**27*t*t))\/t)\/t)))*t))\/(t*t**22)*(t*t**(14\/9)\/t)**(-3\/10) assuming t is positive.\nAnswer: t**(-802\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2\/6 + 4051*s\/6 - 2027 = 0.\nAnswer: -4054, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -505736 (base 11) in base 4?\nAnswer: -3012123330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6.946. Let f = 1.81 + -1.764. Let q = d + f. What is the smallest value in -2\/7, -8, 0.2, q?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h**2 + 0*h - 120 + 21\/44*h**4 - 3\/11*h**3 + 1\/22*h**6 + 17\/55*h**5. Factor u(p).\nAnswer: p**2*(p + 3)**2*(3*p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v - 135. Calculate the remainder when 14 - ((1 - 0) + 0) is divided by p(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 23230 - 6632 = 0. What are the prime factors of k?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16769561503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*j + 34 - 43, -j + 3*c + 11 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74975.65ms to nanoseconds.\nAnswer: 74975650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q - 100 = 0. Let m = q + 32. Suppose 4*x = 16 - m. Solve -5*u - 4*o - 2 = -6, o = -3*u + x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose 4*w = -5*c + 20, 4*c - 16 = -w - t*w. Suppose 3*j = -c*k + 21, j - 3*j + 14 = -5*k. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9324)\/(-2664)*(-4)\/(-26).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-108)\/45)\/((-2)\/10). Suppose 3*h - 3*k - p = 0, 4*h + 6*k = k + 34. What is the second smallest value in -0.5, h, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 29*u = -a - 19520, -a + 2*u - 19514 = 0. What is a rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*y = -6159244 - 2475969. List the prime factors of y.\nAnswer: 37061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87271\/102 + -855. Find the common denominator of -19\/69 and n.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1278343980.5 to the nearest 1000000.\nAnswer: -1278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**5\/60 - h**4\/24 + h**3\/2 - 2*h**2. Let g be v(-3). Let x(n) = n**2 + 3*n + 1. Determine x(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 21*k**3 - 11*k**2 - 11*k. Let w(y) be the first derivative of y**4 - 2*y**3\/3 - y**2 - 36. What is -4*c(r) + 22*w(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 = -26. Calculate the remainder when 0 - (n + 0 + 0) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (-8 + 14 + -2). Solve 6*n - 1 = -d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-13)\/14)\/13)\/(3\/12)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481386038 to the power of 1\/3, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, 441\/22, -0.42?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*v + 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1570872 != -1570868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4416*x**4 - 2*x**3 + 4223*x**4 - 450 + 2*x**3 wrt x.\nAnswer: -772*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 244 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-362)\/66)\/((-104)\/16). Let r = 38\/33 - i. Which is the closest to -0.2? (a) 2\/9 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/2))**(-1\/32)*b*b**(5\/2)*b*b*b\/(b\/(b*b*(b\/((b**3\/b)\/b))\/b)) assuming b is positive.\nAnswer: b**(413\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 298263 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-105) - 18\/45.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 170186.\nAnswer: -170185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -84787.\nAnswer: 66\/84787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elylpplellelp. Give prob of picking 1 p and 3 e.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -6. Let c = 2.3 + -1.4. Let v = c - -3.1. Put v, m, 0 in ascending order.\nAnswer: m, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84)\/sqrt(4) + sqrt(21))*2)\/(-2*(sqrt(7) - 6*1*sqrt(7))).\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y + 20. Let c = 7 + y. Suppose c*w = 29 - 8. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 108. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8 - 2*c**3 + 23 + 15*c**4 - 8 wrt c?\nAnswer: 60*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459577685 rounded to the nearest 1000000?\nAnswer: 460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -3)*(-5 + 0). Suppose -c = 5*t - 3*c - 109, -3*c = s*t - 124. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 7*m**2 + 7*m + 1. Let g be n(-6). Let y(w) = 9*w + 308. Let d be y(-34). Sort 250, d, g in decreasing order.\nAnswer: 250, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 555465784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 1. Let j = 26 - 28. Calculate b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**4\/12 - p**3\/6 - p**2 - 4*p. Calculate the smallest common multiple of 10 and o(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.090932433 and -3114461.\nAnswer: -3114460.909067567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64288581*t**2 - 64288603*t**2 + 128577186*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/5 + 2*m**3\/3 + 8*m**2. What is the first derivative of s(r) wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose 0 = -x*i + 5*k + 9, 6*i - 4*i + 4*k = -16. Let l be (10 + -5)*i\/(-5). Solve l*a - 3 = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 970, 982, 1008, 1054, 1126, 1230?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 3*g**2 + 2*g + 1. Let m = 9 + -7. Let n be u(m). What is the derivative of -2 + 3*d**4 + n + 0 - 1 wrt d?\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -l - 2, 5*m - m = -2*l + 16. Let d = -2\/55 + -43\/330. Let x be (-1)\/(((-17)\/(-2))\/(-1)). Which is the biggest value? (a) x (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, -5, -2, 5 in increasing order.\nAnswer: -5, -2, 5, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + w - 14*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o. Let a(g) = 5*g + 1. Let t(u) = 3*a(u) - 8*b(u). Let f be t(7). Calculate the common denominator of f\/(-18) + 614\/(-36) and 56\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18862426 take away 1270?\nAnswer: 18861156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akeeaekkkea. What is prob of picking 3 k and 1 e?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/11)*r*r**(3\/5)*(r**(-1\/3)\/r)\/r*r*r**(-5\/6) assuming r is positive.\nAnswer: r**(-67\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96926*v + 96926*v - v**3 - 166*v**2 + 87*v**2 + 75*v**2 + 4*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 301009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205.3 - -179. Let a = 26 + d. Let f = -0.1 - -0.5. What is the third smallest value in f, 0, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*i - 105 = 5*k + 457*i, 5*k = -20*i + 585 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4084284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45.2 - 45. What is the closest to 4 in s, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 0 - 1 - 1)\/(-276 - -281). Determine i, given that d*i - 3\/2*i**5 + 2*i**2 - 2*i**4 + 3\/2*i**3 + 0 = 0.\nAnswer: -4\/3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6068 and -6069 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 2171.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*j + 585 = 75*j. Let z = j - 195. Solve b + 2*v - 5*v = z, 3*b = -v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Let k be g + (16\/(-6))\/(-1). Factor -k + 1\/3*v**2 - 1\/3*v.\nAnswer: (v - 2)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**4 - 23*l**3 - 25*l**2 + 944*l - 9367531 wrt l?\nAnswer: -8*l**3 - 69*l**2 - 50*l + 944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224229?\nAnswer: 3, 41, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -35*h**3 + h**2 - h - 1. Let z be t(-1). Calculate the remainder when -3 + 2*(-19)\/(-1) is divided by (-2)\/(((-40)\/z)\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1, -4, 16, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9389?\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -76 (b) 8 (c) -2\/7 (d) 5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40098.\nAnswer: 2, 3, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6203543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j - 52 - 2*j - j + 47. Let m(g) = -23*g - 14. What is 8*i(v) - 3*m(v)?\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 13*c**4\/6 + 19*c**2 + 4*c. Differentiate a(s) wrt s.\nAnswer: 52*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.557394 litres to millilitres.\nAnswer: 8557.394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16*d**2 - d + 6. What is the remainder when z(-2) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 5*o**2 + 3*o - 3. Let n(b) = b**3 - 6*b**2 - 4*b + 3. Calculate -4*l(w) - 3*n(w).\nAnswer: w**3 - 2*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3069161305 - 1574?\nAnswer: -3069162879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88750033.\nAnswer: 88750033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5529848 plus -24834972?\nAnswer: -19305124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74661388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 310135.4 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 310*h**3*p**3 + h**3*p + 605*h**3 + 2*h*p wrt p?\nAnswer: 930*h**3*p**2 + h**3 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*c + 310, 4*o + 448 = c - 3*c. Let v = o - -115. Solve -5 = v*l + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(2\/(-3))\/((-32)\/(-24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21031221222 (base 4) in base 10?\nAnswer: -2415210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*z + 5 + 13 = 0, -4*l = 4*z - 52. Suppose -g + 3 = -l. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 2*g + 13. Let h(f) = -2*f + 1. Let z be h(-2). What are the prime factors of k(z)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*(-51 + 1339\/39).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 5*w + 4*w + 4*w - w - 2*w + (-2 + 3 + 0)*(-3*w + 0*w + w) - w + 6*w - w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p - 2. Let k(l) be the first derivative of 3*l**2 + 409. Give k(s(n)).\nAnswer: -90*n - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41 - -0.97.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.031 + -1002328.148\nAnswer: -1002328.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o + 2*o**4 - 14 - 39*o**2 - o**3 + 41*o**2 + 14 to b*o**2 + j*o + f + d*o**3 + v*o**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**(-2\/31)*(b**0)**34 assuming b is positive.\nAnswer: b**(4\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 41268?\nAnswer: 206340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 943 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5725 - -8740. Does 67 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + u - 1 = 0, -n - 2*u - 3 = -0*u. Suppose -2*c + 4 = 2. Let s = -0.26 + 2.26. What is the nearest to s in n, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 1328*g\/3 - 884.\nAnswer: -(g + 2)*(g + 1326)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 318? (a) 0.3 (b) 4 (c) -0.2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 11*i**3 + 0*i**3 - 8*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599012.\nAnswer: 2, 17, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178 * 0.0389.\nAnswer: -6.9242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 376 = -4*s, 3*s + 3 = 18. Let m = g + 158. 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 7793083 (base 11) in base 13?\nAnswer: 2aa55b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0169988763 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527572.\nAnswer: 2, 131893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115916 in 0, -19, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 360*l. Let o(v) = -v + 0*v + 0*v + 70074 - 70074. Give o(a(h)).\nAnswer: -360*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24136569 divided by -778599\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - -302120332?\nAnswer: 302121032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 8*y - 4*y + 5*u, 4*y = u + 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5613 and 17\/11.\nAnswer: 61743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or -536?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1900 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 1\/30*h**5 + 0*h**3 - 1\/24*h**4 - 4*h**2 + 0 + 23*h - 19\/120*h**6. Let x(u) be the first derivative of l(u). Determine x(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**7\/210 - 31*z**4\/12 + 5*z**3 - z - 76. Let d(g) be the third derivative of x(g). What is the derivative of d(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 19 + 151 - z - 61.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytt when three letters picked without replacement from ytyty.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18479*q = -18310*q + 3549 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214373147255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -80. Let g(z) = 3*z**2 - 4*z - 6. Let c(m) = -m**2 + 5*m - 6. Let w be c(5). Let d be g(w). What is the greatest common divisor of h and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d + 2. Let p be v(0). Solve p*j - 3*j + 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3008)\/(-100) + (-144)\/(-75) + -2. What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37188, 74393, 111600, 148809, 186020, 223233, 260448?\nAnswer: 297665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/10637 or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 - j + 1. Let r(y) = -y**3 + 8*y**2 - 6*y - 6. Let d be r(7). Let c be z(d). Suppose 0 = -q + 38 - 36. Solve 2*s + c = q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 - 6*m**2 - 61*m - 130. Give j(-5).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + j - 8 = 0, -5*j = h + 4 - 2. Let i(w) be the second derivative of 2\/3*w**3 + 0*w**2 + 0 - 1\/2*w**4 + 1\/10*w**5 + h*w. Factor i(u).\nAnswer: 2*u*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/9)*(b**(1\/13)\/b)\/b*(b*b\/(b\/(b*b**(4\/7))))\/b**11 assuming b is positive.\nAnswer: b**(-8296\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -112683*x - 112169?\nAnswer: -112683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -248.\nAnswer: 3\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) -0.5 (b) 5 (c) 251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 12:07 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjejjje. What is prob of picking 1 e and 3 j?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -17 - -25 - (-66)\/(-8). Sort o, 6, -2.3.\nAnswer: -2.3, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596 divided by 1.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1011101010000 (base 2) to base 7\nAnswer: 23254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/(9273\/383284)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/6)\/(3\/(-6)). Let t be 3\/l - (-21)\/7. Suppose t = g + 4*x - 2, 4*g + 0*g - 60 = -3*x. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*2 - 5\/1. Suppose 0 = v + 6*c - c - 1, -2*c - 3 = -3*v. Let y be v*(1 + -3 - -3). What is the closest to n in y, 0.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10541\/7 - -1506. Which is the second biggest value? (a) l (b) -0.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22893 + 5470 = -7*w. Let k = w - 1112. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1100212003 + -230?\nAnswer: 1100211223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7549 is divided by 232.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*w**3 + 39432*w**2 - 33*w - 380170544 wrt w?\nAnswer: 6*w**2 + 78864*w - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19581814099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*x = 50, 0*x = -2*i + 3*x - 5. Let z = i - -20. Let k(l) = -2*l - 8*l**2 + z*l**2 + 2*l. Let a(t) = 19*t**2. Determine k(a(q)).\nAnswer: 722*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -68344712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -112*c**2 + 2. Let t(q) = -113*q**2 + 3. Give 6*g(d) - 4*t(d).\nAnswer: -220*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481 = 20*q + 121. Solve -9*i - q = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5*w + 8. Let m be i(-6). Suppose 0*c = 5*c. Suppose -9*j = -z - 5*j, c = -4*z - j. Solve 0 = m*p - z - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12588.000148478 - -12588. Round l to six dps.\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 202, 725, 2146, 4915, 9482, 16297, 25810, 38471?\n\"Answer: 75*b**3 - b**2 + b + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 10*o + 47 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -197.651\nAnswer: 198.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 10*l. Let w = 838 + -836. Let g(y) = -y - 8. Let j be g(-8). Let u(k) = j*k + w*k - k. Calculate i(u(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in -102, -5, -127.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 z when three letters picked without replacement from {z: 6, m: 13}?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.3774\nAnswer: -1.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 7*w**2 - 19 + 8*w**2 as v*w**2 + f + t*w and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0*j - 1\/60*j**5 + 0*j**4 + 0*j**3 + 0 - 4*j**2. Let n(o) be the second derivative of -o**4\/4 + o. What is z(n(r))?\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2 + 5*q - 3*q + 6 - q + 7*q = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-2 + 6) - (-1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 5*w + 314. Let s be 3 - (2 - 12\/(-2)). Let t be (74\/4)\/(s\/w). Calculate the highest common factor of t and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17155\/45832 - -4\/5729. Let q = 3 + -3. Let c = -0.3 - 0. What is the second smallest value in q, n, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 130?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -51*h**3 - 3*h**2 + 6*h + 1. Calculate z(-2).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -w + 3568, -12*d = 4*w - 17*d - 14306. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3 = -5*q, -4*c + 4*q = 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14511, -29022, -43533, -58044, -72555?\n\"Answer: -14511*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 178456763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -31\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 5*m - 3*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3539491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*i = -m + 1558, -m + 506 = 4*i. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10287 divided by -3429.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/3 + 2*v**2 - 222*v + 630 = 0?\nAnswer: -21, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011 - 111101111110?\nAnswer: -1000000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 6*z - 3. Calculate p(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593*u = -584*u - 162. Suppose -o = -0*l - 3*l - 176, -5*l = o - 136. What is the remainder when o is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = 0, 3*r - 20 = -2*g - 3. Let s = g + -3. What is the closest to s in 1\/11, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-306)\/68*35*(-1)\/15\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4148, 8280, 12426, 16586, 20760, 24948, 29150?\n\"Answer: 7*t**2 + 4111*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*n + 2 - 9, -4 = -4*o + 4*n. Suppose -3 = -x + 2. Let l be 2\/6 - (-70)\/(-21). Put o, x, l in decreasing order.\nAnswer: x, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/31, 0.12, 1.\nAnswer: -4\/31, 0.12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 20. Let v be (l\/(-15))\/((-2)\/15). Solve 0 = 3*f + f - v*c - 19, f - 7 = 2*c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**2 - 12*y**2 + 1190*y + 26*y**2 + 214*y.\nAnswer: -3*y**2 + 1404*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5604.876 litres in millilitres?\nAnswer: 5604876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0 (c) 2\/9 (d) -8 (e) 0.099 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/4 - 258\/(-20) and 0 + (-202)\/64 + 0?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Suppose b = -4*j + 3*k + 1168, -3*k + 222 + 344 = 2*j. Suppose -m - 98 = -j. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**3 + 0*v**3 + 4*v**3 - 31*v**3 - 39*v**2 + 39*v**2 + (-2 + 2 + 2)*(v**3 - 4*v**3 + 2*v**3).\nAnswer: -35*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Let l be ((15 - 15)\/((-3)\/3))\/3. Suppose -4*b - q*b + 2933 = l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005242419 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = -35 - 25. Let v(x) = -x**3 - 4*x**2 + 3*x + 4. What is the remainder when v(c) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18700*v*x - 4*x - 186 with respect to v.\nAnswer: 18700*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.85 - -25. Let g = 0.05 - x. Let j = g + -0.4. What is the third biggest value in 0.3, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*i - 71*i + 6*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81864569 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 286*o**3 - 5*o**2 + 3*o - 10. Let b = 7 - 13. Let z be h(b). Is (-1)\/3 - z\/48 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmmcdmcdcmm. What is prob of sequence mddm?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*h + 3, -f + 8 = -2*h + 10. List the prime factors of f - (-54)\/45*(-2500)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100627 - 49005376\/487. Let z = 55681\/5844 - w. Calculate the common denominator of z and -53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/3 - 18896*b**3\/3 - 702179*b**2 - 20524644*b - 55424412 = 0. Calculate b.\nAnswer: -54, -3, 19007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 2160803974.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2 + -25.48876843.\nAnswer: -28.68876843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j\/(j*j**(-1\/3)))*j))**42)**(-1\/32) assuming j is positive.\nAnswer: j**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 59*i**2\/3 + 25*i - 25\/3.\nAnswer: (i - 5)*(i - 1)*(9*i - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -0.1 (c) -3.5926\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 6147705?\nAnswer: 147544920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-2)*(6 + -7). Let x be (-106)\/(-8) - ((-108)\/16)\/9. Let l be x\/49 + (-2)\/v. Solve -5*y + y = l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 8*l + 3*l = -19*m - 5*l + 20*l - 14, -2*m = -64*l + 60 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 + 0 = 0. Let l(v) = -v - 1. Let x be l(h). Let o(q) be the second derivative of -q**5\/20 - 5*q**4\/12 - q**3 - q. Give o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 + 406\/(-49) + 8. Suppose l = -5*w + 421 - 131. Is w at least 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8310812 - 2?\nAnswer: 8310810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81125, 81086, 81047?\nAnswer: 81008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/21)\/((-12)\/196*(1350\/81 - 17))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - -483. List the prime factors of a.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3618 and 198.\nAnswer: 39798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1672 (base 12) in base 11?\nAnswer: -2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-78)\/12)\/(1\/(-22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*h - 5*d - 65, -246 = -5*h - 4*d. Calculate the smallest common multiple of 12 and h.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 4*b - 148680 = 0, -2*b + 4 = 12. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*b - 29*b + 12. Suppose 2*y = -2, 2*u = b*u + 2*y - 42. Put u, 6, -1 in descending order.\nAnswer: u, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 1456052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 - k. Let v be u(0). Suppose 3*b - b - 6 = v. What is the lowest common multiple of 31 and b?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96390.6051 to the nearest one thousand.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1824 or -1827?\nAnswer: -1827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -36.6. Let m = -16 + 11.1. Let c = 5 + m. What is the biggest value in c, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -573*y - 4269. Is 89 a factor of d(-41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsd when three letters picked without replacement from nhsdldc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*y = 340*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4108 is divided by 984?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 110?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -305, -299, -295?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -120020100200022?\nAnswer: -120020100200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/120 - 31*v**5\/60 + 31*v**4\/24 - 4*v**3 + 186*v**2. What is the remainder when 88 is divided by y(30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -13*p**8\/1680 - 9*p**7\/350 - p**6\/40 - p**5\/300 - 2*p**2 - 2. Factor h(f).\nAnswer: -f**2*(f + 1)**2*(13*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 11*g + 12. Let y be f(10). Let r = -6 - -15. Suppose 5*x - r = 1. Is y at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5509\/40 + 1097\/8. Is 18.43 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 - 7*r + 12. Let k(s) = -3*s - 7. Let b be k(-4). Let h be d(b). What is the second derivative of 6*m - m**2 - 21*m**h + 10*m**2 wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -99, -305, -637, -1095, -1679, -2389, -3225?\n\"Answer: -63*g**2 - 17*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/8)\/((-2)\/(-40)). Differentiate 6*o - 5*o - o - 2 + u*o with respect to o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -13 + 26\/(-91)*-217. Solve -19 = 17*u + p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 21\/5 (b) 0.4 (c) -0.03622\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1*-8*1. Calculate the remainder when 15 is divided by 0 + c\/3 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47 - 123 + 29*q**2 + 646*q**5 + 57 - q**6 wrt q.\nAnswer: -120*q**3 + 38760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + -46. Put -3\/4, -4, m in decreasing order.\nAnswer: m, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 - 2*q**4 + q**4)*(-4*q - q + 3*q) + q**4 - 35*q**2 - q**5 + 35*q**2.\nAnswer: q**5 + q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 w when three letters picked without replacement from {w: 11, g: 2, n: 3, o: 1, i: 2}?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5782 - -5781.99509. What is h rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 + -4. Let z = -0.0482 - -2.0482. What is the third smallest value in k, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 17*c**2 + 17*c - 26. Is g(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(98) + (3*sqrt(200))**2.\nAnswer: 7*sqrt(2) + 1795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**5*u - 2*j**4 + 239*j**3*u - j**2*u + 7*j**2 + 5*j*u + 11011*u wrt j.\nAnswer: -660*j**2*u - 48*j + 1434*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.2. Let u = 174 + -173. Put u, g, -5 in decreasing order.\nAnswer: u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -29989 divided by -61\nAnswer: 29989\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - 2*u**2 + 32*u**2.\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 52*s + 30. Let k be h(-18). What is the smallest value in 0.1, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = 0, h - 4 = -3*z - 5. Suppose -11*q + 10*q = -h. Suppose -1 = -5*d + 3*y, d + q*y = -0*d + 8. Solve 2*i - 20 = -d*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m + 105. Let k be i(17). Calculate the common denominator of (-38)\/(-80)*((-77)\/k + 2) and -1\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4219738 and -17.\nAnswer: 71735546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-25)*-2*-1. Suppose -27 = -6*g + 75. Suppose 6*s = g*s + 44. What is the smallest value in s, 4, p, 2\/31?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*j + 31*j**2 - 37*j)*(1 + 0 + 1)*(-j + 0 + 0) in the form p + v*j**3 + l*j**2 + a*j and give v.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 1. Let l be f(-1). Suppose 3*b - l = 0, -3 = 3*q - 2*b - 16. Suppose 81 - 206 = -q*x. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 22*q - 3132. What is the greatest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Let b(y) = -3. Let r(t) = -3. Let m(z) = -6*b(z) + 5*r(z). Let c(v) = -9. Let k(w) = 3*c(w) + 8*m(w). Give k(h) - n(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*t = 82*t + 2420 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 35505?\nAnswer: -35515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - -56480?\nAnswer: 56465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0134 rounded to four dps?\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -390 + 361 + (-5 - 6).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 31*q + 98. Give u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361\/501 - 9\/167. Which is the closest to q? (a) 0 (b) 0.3 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169209185753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 945600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-10)\/4475) - (-3)\/(-6)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p = -5*t - 19*p + 12, 2*p + 6 = 9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -10\/381 (c) -194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -3.2, -10, -12 in descending order.\nAnswer: 31, -3.2, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186348\/(-1060))\/(-293)*(-1)\/((-27)\/(-25))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + -0.35. Let t = -41 + 37. Let k be (-20)\/14 - (3 + t). Which is the second biggest value? (a) y (b) -0.02 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.055 - 4.455. Let o = -1.4 - c. Let b = -0.3 + -0.2. Put 1\/10, o, b in decreasing order.\nAnswer: o, 1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5678327071 + 5678327019.00000071. Let g = x - -52. Round g to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/4 (b) 1\/7 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:43 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/110001 and 76\/5061.\nAnswer: 185571687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*p - 8 = -12, p = -8*b - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/6)*i\/(i**(-14)*i))\/(i\/(i\/((i*i**(1\/14)\/i)\/i))*(i*i\/(i\/i**14))\/i) assuming i is positive.\nAnswer: i**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 15 = z. Let p = 6 + 0. Let i = 6.5 - p. Which is the third biggest value? (a) i (b) z (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -123149734*a. Let v(n) = n**2. Give v(s(b)).\nAnswer: 15165856984270756*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (10 + (-126)\/16 - 6). Which is the second biggest value? (a) -5 (b) -29 (c) 4\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8189, 8187, 8185?\n\"Answer: -2*o + 8191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 79610*m**2 + 79610*m**2.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 174 + 2. Let l = i + -16. Calculate the smallest common multiple of l and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3 and (17\/(-6) + 3)*-3*13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 15, -2 in ascending order.\nAnswer: -2, 15, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -63\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1067*d + 110945. What is q(-104)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 4)*(-5 + 2 + 2)*(302 - 302 + 17*m) as g + h*m and give h.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 12:21 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(20) + (sqrt(144) - (sqrt(144) - -2*sqrt(144))) + sqrt(144))\/((sqrt(1764)*-1)\/(-3*sqrt(12)*1 - sqrt(12) - sqrt(12))).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*(-8)\/10. Let w = 210 - 209.6. What is the nearest to w in -0.3, 2\/13, m?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 380 and 1388520?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 18*h - 8. What is the remainder when 21 is divided by p(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 18)*(3*t**3 - 3*t**3 - 2*t**3).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 11:16 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, v: 2}. Give prob of picking 2 v and 2 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -25716, -5 in decreasing order.\nAnswer: 4, -5, -25716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by 63?\nAnswer: 127\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -6*(-2 + sqrt(72)))*-6)**2.\nAnswer: -36288*sqrt(2) + 100368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, v: 1, r: 4, m: 3, g: 1}. Give prob of picking 3 c and 1 g.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1278985, 1278982, 1278979, 1278976?\nAnswer: 1278973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 18*t + 36. Calculate the remainder when f(15) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04961529 or 1\/5?\nAnswer: 0.04961529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 6. Suppose -f - 3*q + 18 = 4*f, -f = -3*q. Let m be t(f). Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1329*y**2 - 3214 - 2417 - 1328*y**2 to the form d*y**2 + c + z*y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r - 74*r + 28*r + 2*r**2 + 27*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(3*w**3 - 9*w**3 - 61*w**3) + 0*w + 0*w + 5*w**3.\nAnswer: -62*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Let f be (0 - (-8)\/(-14)) + 0. Let o = 4.4 - -0.6. Which is the third smallest value? (a) n (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 12678 = -10*o. Suppose 1067 + o = -j. Round j to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 y when four letters picked without replacement from {s: 2, y: 3, p: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 258*j - 1000. Let i be v(4). Let r be ((-14)\/(-6))\/((-2)\/(-12)). Let h = 10 + r. What is the greatest common factor of i and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237910734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*k - 5*k + k)*(-6*k + k + 4*k) + 3*k**2 - 19 + 19 - 1 - k**2 + 1)*(0 + 1 - 2) in the form p*k**2 + m*k + d and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036 - -7566?\nAnswer: 12602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 - 15*d + 17. Let s(z) = -5*z**2 - 16*z + 16. Let m(k) = -5*s(k) + 6*y(k). Let u be m(7). Let o(r) = -u - 2 + 8127*r - 8123*r. Give o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39375150 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(18\/5)\/o)\/o)\/o)\/(o\/(o*o\/o**(-1\/4))) assuming o is positive.\nAnswer: o**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -577\/64?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 30*n - 84. Let p be k(3). Let u(q) = 6*q - 2. Let w be u(-4). Sort w, p, -1 in ascending order.\nAnswer: w, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 1824?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuuuuuuuuuuugugu?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 255.\nAnswer: 31\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h*i*w**3 + h*i*w + 22*h*w**3 + 3*h*w**2 + 6055*h + 1243*i*w**3 + 3*w**3 + 3*w**2 wrt w.\nAnswer: -18*h*i + 132*h + 7458*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0*i**2 + 0 + 1\/9*i**3 + 1\/18*i**4 - 6*i. Factor s(v).\nAnswer: 2*v*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512593.\nAnswer: 3, 93059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*j - 70, 0 = -3*j - 3*d + 8 + 22. What is the remainder when 42 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11374 (base 10) in base 9?\nAnswer: -16537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 8*k**2 + 9*k - 5. Let n be w(9). Let q = n + 7. Factor 45*y**q - 27 + 174 + 30*y**3 - 33*y**3 - 189*y.\nAnswer: -3*(y - 7)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 - -18. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112034413 + 30?\nAnswer: 112034443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.6, 132\/281?\nAnswer: 132\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from {k: 11, r: 5}?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 1:07 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -232\/215?\nAnswer: -232\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158407 - 8*t**2 - 4385 - 39*t**2.\nAnswer: -47*t**2 + 154022","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 16*x**3\/3 + 33*x**2\/2 - 727. Let z(r) = r. Calculate z(n(q)).\nAnswer: 16*q**2 + 33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*v - 16, -2*z - 16 + 32 = -2*v. Suppose -4*k - 1801 - 234 = -5*j, -z*j + 1592 = 4*k. Does 35 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:51 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1318028 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*i - 9. Find the third derivative of x**2 + x**5 + 2*x**2 + 0*x**5 - 2*x**i wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 18*x + 280.\nAnswer: -(x - 28)*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzz. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 24*d + 2080.\nAnswer: -4*(d - 20)*(d + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.293379 rounded to three decimal places?\nAnswer: -8.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -515*a**2. Let b(i) = i. What is b(u(l))?\nAnswer: -515*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101577703 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8167*p**2 + 9952*p - 2. Let x(t) = -3*t**2 + 3*t - 1. Let d(o) = g(o) - 2*x(o). Find the second derivative of d(h) wrt h.\nAnswer: -16322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3*r*t + 1290982*g**3*t + 71998*r*t wrt r?\nAnswer: g**3*t + 71998*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 17277 = -3*x, 3*x = -2*s + 8782 - 1864. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(450))\/(sqrt(294) - sqrt(294)*2).\nAnswer: 5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 25*x + 2*x = -228 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -111, -114, -117?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394075 to the power of 1\/2, to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/15 - m**4\/3 + 8*m**2\/3 - 5*m. Factor f(d).\nAnswer: 4*(d - 2)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909361?\nAnswer: 61, 113, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxxx when four letters picked without replacement from qqqxqqxxxqqqqqqqqqqq?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2 + 4*m - 3. Let s be z(2). Suppose 154*r = 149*r + 495. Calculate the greatest common factor of s and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g - 24. Let h be 6*((-12)\/54)\/(1\/(-6)). Let r be x(h). Suppose -r*m = -m - 49. Solve -4*i = -m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**2 - 5 + 4\/3*y**3 - 5\/8*y**4 + 1\/10*y**5 + 0*y. Determine i so that z(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 12*i + 2. Let n be p(-12). Suppose 5*t + 5*m = 215, 3*m + 82 = n*t - 24. What is the least common multiple of t and 8?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(99) + -1 + ((3 + sqrt(99))**2 + sqrt(99))*5 + -3.\nAnswer: 108*sqrt(11) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 44. Let c = p + -22. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*s - 22, -s + 6 - 3 = 0. What is the units digit of ((-114)\/(-9))\/(f\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b + 24*b + 135*b + 18*b - 61*b.\nAnswer: 127*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0 + 5. Let o(h) = -2*h**2 + 3*h + 3. Let t(b) = 4*b**2 - 5*b - 5. Give i*o(s) - 3*t(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142\/87 - 589\/261. What is the common denominator of z and -19\/537?\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z - 20. Let j be d(6). Suppose -l + 5*k - 18 = 0, j*l - 5*l = k. What is the third smallest value in l, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1019790 by 90.\nAnswer: -11331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p = 33*p + 6. Let z be (-1)\/(-3) + (-98)\/p. Suppose -3*y + z + 87 = 2*x, -2*x + 162 = 4*y. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -258, -359, -446, -513, -554, -563?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44, -118, -190, -260, -328, -394, -458?\n\"Answer: s**2 - 77*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, -3135, -7267, -13053, -20487, -29563, -40275, -52617?\nAnswer: -66583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-9))\/(6\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1173, -4783, -10829, -19335, -30325, -43823?\nAnswer: -59853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 4 - 4)*(-4*t**2 - 2*t**2 + 4*t**2) - t**4 - t**3 + t**3 + (-4*t**2 - 2*t**2 + 3*t**2)*(0*t**2 + 3*t**2 + t**2).\nAnswer: -17*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t**2 - 4. Let i(v) = -9*v**2 - 5. Let h be 27\/(-4) + (-24)\/(-32). Let l(p) = h*f(p) + 5*i(p). Differentiate l(b) with respect to b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121164 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 6*f**2 + 5*f + 4. Let z(y) = -2*y - 13. Let v be z(-4). Let u be p(v). Calculate the highest common factor of 12 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w + 3*w)*(-2 + 4 + 0) - 4 + 4 + 2*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-602)\/1470 - 30\/(-50))*(141\/(-18) - -8)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let m(b) = -114*b. Calculate m(a(u)).\nAnswer: 114*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 9*i + 5*h - 25, 0 = 2*i + h - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + m**2 - m - 63. Suppose 0*s - s = 0. Let l be o(s). Let i = l + 113. Calculate the greatest common divisor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and (-39)\/(-2) + (-5)\/(-8 + -2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2164165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 3*r + 18 - 6)*(1 - 1 + r) as s*r**2 + k*r + o and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t + 44*t - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1)\/6*(-9)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r**2 + 10*r + 5. Let y(k) = 12*k**2 + 12*k + 6. Let o(z) = -6*q(z) + 5*y(z). Let u(l) = -5*l. What is u(o(p))?\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*x + 5*n, n + 4*n + 11 = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -2, -66, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*q = 42, 511*q - 512*q = -0*r - 14*r + 79 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 96 = -7*r. Let h = r + 119. Calculate the greatest common divisor of h and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 135682185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.55866 minutes in hours?\nAnswer: 3.909311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7708*q**3 - 14036*q**3 - 13205*q**3.\nAnswer: -34949*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53190640 a multiple of 9080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 878 or 2.07?\nAnswer: 878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**4\/2 - 71*w**3\/6 + w**2 + 13*w + 65. Let k(y) be the second derivative of j(y). Differentiate k(q) with respect to q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 143*v - 341. Let h be z(50). Solve 0 = -q - w, -4*q + 0*w + h = -5*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/(-4 + (-95)\/(-20)). Put -2, 3, w, -8 in increasing order.\nAnswer: -8, -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 2*m**2 - 2*m - 2. Let s be y(3). Let n = s + -63. Let j be 10\/(0 + (-4)\/n). Calculate the greatest common factor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -5. Let w be (-8)\/(-40) - (-2)\/s. Suppose 2 - 6 = 3*b - 2*v, -5 = 2*b + v. What is the second biggest value in -0.3, w, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965974367037*w - 965974367037*w + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2 + m. Let t(v) = -v**2 - 7*v - 3. Let b(n) = 2*n**2 + 8*n + 2. Let d(f) = -2*b(f) - 3*t(f). Let i be d(6). Calculate y(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000110101011 - 10100?\nAnswer: -1101000110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24355232 - 0?\nAnswer: 24355232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 31798.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jejk when four letters picked without replacement from kkeojgkjkkjew.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 = -2*n. Solve n*c = -4 - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*a - 20, 4*c + a - 17 = -0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 6*b - 2. Let q(n) = n**2 - 30*n + 206. Let z be q(20). Calculate l(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10)*-2) - sqrt(99)*1)**2.\nAnswer: 539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:06 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1652 - 16*y**2 - 490 + 26*y**2 - 6*y**2 - 6*y**2.\nAnswer: -2*y**2 + 1162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*d = b + 10, -4*b - d = -17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175903496*j*w**2 + 115*j*w - 8180*j + 22*w wrt w?\nAnswer: 351806992*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 673 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 307 - 192. List the prime factors of b.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11387, -11388, -11389?\nAnswer: -11390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10893680621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**2 + 10*b + 127. Give a(-17).\nAnswer: -2066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 47*k + 458. Calculate g(-4).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*s + 2*o, -2*o + o + 18 = -3*s. Let i = s - -7. Suppose -4*k + 6 = -f - 23, 2*f + i = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/6, 2\/5, -9, 0.2, -4\/95, -0.9, -1.71?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 56*j**2 + 60*j.\nAnswer: -4*j*(j - 1)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-32)*(-6900)\/(-1035)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 4) + 0 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f**3 - 1 - 8*f**3 + 9*f**3 + 10*f**3 to k*f + h + x*f**3 + w*f**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*d*w**3 + 2245*d*w - d - 344186 wrt w.\nAnswer: -246*d*w**2 + 2245*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 36 = -2*l, -l = 3*i + 2*l - 36. Let o be (-12)\/(-16) + i\/12. Factor 0 - 1\/3*n**3 + 1\/3*n + 0*n**o.\nAnswer: -n*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14436 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11252 - 11257. Which is the nearest to 1? (a) -2\/53 (b) 6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -8 - -14) + (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31849\/37 or 862?\nAnswer: 862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 - 19\/(-16))*4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11944 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z - 96 = 0. Calculate the common denominator of -1 - (-3)\/z*-46 and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000072046 to six decimal places.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1619 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2\/3 - 45385712*s\/3 - 128741428359184\/3 = 0. What is s?\nAnswer: -5673214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 196835*o + 6889229. Give g(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {w: 2, c: 10, l: 1, e: 5, m: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**4 + 4979*d**3 + d - 350433.\nAnswer: -4*d**3 + 14937*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*h - 3*h + 44*h)*(-h**2 + 2*h**2 + 4*h**2)*(0*h + 3*h - 2*h)*(-6 + 0 + 4).\nAnswer: -1410*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251257 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 0 - 7)*-16 - 108\/9?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80171 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -117\/3473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*l**4 - 968640*l**3 - 387104*l**2 + 3254784*l + 2789568 = 0. Calculate l.\nAnswer: -9686, -6\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1\/6, 0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*q - 5*x, -2*q = -2*x + 7*x - 11. Suppose -q*r = -3*r - 115. Let i = r + 53. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.80799 times 0.2?\nAnswer: -0.361598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pybceecpppcecgeccgy. Give prob of sequence bg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + z**2 - z - 2. Let i be u(0). Let b = -96 - 41. Let f = -138 - b. Do f and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1408*z**3 + 45*z - 1457*z**3 + 2902*z**3 + z**2.\nAnswer: 37*z**3 + z**2 + 45*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/48 - ((-1489004)\/960)\/43 - 4\/30\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9 + 2 + 5*y in the form m*y + j and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 21001121000020?\nAnswer: 21001121000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111961 less than -27555?\nAnswer: -139516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -242.7 + 242.7. Which is the nearest to 0? (a) 0.2 (b) r (c) -205\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302 * -0.04867\nAnswer: -14.69834","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1373, 2745, 4119, 5495, 6873, 8253?\nAnswer: 9635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 5\/1751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 - 1751*t**3 - 1757*t**3 + 5299*t**3 - 1756*t**3 - 19*t**2 + 32*t**2.\nAnswer: 35*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450629553, -901259108, -1351888663, -1802518218?\nAnswer: -2253147773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 1. Let l be 1107\/164 + 3\/(-4). What is h(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -40\/23?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-8 - (-10 - -3)) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4\/7 - 1496*f**3\/7 + 208080*f**2 - 286919200*f\/7 + 17372368000\/7 = 0. What is f?\nAnswer: -884, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-190*a**3 - 24*a**2 - 188*a**3 - 31*a**2 + 55*a**2)*(-2 - 1 + 4)*(3*a - a + 5*a).\nAnswer: -2646*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8087472 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z + 43*z - 2*t = -40*z, -2*t + 14 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/58329 - 88462\/411161121. Let g = o - -133955\/84588. Let p = 123735\/208288 - 2\/6509. Calculate the common denominator of g and p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 4.402\nAnswer: 1.7608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354*b**4 + 3*b - 20 wrt b.\nAnswer: 4248*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - sqrt(700)*-2) + -1 + (2*sqrt(700) - sqrt(700))*3 + 5 - (3*sqrt(700)*-2 - (1 + 2 + sqrt(700))))*5.\nAnswer: 35 + 650*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 < 223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 8:44 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.901 - -0.099. Let r = -3 - 0. Which is the nearest to 1? (a) r (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16.4925 and 2414.091?\nAnswer: 2397.5985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -112867, -225715, -338549, -451369, -564175, -676967?\n\"Answer: 7*x**2 - 112869*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**2 + 62*a + 58. What are the prime factors of h(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*p - 18. Suppose -2*s - 322 = -2*t, t + 6*s = p*s + 141. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 + -73. Suppose p = -12*t + 255. What is the remainder when 63 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 130 - 5*b**2 - 65 - 40.\nAnswer: -5*b**2 - 301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12500 + 3444?\nAnswer: 20344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 15. Let s(u) = 2*u**3 - u**2 - 5*u + 2. Let x be s(q). What is the remainder when (-2 - 1) + 5 + x is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29414.38ns in microseconds?\nAnswer: 29.41438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -10 - 10) + -9 + (-2 - 8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 1)*(-1 - 2 + 5) + 3 - 2 + 0)*(f + 3 - 3).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - p = 1 - 6, 0 = 2*x + 5*p + 14. Suppose 3*i - 76 = 4*h, -2*i = -x*i + 4*h + 20. Let k(y) = i*y + 28*y - 57*y. Give k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 1\/10*s**5 + 0*s**2 - 19*s + 2\/15*s**3 - 1\/15*s**7 + 0 - 3\/25*s**6 + 3\/10*s**4. Determine y, given that i(y) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*g**2*p**3 + 2*g**2*p**2 - 229*g*p**3 + 6*p**3 - 13823*p**2 - 1 wrt p?\nAnswer: -150*g**2 - 1374*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.071 - -0.731. Round v to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 3*x - 13. What is f(-5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*n, 0 = -4*n - 2*t - 0*t + 10. Suppose 2*j = 2*b - 0*j - 34, -n*b + 5*j + 43 = 0. Solve -u = 3*y + b, 5*u + 0*y = -2*y - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, t: 1, x: 2, f: 1, z: 3, w: 1}. What is prob of sequence wzy?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 9:46 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -16*x**2 + 62*x - 40. What is h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -439 + 4832\/11. What is the common denominator of 57\/8 and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -710*f + 567*f + 572 = 0. Put 5, -29, -13, 2, f in descending order.\nAnswer: 5, f, 2, -13, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in 5, 2, 0.1, 512424?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -351, -349, -347, -345, -343?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 138962 to the power of 1\/2, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15136697 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1611, 2\/5, 1\/8, 3\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*c**2 + 4\/3 + 1\/6*c**3 - 2\/3*c = 0. What is c?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 5*j**2 + 36*j - 85. Determine g(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 3 - 6*l + 4*l + l**2. Let j be b(-4). Is 6 a factor of (j - 0\/3) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 9, 3*h + 8 = -u - h. Suppose -4*w + m + 0*m = -69, 5*m = -w - 9. Let t = 24 - w. What is the lowest common multiple of u and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 16. Let k be u(0). Suppose -3*x + x - k = 0. Let r = 29 + x. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.64, -3, 23, 6, 2 in decreasing order.\nAnswer: 23, 7.64, 6, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 1:04 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x - 6. Let d be v(4). Let y be -2 + 3 + (1 - 0). Suppose -3*m - 106 = -4*n + 2*m, -2*m = y*n - 44. What is the greatest common divisor of n and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-9 - 1)\/(-10)). Is f >= 3\/1547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536676 is divided by 238.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45349 + 45357. Suppose 5*y = -0*y + 4*j + 43, -y + 5*j = -17. Which is bigger: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 35 - 70 + 9*c + 44. Let y(i) = -2*i - 4*i - 4 + 2*i. Determine 6*f(o) + 14*y(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 10. Let x be v(12). Let y(d) be the second derivative of -3\/2*d**x + 1\/2*d**4 + 2*d + 2\/3*d**3 + 1\/20*d**5 + 0. What is y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-17\/5))\/(g**(2\/15)\/g) assuming g is positive.\nAnswer: g**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5, -3*m + 9 = 2*v - v. Suppose -s = -q - 3, -s = q + s - v. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/12 + 13*h**3\/6 + h**2\/2 + 128*h. Let p be g(-13). Put -5, 59, p in descending order.\nAnswer: 59, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 21*r**2\/2 + 16. Let y(p) = 2*p. Give y(i(s)).\nAnswer: 42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 3787 and 3780 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12516928 or -2?\nAnswer: -12516928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35352 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 272, 943, 2060, 3623, 5632, 8087?\n\"Answer: 223*n**2 + 2*n + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (287 - 494 - 24*k + 246)*(5 - 4 - 2).\nAnswer: 24*k - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152 - -136. Which is bigger: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(605)*1 - (sqrt(605)*1 + 0)) + 0 + (0 + sqrt(90)\/sqrt(2) - sqrt(495)\/(sqrt(33)\/sqrt(3))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3402002831 to the power of 1\/3, to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 26 = -32. Solve 0 = -5*f + 3*y - 27, 0 = w*f + y - 0*y + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 + 6847*x**4\/5 - 2253397*x**3\/5 + 165947801*x**2\/5 + 235853332*x\/5 + 67645292\/5 = 0. What is x?\nAnswer: -1654, -1, -2\/5, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j - 10. Let v be k(2). Solve -i - 12 = -0*x - 5*x, 5*x - v = 3*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(32)\/sqrt(4)) - sqrt(19) - ((sqrt(57) + sqrt(228))\/sqrt(3))**2.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28485, 28482, 28471, 28446, 28401, 28330, 28227, 28086?\nAnswer: 27901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by 1.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12354 divided by 6.\nAnswer: 2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:15 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 4*u + 2*u + 9, -12*u + 10*u = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-4\/27)\/v)\/v)\/v*v*v\/(v\/((v*v**(7\/2))\/v)))\/((v\/(v*v*v**(-21)))\/(v\/(v*v*v**33*v*v*v))))**(-15) assuming v is positive.\nAnswer: v**(15025\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - z)*(1 - 1 - 1) + 14*z + 23*z - 17*z - z + 0*z - 2 + 0*z.\nAnswer: 17*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 5*q**3 - 2*q**2 - 4*q**3 + 5*q**3 - 2*q**3 + (-2 - 2*q**2 + 2)*(-2 + q + 2) - 2*q**3 + 4*q**3 - 3*q**3 + 2*q**3 + 0*q**3 - q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 34*l - 114 - 187 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*n - 0*b + 84, 4*n - 172 = 5*b. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10471*x + 2*x**2 + 5*x**2 + x**4 + 10423*x to the form p*x**4 + k*x**3 + n*x**2 + g + a*x and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 32*o**5\/15 - 28*o**4\/9 + 38*o**3\/27 - 2*o**2\/9 - 1. Factor b(z).\nAnswer: 2*z*(3*z - 2)*(4*z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132267 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.0289156 rounded to 1 dp?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*l + 136*l + 129*l - 560*l + 141*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 19*z**2 + 33*z + 28. Let i be s(17). Find the third derivative of 19*h**6 + 41*h**6 + 12 + 11*h**2 - i - 6 wrt h.\nAnswer: 7200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**2 + 2623. Let x be -1*2\/(-4)*-8. Let s(p) = 3*p. Give x*s(l) + 9*o(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9441491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -33. What is the smallest value in 1\/6, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/35 + (-1)\/((-25)\/5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096908.\nAnswer: 2, 11, 47657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(1*(-35)\/(-5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 1003*x**8\/336 + 53*x**5\/3 - x**3\/3 - 619*x**2. Find the third derivative of z(m) wrt m.\nAnswer: 60180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3522.684 decades to months.\nAnswer: 422722.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 46*w**2 + w. Let u be c(-1). What is the units digit of 10\/u + (-1803)\/(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 420 + 317 = 0. What is the highest common factor of 134 and l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*i - 25 = 0, u = 3*i + i + 23. Suppose -2*n = 2*j - 4, 5*n - u*j + 7*j = 10. Solve -1\/5*y - 1\/5*y**n + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0022 + -0.0122. Which is the closest to 0.1? (a) 5 (b) o (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.02573414 to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0*z**3 - 1\/6*z**4 + 0 - 3*z + 1\/20*z**5 + 0*z**2. Let a be f(2). Put 2\/15, 2, a in decreasing order.\nAnswer: 2, 2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 11:05 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*v - 158*v - 390 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven halves of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 571*p\/2 + 18241.\nAnswer: -(p - 58)*(p + 629)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2102 and -327054224317.\nAnswer: -327054226419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*y)*(-137*y**2 - 29*y**4 + 27*y**4 + 143*y**2).\nAnswer: -4*y**5 + 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-40)\/((-320)\/84))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2447 greater than or equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 158 or 4\/3?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11822404 - -7037404. What is k rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/sqrt(12) + 3)*4)**2.\nAnswer: 96*sqrt(19) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15468 - -15473 - (0 + 3 + -3 + -109)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8674 is divided by 4191?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*p - 4*p. Suppose p*j + 0*j = -8. Let c be 1 - -1 - 10\/6. Sort -1\/6, c, j.\nAnswer: j, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134134 divided by 12194\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 4274090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 8*t + 28, -10*z - 1079 = 12*t - 1175 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -769059948*m**2*n**2 + 1818*m*n + 99821*n**2 wrt m?\nAnswer: -1538119896*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.4 + 9. Let x be 159\/(-396) - 1\/(-3). Let y = 17\/88 + x. What is the third smallest value in z, -1\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-6)\/(-3) + 0). Let s be 1\/a + 35\/(-28). What is the biggest value in s, -5, -3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 + 57*y - 18. Let g be p(11). Solve -3*q - g = -4*u, -7*u + 2*u + 5 = 3*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 60?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3448746360 + 5*f - 3448746360.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 33 + -24 + 29 + -28 - (1 + -95).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*q + 8 + 32 - 23 in the form f + t*q and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*16\/84)\/(((-16)\/56)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 - 2*t**2 - 3*t + 2. Let a = -1 + 3. Suppose -a*r - 16 = 2*r. Let g be u(r). What is g rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40, -679, -2400, -5743, -11248, -19455, -30904, -46135?\n\"Answer: -90*a**3 - a**2 - 6*a + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114846*c**2*q**4 - 10*c**2*q**3 - c**2*q**2 + 87*c**2 - 31*c*q**2 - c*q - 3 wrt q.\nAnswer: 2756304*c**2*q - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*74226\nAnswer: 7422.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199304424.\nAnswer: 2, 3, 11, 22877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 17. Let f = 4 - w. Let q be 44\/36 + 4\/(-18). What is the third biggest value in q, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1043980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33752 is divided by 135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-12)\/t))\/t*t**(-3\/10))\/(t**2)**(-2\/87) assuming t is positive.\nAnswer: t**(11089\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4662 - 4662 + 218*s**2.\nAnswer: 218*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -978, -7900, -26680, -63246, -123526, -213448, -338940?\n\"Answer: -988*h**3 - h**2 - 3*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40444 + 30135?\nAnswer: 111023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-17 - -12 - 83) - (-6 - 4 - 0)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgrr when four letters picked without replacement from gggggrgrgr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 3 (c) 3375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168080 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 + 4*y - y**2 + 6*y**2. Is 5 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 0.0398, 35, -0.3, 0.5, -7, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 32*l**2 + 31*l + 13. Determine k(-33).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 396725, 396762, 396799, 396836, 396873?\n\"Answer: 37*s + 396688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*g - 34 = g, 7 = -c - 4*g. Suppose -4*r + 5*u + 1250 = -1028, -c*r - 4*u = -2827. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148, -149, -150, -151, -152?\n\"Answer: -k - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64951447 is divided by 1342.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.98 - 0.02. Suppose -5*x + 6 = -3*w, -w - 4 = -5*x + w. Let t be (9\/(-90))\/(x - 1). What is the smallest value in b, 0.3, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 666, 664, 660, 654, 646, 636?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 4. Let i be l(8). Let u = i - -6. What is the units digit of (-6)\/12 + 17\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1824737*l**3 - 519837*l**2 wrt l?\nAnswer: -10948422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*y**2 - y - 381 + 381 + 12*y**2 to the form r*y + u*y**2 + z and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20082, -35523, -50966, -66411, -81858, -97307, -112758?\nAnswer: -128211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -10 - 0. Let s be 4\/(-1) + (-1 - -1). Is 8 a factor of (6\/b - s) + 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2 - 117147*f + 477915 with respect to f.\nAnswer: 4*f - 117147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16834, -16837, -16842, -16849?\nAnswer: -16858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00631912 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - x - 1)*(904 - 4*x - 1884 + 3319 + 3180) as d + k*x**2 + u*x and give u.\nAnswer: -5519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94961, -95156, -95471, -95900, -96437, -97076?\nAnswer: -97811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1147 = 433. Let i = -237 + o. List the prime factors of i.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.677826476 rounded to 4 decimal places?\nAnswer: 0.6778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6111*f**4 - 5*f**2 - 2*f - 2 + 6108*f**4 + 3 to the form d*f**4 + j + p*f**2 + h*f**3 + s*f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1185, -1190, -1197, -1206, -1217, -1230, -1245?\n\"Answer: -k**2 - 2*k - 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7552.05 - 7344. Let r = m - 204. Let h = -0.05 + r. Sort -3\/5, 3, h in increasing order.\nAnswer: -3\/5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-4*m + 3*m + 2*m)*(0*m - 3*m + 0*m)*(5*m - 10*m - 5*m)*(7 - 2 - 3) + 3*m**3 + 2*m**2 - 2*m**2.\nAnswer: -117*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/3, -2, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -14 + 8 + -7 + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wooooowooowobbwoww. Give prob of sequence ob.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 18*k - 5. Let u(y) = y**3 + 5*y**2 + 3*y. Let q be u(-5). Let x be t(q). What is the units digit of x\/(-32)*(-32)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 3*u = -o - 4, 0 = -2*u + 3*o - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) + ((-1)\/4 - -4). Suppose 11 = -n*a + 27. Solve a*r - 3 = -2*h + 3, -3 = 3*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-60))\/((60\/4875)\/2) + (-5)\/(-2)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 594 - (-2 + 0 - 0). Let d = m + -41126\/69. Are 0 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 43498, 2\/15.\nAnswer: 1\/8, 2\/15, 43498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-19)*(-4)\/(-4)*(-2)\/28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5907 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1078947 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.81 * 608.\nAnswer: -1708.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1217307 - 3825*l**2 + 3*l**3 - 5976282*l - 6*l**3 + 4755153*l = 0.\nAnswer: -637, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4819 + 62 = -386*o - 137 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or 1\/541649?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (11 + -29) - 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*y**2 - 35*y**2 - 76*y**2.\nAnswer: -352*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**6\/120 + l**5\/30 + l**4\/8 + l**3\/3 - 2*l**2 + 20. What is a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3743628777 to the nearest integer?\nAnswer: 61185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57e - 4ff?\nAnswer: -a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 7*y - 5. Let q be s(6). Let a = q + -3. Let f(b) = -3*b**3 + 2*b**2 + b + 1. Is f(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 87 = -175. Suppose -10 = q*b - 13*b, -2*v - 10 = -5*b. Solve 5*g - 2 - 3 = v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**2 - 4. Let v be (3\/9)\/(3\/36). Let c(u) = 4 + 0 - v + u. Calculate c(h(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 80\/440 + (480\/22)\/1. What is the highest common divisor of 297 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3974.5871 to the nearest integer.\nAnswer: -3975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -169019, -338037, -507057, -676079?\n\"Answer: -g**2 - 169015*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 + 58 = 4*b - 4*a, b + 4*a = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 9, -27, -77?\n\"Answer: -7*t**2 - t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(2\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 3, 2, -52, -30, 1 in decreasing order.\nAnswer: 19, 3, 2, 1, -30, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.5 - -3. Let t be (-16)\/24 - 10\/(-21). Let q = t - -83\/105. Sort q, m, -0.1.\nAnswer: m, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 - 652118*r - 260848 = 0. Calculate r.\nAnswer: -2\/5, 130424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4 = 19. Let o(g) = -2*g + 3. Let u be o(f). Which is the third biggest value? (a) 4 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4191700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -217*f - 651. Let j be b(-3). Suppose 5*k = -4*i + 33, -4*i - 4*k + 23 = -k. Solve j - i = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 + 2*t + 3. Let h be k(-2). Suppose 16 = -h*d - 2. What are the prime factors of ((-9)\/4)\/(d\/16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, -2, 0.\nAnswer: -221, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 51 + 121 = 0. Suppose y = 2*t + 22. Let w(k) = k**3 + 4*k**2 + 4*k + 1. Determine w(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 23. Suppose k - 11 = 3*s. Which is the nearest to 3? (a) 0 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:31 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5344*o = 5341*o, -2*q - 3*o - 46 = 0 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(432)*4)*3*-3 + 4.\nAnswer: -432*sqrt(3) - 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*w + 3)*(1 + 0 + 1)*(4*w - 5*w + 4*w).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (-5 + 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 20234.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 4. Let j be a(3). Let z be 3*(2 - 1) + 460\/j. Let k = 8 + z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4355372?\nAnswer: 2, 7, 23, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)*d)**19*d\/d**(-9)*d**(-3\/17) assuming d is positive.\nAnswer: d**(1637\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41056\/51 - -805. Let f = 19.1 + -19. Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k + 70. Let p = k + 39. Solve 13 = 2*g - c, 0 = g - p*c - 4 - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -202650*l**2 + 8492*l - 2123. Let s(u) = 191*u**2 - 8*u + 2. Calculate 2*c(x) + 2123*s(x).\nAnswer: 193*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnnrnrrnnrnrrnrnrrnr. Give prob of picking 2 r.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37554 and -17.\nAnswer: 638418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*6*((-3 + sqrt(567))**2 - sqrt(567)) - 4*-3*(-2 + sqrt(567))) + -1)*3.\nAnswer: -62283 + 7128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 6.\nAnswer: -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + t + 12, 0 = -0*k - 4*k - 4*t + 32. Suppose -k*v - 4 = -4*v. Let w be (0\/(-1))\/(v - -2). Solve 3*c + 4 - 1 = w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, s: 1, n: 8}. Give prob of sequence bbns.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*i**4 - 260809*i**3 + 1177177*i + 1 wrt i.\nAnswer: -168*i**2 - 1564854*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*w + 234 = -298*w. Let v be 602\/w - 30\/195. Solve -5*i - 2*r - v = 0, -3*r = -2*i - 2*r - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18*h. Let k(r) = -r. Suppose -4*x + 77 = x + 2*g, 3*x - 3*g = 42. Let l be (9 + -7)*3\/6. Give l*o(j) + x*k(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-240)\/(-123) + 5200\/19188. Factor -10\/9*c - g*c**2 - 4\/3.\nAnswer: -2*(c + 2)*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 324\/(-63)*7\/(-2). Let l be (-4 - (-96)\/q) + 1\/(-3). Does 20 divide l\/(9\/(-12)) + 768\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*l + 9 = 3*q, l = -2*q + 3. Is (-7434)\/(q - 7) + 1 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + y + 154 = 4*q, -3*q + 2*y + 230 = 0. Suppose -618 = -5*b - q. What is the remainder when b is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -44, -81, -120, -155, -180?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(112)*2)**2 + 6*(sqrt(42)\/(-1*sqrt(6)) + sqrt(7)).\nAnswer: 80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (32\/4)\/(3\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2, -1\/11, 5, -178.\nAnswer: -178, -2\/5, -1\/11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 55*w + 5. Let i(p) = 10899*p - 10899*p + 3*p**2. Determine i(m(k)).\nAnswer: 9075*k**2 + 1650*k + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 5, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2869306*b**2*f**2 + b**2 + 3*b*f**3 + b - 7367470 wrt f?\nAnswer: 5738612*b**2*f + 9*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 733583227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -91*k - 113. Let y be o(-5). Let z = y + -94. Does 62 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3 = 2*p - 7, 24 = -4*p + k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + r + 25. Let l be k(0). Let a = 0 - -3. Let m = 8 - a. What is the highest common divisor of m and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666866565.\nAnswer: 3, 5, 17, 839, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 67 = 2*r + 3*d, r + d - 32 = 0. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5237 or 7442?\nAnswer: 5237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1435 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1\/(21*8\/12). Put 5, s, -2\/19, 0.2 in decreasing order.\nAnswer: 5, 0.2, s, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3799 by -77.\nAnswer: 3799\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34585805 - -22307839253\/645. Let z = n - -234\/43. Calculate the common denominator of z and -97\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3158810 is divided by 186.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g + 9 - 0. Calculate the highest common factor of 2115 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/175 + (2 - 12\/10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143 - 2279 - 117 + 436 - 2998)*(2*z**4 + 0*z**4 + 0*z**4) to the form i + j*z + u*z**3 + w*z**4 + l*z**2 and give w.\nAnswer: -9630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 3*u + 3. Let s(o) = -4*o**2 + 7*o - 7. Let k(h) = 3*s(h) + 7*v(h). What is g in k(g) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.2 - -32. Let j = 1.56 + 0.04. Let v = 2 - j. Put b, -3, v in decreasing order.\nAnswer: v, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p**3 + p**2 + 2*p + 5. What is the units digit of b(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 7*t = 473. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1852*m - 1860. What is n(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:13 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 3. Let l(a) = a + 2. Let s(v) = -4*l(v) - 3*n(v). Let h(r) = r**2 - 3*r + 3. Let z(y) = -h(y) + 3*s(y). Let o = 125 - 123. Determine z(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 + c + 5. Let p be h(4). Let o = p + 11. Solve o*u = u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176610?\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 1. Let x(b) = 2*b + 17. Let k be x(y). What is the tens digit of 531\/k + 10\/(-50) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o - 3*u - 250 - 617 = 0, -u = 4*o - 89 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1, -4, 6, -2\/15 in decreasing order.\nAnswer: 6, 1, 1\/8, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 9*c = 11*b - 51, 5*c + 28 = -2*b - 10 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 209.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -64*(-1 + 0)*1. Let q be (6\/(-2))\/(18\/354) + -5. Let t = q + i. Solve 3*x = 3*w - 12, t = -2*w + 5*w - 4*x - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + 1863?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1255, 1092, 927, 760, 591?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjvfdkf. What is prob of sequence jf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.6 and 0.428?\nAnswer: 11.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/2 + 6*c**3 - 7*c**2\/2 + 5*c - 9. Let f be b(-17). What is f rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -16*j**2 - 9\/2*j**4 + 8*j + 14*j**3 - 4. Factor q(w).\nAnswer: -2*(w - 1)*(3*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2 - 7*b - b**2 - 5*b**2 + 3*b wrt b?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120 - -201?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2 + 2696*x - 3803. What is c(-301)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 34 + 11999*q**3 + 66.\nAnswer: 11999*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120\/(-320) - (-2918)\/16 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -31 - ((11 - 39) + 38)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 = u, -4*u + 2*y + 84 - 12 = 0. Suppose u = 4*r + 4*l, -4*r - 2*l = -4*l - 14. Solve 4*q - 20 = r*i + 16, 4 = -i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, v: 1, o: 1, f: 2, a: 1}. Give prob of sequence vo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 3*r - 28. Let x be h(7). Suppose -16 = -m + p, 0 = m - x*m - 2*p - 21. What is the highest common divisor of m and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-10) - (-99)\/15. Suppose 0 = -m + 4*m - c. Solve -3 = 5*f + m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**5\/390 - c**4\/12 - 22*c**3\/39 + 60*c**2. Factor b(p).\nAnswer: -2*(p + 2)*(p + 11)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.837, -2\/11, 0.03 in decreasing order.\nAnswer: 0.03, -2\/11, -0.837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 29. Suppose 2*w + 6 = -p*h + 4*h, -h + 3*w - 1 = 0. Let s(t) = 3*t**2. Let g(k) = k. Give h*g(q) - s(q).\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1695, 1688, 1669, 1632, 1571, 1480, 1353?\n\"Answer: -b**3 + 1696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32, -2, 416 in decreasing order.\nAnswer: 416, 32, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 446 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37925.6 - -37968. Sort p, 2, 1 in increasing order.\nAnswer: 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 1. Let r be v(0). Suppose -2*g - r - 5 = 0, 5*u + 5*g - 510 = 0. Let p = u - 73. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j*v**5 - 6741*j*v**4 - 2*j*v**2 + 47*j*v + 2*v**2 - 15*v wrt v?\nAnswer: 120*j*v**2 - 161784*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9122 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/40)\/((-690)\/82800)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - k**2 + k**3 - 5*k**2 - 5 + k**2. Let h(j) = j + 2. Let q be h(2). Let p be x(q). Solve 5*s = -3*l, p*s + 3*l + 1 = l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 12*q + 20. Calculate v(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/3 + 1420*t**3\/3 - 5737*t**2 - 38678*t\/3 - 20048\/3 = 0. Calculate t.\nAnswer: -1432, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -10. Let u = i - -12. Factor -a**5 + 4 + 6*a**3 - 3*a - 2*a**5 + 3*a**4 - 3*a**u - 3*a**2 - 1.\nAnswer: -3*(a - 1)**3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 1406312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, o: 2}. Give prob of picking 1 n and 1 o.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/8 + 4071*k**3\/4 + 976047*k**2\/8 + 8152797*k\/2 + 40571055\/2 = 0. Calculate k.\nAnswer: -2590, -59, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and 9334 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 583424, 1166847, 1750270, 2333693?\nAnswer: 2917116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 4)*(-70 - 89 - 120)*(-2*p**4 + 4*p**2 + p**3 - p**3) as q*p**2 + k*p**4 + m*p + b + y*p**3 and give q.\nAnswer: 3348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60042 + -60044. Let z(d) = 5*d**3 - 2*d - 1. Let m be z(-1). What is the second biggest value in m, 15\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114939645 and 1017?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5245647675 - -5245647738.00000062. Let i = -63.51 + 0.51. Let n = o + i. What is n rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-62)\/372)\/(1*(3 - 4)). Sort 1338, j, -3 in decreasing order.\nAnswer: 1338, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 97029*u**2 + 3 + 97035*u**2.\nAnswer: 6*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24982 - 24916. What is the lowest common multiple of c and 2496?\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 16*i + 14*i. Let m(j) be the second derivative of 3*j - 9\/2*j**2 + 0 + 1\/12*j**4 + 0*j**i. What is m(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4))**21*r**(1\/7)*r**(1\/3))**(2\/39) assuming r is positive.\nAnswer: r**(-401\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*c**5*q - 1879*c**4*q + c*q - 6375231*c wrt c?\nAnswer: 1520*c**3*q - 22548*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -14*p + 0 + 8\/27*p**3 + 2\/9*p**2 + 1\/9*p**4. What is y in f(y) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2475463937\/713956 + -1\/178489. Let l = v + 3449. Find the common denominator of l and -9\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5257*a - 4178. Is q(-91) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1591*l = 1583 + 9554 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - (3 + 2 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**2 - f - 17. Let i(m) = 145*m**2 - 49*m**2 - 37*m**2 + m - 51*m**2 + 16. What is -7*i(v) - 6*q(v)?\nAnswer: -2*v**2 - v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**2 + 5 - 10 + 7*f - 5*f. Is a(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -83. Let s = -55.7 - y. Round s to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 261*x**3\/8 + 753*x**2\/8 + 54*x - 15\/2 = 0?\nAnswer: -2, -1, 10\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, -3, -0.01, 0.04 in ascending order.\nAnswer: -3, -0.01, 0.04, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/224)\/((-30)\/8)*(-38)\/(1596\/(-42)).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 2. Let o = i - -1.8. What is the biggest value in 1\/3, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -195, 6?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esxqxqeeeeeeeeqe. What is prob of picking 1 q and 1 e?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -65, 24, 2 in increasing order.\nAnswer: -65, -4\/9, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47\/37 - -5671\/4144. What is the common denominator of 81\/28 and i?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4740901*i + 33170 - 10386 = -4741157*i for i.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 804 and 6372.\nAnswer: 426924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 4*q + 67. Give a(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24388682, -24388680, -24388678?\nAnswer: -24388676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 at most -12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -15, 0.002 in increasing order.\nAnswer: -15, -5, -0.1, 0.002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-10))\/(20\/(-25)). Let z = -0.3 - -1.3. Let f = z - 2. Which is the smallest value? (a) f (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 6*z**2 - z + 14. What is the remainder when r(-7) is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3388213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**3\/6 + 2*b - 67. Let u(w) = 42*w + 2. Give u(s(x)).\nAnswer: -42*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-32) + 5\/(40\/(-2309)). Let t = g - -292. Put 1, -7, t in descending order.\nAnswer: t, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -g - 3*d + 2*d, 5*g + 2*d - 205 = 0. Suppose n + 33 = 119. Calculate the greatest common factor of n and g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -323a007 + -5?\nAnswer: -323a00c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -85642843480941 and 2.\nAnswer: -85642843480939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2. Let i(u) = u**2 + 3. Let v(f) = f**2 + 14. Let h(l) = -i(l) - v(l). Determine h(b(d)).\nAnswer: -72*d**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39\/164 + 1\/82. Let l(v) = -2*v**3 + 15*v**2 + 8*v + 8. Let x be l(8). Suppose 3 = x*b - 5. What is the second smallest value in a, b, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:58 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/20 + a**4 - 5*a**3\/3 + 4*a**2 - 12*a. Suppose 126 = 10*v + 16. Is x(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1283*p + 22602 = -5897*p - 286536 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 15, 9, -13, -57, -129, -235?\n\"Answer: -q**3 + q**2 + 8*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 2:40 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -0.62 (c) -0.5 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 6*i**2 + 2*i + 8. Let m be k(-6). Let d be (-6)\/m - 4\/4. Let t = -20 + 19.5. Which is the closest to d? (a) 0 (b) -3\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.04 in 3, 2\/11, -2, -2\/5, -761?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 64272.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 910153428.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 69 = 729. Is p > 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(-51)*((-243)\/270)\/((-48)\/(-25)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 4034809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*l - 3*l + 3*l)*(-4 + 3 + 2)*(-3*l**4 - 3*l**4 + 3*l**4)*(-25 - 7 - 11)*(-3 - 3 + 5).\nAnswer: 2838*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-105)\/(-12) + (-2)\/(-8). Let a = g + -5. Calculate the highest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/7724 and 79\/625482?\nAnswer: 2415611484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26316?\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 32*o**3 + 4*o**2 + 47*o - 4. Let b(j) = 33*j**3 + 3*j**2 + 47*j - 3. Let d(p) = -4*b(p) + 3*h(p). What is the second derivative of d(c) wrt c?\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.298, 7, 3, -2\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 30*f**2 + 3*f**2 + 8*f**2 + 9*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 441*v + 116*v**2 - 441*v - 4 - 2*v**2 + 4 + (2*v**2 + 0*v**2 + 0*v**2)*(3 - 1 + 0) + 3*v**2 + 2*v**2 - 3*v**2 to the form q*v**2 + y*v + p and give q.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 21 + 0*j + 8 - 12.\nAnswer: 5*j - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 4. Let x(p) = -5*p + 156. Let h be x(25). Suppose -b*r + o = -69, r - h = -2*o + 5*o. Calculate the smallest common multiple of r and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -360463364 + -2?\nAnswer: -360463366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 3670576.\nAnswer: -1835288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*n - 12 - 43, -4*n = -2*z + 90. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -31, -56, -101, -172, -275?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 1 - 2137*j**3 + 483*j**2 + 481*j**2 + 2 - 966*j**2 to y*j**2 + b*j**3 + k + g*j and give b.\nAnswer: -2137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**1\/f)*f)**(-32)\/(f\/(f*f\/(f**1\/f)))**17 assuming f is positive.\nAnswer: f**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54605 and 39865?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 - 10\/45. Suppose d = 3*b - b + 3188. Let v = -17561\/11 - b. Find the common denominator of -127\/6 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*r - 129*r = 186*r - 1233 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.415 - 0.415. Which is the nearest to 2? (a) h (b) 0.5 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1264 - 1259. Solve -z + 1 = c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1.23, -3\/2 in decreasing order.\nAnswer: -1.23, -3\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = -4*h, -3*t = -6*h + h - 24. Let y = 21.8 + -18.4. Let p = y - 4.1. What is the second biggest value in h, -4, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) - 24\/(-10). Let q = 287 - 273. What is the highest common factor of m and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 30. Find the second derivative of 3*k**s - 9*k - 3*k**2 + 11*k**2 wrt k.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2. Suppose 1 = 3*s + 7. Calculate c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - j + y + 1477, 4*y + 507 = j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3298366 and 376?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 - 5*g + 2. Let q = -41 - -43. Let y be l(q). Let i = 22 - y. What is the remainder when i is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1763200529.\nAnswer: 167, 10558087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y - 4. Factor -2*n + 6*n + 2*n**y - 4*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 250822 and 250822?\nAnswer: 250822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 + 22*q**3 - 67*q?\nAnswer: -12*q**2 + 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-2)\/(-4)*22. Suppose 3*h + 2*x = -9, -4*x - c = 5*h + 6. What is the units digit of 4\/((-3)\/(-2) + h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/20886204 and -8\/111.\nAnswer: 20886204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 4*w - 50 = 0. What is the third smallest value in w, 0.3, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46707, -46708, -46709, -46710?\n\"Answer: -y - 46706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-5) - (2454 + -2452)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -533 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -2*n + 7*n. Suppose -5*h = o - 17, 6 - 1 = 4*o - h. Suppose o*v - 18 = n. Solve 2*c = c + 5*d - 15, 0 = -5*c - 2*d + v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323 is divided by 50.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(0 + 9629*c - 25681*c - 15097*c + 0)*(-4*c + 5*c - 3*c).\nAnswer: -124596*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2173743038 + 0.4\nAnswer: 2173743038.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*w - w + 128, -w + 36 = 3*u. Suppose -2*y + w = y. Let x = 1 + y. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s**2. Let l(r) = -30*r**2 - 14*r - 14. Let b(x) = -6*x**2 - 3*x - 3. Let n(f) = -14*b(f) + 3*l(f). Calculate o(n(k)).\nAnswer: 396*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4 + (-98)\/(-24)). Solve -3*d = y - 3 - 6, -h = -5*y - 4*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8159073 and 627621?\nAnswer: 8159073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4752) + 1*sqrt(4752) + sqrt(4752))*4 + sqrt(4752))\/((sqrt(22) + (1*sqrt(110))\/sqrt(5))\/sqrt(2)).\nAnswer: 78*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336243?\nAnswer: 3, 17, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - -2.4. Let c = -1 + b. Let n = 1023\/8551 + -1\/503. Sort n, c, -2, 1 in decreasing order.\nAnswer: 1, c, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 - 108 = 0. Let t = 10830 - 227503\/21. Let j = 176\/7 + t. Are j and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - -36.05. Let s = p - 26. Let z = s + -9. Which is the biggest value? (a) z (b) -4\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -s + 38499, 742*s - 747*s + 192378 = 3*t. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2956, 4061, 5994, 8755?\nAnswer: 12344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 17. What is the highest common factor of t and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r)**(-1\/25)\/(((r\/(((r*(r**(-4\/9)\/r*r)\/r)\/r)\/r*r*r))\/r)\/r*r\/(r**9*r)) assuming r is positive.\nAnswer: r**(2186\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 118 from -116.7414.\nAnswer: -234.7414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 41717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6 + -1)*-9. Solve -5*y - 37 = -3*i, -o*i - i - 3*y = -1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-390)\/(-90))\/(35\/(-105)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a + 820. What are the prime factors of l(43)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/30))**(-6\/5))**(-1\/6) assuming x is positive.\nAnswer: x**(-1\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from yqrjqwwww?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/936 and 19\/187168.\nAnswer: 21898656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnz when three letters picked without replacement from {n: 6, m: 2, z: 9}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from ghttgahaahhcha.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22137 + -22138. Which is smaller: 142\/357 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2204094.99895 - -20.00105. Let o = y - 2203956.0089. Let c = o - 159. Round c to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 2, h: 3, k: 4}. What is prob of sequence kf?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2467 and 3?\nAnswer: 7401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.178 + -0.608. Let w = y - 5.57. Is -6 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 5*h + 31268 - 31318, h - 16 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -8, 2\/3, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2312 divide 52225406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13277 and 2414497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -488 or -126313?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - 45*p**2 - 22*p - 22. Let m be f(23). Let y(k) = -k**3 - k - 1. Let h(t) = -4*t**3 + 2*t**2 - 5*t - 6. Determine m*h(d) - 6*y(d).\nAnswer: 2*d**3 + 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 76 = -31*w + 30*w. Calculate the highest common divisor of 361 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -11, -2?\n\"Answer: 9*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 4, 10 in ascending order.\nAnswer: -4, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {c: 2, t: 2, n: 4, o: 2, d: 2, q: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/6 - o**2. Let c(t) be the third derivative of t**5\/12 + 12*t**2 - 3. Calculate f(c(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - n + 14. Let g(b) = -4. Let s(t) = 3. Let v(p) = 4*g(p) + 6*s(p). Let x(h) = -a(h) - 5*v(h). Give x(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494768744?\nAnswer: 2, 61846093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttk when three letters picked without replacement from kkkkkkkkkkktkkkkktk?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v = -352. Let i = v - -230. Let s = i - -36. Is s a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 0, -1\/2, 1\/3, -0.012, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 196302.\nAnswer: 1\/196302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + c + 2*c**3)*(-3*c + 0*c + c) - 86*c**4 - 947 + 947 to the form w*c**2 + z*c**3 + k*c**4 + x + f*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757977580 to the nearest integer?\nAnswer: 27531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29475274*n - 43105348*n - 14252386*n + 20759888*n.\nAnswer: -66073120*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + 6 + 4 + (-1 - -32)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -162*l**3 + 20*l**2 - 41*l + 7. Give j(2).\nAnswer: -1291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnmqmpmmqpnppmm. Give prob of picking 1 q and 2 m.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - q - 3*q)*(202 + 135*q - 202)*(2*q + 3*q - 4*q) to t + n*q**2 + g*q**3 + d*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 216 + -111. Let f = 131 - k. Is f greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/35 + 1709\/280. Find the common denominator of 9\/130 and t.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, l: 2, s: 8}. Give prob of sequence vv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/201108 and 53\/12.\nAnswer: 201108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64634606.\nAnswer: 2, 32317303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v + 12 = 0. Suppose 0 = v*y - 2*u - 20, 0*u - 2*u = -y + 8. Let k(j) be the first derivative of j**3\/3 - 3*j**2\/2 - 5*j + 1. Calculate k(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5071315632?\nAnswer: 2, 3, 23, 199721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(567)*2)**2 - sqrt(7) - sqrt(7))*-4 - (sqrt(42) + 5*sqrt(168)\/sqrt(4))\/sqrt(6).\nAnswer: -9072 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43419 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1791 - 1789. Which is the closest to z? (a) -2\/11 (b) -3.3 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 51e?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17*l**3 - 2*l**2 - 2*l + 2. What is the tens digit of m(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 191*l - 15. Let v(o) = -64*o + 5. Let k(g) = 3*s(g) + 8*v(g). Calculate the remainder when k(2) is divided by ((12\/(-12))\/((-1)\/17))\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -35. Let z = h - 40. Let j = z + 26. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138346 is divided by 183?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -18. Let v = 11524504.00000029 - 11524509. Let l = v - o. What is l rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*d + 4 - 4 - 139*d in the form m + p*d and give p.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 167957 and -6458.\nAnswer: -1084666306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -578, -1153, -1726, -2297, -2866, -3433?\n\"Answer: n**2 - 578*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3 + 6. Suppose -5*k - 2*s = -23, 0*k - 5*s = -x*k - 11. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1361\/5 + -273. Let d = -1 - -1.1. Let s = -2133758\/5 + 426752. What is the second smallest value in s, r, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1287)\/(-81) + 23 + -39?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -652 divided by -163.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1349297, -1349296, -1349295, -1349294, -1349293, -1349292?\n\"Answer: q - 1349298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5629 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: Suppose -10*r**5\/3 + 398*r**4\/3 + 1370*r**3\/3 + 86*r**2 = 0. What is r?\nAnswer: -3, -1\/5, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66.23 + -66.03. Which is the closest to 1\/5? (a) 11 (b) 3\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110151 (base 10) to base 12.\nAnswer: -538b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 395, 957, 1755, 2795, 4083, 5625, 7427?\n\"Answer: m**3 + 109*m**2 - 2*m - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 71903*n**2 + n - 6*n**3 + 71906*n**2 - 12 - 215718*n**2 + 71899*n**2 in the form i*n + u + k*n**2 + p*n**3 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 8*l**2 - 2*l - 14. Let c be i(-8). Let h = 5 - 3. Solve c*q = -h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-20975.\nAnswer: -104875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = g + 51, 3*g + 156 = 4*z - 48. Let l = z - 72. What is the tens digit of (3\/l)\/(-1) + 1992\/21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b + 320. Suppose -b = -2*w - 2*w. What is the greatest common divisor of w and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 (base 11) in base 9?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - (sqrt(187) + sqrt(187) + -1*sqrt(187))*1) - (sqrt(187) - sqrt(187)*2)*-6)\/(sqrt(77)\/sqrt(28) - sqrt(1331)*2).\nAnswer: 10*sqrt(17)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4510 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 251 = 3*c - 232, 2*s + 4 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/11)*k**4\/k*k**(-2\/17)\/k*(k**(-5\/6)*k)\/k*k*((k*(k\/k**0)\/k*k)\/k*k*k\/((k*k**(-1\/13))\/k))**(-7) assuming k is positive.\nAnswer: k**(-281621\/14586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 - 824*k**3 + 2484*k**2 - 2488*k + 830.\nAnswer: -2*(k - 1)**3*(k + 415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 - 33*l + 6. What is the lowest common multiple of u(-11) and 183?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/180 - 2*l**3\/3 - 3*l**2. Let z(x) be the first derivative of g(x). Let u(i) = -7*i**2. Give u(z(f)).\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1736 and 7308?\nAnswer: 453096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 571536934 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: What is -8 + (-130)\/(-16) - (-55)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 235 (b) 3\/7 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*d**3 + 13*d**3 + 8*d**3 + d**2 to r*d**3 + l + v*d + t*d**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 5*p**2 + 6*p**2 - p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xttxt. Give prob of sequence xt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 222444\nAnswer: -17\/37074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/1302*17515\/10?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -65. What is x in -14*x**4 + 8*x - 44*x**3 - 124*x**2 + 104*x**2 - t*x**4 = 0?\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 251310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2715, -5398, -8079, -10758, -13435, -16110?\n\"Answer: s**2 - 2686*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*2\/14 - 372\/651. Let z be (-2 - (-16)\/6)*6. Sort z, x, -1, 1.\nAnswer: -1, x, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304545 and 2765?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109410153 a multiple of 4139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40132809 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-24)*((-157204)\/(-8) + 4). Let b = m + 18403. Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -212 - 262. Let j = -470 - v. Which is the third biggest value? (a) 3 (b) j (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/30*15\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -963525 divided by -5?\nAnswer: 192705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from tttjtjtttt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 20\/3*k**3 + 0*k**4 + 3 + 0*k + 0*k**2 + 0*k**5 + 0*k**6 - 23\/7*k**7. Find the third derivative of a(z) wrt z.\nAnswer: -2760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 36 = -12. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 23*k**2 + 110*k - 20. What is m(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2 = -21*c. Solve 0 = -0*x - 5*x + 2*g - 4, c = -x + 5*g + 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 78, 160, 316, 570, 946?\nAnswer: 1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2554 - 678 = -434*z - 3064 - 8514 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -768 + 524. Let p = -46 - m. Suppose 0 = -5*a + p - 28. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12975 divided by -173.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3107313, -6214631, -9321949, -12429267?\nAnswer: -15536585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2. Let a = 2 - -5. Let u(y) = -10*y - 5 - 4 + 2. Let x(l) = 7*l + 5. Let m(z) = a*x(z) + 5*u(z). Calculate d(m(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.5 (c) 4.2 (d) 0.6 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8988 is divided by 155?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, -3\/5, 2908, 4, 6\/31?\nAnswer: 2908","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - -16. Suppose -223 = 2*m - d. Let w = 203 + m. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 46619\/1380 and 34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -7*x - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a - 31 + 407. Solve a = 7*p + 68 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 31 = -38*g - 74 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 35776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053 is divided by 173.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3439000025.\nAnswer: 5, 137560001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udoedouqdeudooquo. Give prob of picking 1 q, 1 u, and 1 o.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -22, -3 in decreasing order.\nAnswer: 2, -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(11) + -1)**2 - sqrt(11)) - sqrt(77)\/(sqrt(7)*-3) - 2*4*((1 + sqrt(11))**2 + -1))*3.\nAnswer: -74*sqrt(11) - 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-549)\/21 - (-4)\/28. Let o = -24 - v. Solve -o*k = -3*k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2519482*o**4 - 10*o + 116540451 wrt o?\nAnswer: -10077928*o**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) - (sqrt(2268) - sqrt(2268)*2)*-2)\/(-2*sqrt(196)*1).\nAnswer: 9*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2*y - 24*n*y**2 + 2*n + 193*y**2 + 2 with respect to n.\nAnswer: 4*n*y - 24*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 8192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = -566*p + 683*p. Let q(k) be the first derivative of 0*k**3 + 0*k + 0*k**2 - 20 + 1\/14*k**p + 2\/7*k**5 + 4\/21*k**6. Find z, given that q(z) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.3 (b) -2 (c) -1.5 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-z**2 - z**2 + 4*z**2) + 784*z**2 - 254*z**2 + 507*z**2.\nAnswer: 1039*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i*i\/(i*i*i*i**(-1\/11)\/i*i)))*i))**(-33)*(i*i\/((i*i\/i**0*i)\/i)*i*i)\/(i*i**4\/i) assuming i is positive.\nAnswer: i**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4077, -9310, -14543, -19776, -25009?\n\"Answer: -5233*p + 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2.07, 2, 4?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 28, -1, -1051, 2 in increasing order.\nAnswer: -1051, -4, -1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22196 * 9307\nAnswer: 206578172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 7*n**5 - 285*n**4 + 2053*n**3 + 5769*n**2 + 4204*n + 780 = 0?\nAnswer: -1, -2\/7, 13, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-12) - (-42)\/18. Solve -2*m + 0*m = x, -11 = 2*y + m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**16*u\/u**(1\/3)*(u**(-2))**(3\/16) assuming u is positive.\nAnswer: u**(391\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 7*p**3\/12 + 711*p**2\/2 + 203*p + 3105. Factor w(t).\nAnswer: (t + 406)*(7*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2*-6)**2 + sqrt(171).\nAnswer: 3*sqrt(19) + 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 14*t**2 + 3*t - 2. Let q be r(2). What is the greatest common factor of q and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 3*t**3 + 2*t + (t**3 - 5*t**3 + 3*t**3)*(1 - 2 + 2) - t**3 - 4*t - 2*t + 2*t - 1.\nAnswer: t**3 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -199 + 263. Suppose o + 10*q - 130 = 5*q, -o + 100 = -5*q. Suppose -o = n*i - 69*i. Calculate the remainder when 68 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -375 (base 16) to base 8.\nAnswer: -1565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1474\/536 - 170\/56. Which is bigger: n or -111\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 + 5*t - 5*t + t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 20*p + 4*p + 7*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -898, -1794, -2690?\n\"Answer: -896*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 12. Calculate the least common multiple of 3 and z(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 684?\nAnswer: -205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3602645992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3057800 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174*v + 23*v**3 - 1 + 1174*v.\nAnswer: 23*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3)\/t**(5\/6))\/(t\/((((t*(t**(-3\/4)\/t)\/t)\/t)\/t)\/t)*t)**(2\/3))**(2\/43) assuming t is positive.\nAnswer: t**(-28\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16553*j**2 - 17096. Let d(i) = -2759*i**2 - 2846. Let b(c) = 13*d(c) - 2*y(c). What is the first derivative of b(t) wrt t?\nAnswer: -5522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23 and 465\/(-30)*(-2)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 6:26 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*p + 15800, 4*p - 3*a = 3*p + 7900. What is p rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 7:36 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1352 = 227. Let h = -120 - u. Calculate the remainder when 23 is divided by (4\/10)\/(7\/h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -231 + 4774?\nAnswer: 4543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*(w*w**(-8))\/w*(w\/w**1)\/w*w**(-1\/3)*(w\/(w*w\/w**(-1\/4)))**0\/(w\/w**9*w\/w**(2\/11)) assuming w is positive.\nAnswer: w**(28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -42. Let r = g - -69. Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 23 + (-2 + 3)*-4. Suppose 66582 = h*p + 11302. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1352 - -5?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -61, -89, -117?\n\"Answer: -28*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 19 + 1 + (-134 - -121)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402.98 + 403. Sort -0.5, -8, l.\nAnswer: -8, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(57)\/(sqrt(3) + sqrt(108)\/sqrt(4)) + (2 + sqrt(1539))**2 + 1*(sqrt(133)\/sqrt(7))**2.\nAnswer: 145*sqrt(19)\/4 + 1562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -134 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 225.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16429, 2 in descending order.\nAnswer: 2, 1, -16429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -241 (b) -82 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z - 45. Let p be i(11). What is the greatest common factor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2108*r**2 + 1304.\nAnswer: 4216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0428727396 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(343))*3 + 3 + (-3 + sqrt(448) + 0)**2.\nAnswer: -27*sqrt(7) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 7. Let t(g) = -1. What is -a(b) + 3*t(b)?\nAnswer: b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let n be (3 - 1) + c + 9. Solve -y = -2*s + 9, 2*y = -y - 3*s + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.4 (c) 2\/7 (d) 618206 (e) 5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34220\/(-649) - -34 - 8\/(-11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 67, 81, 81, 61, 15, -63?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*r - 26. Suppose 0 = -3*t - 5*h + r, 5*h = 2*t - t - 11. Let n(k) = 35*k - 30. Is 15 a factor of n(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 22, 49, 86, 133?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2479 and 25288279?\nAnswer: 2479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47703067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.53473 hours to days.\nAnswer: 1.23061375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*j = -4379*j - 48840 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(112)\/(sqrt(28)\/sqrt(4)))\/(sqrt(16)\/(sqrt(2) + sqrt(8)) - sqrt(8) - sqrt(8)))**2.\nAnswer: -57\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 5 (c) -6 (d) 5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04189 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55452984, 55452981, 55452978, 55452975, 55452972, 55452969?\nAnswer: 55452966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 19*z**2 + 26*z + 4. Let o = 685 + -679. Let v be n(o). Is -93 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 + 7652*m**2 - 8819284*m + 8811628 = 0. What is m?\nAnswer: -2723, 1, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/186 and -71\/93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 25, 0 = -3*p + 4*d + 1 - 33 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Suppose 4 = -2*w + h, 5 = -l*w - 3*h - 3. Which is smaller: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5378*p - 1346*p - 1340*p - 1347*p - 1346*p - 581.\nAnswer: -p - 581","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.578 + 7.578. What is the closest to 2 in k, -3\/2, 3\/170, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 41*m**2 + 8*m + 85. Let q(t) = -27*t**2 + 5*t + 56. Let b(a) = 8*q(a) - 5*r(a). Differentiate b(u) with respect to u.\nAnswer: 15*u**2 - 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 - 12) - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.01243 - -0.01243. Let z be ((-2)\/4)\/(1\/16). Put 2\/9, 1\/3, z, l in descending order.\nAnswer: 1\/3, 2\/9, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) 4639\/173 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-4)*-1*(-8)\/40?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -96. Solve 0 = g - w, 2*w = -i*w + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + 0.3. Let d = z + -0.8. Suppose -3*y + 3 = 0, -4*v = -2*v - 5*y - 1. Is v smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -167*w**4 - 81*w**3 - 11782*w**2?\nAnswer: -4008*w - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.98 + 0.02. Let l = s + -45.00038. Round l to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3361 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16914*h**5 + 2068*h - 14.\nAnswer: 338280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -2, 45 in descending order.\nAnswer: 45, 8, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2506840 divided by -4\nAnswer: 626710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 2*w + 1 + 2*w + (0 - 4 + 3 - 56 - 204 - 192 + (-2 + 2 + 2)*(-6 + 2 + 3))*(-w - 2 + 2)*(0*w - 3*w - w).\nAnswer: -1819*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -682, -2677, -5986, -10597, -16498, -23677, -32122?\n\"Answer: 2*v**3 - 669*v**2 - 2*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4570a (base 13) to base 5\nAnswer: -13021142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u + 15*u - 6*u. Let f(h) = 91*h. What is s(f(j))?\nAnswer: -182*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 106 = 42. Let i = 14 + d. Let q = -5.8 + 6. Which is the nearest to -0.1? (a) 0.1 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 29*p + 232. Determine u(-23).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 - s + 19. Let n(t) = 7*t**2 - t + 37. Let q(k) = 11*m(k) - 6*n(k). Let v be q(4). Sort v, 4, 5, 2 in ascending order.\nAnswer: v, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 16*j**2 - 2*j + 14. Let c = 7 - -1. Let y be h(c). Let i = -37\/15 - -4\/5. Which is greater: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + (2*sqrt(187) + sqrt(187))*-2)*3)\/(sqrt(1331) - -6*2*sqrt(1331)))**2.\nAnswer: 3825\/20449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3246 and 11902?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 4 = 10*r. Let f = r - -2. Suppose 0*q - q + 19 = 5*d, -3*q + 3*d + 111 = f. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 112*r - 5. Let s(n) = n**2. Calculate s(z(b)).\nAnswer: 12544*b**2 - 1120*b + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50899105 to the nearest integer?\nAnswer: 7134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*u**3*z - 1109*k**2*u**2*z**2 - 2*k*u**3*z - 155*u**3*z**2 wrt k?\nAnswer: 4*u**3*z - 2218*u**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 49*w - 432 = -76*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12558\/(-52325)*(-10)\/(-5)?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2643*s - 2660*s - 2643*s + 7933*s.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0*s + 0*s**6 + 0 + 31*s**2 + 0*s**3 - 17\/24*s**4 - 1\/7*s**7 + 0*s**5. What is the second derivative of b(d) wrt d?\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -3. Suppose 3*x + m - 66 = 0. What is the remainder when 52 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104847*d**2*l**2*w - 14*d**2*l**2 + 304*d**2*l*w + 4*d**2 - 208*d*l*w + d*l - 2*l**2*w wrt l?\nAnswer: -209694*d**2*w - 28*d**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -2, 3\/4, -4770?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -182 + -57. Let a = -254.9 - c. Round a to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -14, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*k - 7*k. Suppose -p = -4 - k. What is the remainder when p is divided by (-4 - -2) + 6\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 4*x - 5. Let j be -2*(5 + 9\/(-2)). Let m be y(j). What is m rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 579 = 5*o, z + 3*z + 12 = 0. Let s = o - 68. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(1\/2)\/(q*q**(2\/5)*q)**(4\/17) assuming q is positive.\nAnswer: q**(-181\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6020, 26, -3\/4, 0, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 18*b = -20*m - 62, m - 3*b + 14 = 0 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**2\/2 - 5. Let l = -4 - -7. Let y(i) = -3*i + 5*i**2 + l*i - 2*i**2. What is y(q(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/54 - ((-46310)\/297 + -11). Which is smaller: 168 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -65569*w - 1. Let l be v(1). Let q = -114570 - l. What is q rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2\/2 + 1641*g\/4 + 819\/4 = 0 for g.\nAnswer: -273, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 8. Suppose 0 = 3*v + 299 - 83. Let r = -147\/2 - v. Which is the second biggest value? (a) u (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g - 16. Suppose 13 = m - g. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 278*b + 19. Suppose 0 = 3*s + 7*y - 8*y + 1, 3*y - 11 = s. What is the units digit of m(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91474?\nAnswer: 2, 45737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63760 is divided by 442?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -2\/7*c**3 - 188*c**2 - 1\/420*c**6 + 0*c + 1\/12*c**4 + 0*c**5 + 0. What is q in z(q) = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2871 + -2583. What is the remainder when k is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218261287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13113 (base 7) to base 14.\nAnswer: -13b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2215 (b) 5 (c) 4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -26*y + 14. Let s(r) be the second derivative of -2*r**3 + 3*r**2 - r + 1. Let g(j) = 14*s(j) - 6*z(j). What is g(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**11*d**(3\/4)*d)\/(d**(-3)\/(d\/d**10)) assuming d is positive.\nAnswer: d**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1893b (base 13) to base 3\nAnswer: 2102102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-7651)\/(-10930))\/((-7)\/(-25))*(-1)\/(-115)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/3 + 55*a**2\/6 + 79*a\/6 + 13\/3 = 0.\nAnswer: -26, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {o: 4, s: 2, n: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 13 = 9. Is -27\/5 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**3 - 4*r**2 + 7*r. Let w(d) = -15*d**3 + 11*d**2 - 20*d. Determine 17*c(a) + 6*w(a).\nAnswer: -5*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/30*-4*2\/(-16). What is the third biggest value in -1\/2, q, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + 18*l - 8. Let a be b(4). Solve a = 4*o - 0*v + 3*v - 18, -o + 11 = 4*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/(-50) + -6)*-5*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -63337286*2\nAnswer: -126674572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:57 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*v + 2334*v + 52082 = -1258 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-91))\/(-2*(-6)\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427110 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(1\/3)))**(41\/5))**(-4\/7) assuming q is positive.\nAnswer: q**(164\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 515\/1648*(-1168)\/949\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/4 + 12777*t**4 + 868095*t**3\/4 + 1072197*t**2\/2 = 0. Calculate t.\nAnswer: -17019, -14, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.56849 nanometers in micrometers?\nAnswer: 0.05356849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.4156086 to two dps.\nAnswer: -193.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2571.324g to milligrams.\nAnswer: 2571324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/4)\/(21\/(-504)). Let h(j) = -3*j + 56. Let q be h(n). Let p(o) = 6*o**2 - 4*o + 8. List the prime factors of p(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**8\/336 - p**6\/180 - p**3 + 3*p**2. Let m(a) be the first derivative of u(a). Find the third derivative of m(l) wrt l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + 202. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30c + 4?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 8*m**2 + 8*m - 4. Let x be p(-6). Suppose -3*k + x = -7*k. Let d = k + 8. Solve 35 = 5*q - 8*i + 3*i, -d*q = -4*i - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + -6)*(-8)\/20. Let d(b) = -b**3 - 5*b**2 + 5*b. Let i be d(-6). Suppose 5*j - 100 = w*u, 2*j = i*j - 2*u - 80. Round j to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/(-290))\/((-281)\/(-16298))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 53794?\nAnswer: 53794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1809 + (20\/(-5) - -3). Let r = -7151\/4 + w. What is the common denominator of -101\/22 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 498, 2794, 8094, 17604, 32530, 54078?\n\"Answer: 201*n**3 + 296*n**2 + n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 4*v**2 + 10*v - 1. Let b(x) = 3*x**3 + 13*x**2 + 29*x - 2. Let d(n) = 3*b(n) - 8*y(n). Let p = 0 + -6. Determine d(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290708239 + -290708530.9999372. Let o = 292 + z. Round o to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11319425 is divided by 486.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16142 - -18?\nAnswer: -16125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-221)\/(-4) - (-1)\/(-4). Suppose -t - 131 = 2*p + 52, t = 4*p + 357. Let w be (p\/120)\/((-3)\/(-2))*-10. Calculate the highest common factor of w and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2000*d**3 - 275*d**2. Let y(n) = 29*n**3 + 58552*n - 58552*n - 4*n**2. Give -4*b(u) + 275*y(u).\nAnswer: -25*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f**4 - 20\/13*f**3 - 8\/13 - 30\/13*f - 40\/13*f**2 + 2\/13*f**5 = 0. What is f?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 50. What is the remainder when 86 is divided by w(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83712 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:04 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/46 - (-150)\/(-1725).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 9*z**3 + 2*z**3)*(8*z + 2*z - 39*z) + (3*z**3 + 3*z**3 - 5*z**3)*(-2 - z + 2).\nAnswer: -349*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + n + 10. Suppose -n*c + 0 + 9 = -3*a, -3*a = -6. Suppose -2*z + 13 = c*h, -4*z - 6*h = -2*h - 16. Let q(d) = 2*d**2. Calculate q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*27\/(-18) + -107809. What is o rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.74 + -5. Let z = -0.6 + f. Let l = z - -0.36. Sort 0.1, l, 1\/5 in descending order.\nAnswer: l, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -34 - 7 - 5*q - 26*q**2 + 27*q**2. What is the remainder when i(13) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + 72. Suppose k = 2*l + 2*l. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7147?\nAnswer: 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-28)*-2)\/(34929\/108668).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 18. Suppose -a + y = -0*a. Suppose -d = -6 - a. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 6 - 8 - 58\/(-14) - -1.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25533, -51372, -77517, -103968, -130725, -157788?\n\"Answer: -153*l**2 - 25380*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 381421 by 1.\nAnswer: 381421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 0.4, -2\/3, 0.127, 2, 25?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 6. Let r = 0.16 + -0.14. Let k = r + -0.12. Sort 0, k, z in decreasing order.\nAnswer: 0, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**3 + 78*q**2 + 963*q + 146. Give p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = 2*m. Solve -4*a + x = -16, -2*a - x - m*x = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25655 + 234. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = t - 6*t. Let y = 15 - -10. Calculate the remainder when y is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 + 134. Let q(k) = -5*k - 5. Let t be q(-6). Calculate the remainder when 78 is divided by 25*(10\/t - (-4)\/s).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*(u*u**(-1)*u*u)\/u*u))*u**7*(u**(1\/2))**(-4\/17))\/(u**6\/u*u*u*u*u\/u**(-2\/9)*u)**13 assuming u is positive.\nAnswer: u**(-18667\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 4*h**2 + 4*h - 2. Let u be x(3). Let d = 0 - u. Let m = 112\/15 + -38\/5. Is d at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1110010001110?\nAnswer: 1110010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (-3)\/(1 - -2). What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-1664) + 140\/(-455).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5222.4 - -5222. Which is the nearest to -18.9? (a) 2\/13 (b) 3 (c) x (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104372839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.9 - 4.9. Let x = 76\/3 - 25. What is the smallest value in b, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147653 + 448034\/3. Let m = 1660 - q. Let f = m - -32. Sort f, 0.1, -3\/2 in ascending order.\nAnswer: -3\/2, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152\/35 at least -34169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -262212 and -1120.\nAnswer: -263332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = 12 - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10181 - -10210. Solve w = q - 5*r, q - 3*q + 3 = r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -18. Let r = 8 + j. Solve -5*o = d - 21, -r*o = 2*d - 0*d - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456348 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + 41*r**2 - 25*r**2 - 7*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/(-3)*4)\/(3\/9). Let j = 44 + b. Solve c + j = 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339.8122um to meters.\nAnswer: 0.0003398122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*h**4 + 31*h**2?\nAnswer: -2160*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 116*r - 8. Let g(z) = 6*z**2 + 334*z - 23. Give -6*g(y) + 17*u(y).\nAnswer: -2*y**2 - 32*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 971080 = 509*a - 421*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11*z. Let j(b) = 116 - 7*b**2 - 116. What is j(n(r))?\nAnswer: -847*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110584 + -64534. List the prime factors of l.\nAnswer: 2, 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 157201?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*v - 3\/5*v**2 + 0.\nAnswer: -3*v*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 148? (a) -1139 (b) 5 (c) -88 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 0*y**2 + 3*y**2. Let n be s(1). Solve 0 = -5*o + 10*o - 3*v - 16, -3*o + n = v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 228885219 and -10?\nAnswer: 228885229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -14\/9, -0.9, -4\/3.\nAnswer: -14\/9, -4\/3, -0.9, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 966 + 115?\nAnswer: a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + -1)\/(-5*(-10)\/(-1050)). Suppose -3*t = -4*s - t + 182, -4*s - 5*t = -n. Are 41 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 916 and 28136.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 != -35317\/399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 296.9563 + -237.41136. Let m = -0.53606 - q. Let z = 60 + m. What is z rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1860, 1857, 1850, 1833, 1800, 1745?\nAnswer: 1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 10790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 48.99999082. What is a rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y + 803 - 810 - 2*y - 3*y. What is x(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 2:28 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-20)*(-2)\/(-8). Let k = -1 + 2.3. Let p = k - 0.9. What is the biggest value in 5, u, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 517*c**3 + 304*c - 1045*c**3 + 536*c**3 to the form x + h*c**2 + o*c**3 + l*c and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 8*t**3\/3 + 6*t**2 + 4*t + 72. Let p be g(-3). Solve p*b = 35*b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 21. Suppose -3*m = -6*m + w. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001111111100100100 (base 2) to base 5\nAnswer: 122331404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/4 - i**4 + i**3\/4 + i**2 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 21368949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n - 3. Let y be d(-1). Differentiate -52 - 215*w**2 - 7*w**y + 215*w**2 with respect to w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 4*h + 22, -2*h = 196*j - 198*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3236*o - 3233*o + 9 = -0. Put -1307, o, 5 in increasing order.\nAnswer: -1307, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(2*b - b - 3*b)*(-2*b**3 + 2*b**3 + 3*b**3).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 883658*j - 883660.\nAnswer: 2*(j - 1)*(j + 441830)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -9, -0.2, -4, 0.4, -4\/5.\nAnswer: -9, -4, -4\/5, -2\/9, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 + 2*z**2 - 4*z. What is the hundreds digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 23*k**2 + 11*k - 1. Determine m(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 2 - 28\/3*d**3 + 0*d + 132*d**2 - 2*d**4 + 1\/60*d**6 - 1\/10*d**5. Factor y(u).\nAnswer: 2*(u - 7)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 22 - (6 - (-15 - -30))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/(1*5\/1275). Suppose -12 = -2*p - 0. What is the highest common factor of j and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1080\/15)\/(12\/30) is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617309553089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -4)\/(-3 - -2). Suppose -r = -3*n + 58, 0*r = -5*r + 10. Suppose 5*b + 4*a + n = 0, 3*b + 6*a = a - 12. Is b >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - 1bfc?\nAnswer: -1c0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -2\/25, -161, 4?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96445 - -149448. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 1:06 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1236 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/428887 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 11:10 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 9. Let d be c(-8). Let y be (1\/d)\/(4\/12). Suppose 0 = y*j + j - 92. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211010 + 0?\nAnswer: -211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 z, and 2 j when four letters picked without replacement from yznjyjns.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -200*m**3 - 1698360*m**2 + 339678*m - 16984.\nAnswer: -2*(m + 8492)*(10*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3620a (base 11) to base 14.\nAnswer: -1501b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122101 - -111110102?\nAnswer: 110211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*k + 19*k - 94656 = -30696. Calculate the smallest common multiple of k and 44.\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 61 and -2807.80332.\nAnswer: -2746.80332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 15 = -3*r + c, r = -3*c + 21. Let d be (-99)\/r*4\/6. What is the units digit of -2*(d - 0) - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 21*x - 3. Let s be y(3). Let h = s - 34. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67069595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 4*g + 2*g**2)*(9*g - 20*g + 17*g) to the form w + y*g + t*g**2 + n*g**3 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16330904?\nAnswer: 2, 2041363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -361 - 27 - 351 + 167 - 2*b + 3*b in the form z*b + c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:17 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55.7 + 9.3. Let i = w - 69. Let m = 17 + -17. Which is the fourth smallest value? (a) m (b) i (c) 0.1 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 16*z - 43. Suppose -3*s + 24 = z*s. Suppose 0 = -4*j - s + 20, -3*l + 5*j + 1000 = 0. What is l rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -331166\nAnswer: -1\/331166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1028 + 3079\/3. Let o = -21 - -167\/8. What is the nearest to 1 in 5, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1 + 202?\nAnswer: 2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2107121 divided by 4399.\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -651.275373 rounded to the nearest 10?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) + 10\/8. Let n = 216 - 1082\/5. Sort 0, -0.1, a, n.\nAnswer: n, -0.1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j - 26 = 0. Let y = 9 + j. Suppose 0 = -2*w - a + 4, 3*a - 16 = -2*w - 20. Calculate the least common multiple of y and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 4. Let o be ((-33)\/3)\/(231\/(-126)). Let j(q) = 3*q + 5. Calculate o*j(g) - 5*i(g).\nAnswer: 3*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 22*w**2 + 3*w - 108. Let n be t(6). Suppose -23*m = -49*m + n. Solve -z - 3*b - 6 = 0, 4*z - 3*b - 2*b = m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 5, 7, -92, 3\/5?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -57 and -2579.36.\nAnswer: -2636.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 2*p + 53*p + 3321 = -3157 for p.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 13*n**2 + n - 8. Let y(r) = -r**3 - 10*r**2 - 10*r + 4. Let z be y(-9). Let w be o(z). Let q = -10 - -7. Sort 2, q, w in descending order.\nAnswer: w, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/8)\/c**(14\/9)*(c*c**(3\/14))\/(c\/(c\/c**(-10)*c*c)) assuming c is positive.\nAnswer: c**(5939\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*r - 26*r = 50*r - 8022080. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018761 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1 + 3*z**3 + 7 - z**2 + 4*z + 0. Let b(q) = -11*q + 3 - 8*q**3 - 20 - q**2 + 4*q**2. What is 4*b(h) + 11*j(h)?\nAnswer: h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 17*v + 60. What are the prime factors of 461 + (0 - v) - 6?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1113221 - 5?\nAnswer: 1113212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -16*m**2. Let t(r) = -3. Let q(y) = -3*y - 6. Let w(z) = 2*q(z) - 4*t(z). What is k(w(c))?\nAnswer: -576*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1302 + -1987. Round r to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228134745 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 0, -116 = -4*f - 308*n + 305*n. Solve -23*w + 36 = -f*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f**3 - 84*f**3 + 30*f**3 + 24*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3)*18\/12. Suppose -z*u - 1 = 3. Let m be (-60)\/(-25) + -1*2. Which is the nearest to m? (a) u (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 + p + 3. List the prime factors of c(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 8) in base 2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Let g be (d\/14)\/(8\/(-28)). Let i = -327.3 + 326.9. Which is the nearest to 0.2? (a) i (b) -3\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) - (sqrt(119) - 1*sqrt(119))))\/sqrt(7))**2 + sqrt(272) + 3.\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*x**4 - 7*x**4 + 14 + x**4 + 0*x**4 wrt x?\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.9019007 to three decimal places.\nAnswer: 24.902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2))\/((-4)\/72). Let v = 136\/5 - l. Let r = 0.02 + -0.12. What is the closest to r in 1, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 - 139*f - 96. Calculate i(48).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 20*c - 3. Let n(l) = 2*l**2 - 14*l - 2. Let j(a) = 7*n(a) - 5*u(a). Determine j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Let t(j) = 5 - 2 + i*j**2 + j**3 - 7*j + j. Let n be 123\/(-24) - (-2)\/16. Determine t(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 7*o - 90. Let v be (-7)\/21 + (-1002)\/o. Suppose 61*t = 64*t - v. Calculate the remainder when t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7055442 + -0.5445547. Let k = -1.00099007 + c. Let h = 0.16 - k. Round h to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-30) + 4\/(-10). Let j = 34282\/3 + -11428. Sort y, 1, 1\/7, j in ascending order.\nAnswer: j, 1\/7, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3022 smaller than -2776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -z - 29 + 9, 1668 - 1692 = y + 5*z for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 856334 > 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -32) + -1 + 0 + 3 - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 17*w**4\/12 + 2*w**3 + 38*w**2. What is the units digit of y(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 13 = 10*c. Calculate the remainder when 22 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2948855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 8. Calculate u(-9).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 1) + (-112)\/(-3 + -11). Solve 0 = -4*o - 2*s + 10, -4 = -o - 2*s + n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 660 and 30172.\nAnswer: 4978380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12)*2) + (sqrt(5) - (sqrt(180) + 1)).\nAnswer: -9*sqrt(5)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3)\/3*868\/1344*36.\nAnswer: -93\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20*w. Let q be 432\/80 - 6\/(-10). Does 10 divide m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 357\/14*24\/9. What is the second derivative of 77*o + 2*o**4 - g*o - 11*o**4 wrt o?\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 1251*a**4\/4 + 49*a + 398. What is the first derivative of v(z) wrt z?\nAnswer: 3753*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 13*a - 80 = -8*a, -a + 176 - 722 = -22*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 1, -0.5, 4, 2124, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3501 is divided by 440?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5135 - 5130. Solve -h*b + 26 = 8*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3 - 531*t**2 + 38118*t - 37584 = 0.\nAnswer: -232, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -29*h. Let k(y) = 1111*y. Determine k(c(o)).\nAnswer: -32219*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 9*l**2 - l + 1. Suppose -41*u = -56*u + 135. Determine a(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -25*c. Let v(w) = 17*w. Let n(y) = -5*f(y) - 8*v(y). Let p(j) = -j. Let q(a) = -2*a. Let h(k) = -6*p(k) + 2*q(k). Determine h(n(d)).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Let x = 18.6 - 19. Sort 0.1, x, h.\nAnswer: x, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 563.\nAnswer: 1\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -x - 9. Let j(h) = -12*h - 3. Let c be j(-2). Differentiate 4 - 3*d + x*d + 18*d**3 - c*d**3 with respect to d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - ((-1)\/(-2) + 795\/(-210)). Which is the nearest to -0.01? (a) w (b) -11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1234*d**3*w**2 + 7*d**3*w - 2*d**2*w**2 - 48*d*w**2 - w**2 wrt d?\nAnswer: -7404*w**2 + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2394 - -2396. Solve -j*q = -20*q + 90 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2620)\/(-50))\/(4\/(-20)). Let p = 258 + i. Let y(x) = -5*x**2 + 3*x + 3. Let z(l) = 11*l**2 - 7*l - 6. What is p*z(m) - 9*y(m)?\nAnswer: m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.97 + 3. Let g = 1278 - 1276. What is the nearest to n in -0.3, 1, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -589 - -590. Which is smaller: j or 0.61?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/12 + 3*f**3\/2 + 7*f**2\/2 - 2164*f. Calculate b(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 - 4*z**2 - 16*z - 62. Let h be m(-5). Let c = 546 - h. Solve -4*b + 18 = c*j - 2*b, 0 = 3*j - 4*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*(-11 - (-10879)\/1247)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 2*s - 47. Let y(k) = 5*k**2 - k + 1. Determine w(p) - 2*y(p).\nAnswer: -11*p**2 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.84 - -1.04. What is the closest to 0.1 in u, -4\/3, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 24. Let q be (v\/((-26)\/(-60)))\/((-4)\/58). Suppose q + 10 = 5*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17\/(-5)*(-755 - -10). Suppose 0 = -2*r - y + 1259, 5*y + n = 4*r + 4*y. List the prime factors of r.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551696 greater than 1551698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61394 is divided by 660?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 235 - 233. Suppose y*b + 3*b = -3*b. Is b not equal to 1\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 11517420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (0 - -3*3). Let p(j) = 2*j**2 - 16*j + 2. Let g be p(8). Suppose 3*u = -4*q + 2, 2*u + h = g*q - 0*u. Sort 6, 5, q in descending order.\nAnswer: 6, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3771 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**3\/3 + 5*w**2\/2 + 4*w + 2. Let i = 222 + -209. Suppose i*b = 12*b - 4. Calculate y(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 923746 and 73168?\nAnswer: 7389968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o - z, -5*o - 1 = -4*z + 4. Which is greater: 3\/8 or o?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1716576 to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 - w + 8. Let v be h(6). Let g be ((-4)\/(-4))\/(v\/6). Differentiate -g + 2*y + 0 - 1 with respect to y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 4)*1\/(56\/10). Let h be 4*(12\/9)\/(-4). What is the third biggest value in h, 3, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98088989 to the power of 1\/2, to the nearest integer?\nAnswer: 9904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -1\/50*k**5 + 1\/5*k**4 + 257 + 7\/15*k**3 - k + 0*k**2. Factor a(j).\nAnswer: -2*j*(j - 7)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*1*-3 + sqrt(95))*-6)\/(sqrt(15)\/(sqrt(15)\/(-2*sqrt(5)))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.7 (b) 1\/8 (c) -1 (d) -2\/25 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or -6\/1321669?\nAnswer: -6\/1321669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*b = 7, -1 = -h + b - 0. Suppose 140 = 4*y + h*i, -y + i - 2*i = -34. Suppose z - 3 + 1 = 0. Solve 0 = 2*w - 7*w - v - y, -z*v = 2*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-796)\/1393*3619\/44\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p + 5. Suppose 10 = 5*l - 2*i, -l + 4*i + 20 = -2*l. Let s(d) = l*d**2 + d**3 - 4*d**2 - 6*d + 2 + d**2 - d**2. Determine s(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/42*-6 + 595\/245. Let j(v) be the second derivative of 0 + 0*v**2 + 2\/3*v**t - 2*v. Let s(m) = -4*m**2. Give s(j(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*c = 2*m - 14, -c - 7 = m. Let o(l) be the first derivative of l**3\/3 + l**2 + 8*l - 15. Does 7 divide o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 20*y**2 - 56*y - 18. Let f(g) = -7*g**2 + 19*g + 6. Let o(c) = -17*f(c) - 6*t(c). Let r be 3 + 11\/2 + (-6)\/12. Does 21 divide o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 - -5 - (-191 - -147)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/14, -3\/7, 0, -3 in ascending order.\nAnswer: -5, -3, -3\/7, -1\/14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 68*d - 203. Calculate y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -20\/197?\nAnswer: -20\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48854 and 143.\nAnswer: 537394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 4:03 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/3 - 14795*o\/3 - 14794\/3 = 0. What is o?\nAnswer: -14794, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 3*w + 8*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc (base 16) to base 4.\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72261 divided by -31.\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*v - 3*v - 74 = 0, -5*v - 58 = -3*y. Let q(g) = g**2 + 2*g. Let n be q(-3). Suppose -w + n*w = y. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 165485096 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*f**3 + 5*f**3 + 13*f**2 + 44 + 2*f**3 - 43 - 3*f in the form y + h*f**3 + t*f**2 + o*f and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 665 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 times -0.27?\nAnswer: 47.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23*1\/(-1))\/1. Let r = s + 28. Suppose r*g = 15 + 5. Which is the third smallest value? (a) 0.1 (b) -2 (c) 1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001514231 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-855)\/(-10) - 2). Let c = r - -344. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = b - 4, 2*b = -0*x + 2*x + 26. Let a = b - 5. Suppose 0 = a*f - 114 - 51. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r = -26*r + 108*r - 205. Put -5, 2, 4, r, 1531 in increasing order.\nAnswer: -5, 2, 4, r, 1531","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**3\/v))*v)*v)\/v**7)\/((v**1\/v*v)\/(v*v\/v**(3\/8)))*(v*v\/v**(-2)*v**(3\/5))\/(v\/v**(-1\/4))**(-20) assuming v is positive.\nAnswer: v**(889\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3\/7 + 344*w**2\/7 - 2584*w\/7 - 6560\/7 = 0.\nAnswer: -2, 10, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -140, -216, -292, -368?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyfyyfnyysfyyy. Give prob of sequence ys.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x**3 + 10683*x**2 + 9*x**3 - 13*x**3 - 10683*x**2 - 19*x**3.\nAnswer: -43*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50)\/15*(-27)\/18. Solve -2*k - f = -9 - 2, z*f - 34 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -436 + 4801\/11. Let s = -4\/33 + o. Suppose -s - 1\/3*l**2 - 2\/3*l = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/3)\/s)\/s)**(5\/11) assuming s is positive.\nAnswer: s**(-10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-11) + (-1818328)\/(-88). Suppose 4*j - 2*o = 27516, -4*j + 5*o = -7*j + h. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**2 - 1. Let w be g(1). Suppose -2*z + t = -5, -2*t + 3*t - w = -2*z. Which is the smallest value? (a) z (b) 0 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-24)\/16).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*k + 36, v + k - 15 = 6. Suppose -v = -5*t + 60. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7000, 27866, 62640, 111322?\n\"Answer: 6954*r**2 + 4*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 + j. Let o = -13 - -10. Let d(v) = -2*v - 4. Let t = 2 + -3. Let n(y) = y**2 - y - 1. Let f(c) = t*d(c) + 4*n(c). What is o*h(i) - 2*f(i)?\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/11 - 1288*l**4\/11 - 2568*l**3\/11 + 4*l**2\/11 + 2570*l\/11 + 1284\/11 = 0. Calculate l.\nAnswer: -642, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2941 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/1*258\/903.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*q = 4*q. Suppose -8*b + 4 + 4 = q. Which is smaller: 4\/5 or b?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 22 = -2*o. Suppose -2*d + d + o = 0. What is the smallest common multiple of d and 3\/9*(-3 + 9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -622846, -1245706, -1868566, -2491426?\n\"Answer: -622860*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*d + 730*d**2 - 5 + 1468*d**2 + 484*d**2 wrt d?\nAnswer: 5364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:01 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 13, -5, 0 in descending order.\nAnswer: 13, 0, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 356\/22 + (-4)\/22. Let s be (d\/4 - 3) + 2. Let q(m) = -m**2 + 15*m - 18. Let z be q(13). Solve 2*i - 20 = 3*v - z*v, 3*i = s*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - -2.38. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*x - 847. What is the greatest common divisor of x and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -1895?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 20. Suppose -p + t + 2 + 16 = 0, -5*p = -i*t - 91. Suppose -u = -2*u + p. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20338 - 20338.5. Which is the nearest to -2\/3? (a) -2\/3 (b) s (c) 0.3 (d) -480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 87*w**3 - 2*w + 158*w**3 - 168*w**3 to n + a*w**2 + k*w**3 + d*w and give k.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.7 - 12.17. Let j = -0.27 - l. Which is the nearest to j? (a) -0.19 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 5*c)*(-3 - 3 + 5)*(-7 - 8 + 6).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times 0.004\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*s - 10 = 7*s, -3 = s. Find the second derivative of -3*i**j + 3*i + 6*i + 0*i - 3*i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 6. Let y = 9 + p. Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20468885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3145677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/6 + (-3)\/(-2) and -67\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2259 = 156*k - 855 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a factor of 139228445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = t - 110, 4*t - 3*t + 4*q - 78 = 0. Let d = t - 92. Solve -3*b - d = -11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/20, -6, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1992*h + 6868*h + 2343*h.\nAnswer: 11203*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 121052, 483638, 1087956, 1934012, 3021812, 4351362, 5922668, 7735736?\n\"Answer: q**3 + 120860*q**2 - q + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14096 + -7942. What are the prime factors of f?\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let t be 4\/(a - (-3 - 0)). Suppose 0*s - t = -s. Solve 1 = -y - 3*y + r, -2*y = s*r - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 793*u - 69 + 789*u - 1593*u. Give z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70))\/sqrt(5))\/(4*sqrt(50)).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5 = -3*y, -7819*d + 7815*d = 2*y - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 - w**2 + w + 1. Let n be b(-1). Solve 1\/2*k + 3\/2*k**2 + 3\/2*k**3 + 1\/2*k**n + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 867762144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + (137 - 139) + (0 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21.98 in 4, 2, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-3*(-4)\/6. Suppose -4*b - 22 = x*q, -2*q - b + 11 = 27. Let f(y) = -4*y - 7. Is f(q) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 = 10. Let o = 13 + u. Suppose 11*t - o*t = 597. What is t rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6308934.\nAnswer: 2, 3, 31, 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:57 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:43 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 52, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7459, 14926, 22393, 29860?\n\"Answer: 7467*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 10*x - 192 = -25*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/1 - (-390)\/90. Differentiate 62 + 0*t**3 + 33*t**d - 33 + 0*t**3 wrt t.\nAnswer: 132*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146802*y - 677916?\nAnswer: -146802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -63. Suppose -153 = -7*r + 4*r. What is the highest common divisor of r and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 5853*u + 1045944.\nAnswer: 3*(u + 199)*(u + 1752)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 157905305 to the power of 1\/2, to the nearest integer?\nAnswer: 12566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-444)\/(-370) - (-37544)\/(-31270). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*g - 4*y + 6, 4*g - 2*y - 28 = 0. Let i(w) = w**3 + 2*w**2 - w - 1. Is i(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3148\/11 + 286. Suppose 112 = 63*s - 62*s. Let u = -113 + s. Which is the closest to u? (a) 4 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 3*w**2 + 2*w**2 - 11*w + 11*w + 4*w**2 + 3*w**2 + 2*w**2 - w**2 + (-4*w + 3*w + 0*w)*(-6*w + 3*w + 4*w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 36*z**2 - 38*z + 79. Let l be m(2). Let w = 153 - l. What is the greatest common divisor of 70 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*i + 7. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -212 + 523*l - 72 - 147*l. What are the prime factors of m(5)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 23\/6*f**3 + 0*f**5 + 0*f**2 + 0 + 0*f**4 + 6*f - 2\/3*f**6. Find the second derivative of b(t) wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(12\/10 - 0). Let o(s) = -4*s**2 + 6*s + 7. Let m(t) = -5*t**2 + 6*t + 8. Let i(w) = -5*m(w) + 6*o(w). Give i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*n*t**5 + 35*n*t**2 - 26*n*t + 3*n + 7*t**5 - 6*t**4 + t wrt t?\nAnswer: 7320*n*t**2 + 420*t**2 - 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -33, -74, -149, -270, -449, -698, -1029?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - 23?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Suppose -4 + 0 = d*t. Is 14 a factor of (t\/2)\/(3\/(-168))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 7*s**2 + s - 6. Let v be f(3). Let j be ((-12)\/196)\/(v\/(-2)). Let t = j + -9199\/9702. What is the common denominator of t and -76\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/147 - 184\/(-552))*14\/4.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2398 + 685 + 1306 - 764 + 751 - 115)*(3*c**3 - c**2 + c**2) as k + o*c + x*c**2 + w*c**3 and give w.\nAnswer: 12783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -17*d**2 + 3*d + 6. Let h(w) = -16*w**2 + 5*w + 8. Give 2*h(u) - 3*n(u).\nAnswer: 19*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 - 230207106*l\/5 - 13248827913223809\/5.\nAnswer: -(l + 115103553)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 16*x**2 + 2*x + 68. Calculate the least common multiple of f(16) and 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 1. Let o(a) = -3*a - 4. Let x(s) = -6*s - 9. Let b(y) = -7*o(y) + 3*x(y). What is 3*b(m) - 2*q(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1321110 and 810?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -378 + 1382. Calculate the lowest common multiple of n and 8.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - 5*y + 2 - 1)*(1 + 2 - 2 + 0 + 3 - 2 + 3 + 1 - 2 + (1 + 1 + 0)*(5 - 2 - 4) - 2 + 3 - 2 - 11 + 0 - 17).\nAnswer: 270*y - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20143015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, -3, -29, -0.013, -2?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/2118830 and -61\/46?\nAnswer: 48733090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38908415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1. Let k(a) = -35*a + 3. Give -k(s) - 5*w(s).\nAnswer: 35*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -18.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 50145, -10, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - sqrt(2057)*2)**2 - (sqrt(17) - sqrt(170)\/(sqrt(40)\/sqrt(4))))*1.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 divided by -4?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11156151 to the power of 1\/2, to the nearest integer?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 489799795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7550 = -4*o - 2*q, -4*o + 14*q + 7548 = 18*q. What is the greatest common factor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1537.21 - -23.21. Let w = l - -1514.00000793. What is w rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*20\/(-16)*(-2)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 + -161. Suppose -d = -4*i + 4, 0 = x + 2*i + 271990. What is x rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.07, 2\/35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-60)*(-16)\/96. Let p(z) be the third derivative of 0*z**3 - 1\/36*z**4 + 0*z + 0 + 3*z**2 + x*z**5. Factor p(o).\nAnswer: o*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 140*x - 9223. Calculate s(189).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68806759, -137613518, -206420277, -275227036, -344033795?\n\"Answer: -68806759*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**5\/100 - 87*t**4\/40 + 17*t**3 + t**2 + 513*t. Factor o(z).\nAnswer: 3*(z - 85)*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318996139 a multiple of 937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 0.2. Let v = 32744.52 - 32744. Which is the nearest to -1? (a) -0.1 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2947050 divided by -75\nAnswer: 39294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8171152288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/((-10)\/(-105)). Let o be -5 + 2 + m + 2. Let i = 24 + o. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j + 4*j)*(0 + 3 - 2) - 2*j + 0 + 0*j - 10.\nAnswer: -j - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 114847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {z: 3, w: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3 + 3)*(-d**2 + 0*d**2 - 2 + 10*d**2)*(-74*d - 34*d - 82*d + (-d + 4*d + d)*(-6 + 3 + 2)).\nAnswer: -3492*d**5 + 776*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3\/7 - 1188*i**2\/7 - 156816*i\/7 - 6899904\/7 = 0.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4 + 86857*j**3 - 260565*j**2 + 260563*j - 86854 = 0. Calculate j.\nAnswer: 1, 86854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + -2 + -9)*(-5)\/(-20). Sort -9, -0.089, t.\nAnswer: -9, -0.089, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 32875.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*f - 310*f - 272*f - 5*f**2 + 140*f - 8*f = 0 for f.\nAnswer: -109, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c\/(c\/(c**5*c))))\/c))\/(c**(2\/11)*c*c*c))\/((c**(-9)*c*c)\/c*c\/(c\/c**(-7\/4)*c)) assuming c is positive.\nAnswer: c**(641\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1130 - -419. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5\/7 - 23232*z**4\/7 + 2721396*z**3\/7 + 5558982*z**2\/7 - 2721399*z\/7 - 5535750\/7 = 0.\nAnswer: -2, -1, 1, 121, 7625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 equal to -339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*m - 3*p = 155*m - 8, 0 = -2*p - 4. Let d = -4\/21 - -86\/231. Sort d, 2, m in ascending order.\nAnswer: m, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3 - 89716346*h**2 + 278676858*h wrt h.\nAnswer: -6*h - 179432692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 3*f + 2 + 1177*f**4 - 1174*f**4 - 2*f**3 + f + 13*f**3 to g*f + m*f**3 + t*f**4 + b*f**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.219301kg in nanograms?\nAnswer: 5219301000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 + 176 = 94*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11177.38ug to milligrams.\nAnswer: 11.17738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 6*r**2 - r - 4. Let f be m(-6). Let z(w) = -w**f + w + 2 - 5*w + 0. Let i be z(-3). Solve 5*s - 20 = -i*l, -3*s - 4 = -0*s - l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202.275 - -168.9634. Let i = f + 33. What is i rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8012*m**2 - 7972*m**2 + 15986*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeewwee. What is prob of sequence ww?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**3 + 13*d**2 + 9336*d + 135967712 wrt d.\nAnswer: -3*d**2 + 26*d + 9336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/(u**3\/u))\/((u\/u**(-2\/3))\/((u**(-4)*u)\/u)) assuming u is positive.\nAnswer: u**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2 + 18*r - 53. Calculate the remainder when f(4) is divided by 146\/14 + 33\/(-77).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 199, 423, 713, 1057?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -37, -0.3, -2\/15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**3 - g + 1. Let p be r(1). Let n = 6.5 + 0.5. Let v = -7 + n. Which is the second smallest value? (a) v (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2323626 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from numuoomovuumuou.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-27)*j)\/j*j**(1\/11) assuming j is positive.\nAnswer: j**(-285\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and -1.803194.\nAnswer: -104.585252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 33, 60?\n\"Answer: 27*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-36 - 3) - (-36 + -21 - -54)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q = q - 500. Calculate the greatest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 576832.\nAnswer: 4037824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-2 + m + 2) + 31*m - 5*m + 24*m.\nAnswer: 49*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 6)*(-2679*c**5 + 14800*c**3 - 14800*c**3).\nAnswer: 2679*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.88837 millilitres to litres.\nAnswer: 0.06388837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + s, -4*t + 34 = -4*s + 30 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rej when three letters picked without replacement from gtjrttjtffge?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -373534604*p. Let r(c) = -14403*c. Calculate 129672*r(n) - 5*w(n).\nAnswer: 7204*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:09 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 6*b + 6. Let h(l) = 14*l + 1. What is the remainder when h(4) is divided by y(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/4935 - -24679\/19740. Calculate the common denominator of i and 52\/605.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 - -4. Let q be 4\/(-6)*(-3)\/(-2). Let w be 1\/q - 78\/(-66). Sort f, w, -0.1 in decreasing order.\nAnswer: w, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11930832 and 1491354?\nAnswer: 11930832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5386, 5384, 5380, 5374, 5366, 5356?\n\"Answer: -y**2 + y + 5386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 2\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125638039?\nAnswer: 131, 271, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 - ((3 - 4) + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 0*t + 4\/35*t**5 + 1 + 0*t**3 + 1\/21*t**6 + 1\/14*t**4 + 0*t**2. Factor n(h).\nAnswer: 2*h**3*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.27 times 4.922\nAnswer: -6.25094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 14. Let s = -12 + t. Let b(g) = 5*g**3 + 2*g**2 + 7*g - 3. Let k(v) = 4*v**3 + v**2 + 7*v - 2. Let x(y) = -5*b(y) + 6*k(y). Calculate x(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 646*g - 100 = -641*g, 19 = -2*f - g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 8. Let z(o) = o**3 + 11*o**2 - 34*o - 1. Let c be z(-13). Suppose t*l + h = c, -l + 2*h + 24 = 5. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) 0.35 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + -30. Let b(r) = r + 16. Let x be b(0). Calculate the greatest common divisor of c and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37, 115, 233, 409, 661?\n\"Answer: 3*k**3 + 2*k**2 + 51*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202 a factor of 1629898050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 8:51 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**3 + h - 1. Let m be b(1). Suppose 0 = 4*u - 3*o - 92, m*u + 0*o - 60 = -5*o. Calculate the smallest common multiple of u and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-32)*(-6592)\/(-2472)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 6. Is 17 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8 - -7) + 3)\/((-4)\/(-6)). Suppose 5*j + 2 = b*j. Are j and 46 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -69, -2\/23, 0.3, -1\/400 in decreasing order.\nAnswer: 3\/8, 0.3, -1\/400, -2\/23, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.1185 (b) 0.4 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -27*o. Let y(t) = -98*t**2. Determine y(r(a)).\nAnswer: -71442*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * -1.3367.\nAnswer: 80.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -5)*(-6)\/9. Let q(j) = -7*j - j**2 + 610 - 615 + 8*j**a. Let v(s) = -10*s**2 + 10*s + 7. Let t = 10 + -5. Determine t*v(w) + 7*q(w).\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -387 + 395. Suppose l = i*l. Factor -5\/4*o**2 + l - 1\/4*o - o**3.\nAnswer: -o*(o + 1)*(4*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 9*b**2 - 11*b + 4. Let z be w(-7). Let r = z - -45. Solve 16 - r = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3) + -4 - (-4 + 2*sqrt(19)) - (-2*sqrt(76) + 2*sqrt(171)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmpmprm. What is prob of picking 1 p and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4039151209 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o = 166 + 34. Let n(u) = -3*u + 21*u - 5*u - o*u + 2. Let v(x) = 9*x + 2. Give 6*n(f) - 5*v(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1934858 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3010425 (base 7) to base 6\nAnswer: 11342043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(3\/5)*h)*h)\/h*h**5*h*(h*h*h**(2\/11)\/h)\/(h**(-7)*h))\/((h\/h**(-7\/3))\/h**(1\/17))**(-4\/13) assuming h is positive.\nAnswer: h**(495536\/36465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.123 - -0.077. What is the nearest to -2\/11 in -1, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmmmqmambmmmazazzv. What is prob of picking 2 z?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71.4315 + -71.1. Round a to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 66.3, 1\/5, -3, -2\/7 in descending order.\nAnswer: 66.3, 1\/5, 2\/13, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137830033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/768 and 131\/480.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(65)\/(sqrt(5)*-2) - (sqrt(1053) + (-1*sqrt(1053) - sqrt(1053)) + 5))**2.\nAnswer: -170*sqrt(13) + 4157\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*h - 5040, 0*h = h + n - 1680. Suppose -6*k = k - h. Suppose 6*o = 2*o + k. Calculate the remainder when o is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -17. Solve -p - v = -4*s + 11, 4*s = 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i**2. Let z(w) = -18880331*w. Determine t(z(v)).\nAnswer: -2851735189356488*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/17 - 12044*w**2\/17 + 156234*w\/17 = 0.\nAnswer: 0, 13, 6009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 350 + -523. Let p = -172.9 - r. What is the fourth smallest value in -1, 0, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1331) - (sqrt(1331) + 1 + 3)) + (sqrt(1331) + 1)**2*2 + 3.\nAnswer: 44*sqrt(11) + 2675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125292644 is divided by 454.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-32) - (-65)\/(-40). Sort g, -40, -13 in decreasing order.\nAnswer: g, -13, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*x**2 - 16*x**2 - 28*x**2 - 29*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 222773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12618 + 22531. What are the prime factors of q?\nAnswer: 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 3*k**2 + 8*k - 6. Calculate x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -19*(-400 - (-27)\/3). Let n = -201 - d. Round n to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2894, 2909, 2924?\n\"Answer: 15*u + 2879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303 + -3010?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.566384\nAnswer: -0.2265536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1897\/4 + 475. Suppose -2 = 5*j + 8. Which is the nearest to l? (a) 0.1 (b) -1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-10))\/14*7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 376, 845, 1500, 2341, 3368, 4581?\nAnswer: 5980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4 and 145\/7386.\nAnswer: 14772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -189, -507, -1053, -1839, -2877, -4179, -5757, -7623?\n\"Answer: -2*y**3 - 102*y**2 + 2*y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -95865 (base 11) to base 12\nAnswer: -6885b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 403 (base 11) to base 5\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*n + 7*v - 11, -4*v = 2*n - 14. Let c = 0.03 - 0.43. What is the third smallest value in c, n, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -15 - (-6 - -13)) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 484.2569 + -484.3. Which is the nearest to o? (a) 2\/7 (b) -0.3 (c) -0.4 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 1. Suppose 2*b + 5*s = -0*b + 29, 25 = 5*s. Let i(p) = 6*p + 2. Calculate the least common multiple of i(b) and k(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16994 = -772*a - 10 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-7 - (14 + -13)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007333 (base 11) in base 2?\nAnswer: -110110010111000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 957874, 957843, 957796, 957733, 957654, 957559, 957448?\nAnswer: 957321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*z - 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 104*k - 2472. What is c(120)?\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -129*l**2 + 258*l. Let v(s) = s**2 - s. Determine -i(z) - 258*v(z).\nAnswer: -129*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -8. Is 13 a factor of (-26)\/(1 + (y - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292737*g**4*x**2 - 321*g**2*x**2 + 3*g**2 + 2*g*x**2 + 125 wrt g.\nAnswer: -7025688*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7796 = 4*q, -5*v - 1953 = 3*q - 4*q. Let m = q + -1010. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 - 3*i**5 + 277500 + 30*i**3 - 277500 - 32*i = 0.\nAnswer: -4, -1, 0, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(-11\/5))))**(-5\/2) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*u + 4*j + 9746, 4*j + 2429 = u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12682 and 73.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17722055.\nAnswer: 5, 13, 47, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.87 + -4.57. Let r = j - -8.7. What is the third smallest value in 1\/3, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*a**2 - 363*a**2 - 409*a**2 + 1131*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_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 f = 10 - 28. Let p = f - -22. Solve p - 3 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -3*y**2 + 0*y - 2\/3*y**3 - 1\/15*y**5 + 0 - 5\/24*y**4 + 1\/120*y**6. Let b be s(5). Is b bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.2. Let o = -21273 - -21274. Let n = -0.3 - -3.3. Which is the nearest to u? (a) o (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 2*a**3 + 3*a - a - 7*a to c*a + n*a**3 + l*a**2 + k and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 - -2.9. What is the second smallest value in -1, 0, u, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -202206*k**2 + 2*k - 658377.\nAnswer: -404412*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -72, 3, -4 in descending order.\nAnswer: 3, -2, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031190 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -330, -1630, -4208, -8400, -14542?\n\"Answer: -56*d**3 - 303*d**2 + d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:00 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 0.02652\nAnswer: -0.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**5\/12 + 35*o**4\/12 - 245*o**3\/6 - 3*o**2\/2 - 3. Let q(h) be the second derivative of k(h). Factor q(v).\nAnswer: -5*(v - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 0.5, -1\/2, 219, -4 in ascending order.\nAnswer: -59, -4, -1\/2, 0.5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*2.477.\nAnswer: -198.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1872) + 2 + sqrt(1872) - sqrt(1872)) + 3 + sqrt(1872) + -4 + 2)*-3)**2.\nAnswer: 11664*sqrt(13) + 607257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -11.8. Let n = 11.8 - u. Let j = -3.3 - 0.7. What is the smallest value in 3, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hchw when four letters picked without replacement from {e: 1, h: 4, u: 2, w: 6, c: 4}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by 247?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-12)\/(-8) + 2. Suppose 3*d = -4*v + 366, 2*v + 62 - 258 = w*d. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 5, q: 5}. Give prob of sequence nq.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -92018.977 to the nearest one thousand.\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**(-7)*m*m\/m**8)**(-24)*(m*(m\/(m*m**4\/m))\/m*m**(-2\/7))\/(m\/m**(-2\/17)*m**(-1\/4)) assuming m is positive.\nAnswer: m**(-47673\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2b4b (base 14) to base 2\nAnswer: -1111000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8626, 8720, 8788, 8818, 8798?\nAnswer: 8716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*l - 67, -4*p + 2*p + l + 41 = 0. Let q(w) = w**3 - 20*w**2 - 20*w + 19. Let f be q(p). Suppose y - f = 20. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**2 - 3*r**2 + 15*r**2)*(-4*r**3 - 3*r**3 - 13*r**2 + 13*r**2).\nAnswer: -147*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100110101110 + 1?\nAnswer: 11100110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*v = -5, 4*n + n = -2*v + 7. Let g(p) = 2 + 8 - n - 50*p + 11*p. What are the prime factors of g(-4)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22516 less than 1.1?\nAnswer: 22517.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3072 - -3071.96118. What is o rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 20*s**2 + 13*s + 8. Let i be n(20). Let z = i + -268. Solve z = 3*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaic when four letters picked without replacement from {i: 2, m: 1, c: 2, b: 1, v: 1, a: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-33) - (-20)\/110.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4*b)\/b)\/(b*b\/(b*b\/(b*(b\/(b\/b**(3\/2)*b))\/b*b))*b)*b*b*b**(-2\/5)\/b*b\/b**6 assuming b is positive.\nAnswer: b**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 4*v - v**3 + v + (-11 - 5 + 0)*(v**3 - 10*v**3 + 4*v**3).\nAnswer: 82*v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 8:05 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32298 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2 = 2*j, 2*c + 16 = 5*c - 2*j. Let o(x) = c*x - 15*x + 14*x. Let b(q) = -165*q**2. Give b(o(w)).\nAnswer: -165*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*q - 35, -3*a + 28 = -2*q + 7. Solve a*c - 4 = 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3)\/((-6)\/2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/160 + d**5\/10 - 9*d**4\/32 - 25*d**2 + 4*d. Let u(x) = 0. What is x?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*u**2 - 95*u**2 + 64*u + 10*u**2 - 16*u + 27*u**3 - 3*u**4.\nAnswer: -3*u*(u - 4)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 1. Suppose -5*y - 10 = -3*y. Let i(s) = -s. Let x(q) = y*a(q) + 6*i(q). Let b be 2\/(-5)*(2 + 8). What is x(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3159.903ml in litres?\nAnswer: 3.159903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8)*(-9 - -15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 12 = 0, r + 2*j = 13. Suppose -5*a + a + q = -17, -5*a + r*q + 40 = 0. Find b such that -36\/7*b**2 - 6\/7 + 15\/7*b**a + 27\/7*b = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.5719 - -462.3949. Let o = -68.9 + 496.9. Let x = o - c. What is x rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 8. Let k be u(-4). Let l be (-5 + k)\/((-4)\/8). Suppose 2 = l*h - h. Solve 5*m = 4*d - 8, d + 2 = h*m + 2*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -71, 3, 2\/13, -0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 5*g - 4. Suppose -742 = 60*z - 7222. Suppose -z*s + 40 = -100*s. Let h(n) = -n**2 + 2*n - 2. Calculate s*h(a) - 2*t(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1081?\nAnswer: -1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0)*4*6*-6 + 5.\nAnswer: -144*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*x + 2*x**2 - 870*x + 243*x - 6*x.\nAnswer: 2*x**2 - 1058*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksfyyyu. Give prob of picking 1 k and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9448137, 17, -2 in increasing order.\nAnswer: -9448137, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 + 255572*i + 8164630898 = 0. What is i?\nAnswer: -63893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 20*l + 34. Let z be x(-8). Suppose -5*i + 1296 = -2*k - z*k, -3 = -3*k. What are the prime factors of i?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 876481194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238125 is divided by 5401.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 49078*v - 2355731. What is o(48)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4366 and 2006?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 513553405 and 3?\nAnswer: 1540660215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, 1.4, 4\/343, -0.06 in decreasing order.\nAnswer: 1.4, 4\/343, -0.06, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 843997.\nAnswer: 26\/843997","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 24 + 52 = 21 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*w = -75*w + 3055 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -13*p + p, -18*t + 11*t = 2*p - 95 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tee when three letters picked without replacement from etdtdteddeiedtd?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1536 + -1054. Let p = -479 + d. Solve 0 = -0*i + p*i - 15, -11 = -4*f + i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5*p - 3*m - 368 = -12*p + p, -4*p - 3*m = 344 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223687 is divided by 318.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3.95. Let l = q + -4.95. Which is the biggest value? (a) 1\/3 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**3 - 12*r**2 - r + 23. Let j be l(-11). Let u = j + -269. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 5*m**4\/3 - m**3\/6 + m**2\/2 - 160*m. What is c(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + f + 13, 90*r - f = 91*r - 2. Let g(n) = -r - 92*n**2 + 85*n**2 + 3. Let x(b) = 6*b**2 + 3*b. Calculate x(g(y)).\nAnswer: 294*y**4 - 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:50 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 7\/3 (c) 4 (d) 0.6 (e) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139bd8 (base 14) in base 10?\nAnswer: 680114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j**(-1\/2)\/j)))**(-3\/5)*(j\/(j*j**(-7\/4)))\/(j*j**(-1\/2)))**(2\/95))**38 assuming j is positive.\nAnswer: j**(43\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 4. Let j be v(8). Suppose 0 = 7*y + j*y - 1364. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 1199?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let z be 1*-3*2\/(-6). What is the units digit of z + 3 + l\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 1125*s**2 + 421875*s + 52734375.\nAnswer: (s + 375)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11241\/4 - 109\/436.\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*z + 14. Suppose -5*n = -10*n. Solve n*s = 4*s - z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 minus 82?\nAnswer: -84.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, -0.5, 4\/9, 0 in ascending order.\nAnswer: -0.5, 0, 1\/14, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.16 + -0.16. Which is the closest to s? (a) -3\/5 (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -283*d**3 + d. Let g be b(1). Let u be g\/(45\/(-12) + 3). Suppose -5*a + 259 = -u. What is a rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5, -27*l - 15 = -28*l + 4*a. Suppose l*y - 24*y = -6720. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130733017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*-1*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2234642990*y - 270*y**2 - 2234642990*y.\nAnswer: -270*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9355721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 218563804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-306)\/3)\/17)\/(-3*(-4)\/18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-8 + 9)) + 11 - 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 1)*(-m - 2 + 2)*(1 - 3 + 4)*(-1 + 3 + 0).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 290061896 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 68522718 to the nearest ten thousand.\nAnswer: 68520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -79. Let c = 4877 + -4399. Calculate the remainder when c is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6322*l**3 - 130*l**2 + 31.\nAnswer: -37932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((((v*v**(5\/3))\/v)\/v)\/v))\/v*v**(-2\/9))\/((v\/(v\/v**(-4)))\/v*v**(2\/5)) assuming v is positive.\nAnswer: v**(212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bloi when four letters picked without replacement from ioiiblobolobiiiolio.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-66)\/(-231)*(-154)\/(-4). Suppose 0 = -3*z - 3, n*z - 3 = -l + 9*z. What is the third biggest value in 101, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-56) + (-4)\/(-14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqqqtqtttqttqo. What is prob of picking 1 t and 1 o?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37939 * 6555.\nAnswer: 248690145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 - 7 + 39*o**2 - 3.\nAnswer: 33*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2*(-5 + 3). Let u = 7 - 3. Sort u, l, -3 in increasing order.\nAnswer: l, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949 + 1194*n**2 - 2289*n**2 + 1095*n**2 + 949 - 6*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 0, 264, -56 in descending order.\nAnswer: 264, 0, -56, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -16*s**2 + 0*s**5 + 0*s + 65\/24*s**4 - 1\/10*s**7 + 0 + 0*s**6 + 0*s**3. Find the second derivative of m(o) wrt o.\nAnswer: -252*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -24, -1\/5, -6, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49.000005 - -49. Round t to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4548 = -3*c - 1512. Calculate the remainder when (c\/66)\/((-2)\/(-6)) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 49?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6675 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18579320 divided by 1857932\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 2*s. Suppose -3*n - n + 5*z = -4, -z - 8 = -2*n. Calculate the greatest common divisor of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 113205.4 tonnes?\nAnswer: 113205400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 5 - 5 + 8. Let t(v) = 4*v - 2*v - 115 + 108. Let o be 37\/(-7) + (-4)\/(-14). Calculate o*g(d) - 6*t(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-216)*14402*(8\/(-10))\/(-1). Factor 1000\/3 + 2960\/3*i + r*i**2 - 194\/15*i**4 + 2\/15*i**5 + 4406\/15*i**3.\nAnswer: 2*(i - 50)**2*(i + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 = 2*j, -3*j + 2*h = -4*j + 3. What is the lowest common multiple of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -109, -101, -91, -79, -65, -49, -31?\n\"Answer: k**2 + 5*k - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148246*r**3*x**2 - 4429*r**2 - 14*r*x**2 wrt r?\nAnswer: -889476*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*w, -3*v - 2*w + 5*w + 21 = 0. What is the third smallest value in 3\/5, 0.5, v, -11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**2\/4 + 3547*c\/12 + 655\/6.\nAnswer: (c + 131)*(27*c + 10)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 33 = 32 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k**2)*(k + 2*k - k) - 1 + 1 - k**3 + 27 - 27 - 6*k**3 + 9*k + 2*k**3 - 9*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1425526583400.7 and -0.3.\nAnswer: 1425526583400.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*d + 1885 + 3855, 4592 = 4*m + 3*d. List the prime factors of m.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:28 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/(6\/2052*21*(-51)\/(-119))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2954.864mg in kilograms?\nAnswer: 0.002954864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*(t*t*(t\/(t\/t**(1\/2)))\/t)\/t*t)**(14\/9)\/(t**(1\/4))**(-44)*(t**1)**(-34)\/(t**(-1\/2)*t)**(-2\/3) assuming t is positive.\nAnswer: t**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*x + 6, -f + x + 5 = -0*f. Solve 2*l - 6 = -5*d + f*d, 5*d = 2*l - 30 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 + -4 - -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -99*f + 100*f. Calculate the smallest common multiple of f and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3\/10))\/(r*(r\/(r*(r*r*r**(-2\/11))\/r))\/r*r*r*r*r*r*r) assuming r is positive.\nAnswer: r**(-427\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 212072 - 212070. Find a such that 25\/4*a - 3 - 1\/2*a**h = 0.\nAnswer: 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/7898 and -103\/506.\nAnswer: 181654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/2*(-17)\/(2550\/(-20)). Suppose -11 = -i + y + 3, -4*i + 3*y + 54 = 0. Sort i, -1, w in descending order.\nAnswer: i, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 8 - 17 + 3)*(3*t**3 + 3*t**3 - 7*t**3) to y*t + b + g*t**4 + n*t**2 + d*t**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316 and 420596.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 125. Calculate the greatest common divisor of x and 280.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10206 and 10962.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.25 (b) -3 (c) 19 (d) -7 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1900 + -1865. Solve 0 = -36*m + h*m + 2, 3*o - 1 = m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.85 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009478 rounded to five decimal places?\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -529*c**4\/3 + 184*c**3\/3 - 8*c**2 - 9*c. Find h such that o(h) = 0.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 75 + (24 - 7)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430716 and 44?\nAnswer: 430716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 183352 (base 14) to base 5\nAnswer: 204312134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11832 to the nearest 100.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6832.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00109598 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148*j**3*n**2*o**2 - 2*j**3*n - j**2*n*o - 388*n**2*o**2 - 61768*n*o**2 wrt n.\nAnswer: -296*j**3*o**2 - 776*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r - 18. Let f be g(-4). Suppose 1 = f*m - 19. Solve -3*i + 4 = 4*l, -m*i + 4*i = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13507, -4, 3, -1\/5.\nAnswer: -13507, -4, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3, 0 = -2*i - 3*g + 2*g + 1535. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*2 + sqrt(110) + sqrt(110))*2)\/(sqrt(30)\/sqrt(3)*-5).\nAnswer: -8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/4 + 134*q - 32223\/4 = 0.\nAnswer: 69, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5360 divided by 1340?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (46 - (32 - 3) - 42) + -12 + -1\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a + 1\/3*a**3 + 0 - 1\/4*a**4 + 1\/20*a**5 + 0*a**2. Let l be b(2). Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*l - 3. Suppose 0 = 4*d + d + 80. Find the common denominator of (-84)\/10 + l\/1 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(3 + 5*(-1 + sqrt(1584)) - (3*sqrt(1584)*5 + 2)))**2.\nAnswer: -158416 - 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30000 divided by -5\nAnswer: -6000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 264775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*8*21\/28\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - (-55)\/(-15). Let k be 0\/(((-32)\/(-4))\/t). Suppose k*b = 5*b. Solve b*w = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 22*l**2 - 15*l + 666. Does 129 divide b(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42073483, 84146970, 126220457, 168293944, 210367431, 252440918?\nAnswer: 294514405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1203 is divided by 385.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -2\/9, 0, -10, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 774 - 686. Suppose -2*l = 10, l - 23 = -a*s + 7*s. Let u(q) = 4*q + 4. What is the lowest common multiple of s and u(4)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 3, -206, 15, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 1. Let a be k(-1). Let w = 7 - 2. Suppose -5*u + w*l = 2*l + 1, -1 = u - l. Is a equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 + 35100*z**3 + 140480*z**2 = 0. What is z?\nAnswer: -4, 0, 7024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**4 + 185176*k**3 - 3334096*k**2 + 17042336*k - 22229760 = 0?\nAnswer: -46312, 2, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 7*g**2 + 6*g + 2. Suppose -h + 3 = -3*h - 3*p, h = 3*p - 15. Give n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 13. Determine h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c + 3. Calculate the remainder when w(-3) is divided by (-29)\/(-7) - (-26)\/2730*-15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19022180.\nAnswer: 2, 5, 951109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**2 + 6*l**2 - 12*l**2.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**3 - 13*b**2 - 2*b - 5. Let m(f) = -6*f**3 - 16*f**2 - 2*f - 6. Let w(k) = -4*m(k) + 5*r(k). Give w(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -78, 0, -34, 3 in descending order.\nAnswer: 3, 0, -5, -34, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.59.\nAnswer: -0.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-6)*(-3828)\/88. Suppose 4312 = -b*g + 210*g. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1357279288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.101, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 33060*f - 99225.\nAnswer: 5*(f - 3)*(f + 6615)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 708\/(-10)*(6 - 16). Suppose w = -5*w + j. Suppose -w = 2*i - 4*i. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1145634 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2. Let r(m) be the third derivative of m**5\/40 - m**4\/24 - 8*m**3\/3 + 19*m**2 + 5. Let n(l) be the first derivative of r(l). Determine n(d(i)).\nAnswer: -6*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(192)*-1 - ((sqrt(192) + sqrt(192)*-1)**2*-4 + sqrt(192))) + 2.\nAnswer: -96*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 - -5.72. Let z = n + 1.5. Let p = z - 5.4. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/7089 + -281213\/56712. What is the common denominator of h and 25\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221298102.\nAnswer: 2, 3, 4098113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -993 = 9*r - 5826. List the prime factors of r.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020916 rounded to four decimal places?\nAnswer: -0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 134*f**3 - 1510*f**2 + 1378*f.\nAnswer: -2*f*(f - 53)*(f - 13)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 1:40 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*n - 66, -3*n + 2*n - 18 = -3*s. Let d be 23\/n - 18\/(-27). Let f = -53 - -157\/3. Is f at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/4)\/((-1)\/72). Suppose 2*p - k - 7 = p, 4*k = -4*p + 36. Calculate the remainder when (-1 + a\/8)*4 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(((u**(-5)*u)\/u)\/u)\/u*u)**(-9\/8)\/(u\/(((u*u**(-3)\/u*u)\/u)\/u*u*u*u))**0)**(4\/11) assuming u is positive.\nAnswer: u**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 28 = 4*f, 3*f = 9*m - 6*m + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m + 7 = 0. Are -7 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/5 - 784*l**3\/5 - 15522*l**2 - 30420*l = 0.\nAnswer: -195, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2004 divided by 6?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -19176925.\nAnswer: -1917692.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 4618 = -658. Is d a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*h = 163, 2*d + h = 350 - 27. Let v = d - 296. Let c = v + 191. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20209 - 10794. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 29b9?\nAnswer: 29c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:31 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-1 + -1 + -4). Let j(l) be the first derivative of -l**3\/3 + 9*l**2\/2 - 4*l + 3. List the prime factors of j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 8. Let x(o) = -o + 6. Let y(u) = -2*l(u) + 3*x(u). Let a be ((-6)\/(-12) - 1)\/((-2)\/20). Determine y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98866 is divided by 942?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 3538*a**2\/5 + 42996*a - 647640.\nAnswer: -(a - 30)**2*(a + 3598)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o + 50. Let t(s) = -101*s**2. Determine w(t(r)).\nAnswer: 1212*r**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 greater than 2\/2963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/35, -0.05, -4, 0, -1\/4 in decreasing order.\nAnswer: 12\/35, 0, -0.05, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 25 + 14 + 15, -b - 4*i = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Suppose r = 5 + b. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -15. Let k be (-3)\/(5\/x - 0). Suppose n + 3 = k, 3*n + 826 = 5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, p: 1}. Give prob of sequence uup.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -201? (a) -63.07 (b) -5 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060165079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 5 = c + 33*q, -q = 3*c + 29 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0437 - 491.2?\nAnswer: -491.1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from uqqkuqkkuukqukkuk.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*m - 53, 16*m + 15250 - 15455 = f for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 458279\/8 - 57285. Let r = -164 + 166.92. Let m = 0.08 + r. Sort u, -11\/4, m, -4 in ascending order.\nAnswer: -4, -11\/4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 15*y**4\/2 - 2*y**3\/3 - y**2 - 369*y - 315. What is the second derivative of g(l) wrt l?\nAnswer: 180*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 3*n + 21. Let m be j(-3). Solve 11 - 5 = m*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*n - 9 = -4*n, 2*n - 5 = -z. What is the remainder when 23 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 7682 (c) -5 (d) -35.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50870874 is divided by 931?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 1, c: 7, a: 2, q: 4, y: 3}. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:31 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64011 - 1112616*b**3 + 64011 + 556311*b**3 + 556306*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -3*p**6\/40 - 13*p**5\/20 - 2*p**4 - 2*p**3 + 9*p**2\/2 + 3*p. Let d(r) be the first derivative of j(r). Factor d(a).\nAnswer: -3*(a + 2)**2*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - c**2 - 3*c + 1. Suppose -i = 3*i - 24. Let p be 3\/(-6) + ((-105)\/i)\/(-5). What is the tens digit of x(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 202, 222, 226, 208, 162, 82?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = -1. Let i(h) = -3 - 3*h**2 - 4*h - o*h**2 + 2*h**2 - h**3. Let c = 29 - 32. What is i(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4083028, -4083072, -4083146, -4083250, -4083384, -4083548, -4083742?\nAnswer: -4083966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4245 + 4293. Let q = -2 + 0. Let x be (-13)\/q - (-1)\/(-2). Calculate the highest common divisor of i and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40606056839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4313 + 10.4363. Let d = g - 0.005. Put -0.5, d, -2 in descending order.\nAnswer: d, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 929.\nAnswer: 4\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, m: 1, f: 2, q: 1, i: 1}. Give prob of picking 3 b and 1 i.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38487781 is divided by 151.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*x + 72 = -208, 3*d - 2*x = 805. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52938 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6 = y, 28 = 4*j - y + 6*y. Let a(t) be the first derivative of -164*t**j - t**3 + 15*t + 184*t**2 + 23 - t**5 + 11*t**3. Factor a(p).\nAnswer: -5*(p - 3)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660149489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2 - -28)*(-3 + (-882)\/(-54)) and 336.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -751*t**2 - t - 2. Let p be v(1). Let x = p - -758. Solve x*m - 1 + 9 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5632711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**3 - 68 + 134 - 67 as a*n + z*n**2 + s*n**3 + o and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + -6 - -1*2. Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -275 + 1392\/5. Which is the closest to -1\/19? (a) 0.2 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x**2 - 4. Let o(a) = -377*a**2 - 117. Give 117*b(v) - 4*o(v).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1391 divided by 2.\nAnswer: 1391\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92475 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 8) in base 10?\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n + 4*x + 4, 4*n + x - 13 = 0. Suppose f + f = o + 6, -3*o = 5*f + 7. What is the least common multiple of 3 + (f - -1) + 1 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x + 21*x + 21*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2983.364 - -5?\nAnswer: 2988.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(40\/(-250196)) - 1. Suppose -4*g = -5*j + 31245, -2*j + 2*g + 18745 = j. Let c = m + j. What is the common denominator of 31\/2 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/5, -4, 42?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 31856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 53*l - 690. What is the remainder when j(-30) is divided by 55?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8525.1 - -8525. Let k = -49 - -347\/7. Sort -1, -6, k, x in increasing order.\nAnswer: -6, -1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1633*a**2 + 4 - 1618*a**2.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.169 + 0.001. Let h = j + -2.1. Is h bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878076719?\nAnswer: 13, 67544363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 1:54 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 8*u - 4. Let n be s(8). Let d = -4 - n. Suppose -2*k + 314 + 20 = d. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/60 + 12*p**2 + p. Let a(q) = -19*q + 1 - 1. What is a(c(b))?\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-39)\/65)\/((-54)\/(-20)). What is the closest to 1 in j, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449574927 is divided by 273964.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 5*c = 24*q + 9, 15 = -5*q + c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 108482*p. Let h(d) = 214*d. Determine h(n(w)).\nAnswer: 23215148*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/25, 0.1 in increasing order.\nAnswer: -1\/25, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -26*k**3 - 14*k**2 - 26*k + 20. Let t(c) = 9*c**3 + 5*c**2 + 9*c - 7. Determine 6*f(b) + 17*t(b).\nAnswer: -3*b**3 + b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2 + (-1 + 5 - 2)*(1 - 1 - 2) - 3 - 1 + 2 + 5 - 1 + 3)*(3*u**4 - 2*u**4 - 8*u**4) to v*u**3 + p*u**2 + l*u**4 + z + b*u and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6476*h**3 - 3212*h**3 - 3260*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -615 by 4.\nAnswer: -615\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**6\/60 + l**5\/30 - l**4\/12 + 5*l**3\/6 + 6*l. Let o(w) be the second derivative of c(w). Suppose o(d) = 0. Calculate d.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/4 - b. Let u(g) = 8*g**2 - 512 + 512. Calculate u(p(s)).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 263, 4, -5, 3, -61, -1\/4 in ascending order.\nAnswer: -61, -6, -5, -1\/4, 3, 4, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 14.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 0.01 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i + 6*i - i + 0*i**5 - 4*i**5 wrt i?\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1083 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**3\/6 - 11*x**2 + 15*x. Let n be k(-23). Solve -6 = 5*w - n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -39\/8*m**4 - 41\/3*m**3 - 155*m**2 + 0*m + 0. Find the first derivative of k(s) wrt s.\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 8*o - 2. Let p be s(7). Suppose p*f = -2*l, -4*l + 23 = 4*f - 7*l. What is the first derivative of 0*v + f*v + 1 + 1 wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2491 or 27405\/11?\nAnswer: 27405\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 153105033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -42, -77021, -2, 1 in decreasing order.\nAnswer: 2, 1, 0, -2, -42, -77021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 2*s + 8. List the prime factors of g(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 59*j**2 + 3*j - 1. Let p be d(1). Suppose p*f - 20 = 56*f. What is the greatest common factor of f and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + -31426?\nAnswer: -31512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from anbdk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 89?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-168))\/((-4)\/(192\/(-8))).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 11*h**2 - h - 1. Let s be k(-11). Let t be 13\/65 + (-462)\/s. Calculate the common denominator of t\/(-3)*(-4)\/(-72) and 8\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54, 203, 450, 795?\n\"Answer: 49*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18413*p = -18486*p + 1054 + 406 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 388097139497 + -0.4\nAnswer: 388097139496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 w when three letters picked without replacement from wbbbbwxwbxxbb.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 335799?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/680 and 99402\/(-14280) + (309\/45 - 6\/(-45)).\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1388, -1393, -1402, -1415, -1432, -1453, -1478?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, l: 7, p: 6}. Give prob of picking 1 c and 2 p.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 30 = 5*o, -2*i = 4*o - 11 - 13. Let v be (-5)\/25 + (-3)\/(-15). Suppose -u + 13 - o = v. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 121043.\nAnswer: 25\/121043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -285 + 284. Let d = 0.1 - 0.12. What is the third smallest value in d, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 + 0.02. Let z = k + 1.2. What is the closest to z in 0.3, 2, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i + 80*i + 78*i + 115 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10631009*d*h**2 - 22354682*d*h wrt h?\nAnswer: -21262018*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -13*u + 8170. Calculate the greatest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121623 (base 15) to base 14.\nAnswer: 187531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1 + 0 - 8*f + 0*f + 8. Suppose 0*o = 4*o + 44. Let h(k) = -10*k + 8. Let d(p) = -p + 1. Let n(y) = 5*d(y) + h(y). Determine o*a(x) + 6*n(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:51 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*w - 64 = 0, -5*w = 5*i - 25 - 25. Solve -3*l + 3*x = -21 - 6, -2*l - 4*x = i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 4*g. Let z(a) = -9*a**2 + 12*a + 1. Determine -6*n(w) + z(w).\nAnswer: -3*w**2 - 12*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 871.90139 + -872. Round f to 3 decimal places.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/3 + 24\/6*-2. Let s(r) = -r**2 - 5*r - 2. What is s(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46589 is divided by 22986?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/8476 and 43\/8?\nAnswer: 16952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/155 (b) -1 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 83.8. Let i = -9.501997 - -17.702099. Let k = i - t. What is k rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 442*j**4 + 9*j**3 + 12*j**2 + 2*j + 808.\nAnswer: 10608*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 22*z - 19*z - 5 = 0, 2*z = -c + 4. Let k(q) = -10*q**2 - 2*q - 1. Determine k(c).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 2 e when four letters picked without replacement from neeeiprreeenerpiepr.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + 2 - 4*h**3 + 2*h**4 - h + 3*h**3 to a*h**3 + j*h**4 + b + l*h**2 + y*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + y + 4*y + (y - 4*y + 2*y)*(-2 - 2 + 2) - 4*y + 5*y - 3*y + 0*y + 4*y - 2*y + 2*y - 3*y - 2*y + (y + 3*y - 6*y)*(2 + 2 - 1).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 7:03 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 - (-3 - 2) - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 982836 to the nearest one thousand.\nAnswer: 983000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2191 is divided by 143.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, 0.05, 2\/5, -54, -1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, d: 2, w: 1, g: 2}. What is prob of sequence wd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5742\/168432)\/(63\/48)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.3, 110, -4, 1\/3 in increasing order.\nAnswer: -4, -2\/11, 0.3, 1\/3, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -918042 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358803311 divided by 47.\nAnswer: -7634113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4388 + -4388. Solve 56 + q = -14*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 20 = -7*c. Suppose -3*m + c = -5*j - 2, m + 4*j - 2 = 0. Suppose -4*g = -2*w, 2*w - 3*g = -m*w + 5. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9929152s in minutes?\nAnswer: 0.04988192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 37542.\nAnswer: 37542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -49. Suppose 5*y - q*l - 45 = 0, 0 = 4*y - 9*y + 5*l + 60. Suppose y*w - 419 = 225. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010 (base 2) to base 12\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 4*l**2 + 104*l**3 + 2*l**2 - 9*l**3 + 5*l**2 - l**2. Let r(c) = c**2 - c. Let m(n) = -q(n) + 3*r(n). Find the third derivative of m(v) wrt v.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 = 19. Suppose i = -9 + f. Suppose 2*b + y = 125, 0 = 3*y + 2*y + i. What is the remainder when b is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32505 is divided by 1047?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/12 - 954*c**2. Let s(p) = 11*p - 7. What is s(w(x))?\nAnswer: -22*x - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 34*d + 11. Let i be m(17). Suppose 0 = 8*l + i - 764. What is the highest common divisor of 145 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/20 + s**3\/6 + 42*s**2. Let o(v) = -v**2 + 1. Calculate -o(f) + q(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -37. Let d = o - -14. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 0*o**4 + 0*o + 1 + 0*o**2 - 6\/5*o**5 - 4\/3*o**3. What is the third derivative of f(a) wrt a?\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 2*x**2 - x - 13. What is g(-4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -620 - -625. Solve 0 = a*q + 2*x - x, 20 = 5*q - 3*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*h - 5*h. Let g be 57\/((-12)\/64*h). Suppose -g = -4*k + 588. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:20 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11566 - -4567. Let q = -999 - g. Suppose 12*w + q = 15*w. Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -48\/17, -2, -1, -4\/109 in decreasing order.\nAnswer: 3, 2, -4\/109, -1, -2, -48\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*y - 81 = 158*y + 187. Calculate the remainder when 3077 is divided by y.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1451*l**2 + 9*l - 24. Let a be f(2). What is the tens digit of (a\/13 + (4 - 1))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 72606541.2 rounded to the nearest one hundred thousand?\nAnswer: 72600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1020 divided by 12\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 852818265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*m = 4, -14*m - 1 = -s - 12*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - b + 1. Let r(n) = -4*n**2 - 6*n + 6. Calculate -10*o(i) + 2*r(i).\nAnswer: 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 9*j. Let f(n) be the first derivative of n**3\/3 + 3*n**2 - 1. Let t be f(-7). Is c(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/521 + -1082\/2605. Sort 23, 0.5, t in ascending order.\nAnswer: t, 0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333*227.218.\nAnswer: -75663.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + -31?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 9*u**2 + 7*u + 81. Let f be r(-6). Calculate the highest common factor of 483 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 8*k - 11. Let i be z(-5). Suppose i*v + 110 = -7*v. Is -126\/11 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*y - 6081 = -6124, -12 = 3*y. Let c(k) = 16*k**3 + 15*k**2 - 31*k + 1. Let r(a) = 3*a**3 + 3*a**2 - 6*a. What is m*r(n) + 2*c(n)?\nAnswer: -n**3 - 3*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -3. Let h = -37 - -41. Suppose h*p + 9 = 5*p. What is the remainder when y is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.8 - -75.2. Let b = 45 - a. Let f = b + 49.0093. What is f rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 87, 213, 399, 675, 1071?\n\"Answer: 5*i**3 + 91*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + d + 0*d + 3 - 3 - d + (20*d - 29*d + 22*d)*(2 - 2 - 3) - 2 + 2*d + 2 + 3*d - 4*d + 0*d + (-d + 0*d - d)*(-2 + 5 - 2).\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 6065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y**2 + 660*y**2 + 348*y**2.\nAnswer: 988*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102322531*m**5 + 114072582*m?\nAnswer: 2046450620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1100011011011000101110 (base 2) to base 4\nAnswer: 30123120232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12944, -13766, -14588?\nAnswer: -15410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 952125\nAnswer: -16\/952125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130321*x**3\/4 + 3268133*x**2\/4 - 63224*x + 1225.\nAnswer: -(x - 25)*(361*x - 14)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/165 and 13\/20985.\nAnswer: 230835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 14) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/3, -2\/15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.59 + 1.63. What is the closest to -1 in f, -0.1, -5, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -633.401, -0.5 in increasing order.\nAnswer: -633.401, -0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -114002.8 to the nearest 1000.\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 7. Let m(i) = i**3 - 7*i**2 + i - 4. Calculate the least common multiple of m(x) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 12*m + 31. Let l be b(14). Solve l*s + 8 = -7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -6*o**5\/5 - 6*o + 2. Differentiate t(v) with respect to v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22059 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4226 + -22365?\nAnswer: -15136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228390*s**3 - 127478*s**2.\nAnswer: 1370340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445*x - 435*x = 300. What is the remainder when x is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b + 26*b - 34*b + b + 17*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = -4*g, -5*x - 4*g = -g - 17. Suppose -6 = -5*a + x. Solve -4*n - 5*q + 5 = 0, -a*n + 10 = -3*n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*b, -g + 3 = -2*b + 3*b. Let x = -109\/15 - -23\/3. Factor -1\/5 - x*z**g + 3\/5*z.\nAnswer: -(z - 1)*(2*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353786.2ml to litres.\nAnswer: 353.7862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 37002.\nAnswer: 74004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296205 and 32240.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -46985 - 321*g - 3*g**2 - 583*g + 160*g + 14770 - 13913 = 0.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i - 501 - 195 = 0. Let s be 1 - (-20)\/i*(-1089)\/(-870). Is -1 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 7403.\nAnswer: -1480.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*x - 90, 2*x - 5*x = 15. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -247819698*y**2 + 120805752*y?\nAnswer: -495639396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -781d (base 16) in base 13?\nAnswer: -10cc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -414*i + 5. Let u(j) = -397*j + 6. Let w(h) = -6*c(h) + 5*u(h). Let s(l) = -5*l**2. Calculate w(s(m)).\nAnswer: -2495*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -25*r - 1043. Calculate c(-42).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmf when three letters picked without replacement from {m: 8, v: 6, f: 1, o: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0 - p**2 + 3*p - 1\/3*p**3 + 1\/10*p**5 + 1\/6*p**4. Determine u so that d(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*z + 8 = 0, -n = 4*n - 5*z + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -2\/15, 4, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6212288471.9903 + -6211692984. Let b = d - 595571. Let y = 83 + b. Round y to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide ((-21)\/4)\/(9\/(-600))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -17. Suppose 0 = -k*q - 4*q + 16. Solve -m - q*m = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14815296 and 565862?\nAnswer: 162968256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*y + 1500 = -141*y. Calculate the remainder when 255 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1286177.\nAnswer: -4\/1286177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 464*w**2 - 24*w. Let g(m) = 5343*m. Determine g(o(t)).\nAnswer: 2479152*t**2 - 128232*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3176*j - 982*j - 244979 = -1057*j for j.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47144.55 millennia in centuries?\nAnswer: 471445.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:33 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*v - 98*v + 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*y + 186, 0 = r + r + 3*y - 82. Calculate the highest common factor of 33 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**5 - 280*f**4 - 5820*f**3 - 54080*f**2 - 209920*f - 245760.\nAnswer: -5*(f + 2)*(f + 6)*(f + 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1348*k**4 - 97*k**3 - 13962*k + 45 wrt k?\nAnswer: -16176*k**2 - 582*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38294 divided by 1?\nAnswer: -38294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 5 (c) 84 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(((-2622)\/(-1012))\/57)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 1 + 1)\/((-3)\/1086) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2430 and 14?\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 15. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 5*s - 4. Let g be v(7). Suppose a + 4*j = -a - 20, 4*a + 34 = -2*j. Let h = a + 38. What is the highest common divisor of g and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/54 - (-52)\/24. Solve -v*w + 14 = h, -h = -5*h + 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*z + 12, -4*z + 11*q = 8*q - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z + 4. Let a be x(0). Let l(j) be the second derivative of 0*j**3 - 5\/12*j**a + 0 - 4*j + j**2. Differentiate l(h) with respect to h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + a**2 - 2*a + 87. Suppose 184*m = 205*m. What is h(m)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.576055 rounded to 3 dps?\nAnswer: 3.576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0 (c) -3\/40 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2284, 4576, 6852, 9100, 11308, 13464, 15556?\nAnswer: 17572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 6922908 to the power of 1\/2, to the nearest integer?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-203)\/14*1762. Suppose k = 4*m + 1079. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -378, -375, -358, -321, -258, -163, -30?\n\"Answer: n**3 + n**2 - 7*n - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 0. Let k = 4.9 + -5. Which is the third smallest value? (a) 5\/3 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 divided by -29.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k + 3. Let x(n) be the first derivative of n**4\/4 - n**3\/3 - n**2\/2 + n + 1. Let d be x(1). Solve d = -k*q + q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 32*s**2 + 15*s + 14. Let i be f(-30). Suppose 0 = -26*m + 22*m + i. List the prime factors of m.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:04 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14859223.\nAnswer: 29, 73, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -2.677?\nAnswer: -2.677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -2792942 and -2792940 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n, -1322 = 2*z - 2*n - 6028. Let w = 11832917\/5076 + 127\/1269. Let q = z - w. Calculate the common denominator of -69\/34 and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/23, -71\/310, -0.222?\nAnswer: -71\/310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 8644*i = 8646*i + 2, 4*y - 28 = i for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -506, -860, -1218, -1580, -1946, -2316?\n\"Answer: -2*l**2 - 348*l - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 106, -18, 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 116804.7ml?\nAnswer: 116.8047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 64 + -59 + (-2 + 0 - (-5 - 6))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/951939305 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 111111?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 7*t**2 - 12*t + 5. Give r(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 4*z**2 - 4*z + 5. Let p be k(-5). Let b(y) = p + 3 - 4 - y. Let c be b(-5). What is the biggest value in -5, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/21797 - -348590\/588519. Let r = -655 - -462. What is the common denominator of d and -1 + r\/(-60)*2?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -44. Suppose -2*l - 72 = -3*l. What is the remainder when o is divided by ((-1)\/(-2))\/(3\/l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3, 17, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -48) + 17 + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*c + 81*c = 4*b + 12, 0 = 5*b - 3*c + 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s - 83*s - 190 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/182*(-78)\/9. Sort 0, w, -602 in increasing order.\nAnswer: -602, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(sqrt(208) - (sqrt(208) + 0)) + -2)*-3*-3.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + (-111 - -112 - (-10 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-1))\/(((-24)\/28)\/(-2))*(-1464)\/1220?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2, -4*r - r = -5*m - 70. Let s = m - -7. What is the closest to -2 in 0.3, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5631675000 to the nearest 1000000.\nAnswer: -5632000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001011 (base 3) in base 4?\nAnswer: -23320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -s. Let y(a) = 8*a**3 - 6*a**2 + 10*a - 10. Let o(d) = 3*d**3 - 2*d**2 + 3*d - 3. Let m(k) = 7*o(k) - 2*y(k). Is 12 a factor of m(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350841*s**6 - 118*s**2 - 70685*s wrt s.\nAnswer: -42100920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740476367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7037651302 to the nearest integer?\nAnswer: 83891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 16*d + 22. Let s be q(-17). Suppose -s*k - 2*j + 191 = -0*j, 5*j - 163 = -4*k. Calculate the remainder when k is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 812983625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17) + (sqrt(17) + -1 - sqrt(17))))**2*2*5.\nAnswer: -20*sqrt(17) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/12*78\/(-4). Let i = 15 - g. Suppose -6\/7*v**5 + 0*v + 0 + 0*v**i + 2\/7*v**4 + 4\/7*v**3 = 0. What is v?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*q - 75 = i - 6*i + 19, 4*q - 2470 = -113*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -206 - -215. What is the nearest to -13 in c, -0.1, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*r**4 + 159*r**3 + 129*r**2 + 9*r.\nAnswer: 3*r*(r + 1)*(r + 3)*(13*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, 44, 64, 82, 92, 88, 64, 14?\n\"Answer: -d**3 + 8*d**2 - d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 7*s**2 + 8*s + 5. Let y be o(7). Suppose -3*g = -y - 140. What is the remainder when g is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43233014 (base 5) to base 12\nAnswer: -158a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105339\/5 + -20996. Let x = d + -72. Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i\/(i**2*i)))**(1\/21)\/((((i*i*(i**5\/i*i)\/i)\/i)\/i)\/i**(-1\/3))*(i\/i**6*i)\/i**(-6)*(i**(-2))**(-9\/5) assuming i is positive.\nAnswer: i**(158\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30609*s**4 + 33907*s**2 wrt s?\nAnswer: -734616*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27\/46 + -123\/92. Let r = -0.5 - -0.2. Which is the closest to 3? (a) -5 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**4\/5 + 468*z**3\/5 - 3416*z**2\/5 + 6912*z\/5 - 3968\/5 = 0.\nAnswer: -124, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {k: 1, o: 9, v: 10}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 - 55*z + 140 = 0.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*n - 7 = -46, 2*z + 2*n - 22 = 0. Suppose t + 7 = z. Let v = t - -3. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q**2 + 122. Let i(o) = 2*o**2. Give c(i(t)).\nAnswer: -28*t**4 + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -477, -635, -791, -945, -1097, -1247, -1395?\n\"Answer: n**2 - 161*n - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a hour?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.1, 0.07, 0, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**3 - 44*l**3 - 69*l**3.\nAnswer: -129*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1*(4 + -2)). Let h(f) = -5*f**2 + 2*f - 1. Calculate h(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307989\/(-7722) - (-24)\/(-208).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -36. Let w = 5.02 + -5. Is t greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*b - 0*b. Suppose -2*l = -21 - b. What is the remainder when 38 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235081435 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/7 - 24*i\/7 - 459\/7.\nAnswer: 3*(i - 17)*(i + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let w be (-540)\/(-162)*2\/(-10). What is the nearest to -1 in w, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68277 greater than 751044\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -197*h**2 - 13397*h - 92. Calculate u(-68).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26634, 26734, 26834, 26934?\nAnswer: 27034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33689 - 11440846125.\nAnswer: -11440812436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*p**4 + 19*p**3 - 233*p**2 + 49 wrt p.\nAnswer: 3648*p + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = f + 24 - 22, -2*f = -6*g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/7, 4\/3, 1, -4\/9, -51?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701*g - 2094*g + 699*g + 706*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 390*l - 34213. Determine y(259).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 63. Let f be (-1 + 0 + y)\/((-3)\/12). Suppose -n + 10 = -16. Solve -4*b + 0*b + 24 = f*l, l - n = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -144\/59 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q. Let b(a) be the first derivative of 13*a**3\/3 + 3*a + 65. What is b(l(r))?\nAnswer: 117*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 35. Let l = 44 + -222\/5. What is the nearest to 2\/7 in m, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - (11 + -15))*(-2)\/(-8). Solve -3*x + b*x = 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 15744*f**2 - 8479550*f + 8495292.\nAnswer: 2*(f - 8378)*(f - 1)*(f + 507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 9*b = 33 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9895119 rounded to the nearest 10000?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 1013*j**2 + 7203*j - 100. Determine g(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2*1)\/(16\/(-23)) and 4 - (202\/24 + 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -6 + 0 + 13. Suppose -389 = -p - 5*q, -3*q + 5 - x = 0. What is the highest common factor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-1 - 7)*14. Let c = s + 1. Let w(y) = -230*y + 17. Is w(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1288606 and 132.\nAnswer: 7731636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**3 + 990*u**2 + 54745*u + 759360 = 0.\nAnswer: -113, -64, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*s - 3*i, -5*s + 3*i + 69 = -0*i. Let m = s + -10. Solve 3*a + 3*h = h - 13, 5*a = 2*h + m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}