diff --git "a/data/dm_maths/full_data/10570_11255.jsonl" "b/data/dm_maths/full_data/10570_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10570_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of ((-33)\/605)\/((-2)\/20)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.99 - 0.01. Suppose -3 = -5*b + 2*b. Let o = -0.063 - 0.037. Sort b, o, g in decreasing order.\nAnswer: b, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -6*h. What are the prime factors of (92\/16)\/(h\/(-12))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27.704319 seconds?\nAnswer: 0.46173865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d - 5 - 4596*d**2 - 4595*d**2 + 9196*d**2. What is s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 4:37 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 329, 485, 635, 779, 917?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*r - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-423741.\nAnswer: 1694964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63730714205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*-3*sqrt(864))\/(-1*sqrt(84)\/sqrt(7) - sqrt(108)\/sqrt(9)*1).\nAnswer: 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395995 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: Let c = -9\/119 - 6\/17. Let a = 388 - 390. Let s = 0.1 + -0.3. Sort s, c, a in decreasing order.\nAnswer: s, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131.96 - 137. Let y = 0.0508 + -0.0108. Let u = p + y. Which is the second biggest value? (a) -2 (b) u (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45720209?\nAnswer: 45720209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/((j\/(((j**(-1\/16)*j)\/j)\/j))\/j))\/j)\/(j**(-4)*j*j))\/((j**4*j*j)\/(j**(1\/2)*j)) assuming j is positive.\nAnswer: j**(-41\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2150 and 2450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2729 - -2731. Solve -4*h = 2*s - 2, -23*h - m = -21*h + 4*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.4 + 39. Let n = z - -1.4. Let j = -2 - n. What is the second biggest value in 0, j, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-45))\/((-15)\/(-54)))\/((-27)\/90)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.825615mg in tonnes?\nAnswer: 0.000000000825615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**3\/6 + w**2\/2 + 5*w - 21. Let b = 3 + -5. Let d be h(b). Solve 0 = n - d*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287140.\nAnswer: 2, 5, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 8. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5\/3 - 82*b**4\/3 + 758*b**3\/3 - 1262*b**2\/3 + 196*b = 0.\nAnswer: -49, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -94, -225, -408, -643?\n\"Answer: -26*g**2 - g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + (0 + 3 - 2)*(1 - 3 + 3) - 1 + 2 - 2 - 1 + 4 - 2)*(-1 + 1 - i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 380 + 301. Let w = -667 + o. Solve 17*n + 12 = w*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3250.5 + -3250. Which is the closest to s? (a) -2\/9 (b) 2 (c) 2\/15 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69248.172 days to weeks.\nAnswer: 9892.596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Let u be (-3)\/((2 - -1) + 42\/(-4)). Which is the nearest to -1\/4? (a) x (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 8. Which is the nearest to 0.2? (a) -2\/3 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*q - 43*q + 64. Solve q*y = 3*y - 5*x + 9, 15 = 3*y + 3*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(1 + 0 + 0)*(5*g + 5*g - 4*g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -17*y**2 - 19*y**2 + 71*y**2 - 39*y**2. Let t(x) = 4*x**2. What is t(r(q))?\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3 - 132492*d**2 = 0.\nAnswer: 0, 33123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)\/(n**(2\/21)\/n*n))**(2\/45) assuming n is positive.\nAnswer: n**(122\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + a = -7, -q + 3*a - 6 = 6. Suppose -30 = -q*o - 21. Suppose 2*v - o = -v. Solve -n - 24 = -4*t, 2*n + t - v = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3)\/(16\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 658\/(-282)*(-1)\/(4\/3).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1327605 to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 19*o - 57. Let m be b(3). Let g = -2 - -2. Solve g = -q + 2*q - 3, 5*u - 5*q + 30 = m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -453021 + 145?\nAnswer: -452543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2191348682 to the power of 1\/3, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11100 (base 2) to base 10\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 n when four letters picked without replacement from dbnnaxi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 129, 150, 151, 126, 69, -26?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-17) - ((5 - 2) + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 3*k + 2. Let s(r) = r - 5. Let h be s(-7). Let j = h - -18. Calculate the lowest common multiple of j and i(3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-170)*(-32015)\/(-44821)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24677*r**3 + 4935*r**2 + 551830151.\nAnswer: -74031*r**2 + 9870*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8832, -17876, -26870, -35790, -44612?\n\"Answer: 4*h**3 + h**2 - 9075*h + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 417, 95, -2.\nAnswer: -2, 0.3, 0.5, 95, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.404 and 7.2.\nAnswer: 6.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 425\/1155 + (165\/11 - 18) + (-183)\/(-63)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*j = -538, -12*m + 147 = -11*m + 3*j. Suppose q - m = -32*q. Suppose 4*p - 5 = -3*f - 1, -5*f = 0. Solve -q = -x - p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -10f1ee0?\nAnswer: -10f1eee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 - 3*u**3 + 2*u**3 + (u**2 + 1 - 1)*(4 - 4 - 2*u) + 2765*u**2 + 107*u**3 - 2765*u**2 to the form d*u**2 + n*u + p*u**3 + g and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 8:02 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b. Suppose 4*x = -z - 10, z - 10 = 5*x - 2. Let i(n) = -3*n**2 - n + 2. Let r(y) = z*j(y) + i(y). Solve r(m) = 0 for m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -52\/3 (b) -0.5 (c) 4 (d) 2 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3150 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 + 0 = -4*p, 2*t + p - 6 = 0. Solve -2 = t*v + 2*y, 3*y = 5*v - 26 + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/15 + (-16)\/(-24). Solve -3*z = 12, -2*x - h = 2*z + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:45 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -604*q. Let b(d) = -1260*d. Calculate n(b(f)).\nAnswer: 761040*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10193?\nAnswer: 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -4 - -16 - 24\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -8 - (1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10)*(-1710)\/(-38). Suppose t*f + 178 - 790 = 0. Calculate the remainder when 267 is divided by f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -22. Let v be ((-18)\/8)\/((-2)\/l). List the prime factors of (-8)\/(-3)*v\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - (-8 - -2))*(0 + 4). Which is the closest to 2\/7? (a) 21 (b) 2\/9 (c) v (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*m, 18*x + 2*m = 13*x - 103. Sort 4, x, 25, 2 in descending order.\nAnswer: 25, 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**6\/120 - w**5\/20 - w**3\/3 + 4. Let h(q) be the third derivative of f(q). Factor h(s).\nAnswer: 3*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/270 and 28\/81.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 250 + -203 + -14 + 3 + -150.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrss when four letters picked without replacement from {s: 2, r: 2, c: 4}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 492127151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + o**2 + o + o**3 + (-5*o**2 + 2*o**2 + o**2)*(40*o - 31*o + 13*o) to p*o**2 + l*o**3 + k + y*o and give l.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3392434 or 3392425?\nAnswer: 3392425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.1, -24, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g - 6*g - w, 10 = 3*w + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2972.127 - 2977. Let s = l - 0.127. Let p = 0.8 + -6.8. What is the closest to 0.1 in 4, p, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 18365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 2. Let d = 18 + -11. Calculate the remainder when 14 is divided by w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 6. Let v be y(-3). Solve -v = -2*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171268284 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261681836 by 52.\nAnswer: 5032343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -44. Let h be (8\/7)\/((-20)\/(-70)). Suppose 8*b - u = h*b. Calculate the highest common divisor of 99 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2659 is divided by 1776?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -1\/2*y**3 + 0*y**5 + 0*y**4 + 83*y + 17\/2*y**2 - 32\/15*y**6 + 2. What is the second derivative of j(s) wrt s?\nAnswer: -768*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 972 = -1000 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 3 (b) -4 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2694.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 18, -185 in decreasing order.\nAnswer: 18, -3, -4, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 21*i + 40. Determine o(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 5, m: 1, n: 7, h: 4, z: 2}. What is prob of sequence ldh?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1454)\/(-2908))\/((-1)\/((-4)\/(-26)))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -3. Let h = 0 - g. Suppose -3*c = n - 2*c - 19, 59 = 5*n - h*c. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116, -254, -646, -1418, -2696, -4606?\n\"Answer: -21*u**3 - u**2 + 12*u - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 424601 + -2?\nAnswer: 424577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29\/39 - -1\/13. Which is the smallest value? (a) 0.5 (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207064413 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533472902.\nAnswer: 2, 3, 13, 6553303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 3*p + 11. Suppose 0*o + 2*o = -18. Calculate the remainder when w(o) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 400, 1121, 2166, 3535?\n\"Answer: 162*u**2 + 235*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 10*o - 8. Give r(6).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 9*g + 9*g - 20 + 51 - 11 + 776*g**2.\nAnswer: 776*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -4*z - 34*y + 37*y, 0 = -17*z - 4*y + 31 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 909521438 to the nearest integer?\nAnswer: 30158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(112) - ((sqrt(112) - -6*(sqrt(112) + 4 + sqrt(112))) + sqrt(112))) + 2 + 1*(-4 + (sqrt(112) - (sqrt(112) + 1)))*6)**2.\nAnswer: 5408*sqrt(7) + 21632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + d + 252. Round d to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y + 24*y + 138*y**2 + 3 - 1392*y**2 - 3.\nAnswer: -1254*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1333302114101 - -10?\nAnswer: -1333302114041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*t**3 - t**2*u - t*u - 603841*t - 17*u + 3963621 wrt t?\nAnswer: 15*t**2 - 2*t*u - u - 603841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 1300*m**4 - 18900*m**3 - 14568*m**2 + 521168*m - 204960 = 0?\nAnswer: -5, 2\/5, 6, 854\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282183.\nAnswer: 3, 11, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -4 (c) -2.5846 (d) -0.5 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.017 - -16.017. Let v = s + -16.05. Is v smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13864 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -13 (c) 91 (d) 4\/5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 18. Let f = s + 5. Which is the nearest to 0? (a) f (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 160 - 57 - 51 - 125*y**2 - 52 as u*y**2 + f + j*y and give u.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 32 = -3*k. Suppose i - 3*i + 30 = -2*w, -i - 3*w - 1 = 0. Calculate the remainder when k is divided by (0 - -2)*i\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-6 - (1 - 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34974?\nAnswer: 2, 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 133 = -19. Let m = k + -36. What is the second derivative of -3*d**3 - m*d**3 + 3*d**3 + 8*d wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285637265*y - 22312*y**2 - 285637265*y to b*y**2 + k*y + z and give b.\nAnswer: -22312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t + 12. Let a(l) be the second derivative of 7*l**4\/12 - l. Let p(h) = 3*h**2. Let w(k) = t*a(k) + 8*p(k). Factor w(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffss when four letters picked without replacement from ssfffsfssfsssxfssfff.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -119*z + 955. Let l be g(8). Let v(x) be the second derivative of 1\/3*x**l + 7*x + 9\/2*x**2 - 1\/2*x**4 - 1\/20*x**5 + 0. Determine v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86.49 - -87. Let q = l + -0.25. Round q to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1825607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 480, 1051, 1854, 2889?\nAnswer: 4156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59266 by -1.\nAnswer: 59266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 8*i + 8*i - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 2272?\nAnswer: 24992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-8)\/30 - 12\/30). Suppose -2*h + b + 56 = c*b, 0 = -2*h - 5*b + 64. Suppose -h*k - 774 = -33*k. What are the prime factors of k?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1779 (b) -0.3 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48375 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:43 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15768*d = -7905*d - 7917*d - 4266 for d.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47\/74 (b) 0.3 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 409\/8 - 51. What is the second biggest value in o, -5, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 11*n - 1. Let i(r) = -5*r**2 - 34*r + 3. What is -11*f(g) - 4*i(g)?\nAnswer: -2*g**2 + 15*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*r - 4*r**2 + 68*r)*(7*r - 2 - 4 + 3 + 4).\nAnswer: -28*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m = 45*m - 3*z + 5, -2*m + 11 = 3*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-352)\/(-36)*12\/16)\/((-18)\/(-27))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-18522)*70 + 2\/(-27)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/144771 and -97\/2952.\nAnswer: 3474504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2119914 (base 11) in base 15?\nAnswer: -4dab32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -4 (b) 1\/10 (c) -1\/4 (d) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3139 + 3588 - 4279 + 6415 + 2898)*(1 + 2*y - 1) as j + q*y and give q.\nAnswer: 23522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + -2 - -7) + (-13882)\/(-924)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = -t + 131, -3*m - 257 = -2*t. Let f = -115 + t. Solve -4*q = -8*q - f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 522, 115, 21 in ascending order.\nAnswer: 21, 115, 522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1222*s**2 + 1344*s**2 + 1610*s**2 - 893*s + 996*s**2 wrt s.\nAnswer: 5456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 3.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**5 + 4*z**5 - z + 2*z wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 4647*j\/4 + 23185\/2.\nAnswer: (j + 10)*(j + 4637)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14)\/s**27)**(-2\/161) assuming s is positive.\nAnswer: s**(82\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33518195819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2105415.411 to the nearest 1000.\nAnswer: 2105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2344 + 47*x**4 - 186*x**4 + 1092 - 92*x**4 - 1451 wrt x?\nAnswer: -924*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/38639120 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.12 and -8688592.586592.\nAnswer: -8688592.466592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 585210, 585211, 585212, 585213, 585214?\n\"Answer: a + 585209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56737*f - 495 = 56732*f - 3*k, 65*f - 6615 = -3*k for f.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 6. Let l(p) = -8*p + 4. Let k(f) = -2*l(f) - 3*s(f). Give k(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 181 and 1.8292.\nAnswer: 182.8292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1504 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3751 is divided by 1724.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2409119710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314991 and 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*p - 5331 + 6231 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5541025?\nAnswer: 5, 7, 31663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/255)\/(24\/(-40))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*n**5 + 455*n**4 - 455*n**4 + 3*n**2 wrt n?\nAnswer: 540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1563 - -33?\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 - -28. Let p = t + 189. Is 85 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/5*n**2 - 176\/5 - 28\/5*n = 0. Calculate n.\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2581999 + 1018001 = 2*j. What is j rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/4*(-8)\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, -17, -50, -87, -128, -173, -222?\n\"Answer: -2*y**2 - 23*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010 rounded to the nearest 100?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - -9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 3*l + 1. Let q be i(-2). Let v = q - -58. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 34 = -10. Solve -3*a - 2*r = 16, 0*r = -3*a - g*r - 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -1 - 0) + 1 + (5 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2058\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6963*m**4*u**3 - 21*m**2 - 3360904*u**3 with respect to m.\nAnswer: 27852*m**3*u**3 - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 + 92?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404 divided by 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-169) - (-1012)\/182) + (-6)\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5.6 and -21006697 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2.1, 4, -4960\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) 0.5 (c) -6 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4\/5 + 207*r**3\/5 + 4779*r**2\/5 + 7665*r + 6750 = 0.\nAnswer: -25, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 - 3*u**3 + 5*u**3 + (16*u - 10 + 10)*(2*u**2 + 0*u**2 - u**2) to the form v*u**3 + c + t*u + x*u**2 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5165935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 13*v**3 + 5*v**2 + 5*v. Let d(w) be the third derivative of -9*w**6\/40 - 3*w**5\/20 - 3*w**4\/8 - 4*w**2 - 350. Calculate -5*d(s) - 9*t(s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykokbuwo. What is prob of sequence uwo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271735780 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 5*g - 22, 4*g + 6 = w + 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 292*z**2 + 6*z + 7. Is k(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-10)\/(-15)*6\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11119 and -9093.\nAnswer: -20212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 3.\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**6\/120 - l**5\/60 + 9*l**2. Let c(i) = -i**3 + 2*i**2 + i. Calculate c(o) + 2*g(o).\nAnswer: -3*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 15\/2*n**2 + 6*n + 1\/12*n**4 + 0 - 2*n**3. Let t be d(11). Solve -3*u - 2*u = 5*h + 20, t*h - 4 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(30)\/sqrt(3))*6*-4*-5.\nAnswer: 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5873.932 nanograms in grams?\nAnswer: 0.000005873932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 2*m - 7. Let g be p(5). Suppose -2*v + 5 = -4*h - g, 0 = 2*h + 4*v + 34. Let a = -11 - h. What is the lowest common multiple of 4 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r - 2*r**2 + 0*r + 0*r - r - 3. Differentiate m(j) with respect to j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 23\/((-115)\/(-600)). What is the greatest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28317, 28320, 28323?\nAnswer: 28326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296001531?\nAnswer: 3, 7, 4698437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*b**2 - 727*b**2 - 2520*b + 2520*b.\nAnswer: -656*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 e when three letters picked without replacement from {g: 4, d: 3, r: 3, k: 1, e: 2, h: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 + 4*f**2 - 3*f**2)*(-12 - 5 + 14).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n + 2*n - 171059073 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1676 or 3351\/2?\nAnswer: 1676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b + 12 = 2*n, 2*n + 3*b = 8. Let i be (-12)\/(n + 3\/2). What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpoz when four letters picked without replacement from rppzpzprrdomoozrppzz.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -15. Is j > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 3. Let x(v) = -v**2 - 2*v - 1. Let g be x(0). Let d be ((1 + g)\/1)\/(1 - 0). Put k, d, 1 in decreasing order.\nAnswer: 1, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrlwjpv. What is prob of sequence ljp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137\/2 + 211\/3. Is 1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjfgkbf. What is prob of picking 2 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 7, 38, 89, 166, 275, 422, 613?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24178*b**5*x**3 - 9*b**2*x**3 - 6*b**2*x + 52*b*x**2 wrt b.\nAnswer: 1450680*b**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-35)\/60) - 2. Solve 5 = -5*a - z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 7420 = -10*w. Let y = w + 676. List the prime factors of y.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1285333094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(99)\/(sqrt(27)\/sqrt(3)) + -2).\nAnswer: -6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 3 = 5. Is (48740\/(-120))\/(v\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6125.717 micrometers in meters?\nAnswer: 0.006125717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167 (base 15) to base 5.\nAnswer: -2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 minutes after 2:49 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -119120.08\nAnswer: 11912.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 1097561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + 0)*(0*d - d + 0*d)*(2 - 5 + 1).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10146 + -5.2.\nAnswer: -10151.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 520 + 7 = 0. Calculate the remainder when (-1)\/(-2) + (-588)\/(-8) is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 - 5953*j + 41720 = 0. What is j?\nAnswer: -5960, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-13)*3\/(-6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19184 + -460301\/24. Find the common denominator of u and -73\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 191208, 382369, 573504, 764601, 955648, 1146633?\n\"Answer: -2*g**3 - g**2 + 191178*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-2 - 1) + 2). Suppose -5*d + 40 - 10 = a. Is -1 + 3\/(d\/26) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 34*d - 127 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7230600 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 prob of picking 1 m and 1 s when two letters picked without replacement from {s: 17, m: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 - 217564*u**2\/3 - 2175790*u\/3 - 1813200.\nAnswer: 2*(u - 108792)*(u + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587*a - 1 + 2728*a**3 + 294*a + 293*a - 12.\nAnswer: 2728*a**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/28939 - -4311935\/347268. What is the common denominator of w and ((-9)\/1215)\/(20\/2010)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14812591387 from 0.01.\nAnswer: -0.13812591387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*f - 185*f = 0. Solve f = 5*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let v(f) = 66*f**2 - 5*f - 5. Let u(z) = 330*z**2 - 24*z - 24. Let r(i) = 5*u(i) - 24*v(i). Determine r(o(g)).\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -16*n + 17*n. Let s(q) = q**2 - 9*q - 3. Let u be s(n). Let j = 23 - u. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56.043 + -56. Let r = 2.757 + u. What is r rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 8*g - 5. Let x(t) = -1213*t**3 + 5*t**2 + 19*t + 14. Let z(k) = 3*d(k) + x(k). What is the third derivative of z(u) wrt u?\nAnswer: -7278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -2*h - k, 0 = 4*h + 5*k - 30. Suppose -6*q = -h*q. Let r be (q - 0\/2) + 16. What is the highest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 8 = 0, 0 = m - 4*v + 13 - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-6\/19)\/((f**0*f)\/(((f*f*f**(-8))\/f)\/f*f)) assuming f is positive.\nAnswer: f**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**4\/8 - 5*n**3\/6 - n**2. Suppose -3*r = 3*k - 3, 2*r + 11 = 4*k - 23. What is the remainder when y(5) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67401 bigger than 67400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 10601265257.\nAnswer: -10601265266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 - 168576.\nAnswer: -168616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*((-5)\/((-40)\/(-18)) + 0). Calculate the greatest common divisor of u and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 5:18 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34669, -34670, -34671, -34672?\nAnswer: -34673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 1110100011111010010?\nAnswer: 1110100011111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 311 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 - 4*h - 4. Let r = -1643 + 1641. What is p(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*q = 359238 + 38719, 5*q + 132679 = z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -10 + 5 - 9 - -14.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 + 479 = 8*d. Suppose -2*z + 74 + 113 = -3*x, -2*x = -z + d. What are the prime factors of z?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 883746 by -174.\nAnswer: -5079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4641\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -202, 19, -2, 2, 6 in decreasing order.\nAnswer: 19, 6, 2, -2, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 212013, 422620, 633227?\n\"Answer: 210607*u + 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-104)\/32)\/((-5)\/80) and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/4 - 5*y**2\/2 + y + 10 = 0. What is y?\nAnswer: -10, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 26*d + 15*d + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 5*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, 4\/1467, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1072\/(-128) + (-3)\/(-8). Which is the nearest to 2\/7? (a) -2 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1061 + -1052. What is the smallest common multiple of 2389 and k?\nAnswer: 21501","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0 - 15 = 0. Solve j = 3*p - 0*g - 3*g, -2*p = 5*g + 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45472192 and -4.\nAnswer: -45472196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**22)*b\/b**(1\/10))\/(b\/(b*b*b**(-6))*b**(-1\/17)) assuming b is positive.\nAnswer: b**(-4597\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4681*c**4 + 242*c**3 + 357*c - 4589?\nAnswer: 56172*c**2 + 1452*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/2)\/(-3)*9164\/87. Let u = -474 + t. Let d = -247\/3 + 83. Which is the nearest to u? (a) 4 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 124, 184, 244, 304?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**3 + 16*k**2 + k + 5. Let a(x) = -19*x**3 + 47*x**2 + 2*x + 14. Give -3*a(n) + 8*q(n).\nAnswer: n**3 - 13*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -47, -49?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/21)*(z\/(z*z*z**(-6)\/z))\/z)**(-35))**19 assuming z is positive.\nAnswer: z**(-12160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 11:34 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298089263.\nAnswer: 3, 4219, 102559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 177443 - 698\nAnswer: 176745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90921?\nAnswer: 3, 30307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.23 + 3.67. Let r = h - 5. Let d = -0.06 - -1.06. Is r less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by -36353?\nAnswer: -279\/36353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 180 + 90*k - 90*k + k**2 + 17 to the form s*k + z + p*k**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 11 - (22 - (13 - 15))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.7 and -42?\nAnswer: 995.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 1\/4, -0.2, -10, -3\/34 in descending order.\nAnswer: 1\/4, 2\/15, -3\/34, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 56 = 20. Solve -5*y - 13 = -b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3.5. Let h = 2392.859 - 2394. Let a = h + 0.141. Put v, a, -4 in decreasing order.\nAnswer: v, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29030 - -47333. What are the prime factors of p?\nAnswer: 3, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 7*i + 3*u, -5*i + 5*u - 25 = -30*i + 20*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) + 0 + sqrt(200))*-4 + sqrt(200) + sqrt(200) - (sqrt(200) - (-2 + 2 + sqrt(200) + sqrt(200) + sqrt(200))))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43571 and 11?\nAnswer: 43571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991563.5ml to litres.\nAnswer: 991.5635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 4, m: 15}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/62 + 115\/558. Let b = 286006 + -286009. What is the fourth smallest value in -4, g, b, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61871231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82465, 82579, 82695, 82813, 82933?\nAnswer: 83055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2045571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -6*c**3\/5 - 2286*c**2\/5 - 53076*c\/5 + 115344\/5 = 0.\nAnswer: -356, -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1368\/17 - 3487\/68. Let k = s + 132. Suppose 9 - 11\/4*f**2 - 3*f + 1\/2*f**3 + k*f**4 = 0. What is f?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + v + v)*(79*v - 9*v - 38*v) to the form c*v**2 + t + r*v and give c.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1649328 and 149\/2473992?\nAnswer: 4947984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 51*q + 2457. Determine a(-49).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -15, -10, 11, 54?\n\"Answer: j**3 - j**2 - 9*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -14*v**3 + v**2\/2 + 8*v + 46. What is the second derivative of z(t) wrt t?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2984 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: Simplify ((-3 + 2*sqrt(7))*2)**2 + sqrt(42)\/(sqrt(600)*-2).\nAnswer: -961*sqrt(7)\/20 + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -7\/5 (c) -3 (d) 1\/4 (e) 5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011 (base 2) to base 16.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -589, -2\/5, 0.87, 0.8?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let v(n) = -47*n**2 + 2*n - 2. Calculate -6*h(j) - v(j).\nAnswer: 41*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 1, p: 1, h: 2, c: 1}. Give prob of sequence hdn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1793 divided by -5.\nAnswer: 1793\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhimhmahumbbmu. Give prob of picking 1 m and 1 i.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.168 + -0.168. Which is the nearest to v? (a) 0.2 (b) 0 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67903 is divided by 67859.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 - -23.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290 - 12427*m**2 + 290 + 12411*m**2.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*n = 5*h - 106*n - 15928, -h = -3*n - 3192. Does 54 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-90))\/((-1)\/64)*(-24)\/(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -370 (base 13) to base 11.\nAnswer: -4a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 15 - 14 + 2*l)*(-3 - 2 + 4)*(-98 - 29 + 60).\nAnswer: 201*l + 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-12 - 0)) + -8 - (-1 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*r = -18, -3*r + 3 = -2*r. Suppose -4*u + m*u + 6 = 0. Let j = 5 - 2. Calculate the highest common factor of u and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 3*d**2 + 5*d. Let q be n(4). Suppose -o - 2*o = -9. Differentiate -o*u**4 - q - 1 + 2 wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.75 - 0.75. Let v = -502753.1 - -502702.10054. Let n = v + b. What is n rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*c + 133 = -149*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -18. Let i(b) = -108 + w*b + b**2 + 103 + 6*b**2. Let z be i(9). Round z to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/65 - -266\/195. Factor r*f - 2\/3*f**2 - 2\/3.\nAnswer: -2*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m*p*y**2 + 771*m*p*y - 6*m*y**2 - 3122*p*y**2 - 6*y**2 + 2*y - 2 wrt m?\nAnswer: 4*p*y**2 + 771*p*y - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44, 137, 284, 479, 716?\n\"Answer: -v**3 + 33*v**2 + v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Suppose 200 = 3*q + q - z*d, q + d = 50. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 - h - 2. Let p(a) be the first derivative of a**3\/3 - a**2\/2 + a - 34. Let i(q) = -n(q) - 2*p(q). What is i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2143210 + 321?\nAnswer: -2142334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584*v + 542*v + 22848 = 0. What is the highest common factor of 170 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1332, 1320, 1308, 1296, 1284?\n\"Answer: -12*w + 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -936.05 + 936. Let c = -12.45 + 28.9. Let s = w + c. What is s rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 1041525 = 34*i - 5*o, o = -5*i + 1041517. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39977, -40584, -41191?\nAnswer: -41798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 + 5 + 4 - -18 and 259.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:59 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18667.97mm to micrometers.\nAnswer: 18667970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42212 - -14?\nAnswer: -42187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*h + 1 + 3, 0 = -l - 3*h - 1. Calculate the smallest common multiple of 130 and l.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 z when four letters picked without replacement from {u: 17, z: 2}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -9278049\/2 >= -4639025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = 61*d + 1114 + 594 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5057, 10117, 15177, 20237?\n\"Answer: 5060*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 50 (b) -3 (c) -17896 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**6\/75 + 23*z**5\/150 - z**4\/2 - 3*z**3\/5 - 82*z**2. Factor r(k).\nAnswer: -2*(k - 3)**2*(4*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*(((c**31*c)\/c)\/c)\/c*c)\/c))\/(c*c**(9\/2)))\/(c**(2\/19)\/c*c*c**(-2\/37)))**(7\/8) assuming c is positive.\nAnswer: c**(-340053\/11248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -0.05. Which is bigger: 1\/8 or o?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-12\/7)*x)\/(x**(-2\/65)\/x*x)*(x**(1\/2))**3)**40 assuming x is positive.\nAnswer: x**(2972\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**4 + 3*j**4 + 6*j**4)*(2 - 2 + 2*j) - 29 + 29 + 2*j**5 - j**2 + j**2 + 3*j**5 + (2 - j**3 - 2)*(-j**2 + 4*j - 4*j).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 11) in base 2?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -84505?\nAnswer: -2\/84505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17458 less than 17436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1757, -4283, -6809, -9335, -11861, -14387?\n\"Answer: -2526*v + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 26 + 5 + -21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1588 - -50. Let v = -326 + f. Is v\/24 + 2\/6 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 895*v + 51. Let j be n(0). Solve 2*b - 3 = z, -j*z + 48*z - 9 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 9*d - 314 - 103 = 0, 5*i + 2*d + 87 + 9 + 14 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjjxxmxgjjxjjjx. What is prob of picking 1 j, 2 x, and 1 m?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1120.62+28\nAnswer: 1148.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-7) - (-4 - 0). Suppose -4*o = -c*o. Which is smaller: -2\/15 or o?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*a = -925*a + 44 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 438*c = -437*c - 25, 11*c = 2*q - 43 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 4*b**2 + b + 30. What is the least common multiple of (-4 - -2 - -2) + 12 and w(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493582 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5 - 54475*k**4 - 494378618*k**3 - 1493018887972*k**2 + 17232455690764*k - 8242911322657 = 0.\nAnswer: -9083, 1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**6\/120 - v**5\/20 + 3*v**4\/8 - 5*v**3\/6 - 5*v**2\/2 + 11. Let b(r) be the second derivative of h(r). Factor b(w).\nAnswer: -(w - 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -9 + 24. Let v(m) = -m**3 + 5*m**2 + 5*m - 3. Let u be v(k). Let s = -4 + u. Calculate the greatest common factor of s and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -548347*q*t**2 + 17*t**2 + 10408 wrt q.\nAnswer: -548347*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60848 = -4*d - 4*y, 0 = 3*d + 11*y - 6*y - 45638. Suppose 2*a + t = 5*a - 22814, d = 2*a - t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33027 * 3.\nAnswer: -99081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/12)*c)\/c)\/c)\/(c*c**5)*c**(10\/3)*c*c**12 assuming c is positive.\nAnswer: c**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.195 + -0.295. Let u = 28.3 - v. Which is the fourth smallest value? (a) 0 (b) u (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*w - 30 = 0, 0 = k - w + 4*w - 12. Suppose 42 + k = 5*d. What are the prime factors of (9\/d)\/((-5)\/(-260))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k + 5*a, k + 2*a - 8 = -0*k. Suppose -5*w + k = -6*w. Is w equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 5. Let n(p) = -4*p**3 + 7*p**2 + p. Let w(g) = 3*g**3 - 8*g**2 - g + 1. Let f(u) = r*w(u) - 2*n(u). Is f(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*d - 6. Let c(y) = 3 - 9 + 4 - 4*y - 9. What is the smallest common multiple of c(d) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 9*k**2 - 75*k - 618. What is p(-9)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/5 - 39*c**3\/5 + 21*c**2 + 147*c\/5 = 0. What is c?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 0.04, -0.2, 24?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*n + 30, c - 8 = -0*n - 3*n. Let q = 11 - 1. Solve 5*b = -5*w + 3*w + q, 3*b = c*w + 37 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -173*o + 3566. Give x(27).\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -23689, -15, -4, -2 in descending order.\nAnswer: 10, 2, -2, -4, -15, -23689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543777 is divided by 6971.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*k + 20 + 5 = 0, -3*k + 15 = -3*b. Suppose -8*z + 754 + 1198 = b. List the prime factors of z.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22061061839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 440500803, 881001597, 1321502389, 1762003179, 2202503967, 2643004753?\n\"Answer: -h**2 + 440500797*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3078 and 1948374.\nAnswer: 1948374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 43. Let d = 26 + q. Sort 3, 2, 0.4, d.\nAnswer: d, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/17 (b) 4 (c) 149\/4 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199 + -89. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -21.06 (b) 4 (c) -4 (d) -1\/4 (e) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**7)*r**(4\/7)\/r assuming r is positive.\nAnswer: r**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/78 - (-2775)\/(-18). What is z rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7999*z - 12979150 + 12979150 to o*z + c and give o.\nAnswer: 7999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(539) + -5 + sqrt(539))**2 + 4)*-2.\nAnswer: -4338 + 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 15, -2\/65?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*-0.127.\nAnswer: -11.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -341 + 335. Let t be 5\/10 - (m + 27629\/(-14)). Round t to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 17 = -4*x + 404, 0 = 4*s + 5*x - 1629. Let n = s - 234. Let o = -65 + n. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (sqrt(108)*2 + sqrt(108))**2 - (1 + (sqrt(108) + sqrt(108)*2)**2)) + (-5 + (sqrt(108) - (-5 + sqrt(108) + sqrt(108))))**2 + -2*(4 + sqrt(108)).\nAnswer: -12*sqrt(3) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z - 20*z = 11196. Let m = z + -312. Sort -3, -0.062, m in decreasing order.\nAnswer: -0.062, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2800?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 5:06 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3874532 and 1028?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732065629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -118. Let v = 32 - n. Suppose m = -18 + v. What is the highest common divisor of m and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.34, -0.2, 0?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166500989 divided by -4?\nAnswer: -166500989\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -58280.593 to the nearest 100.\nAnswer: -58300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*k = 20, -2*s + 26*k + 16 = 30*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 - 3*t**3 + t**3 + (-t - t + t)*(2*t**2 + 2 - 2) + 1 - t**3 - 1 + 5*t - 5*t - t**3 + t**3 + t - t - 417455*t - 161*t**3 - 18 + 417455*t.\nAnswer: -162*t**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/5 + 4878*q + 14671580 = 0?\nAnswer: -6805, -5390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22663417.\nAnswer: 7, 3237631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108256 + -38106087\/352. Does b = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) 1 (b) 0.1 (c) 29 (d) 1\/2 (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -3.2452?\nAnswer: 1.6226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, d: 3, j: 4, n: 7, k: 4}. What is prob of picking 2 j and 1 t?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(8\/7)\/f)\/f**(-6\/23))\/(f**(5\/2)*f*(f**8\/f)\/f*f))**(-3\/10) assuming f is positive.\nAnswer: f**(9753\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose 21 = q*b - 5*b. Let m(a) = 5*a**2 - 6*a + 3. Let u be m(b). What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4811 - -726455\/151. What is the nearest to 3 in k, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 6 - 1)*(2 - 2 - j) + (3*j + 2*j - 4*j)*(15 - 10 + 16) + 0 + 0 + 2*j)*(-8 - 6 + 24).\nAnswer: 140*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 30*h + 554. Let k be c(-17). Solve b - k = -39 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -16*i**3 + 509*i**2 + 120*i - 773. Let o be p(32). Let z(f) = -22 + 0 - 5*f - 4. What is z(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/27 in 2\/23, -16\/19, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4643.9999985048 - 4644. Round c to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -4341, 5, 3, -4, -5 in decreasing order.\nAnswer: 8, 5, 3, -3, -4, -5, -4341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 5*m = 10. Let x be 2\/(-10) + (-31)\/(-5). Suppose -2*i - 20 = -x*i. What is the biggest value in 0, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 28*u. Solve 3*a + u*a - 15 = 0, -15 = -y - 4*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 5040 - 5040 - 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 4, -3.8, 16, -0.3, 2 in increasing order.\nAnswer: -3.8, -0.3, 1\/7, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(1200)\/sqrt(12)) - (sqrt(2299) + sqrt(2299) + 1 + 1 + sqrt(2299) + sqrt(2299)))**2.\nAnswer: 876*sqrt(19)\/5 + 911359\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 7 in decreasing order.\nAnswer: 9, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**2\/2 + 7*l - 23. Let f be (9\/2)\/((-6)\/(-8)). Give d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + (6*(-2 + sqrt(704)) + 0)*-1) + -1)**2.\nAnswer: -576*sqrt(11) + 25380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**4\/12 + 14*q**3\/3 + 44*q**2 + 5106*q. Determine l(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**3 - 36*j**2 + 30*j - 32. Let o(f) = -f**3 + f**2 + f. Let r(x) = 3*o(x) + w(x). Let t be r(32). Solve 4 + t = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and -2.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-9) - (-194)\/(-18). Let t = 13 + r. Solve 8 - 2 = -t*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and ((-1164)\/14)\/(60\/(-1960)).\nAnswer: 10864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 6143 = -6079 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12*t**3 - 3. Let j be h(2). Suppose -o = -5, 5*o + j = z - 867. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -934 - -929. Sort -3\/7, 221, h in increasing order.\nAnswer: h, -3\/7, 221","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 10. Suppose -u - 3*s - 4 = 0, u + 2*s - 2 = -3. Let m be z(u). Let v be -6198 + m\/(20\/8). What is v rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pypw when four letters picked without replacement from {p: 2, r: 8, w: 4, y: 1}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(9\/30))\/((-12)\/18). Suppose -s*n - 575 = -5*t, -2*n + 5*n - 488 = -4*t. Calculate the remainder when t is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1020027 or -1020022?\nAnswer: -1020022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 34 = -4*o + 4*s, o = -5*s + 42. Let n = o + -6. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**2 - p**2 - 12*p - 5 + 11*p + 35*p**3 - 11 wrt p.\nAnswer: 210*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. Let y = -961 - -959. Suppose h + h + 95 = 3*u, 2*h + 100 = 4*u. Which is the closest to y? (a) w (b) h (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*b - 8 = -2*b, -4*a = -3*b - 14. Let x be (3202 + -2)*(a + 1748). What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - 2\/6. Suppose s = -x*s + 13. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8636\/2032*(-4)\/1 + (-185)\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12132282 greater than or equal to -12132278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 310 + 4 + 2\/2. Let d = m - 315. Solve d = w - 3*c - 12, 4*c = 2*w - 8 - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1990*u + 31736 = -1980*u + 3456. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -383. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-9)\/((-18)\/(-8)). Suppose 5*y = 4*p - 397, -2*p + 5*y = -b*p - 201. 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: Round 4612500 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -6 + 4 - 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from meeieimxiig?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:56 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -15*a. Let u(i) = 1044*i + 113*i**2 - 109*i**2 - 1045*i + 1 - 1. What is u(j(g))?\nAnswer: 900*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 11*t - 11016. Suppose t*p = 921*p - 15. Solve -3*u - p*s - 16 = 0, -3*s - 16 = -1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 - 56. Suppose -2*w = -4*w - m + 22, 4*w = 4*m + d. What is the remainder when 36 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -904 (base 11) in base 10?\nAnswer: -1093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, h: 1, j: 1, z: 5}. Give prob of sequence zh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + -21 + -46 - 21.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -17 - -24 - 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -151 * -1.371875\nAnswer: 207.153125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 13*u**2 + 31*u - 10. Let t be o(15). Solve t*k - 25 = -0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)\/(n**(5\/2)*n))\/(n**(-2\/7))**(-34) assuming n is positive.\nAnswer: n**(-297\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17272092000 rounded to the nearest 1000000?\nAnswer: -17272000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 1477912 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c - 61*c = 84 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -61?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 62 = 4*b. Let o(t) = -2*t**3 - 3*t**2 + 19*t - 9. Let u be o(3). Is b less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) 0.3 (c) 2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -11*r**4\/12 - 2*r**3 + 44*r**2. Let y be w(6). Let l = y + 241. List the prime factors of l.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-16)*z*z*z**(-14\/9)\/z*z*z)\/(z**0*z*z\/z**2) assuming z is positive.\nAnswer: z**(175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145677 is divided by 143295.\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 - 198. Is ((-5)\/p)\/(3\/(-60510)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1099 + 1099.0003332. What is a rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1497 + 587 - 793)*(-2*u**2 + 3*u**2 + 3*u**2) as d + k*u**2 + x*u and give k.\nAnswer: 5164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8169480 is divided by 4084723?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 (base 10) in base 16?\nAnswer: 27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.8. Let f = 0.07 - -0.23. Let l = -2.7 - f. Which is the third biggest value? (a) l (b) 1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6432 and 768.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7961237l in millilitres?\nAnswer: 796.1237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2.9. Let p = -2.9 + s. Is p at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170723543.\nAnswer: 2170723543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -20*g**2 - 3*g. Let d(w) = -9*w. What is d(k(v))?\nAnswer: 180*v**2 + 27*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s + s - 8 + s - 5*s. Let c be u(4). Let z(k) = -k**3 + 10*k**2 - 7*k - 6. Let p be z(6). What is the greatest common divisor of p and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from btbd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34528 = -622*b - 42*b. Calculate the lowest common multiple of 572 and b.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156256 is divided by 102.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*w - 21, 5 = -w - 4*w - 5*z. Let r = 1 - -1. Suppose -r*y + y = w. Sort 1, y, -4 in increasing order.\nAnswer: -4, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**2 + 1. Let p(t) = -t**3 + 4*t**2 - 2*t - 4. Let g be p(3). Give o(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -748406 not equal to -254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34, 48, 84, 154, 270, 444?\n\"Answer: 2*o**3 - o**2 + 3*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14\/61 - -416\/1281. Let p be 6 - 19 - (-159)\/12. Which is the closest to 0? (a) p (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53858500 to the nearest 1000000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 607166531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5*d. Let j be u(-5). Let w = -18 + 23. Suppose v - 925 = -5*b + 6*v, j = -w*b + v + 925. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 - -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 times -776951?\nAnswer: 74587296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*((-2)\/(-220))\/(-1*(-13)\/26)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 2. Let i be u(-3). Suppose 4*d - i*d - 3 = 0. Is -3 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/24 - 1102\/(-16). Let o = l + -20. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 24*a - 11. Let q(u) = 15*u + 4. Give f(q(j)).\nAnswer: 360*j + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*f - 7 = -3, 0 = -5*f + 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 12. Let t = 0.12755 + 0.37245. Which is the closest to 0? (a) t (b) r (c) 2\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66357 and 1083023?\nAnswer: 711546111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1496 - 1959. What is c rounded to the nearest 10?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4500.26403 to 1 dp.\nAnswer: 4500.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:32 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 500 = -4*p, 2*w + 134 = 3*p - 243. Suppose -31 = -o - 4*i, -o = -6*o - 5*i + 110. What is the remainder when p is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 28, 1\/3, 0.4, 99, 10 in decreasing order.\nAnswer: 99, 28, 10, 0.4, 1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 times -0.01?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126509884 divided by -3?\nAnswer: -126509884\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = 2*b + 4, 3*b + 3*t = -6. Suppose 3*f - 15 + 27 = 0. Put 8, b, f in descending order.\nAnswer: 8, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 5*t + 3. Let w be z(3). Suppose -3*o + 3*h - 14 = -h, 3*h = 3*o + w. What is the units digit of (1 - -43)*(o - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5*w + 32 = 0, 24 = -3*v - 790*w + 787*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - s = 14, 5*s = -4*u - 0 + 6. Suppose -u*z - 317 = -2*w + 4109, -2*w = -z - 4438. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/5, -0.3, -5 in increasing order.\nAnswer: -5, -16\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -169*o**2 + 169*o**2 + 30*o**4 + (40 - 40 + o)*(0*o**2 + 0*o**2 + o**3).\nAnswer: 31*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98104295?\nAnswer: 5, 19620859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (74592 - 1) + (6 - 0\/(12\/2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 12 = -2*j, -4*n - 3*j + 16 = -3*n. Let 50*v**2 - 12*v + 12*v**3 - 54*v**2 + 7*v**4 - 3*v**n = 0. Calculate v.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-400)\/1350*(-30)\/280?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = -5*y, 3*a - 1 - 2 = 0. Suppose -4 = u - y*u. Suppose -4*r - 14 = 2*f, 0 = -2*f - 2*r - u. Solve -z - 2*z = -f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -2, 8, -1, -149.\nAnswer: -149, -8, -2, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-5 - -5) - -3. Solve 0 = -d*n + 5*o + 1 - 9, 5*o = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r - r. Suppose r = 127*z - 131*z + 1856. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 5, -60, -38, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129916169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (-4 - 5) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -280*u**2 + 352*u - 173*u**2 + 54*u**2 wrt u?\nAnswer: -798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 1, c: 2, j: 7, s: 8}. Give prob of sequence wj.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1073262 and -71\/42.\nAnswer: 7512834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59079 divided by -1257?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52041, 208223, 468535, 832977?\nAnswer: 1301549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (1 - 18))\/((-30)\/(-60)). What is the hundreds digit of 8\/20 + (-5628)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 5538 - 5539 + 3*w. Let f(z) = -2*z + 4. Calculate 4*b(n) - f(n).\nAnswer: -2*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619955939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u**2 + 67533*u - 4564495. Give d(68).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - 23) + (15 - 22) + 32?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127561369*d**3 - 127906347*d wrt d.\nAnswer: -765368214*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-65)\/(-4) - (-1)\/(-4). Suppose -5*g = -g - k. Let f(o) = -o**3 + 3*o**2 + 3*o - 5. Give f(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 410034 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4 + 760*a**3 - 37550*a**2 + 608520*a - 571725 = 0. Calculate a.\nAnswer: 1, 33, 55, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + -9 + 2 + (-1348 - -1345).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945014317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) 0.05 (c) 3 (d) 22 (e) -3 (f) 665\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 8, 2*o + 22 = y - 2*o. What are the prime factors of 2\/(y\/(-3))*-18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 27*y - 201. What is f(-22)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 381190067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 21 + 6 + (-27)\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*h - 57. Let k = -49 + -156. Let a = k + 314. Calculate the remainder when a is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 26*x**2 - 25*x + 26. Calculate the remainder when 452\/9 - 6\/27 is divided by b(25).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*q**3 + 31982*q**2 - 1829628 with respect to q.\nAnswer: -57*q**2 + 63964*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 - 328 = 31*l + 94 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.958 - 0.142. Let b = n - 87.9. Let y = b + 96.4. Put 1\/4, y, -0.2 in decreasing order.\nAnswer: y, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 + -3 - 11) + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 3*y**2 + 10*y - 2. Let a be c(4). Let q be ((16\/(-44))\/2)\/((-2)\/a). Solve -5*i - 10 = -b, i + 2 = -3*i + q*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 31\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a millimeter in micrometers?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -273.3 + 272. Sort 2, g, -4\/7, 5 in decreasing order.\nAnswer: 5, 2, -4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(12672\/33)*30\/2*2\/(-140)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -8)\/(25 - 28).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.11 - 0.4.\nAnswer: -5.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130143 (base 5) in base 10?\nAnswer: 5048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -254\/1451913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -4, -8, -22 in ascending order.\nAnswer: -22, -10, -8, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2. Let x(d) = -11*d - 10. What is i(x(y))?\nAnswer: 121*y**2 + 220*y + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13207 and 14937117.\nAnswer: 14937117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -923.835 to the nearest ten.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415588661?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 3, 0, -7, -18?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hetjhjneheehheeeeexh. Give prob of picking 1 t, 1 j, and 2 e.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30833 (base 10) to base 9\nAnswer: 46258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.329 - -14.829. What is the closest to -0.2 in -2\/9, 26, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 - 63*t**2 + 22*t + 51. What is the remainder when g(21) is divided by 68?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 + -49. Suppose -4*q - j = -216. What is the lowest common multiple of 14 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 - (-694)\/10. Let a = -72 - -74. Let z be (-10 - -6) + (-4 + 56 - a). What is the greatest common factor of z and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -345, 2, 1, -4 in ascending order.\nAnswer: -345, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 3. Let q be (0 + -5)\/(i\/6). Solve 4*g + 4*f - 19 = 13, -5*f + q = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -6*w - q, 4885*w - 4890*w + 3*q = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312533 is divided by 152627?\nAnswer: 7279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*v - 18 = 0, -20 = -2*v - 3*v. Let j(b) = -r*b**2 - 7 + 6 + 3*b**2 + 3*b. What is the units digit of j(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 114*a**2 - 15*a + 82. Is f(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.53 and -32.\nAnswer: -16.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14\/(-21) - (-6)\/(-18)*-716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -449 + 1025. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/78 and 113\/14.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10494511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038893919 rounded to seven decimal places?\nAnswer: -0.0003889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*q + 18, 1171*i - 1172*i - 4*q = -33. Calculate the remainder when 1256 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose -65 = -4*r + 127. Suppose 0 = -2*w - o*w + r. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 180\/4 + 3 + -1. Let i = -45 + n. Solve -3*u + w - i*w = 13, 2*u + 2 = -4*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/42 + 4188\/14. Let b = 40 + 456. Let n = b - r. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**2*o**3*w - 275803*d**2*o**3 - 302*d**2*o**2*t*w - 2*d**2*o*w - 3*d*o**2 - o**3*t - o**2*w - 32*o**2 + o*t wrt o.\nAnswer: 18*d**2*w - 1654818*d**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102110002111 + 1?\nAnswer: -102110002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -732*a - 7964 + 69 - 889 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 + 2*b. Suppose 4 = -6*m - 2. Let j be u(m). Solve 6 = -j*c + c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1968*c - 246*c**2 - 1962*c + 3930*c.\nAnswer: -246*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 5*u - 131. Let t be 1\/(-2) - (-2)\/4. Suppose t = h - 2*h + 5*y + 17, -2*h + y = -u. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10152*-133\nAnswer: 1350216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203452 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-33) + ((-1432)\/(-11))\/1.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 9. Let t be o(-7). Suppose 5*n = -t, -3*n = i + i - 43. Let p = 20 + i. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.599 + -0.399. Sort b, -5, 0.4 in descending order.\nAnswer: 0.4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2 + 4*c + c**3 - 21 + 3 - 11*c**2. Does 11 divide k(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -5*v - 6, 2*m = 3*v + 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/28 - 12) + (4 - -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*t**(-14\/3))*t\/(t\/(t*t**(-7)*t)) assuming t is positive.\nAnswer: t**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from iqrbw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 7481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1196016 divided by 16\nAnswer: -74751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1495040.211 rounded to the nearest one hundred?\nAnswer: -1495000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 8*i**2 - 5*i - 18. Suppose 0 = p + 2*s - 9, 4*p - s = 31 + 23. What are the prime factors of j(p)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/5 - ((-264)\/55)\/(-6). Find n, given that -1\/4*n**3 + 0*n**2 + b*n + 0 + 1\/2*n**4 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 887\/5*h - 1\/5*h**2 = 0 for h.\nAnswer: -887, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -8. Let z(u) = -11*u**2 + u - 4. Let p be z(3). Let t be p\/(-55) + a\/22. Solve -t = 4*k - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 56*b + 146. Let p(d) = -52*d - 145. Let k(y) = 6*i(y) + 7*p(y). Differentiate k(a) with respect to a.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/5 - (-6)\/(-45)*-6. Solve 4*o - 2 = -2*t, r*o + 3*t = -2*t + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 4 + -2 + 0 + (30 + -51 - -20)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2)*l*l**(1\/2))\/((l\/(l\/(l*l**3)))\/l**(-2\/3))*l**5*((l*l**(-3))\/l*l)\/l*(l**(-6)\/l)\/l**(-4\/9) assuming l is positive.\nAnswer: l**(-157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -28*z**2 - 4*z - 20. Let x be u(-5). Let b = x - -704. What is the lowest common multiple of b and 732?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 749b5 + 1?\nAnswer: 749b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26853295?\nAnswer: 5, 7, 311, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4674*o - 7979. Let u(a) = 3*a**2. What is v(u(l))?\nAnswer: -14022*l**2 - 7979","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 55*l**4\/4 + 289*l**3\/3 + l**2 - 51. Find the first derivative of g(n) wrt n.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*w + 140*w + 143*w + 168*w - 591*w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 6*h + 30. Let t be ((-14)\/(-21))\/(1\/(-60)). Let z be t\/6 - (-10)\/15. Put 3, z, h in decreasing order.\nAnswer: 3, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -100*t**2. Let a(v) = 121*v + 2. Determine a(n(b)).\nAnswer: -12100*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -2092, -3096, -4102, -5110, -6120?\nAnswer: -7132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4039823 to two decimal places.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254\/3 - 256\/3. Let a be (-2 + 1)*-1 - 6. What is the closest to o in 1\/3, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6844.86 + 176.14. Which is the smallest value? (a) 4 (b) -4 (c) k (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwpvowzpzpwwwpzppp. What is prob of picking 2 z and 2 p?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59175 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-150212.700719\nAnswer: -150212.400719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*f**4*t**3 - 7*f**3*t**3 - 1104*f*t**2 - t**3 wrt f.\nAnswer: 432*f**2*t**3 - 42*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 12:35 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 49202.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {g: 2, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 249*p**2 + 3423*p - 184. Determine i(-137).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -3\/16*f**4 - 7\/4*f**3 - 27\/4*f + 51\/8*f**2 - 98. Factor v(k).\nAnswer: -3*(k - 1)**2*(k + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4277*10759.9.\nAnswer: -46020092.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.39099 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 790669559\/25075865 + -11\/172937. Let w = x + -158\/5. Is w at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1210 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.326*-25.38.\nAnswer: -8.27388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 604875672 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3 - 1635*g**2 - 9837*g - 14769 = 0?\nAnswer: -3, 1641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -6 + (-27 - -43)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 17*u - 8. Solve -u = -3*m + m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83330 - 69550 = -42*a. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10679 divided by 94710?\nAnswer: -10679\/94710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010151 to four decimal places.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8008 - 6292. Calculate the lowest common multiple of 72 and k.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*d + 3. Suppose 0 = 5*i + d*v - 57, -10 = -i + v - 0*v. Let x = i - 11. Which is smaller: x or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019514 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 9*q - 7. Let a be y(8). Solve 3*h + 2 = -a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1243952*t**2 - 535151*t**2 - 79520*t**2 - 858577*t**2.\nAnswer: -2717200*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, d: 2, x: 1, w: 5, b: 7}. What is prob of picking 2 b and 1 w?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32207639 divided by -17?\nAnswer: 1894567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 32 = 5*u, -5*c - 3 = -18. Suppose 3*n - n - u = 0. Suppose 4*r + n*o - 70 = r, 4*o + 58 = 3*r. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.3 - 74.3. Let r = -14.5 + 2.5. What is the closest to u in -6\/11, r, 3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28420)\/174)\/(1\/((-12)\/8)). What is the highest common divisor of 30 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-22 - -18 - -18) - -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30029865 or 1\/4?\nAnswer: 30029865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -3 (c) 1\/11 (d) -330\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 514625 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567 and 28413.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54575069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67763, -67765, -67769, -67775?\n\"Answer: -x**2 + x - 67763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-6\/5))\/t)\/(t**(-7)*t*t))\/(t*t*t\/(t*t*t\/t**(3\/5)*t)*t*(t**(-3)\/t)\/t))**(-45) assuming t is positive.\nAnswer: t**(-477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1734\/203 in 2, 0, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 13613, -59, 3 in increasing order.\nAnswer: -59, 3, 13613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Suppose 3*l - 5 - s = 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 = -a, -4 = 3*t - 4*t. Let l = 5 + a. What is the highest common factor of l and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 979 and 1424.\nAnswer: 15664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 13*c**2 - 19*c - 29. Suppose -5*r = -b + 4*b - 33, 33 = 3*b - 3*r. Let g be i(b). Solve x - 2 = -2*s, g*x - 9 = x - 3*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -33*i**4 - 501*i**3 - 948*i**2 - 156*i = 0?\nAnswer: -13, -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 1. Let t be h(2). Suppose 1 + 12 = 3*u + 2*l, 10 = 5*l. Suppose -u*j = -t*j. Solve i + 2 = -j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139336*r**4 + 4*r**2 - 13179632*r.\nAnswer: 1672032*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 24 = j. Which is the second smallest value? (a) -0.07 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 23*t**2 - 46*t**2 + 22*t**2 + 2*t. Suppose -2*b + 21 = -4*i - 3*b, 4*i + 12 = -4*b. Let d(p) = -2*p**2 + 3*p. What is i*y(x) + 4*d(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 17*b**2 - 14*b - 38. Let p be s(17). Let t = 287 + p. What is the highest common divisor of 352 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p - 2. Let v(s) = 9*s - 3. Give 7*i(z) - 4*v(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)*t**1)**(1\/8)\/((t**(2\/21)*t\/(t**(-2\/17)\/t*t)*t)\/((t\/((t\/t**(-2\/11)*t)\/t))\/t**(6\/7))) assuming t is positive.\nAnswer: t**(-137503\/31416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 48. What is the third derivative of -x**2 + 0*x**3 + n*x**2 + 2*x**3 + 2*x**3 wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 819?\nAnswer: 17199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/16)*z**(-6)*(((z**(-1\/9)*z)\/z)\/z)\/z*z\/((z\/(z**(-1\/8)\/z))\/z) assuming z is positive.\nAnswer: z**(-1213\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1849 smaller than -29585\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344358 is divided by 3444.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1415, 2816, 4235, 5678, 7151?\n\"Answer: f**3 + 3*f**2 + 1385*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g**2 - 9106. Let y(f) = -39*f + 4. What is i(y(c))?\nAnswer: 16731*c**2 - 3432*c - 8930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 6, p: 1, a: 3}. Give prob of picking 2 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5085432 + 2.37654191. Let o = 71 - 70.868. Let j = f + o. What is j rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-52 + (-42 - -41))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131402 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.113 - 17.813. Let d = -18 - f. Which is the closest to 0? (a) d (b) 0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Suppose 0 = 4*g + 3*p + 8, d*g - 3*p = -4*g - 8. Put 5, -1, g in ascending order.\nAnswer: g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 4*z**2 - 37*z + 35. Let f be a(8). Put 6\/11, f, 99, 0.4 in decreasing order.\nAnswer: 99, 6\/11, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**5 - 1800*b**4 + 49779*b**3 - 56694*b**2 - 881964*b - 1110024 = 0. Calculate b.\nAnswer: -2, 6, 27, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*-1*(-20)\/(-30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52 + (27 + -18 + 3 + -18 - 0)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4368 and 1.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*w**2 - 7*w**2 + 22*w**2 to p + y*w + f*w**2 and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*c - 2 + 14 = 0, -10 = -2*c. Let n = -2 - k. Suppose -2*v - 4*t - n = -0*v, -5*v + 11 = 2*t. Sort -5, 5, v.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -40) + (0 - 13) + -14?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -156659, 1, -13, -1 in descending order.\nAnswer: 4, 1, -1, -5, -13, -156659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -10.605605\nAnswer: 21.21121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -310*b*r**2*s**2 - 596*b*r**2*s + b*r*s**2 - 2*b*s - 9*r**2*s + r*s**2 + 518595*s**2 - 2 wrt r?\nAnswer: -620*b*s**2 - 1192*b*s - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 129*l - 132*l + 30, -14 = -4*l + 2*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 639297 + -639287. Factor -q + 2\/3*h + 1\/6*h**4 + 15\/2*h**2 - 3*h**3.\nAnswer: (h - 15)*(h - 2)**2*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + x**2 - x**2)*(2 - 1 - 2)*(-164 + 88 - 674) + (-2*x**4 + 2*x**4 + 2*x**4)*(3 - 1 - 4).\nAnswer: 746*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/21)\/(2\/(-12)). Suppose -9 = b*f + f. Sort 1, f, 2 in decreasing order.\nAnswer: 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-1089)*33*24\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14872934 + -1606703. Let k = -16479627.900061 - w. Let d = k - 9.1. Round d to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 5*x + 4 + 16*x - 7 - 7*x - 8*x + 3*x - 3*x - 2*x + (1 - 5 + 2)*(3 - 3 + x) + (4 - 2 - 3)*(x - 4*x + 2*x).\nAnswer: 3*x - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*m + 4440 = -332*m + 1035*m. Factor -7\/6*d**2 + 0 + 1\/6*d**5 + 3\/2*d**3 - 5\/6*d**m + 1\/3*d.\nAnswer: d*(d - 2)*(d - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2619? (a) 7\/30 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2875\/2*(-48)\/(-10). What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 + 135.35. What is a rounded to the nearest integer?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 57, 0.1, 4\/3, 21\/5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2) - 1\/2. Suppose 0 = -r + 4*c - 3, 4*r - 3*c + 6 = 2*r. Let x = -12 - -12. Sort r, x, t in increasing order.\nAnswer: r, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 748*h - 5786. Is 165 a factor of v(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-183)\/(-305))\/(2\/2))\/((-66)\/(-20))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((330\/88)\/15)\/((-1)\/((-32)\/10)). What is the third smallest value in d, -125, 0.03?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737.9 rounded to the nearest 10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:42 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 6*k**2\/11 - 2896*k\/11 + 25578\/11 = 0.\nAnswer: 9, 1421\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4816 greater than -4815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)\/((-4)\/(-12)). Let x be 28 - ((-1)\/1 - o). Let i = 45 - x. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/5, -1, 212?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3.12 (b) -4\/7 (c) 3 (d) 30 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*r + 13, 4*s + 2*r = -4 + 2. Suppose 3*c + 95 = -25. Let a be ((-4)\/8)\/((-4)\/c). Sort s, a, 15 in increasing order.\nAnswer: a, s, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 6)\/(25\/(-50)). Find m such that 8*m**u + 32*m + 2\/3*m**3 + 128\/3 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((4 - 1) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3 + 1194*w**2 + 140715*w + 4135428 = 0. Calculate w.\nAnswer: -177, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -2.252.\nAnswer: -1.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Differentiate a*c + 0 + 0*c + 0*c - 3 wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3022, -3023, -3024?\nAnswer: -3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963654.\nAnswer: 2, 3, 23, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/16*-4 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*j + 192 = -21*j. Solve -12*d + 13*d + 1 = 0, -3*d = j*s + 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**3 - 15*m**2 - 67*m - 197. Give u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54.82 and 0.96.\nAnswer: -52.6272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182403271.00000001 + -182403273. Let x = v + 2. What is x rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 752 and 267853?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 42321?\nAnswer: 42312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 11*n - 3158. Find the second derivative of 281*q**2 - 64*q + 45*q**3 + 262*q - n*q**2 wrt q.\nAnswer: 270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2550\/255*(-2)\/(-170)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - v = 45 + 9, 3*c + 2*v - 46 = 0. Calculate the remainder when 19 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6815\/17 - 401. Suppose -3*v + 0*y - 6 = y, 0 = -4*y. Which is the second smallest value? (a) l (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021749 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: Let i(f) = 356*f - 562. Let g(u) = -355*u + 570. Let c(w) = -2*g(w) - 3*i(w). Differentiate c(q) with respect to q.\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -9199.\nAnswer: -9208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2. Let c(x) = 288 - 290 - 7*x + 18*x. Calculate t(c(d)).\nAnswer: 484*d**2 - 176*d + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.19. Let u = 0.51 - h. Let g = -11 + 16. Which is the second smallest value? (a) 3\/4 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - x**3 + 3*x + 4*x**2 - 6*x - x - 3. Let o be k(4). What is the highest common factor of 52 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65413544*v**3 - 475473707 wrt v.\nAnswer: -196240632*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 2, y: 2, q: 2}. Give prob of sequence mq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397678*t + 795341*t - 397666*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 263819137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1782 - 7075\/4. Let k = 355\/28 - b. Let d(p) = p**3 + 14*p**2 + 13*p + 2. Let g be d(-13). Is k <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 8*p**2 + 10*p + 16. Let o be s(6). Suppose -5*y = 5*r - 40, o*y - 6*r = -2*r - 8. Which is the nearest to -1? (a) -2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:14 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-282)*-2*(-25)\/(1625\/26).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from acccaaccacaaccacccch.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040984 rounded to 4 decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*d + 25*d. Let p(x) = d*x + 9*x - 10*x. Let t(l) = 23*l. Give p(t(g)).\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 - 37 = 0. Let t = j + 14. Solve -t*r + 4 = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 19899*m**2 - 19881*m**2 + 2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2529)\/4215)\/((-87)\/(-10)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*w + 301*w + 1856 = 369*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 7245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 4}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + j = -3*l - 6, 0 = -2*j + 3*l + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -93. Suppose -i*x + 35*x + 256 = 0. Let w = x + 72. Solve 5*k - 4*a + 2 = -2, -3*k + 5*a + w = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -41*r. Let c(i) = 3*i**2. Calculate v(c(j)).\nAnswer: -123*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6175615 and 1309528?\nAnswer: 543454120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -453*m + 44. Let l(g) = 454*g - 35. Calculate -5*l(u) - 4*v(u).\nAnswer: -458*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - i + 4*i - 13 = 0, 2*i - 2 = x. Suppose -x*k = c + 3*c, 5*k = -2*c - 6. Solve -4*n + c*n + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -225490 >= -2480380\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + (-3 + -4 - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 0*h**2 + 0*h**2)*(7*h**2 - 5 + 5) + 404*h**4 - 404*h**4 - 8*h**5.\nAnswer: -22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*f + 1, -3*x + 8*f - 12*f = -22. Let n be x\/(-4)*2980\/(-15). Let w = n + -183. What are the prime factors of w?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-11 - (-28 + (14 - -24) - (21 + 0)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:42 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 - 2*m**3 + m**3 + 15 + (2*m**2 + 0*m**2 - 3*m**2)*(1 + m - 1) + 0*m - 2*m**3 + 0*m in the form a*m**2 + t*m + c + q*m**3 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298326006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * 49.91.\nAnswer: -2695.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -21*r**2 + 6*r + 6. Let c(w) = 12*w**2 - 3*w - 3. Determine -13*c(o) - 6*z(o).\nAnswer: -30*o**2 + 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 63, -4, 3 in decreasing order.\nAnswer: 63, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkijiihttitektk. What is prob of sequence thj?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 321509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 5 = -20*k. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7\/5)*(j\/j**(1\/23))\/j*j)\/((j**(-6)*j*j)\/j*j*(j*j*j*j*j*j**6*j*j)\/j))**(-26) assuming j is positive.\nAnswer: j**(25246\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119 in 1, 3, 73970?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 1234 + 515 = 349. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + l - 167, 0*y + 3*l + 104 = 2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 498 and 45966.\nAnswer: 3815178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**6 + 2*x**5 + 2*x**3 + 4*x**2. Let y(z) = z**6 - z**5 - z**3 + z**2. Let g(h) = b(h) + 2*y(h). Find the third derivative of g(t) wrt t.\nAnswer: 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**4 - h**4 - 5 + 1 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (7 + -8 + -5)) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 15*a - 12*a + 84 = 0, 4*a + 951 = 2*x + 983 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66745\/8 - 8362. What is the biggest value in 0.1, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 129 = 2*d - 145, 0 = d - 2*n - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:01 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5 + 501*o**4 - 62499*o**3 - 63001*o**2 = 0. Calculate o.\nAnswer: -1, 0, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**4 - 2*f**4 - 9 + 9 + 11*f wrt f?\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 82, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 61a2?\nAnswer: -6193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*x + 35, -5*x + 2*n - 826 = -846 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92909027.\nAnswer: 92909027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 80013 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 24*m - 16. Let k be g(21). Let c be k\/(-2) + (-7)\/(-14). Calculate the greatest common factor of 160 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121162645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10310 (base 4) to base 16.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 6.\nAnswer: -103\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 1276871120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2014 = -2422*g + 2403*g. Calculate the remainder when 279 is divided by g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 13. Suppose 2*c - 18 = -38. Let g be y(c). Suppose -g*i = -i. Solve i*d + 4*l + 10 = 2*d, 0 = 2*l + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkkf when four letters picked without replacement from fnnnnffffkn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 3. Let o be l(-2). Let g(q) = -o*q + 4*q + q. Let k(r) = 1 - r - 1 - r. What is k(g(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -19*y - 4. Let m(k) = 2*k + 6. Let a be m(-2). Let s(t) = -9*t - 2. Let p(j) = a*v(j) - 5*s(j). Let x(z) = -20*z - 6. Determine -17*p(o) - 6*x(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 50*h - 198. Let f be j(4). Let a be (-196)\/(364\/13) + (-72)\/(-10). Find d, given that 3\/5*d**f + 0 - a*d**3 - 2\/5*d = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.88 - 10. Let q = u + 0.02. Which is the second biggest value? (a) -3\/4 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78\/85 + -4\/5. Let w(b) be the second derivative of -b**5\/20 + b**4\/2 - b**3 + 2*b**2 + b. Let y be w(5). Is y > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1943734281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 + -117. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23763.983503+-13\nAnswer: -23776.983503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 61 in decreasing order.\nAnswer: 61, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -229 + q**2 + 2*q**2 + 228 to h*q**2 + k + s*q and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1. Let p(t) = -t**2 - 4. Suppose -5*o - 2*y - 26 = 0, 0*y + 6 = -2*y. Let g(k) = o*z(k) - p(k). Let v(u) = 2*u + 2 + 5 - 7. Determine g(v(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 13*b**2 - 15*b + 13. Let k be s(14). Let v be 0\/4 - (k + (-92)\/(-2)). Let d = -35 - v. Solve 3*f = d - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 424 - 409. Let m(h) = h**3 - 16*h**2 + 26*h - 73. Let l be m(a). What is the highest common factor of l and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33476, 33455, 33418, 33359, 33272, 33151, 32990, 32783?\n\"Answer: -q**3 - 2*q**2 - 8*q + 33487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 2*a**2 - 12*a - 3. Suppose h + 15 = 23. Is t(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y - 49*y + 58 = -2*d, 4*y - 2 = -d - 13 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/30 and 64\/155?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(570\/(-12)))\/((-42)\/2205).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*2\/(-15)*5. Suppose -4*v + 31 = 3*i, t*v - 14 = -5*i + 19. Let l(p) = 0*p**2 + i*p + 4 + 1 - 2*p**2 + 3*p**2. Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3314.2689 to the nearest ten.\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18552476 to the nearest integer?\nAnswer: 4307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 123 + 34a05?\nAnswer: 34b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2 - -4)\/(-1))\/1. Let j = -4 - i. Is (-302)\/((-6)\/3) + j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c**2. Let a be o(0). Suppose -5 = -0*t + 3*t - 5*g, 2*g - 2 = a. Factor t + 0*i - 1\/3*i**2 - 1\/3*i**3.\nAnswer: -i**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 5*i**3 - i**3)*(-5 + 1 + 5 + 2 + 0 - 4 + (-4 + 2 + 0)*(1 - 4 + 4) + 3 + 3 - 4)*(-3*i - 2*i + 4*i).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxuxcbucxbzzccxzu. What is prob of sequence zx?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (0 - (19 - 9)) - 10) + -74 + 5\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14280*q**3 - 16255*q**2 - 15*q. Let v(d) = -3571*d**3 - 4063*d**2 - 4*d. Let a(j) = -15*v(j) + 4*z(j). What is the third derivative of a(x) wrt x?\nAnswer: -21330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31408993*j**3*k - 3106*j**2*k + 129*j - 2*k wrt j.\nAnswer: -188453958*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*d = -16, 2 - 14 = -4*u - 4*d. Suppose u*p = -q + 5, 3*p + p = 4. Suppose -q = 3*s - 7. Solve -3*a - s*l = -0 - 11, 5*a = -4*l + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 8 = 2*g, 0 = -4*g + 4*c + 2 + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -13*o**2 - 19*o. Let m(h) = -29*h**2 - 40*h - 1. Let g(b) = 9*k(b) - 4*m(b). Calculate g(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30218?\nAnswer: 2, 29, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 51074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29972431 smaller than 29972430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 232311123323?\nAnswer: -232311130013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 5. Suppose 0 = -g*o + 176 + 244. Suppose 0 = 4*a - 0*s + s - 51, 5*a - 72 = -4*s. What is the highest common factor of o and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + 77\/28 - 6\/8. Is ((-129878)\/((-77)\/c))\/(2 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(sqrt(112)\/sqrt(4) + 2)**2.\nAnswer: 32*sqrt(7) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 582965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7804.27867 and 21181.6.\nAnswer: 28985.87867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -836 * -0.4\nAnswer: 334.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -22301853?\nAnswer: 1338111.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -146700 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0 - 2*y + (-2 - 2 + 5)*(-y + 2 - 2) - 2*y + 3 - 3 + y - 2*y + 0*y)*(12 + 6 - 19) in the form x*y + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51099682.00237 + -51100004. Let m = v - -322. What is m rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 37883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 216, 710, 1672, 3258, 5624, 8926?\nAnswer: 13320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3274281.9 + 3274281.837999748. Let p = l - -0.062. What is p rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/135 and 6 - (-2 + 2) - (4249\/(-1533) + 9)?\nAnswer: 9855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662088.3l in millilitres?\nAnswer: 662088300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 151, 253, 351?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + 51. Let s be a(-9). Suppose -8*b - s*b = -5404. What are the prime factors of b?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 - -7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 a factor of 122210366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108) - sqrt(108)) + (sqrt(12) + -1)**2 - 2*(-1 + sqrt(12)).\nAnswer: -8*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.426 + -0.026. What is the biggest value in 0.3, m, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/48 and -145\/42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*v = 79 + 19 + 212 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -11*d - 3. Let t be k(-1). Suppose -t*g = -4*g + 2760000. What is g rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 31. Let u = -6.99895 + j. Round u to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1014*a**3 - 3*a**2 + a + 22879 wrt a.\nAnswer: -3042*a**2 - 6*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 4 - 1 + 3 - 1 - 4 + (2 + 1 - 5)*(4 - 2 - 3))*(-1 - 2 + 2) + (-3 + 3 + 3)*(1 - 3 + 3))*(51*q - 67*q + 1 - 5) in the form z + o*q and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 282\/(-36)*-1. Let g = -103\/30 - a. Factor 0*o + 0 + g*o**3 - 8\/5*o**2 + 4*o**4.\nAnswer: 4*o**2*(o + 1)*(5*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 101. Solve -5*p - 2*c = 23, -j*c = -p + 3*c + 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 3*q**3 + 3*q**2\/2 + q + 68. Find the second derivative of z(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 13315?\nAnswer: -5326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 5. Let o(a) = a**2 - 5 - a**3 + 10 + 0*a**3 + 8*a**2 - 8*a. Let k be o(8). What is u(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19586 times 19?\nAnswer: 22.72134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.21258205 to one decimal place.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 q, and 2 e when four letters picked without replacement from pernqrec?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 e when three letters picked without replacement from eegeeeggggge.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:42 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 2 + sqrt(200))*4 + -6*(1 + sqrt(200)))**2.\nAnswer: 80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13736 divided by 3434\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 0*l**4 - l**4 + (2*l**2 - l**2 + 0*l**2)*(2*l**2 + 2*l**2 - 5*l**2) + 6*l**4 - 3*l**4 - 28*l**2 + 23*l**2.\nAnswer: 4*l**4 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/38619 and 41\/4904?\nAnswer: 308952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-7)\/12*3039\/(-7091)*(-3)\/(-17)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -12. Let b be z - -5 - (-7)\/5. Let f(l) = -l + 8. Let x be f(8). Which is greater: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 36\/(-18)) + 16\/(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 19*w**2 - 40*w - 1436. Give c(-15).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 587.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 3*n - 26 - 19.\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 293 - 290. Suppose 0 = 4*b - 8, 129414 - 394008 = -g + v*b. What is g rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6919 - 6510 - 220*z**2 - 505*z**2 wrt z.\nAnswer: -1450*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 0.9, -13, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**3\/6 + i. Let d(r) = 252*r + 84. Let v(c) = 50*c + 16. Let u(q) = 4*d(q) - 21*v(q). Calculate b(u(p)).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643773 (base 9) to base 3.\nAnswer: 201110212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 6 + -6 + -2 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 - 4 + 7*k**3 + 4 with respect to k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/(2\/16). Calculate the common denominator of (-15)\/f*(-34)\/(-3) and (1\/(-6))\/(3\/8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - -1) + -15 + -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012599289 to six dps.\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -119. Let m be 161\/a - 2\/7. Solve 0 = -t - m*v, t = -3*t + 3*v - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2272381 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 9:43 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-82) + 5475\/7175. Suppose 0 = -7*n + 11*n - 8. Which is the biggest value? (a) l (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6110e - -3e5?\nAnswer: -60d29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5137811225.\nAnswer: 5, 2141, 95989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-141)\/54)\/(-47))\/(((-96)\/(-36))\/2).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 14875 - 16757 = 4*y, 24 = 4*y. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 5. What is the common denominator of (-4)\/j*13*2 and -69\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 12 + (-4 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -15. Let c(r) = r**3 + 6*r**2 - 3*r + 2. Let w be c(l). Suppose -m = -4*h - w, m = -m - 4*h + 16. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 u when four letters picked without replacement from kuuuuuskkkukuk?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 21 = y + d, 5*d + 33 = -y. Let q = 22 - 17. What is the tens digit of (-1 - q)*(-10 - y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/24 and ((-840)\/40)\/((-8)\/3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/60 - i**5\/12 + i**4\/24 - i**2. Does 13 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 6:06 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3 + 4 - 7207*a + 3.\nAnswer: -7207*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*m + 7*u = -73*m - 38, -2*u - 7 = m. Solve 0*x - 12 = -m*x + i, -5*i + 4 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5541?\nAnswer: 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Suppose f*j - 7*j = -15. Suppose -3*v + 12 = 4*r, r + j*v - 3 = 4*v. Which is the smallest value? (a) 5 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -288 + 286. Put o, 1, 5, -27 in increasing order.\nAnswer: -27, o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.3 + 5. Let w = -45.2 - -44.8. Sort f, -14, w in increasing order.\nAnswer: -14, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1609, 7083, 16207, 28981, 45405, 65479?\n\"Answer: 1825*n**2 - n - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**6\/120 - j**5\/6 + j**4\/24 + 4*j**3\/3 + 21*j**2. Suppose 8*v + 13*v - 260 = -5*v. Calculate k(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-28)\/42*-9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5784 and 343907?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(200\/15) - (-134)\/20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/72 - 83\/(-6). Suppose -2*v = -22 + n. Suppose -v*p = 20 - 8, 0 = -4*f + 2*p + 6. Solve s - 3 + 2 = f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + ((7 - (1 - -2)) + -7 - -11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122 + (-224 - -17 - -91)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 3. Let c be j(-2). Let h(r) = 6*r**3 + 2*r**2 - r. Let z be h(c). Let p = 20 - 12. Solve -z = -5*n + m, -5*m = n - 3*m - p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8218582 divided by -28438.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 5. What is the remainder when w(-3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.18716, 13, 4?\nAnswer: 0.18716","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4 + 11. Let c be ((12\/21)\/(2\/j))\/23. Let g = -4 - -3. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-6 - -2 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-1\/7))\/a)\/a*a)**(13\/4))**(-26) assuming a is positive.\nAnswer: a**(169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5349 + 5349 - 135*a)*(-6*a + 35 - 35).\nAnswer: 810*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5 - 27. Let u = -8 - g. Let k(y) = -y**3 + 11*y**2 - 23*y - 5. Let h be k(u). Solve -3*v + h = -4*v, 2*v = 5*a - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 - -251. What is the remainder when (5 - 2)\/3 + u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.2, -2\/17, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(240\/75))\/(2\/(-10)). Suppose 0 = -4*a + 2*a. Solve a = -y*o + 20*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*d + 125 = 370 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - (-943)\/(-41))\/(-6).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 + 14*c**3 + 9*c - 2*c**3 - 10*c**3 to p*c + o*c**2 + f*c**3 + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3689*d**3*m**2 + 660*d**3*m - 2*d**2 - 26263036*d*m**2 wrt d.\nAnswer: -22134*m**2 + 3960*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200975 - -1153.\nAnswer: -199822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25907 + -4?\nAnswer: 25903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**3 - 12*n**2 - 16*n + 30. Let t(r) = 3*r + 4*r**2 + r**3 - 3*r**2 - 2*r. Let j(y) = h(y) + 12*t(y). Differentiate j(m) wrt m.\nAnswer: 12*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnsdnnskksnnkl. What is prob of sequence ln?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -86\/7, 0.1, 1\/9, 92?\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2. Let i(q) be the first derivative of 6*q**3 + 62. Determine i(f(t)).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3341 - -9743. What are the prime factors of l?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4*x\/x**(3\/2)*x**(-1)\/(x*x**(-3)*x))\/((x\/(x**(1\/2)\/x))**(-3\/22)*x\/(x*(x*x\/(x\/(x\/(x*x**(-2)))))\/x)*x*x\/x**(-1\/4)*x) assuming x is positive.\nAnswer: x**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7023*j**3 + 37*j + 5498753.\nAnswer: 21069*j**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - d**2 - d**4 + (0*d + d + d)*(-3*d**2 - d**3 + 3*d**2) - d**2 + d**4 + d**2 + (320 - 157 - 175)*(-d**3 - d**3 + 3*d**3)*(-d - d - d).\nAnswer: 34*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -89353, -178623, -267895, -357169, -446445, -535723?\n\"Answer: -h**2 - 89267*h - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.4 + 0.6. Let r(o) = -10*o + 32. Let g be r(8). Let p be (-2)\/(-16) + -2 + (-122)\/g. Which is the biggest value? (a) u (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 91, 84, 43, -32?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 30 = -h + 2, 112 = 5*h - 4*u. Suppose 5*g - g = h. What is the common denominator of (-55)\/g + (-2)\/(-8) and 97\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -29 (b) 2.3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101002222120 (base 3) to base 9.\nAnswer: 332876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 24 + 60. Suppose -47*d = 4*h - 42*d - 193, -q*d - 148 = -4*h. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**5\/40 + 17*l**4\/24 + 207*l. Find v, given that a(v) = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 3, 67.\nAnswer: -1, 0, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1eb4 (base 16) to base 6\nAnswer: -100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(13\/((-780)\/70))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minus -2665049162.5?\nAnswer: 2665049204.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 6*s + 3*s)*(-4*s**3 - 6 + 9*s**3 - 184*s + 194*s).\nAnswer: -15*s**4 - 30*s**2 + 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:21 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1675 = 5*k, 4*i = 4*k + 1182 + 1062. What is i rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4902*n**5 - 8288*n**4 - 2*n**2 - 32*n - 665807 wrt n?\nAnswer: -98040*n**3 - 99456*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6959\/6 - 69407\/60. Find the common denominator of y and 181\/(-846) - 2\/9.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000735356 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/120 + v**5\/20 - v**4\/24 + v**3\/6 - 5*v**2. Let t be h(-3). Let u be (-35)\/(-20) + 8\/(-4). Are t and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -4649844.3833.\nAnswer: 4649839.3833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/3 + 29*x**2 - x + 98. Calculate the least common multiple of v(-25) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24975 and 4431?\nAnswer: -1106.64225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5025 + -5020. Let m(x) = x - 2. Let i be m(-3). Let r = 8 + i. Solve r*p + 5*k = y*p + 7, 0 = 5*p - 5*k + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 247667*g + 22537692. Give p(-91).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**7*p*p**(-2) assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2 (c) -4 (d) -0.25 (e) 142 (f) 2\/3 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.61 - -8.3. Let o = 0.63 - s. Let m = 0.940012 - o. What is m rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-90)\/75*5\/2. Let f(b) = 6*b**2 - 2*b - 1. Let y(s) = 7*s**2 - 3*s - 2. Let p(d) = -6*f(d) + 5*y(d). What is p(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 6*a**3 + a**3)*(255 - 6*a**2 - 9*a - 506 + 253).\nAnswer: 6*a**5 + 9*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -1\/60*d**5 + 0*d**4 + 0 + 0*d**7 + 1\/336*d**8 + 0*d**3 + 0*d**6 + 0*d + 2*d**2. What is the third derivative of x(c) wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 101\/620 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180817721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**2 + 2*m - 1. Suppose 7*g + 6 = 10*g. Suppose g*b - 6*b = f - 69, 2*f - 12 = -b. What is the remainder when b is divided by w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1937*o - 4909*o + o**3 + o**4 - 2890*o to the form z*o**2 + s*o + h + x*o**4 + y*o**3 and give s.\nAnswer: -5862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 - 116. Suppose 2*q = -i + 1237, 3*q + 479 = x*i + 2321. What are the prime factors of q?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*2*-2)\/(sqrt(7) - 5*(sqrt(7) + sqrt(28)\/sqrt(4))).\nAnswer: 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 168000. Round b to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/30)\/(1792\/5880)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 - 50*y - 20. Let p be v(-12). Suppose -p*n - 316 = -1100. What is the remainder when n is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041640561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-50)\/(-1))\/(-4 + 5). Suppose -h = h - p - d, 0 = 5*h + 2*p - 125. Suppose 10 - h = -3*i. Sort i, 0, -4 in descending order.\nAnswer: i, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 457? (a) 3 (b) 1 (c) -1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 n, and 1 s when four letters picked without replacement from {b: 1, n: 1, s: 1, o: 3, p: 1, f: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 6 - 1\/4*k**4 + 3*k**2 - 5\/3*k**3 - k. Suppose 10 = 4*y + 34. Give b(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -41, -97, -171, -263?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336113912?\nAnswer: 2, 647, 64937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(-12)*-3 - -18 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -31, -64, 36, -13, -4 in increasing order.\nAnswer: -64, -31, -13, -4, -3, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7457 - -1.6757. Which is the fourth biggest value? (a) -7 (b) 4\/9 (c) s (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3524533754.\nAnswer: 2, 7, 23, 383, 28579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/473 and -103\/10?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(14 + 28*g - 14)*(g**4 - g**4 - g**4) + 6*g**4 + 7*g**5 - 6*g**4.\nAnswer: -21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 + 25*c**2 + 5 - 5.\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 2, x: 9, q: 4}. What is prob of sequence qq?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6891.748m to millimeters.\nAnswer: 6891748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 125.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 201119582 to the power of 1\/2, to the nearest integer?\nAnswer: 14182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10187 is divided by 3395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -582 - -620.9. Let t = 39 - n. Let w be 1*(6\/(-15) + 0). What is the closest to 1 in -3, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 6. Let a(j) = j**3 + 2*j**2 + 2. Let k be a(c). Solve 0 = -u - 5*f + 19, -7 = k*u - f - 4*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 161*k + 1364. Calculate the remainder when w(-4) is divided by 213.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 + 2377*l - 2377*l - 4 + 1 + 3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 4:03 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -624\/1333 - -31596\/33325. Suppose 0 + t*c**2 - 2\/5*c - 2\/25*c**3 = 0. Calculate c.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010111 + 1001101101?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12613201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:25 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-819)\/(-14))*9)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6*1\/((-4)\/36). Is (-4)\/w - 67058\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/792 and -52\/48075?\nAnswer: 12691800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 37*m + 16721*m**3 + 4*m**2 - 13*m + 5680*m**3 - 21*m. Let a be j(-1). Round a to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-1350)\/36). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -29. Suppose 2*t + 16 + 6 = -b, 0 = 5*b + 5*t + 90. Let s = b + n. Solve -7 = -s*h + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/7 + (-52)\/182?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -103*u - 9495. Calculate s(-93).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1050 and 4310250.\nAnswer: 4310250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Suppose -16*y = -193 - 799. Suppose -45*g = -y*g. Solve g = -2*l - l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irillriirrlliili. What is prob of picking 3 r?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009054782589 to 7 dps.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75673 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -t - 5*l, 2*t - l - 101 = -0*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 1. Let k(q) = -142*q**3 - 284*q - 284. Give -k(l) + 284*y(l).\nAnswer: 142*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 79 = 2*x - 2*m, 4*x + 132 = -4*m. Let a = 89 + x. Suppose 0 = 2*c + 3*z - a, 24 = c - z - 1. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 10:09 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 211857 in 0.3, 3, 0, -0.25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = -6. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*l - 13, 4*k + 18 - 4 = -5*l. Let y(i) be the first derivative of -9*i**2\/2 - i - 1. Determine y(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/(-15))\/((-4)\/6)*40.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -31534*c**2 + 189205*c + 20. Give w(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/61432 and -23\/35104.\nAnswer: 245728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m + 1. Let q = 36 + -29. Let z(b) = -2*b. Determine q*z(p) - 2*o(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**6 + 3*l**5\/5 + 3*l**4\/4 - 1002. Factor k(g).\nAnswer: -3*g**3*(g - 1)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 64 = -0*h. Let x be 1\/(-4) + (-56)\/h. Which is the nearest to x? (a) -2\/25 (b) 2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by 58\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103*9*(-360)\/(-270)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(-3 + -4*(4 + -1 + sqrt(171))))**2.\nAnswer: 207360*sqrt(19) + 1705536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(209)\/sqrt(99).\nAnswer: sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 2*q - 1. Let o(k) = -19*k + 321 - 11*k - 2828 - 56*k - 15*k**2. Let g(d) = 5*o(d) - 35*t(d). Factor g(u).\nAnswer: -5*(u + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1813 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5407680 and 840.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -9.9. Let m = 10 + g. Which is the third smallest value? (a) -1 (b) 13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.43 - 125509?\nAnswer: -125519.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(21\/350). Let h = -15 + m. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 3*m - 4. Let k be o(-8). Let v be (-370)\/(-14) - 3\/(k\/(-16)). Let s = 15 + v. What is the remainder when s is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3328 and 4341376?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 32. Is (y\/(-3))\/(6\/(-18)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -6. Suppose 4*s - 8 = 2*s. Let a be 6\/s*(-464)\/b. Round a to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = 5*q, -3*q - 8 = 2*p + 2*q. Suppose -u - 7 = -2*o, 4*u - 3*o - 2 = -5*o. Let w be -2*1\/(2*u). Solve w + p = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s - 8 = -2*v, 4 = 2*v - s. Let t(c) be the first derivative of -3*c - 2 + c - c**2 + v. What is the derivative of t(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20768640 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2234182 divided by -67.\nAnswer: 33346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 10) to base 7\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.358 and -5265.\nAnswer: -5264.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.4 (c) 2\/21 (d) 14 (e) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -75 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112623 + -6026?\nAnswer: -120651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.29 + 1.3. Let s = h + -0.01. Which is the closest to -0.2? (a) 1\/2 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25175 is divided by 7780.\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -383, -579, -775, -971?\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/5 + 32*q**3 - 94*q**2 + 93*q - 154\/5 = 0 for q.\nAnswer: -14, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + 0) + (sqrt(77)*3)\/sqrt(11).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(7\/3)*r**11 assuming r is positive.\nAnswer: r**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 7*h**2 + 5*h - 4. Let w be r(-6). Let y be 29 + w\/4*0. Let l = y + -17. Solve -6 - 2 = -2*i + 2*n, -i - l = 3*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*r**2*v - 138906*r**2 + 20*r*v - 10*r - 12039*v + 2 wrt v?\nAnswer: -13*r**2 + 20*r - 12039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 21. Suppose -2*z + 2*k - 3 = -z, 3*z = -h*k + 23. Suppose -80 = -4*c - z*i, 0*c + 2*c + 3*i = 42. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - 5) + 6 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -2, -0.2, 6, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 + 452. Let w = s + -567.52. What is w rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 276783?\nAnswer: 276783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*k - 28, -4*k - 14 = 6. Let j = 287 - 282. What is the highest common factor of j and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359508.\nAnswer: 2, 3, 29959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 19*r + 552 = 0. What is the greatest common factor of r and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 8. Let b be g(8). Let o be (4\/6 - b) + 132\/18. Solve -4 - o = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/60 and -9\/325.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 118*w**2 - w + 6. Let f(b) = -2*b**2 + 1. Determine 6*f(y) - s(y).\nAnswer: -130*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986*j - 140028 = 353*j - 1034*j for j.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1643*c = -2*f - 1647*c - 26, -3*f - 4*c - 23 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 2*x**2 - 2*x**2 + (5*x - x - 2*x)*(0*x + 0*x + 2*x) - 3 + x**2 + 3 - 88 + x**2 + 10 - 24.\nAnswer: 4*x**2 - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let m be (4 - (-50)\/(-12)) + 19\/6. Let j(x) be the third derivative of 0*x - 3*x**2 + 0*x**m + 1\/20*x**5 + 0 + 0*x**4. Give j(s(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1981 is divided by 654.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k**2 - 4*k + 3. Suppose -2 = g + 2*r, 0 = -7*g + 3*g + 2*r + 12. Give i(g).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 207*o**6\/40 - 22*o**5\/5 + 4*o**2 - 13*o. Find the third derivative of q(j) wrt j.\nAnswer: 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, l: 4, w: 3, m: 1}. What is prob of picking 4 l?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 1, r: 1}. What is prob of picking 1 a and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-9 - (10 - -2)) + 3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-114)\/(-108) + -3 - 2\/156. Which is the second biggest value? (a) t (b) 0.2 (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/24)\/(2\/(-8)*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 571156 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 186 + -4?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98445820 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2251*y**3 - 2126*y**3 - 34*y**2 - 1 - 23*y**2.\nAnswer: 125*y**3 - 57*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307505 is divided by 3575.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 2120.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2229, -496, -7493, -20898, -42847?\nAnswer: -75476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 14 + 5\/4*x**4 + 0*x**3 - 5\/2*x**2 + 0*x. Factor t(a).\nAnswer: 5*a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -47. Which is the smallest value? (a) -1\/2 (b) 2 (c) 0.5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1114 + 440330?\nAnswer: 441444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 24418800.\nAnswer: 268606800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7 + (1152\/42)\/4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(45)*2 + (sqrt(405)*1)\/sqrt(9) - (5 + (sqrt(405) + 0)**2).\nAnswer: -410 - 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/180475 + -602245102\/1624275. Let v = h + 371. What is the smallest value in 0, v, -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 674 = 2*t, 0 = -5*z - 29*t + 24*t + 830. Calculate the remainder when z is divided by 48.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 5:58 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*v - 80 = 135*v. Let g = -1 - -4. Let s = g + -1. Solve s*a + 0 = -v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -81, -166, -251, -336?\n\"Answer: -85*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 42533?\nAnswer: 42538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {q: 4, e: 2, h: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15821)\/110747)\/((-5)\/(-1))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -170 and 495494 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 12, 1, 9.\nAnswer: -4, 1, 5, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 2310, 4955, 8600, 13245?\nAnswer: 18890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 133. Suppose 215 = 6*j - f. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.8857048 rounded to two dps?\nAnswer: 91.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5026 - 4986. Sort 3\/2, 1\/3, 2\/15, 4, l in descending order.\nAnswer: l, 4, 3\/2, 1\/3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Factor -t + m*t**2 - 3*t**3 - 2*t**4 + 4*t - t**4.\nAnswer: -3*t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4061350 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-9 - 3)) + (-32 - 13 - -30) - 23.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -7. Let m be (3\/2)\/(s\/32). Suppose 16*v - 406 = -86. What is the greatest common divisor of m and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29138 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 2*u**4 + 2*u**4)*(-3*u + 4*u - 3*u).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 + -1)) + 1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 5:34 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42574 - 4044476\/95. Find the common denominator of q and 13\/45.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 29 + 7 = 0. Let s(l) be the first derivative of l**3 + 9*l**2 + l - 273. What are the prime factors of s(d)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -1) + 24\/4. Suppose -3 = 2*g - j*g. Suppose -g = -5*v + l + 31, -4 = -4*l. What is the greatest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -718 + 718. Factor 9\/2*l**2 - 3\/2*l + z + 0*l**3 - 6*l**4.\nAnswer: -3*l*(l + 1)*(2*l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at most 0.0049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:27 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -237 + 236. Let w(k) = 17*k + 1. Give w(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 3*w + 4. Let c be d(-3). Suppose 0 = -c*x - x + 1650. Round x to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 1. Let d be (760\/(-25))\/((-14)\/10 - -1). Let q(y) = d*y + 4 - 70*y - 8. Determine -2*q(t) - 7*u(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127230*y**2 - 389*y + 389*y.\nAnswer: -127230*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12189502?\nAnswer: 2, 13, 37, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833) + sqrt(833))*-1 + -5 + 1.\nAnswer: -4 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/69, -5, -0.02, 1, -1\/8 in ascending order.\nAnswer: -5, -1\/8, -0.02, 1\/69, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 + 4884\/(-7). Let b = 48161\/69 + k. Let h = b + 281\/345. Is h less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -214*o**3 + 7*o**2 + 6*o + 17. Let g = 12 + -5. Let x be s(g). What is x rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 2*u**4 - 3*u**3 + (-3*u**2 + 0*u**2 + 9*u**2)*(-2 + 2*u**2 + 2).\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678130127?\nAnswer: 887, 764521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 126\/12. Suppose -2*l - 4*k = k - 22, l - d = 4*k. What is the second derivative of l*g - 2*g - 8*g + 2*g**2 wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1096*i + 1102*i = 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*w**2 - 690*w**2 - 2*w**3 + 224.\nAnswer: -2*w**3 + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 1, j: 2, i: 2, l: 6, a: 6}. What is prob of sequence iuil?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 + 523*m + 366. Let c be q(-74). Which is smaller: c or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 1500*o**2 + 187500*o - 7812500.\nAnswer: 4*(o - 125)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 5*x + 154, 2*d = 17*d - 5*x - 90 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 5, 1, -776 in increasing order.\nAnswer: -776, -9, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (510\/(-72) + 16\/(-24))\/(((-35)\/20)\/(-7)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/45 - 899\/1305. Let j = 0 + -2. Let v = j - -1. What is the second biggest value in 4, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -85060?\nAnswer: -85061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(108) + 1 + 4)**2.\nAnswer: -798 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*r - 0 + 2, 0 = -5*r. What is the units digit of -2*(c + 2 + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11701 + 11752. Solve w - 23 = -4*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1498567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 10:13 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 705*u*w**6 - 3*u*w**4 - u*w**3 + 3*u*w**2 - 17*u + 19*w**2 wrt w.\nAnswer: 84600*u*w**3 - 72*u*w - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -31009*j - 37737964. Give d(-1217).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 365724.6 millilitres in litres?\nAnswer: 365.7246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7789 + 28555. Let f = g - 1536725\/74. Let i = f - -2\/37. Sort 2, 1\/2, i, -1\/9.\nAnswer: i, -1\/9, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrkkkkk. Give prob of sequence kkrk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/((-3)\/(-246)). Let r = b + -276. Is (r\/6)\/((-1)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.094 from 6.\nAnswer: 15.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:48 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2693745 - 73842008 = -51*r + 35620030. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9326907 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3556\/9 - 395. Which is the third biggest value? (a) 1\/5 (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21126023 (base 7) to base 14.\nAnswer: -347a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0, 2\/11, 366 in descending order.\nAnswer: 366, 2\/5, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1218 divide 146912259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2. Let p be 2\/8 - (-6)\/8. Let j(t) = -t**2 - 1. Let x(a) = -8*a**2 - 6. Let b(v) = p*x(v) - 6*j(v). Determine h(b(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s + 5452 = 4*b + 24*s, 5*b + 4*s - 6816 = 0. What is the greatest common divisor of 132 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0 (c) 4\/7 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32939280 divided by 880\nAnswer: 37431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5677?\nAnswer: 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(-2*m - 19*m - m)*(-m**2 - 2*m**2 + 5*m**2) in the form z*m + b*m**3 + j*m**2 + i and give b.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 75*c + 2. Let m(w) = 223*w + 6. What is 8*d(z) - 3*m(z)?\nAnswer: -69*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 212923012 to the power of 1\/2, to the nearest integer?\nAnswer: 14592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 732316*b**2 - b - 1580713?\nAnswer: 1464632*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 51*r**2 + r. Suppose 2*c + 8 = 3*d, d - c = 218 - 214. Let f(n) be the second derivative of d + 13*n + 0*n**2 + 1\/12*n**4 + 0*n**3. Give f(q(u)).\nAnswer: 2601*u**4 + 102*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/20 + c**4\/2 + c**3\/2 - 3*c**2 - 53*c. What is the remainder when 169 is divided by d(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5))**(1\/12)\/((p\/((p*p**(-6\/7)*p)\/p))\/p)**24 assuming p is positive.\nAnswer: p**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 592 and 352669348?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121548 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 10:31 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_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 the nearest to 1? (a) -19 (b) 1166 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10592 (b) 1 (c) 33 (d) -4 (e) 2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125996*w**4 - 51366*w**2?\nAnswer: 3023904*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2 + y + 1 + 1. Let n = -4 - -22. Suppose -n = 5*s + 2. What is o(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47445862 a multiple of 871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522757711 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333694.\nAnswer: 2, 166847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 3*o + 129 - 144, -3*o = -4*z + 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = -q + 154. Is q 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) -22 (b) 16\/5 (c) -98\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in 0, 4, 2, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6275, -7130, -7985, -8840?\n\"Answer: -855*c - 5420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -111.919. Round w to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28233377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.9 or -1\/6?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -568*g**2 + 7420 + 435*g**2 + 132*g**2 - 1707*g**3 wrt g?\nAnswer: -5121*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**2)\/p)**(-2)*(p\/p**(-2\/9))\/p**(2\/9) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*a + 2 + a**2 - 30*a + 4*a**2 + 2*a**4 + 3*a**3 - 9*a**2 to the form k*a**3 + f*a**2 + v + m*a**4 + p*a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 + 1320*d + 9. Give z(-330).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54692900 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*w - 56*w - 1. Is w <= 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -0.6511 (b) -1 (c) -1\/4 (d) 1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 - 8*i - 10. Let z be h(-7). Let d be ((-4)\/(-6) + -1)*z. Let q(x) = 5*x**2 + x. What is q(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100859138 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9166116 - -456261?\nAnswer: 456260.0833884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 795 - 407. What are the prime factors of l?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14914?\nAnswer: 2, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/42 - (-2)\/7. Suppose 0 = -4*a + k + 279, -k = s*a - 5*k - 136. Suppose 2*o = -0*o + a. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 6 - -9 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-5)\/(10 + -5)). Factor 5*f - 25\/2 - w*f**2.\nAnswer: -(f - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -71*w - 392. Let n(v) = v**2 + 5*v + 6. What is the remainder when n(9) is divided by h(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - f = -13*z + 4, 1 = -f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -58218\/13?\nAnswer: -58218\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Suppose y*g = 4*x + 15, 5*g = 2*x - 7 + 32. Suppose 5*t - 2*c + c - 61 = x, -53 = -5*t + 3*c. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2378 - 2378. Let t(c) be the second derivative of -3\/4*c**4 + 0*c**3 + 0*c**2 - 7*c + j - 3\/10*c**5. What is the third derivative of t(o) wrt o?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 - -166. Factor -3\/2 - 9\/8*p + 3\/8*p**z.\nAnswer: 3*(p - 4)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136507634 is divided by 6077.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -12414302542?\nAnswer: -12414302533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d2 - -23?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/10)\/(-2*(-3)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14 - 0 - (-2 + 5). Is 11 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172569951 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*d + 3 + 6, 3*b + 3 = 2*d. Suppose -b = -3*w + 62. What is the remainder when 186 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74504 and 1544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j*j*(j**(-2)*j)\/j)\/(j**(-1)*j\/(j**(-5)*j)*j) assuming j is positive.\nAnswer: j**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.2000028. What is s rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 4. Suppose 3*q - 15 = -3*j - j, 5*j - q + 5 = 0. Let y be b(j). Put y, 0, -3 in increasing order.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9))**39\/(((o\/(o\/(o\/o**(-3))))\/o)\/(o\/(o\/((o*(o*o\/o**(-1))\/o)\/o))*o)))\/(o**(-1\/2)*o**(-13))**(13\/8) assuming o is positive.\nAnswer: o**(637\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 202246320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 14*a + 6. Let q be n(-8). Let f = 45 + q. What is the first derivative of -14 - 3*g - 4 - 2 - f*g wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a6235 - 3?\nAnswer: -1a6238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 4. Let x be o(-6). Let p = -14 - x. Let g = 9 + p. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164 - -164.4. Which is the smallest value? (a) -2\/21 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*f**3*z**2 + 30*f**3*z - 880*f*z**3 - 123*z wrt z.\nAnswer: 20*f**3 - 5280*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o. Let n(y) = y - 37. Determine v(n(q)).\nAnswer: -2*q + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2. Let w(m) be the second derivative of m**3\/2 + m. Calculate w(q(h)).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 7. Let o be z(-7). Suppose 15 = -o*n + 3*n. Suppose 0 = -2*g + 3*g + n*c - 11, 3*g + 3*c - 33 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/9 - 20*y**4\/9 + 22*y**3\/9 = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(234)\/(sqrt(12)\/sqrt(2)))\/(sqrt(3) + sqrt(300)*-2 + sqrt(300) + sqrt(300) + (sqrt(192) - (sqrt(192) + sqrt(192)*-2 - sqrt(192)) - sqrt(3))).\nAnswer: -sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349060 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0.5. Let t(z) = 3*z**3 - 5*z**2 + z + 6. Let s be t(-4). Let f = -1085\/4 - s. What is the biggest value in f, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36 - -1) + (-9 - -23) + -27\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 equal to -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*y + 36*y**3 + 9*y + 0*y - 14*y + 5*y + 6*y**2 to the form l*y**2 + n*y**3 + j + x*y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 58. Suppose -93 = -t*o + 42. What is the greatest common divisor of o and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13244347 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -580?\nAnswer: 4640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*y = 4*n - 11, -5 = 5*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11021210 (base 3) to base 14.\nAnswer: -11d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**2 + 0*q**4 + 0*q + 67 + 0*q**5 + 5\/3*q**3 + 49\/6*q**6. What is the third derivative of p(s) wrt s?\nAnswer: 2940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3489 divided by -1163.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85707 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 3*x - 2. Suppose -2*n + v - 5*v = 2, -3*v - 3 = n. Is s(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 140 = -b, -3*z + 168 = -0*z + 3*b. Suppose -2*w + 0 = -4*i + 2, 5*w = -3*i + 47. Calculate the greatest common divisor of z and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 29*g + 4. Give n(16).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3258 and -89\/4?\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14955, -29957, -44959, -59961, -74963, -89965?\nAnswer: -104967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 28*s**2 + 53*s - 5. Determine u(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 103 - 83 = 0. Let s = 0.04 + -33.04. Let x = -36 - s. Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27945924 divided by -1.\nAnswer: 27945924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4412356 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i + 3*i)*(0*i - 3*i - i)*(-67 + 72 - 385).\nAnswer: 1520*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/31 >= 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsoslopssp. What is prob of sequence ps?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a8a9 - 199?\nAnswer: a710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-3*sqrt(78)*1 - sqrt(78))\/((-2*sqrt(150) - sqrt(150) - sqrt(150)) + sqrt(6)) + 5))**2.\nAnswer: 1440*sqrt(13)\/19 + 332388\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-15\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Solve 2*f = -5*s - 12, -r*f + 2 = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5583, -2\/17, -1 in decreasing order.\nAnswer: 4, 2\/5583, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1043, 2256, 3569, 4982?\nAnswer: 6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 193346.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9 = -0*y - 2*y, 0 = -3*y - 5*i - 15. Which is smaller: -13 or y?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y = 81605 - 79662 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 854 = 4*p, 10 = -0*t + 2*t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20684249 to the nearest integer?\nAnswer: 4548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 22. Does 10 divide p\/(-3 - (-115)\/35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {p: 14, s: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 153*a**3 - 2592*a**2 + 14580*a.\nAnswer: -3*a*(a - 18)**2*(a - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 603*h**2 - 12*h + 16. What is the units digit of t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 15298160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 87667109 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5739 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -4b?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 28*c**2 - 27*c + 16. What is the remainder when 223 is divided by a(27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) - 220\/(-25). Suppose 0 = -w + 24 - h. Calculate the remainder when 26 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3262 (base 11) to base 10.\nAnswer: 4303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 - (-1 + -5 - (5 - 5)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1163287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 78\/10 - 9\/(-45). Suppose -3*i = -10 - p. Let w(j) = -8*j**2 + 6*j + 5. Let x(u) = -u**2 + u + 1. Determine i*x(g) - w(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 8 + -16 - 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-18)*16\/(-60)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6192*s**3 + 3602*s**2 + 11*s + 11. Let y(l) = -1548*l**3 - 901*l**2 - 3*l - 3. Let q(x) = 3*m(x) + 11*y(x). Find the third derivative of q(u) wrt u.\nAnswer: 9288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 3*l - 24. Let u be d(6). Is -0.25 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u + u - u - 3 + 2*u + 3 + (-5 + 1 + 1)*(-u - 2*u + 4*u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -66, -103, -142?\n\"Answer: -u**2 - 32*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 + 6.6. Let a = -86\/39 + 20\/13. What is the third biggest value in a, 5, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -170.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.262 - 0.09. Let v = -20.228 - d. Let f = v - -20. Sort 0.1, -0.1, f.\nAnswer: f, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4632, 3, -3, 2, -1, 0 in descending order.\nAnswer: 3, 2, 0, -1, -3, -4632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 246527.\nAnswer: 2218743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*y = -619, y + 332 = w - 4*y. Suppose -w = -5*q + 458. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962226102?\nAnswer: 2, 3, 160371017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*v + a - 34, -v + a = -23. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -134.6.\nAnswer: 53.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iixscue. What is prob of picking 1 c and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 2*h - 3*h - 5. Let w(c) = c + 1. Give r(f) + 3*w(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.3, 146, 3, 0.02, -6?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2714 - -2741. Let s = 26 + -29. Which is the fourth smallest value? (a) g (b) 0.2 (c) 2\/3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)\/((r\/((r\/r**1)\/r))\/r) assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*k**5 - 174*k**4 + 868*k wrt k?\nAnswer: 160*k**3 - 2088*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 563652 divided by -6?\nAnswer: -93942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Let p(o) be the second derivative of -1\/30*o**6 + 1\/20*o**z + 2*o + 0 - 1\/36*o**4 + 0*o**3 + 1\/126*o**7 + 0*o**2. Factor p(k).\nAnswer: k**2*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59703 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*c - 26 + 8, 6*p - 7*c = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-39)\/78*6\/(-15) - 73\/110?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-11)\/(-99)*-9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - -1.94. Let l = -0.011 - k. What is l rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -20. Let r = y - 28. Let j = -7 - r. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0831 - -22.6.\nAnswer: 22.5169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*1*4)\/sqrt(6).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 7*z**6\/6 - z**5\/60 - z**3\/3 - 164*z**2. List the prime factors of f(2).\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -3517582730.5?\nAnswer: -3517582730.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**3))**(-25)*(((k\/k**(3\/5)*k)\/k)\/k)**(22\/9) assuming k is positive.\nAnswer: k**(-1147\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + a**2)*(-25 + 2 + 11) as c*a**2 + x + l*a and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 87*z**4\/4 + 13*z**3 - 41. Find the third derivative of l(i) wrt i.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 6*s = 111. Suppose 0 = -8*u - s + 1069. List the prime factors of u.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.103*1.501\nAnswer: 0.154603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 6*r + 8. Let o be q(4). Suppose l + o = -1. What are the prime factors of (l + -17)*(-5)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)*h**(-6))**26*((h*h**5\/h*h)\/h*h)\/(h*h*h*h*h*h**1)*(h**1*h)**14 assuming h is positive.\nAnswer: h**(-358\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0 - 12 = 0. Suppose x*f = 68 - 2. Let l(d) = 2*d**2 + 2*d - 10. What is the lowest common multiple of l(2) and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*t = 270*t. Suppose t = -5*q - 5*a + 205, 2*q = q + 3*a + 33. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000715430779 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 3. Let t(v) = v + 1. Let g be t(8). Let x be q(g). Let h(w) = -w + 6. Calculate the remainder when 53 is divided by h(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/55 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 30 = 8*z. Suppose 2*k + k - z = 0. Let v = 8 + -6. Solve 0 = v*n - 0 - k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004256796 rounded to four decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -874452.1408 rounded to the nearest 10?\nAnswer: -874450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 7016*n - 3076516.\nAnswer: -4*(n - 877)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 64374, -2866.\nAnswer: -2866, 1, 64374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*r**5 - 9*r**4 + 9*r**4 - 2*r**5 + 4*r**5 - 4*r**5 + (0*r + 0*r + r**3)*(0 + 0 + r**2) + r**5 - 4*r**5 + 2*r**5.\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g**(1\/19)*g)*g)*g**12 assuming g is positive.\nAnswer: g**(229\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k - 22. Let u be c(-5). Solve u*y = 8*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50d (base 16) to base 7.\nAnswer: -3525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*k - 3 + 9 = 0, 0 = 3*m + 4*k - 8. Put -2, m, 3 in descending order.\nAnswer: m, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9480 + 170747\/18. Find the common denominator of -31\/36 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/30 + (-3386)\/(-5). Suppose 0 = -10*x + 4*x + h. What are the prime factors of x?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*96\/768*11\/((-88)\/(-288))?\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 248 = -3*u. Let r = u - 39. Is r 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 {y: 4, v: 2, t: 1, e: 3, c: 1}. Give prob of picking 1 e, 1 t, and 1 v.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22*6\/8 + 30\/10 and (-102)\/(-320) + 4\/10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (28 + -16 + -2 + -31)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13679830?\nAnswer: 2, 5, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013771788 to 6 decimal places.\nAnswer: 0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73, -201, -385, -625, -921, -1273, -1681?\n\"Answer: -28*o**2 - 44*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6404*x + 6289 = -710959 for x.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 272*i - 120. Let z(h) = -545*h + 225. Let j(a) = -15*n(a) - 8*z(a). Let c(p) = 12*p. What is j(c(f))?\nAnswer: 3360*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302254 less than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 17 = -5*m, -x = 3*m - 13. Let w be (-12)\/(-54) - x\/(-9). Suppose -5*g - 4*v = -154, w*g = 2*g - 4*v - 84. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1108436370 divided by 6\nAnswer: 184739395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -42600 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**7\/42 - 5*j**4\/12 + 6*j. Find the third derivative of g(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58534, 0.1, -4\/9, -3, 5, -4.\nAnswer: -58534, -4, -3, -4\/9, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufbbddppppb. What is prob of sequence bdbb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 841063.6 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 366059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13523 + 13522. Which is the second smallest value? (a) 0.1 (b) t (c) -1747\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, t: 7}. Give prob of sequence tt.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 - m + 2. Let x(p) = 2600*p**3 - 4*p**2 - 4*p + 8. Give -4*j(q) + x(q).\nAnswer: 2596*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/3)\/((-2)\/(-72)). Let d be 6\/24*j\/10. Let w = 0.2 + -0.3. What is the nearest to w in d, -4, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4 + 46*h**3 + 87*h**2 - 46*h - 88 = 0.\nAnswer: -44, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1867.4 and -0.1864.\nAnswer: 348.08336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 4*p**2 - p. Let j be (-5)\/20 + 45\/(-12). Let c be y(j). Suppose 7*b - 1 = 48. Solve b*u - c*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 3. Let y be r(0). Let l be y - (2 - 106\/22). Which is the third smallest value? (a) l (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 6*b + 20, -5*b + 3*k - 443809 = -443796 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 865944.\nAnswer: 6061608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 31, 40?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**5\/2 - 769*n**4\/2 + 72943*n**3 + 379457*n**2 - 1952415*n\/2 + 1048383\/2 = 0?\nAnswer: -7, 1, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1508 and 1140908.\nAnswer: 1142416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 32*q + 10. Let d(r) = -r - 1. Let s(u) = -c(u) - 12*d(u). Let b be s(2). Let g = -23 - b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 992 and 744?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 151 and 1775498.\nAnswer: 1775649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -15 + 7 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:52 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:37 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4035 + 2194. Let r = g - -2745. What are the prime factors of r?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 33*h - 1. Let z be q(3). Suppose -z = -5*t + 662. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -12. Let m be l + 37 + -1 + 1. What is the highest common divisor of 48 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 4*j - 3. Let p be s(-5). Let t(n) = n**2 - 5*n + 1. Let h be t(p). Let v = 9 + h. Solve -2*m - 30 = 5*r - 9, 2*m - 24 = v*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 359280568 - 359280599.0000754. Let t = 31 + z. What is t rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 6:30 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (61 - 33) - -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*r - 2*z - z, -3*r + 2*z = -20. Suppose j = -14 - r. What is j rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9603 and 2714836.\nAnswer: 268768764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**5\/l))\/(l*(l**13*l)\/l))**(2\/99) assuming l is positive.\nAnswer: l**(-32\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443751 is divided by 330.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -17 - (12 + -10 + 1)) + (0 - 101).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 17) + -6 - (-102 + 84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35170183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wcwawrwwwahaa.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -200*y - 1. Let k(o) be the first derivative of -4*o**3\/3 - 1741. Give k(s(h)).\nAnswer: -160000*h**2 - 1600*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 39, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let t = 248 - 260.1. Let y = t + 12. Which is the nearest to y? (a) -1\/3 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10419552, -10419553, -10419554, -10419555?\n\"Answer: -r - 10419551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6115 equal to -24465\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s - 16. Let p(b) = -22*b + 6 - 17*b + 40*b + 0. Let d(f) = -3*h(f) - 8*p(f). Let o(u) = 12*u - 1 + 1. Determine d(o(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1346708*s**2 - 507404*s wrt s?\nAnswer: -2693416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 525023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 0*q**2 + 4 + q**2 - 7*q + 0*q. Let w be d(3). Which is the second smallest value? (a) 2\/5 (b) 2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562769688 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 3*q)*(0*q**2 + 2*q**4 + 0*q**2) - 2*q + 267*q**2 + 4*q**5 - 196*q**2 - 5*q**5.\nAnswer: q**5 + 71*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 9:57 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 6:32 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 193144, 189278, 185412, 181546?\n\"Answer: -3866*d + 197010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 23*y - 1081. Calculate the remainder when q(48) is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:29 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/5713 + -508461\/11426. Find the common denominator of 95\/12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 1. Let o(j) = -8*j + 5. Let g(i) = -3*o(i) + 15*q(i). Let r(h) = -h**2 - 3*h + 6. Let l(t) = -t + 2. Let k(u) = -3*l(u) + r(u). Give k(g(v)).\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 173, 175, 177, 179?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 12 + 2451\/(-215)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i + 313. What is the remainder when 633 is divided by p(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.05, 5, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.86 + 0.14. Is 1\/4 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 - -96. Let q(m) = -20*m - 21. Let g be q(-2). Suppose 3*i + n*y = -y + 22, 0 = -i + y + g. Solve -i = 3*u - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 523514515 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170162763433.40043 + -170163524464. Let a = z - -761038. Let h = 7.4 - a. Round h to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.696 (b) 0.1 (c) -33 (d) 0.09 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - a**2 - 23 + 2*a + 13 to the form i*a + x + o*a**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*w - 1666*w + 8*w**2 + 560*w + 550*w.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 11743*u**4 + u**5 + 11743*u**4 - u**5 + 3*u**5 - 4*u**5 + (-u + 0*u - u)*(u**4 + u**4 - u**4).\nAnswer: -3*u**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2 - 3 + q**2 - 2*q + 2*q**2. Let r be f(-1). Suppose k = -r*k + 25. Solve -x + 12 = -k*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 980\/(-630)*5\/10?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j = -793 + 238 - 1493 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399494 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 2*g - 14. Suppose -2*q + 9 = -3. Let d be z(q). Let w(h) = -h + 13. Let j be w(d). Solve -4*l - p = 3 - 2, -j = -l + 3*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + 0*n)*(-4486 + 1172 + 1302 - 38).\nAnswer: 6150*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2488 by 8.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 + 3. Let h(l) = -l**3 - l**2 - l + 1. Let t(d) = -2*h(d) + u(d). Suppose -2*y = 3*y + 30. Let n = -4 - y. What is t(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v = 35*v + 314. Suppose -v = -4*s - 5. Let n = s - 27. What is the highest common divisor of n and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 111?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25685, -50373, -75061, -99749, -124437, -149125?\n\"Answer: -24688*f - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 5:51 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*l - 4568 + 1088. Calculate the remainder when 104 is divided by l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {j: 14, k: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 7. Let f be g(5). Let w(c) = -c**3 + 4*c**2 + 3. Let s be w(4). Put f, -5, s in descending order.\nAnswer: s, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 22866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (260\/(-9) + 29)*27\/2. What is the nearest to -2 in 4, x, 50, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 2*j + 8. Let n be a(-6). Let q = n + 5. Let o = q - -15. What is the greatest common factor of o and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + 4.87. Let n be 21\/(-35)*((-40)\/15 - -3). Do n and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/16 in -16858, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 1. Let a(x) = -7*x + 14. Let u(k) = -5*a(k) + 30*j(k). Let z be u(9). Solve 2*f - z = 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*w. Suppose w = -4*x + 66 - 6. Solve 0 = 5*j - 0*j - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -3*i**5\/10 + 3*i**4\/4 - 3*i**2\/2 + 3*i\/2 + 2. Determine s so that t(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69 (b) 0 (c) 18 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365125.\nAnswer: 5, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c1ea4 (base 15) to base 9.\nAnswer: 6775141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (515\/(-4326)*-273)\/(5\/(-10))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 35180*d**2 - 905*d. Let w(i) = -4*i. Give w(r(y)).\nAnswer: -140720*y**2 + 3620*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 352800007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35708, 71419, 107130, 142841?\n\"Answer: 35711*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6211? (a) -1 (b) 2 (c) 2\/7 (d) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1693.37 rounded to the nearest 10?\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, q: 6, x: 2, d: 2, j: 3, e: 1}. What is prob of picking 1 e and 1 x?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14650676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 119. Suppose -66 - h = -16*l. What is the second derivative of 9*w**2 + 24*w + l*w - 9*w**2 + 42*w**3 wrt w?\nAnswer: 252*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.588 + -0.012. Let x = 14 + o. Let s = x + 4. What is the smallest value in -3, -1\/3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3793.0201, -4\/9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb3 (base 14) to base 8.\nAnswer: -11701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = -n - l + 467, 0 = 3*n + l - 2760. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 11*s - 323 + 24 = 0, -2*g - 163 = s. Suppose 0*o + 258 = 3*o. Let r = g + o. Is r smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106.98 + 107. Let f = i - 0.42. What is the second smallest value in -2\/25, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/7130 and -6\/775.\nAnswer: 35650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -0.16 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-8) - (-18)\/24. Calculate the common denominator of 33\/4 and ((-10)\/(-36))\/1 - i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1199354*w**3 - 580356.\nAnswer: -3598062*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1916*w + 1810*w + 1916*w - 9466*w + 1912*w + 1914*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*x + 3*x = 17, -16 = -4*s - x. Let m(o) = -3*o**3 - 7*o + o**2 - 6*o**2 + 3*o**2. Let r be m(s). What is r rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2. Let d(x) = x - 310. Determine d(t(i)).\nAnswer: 2*i**2 - 310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 627*v - 1888. Determine m(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 24*b**2 + 92*b - 27. Determine i(19).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2544\/154 + (-3)\/7. Let c = 16 - g. What is the third smallest value in 0.1, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 9:50 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 - 335*x**4 - 690*x**3 - 10*x**2 + 685*x + 345.\nAnswer: 5*(x - 69)*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -46448\nAnswer: -1\/23224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 + 522. Does 35 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 3, -20 in increasing order.\nAnswer: -20, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 24.5958 grams?\nAnswer: 24595800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 10*a + 1364. Let m(r) = -r - 2. Let d be m(-5). Suppose -2*z + d*s = -77, -3*z - 6*s + 4*s = -83. What is the greatest common factor of z and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((10\/8)\/(1\/4))\/1. Suppose -4*d = -y - 19, w*y - 10*y - d = -10. Solve -4*t - 19 = y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1634 - 3?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143957 is divided by 76.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1828\/3 - -609. Which is the nearest to 11? (a) 2\/13 (b) 0.6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -466*s + 69899. What is a(150)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvcyzcy. What is prob of sequence yzc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*n = -57*n + 64104. Is (-33)\/(-110)*5*n\/(-3) 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 zlllllzllllzllzz. Give prob of sequence zzz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1692 and 846?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 672401 and -0.1?\nAnswer: 672401.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*l**3 + 0)*(-128*l + 151*l + 169*l) + (0 + 0 + 2*l**2)*(2*l**2 + l**2 - 2*l**2).\nAnswer: 386*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16792.\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 21*m. Let b(q) = -10*q - 51*q - 17*q + 68*q. Determine -6*a(u) - 10*b(u).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*g + 46 = 54*g - 710 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66209015 to the power of 1\/2, to the nearest integer?\nAnswer: 8137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -86751*d + 173462. What is o(2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6383?\nAnswer: 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182 * -2.7.\nAnswer: 491.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, u: 2, r: 5, h: 2, o: 1}. Give prob of picking 1 r and 1 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -628 and -1777.\nAnswer: -2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -20*q**5 - 2*q**4 + 32*q + 2. Let x(y) = 41*y**5 + 5*y**4 - 64*y - 5. Let h(t) = 5*s(t) + 2*x(t). Find the second derivative of h(n) wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -434, -618, -774, -896, -978, -1014, -998?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2548)\/1547*34*2\/2\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -273.01331 rounded to zero dps?\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 849. Let j = -776 - f. Sort j, -5, 3, 0.\nAnswer: j, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 3*d + 1128. Does 94 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - -2) + 2*1. Let s = j + -9. Let v be 0\/((-1)\/s - 2). Solve v*i - 2*i + 2 = -2*n, 6 = i + 4*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*j**4*k + 3*b*j**3 + 3*b*j**2*k + 116*b*j**2 - 2*b*k + 904*j**4 wrt j?\nAnswer: -24*b*j*k + 18*b + 21696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -125 + 82 + 17 + 42\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76286761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962291053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:37 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = -4. Let f(w) = -318*w + 1. Let z be f(o). Suppose -3*i = -h - z, i - 8 = 3*h + 85. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 + (-52 - -2) + 69\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.074 - -0.0847. Round i to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Suppose -3*y = -2*y - k. Solve -3*c - y = -p - 0*c, 3*p = 3*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6251447 nanograms in micrograms?\nAnswer: 0.0006251447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 73*w + 36*w + 15225. Let a = 824 + -494. Let d = w + a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r = 8. Let y(g) be the third derivative of 0*g**3 + 1\/30*g**5 + 4*g**r + 1\/336*g**8 + 0*g**7 + 0*g + 0*g**4 + 0 - 1\/40*g**6. Factor y(d).\nAnswer: d**2*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -60*z. Let g(u) = u + 207. Give g(j(f)).\nAnswer: -60*f + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:50 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 624, 930, 1226, 1506, 1764?\nAnswer: 1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9745*k - 11923 with respect to k.\nAnswer: 9745","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**3\/2 + h**2\/2 - 2*h + 3. Let w(p) be the first derivative of c(p). Let a(k) = 2*k + 1. Determine -4*a(o) + 3*w(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1957590*d + 1957681*d + 244 - 5635 = 4619 for d.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.93 - 0.07. Let x = z + 4. Let k = -21.9 + 22. Which is the second smallest value? (a) -1\/4 (b) k (c) -3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 228 = -8*h. Let s = h - 18. Calculate the greatest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178359760.\nAnswer: 2, 5, 2229497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w - 8*w + 1541 = -5*w. Solve 2 = -2*k + 69*c - w*c, -3*c + 11 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 - -4)) + (23 - 14 - 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -8*d**7\/21 - 11*d**3\/2 + 7*d + 11. Let l(h) be the first derivative of y(h). Find the second derivative of l(q) wrt q.\nAnswer: -320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -6) + (1 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63285*j**5 - 5329*j**2 + j wrt j?\nAnswer: 3797100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**3 - k - 1. Let g = -2 + 3. Suppose 0 = 4*t + g + 3. What is l(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1398*y**4 + y**2 - 51 wrt y?\nAnswer: -33552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*d + 76031649*c**3 + 1679*c**2*d + c*d + c - 120*d wrt c.\nAnswer: 12*d + 456189894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 + -3 - (-8 + 8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-729)\/6*(-120)\/(-7020)*-39.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -790 divided by 170\nAnswer: -79\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 6688*d.\nAnswer: -6688*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -60*d**3 + 22*d - 290. Let y(v) = -v**3 - 1. Let t(o) = -k(o) + 14*y(o). What is the first derivative of t(f) wrt f?\nAnswer: 138*f**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21 - 0.23. What is the third smallest value in 2\/9, q, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1414421.\nAnswer: 113, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52697\/8 + -6576. Calculate the common denominator of i and 23\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 22. Let t be 4*((-56)\/(-32) - 1). Suppose -t*m = 27*m - 270. What is p(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 14*t + 17. Calculate the remainder when a(-9) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 1\/3, -3, 214, -1.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y + 3*l - 9946, 0 = 4*y - l - 7967. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 13*h**2 + 19*h - 29. Let v be u(14). Suppose -8*d = -v*d + 66. Which is the second biggest value? (a) 3 (b) d (c) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 5, -0.4, -0.185?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:12 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 117 = -52*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*b + 1 = 694 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/64239 and -31\/345?\nAnswer: 321195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - 8 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4\/4 + 8*w**3\/3 + 7*w**2\/2 + 2*w + 8. Let q be p(-7). Solve -6 = q*o - 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 2*c + 26*c + 27.\nAnswer: 27*c + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 139, 344, 631, 1000, 1451?\nAnswer: 1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/736*46)\/(4\/10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from eejjjeeeyyjeyyj?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + 0.1. Let n = 0.4 - l. Let m = 0 + n. Which is the closest to 2? (a) -4\/5 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -576*t + 2. Let m(k) = 40911*k - 143. What is 2*m(q) + 143*n(q)?\nAnswer: -546*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1694) + 3*sqrt(1694) - sqrt(1694) - sqrt(1694)) + sqrt(1694))*-4)\/(sqrt(56)\/sqrt(512) + sqrt(7) - (sqrt(175) - -2*sqrt(175))).\nAnswer: -352*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 divided by -117?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 735.3523 micrometers?\nAnswer: 0.7353523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11787 to the nearest 100.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(192) + (sqrt(192) - -1*sqrt(192)) - sqrt(192)))*6)**2.\nAnswer: 5760*sqrt(3) + 28548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100110100111 (base 2) to base 13\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1487.818 kilograms?\nAnswer: 1487818000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -928*d**3 - 4*d**2 - 8*d - 161. Let s(m) = 929*m**3 + 5*m**2 + 9*m + 163. Let p(a) = 5*o(a) + 4*s(a). What is the second derivative of p(t) wrt t?\nAnswer: -5544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 at most as big as -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - 2*o - o**2 + 2*o**2 - 10 + (0 + 0 - 1)*(240 + 20*o**2 - 240) to the form l + v*o**2 + m*o and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.01 + -0.01. Let c = 17\/231 - -7\/33. What is the third biggest value in j, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1))**(-1\/14)\/(v\/v**(-6)*v*v**(-3\/10)*v) assuming v is positive.\nAnswer: v**(-87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 24. Let r be n(14). Solve -11 = r*m + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1393, -1394, -1395?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6. Let a(t) = -29*t + 14. Let g(y) = -19*y + 9. Let z(b) = -5*a(b) + 8*g(b). Give z(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x - 60 = -5*s, 5*s - x - 40 = 0. Let t be 5\/(-20) - 681\/(-4). Suppose -2*o + s*o - t = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13332 (base 5) to base 7.\nAnswer: -3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zprvhzvvvhru. Give prob of picking 1 v and 1 h.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 5. Let q(i) = -i**3 - 20*i**2 + 2*i + 42. Let d be q(-20). Let c(n) = 0 - d + 7 - 4. Calculate 3*c(z) + h(z).\nAnswer: -5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.2, -109\/6, 2 in ascending order.\nAnswer: -109\/6, 0.2, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -129, -104, -79, -54?\n\"Answer: 25*s - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101682 divided by 34?\nAnswer: -50841\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.3. Let j = 2.4 - 1.9. What is the nearest to -1 in k, j, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 76 = -58 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 + 2*p**4 + 29*p**3 + 46*p**2 - 20*p - 56.\nAnswer: -(p - 7)*(p - 1)*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28646 (base 9) to base 5\nAnswer: 1110412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, -4, 1359.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(320))**2.\nAnswer: -2560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7a (base 14) to base 11\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9982281 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1328 - 328 - 330 + 8107918*u - 8107920*u - 335 - 335.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.0534 - -0.0566. Let f = d + -0.11. Which is the second biggest value? (a) 2\/11 (b) -3\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, 0.3, 3\/3050?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -12\/97, -1\/3, -0.5, -4, 2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(sqrt(17) + (sqrt(68) + (sqrt(68) - (sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) - 1*sqrt(68)))))))\/sqrt(4))**2*1 + -2.\nAnswer: 2038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -2, -1 in increasing order.\nAnswer: -15, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 355422528393?\nAnswer: 355422528393.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/72 - ((-16)\/9 - -2). Let g(p) = -2*p - 2. Let l be g(-3). Sort -4, a, l in decreasing order.\nAnswer: l, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m + 7*m**2 - 56*m - 6*m**2.\nAnswer: m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9149 - -10681. Calculate the remainder when l is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 75*l**2 + 2*l - 87*l**2 as u*l**2 + i + g*l and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11285?\nAnswer: 5, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1004408, 1004416, 1004426, 1004438, 1004452?\n\"Answer: s**2 + 5*s + 1004402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/225 - 4\/10. Let q = -0.02 + -1.98. Sort 1, q, k in decreasing order.\nAnswer: 1, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/24 + q**3\/6 + 2*q**2. Let w be x(0). Let p = w + 2. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/20 + 5\/(120\/42). Suppose 5*y = 50*k - 46*k - 64, 5*k + a*y = 113. Calculate the remainder when 96 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j - 7. Let z(c) = 2*c. Let x(s) = -3*s. Determine j*x(t) + 4*z(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10776042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1051 + 1050. Suppose -3*v = -18 + 6. Suppose 6 = -v*n - d, d - 6 = 2*n + 3*d. Is n at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/15)\/(16\/(-200)*-15)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4498 + -98999\/22. What is the common denominator of -59\/1080 and k?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/10, 1\/8, 1\/4, -245?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 754855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 + 6*y**2 - 3*y - 39. What is u(-7)?\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from xouxsoxsgguuogogcuos?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 293299.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3029315.\nAnswer: -1\/3029315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 12:23 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/32 - 93\/2464. Let r = 563\/39270 + z. Let y = 269\/1785 - r. Which is smaller: y or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 2. Let q be o(2). Suppose 4*y + 83 - 443 = 0. Suppose 0*c + 2*c = -3*m + y, -q*m + 79 = -5*c. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)\/((p*(((p**(-2\/13)*p)\/p)\/p)\/p)\/p))\/(p*p**1*p*p**(1\/6))*(p**(1\/3)*p)**(-26)\/(p**(2\/13)\/(p*p**5)) assuming p is positive.\nAnswer: p**(-181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - 55. Let m = 61.26 - t. Is m at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5303 - -39\nAnswer: -5264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 30. Let b be ((-3)\/m - 1)*-6. Determine n so that -1\/4 - 12*n**2 - 16*n**3 - b*n = 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 282*o\/11 + 3780\/11.\nAnswer: 2*(o - 126)*(o - 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 51408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(605) + ((sqrt(605) + -2*sqrt(605))*-6 - sqrt(605) - sqrt(605)) + sqrt(605) + sqrt(605) + 5 - (-2*1*sqrt(605)*-6 + 1))*-2)**2.\nAnswer: -3520*sqrt(5) + 60756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 12. Suppose 3*b - c = b. Solve -4*k - 7 = -m - 2, 10 = 3*k + b*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (-137120)\/3740 - ((-17)\/11 + 1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3 + 16\/6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (-141)\/(-3) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 9:45 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 12. Let o be t(14). Let k = o + 48. Let h = k - -24. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99319\/60 - -23764\/15. Let p = k + -3242. Calculate the common denominator of (-2)\/(-12) + (-38)\/10 + 9 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/65)\/((-18)\/(-12)). Let s = -5 - -12. Let g be (-3)\/s - (-6)\/14. Which is greater: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, x: 9}. Give prob of sequence xax.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/16 + 34\/8. Suppose 3*f - f - 4*b - 14 = 0, v*b - 93 = -4*f. Solve w - 3*h - 1 = -3, f = -4*w + 3*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {a: 1, c: 1, i: 2, x: 1, p: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10703983 to the nearest integer?\nAnswer: 3272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - j + 4 = 15, -25 = -2*u - j. Let a be (-10)\/4*u\/(-10). Find the third derivative of -10*d**2 - d**a - d**3 + 11*d**2 wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Let p(x) = 13*x + 56. Let w be p(-4). Solve d*g = w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12311 (base 4) to base 2.\nAnswer: 110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 7, -2, -3, 184, 4, -4 in decreasing order.\nAnswer: 184, 36, 7, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6*y - 30 = -3*y, 3*t - 4*y = 30. Let w(f) = f**3 - 9*f**2 - 14*f - 1. Let r be w(11). Let s = r + t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -3\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**2 - 3*f**2 - f**2 + (-6*f**2 + 11*f**2 + 19*f**2)*(-15 + 8 + 17).\nAnswer: 244*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2219747759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16396, -32803, -49210, -65617?\nAnswer: -82024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7449 is divided by 1860.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, v: 3}. Give prob of sequence ddvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-12)*3\/2. Suppose 5*d = 2*f + 358, -3*d = 6*f - 7*f - 214. Suppose -5*s = a*x - d - 10, -3*x = -3*s - 87. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(77))\/sqrt(11) + -5.\nAnswer: -10 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/24 and 139\/7068?\nAnswer: 14136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-42 + (-140)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1244, 2501, 3770, 5057, 6368?\n\"Answer: b**3 + 1250*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2. Let g(h) = -38413598*h**2. Give n(g(s)).\nAnswer: -2951209022611208*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**4\/6 + 2*v**3 - 2025*v**2. What is p(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r + 2. Let i = 0 - r. Solve i*k = 5*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 3. Let z be q(10). Suppose -2*v + 19 = 3*y, 5*y + 2 = z. What is the highest common factor of 40 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - x, 5*p - 23 + 2 = -4*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = 5*z, 10*z - 14*z = 4*r. Put 8, r, -2 in descending order.\nAnswer: 8, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**5 + 22*d**4 - 16*d**3 - 27*d**2 + 7. Let p(j) = -j**5 + 7*j**4 - 5*j**3 - 9*j**2 + 2. Let q(x) = -14*p(x) + 4*z(x). Factor q(n).\nAnswer: 2*n**2*(n - 3)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19709, -78659, -176889, -314399, -491189?\nAnswer: -707259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 57, -3, -135, -357, -687?\n\"Answer: -3*m**3 - 18*m**2 + 15*m + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1 (c) 0.3 (d) 0.21714 (e) 11 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.8 or -289173?\nAnswer: -289173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -158, -454, -1004, -1886, -3178, -4958?\nAnswer: -7304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 488, 1641, 3564, 6257, 9720, 13953, 18956?\n\"Answer: 385*s**2 - 2*s + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.4, 0.2, -1, -5, -0.0925?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(3\/(-24) - (-858)\/208). Suppose 5*i - 34 - 6 = 0. Solve 0 = -2*d - s + i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 114.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67921169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449550.\nAnswer: 2, 5, 48991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153446850 divided by 393.\nAnswer: 390450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + 4*k, 0 = -2*p + 5*k + 5 + 11. What is the lowest common multiple of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.715616 and -17.\nAnswer: -17.715616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ba6dd (base 14) in base 5?\nAnswer: -1420201311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**3 - w**2 + 406*w. Let i(a) = 2*a**2. Give i(m(k)).\nAnswer: 72*k**2 - 48*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 18 = -16*g. Let o be g\/(-15) + 2532\/20 + 1. Let n = 15 + o. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let b be (-3)\/(15\/2) - 6\/10. Let c(i) = -3*i + 1. Let d(z) = b*c(z) - o(z). Let h(a) = -11*a**2 - 3*a. Determine d(h(r)).\nAnswer: -22*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*n**2 - 107*n**2 - 1152*n**2 - 285*n**2.\nAnswer: -1600*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o + 32. Suppose -4*b = 5*s - o, 2*b + 13 = 2*s - 3*b. Solve 4*d - s = 8*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 3*b - 9. Let x(a) = -2*a**2 - 6*a + 19. Let p(u) = 9*k(u) + 4*x(u). Let n be (-2 - -42)*(-12)\/(-16). Suppose -45 = 15*i + n. Calculate p(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -182*f + 10904. What is c(62)?\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**25\/h**26)\/(h**27*(h\/(h\/h**4*h))\/h) assuming h is positive.\nAnswer: h**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 + 27*b - 2. Let q(o) = o**2 + 2. Calculate -3*k(v) - 3*q(v).\nAnswer: 21*v**2 - 81*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 25\/7, -2\/7, 1, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -9. Let i = 607 + -616. Is g less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1668 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 28580 - 18*z**2 - 9*z**3 + 9*z**3 - 28578 + 4*z + z to the form n + v*z**2 + k*z**4 + a*z + f*z**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -18*t**3 + 2*t**2 + 13*t - 2. Let k(m) = m**2 + m - 1. Let u(j) = 2*k(j) - p(j). What is the second derivative of u(n) wrt n?\nAnswer: 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 453.3 - 452.8. What is the nearest to -4 in i, 1\/4, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, l: 5, a: 2, k: 7, x: 1, n: 2}. What is prob of sequence lnkl?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 9573*n - 114481. Calculate u(-12).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -181\/5, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 8*c + 2. Let f be k(-6). Suppose -3*n + f = -n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64 and 0.007.\nAnswer: 0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 10*t + 5. Suppose -4*r + 3*a - 30 = -r, 4*a + 8 = -4*r. Let d(h) = h + 1. Give r*d(b) + c(b).\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in 2\/29, 2, 4, 4\/3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1699 + 1716 - 565*c + 573*c.\nAnswer: 8*c + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -57 times 0.3\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w**2 + 4*w - 1. What is o(3)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56568*d**2 + 425*d - 25 wrt d.\nAnswer: 113136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6595 (base 11) to base 3\nAnswer: -102221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 61*x**2 - 435*x - 26. Give f(19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3582134 divided by 34778?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (684\/24)\/(1\/2). What is the highest common factor of 38 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24378 = 101*m - 7171 - 4104. Is 360 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.98747089248 plus -3?\nAnswer: -0.01252910752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**5 + 469*q**3 + 2*q**2 - 184?\nAnswer: 60*q**2 + 2814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**5\/3 + 1463*l**4\/3 - 308734*l**3\/3 - 311662*l**2\/3 + 308735*l\/3 + 310199\/3 = 0.\nAnswer: -1, 1, 257, 1207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*i + 5*i + 2, -3*k - 15 = -2*i. Which is the third smallest value? (a) 5 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18564792157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from cngcccdcgnqc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41890?\nAnswer: 2, 5, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 3 - 43. Suppose -296 = -a*k + 160. List the prime factors of k.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**3 - 3237*o**2 + 1185*o + 70521. Give j(647).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 29*y**2 + 4*y - 25. What is the tens digit of n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19905 by 5.\nAnswer: -3981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 8f4bd?\nAnswer: -8f4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 146\/8 - 17\/(15 + 53). Let k be 4\/a*(-6)\/24*-6. Factor 0 + 7\/3*p - k*p**3 - 2*p**2.\nAnswer: -p*(p - 1)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 14 - -3) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 7385.6.\nAnswer: -1477.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 336*q - 35 - 1 + 36 + 1047*q.\nAnswer: 711*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 962964415 a multiple of 2887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*z - 5 - 15 = 0, -2*q + 3*z + 12 = 0. Suppose q = 3*a - 0*a. Let y be (-14)\/6 - (-1 + -1). Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -53\/116?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3900 = -2*y + 4594, -5*y + 4*t + 21253 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/(-15))\/(1\/5). Solve -15 = 4*z + b, -2*z - 2*b + f = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.22 + 12.22. Which is the nearest to -0.4? (a) 2\/11 (b) 17 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 46760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/84 and 59\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/((-52)\/8) - 631. What is p rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.019 + -1.981. Let u be ((-8)\/(-10))\/((-1)\/(-5)). Put u, d, 0.6 in descending order.\nAnswer: u, 0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -702 and -0.16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -13. Let g = 0.2 - 0.2. Let w = c - g. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307505847 a multiple of 2198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 801*l**4 - 2*l**3 + 8*l**2 + 12*l + 5. Let d(o) = o**4 + o**2 - 3*o + 2. Let p(i) = -b(i) - 4*d(i). Find the third derivative of p(h) wrt h.\nAnswer: -19320*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/13 + 6*g**2\/13 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + (sqrt(112)*1*-5 + -2 - (sqrt(112) + 2 + -5 - 2*(sqrt(112) + 1))))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 4:18 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2 - 5*h + 8. Let b be i(2). Suppose 0 = -47*t + 52*t - b. Solve -k = k - t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 1\/62050 (c) 3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvvlw. Give prob of sequence lkv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -733*p**5\/60 - p**3\/2 + 7*p**2. Let n be l(3). What is n rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = a + q - 65, -a = -q - 53. 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: Let l(o) = 63*o + 38. Determine l(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 7*c = -3*t - 105, -101 = 4*c - t. What are the prime factors of -34*(-2*1)\/((-32)\/c)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5 + 168*f**4 - 13788*f**3 + 75846*f**2 + 13785*f - 76014 = 0?\nAnswer: -103, -1, 1, 6, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/6*(-81)\/18. Let r = 9 + u. Solve r*f = 2*v + 16, 0*v + 2*v - 2*f + 14 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.23 + -12.23. Let m = -21 - -17. Which is the biggest value? (a) n (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12763897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -100.08, 0.5, -3?\nAnswer: -100.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45639*i**3 - i**2 + 2124*i + 563700223?\nAnswer: -136917*i**2 - 2*i + 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:12 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**5 - 2*w**5 + w**5 + (2 + 0 - 1)*(7*w**2 - 7*w**2 - 3*w**5).\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6398840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 307596068*v + 372356286 with respect to v.\nAnswer: 307596068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 2*l + l**2 + (0*l + 3*l - 5*l)*(75522 - 790*l - 75522) + 3*l**2 + 2*l**2 - l**2.\nAnswer: 1585*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*n**2 + (-1 + 1 + n**2)*(-8 - 126 - 122).\nAnswer: -258*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 10986\/34 - -1. Suppose 2*z = -4*a + 1284, 0*z - 2*z = -3*a + 963. Let l = f - a. What is the third smallest value in 2\/9, 2\/19, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*i. Suppose 4*v - 1 - 19 = i, -3*v = -3*x + 3. Calculate the smallest common multiple of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 13. Let u be a(-14). Let j(o) = o**2. What is j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 11. Let l be i(6). Suppose 2*h + s - 17 = 2*s, 2*s + 44 = l*h. Let x = h - 11\/3. Calculate the common denominator of -33\/14 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6\/11)\/c**(2\/7))**31)**(-47) assuming c is positive.\nAnswer: c**(93248\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-24) - (2\/(-3) - -1). Is x greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + (3 - 2) + -5. Suppose -i + 0*i + g - 106 = 0, i - d*g = -90. Let t = i - -174. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-40)\/192)\/(5\/(-3))*8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(98))**2 + 3 - (-3 + (sqrt(98) + 1 + sqrt(98))**2)).\nAnswer: -30 + 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 divided by -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14856 + 23718. What is the thousands digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30529603.\nAnswer: 13, 17, 138143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 651*l**3*z**2 + 6825*l**3 + 83*l + 206551*z**2 + 28 wrt z?\nAnswer: 1302*l**3*z + 413102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-822 - 983 - 16)*(-2*t - 3*t + 0*t).\nAnswer: 9105*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1068808 and 1505.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -768*k**2 + k - 3. Let g be x(1). Let t = 1037 + g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(910\/130*(-1)\/(-28))*1\/2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 7*g + 10. Let d(c) = -7*c**2 - 13*c - 20. Let o(m) = m**2 - 21*m + 3. Let f be o(21). Let w(j) = f*d(j) + 5*n(j). Give w(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((236\/48 + -5)\/(2\/(-6))). Put -12, v, -15, 22 in increasing order.\nAnswer: -15, -12, v, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8937 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/5 + 69438*n**3\/5 + 401664087*n**2\/5 - 321497940*n + 321553500.\nAnswer: 3*(n - 2)**2*(n + 11575)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + -41 + 37\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Solve f = m + m - 3*i + 5, 3*m + 15 = -3*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 3:43 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 504, 750?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 11 - 3)*(2*v**5 - 3*v**5 + 0*v**5).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9453 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (567\/931 - (-120)\/(-168)) + (-336)\/57.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -3\/8*a**3 - 3*a + 9\/80*a**5 - 1\/16*a**4 + 0 + 0*a**2 + 1\/40*a**6. Factor u(z).\nAnswer: 3*z*(z - 1)*(z + 1)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -184, -289, -436, -625, -856?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9*k - 50 = 0. Suppose 5*y = -2*v + k, 2*v - v = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4094517, 4094515, 4094513, 4094511, 4094509?\n\"Answer: -2*p + 4094519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 935180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 12*j**2 + 14*j - 60. Let b be f(-10). Factor b + 1\/6*o**3 + o**2 + 3\/2*o.\nAnswer: o*(o + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/40)\/((6\/(-8))\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*h**3\/8 - 12077*h**2\/2 - 23569*h\/2 + 486 = 0 for h.\nAnswer: -486, -2, 4\/99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -7 + -6 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 25*f - 1. What is the tens digit of m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/2*(10\/(-5))\/(-10). Which is the nearest to -1\/3? (a) 1 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 - -8a9e?\nAnswer: 8a6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 225*q - 2704017 + 2707167 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229045 - 5044777\/22. Let h = d - -263. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)*4\/(-8). Suppose -n + 1 + 4 = l. Let 2*z**4 + 2*z**4 + 0*z**5 - 2*z**n - 2*z**3 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -v - 0*v + 3*j, -3*v = -4*j + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:10 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-840)*18312\/(-126) + 7?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 823*g**4 - 3*g**2 - 1467 wrt g.\nAnswer: 3292*g**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 1:09 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 28.5. Which is the nearest to 0? (a) -1\/5 (b) z (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*o - 31*o + 16908. Let t = -1809 + o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 5*p**2 - 7*p + 13. Let j be c(4). Put -3, j, -4 in ascending order.\nAnswer: j, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 10:45 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4107 + -21?\nAnswer: -4128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2730512 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21879078 divided by 7293026?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 3*r**2 - 6*r**2)*(4*r - 10*r + 4*r) as l*r**3 + x + g*r + a*r**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1038*r - 8 = -1035*r + 4*s, -2*s = -31*r + 134 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (10 - 0) - -15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**2 - 8*n + 7. Let h(t) be the first derivative of 3*t**3 + 7*t**2\/2 - 6*t + 16. What is -7*h(w) - 6*u(w)?\nAnswer: -3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1 - sqrt(133))*3 + (sqrt(133) - (sqrt(133) + (-6*(sqrt(133) + sqrt(133)*-2) + sqrt(133) - sqrt(133)))))\/(sqrt(252)*3*1*4).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1462, -1456, -1446, -1432, -1414?\n\"Answer: 2*f**2 - 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*y = 2*y + 1276, 2*s - 3*y = 1272. Calculate the common denominator of (-2)\/(s\/(-993)) + (-8)\/(-10) and 32\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1082 - 1162 = -20*i. Suppose 4*w - 56 = 4*n, 2*w - 3*w - 1 = 2*n. Solve i*q - 25 = -3*d, -d = -4*d + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 15*a + 48 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -197176092.\nAnswer: 19717609.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - v**2 - 2*v - 2. Calculate s(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 446.67682 and -287.1461.\nAnswer: 159.53072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -817578?\nAnswer: 4\/408789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -428*k + 10275. Let m be x(24). Solve -4*u + 9 - 8 = q, 5 = -m*u + 5*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.002 - 3. Let o = -58.998 - b. Let j = 59.00023 + o. What is j rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + -35 + (-5 - 3 - 1).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((3\/(-10))\/(360\/150))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 7. Let g be u(4). Let f be g\/12 - (-17)\/(-20). What is the smallest value in f, 2\/7, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17264 - 34529 - 384*f + 17267 to the form x*f + g and give x.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 10*p + 5. Suppose -2*q = -0*n + 2*n - 178, 3*n - 351 = -4*q. What is the remainder when q is divided by s(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7241014?\nAnswer: 2, 11, 17, 19, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2475 - 2444. Suppose 100 - 10 = f. What is the remainder when f is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 10 - (10 - (39 + -9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3 + 4*z + z**3 + 0 + 0 - 5*z**2. Let y be o(4). Find the second derivative of y*l**4 + 0*l - l - l**4 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 - 2. Let i be (-1 + -3)*33\/176. Which is the third biggest value? (a) i (b) -2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/12107 and 63\/5?\nAnswer: 60535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8259539*y - 8259539*y - 330*y**2.\nAnswer: -330*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 180880.\nAnswer: 542640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 3*m**2 + 4*m - 2. Let o be b(2). Let u = 2.95 + 0.05. What is the closest to 1 in 2\/5, u, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 5\/28 (c) 0.07984 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**4 + 3*q**5 + 0*q**4 - 173*q**2 - 12*q**4 + 40*q**2 wrt q.\nAnswer: 180*q**2 - 408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 631.77 + -632. Let k = 400.1 - 400. What is the biggest value in 0.06, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o + 2*o**5 + 167*o**4 - 167*o**4 wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 912 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -160, -174, -186, -196?\n\"Answer: z**2 - 17*z - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 + 27*n. Let b(v) = 19*v**2 + 16*v**2 - 15*v**2. Determine b(d(g)).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 5 (c) -7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**2 + 5 - 5 - 14 - 3*s**2 + 14 + s**2 - s**2 - 2*s**2 + (4 - 4 - 2*s)*(3*s - 2*s + s) to x + l*s + m*s**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 - 7 = 0. Suppose 0 = c*k - 5*v, -k - v + 10 + 0 = 0. Calculate the highest common factor of 50 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 225\/30)*6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 301 - 1811\/6. Let u = -1\/3 - s. Solve -u*l - 1\/4 + 2*l**2 = 0 for l.\nAnswer: -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/7996800 and 171\/58643200?\nAnswer: 175929600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3869 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.321 times -0.4?\nAnswer: -0.1284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141*((-2)\/(-4))\/(0 + (-7)\/(-826)).\nAnswer: 3, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/4*(-520)\/100. Solve 3*f + 4 = d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19076*p = -19074*p - 8, 2*r - 4 = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 19*b**4\/2 + b + 13. What is the derivative of w(v) wrt v?\nAnswer: 114*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b + 5*o - 16, 0 = 2*b + 5*o - 31. Let j be (-40)\/(-10) - b\/(-2 - -3). Put j, -4, -12 in decreasing order.\nAnswer: j, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716799591 a multiple of 6154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1803 or -1797?\nAnswer: -1797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 1, 114.\nAnswer: -5, -3, 1, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/89 or 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -334 divided by -167\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 135 and 2.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-2 - -14 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 - 96. Suppose -2*q - u = 3*q + 4*o, -21 = 5*q - 3*o. Let m(y) = y - 8. Calculate m(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 1 = -4*b + 5, 1887*b - 944*b + 3*a = 946*b - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2 + 219*u = 0.\nAnswer: -73, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1921033 is divided by 23144.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59464868*x**4 - 201557957*x**2?\nAnswer: -1427156832*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -17 - 8*o + 4*o + 3*o. Let f(n) = n + 1. Let t(b) = 3*f(b) + h(b). What is the first derivative of t(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*y**2 - 374*y**2 + 752*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14124 * 0.4.\nAnswer: 5649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*a + 1140, 3*j = -a + 194 + 85. Calculate the greatest common factor of a and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Suppose -2*q = -q + 3, -4*o - 5*q - 7 = 0. Let d(g) = -1 - 1 - g**2 + o. Give d(h(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1229*i = 1310*i - 729. Solve 0 = l + 3*s - 15, 5*s + i = 3*l + l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220638, 441281, 661922, 882561, 1103198, 1323833?\nAnswer: 1544466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 23\/3 - 1\/(-3). Let l be (-273)\/6 + 2\/4. Let q be ((-7)\/5)\/(9\/l). Are k and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + -4. Let k = -1 - -1.1. What is the closest to k in j, 2, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9293683 months in centuries?\nAnswer: 0.00244114025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Let y = -96 - -90. Let j(l) = l**3 + 5*l**2 - 6*l - 11. Let n be j(y). Put -2, n, d in increasing order.\nAnswer: n, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10cb (base 14) to base 12\nAnswer: -1837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/4 - (35892\/(-3988) - 3242\/(-340))?\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 at least as big as 2109\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**3 + 168*t**2 - 189*t - 1026 = 0.\nAnswer: -57, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4\/3 (b) -3 (c) -22\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -33*g - 1171. Let a be f(-36). Solve -3*s - a = -m + 2*m, -s + 5*m + 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1333*a**2\/4 - 1375589*a\/4 - 17286.\nAnswer: (a - 1032)*(1333*a + 67)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 727137 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 11*z**2 - 9*z - 5. Calculate q(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 2 u when four letters picked without replacement from uucpkrh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 34428095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.21, 4, -8\/47, 0.3, -5\/2?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -15*q - 1. Suppose -234 = -758*s + 641*s. Let x(h) = -14*h - 2. Determine s*x(y) - 3*f(y).\nAnswer: 17*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2761 and 753?\nAnswer: 8283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhhzvaavhvva. What is prob of sequence az?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 16. Let g be z\/(-11) - (-4)\/22. Let o(u) = -8*u**3 + 2*u - 1. Let n be o(g). Round n to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004742 to seven dps.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*h, -g + 1 + 6 = -2*h. Suppose -g = 2*t - 25. Let a be 220\/t*(2 - (-6)\/(-5)). Calculate the highest common divisor of a and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.35861 - -4.392. Round s to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112283 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8\/7, -1\/3, 1, 5, 96, 72\/11, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -200420 or -200409?\nAnswer: -200409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -3322 (c) -9 (d) 2\/19 (e) 0.6 (f) 1 (g) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3*u + 42 = 0, -3*u - 54 = 1689*k - 1696*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**5 + 444*m**4*w - 46*m**4 + 85*m**2*w + 10*m**2 - 116*m wrt m?\nAnswer: 180*m**2 + 10656*m*w - 1104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -29, 4, 0.11, 2, -1\/3, 76\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 16, 0.\nAnswer: -4, -0.1, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159255243 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-1 - 3 - -2) + (-18 - -10)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -32. Let s = d + 17.947. Let w = -2.947 + s. What is the third smallest value in 0.3, -2\/5, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcbbbhjbjcjchbbbbbbh. What is prob of sequence cb?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (61 - (-15 + 8))*-1. Let y(s) = -4*s**2 + 2*s + 1. Let m be y(-3). Let d = m - a. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 6*u**2 - 4*u**2 + (5 + 13*u + 1 - 4)*(0 + u + u - 2) in the form j + k*u**2 + d*u and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -438.085 rounded to the nearest integer?\nAnswer: -438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104535864163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 148287 - -1?\nAnswer: 148288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 5. Solve -4*y + 5*k - v = 0, 0 = y + 4*k - 11 - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 3*d**2 + 6*d - 2. Let g be x(5). Let q = g - -25. Solve 2*z + 5 = q*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let o be 0 - 0 - -2 - -19. Let c = 62\/3 - o. What is the second biggest value in b, 0.2, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/(9\/24). Let z = 1160521.09 - 1160521. Let x = 0.05 + -3.05. Which is the second biggest value? (a) z (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 19. Suppose 4*g = m + m + s, -m = 2*g - 13. Suppose -3*t + 190 - 52 = m*b, -5*t - 120 = -2*b. Calculate the highest common factor of 125 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-11)\/(33\/22338)*25\/(-75)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*v + 46, -76 = -4*v + 2*a + 22. Let u = -35 + v. What is the tens digit of (u\/6)\/(2\/(-180))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 213b + -4?\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113092*z + 20 - 20 - 113097*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 23.44. Let x = 0.06 + v. Let i = x + 1. Which is the third biggest value? (a) -3 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 3:06 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.053, 0, -1\/321, 1\/12, 5\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1221213 (base 4) to base 12\nAnswer: -3ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -174?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2998 = -114*h + 832 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuwpwwwupwupunuuuwnn. What is prob of picking 2 n?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*m*y**2 + m*y - 25052*m + 635*y**4 with respect to y.\nAnswer: -10*m*y + m + 2540*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27193, -54366, -81531, -108688?\nAnswer: -135837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 7938765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-23.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 215, 445, 675, 905?\n\"Answer: 230*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let c = 3 + n. What is the second derivative of -3*i + 4*i**2 - 7*i**c + 2*i wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/20 - 5*o**4\/24 - 2*o**3\/3 + 7*o**2. Calculate the lowest common multiple of l(-1) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -18. Let b(r) = -2*r - 8. Let y be b(f). Let j = -3 - -2. Sort j, 4, y in decreasing order.\nAnswer: 4, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -201*c - 55. Let b(s) = 2*s + 13. Give 4*b(t) + w(t).\nAnswer: -193*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + (-6 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2. Let s(q) = 32*q + 75*q + 107*q - 55*q. Give s(b(v)).\nAnswer: -159*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 4*d**4 - 1664 + 831 + 832 to s*d**2 + n*d + w*d**3 + c + h*d**4 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {a: 1, m: 6, i: 7, k: 2, u: 2}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164 + -62. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1525 + 2317. Is -2\/17 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 24.5. Let n = -3 - -3.1. Which is the biggest value? (a) 3\/8 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.15 + 0.6.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(4 - 34\/3). Let n = t - -26. Let b(y) = -4*y. Let d(v) = 3*v. Determine n*b(a) + 5*d(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.613 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 3 = 16*b. Let c(d) be the second derivative of 1\/6*d**3 - 12*d + 0*d**b + 0. Let v(m) = 2*m**2. Determine v(c(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 19145 = 300. Let r = -17994449\/18 + 1003574. Let c = j + r. Find the common denominator of c and -21\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 8 = -2, -122 = -4*w + 5*s. Suppose -2*a = -16 - 12. What is the highest common divisor of w and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2441674 plus 3.11?\nAnswer: -2441670.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8537 * -2.371.\nAnswer: -20241.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 5*p + 10. Let o be a(6). Let k(w) = w**3 - 4*w**2 - w + 4. Calculate k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 473?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 14) to base 4\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 90?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11789.855*-0.028\nAnswer: 330.11594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let h(x) = -x + 7. Let t(j) = -3*j + 15. Let l(d) = -13*h(d) + 6*t(d). Calculate l(b) + 5*r(b).\nAnswer: -10*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g = 350 - 323. Is -13\/17 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j + 5*q - 2266 = 26*j, -3*j + 2343 = -6*q. Calculate the remainder when j is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1645\/198 - 8) + (126\/(-648) - (-1)\/4).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1088*t + 357*t + 359*t + 382*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*l + 475*l - 930*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 25*q**2 - 1050*q - 2. Calculate n(42).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/2*y**4 + 0*y + 1\/2*y**5 + 63\/2*y**3 + 31\/2*y**2 + 0.\nAnswer: y**2*(y + 1)**2*(y + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 194422 and -112.99?\nAnswer: 194534.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2039394 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -211202212?\nAnswer: -211202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 7:42 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 2. Let o(p) be the first derivative of p**2 - 3*p - 8389. Suppose 2*i - 2*n = 4, 3*n - 34 = 3*i + 8*n. Give i*u(a) + 2*o(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257*s + 4 - 191*s + 147*s + 26*s to n*s + w and give n.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36898 divided by 2\nAnswer: 18449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -212d + -4a?\nAnswer: -2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2541599422.\nAnswer: 2, 1553, 818287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -182, -185, -190, -197?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - n**2 + 3*n**2)*(-6*n**2 + 5*n**2 - 7*n**2) + 5*n**4 - 2*n**4 - n**4 - 3*n**3 + 3*n**3 - n**4.\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5139*x**3 + 452*x - 1374*x + 457*x + 465*x.\nAnswer: 5139*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/345 and -51\/50.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 15 = -6*x. Suppose -47*p + 76 - 264 = 0. Sort x, -5, 2, p in decreasing order.\nAnswer: x, 2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 6856?\nAnswer: 68560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*o**3 + 111*o**3 + 93*o**3.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -409 (base 15) in base 12?\nAnswer: -639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvpnvtgvtpvvgc. Give prob of sequence pgvt.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - ((-1 + sqrt(242))*5 - sqrt(242) - sqrt(242)))**2*1.\nAnswer: -220*sqrt(2) + 993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25966351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76044*n**5 - 49*n**4 - 4*n**2 + 10*n - 94473 wrt n?\nAnswer: -4562640*n**2 - 1176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160.0352 - 160. Let f = a - 0.03520469. Round f to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 17 + 17)*(-5*w - 5*w + 5*w).\nAnswer: -110*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -433503.5896 rounded to the nearest one thousand?\nAnswer: -434000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 124 + 96 = 0. Let n(c) = -5*c - 38 - c + 59. Let i be n(z). Let f(w) = w**3 + 2*w**2 - 3*w - 1. Calculate f(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 3355 = 7*a. Suppose 4*c = -5*b + 8697, 3*b = -4*c + a + 1860. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 5) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5.7. Let g = 0.59 + -14.69. Let u = g + 16.1. What is the biggest value in -4, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1841 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) 0.3 (b) 0.2 (c) -3 (d) 45 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1330*p - 28173 + 18370 - 28767 = 0 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from yfafufaukf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*q**5 - 217*q**2 wrt q?\nAnswer: -4320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + u - 4 = 0, -7 - 9 = -4*u. Suppose 4 = -3*y + 4*s - 7, -s + 8 = y. Solve 0 = -2*b + y*j - 7, b = -l*b - j - 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2. Let o(v) be the first derivative of -41*v**2\/2 - 222. Give d(o(a)).\nAnswer: -6724*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 1. Let k(q) = -27*q - 45. Let r(g) = k(g) + 4*s(g). Differentiate r(l) with respect to l.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 8.508.\nAnswer: -68.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.29, 2\/7, -0.1 in decreasing order.\nAnswer: 0.29, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 less than -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 8*j**2 - 8*j + 2. Let k(b) = -b**3 - b**2 + 3*b - 3. Let i be ((-18)\/(-15))\/((-8)\/20). Let h be k(i). Is 13 a factor of w(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 - 5*s - 12. Let h be k(-2). Calculate the remainder when 1 + 1638\/135 - h\/(-15) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230200010002 + 113?\nAnswer: -230200003223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 - 89 + 25)*(2*i - 4*i + i) in the form t*i + n and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126.1 - -126. Let d = 187 + -1312\/7. What is the nearest to t in d, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - w)*(-4 + 5 - 2).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*s + 24 = -49*s. Suppose -s*c = 4*c - 690. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -247 divided by 1\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/148897 and -30\/623.\nAnswer: 148897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-89760)\/(-105) - (-12)\/(-14). Calculate the greatest common divisor of k and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*c - 257, 0 = -4*c + 13 + 7. Let z = t - 49. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v. Let f be o(-1). Let x(t) = 2*t**3 - 6*t**2. Let c(h) = 4*h**3 - 11*h**2. Let n(i) = f*x(i) - 4*c(i). Find b, given that n(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 909*l + 16. Let d be q(2). Let b = -1081 + d. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 25 = -9*q. Suppose -l - 24 = -q*v, l + 4 + 0 = 0. Suppose -142 = -v*o - 26. Calculate the remainder when o is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 292570 and 87771.\nAnswer: 877710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x. Calculate the common denominator of -99\/14 and 226\/24 + x + 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 12. Let n be h(0). Suppose -44*w + n = -42*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37611 divided by 1393.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 168*y - 1791. Give t(13).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m - 3 - 23*m - 62*m**2 - 31*m + m - 4*m**3 + 61*m**2 as b + i*m**2 + t*m + d*m**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -928*j**3\/3 + 3199. Let g(v) = -v**2. Calculate f(g(o)).\nAnswer: -928*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(-10)))*t**(2\/5))\/(t**(-2\/3))**(4\/13) assuming t is positive.\nAnswer: t**(-1637\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m**3 - 205*m**2 - 1192*m - 285. What is d(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - i + 5*i = 29716, 2*i = 3*g - 22257. What are the prime factors of g?\nAnswer: 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 268808372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013531259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 4\/5 - 1\/5*v**3 - 8\/5*v.\nAnswer: -(v - 2)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 55 = 20*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/20)\/7)\/((-15)\/6*54\/(-28620))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*m + 418 + 3913 + 7185 = 1796 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9269818?\nAnswer: 2, 199, 23291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -757 and 1.3.\nAnswer: -984.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11228 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -51. Suppose -3*r + 3*z = -21, o*z + 36 = 3*r + 2*z. Let x(q) = q**3 - 9*q**2 - 14*q + 3. Calculate x(r).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**5\/10 - o**3\/3 - 2*o. Find the second derivative of c(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001375378 rounded to 6 dps?\nAnswer: 0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 7*t - 12. Let i(k) = 3*k**2 - 14*k - 24. Let l(d) = 2*i(d) - 5*x(d). Suppose 3*y = -y - 24. What is the units digit of l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmqmqqqlqmqmm. Give prob of sequence mmq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61223131771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wttttwkwwwwkw. What is prob of picking 2 t, 1 k, and 1 w?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -3, 5, -4 in descending order.\nAnswer: 30, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(7 + -2) + -4 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = 5*i - 3, 5*i = 2*b + 8. Solve i*n = 3*v - 4, -2*n + 3*n - v + 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2990*i**2 + 154*i - 5550815 wrt i?\nAnswer: -5980*i + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599.7585 days to hours.\nAnswer: 14394.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 9. Suppose 14 = 3*b - b. Suppose -2 = n - b. Let d(k) = 4*k + 13. Let a(v) = n*d(v) + 7*l(v). What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b + 10. What is x(-20)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 6:47 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/1882 + 51615\/52696. Calculate the common denominator of c and -15\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 - 167*o. Let j(d) = 78 - 17 - 2*d**2 - 20 - 41. Determine y(j(w)).\nAnswer: -24*w**4 + 334*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-5))\/(16\/800*-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ummmumummm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 6:14 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*d - u + 39, -d = 4*u + 1. Let m = d + -9. Find the third derivative of -52*a**4 + a**2 + a**m + 21*a**4 wrt a.\nAnswer: -744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, y: 6, i: 2, r: 1, k: 1, d: 1}. What is prob of sequence pkp?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**4 + 25 - 7 + 4*c**4 + 35*c**3 wrt c?\nAnswer: -4*c**3 + 105*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 31 = -3*f. Suppose -4*q + 26 = -2*q - f*y, -5*q + 20 = 5*y. What is the highest common divisor of q and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12588*o**2 - 12588*o**2 + 1974*o**4 + (0*o + o - 3*o)*(-2*o**3 + 0 + 0).\nAnswer: 1978*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 34 + 39 = 0. Let l = b - -189. Calculate the remainder when l is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2537121.9 months to decades.\nAnswer: 21142.6825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*i)*(2 - 2 - 9*i**2) - 5*i + 5*i - i**3 + (2*i**2 + 0 + 0)*(2*i - 2 + 2) + 4*i**2 - 4*i**2 + i**3.\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20437549.\nAnswer: 11, 1857959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + q**2 + 3*q)*(1 + 26*q - 15*q - 15*q) to f*q**2 + d*q + w*q**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1084, 1387, 2214, 3829, 6496, 10479, 16042?\n\"Answer: 44*w**3 - 2*w**2 + w + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5872.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/10 - v**2 + 5*v. Differentiate y(q) wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwwhwqz. Give prob of sequence www.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 42*x + 85. Let b be c(-2). Sort -3, b, 1521, -4 in decreasing order.\nAnswer: 1521, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(216\/(-126))*(-1296)\/168?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(-8 + 8). Suppose d = 3*x - 89 - 19. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*q + 117 = 0, -2*x + 2*q + 169 = -q. Let s = x - 51. Let i = s + -22. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.041 * 0.014.\nAnswer: -0.000574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117065704*d**2 + 118815093?\nAnswer: -234131408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-90)*((-184)\/(-80) - (-1)\/5)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1343612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4480 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -26 - 2\/5*s**5 + 0*s**4 + 1\/3*s**3 + 0*s**2 + 0*s + 5\/6*s**6. What is the third derivative of o(z) wrt z?\nAnswer: 300*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*w**3 - 368*o**3*w**2 - 8*o**2*w**3 - 7*o**2 + 3*o*w wrt o.\nAnswer: 6*w**3 - 2208*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-42 - -36) - 43?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t. Suppose 9*c - 5*c - 28 = t. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -17*k**2 + 3*k. Let d(m) = 2*m**2 - 35. Let c be d(5). Let q(a) = c*a**2 - a - 11*a**2 + 0*a**2. Calculate 9*q(p) + 2*y(p).\nAnswer: 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 3*y - 3*y**3 - 7*y**3.\nAnswer: -10*y**3 + 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -0.1 (c) 18762840 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -4, -2\/7, -0.1 in descending order.\nAnswer: 2\/5, -0.1, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 83, 168, 283, 428?\n\"Answer: 15*m**2 + 10*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 72.3 (b) -1.1 (c) -0.1 (d) -1312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(3 + sqrt(684) + -3 + (sqrt(133)\/sqrt(7))**2)*6*-5.\nAnswer: -900*sqrt(19) - 2854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 8*c - 8. Let y be i(-6). Suppose 4*s + f = -0*s, f - y = 0. Let p be 0 + -1 - 2*s. Solve -p = l + u, 3*l - l - 2*u = -14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-2*5\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5))**(3\/4)\/((w**(-3\/13)*w)\/((w*w**(2\/17))\/w)) assuming w is positive.\nAnswer: w**(-3891\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217646, -217644, -217642?\nAnswer: -217640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 9. Let y(n) = n**3 + 25*n**2 + 22*n - 52. Let o be y(-24). Let u(s) = -3*s - 17. Calculate o*u(g) + 7*m(g).\nAnswer: -2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + (4 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31448141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38791339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/70)\/((-1092)\/(-3822)*14\/(-10)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*j**3 - 38 - 218*j**3 + 12.\nAnswer: 48*j**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -6.23 (b) 0.3 (c) 5 (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (9 + -17 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 + 2*l + 47. List the prime factors of g(-16).\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3589 divided by 9.\nAnswer: -3589\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.01, -46.\nAnswer: -46, -5\/3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 - 33792 - 21*m**3 + 33792 + 3*m**3 - 4*m**3 - m**3 + 0*m**3 - 3*m**3 + 2*m**3 + (3 + 5*m - 3)*(m**2 + 0*m**2 - 2*m**2).\nAnswer: -29*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 4. Let h(v) = -3*v - 11. Let t be (-1572)\/42 + (-3)\/(-7). Suppose n + 94 = 2*z + 26, 5*n + 109 = 3*z. Let y = z + t. Determine y*h(s) - 11*i(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65467801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -26. Let w be 20\/6*m\/(-10). Find i, given that 5\/2*i**3 - i - 1\/2*i**4 - 3\/2*i**w + 0 + 1\/2*i**2 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 46 = -4. Suppose 8*h + 168 = 14*h. Suppose -31*y + 35*y - h = 0. Solve -2*q + r = -y*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjua when four letters picked without replacement from {j: 2, c: 4, a: 3, u: 4, l: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 357261, 716053, 1074845, 1433637, 1792429?\n\"Answer: 358792*p - 1531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + d)*(3*d**2 - d**2 - d**2) - 783*d**3 - 278*d**3 - 483*d**3 + (-2*d**2 + 3*d**2 + 0*d**2)*(d + 2 - 2).\nAnswer: -1546*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*g**3 + 9*b*g**2 + b*g - 2*b - 450*g**3 + 30*g**2 + 289*g + 62 wrt g?\nAnswer: 6*b*g + 18*b - 2700*g + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 140126, 140124, 140112, 140084, 140034, 139956?\n\"Answer: -n**3 + n**2 + 2*n + 140124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 30. Let b(q) = 7*q - 8. Let v(x) = 13*x - 15. Give m*v(l) - 11*b(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14 = -2*u, u - 9 - 18 = -5*y. Let i = 9 - y. Suppose 119*f - 112*f - 308 = 0. Calculate the greatest common factor of i and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92937.61mm in nanometers?\nAnswer: 92937610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-36)*3)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120985496?\nAnswer: 2, 15123187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221120 (base 3) in base 7?\nAnswer: 4065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97701280.\nAnswer: 2, 5, 610633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 15 = -5*n, 15 = 4*f - 6*n + n. Suppose 0 = 4*t - 2*p - 12039996, 3*p + 2*p - f = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-23))\/(42\/483).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9285986 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26337198.\nAnswer: 2, 3, 4389533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53815 or -53816?\nAnswer: -53816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 215, 519, 821, 1121, 1419, 1715?\n\"Answer: -k**2 + 307*k - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiynywwwwyww. What is prob of sequence wiy?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**6\/360 - i**3 + 6*i. Let n(h) be the second derivative of g(h). Let m(x) = 4*x**2 + 2 - 2. What is n(m(t))?\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4 = 2*s + 2, 5*t + 3*s = -21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1854*j + 1450*j + 2848*j + 2953*j + 1911*j to b + g*j and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**3 + 16*f**2 - 4*f + 4. Let a(t) = -t**4 + t**3 + 2*t + 2. Let d(r) = 2*a(r) - g(r). Find z, given that d(z) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*t + 48, -4*w = -5*w + 2*t + 27. Suppose w - 119 = -6*g. Suppose 1053 = 26*d - g*d. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510075?\nAnswer: 5, 7, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46522?\nAnswer: 2, 7, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 33430?\nAnswer: -33421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 7\/35*10. Sort s, 54, 2, -1 in decreasing order.\nAnswer: 54, 2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29626546 is divided by 1083?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.4 + -15. Which is the third biggest value? (a) 24 (b) -0.4 (c) 2 (d) l (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 + 2*a**2 - 50 + 0*a**2 - 34 + 361 in the form i*a**2 + s + v*a and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2519*x = -2352*x + 5536*x + 99085 for x.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -404225 divided by -80845\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + (sqrt(152) - (sqrt(152) + (sqrt(152) - 2*sqrt(152)*-4 - sqrt(152)) + sqrt(152)))))\/sqrt(8))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r + 84977 - 85482 = -4*m, 58 = 5*r - m for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1592.848908 microseconds?\nAnswer: 0.00000000263367875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6679768 is divided by 551.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11 = 5*v, 0 = 4*v + 3 - 7. What is the common denominator of 1\/6*(91 - 3) and (a + 35\/(-11))\/(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = i + 30 - 3, 0 = -2*f - 5*i + 27. Suppose 0 = 3*l - 0*l - f. Is 19 + (3 - 1 - l) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in -6, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*j + 23 - 23 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + 15*b. Let j(o) = -140*o + 25. Let c(x) = 17*x - 3. Let s(h) = -25*c(h) - 3*j(h). Determine a(s(f)).\nAnswer: -50*f**2 - 75*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81440?\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276 equal to 6275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14983, -62810, -142521, -254116, -397595, -572958, -780205?\nAnswer: -1019336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 5 (c) -4 (d) 141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7851.665 litres?\nAnswer: 7851665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 57482687 divided by 6\nAnswer: 57482687\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 8 = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(153)*2)\/(sqrt(45)\/(sqrt(10)\/sqrt(2))))**2 - (-2 + sqrt(136)\/((sqrt(64)\/sqrt(8) + sqrt(8))*-3)).\nAnswer: sqrt(17)\/6 + 1702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, c: 4, e: 2}. What is prob of sequence eecl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/7, 2, -1296, 1, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1156)\/(-6) - (-36)\/(-54). Suppose 3*q - 642 = -t. Suppose 2*v + 3*v - q = 0. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k + 1750 = 38*k. Suppose -4*q + 1506 = -5*d, 0 = 3*q + 4*d - 1320 + k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1620180 divided by 3\nAnswer: -540060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -73. Let g = -485 - -551. What is the greatest common divisor of g and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**4\/2 - 4*c**3\/3 + 4*c**2. Let n(x) = x - 1. Calculate -f(a) + 8*n(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 187921711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -19. Let v = -19 - -11. Let k be 2\/v - 644\/n. Calculate the highest common divisor of k and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*l + 7*l - 24 + 24 in the form j + p*l and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 9 = 5*c - 14*f + 32, -17*c + 22 - 3 = -3*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 + 20*r**2 - 205*r + 180 = 0.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5520 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7703 + -15150.669?\nAnswer: -7447.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -140 * 4\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3, y - 5*y = -3*q - 3. Let d be q*1\/4*-4. Let s(b) = b**3 - 5*b**2 + 3*b - 1. Does 13 divide s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 722 (b) -0.306 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -100*i**5 - 56*i - 67*i + 90*i**3 + 65*i**2 + 133*i - 84*i**4 + 19*i**4 = 0.\nAnswer: -1, -2\/5, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - c + 1. Let f(o) = -6*o**2 - 5*o - 5. Let h(g) = -10*a(g) + 2*f(g). Let w(l) = 32520 + 2*l**2 - 32520. What is h(w(u))?\nAnswer: -8*u**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26661 + -26659. Solve -4*u + 3*p + 219 = 212, -4*u - v*p + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*y**2 - y - 786*y**2 - 1 + 1 + 270*y**2 + 278*y**2.\nAnswer: 32*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -410201202172 and -0.5?\nAnswer: 410201202171.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/6 + 17*l**5\/12 - 4*l**2 - 2. What is the third derivative of o(a) wrt a?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - p - 46 = 0, 5*o - 6*p + 42 = -1 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h**2 + 11*h + 15. Let t(b) = -5*b**2 - 5*b - 7. Let z = -42 - -29. Let y(p) = z*t(p) - 6*g(p). Let j = 2 - 0. Determine y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 9. Let y(d) = -10*d**3 + d**2 + d. Is y(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(21\/(-6) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-13 + 10) - (0 - -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4505 + -4499. What is the smallest value in -4.7, 2, m?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562557017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*y + 5*y - 51, o = -5*y + 23. Suppose 0*r - 7*r + o = 0. Determine z, given that 2*z**2 + r*z**3 + 10*z - 12*z - 2*z**4 - z - z = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -12. Solve -x = -5*a, l = -a + 5*x - 2*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6.3. Let u = 0.358 + -0.658. Which is the second smallest value? (a) i (b) 5 (c) -1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2879655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 12:13 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -136 + -1 - (-1 + 28 - (58 - 15))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -3*q + 15*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*w + 39, 5*s - 6 = 9 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, -13, -0.1, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -23 - (3 - -4 - (21 + -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55336237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3 - 2*g**2 + 4 + 3 - 2 + g**2 - 3 + (-5 + g + 5)*(-3*g + 0*g + g) in the form n*g + j + h*g**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -3\/7 (b) 5 (c) 8 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*d**4 - 23*d**3 + 6040*d - 2?\nAnswer: -768*d**2 - 138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = t - m + 2*m, m = -3*t + 41. Suppose -3*d + t*d - 33 = 0. Solve d*k - 16 = -k, 3*k = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 15674, 3\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 6*k**2 - 2. Let q be g(-6). Let f(p) be the first derivative of -33*p**2\/2 + 4*p - 5. What is the tens digit of f(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 100763*q**3 - 316*q**2 + 316*q**2.\nAnswer: -100763*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -336*r**3 + 4*r**2 - r - 2. Let p(k) = 336*k**3 - 6*k**2 + 2*k + 3. Calculate -2*p(y) - 3*u(y).\nAnswer: 336*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 12. Let m(y) = y + 8. Let x = -8 - -28. Suppose -8 + 42 = 4*c - d, -2*c + x = -2*d. Let b(a) = c*m(a) - 5*t(a). Determine b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1910 + -1875 - (38 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b - 2*b - 3*b. Let y(d) be the second derivative of 0 + 0*d**2 + 2\/3*d**3 + 44*d. Calculate y(t(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 minutes before 7:31 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90 or -9827\/108?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8294 and 3190.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9)\/b*b\/b**(-3\/25))**(-4\/3) assuming b is positive.\nAnswer: b**(92\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(6\/18) + (-58)\/(-18). Let m = 2.2 - 2. Which is the closest to -1? (a) m (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 27*s + 232. Let j be r(8). Sort j, -3, -2 in increasing order.\nAnswer: -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 1 + -4 - -3. Let o be -2*f\/(-2) + 95. What is the units digit of o\/9 - 16\/72?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 115521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 74. What is the smallest common multiple of 2 and (3\/(-2))\/(9\/c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4.2, 0.31 in ascending order.\nAnswer: 0, 0.31, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1803*d - 4*b = 1798*d + 1, 0 = 3*d + 4*b + 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (0 + -125 - (-4 + 36 + (42 - 58)))?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53275\/4 + 13322. What is the smallest value in 2\/7, 1.5, 1, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -5. Let x = 1.7 + -2. Let f = 6.616 - 7.016. Which is the third smallest value? (a) s (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18524?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 4*d**2 + 7*d + 13. Let q be v(-5). Suppose -2*n - j = -0*n - 79, q*j = -3*n + 117. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6410739088 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 5660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-6 - 20) + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -181, -443, -705, -967, -1229?\n\"Answer: -262*l + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197.08 + 1.08. Let b = m + 131. Is 1\/4 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/10))**18\/(n*n\/(n**(-7\/6)*n))**(4\/9) assuming n is positive.\nAnswer: n**(599\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1780 and 31444145.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - k = -4, 0 = 2*r - 7*r + 3*k - 12. Suppose -4*i + 29 = 3*v, r = -4*i + i - 5*v + 30. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 50*f - 24831. Let x(m) = 11*m - 6205. Calculate 2*i(o) - 9*x(o).\nAnswer: o + 6183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 314066 - 4?\nAnswer: 314062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 - 614*q**3 + 34996*q**2 - 521584*q + 2239104 = 0. What is q?\nAnswer: 8, 12, 49, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbmmrebw. Give prob of picking 1 m, 2 w, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 668, -5, 8, 4, -4 in decreasing order.\nAnswer: 668, 8, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599915.5 litres in millilitres?\nAnswer: 599915500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 812826.5, -12 in ascending order.\nAnswer: -12, 5, 812826.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1403 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 12*p - 21. Calculate n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1076298*s**5 - 2*s**3 - 25006355*s.\nAnswer: 21525960*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 3*o + 9, 0 = 5*l - o + 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 979\/1 + (-61 - -49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3791, 3789, 3787, 3785, 3783?\n\"Answer: -2*u + 3793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 + 20\/(1 + -5). Let r be 10*(-1)\/(-4)*x\/15. Sort 0, r, -5, -2.\nAnswer: -5, r, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 14520180*q.\nAnswer: -4*q*(q + 3630045)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65979*x**2 - 84577*x**2 - 353227*x**2.\nAnswer: -371825*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 26 = -2*i, -24*i - y - 1 = -23*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4*d - 330*c**3*d**3 + c**3 + 2*c**2*d - 2*d**3 - 213*d wrt c?\nAnswer: 48*c*d - 1980*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -11*u - 2*y + 2019, -3*u + 1224 = -3*y. Suppose 2*m + 139 + 65 = 2*f, 4*f - u = 3*m. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 43838*a + 3. Is u(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*r**3 + 39*r**2 - 2.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1220, -3814, -7694, -12860, -19312, -27050, -36074?\n\"Answer: -643*v**2 - 665*v + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/6 + r**3\/3 + 3*r**2\/2 + r - 633. Let d = 11 + -8. Calculate b(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1608885 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*o - o. Put -1, 4, o in descending order.\nAnswer: o, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 53 = -18*w. Let h = 2 + w. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/331702 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let m(q) = q - 2. Suppose 10*w = 7*w - 12, 0 = -3*i - 5*w - 32. Calculate i*p(d) + m(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655177959.\nAnswer: 3, 72797551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33379 + -145.22379. What is p rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25170329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*r - 10 = 0, 32 = -5*w + w - 4*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Suppose -4*h + 3*x + 54 = 2*x, 5*x = 2*h - 18. Suppose -h - 6 = -20*l. Let k(m) = 3*m**2 + m + 1. Calculate l*k(d) - 2*i(d).\nAnswer: d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51543588?\nAnswer: 2, 3, 313, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -262 (b) 61258 (c) 2 (d) -2 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13108*k**2. Let p(u) = 3*u**2. Calculate x(p(q)).\nAnswer: -117972*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*z + 23, -2*u + 14 = 4*z - 0*z. Let -2\/13*m**2 + 0 + 0*m + 2\/13*m**u = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 + 576*n**3 + 34245*n**2 + 564000*n - 2016000 = 0 for n.\nAnswer: -80, -35, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 - 5)*(5 - 5 - q)*(7*q**2 + 44 - 44).\nAnswer: 91*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -64. Let h(f) be the second derivative of f**5\/20 + f**4\/4 - f**3\/3 + f**2 - 2*f. Determine h(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -39*u**5\/10 - 22*u**4\/9 - 4*u**3\/9 + 2*u. Factor l(m).\nAnswer: -2*m*(9*m + 2)*(13*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 64*i - 89*i. Solve -5*g = 3*q + 23, i + 13 = -5*g + 4*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 23 + 91 + -108\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001536 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -7*k + 232. Calculate the lowest common multiple of k and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(27807\/62)*1*6.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6539 divided by -7.\nAnswer: 6539\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o - 2 - 36*o + 47*o - 30*o + 57*o.\nAnswer: 12*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - 3*p**2 + 1. Let t be g(2). Solve 5*f - 4*f = -t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 - 60 - (7 + (-14 - -54)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -55*d + 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72, -323, -570, -813, -1052, -1287, -1518?\n\"Answer: 2*g**2 - 257*g + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3171257963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**2 + 10*k**2 + 13*k**2 + (-k - 2*k + 5*k)*(k + 2 - 2) + (5*k - 2*k - 4*k)*(4*k - 5*k + 3*k).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3)\/((-6)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r. Let h(v) = v**3 - v**2 + 2. Let t be h(0). Let m(g) = 2*g - 3*g**t - g - g. Give m(f(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**7\/147 + 2*v**6\/105 - v**4\/21 - v**3\/21 - 2*v. Solve t(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(2) + sqrt(8)) + -1 + -2.\nAnswer: -3 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s**2 + 5*s**2 + 11*s**2 + 12*s**2 + 7*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -7319488.7\nAnswer: 14638977.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-70)*15\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l - 13 - 6*l**2 - 21*l + 5*l**2. What is p(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lln when three letters picked without replacement from llnnuunnllnkk?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3071 and 226092.\nAnswer: 8365404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 409609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6 - 12 = -q, 0 = 8*q + 2*p - 34 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4 and -31\/8332547?\nAnswer: 33330188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 6:31 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -57\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -41. Let a be (145 + -1 - 1) + q + 4. Suppose -6*i + 367 = -a. List the prime factors of i.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2148 = -8*i - 4*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57217324 (base 8) in base 4?\nAnswer: 233101323110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2. Let r(i) be the third derivative of i**4\/8 + 42*i**2. Determine r(f(s)).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 714552 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -6. Let y be s - (4 + -3 - -1). Suppose 6 = -y*p - 5*l, 0*l - 8 = 2*p + 5*l. Sort p, -5, -1 in descending order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 113 = 4*a, 0 = -0*a + a + 4*n - 42. Let s(g) = 10 + 0*g + 2*g - g. Let h be s(-6). Solve -3*f + 25 = -2*q, 5*q - h*f + a = -23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 + -123. Which is the second biggest value? (a) -0.4 (b) s (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 286, 9113 in decreasing order.\nAnswer: 9113, 286, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31\/5 in -0.305, 12, 23?\nAnswer: -0.305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*n + 320 = 82*n - 451. Sort n, 11, -3, 2 in decreasing order.\nAnswer: 11, n, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1120416545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 4 - 2 - 1 - 6*p**2 - 2. Suppose 0 = -2*i - 0*i - 6. Let o = i - -2. Determine k(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.058 from -43067163872.\nAnswer: -43067163871.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17030, 34998, 52952, 70886, 88794, 106670, 124508?\n\"Answer: -r**3 - r**2 + 17978*r - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 516568\/92979 + -2\/10331. Let c(o) be the first derivative of 8\/3*o + 16\/3*o**2 + 19\/6*o**4 + j*o**3 + 14\/15*o**5 - 4 + 1\/9*o**6. Factor c(k).\nAnswer: 2*(k + 1)**3*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 30. Let b be h(15). Put -3, b, -6, 5 in ascending order.\nAnswer: -6, -3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = 3*z. Let g = -1 + z. Let t(r) be the first derivative of -r**4\/4 - 4*r**3\/3 + r**2\/2 - 3*r + 21. Determine t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1695122.49 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*1\/(-2)*2. Let k = -41 - -23. Let q = k + 18. What is the third smallest value in f, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689 divided by -6.\nAnswer: -689\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, 0.2, -24\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 + 5*g - 5. Let b = -8 - -2. Let x be j(b). Suppose 40 = o + 4*o. Solve -x - o = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 + (-1 - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 38. Let a be z(-19). Solve -5*o = -a*h + 2*h, 25 = 5*o - 3*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, b: 1, e: 4, a: 5, w: 6}. What is prob of picking 1 b, 1 w, and 1 a?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*x = 18, 5*w + 3*x - 5*x = -30. Let z be (-970)\/(-5) + w*1. Calculate the greatest common factor of 47 and z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) - (1*(1 + sqrt(272)))**2.\nAnswer: -273 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (0 - -3)) + -1 + 7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-580)\/8*((-208)\/5 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**6\/60 + d**5\/5 - 17*d**4\/24 - d**3\/6 + 6*d**2 - 419*d. Find r, given that b(r) = 0.\nAnswer: -1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11035.005047 + 11035. What is x rounded to 4 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)\/x**(-6)*(x\/(x*x**(-1)\/x))\/(x*(x\/(x*x**4))\/x*x))**(-2\/45) assuming x is positive.\nAnswer: x**(-68\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.48436748 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 14 (b) 3221 (c) -1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38557*-26\nAnswer: -1002482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-10))\/(12\/200). Let w = 54 - x. Calculate the remainder when w is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 911*u + 5 - 454*u - 5 - 456*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*l - 4 = 0, -5 = -5*i + 2*l + l. Let t be ((-286)\/(-33))\/(14\/12 - i). Let q be (-39)\/t*-4*(-1)\/42. Is 1 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - -1.26. Let v = u + -1. Which is the smallest value? (a) -4 (b) 3\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) - 60\/(-14). Suppose 1 = 5*t - 2*k + 3, 0 = -j*t - k - 12. Let q(s) = 4*s**2 - 2. Let f(l) = -5*l**2 - l + 2. What is t*f(y) - 3*q(y)?\nAnswer: -2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 2366 = -41*o + 101*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -13*j**6\/30 + j**5\/20 + 2*j**3 - j**2\/2 + 48*j. What is the second derivative of z(d) wrt d?\nAnswer: -156*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 41. Suppose -o = 4*d, -2*c + 4*c - 3*d = 31. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 106422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 5*l. Let o = -12 + 16. Suppose o*r - 3 - 13 = 0. Give n(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 3000 = 17*x. Let n be 0 + x\/(-1 - -5). Let g = 87 + n. Solve 3*s + g = -s + 4*r, 0 = -2*s - r - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 3, h: 1, a: 1, l: 4, n: 2}. Give prob of sequence hp.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 19\/336*l**8 + 2\/5*l**5 + 0 + 0*l**6 + 0*l + 0*l**3 + 0*l**4 + 10*l**2 + 0*l**7. What is the third derivative of y(h) wrt h?\nAnswer: 1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9017677*l**3*p**2 - 12*l**2 - 165*p**2 - 207*p wrt l.\nAnswer: -54106062*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3582293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1181 or -1393?\nAnswer: -1393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.506 + 0.3.\nAnswer: 1.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-780)\/240*112\/12376?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -37*n**2 - 14. Calculate p(-5).\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 201 times 0.068\nAnswer: 13.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3726 and 22979484?\nAnswer: 68938452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 4. Let l be g(2). Let t(q) be the first derivative of -l*q + 7 - 2*q + 3*q**3 - 5 + 4. Find the first derivative of t(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (75\/(-10))\/((-5)\/10). Suppose 71*u - 59*u = 48. Let p = 1 + -1. Solve -35 = -2*z - 5*j, u*z - j = -p*z + t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -439\/4 - -111. Let f be 1\/(1\/(4 + -3)). Find the common denominator of c and (4 - f) + 255\/(-66).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70.5 + -70. Which is the closest to 0? (a) -1\/6 (b) -12 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*y + 3*k + 3, 2 = -2*y - 4*k. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/12)\/(1 - -1) - -84. Let r = z - 82. Solve 16 = 4*o + f, 3*o + 20 = 8*o + r*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, s: 11}. What is prob of sequence rs?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -4\/17, -83, 1\/4, -1\/3 in ascending order.\nAnswer: -83, -13, -5, -1\/3, -4\/17, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*n - 60 - 45 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572 + 3151.951.\nAnswer: 3723.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10668407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from {n: 5, x: 8}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = 2*o + 4, -5*v - 3*o - 5 = 0. Let h = 868226 - 868227. What is the third smallest value in v, -1\/3, -2\/67, h?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 88615*s**2\/3 - 1963021627*s\/3 + 1963287481.\nAnswer: -(s - 3)*(s + 44309)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 161954646 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-95286 + 48598 + 15540)*(3*j - 3*j + j + (2*j - 2 + 2)*(0 + 0 - 2)) to the form v + t*j and give t.\nAnswer: 93444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 8*r + 1. Let o be l(7). Suppose 11*f + 18 = o*f. Let p = -5 - f. Which is the nearest to -1? (a) 2 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h + 2. Let a be m(6). Find the common denominator of 870\/224 - (-24)\/a and -143\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 7*i + 7. Let p be z(-5). Suppose -2*d = -3*x - 10, 3*x + d + 4 = -0. Put x, p, -5 in increasing order.\nAnswer: -5, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 27. Let g be o(6). Let k(f) = -13 + 8 + 14 - f. Let w be k(6). Solve -w*m + 7*m = -4*c, -4*c = -3*m + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -35846*v. Let r(m) = -m. Determine r(q(i)).\nAnswer: 35846*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 2, g: 1}. What is prob of sequence xu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76923804977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 31 = -3*m, 3*k = -k - m + 21. Solve 0 = -7*c + k*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-6))\/(3\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - -3?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 4. Let d = -30 + 32. Let b = -7 - d. Let o = b - -14. Calculate k(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 23943909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -41*w + 36*w - 28*w**2 + 6 + 18*w**2. Let j(v) = 4*v**2. Let b(n) = 2*j(n) + y(n). Let i(k) = -2*k**2 - 6*k + 7. What is 4*b(m) - 3*i(m)?\nAnswer: -2*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4911622975.\nAnswer: 5, 7, 23, 89, 13711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 96 = -3*r + r, r + 3*z = 40. Let n(h) = -264*h**3 + h + 1. Let i be n(-1). Suppose -r = 4*x - i. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 7*h**2 + 4*h - 3. Let m = 10 - 16. Let v be x(m). What is the units digit of (-30)\/v*(-6)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -407717\/165 - -2471. Let n be (-10664)\/602 + 4\/(-14). Let s be 3 + 1 + (-21 - n). Which is bigger: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81652222.9 + -0.0489\nAnswer: -81652222.9489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7310*l - 19128 = 7304*l. What are the prime factors of l?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1026 - 1473. Let r = o + 1816. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 + -117)\/(2\/(-10)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, 148.28, -6\/13 in ascending order.\nAnswer: -6\/13, 0.2, 4, 148.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 86.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.3 + 20. Let g = 0.5 + -0.1. What is the biggest value in g, x, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*i - 32*i - 30*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -5.8. Let h = 138.1 + -145. Let s = h + 7. What is the closest to s in -2, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 23*i**2 - 1042*i - 10406. Determine h(-42).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o. Let u(w) be the second derivative of -w**4\/12 + w**3\/6 - w**2\/2 + 251*w. Let x be u(o). Which is greater: 1\/6 or x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/7 - (64\/14)\/8. Suppose -b = -5*r + x*b + 395, 3*r + 5*b - 203 = 0. Let k = -5 - -24. What is the greatest common factor of k and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82166 + -0.1?\nAnswer: -82166.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(-3)*n)\/n))\/(n*n*n*n*n**4\/n*n))\/(n*n**(-1\/2)*n**(2\/7))*(n\/(n*n\/n**0))**36\/((n**(-6)*n*n)\/(n\/n**(-1\/5))) assuming n is positive.\nAnswer: n**(-2491\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 487.3134 millimeters to centimeters.\nAnswer: 48.73134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.20691 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -9 - (7 - 1)) + -5 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 3*d**3 + 0*d**3 + d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 348 and 0.07.\nAnswer: 348.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwxmwwvwwe. What is prob of picking 1 o and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 e when three letters picked without replacement from pfzppzzzeiie?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14648*k**3 + 29309*k**3 - 14626*k**3 - 126*k.\nAnswer: 35*k**3 - 126*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/210 and 139\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5 - 4, 2*c = 3*g + 21. Let y(s) = 4*s. Let r(a) = a. Let m(f) = g*r(f) + y(f). Let x(u) be the third derivative of u**5\/60 - u**2. Give m(x(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/3, 36\/13, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 3*u**7\/14 + 4*u**3\/3 - 10*u + 13. Let g(c) be the first derivative of r(c). What is the second derivative of g(z) wrt z?\nAnswer: 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242898*l**4 + 1098743 wrt l?\nAnswer: -971592*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -809*g - 365658. Give n(-452).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 l when four letters picked without replacement from {e: 7, w: 8, l: 5}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 7*g**2 + 10*g + 1. Let y be x(-3). Let f(j) = -26*j + 30 + j**2 + 3*j - 2 - 2*j**2. Calculate the remainder when f(y) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 18 = 67. Let b = r - -14. Let j(s) = -5*s**2 + 7*s. Let f(m) = -m**2 + m. Let d(c) = b*f(c) + 5*j(c). Let z(a) = -a**2. Calculate d(z(x)).\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l**2 - 6. What are the prime factors of o(-5)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let q(o) = -98*o**3 - 490*o**2. Determine -q(x) - 490*z(x).\nAnswer: 98*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 259948.5 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 402758 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 2582 (c) 3 (d) -238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y**0)\/(y**(-1\/3)*y\/y**(-2\/5))*(y*y**(1\/4)*y)**(-23)*(y**(-2\/7)\/y)**16 assuming y is positive.\nAnswer: y**(-10181\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15096 and 662408706?\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**3 - d**2 - 3*d. Let a(m) be the second derivative of -9*m**5\/20 + m**4\/4 + 7*m**3\/6 - 14*m. What is -3*a(r) - 7*x(r)?\nAnswer: -r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/1 - -1)*-17. Suppose -5*u = t + 21, -4*t = -4*u + 21 + 39. Let s = t + n. Let m(o) = 2*o - 6. Let r(i) = -1. Give s*m(g) - 4*r(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3687 is divided by 278.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*a + 8 = 0, -a + 94 - 86 = m. Solve -3*i + 3*c = -3, 53*c = 4*i + 52*c - m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.32? (a) 1 (b) -0.1 (c) -4 (d) 0.2 (e) 19.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/8 and (3\/26)\/((-4)\/96).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(2 + ((-4*sqrt(567) - sqrt(567)) + 1)**2).\nAnswer: -14178 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11*a + 224. Let p be s(20). Let t = 4 - -2. Suppose 4*u = u + t. Solve u = 2*h - p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1764 and 43548?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100001 (base 2) to base 13.\nAnswer: 2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 5, -7, -27, -55, -91, -135?\n\"Answer: -4*s**2 + 8*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3917447 to the power of 1\/2, to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f**2 - 5*f - 5. Let l(x) = 5*x**2 + 3*x + 2. Let t(m) = -9*m - 11. Let b be t(-1). Give b*i(d) - 5*l(d).\nAnswer: -3*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37632.99 months?\nAnswer: 313.60825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 6.7. Suppose 123*u = -150*u - 45*u + 1590. What is the third smallest value in u, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 1)\/(4\/212). Suppose 5*v + 26 = c. Calculate the least common multiple of 8 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) -3 (c) 0.4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 less than 791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0*m - 26. Solve w - m = 5*f, 3*f + 4*w - 6*w = -17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2 = 5*r - 1, 667*r - 162*r = -k + 3*k + 1521 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 8*v + 1. Let n be p(-4). Let y(w) = -5*w**3. Calculate y(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than -359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1477690 at most as big as -1477690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*b - 52*b - 5*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 747, 1399, 2223?\nAnswer: 3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (9 - 4) - -1 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 + 7*u + 1. Let z be s(5). Let i = 64 + z. Let a = i + -12. What is the highest common factor of 78 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0162139865 rounded to 4 decimal places?\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8753.\nAnswer: 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90461 is divided by 15060.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 10:45 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/35)\/((-2)\/(-7)). Let x be f*(-3)\/6*4. Let b(a) = a**3 + 4*a**2 - 3*a - 6. Give b(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.248114 - 138.2739?\nAnswer: -138.025786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/18)\/((-2)\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-1224))\/(23\/(-184))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -115 (b) -3\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18001, -2\/9, 0, 0.4, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Let u be (1 + -1)\/(-2)*r. Let c be (-7 + -2)*(-2 - -1). Solve u = -2*b + 1 + c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 + 5*j + 6. What is the units digit of s(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3 = -h. Suppose -n - h*n = -60. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429 + 64*j + 6*j + 31*j + 429.\nAnswer: 101*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.602018 + 0.6. What is z rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206 - 206.00000509. What is r rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 483, 915, 1347, 1779?\n\"Answer: 432*b + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*b + 4*b + 140 = 0, -2*w = 4*b + 44. Let i = w - -35. What is the derivative of u**4 - 5*u**4 + 17 - i wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 4*v**2 - 2*v**2. Let w(p) = p. Suppose -4*x - 22 - 62 = 0. Let h(o) = -9*o. Let f(n) = x*w(n) - 2*h(n). Calculate t(f(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 2*w + 2 + 2 + 5 + 35*w**3 + 4 in the form n*w**3 + y*w + f + i*w**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -550676.\nAnswer: -1\/550676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n + 25. Suppose 4*w = -j - j - 4, n*j + 10 = 2*w. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 13670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*6 - (-181)\/(9955\/330).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02551? (a) -0.01 (b) -1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*w = -3 - 12, -2*n = -2*w - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/7*d - 2\/7*d**2 + 36\/7.\nAnswer: -2*(d - 1)*(d + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -37?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 + 10 = -4*i, i - 3*h = -7. Let m = 0 - i. Suppose -5*d + 55 = m*u, 3*u - 4*d - 21 = -d. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/25 + 8\/20. Let f(l) be the second derivative of l**3\/2 - l**2\/2 - l. Calculate f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4836 + 404*w**2 - 4836)*(3 + 2*w - 3).\nAnswer: 808*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 (base 6) in base 13?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13757.64 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56840 = 36*f - f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*m = -16 + 532, -136 = -g + 4*m. Does 16 divide 60\/8*g\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190679927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(26)\/sqrt(2))*6 + (sqrt(91)\/(sqrt(7) + sqrt(14)\/sqrt(2)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-619)\/105 - 484\/(-5082) - (-6 - -3)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 24 = 10*u. Let y(k) = 4*k**2 + 28*k - 100. Let w(i) = -i**2 - 5*i + 20. Let v(z) = u*y(z) + 14*w(z). Let v(f) = 0. What is f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 884 + -897. Put -4, c, 3\/5, -1 in increasing order.\nAnswer: c, -4, -1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 260 = -2*v + 3*n, 2*n = -v + 126. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1336 - -1341. Let i = 1.3 - 1. What is the smallest value in i, j, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 13*l**2 + 39*l - 253. Determine r(12).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 34*j = 44. Let k(w) = -15*w - 11. Let i(u) = -8*u - 6. What is j*i(m) - 6*k(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9559 divided by 16\nAnswer: -9559\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*u - d, -2*d = -0*u - 5*u + 60. Suppose -14*l + 450 = -4*l. Suppose -30*v = -25*v - l. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552, -2447, -5684, -10263?\nAnswer: -16184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by -99.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 54510786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04216 - -368.66216. Let d = 336 - b. Round d to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 201293.\nAnswer: -14\/201293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 69461302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*t - 13 - 3, -14 = c - 4*t. Let u(f) = f**2 + 9*f + 21. Let p be u(-6). Factor 5 - c*k + 2 - 3 + p*k**2 - k**2.\nAnswer: 2*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1017 + 1555. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 384*g**2 - 56*g**3 + 29*g**4 + 32 - 37*g - 127*g**4 + 261*g = 0. What is g?\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n + 16 = 39*n. Suppose 11*m = n + 62. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -282.1? (a) -0.3 (b) 0.06 (c) -2 (d) 9 (e) 2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnhonbhobnhnoo. What is prob of picking 1 n and 3 h?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62.28868192 - 64.388682. Let w = 2.1 + o. Round w to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -38. Let g(j) = 93 + x*j + 5*j - 83. Does 27 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -629 + 629. Let z = -0.412 + 0.012. Put -0.3, n, z in descending order.\nAnswer: n, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*z - 2046*i + 2042*i, 6*z - 5*i = 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-6) - (5 + (-10310)\/15).\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -331d1 - 95?\nAnswer: -33276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 + 31)*(-39)\/(-26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -6. Let b(j) = j**3 - 3*j**2 - 6*j + 4. Let i be b(4). Put v, 0, i in ascending order.\nAnswer: i, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0 + 72 = 0. Suppose 27*q**3 + 3*q**5 - n*q**4 - 54*q**2 + 54*q**2 = 0. What is q?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4895884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*g + 12, b - 4*g + 0*g - 6 = 0. Calculate the smallest common multiple of b and 8*(-9)\/15*(-60)\/48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 845.4 - 837.4. Let m(r) = -r - 3. Let x be m(-3). Which is the closest to u? (a) 4 (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 161 - 614. List the prime factors of g.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -14 + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3900 = -27*z - 1443. What is the remainder when 3638 is divided by z?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112701*n + 30 - 52 + 22.\nAnswer: 112701*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19603805639 less than -0.1861?\nAnswer: 19603805638.8139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 239*v**2 - 66*v - 229. What are the prime factors of u(-16)?\nAnswer: 62011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -86672867801.\nAnswer: -86672867798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-64998)\/(-5) + 10\/25. Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let b(f) = 8*f - 1. Let r(z) = -b(z) + 2*k(z). Differentiate r(c) wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 336*n**4 + 1328*n**3 + 52596*n**2 + 161874*n - 215460 = 0.\nAnswer: -171, -7, -6, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 + (4 - 6 - 7)*((2 - 5 + 2)*(4 - 5 + 3) + 26 - 13 - 8))*(2*p - 2*p + 2*p**4).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:37 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6951286ml?\nAnswer: 0.0006951286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009293036 a multiple of 1491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0826 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.7, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:03 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 13, 31, 57, 91?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e05 + -6?\nAnswer: -e0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 25 = 2*t, -2*s + 2*t + 60 - 10 = 0. Suppose -s = -5*g + 10. Solve -8 = -3*u - 5*k + g, -u + 2*k - 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlw when three letters picked without replacement from wwwwkwwwvvkwwlwwlwlk.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1898, -3977, -6056, -8135, -10214?\nAnswer: -12293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 16*j**2 + 7*j + 8. What are the prime factors of l(-17)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1132300 (base 4) to base 8.\nAnswer: -13660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 16 = 15*u - 16*u, 3*u = -2*z + 31. Let s(w) = 71*w - 253. Does 22 divide s(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124703 <= -126326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 361*j - 2524. Determine c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 199579.2 millilitres?\nAnswer: 199.5792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3051 + -2?\nAnswer: -3053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m**4 + 42*m**4 - 19*m**4)*((0 - 1 + 0)*(3 + 0 - 4) - 4 + 2 - 17).\nAnswer: -180*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o + 55. Let m be (-1 - 1)\/(5\/28). Let i = o - m. Is -1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*o = 3*d + 4*o - 5, 26 - 30 = o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3374 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12885 - 4070. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*b. Let h = 7 - b. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2849, -2848, -2849, -2852?\nAnswer: -2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 150021 - 70581731?\nAnswer: -70431710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjji when four letters picked without replacement from {j: 6, i: 13}?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 11:41 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g + 4 = 5*w, 1 = 5*w - 2*g. What is the tens digit of (-10)\/20*78\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*m**4 - 15904*m**3 + 992004*m**2 - 493024*m + 61504.\nAnswer: 4*(m - 124)**2*(4*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102703\/131 + 784. Suppose 114171 = -66*p + 114105. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -902, 25831 in ascending order.\nAnswer: -902, 4, 25831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193 - 191. Suppose -109 + 159 = y*l. Which is smaller: l or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/((-8)\/142))\/(-100). Let h = 12\/25 - d. Factor 0*v**2 + 0 + 0*v + h*v**5 + 1\/4*v**4 + 1\/8*v**3.\nAnswer: v**3*(v + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = 225*p + 240 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**4 + 2*q**3 - 3*q**2 - 13*q - 4. Let b(n) = -n**4 + n**2 - n. Let l = 26 - 24. Let w(d) = l*y(d) - 6*b(d). Factor w(t).\nAnswer: 4*(t - 2)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24076 = 453*r - 36173 for r.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1110\/(-259)*(-28)\/(-8)*(-22)\/(-55).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*g = -155*g + 120. Solve 0 = -g*h - h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188 - 5008 + 223 + 4*y**2 - 5*y**2 to the form h + j*y**2 + r*y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 29. Let d be (-4)\/(6 - 26) + 29\/5. Suppose 2*w - 5*w - d = -3*f, 0 = 3*f - 2*w - 9. Solve 1 + p = f*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*f*k**2 - 245*f*k + 1471502*k**2 + 229296*k wrt k?\nAnswer: 112*f + 2943004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 329458 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (17\/24)\/((-186)\/620) and -13\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151.016 + -0.516. Let k = h + -260. Let f = k - -77. What is f rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 427*y**2 - 8*y + 7. Let o be w(1). Let j = -180 + o. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3 + 141*k**2 + 45*k + 3?\nAnswer: 12*k + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m**2 - 7*m. Let n(y) = y - 3*y - 4*y**2 - 54 + 54. Let z = 19 - 12. Let q = -6 - -4. Determine q*b(g) + z*n(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 127804828.\nAnswer: 127804836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/(u\/u**2))*u*u*u)\/(u**(-3)\/u))\/(u**(-2)\/u*(u**7*u*u)\/u*u))**15)**(-32) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4 + 205*m**3 - 5846*m**2 + 36960*m = 0 for m.\nAnswer: -231, 0, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9647.8912 + -9646. What is p rounded to two dps?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -599 - -8?\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14898178 divided by -14898178\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25.95273 centuries?\nAnswer: 31143.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.256 - -7.744. Suppose 3 = -p - 0. Let s = -2 - p. Which is the smallest value? (a) s (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(96\/42 - 2). What is the closest to -1\/2 in z, 2\/7, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - y + 2 - 3)*(-20*y - 50*y - 12*y) to the form w*y + m + h*y**2 and give w.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/14*42\/24.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:15 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 8:48 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 1:51 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1976384*k - 1976384*k - 8*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -88, -176, -264, -352?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 195000 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - ((sqrt(495) - -1*sqrt(495))\/sqrt(11) - sqrt(45)))\/(sqrt(9) - (sqrt(90)\/(sqrt(50)\/sqrt(5)) + sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103\/572 + 137\/3432. Calculate the common denominator of p and -71\/165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -246, -742, -1774, -3522, -6166, -9886, -14862?\nAnswer: -21274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 + -121. What is the closest to 8 in 1\/4, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-18) + (-1399)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 9*y**2 + 9*y**2 - 7*y**3 + 4*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1165 + -1164. What is the second biggest value in z, 1\/2, 2, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 5)\/(-84) - 0. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5508*k = -1415*k + 245580 for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011 (base 2) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6799 is divided by 6600?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c + 3*c**2 - c**2)*(-41*c - 159*c + 5 + 10*c).\nAnswer: -380*c**3 - 370*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*20\/((-51)\/(51\/(-8)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77273115.\nAnswer: 3, 5, 5151541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/821990 and 29.\nAnswer: 821990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/678002 and -99\/37632920.\nAnswer: 3349329880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 21740*o - 978280. Calculate t(45).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5 + 224922*a**4 + 6294769476*a**3 - 1628943805564*a**2 + 104079605723322*a + 105714844073442 = 0.\nAnswer: -56359, -1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5))**(27\/2)\/(r**2*r*r**(-7)) assuming r is positive.\nAnswer: r**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 30*l = -8. Suppose 0 = -l*j + 31 + 107. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -902, -3079, -7324, -14327, -24778, -39367?\nAnswer: -58784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**4 + 4*y**2 - y**4 + 0*y**4 wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*p + 94*p = 222*p - 729 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75011*m**4 + 23446*m**2?\nAnswer: 1800264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*i + 26, -2*n - 3*n + 4*i = -19. Let x = 21 + -10. Suppose -w + 4 = 0, -x = 5*g - w - 3*w. Solve n = -2*y + g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**4 - z**3 - z**2. Let p(k) = -41*k**4 + k**3 + 2. Let h = 155 + -156. Let o(q) = h*p(q) - i(q). What is the third derivative of o(d) wrt d?\nAnswer: 960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1 - -5)\/2)\/1. Let m = w - -11. What is the remainder when 27 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*g*n**3*r + 32*g*n**3 - 9*g*n**2*r + 183*g*n*r - 329*g*r - 23*n**3*r + n**3 + 5*r wrt n?\nAnswer: 288*g*r + 192*g - 138*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-238)\/16 + 7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.89 + 16. Let y = c - 6.11. Let h = 5.99996 + y. Round h to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 119, 4, 3 in descending order.\nAnswer: 119, 4, 3, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4\/4 - 8*h**3\/3 - 9*h**2\/2 + 2*h + 2. Let b be i(-7). Solve 0 = -4*p + b + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Suppose 3*g + 62 = b*g. Let t be (g + -1 + 0)*1. Calculate the highest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3)\/(1 - -2))*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + 5 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5132\/11 or 466?\nAnswer: 5132\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -948*t**3 + 34174*t + 8226541 wrt t?\nAnswer: -2844*t**2 + 34174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.611006 months to centuries.\nAnswer: 0.001342505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/(((-280)\/(-1806))\/(-1)) + 3\/(-15).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 2:05 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 133632040 divided by 2936?\nAnswer: 45515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -24. What is the remainder when k is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7639 + 7658. Let h be 12\/(-2) + (-1 - -1). What is the remainder when (-20)\/h*(-54)\/(-6) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 2)*(-1 + 2955*w**2 - 188*w**2 + 1) to u*w**2 + x*w + l and give u.\nAnswer: -8301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g**3 - 6*g + 62*g - 12*g**3 as d*g + i*g**3 + b*g**2 + k and give d.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 + 246*d**3 + 504*d**2 = 0. What is d?\nAnswer: -2, 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:41 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3178976 and -47\/40.\nAnswer: 15894880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 69515 + -2*(-40)\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/23))\/r*r**(-15))**(-32) assuming r is positive.\nAnswer: r**(11104\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -55, -94, -139, -184, -223?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1539 and -45\/152?\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 290\/90 - (-40)\/18. Let o(m) = -426 + 2*m**2 + 3*m**2 - z*m + 422 - 8*m**2. Let g(d) = -1. What is -4*g(i) + o(i)?\nAnswer: -3*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84923142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o**3 + 0*o**2 - 20*o + 20 + 25\/4*o**4. What is the derivative of t(c) wrt c?\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u - 4. Let k be h(-4). Let t = 19 - k. Factor -3\/2*q + 3\/2*q**4 - 1\/2 + q**t - q**2 + 1\/2*q**5.\nAnswer: (q - 1)*(q + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*k = 12, -m - 4*k + 16 = -k. Put m, -5\/8, 0.4 in ascending order.\nAnswer: -5\/8, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/127163, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/6*(-39)\/130. Let p(c) be the third derivative of 1\/10*c**5 + j*c**4 + 1\/3*c**3 + 0*c + 1\/60*c**6 + 0 + 2*c**2. Factor p(h).\nAnswer: 2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104144 is divided by 63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0477898013 rounded to 5 dps?\nAnswer: -0.04779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -141, 56 in decreasing order.\nAnswer: 56, 2, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -309463.674 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2691 - 2259 + 1713 = -249*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + s = -3 - 18, -3*s = 2*y + 47. Let i(d) = -d**3 + 8*d**2 - 6 + 25 + 10*d - 26*d - 25*d**2. Is i(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -0.4, -9\/23, -776, -0.1, 2, 0.16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0.06694, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 + 10*h**2 - 17914*h**4 - h - 7*h**2 + 17928*h**4 + h**3 to i*h**4 + d*h**2 + p + z*h**3 + o*h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7690547 micrometers to meters.\nAnswer: 0.0000007690547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-2)\/(3\/3). Let u be 3\/(-9) - 5\/3. Let s be (u + (-1)\/(-2))\/3. Which is the closest to i? (a) s (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/18)\/(1\/(-18)))\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 107 + 0*n - 3*n - 50 - 49. Let d be 45\/(-6) + (-3)\/(-6). Let t(h) be the third derivative of h**4\/6 - 3*h**3\/2 - h**2. What is d*s(l) - 6*t(l)?\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a = 0. Suppose -3*u - 14 = -5*w, a*u - w = -u - 2. Suppose 5*j + 15 = u*j. Put -3, j, 4 in decreasing order.\nAnswer: 4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.187 - -0.013. Let d = o + -10. Let i = 0.5 + d. Which is the third biggest value? (a) i (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30796 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let u(o) = 17*o - o**2 - 11*o + 2 + 0*o**y - 12*o. Suppose 0 = 3*l + 2*x + 5 + 3, -3*l + 2*x = 28. What is u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -55 + 13 - (-9 - -1)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*r, 6*k = 2*r + 10*k + 14. Let o(g) = 2*g**2 + g + 3. What is o(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 13 = -2*t, 2*i + 3*i - 153 + 134 = 2*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18933 - 94663\/5. Which is the nearest to n? (a) -3 (b) -3\/4 (c) -19 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/90*9*6. Suppose 2*c - 1310 = 2*h, -2625 = -10*c + 6*c + s*h. Calculate the greatest common factor of 88 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -2*5\/((-40)\/148)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) - (sqrt(77)*2*-4 - sqrt(77)))*-4)\/(4*sqrt(4032)*1).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.90748 micrograms to milligrams.\nAnswer: 0.03690748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -d - r + 7, 3 = r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*4\/12*3*0. Which is bigger: h or 2\/491?\nAnswer: 2\/491","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 2. Let n be (9\/2)\/(2\/(-4)). List the prime factors of m(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + (27 + (25 - 17) - 13)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*418\/154 - 31. Let q(o) = o**3 + 14*o**2 + 18*o - 77. Determine q(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ewumueeuuueuum.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5821 - (3 - (-26)\/(-13)).\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1917*s + 1605*s + 138751 - 391461 = 107*s for s.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11672692 to the power of 1\/2, to the nearest integer?\nAnswer: 3417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36978, 36977, 36976, 36975, 36974?\n\"Answer: -t + 36979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4152859980.\nAnswer: 2, 3, 5, 463, 149491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4930 divided by -34?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -84 + 93. Let r be i\/(-6)*(7 + 3). Solve r*u = -4*b + 5, 0 = -u - 3*b + 2*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -71, 939, -47, -5 in decreasing order.\nAnswer: 939, -1, -5, -47, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i = -90*i + 63. Suppose 0 = i*d - 0*d - 324. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 5*c**2 + 9. Let z be o(-5). Suppose 99 = z*l - 0*l. Calculate the greatest common divisor of l and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210394, -210382, -210370?\nAnswer: -210358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -202111?\nAnswer: -202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l + 8. Let k be j(-7). Let m = -42 + k. Suppose 0 = -2*d - g - 2*g + 14, -g = 5*d - m. Solve 5*v + 2*t = -25, 0*t - d*t = v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259892 + 0.1\nAnswer: -259891.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -11*q**3 - 188*q**2 + 17*q - 133. What is the ten thousands digit of a(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 9*k - 6*k - 4*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 1686*l + 2. Let g(j) = 77*j**2. Give q(g(d)).\nAnswer: -5929*d**4 + 129822*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 2*w + 10*w - 16*w + 9*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (8 - 9) - -12) + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 7*v + 3. Let g(i) = i**2 + 7*i + 2. Let t(m) = -4*g(m) + 5*k(m). Let c be t(-7). Are c and 7 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -1. Let y = 42 - z. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423705 is divided by 302.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 e when three letters picked without replacement from {b: 1, m: 1, e: 2, g: 3, o: 6}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-7 - 3179\/(-51))\/((-3441)\/3447 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48\/235 - -314\/3525. Let h = -1\/25 - u. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 12cf?\nAnswer: -12d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -16 + -1 + 58 + -12. Solve 0 = -339*y + 348*y - n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13502, 107758, 363440, 861212, 1681738, 2905682?\n\"Answer: 13444*z**3 + 49*z**2 + z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2348619 and 20\/7007.\nAnswer: 25834809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44838.96 centuries?\nAnswer: 53806752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - f - 2*f + 6*f. Let j(s) be the third derivative of -s**5\/20 - s**4\/6 + 13*s**2. Determine -4*j(o) - 5*k(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(475))**2 + sqrt(475).\nAnswer: 5*sqrt(19) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**3 + 5*u**3 - u**3)*(-u - 4 + 9 - 2) in the form z*u**3 + p + w*u**2 + m*u + a*u**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -18. Calculate the remainder when x is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 12 = -0*w - 2*w, -5*l = 4*w - 30. Let y be l\/(5 - 2) + -1. What is the units digit of y\/2*(5 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -18*p**2 - 6*p + 5. Let o(y) = -14*y**2 - 5*y + 3. Let a(w) = 3*b(w) - 4*o(w). Let r be -3*(33\/9 - 3). Calculate a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - 2*sqrt(78))*5 - (sqrt(78)*2*5 - sqrt(78)))\/(sqrt(30)\/(sqrt(80) - (sqrt(80) - (-1*sqrt(80) - sqrt(80))))).\nAnswer: 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mki when three letters picked without replacement from {e: 3, h: 1, i: 3, m: 1, y: 2, k: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -417.\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-696)\/(-18)*3\/(-2). Let r = -32 - v. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 divided by -13?\nAnswer: 249\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 + (1 - (3 - 0)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-10)*10*(-12)\/30. Let f(y) be the first derivative of 3\/8*y**2 + u + 0*y + 1\/12*y**3. Factor f(t).\nAnswer: t*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001\/(-1*(-4)\/10 + 102\/(-510)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 10*r + 0*r)*(-4*r**2 + 9592*r + 11*r**4 - 9597*r + 3*r**4).\nAnswer: -196*r**5 + 56*r**3 + 70*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 + 3. Let w = 177 - m. Let x = -41 + w. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/4 + 4461*u**3 + 39809963*u**2\/2 + 39796581*u + 79584241\/4 = 0. What is u?\nAnswer: -8921, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 462, 4, -2, -19 in decreasing order.\nAnswer: 462, 30, 4, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701 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 o be 6\/45*6 - 24930\/(-25). Suppose 2*h + 2*w = 3*h - 479, 0 = 2*h + 4*w - o. What are the prime factors of h?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -40.61, -0.56.\nAnswer: -40.61, -0.56, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10011010111111?\nAnswer: 10011010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = -33*q + 1913 - 98. What is the highest common factor of 276 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1475743, -1475879, -1476113, -1476451, -1476899?\n\"Answer: -b**3 - 43*b**2 - 1475699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151 or -274170\/1819?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -18, -62, -134, -240, -386, -578?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Let k = 10 + -1. Suppose 0 = -5*j - k + 24. Solve 3 = -3*i + j*l, 5*i - 5*l - 5 = -u*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2213 + 42.7213. Let b = 40.066 - 0.066. Let r = b - x. Round r to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 19 = 89. Suppose -4 + 16 = 3*q. Is 14\/q*(z + -12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 11*a = -4*s + 40, -4*a = -2*s - 6. What is the greatest common factor of 988 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2577 = -9*y + 384. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 298870628 and 682.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = -3*j + 34. Solve 1 = -3*h - 6*n + 2*n, 5*n + 30 = j*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*r + 20*r + 16701. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219 - -145. Let p = 92.7 + v. Let a = 19 - p. What is the closest to 2 in 5, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1484, -1558, -1678, -1844, -2056, -2314?\nAnswer: -2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 519949 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 3*q**6\/40 + 4*q**5\/5 + 17*q**4\/8 + 2*q**3 - 5*q**2. What is i in u(i) = 0?\nAnswer: -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.69 rounded to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 16*t**2 + t - 12. Let n be r(16). Solve -3*g - 2 - n = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + 110020011111?\nAnswer: 110020012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1897+1\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9746 >= -27\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -27, 7, -12 in decreasing order.\nAnswer: 7, 3, -12, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27798602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1853 plus -4?\nAnswer: -9.1853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*j**5 + 0*j**5 - j**5 + (-3*j + 3*j + 2*j**2)*(0 + 0 + 2*j**3) - j**4 + 4*j**5 + j**4 + (-j**5 - j**3 + j**3)*(0 + 4 - 3).\nAnswer: 16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90, -93, -96, -99, -102, -105?\n\"Answer: -3*l - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 644579302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43511 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27800.2 litres to millilitres.\nAnswer: 27800200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/8 + -6 + (-216)\/(-32) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 198, 471, 744?\n\"Answer: 273*j - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*w**4 - 570*w**2 + 312?\nAnswer: 8*w**3 - 1140*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97 - 6*z + 97)*((-1 - 1 + 4)*(1 - 2 + 2) + 3 + 0 - 1)*(3 + 2 - 6)*(3*z - 4*z + 3*z) in the form c*z**2 + q*z + i and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 446.31 - 450. What is q rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + p - 54, -3*a + 2*p = -10 - 12. Let z(s) = -2*s + 10. Let t be z(0). What is the greatest common divisor of t and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 486*k**3 + 16404*k**2 - 279270*k - 295191.\nAnswer: 3*(k - 13)*(k + 1)*(k + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 521183 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*k - 665. What is the remainder when k is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*v = -0*v + 5, 2*f + 4*v - 14 = 0. Let x = 2 - 8\/5. Which is the second biggest value? (a) 0.3 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2186 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 22*a - 135. Calculate r(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let i(w) = -4*w**3 - 2*w**2 + 6*w - 5. Give i(n) + 5*r(n).\nAnswer: -4*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -141 - 2*z + 2*z**2 - 142 + 267 + (-24 + 24 - 6*z)*(-13 - 2*z + 13) as d*z**2 + c + t*z and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*4)\/(sqrt(9) + 1*sqrt(225)) - (sqrt(891) + -3 + sqrt(891) - sqrt(33)\/(sqrt(6)\/sqrt(2))).\nAnswer: -49*sqrt(11)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 8*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -481399 * -1.2\nAnswer: 577678.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924 = -157*u + 241*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -19*h**3 - 665*h**2 - 2687*h + 3. What is j(-4)?\nAnswer: 1327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7200 divided by -92\nAnswer: 1800\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 - 315 = -13*p - 134 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148.5 - 149. Sort 5\/2, j, 0, 3 in decreasing order.\nAnswer: 3, 5\/2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18368345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-9\/2))\/d)\/d)\/d*d*d**(8\/7)*d)\/((d\/(d*d**(-14)))\/d**(2\/15)) assuming d is positive.\nAnswer: d**(-1727\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18688 is divided by 93.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*5*1 - sqrt(7)*-3*-4 - ((3 + sqrt(567) + 3*sqrt(567) + sqrt(567))*-3)**2)*1.\nAnswer: -127656 - 2437*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 5*d**2 + 8*d - 9. Let k be b(6). Let j(t) = -401*t - 5207. Let f be j(-13). Solve v + 1 = 5*g, 3*g + f = 3*v - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2617560*d**2 + 1308649*d**2 + 1308882*d**2.\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 197*z**2 + 4755*z\/4 + 3573\/2.\nAnswer: -(z - 794)*(z + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/(-7644))\/((-5)\/8).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 182*c**2 + 6*c + 3. Let s = -272 - -270. What are the prime factors of z(s)?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 - 16 - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -20. What is the greatest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -27 + 10 + 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let i(u) = -10496297*u. Give i(w(b)).\nAnswer: 10496297*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3104 by -1552.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (365*x - 1176*x + 556*x + (-2 + 4 - 1)*(6*x + 0*x - 2*x))*(3 - 2 + 0).\nAnswer: -251*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -11, 5, 2\/13, 4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -50. Put f, 4\/7, 1\/5 in ascending order.\nAnswer: f, 1\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 + 5*m + 1. Let w(o) = 6*o**2 - 2. Calculate h(l) - w(l).\nAnswer: -2*l**2 + 5*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363588, 363582, 363576, 363570, 363564, 363558?\nAnswer: 363552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67402813 or -67402812?\nAnswer: -67402813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -233 and 107.\nAnswer: -24931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28129328207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 418 + -419 - -2*1\/(-3). What is the fourth smallest value in -3, d, 0.0518, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0607*4\nAnswer: -0.2428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 12*y - 1. What is the remainder when 21 is divided by r(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/33 - 103\/11. Let i = s + 10. Factor 0 + 2\/3*z + 2\/3*z**2 - i*z**3 - 2\/3*z**4.\nAnswer: -2*z*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 3*z**2 - 2 + 0*z**2 + z. Let t be q(2). What is the third derivative of -8*l**2 - 7*l**4 + 0*l**4 + 3*l**t + 3*l**2 wrt l?\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 474, 1013, 1552, 2091, 2630?\n\"Answer: 539*b - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 279*t + 7067. Give l(-28).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*28\/84*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -370*k - 426*k - 18*k + 3256 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 45 = -3*g, -4*h + 128*g = 132*g - 28 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28550 = 5*d - f, -2*d - 2*f - 28550 = -7*d. What is the greatest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -736.3 - -740.541. Let l = 1.19 + -1.231. Let c = i + l. What is c rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0*o**3 + 0 - 3*o + 0*o**4 - 1\/10*o**5 + o**2. Differentiate w(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, 8, 89, 0, -2 in increasing order.\nAnswer: -2, 0, 2, 8, 14, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, 840, 3423, 8596, 17223, 30168, 48295, 72468?\n\"Answer: 144*y**3 - y**2 - 148*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*z + 891*z = -10*j, -145 = -5*z + 4*j for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/9 + 11924*q**4\/9 + 11936*q**3\/3 - 107380*q**2\/9 + 59650*q\/9 = 0.\nAnswer: -5, 0, 1, 5965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32457, -63607, -94755, -125901?\nAnswer: -157045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 2*h**4 + 3*h + 0*h - h**2 + h + h**3 to the form f*h**3 + x*h**4 + p*h**2 + d*h + y and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 4*d**2 + 4*d - 6. Let j(m) = 4*m**3 + 7*m**2 + 7*m - 11. Determine -4*j(a) + 7*w(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 + 51*m - 361. What is l(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1811.5 - 1811. What is the closest to 1 in 2\/3, -0.085, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0485098 months in decades?\nAnswer: 0.017070915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-6) + 4 + (-16 - -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 44. Calculate the least common multiple of 16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/29)\/l*l)\/(l*l*l**(-1\/5))*(l**(-3\/4))**(3\/11) assuming l is positive.\nAnswer: l**(-12349\/6380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -1, 199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(7*9\/(-945))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -0.54. Let z = -0.4 - x. Let o = 3\/34 - -4\/51. Which is the third biggest value? (a) z (b) -2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -14*g**5\/5 - 116*g**4\/5 + 248*g**3\/5 + 16*g**2 = 0?\nAnswer: -10, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66061\/10 - 6604. What is the closest to 1 in 7, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 332 = v - 49, 4*f + 2*v - 578 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 0 + (-12 - (-21 + 17)) - -10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11442270 and 14?\nAnswer: 11442270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6934512271.\nAnswer: 2657, 2609903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**5)))\/s*s\/(s\/s**(-9\/4)*s)*s\/(s*s**(1\/14)\/s)*s*s**(-3\/5) assuming s is positive.\nAnswer: s**(-969\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53*(-390)\/4134)\/(2\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffhfhfhhchfftfcch. What is prob of picking 1 f and 1 c?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewuueeeeuueeeuueee. What is prob of sequence eeue?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {t: 11, m: 9}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvvvtuvtuvuvv. Give prob of picking 2 t and 1 v.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4697775115 minus -154?\nAnswer: -4697774961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80810670?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 3*g**3 + 0*g + (1 - g - 1)*(-g**2 - g + g) + 6*g**3 - 5*g**3 - 5*g**3 - g**3 + 4*g - 2*g + 2*g**3.\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 + 8*v**3 + 523*v**2\/4 + 1477*v\/4 + 153 = 0. Calculate v.\nAnswer: -9\/2, -4, -1\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*p + 14 - 25, 0 = -7*p - 2*s + 37 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let o(r) = r**3 - 4*r**2 + 2*r. Let l(m) = -m**3 - m**2 + m. Let n(w) = d*l(w) - o(w). Find the third derivative of n(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202 - 204460?\nAnswer: -204662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.2 * -214108.\nAnswer: 1969793.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77623 is divided by 38795?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 686667.273179 and 3.\nAnswer: 686670.273179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -0.334 (c) 3\/4 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 + 16. Let t(x) = 3*x**2. Calculate s(t(q)).\nAnswer: 63*q**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 16 = -10*x + 5*x, -3*x + 16 = 2*c. Find y, given that -25*y + 20*y**3 + 1 - 35*y**3 + 35*y**c + 4 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(11\/3))*v)**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -57 (c) -1\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -1.191, 2\/9, 125\/3?\nAnswer: 125\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*j + j + 8, -5*m - 16 = -2*j. Let l be ((-3)\/2)\/(j\/(-6)). Let r = 6 + -4. Solve r*a + 5 = -l*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 831*x - 832*x + 1 + 1. What is z(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9496, -9561, -9626, -9691, -9756?\nAnswer: -9821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 6*i + 63. Determine j(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -289af9 (base 16) to base 15.\nAnswer: -378728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 377 and 0.0876?\nAnswer: 376.9124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512 + 5*n - 11*n + 21*n - 5*n - 7*n.\nAnswer: 3*n + 512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2596.00393 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36984070 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**5)\/x)\/x**3*x**(-13)*x**(-11))**(-34) assuming x is positive.\nAnswer: x**748","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167.96 + -165. Let c = 9 - 9.16. Let o = d + c. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 1, e: 4, x: 2}. Give prob of sequence yx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 12*g. Suppose -m = 7 - 17. Suppose -2*w - 5*h = -m*h - 27, 3*w - 4*h = 30. Determine p(w).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/3 - 4996*v**3 + 800338*v**2\/3 + 895204*v - 8452640\/3 = 0.\nAnswer: -7547, -5, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -26?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x**3 - 3 - 40*x**3 + 9*x**3 + 13*x**3 + 16*x**2 - x**4 as a + q*x**4 + g*x**2 + o*x**3 + w*x and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i = -4*f + 23*i + 1, 1 = -5*f + i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -22*f**3 + 5*f**2 + 10*f - 26. Let h(a) = -3*a - 13. Let s be h(-7). Let k be l(s). What is k rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 304\/195 + -22\/13. Let z = 5 + -6. Which is bigger: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -430*v**5 + 784*v**2?\nAnswer: -25800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1917898181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 r when four letters picked without replacement from zrzzzrr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = d + 4*q, -q + 1 = 54*d - 56*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.081 - 0.581. Which is the fourth smallest value? (a) 1 (b) -1 (c) -2\/33 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1505090 and -52\/25.\nAnswer: 7525450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 20, -2*t + p + 1 = 2*p. Let o = 2 - t. List the prime factors of (o - (-13 + 2)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 30*s + 21. Give n(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*f - 777 - 1376 = -1370 + 2397 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 283105 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(170)*-1*-3)\/(4*sqrt(40)))**2.\nAnswer: 473\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282106 is divided by 868.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + 2*a**4 + a + 3*a**3 - a**2 + 6 - 4*a**2 + 2*a**2 + a**2 as v*a + l*a**2 + i*a**3 + t*a**4 + w and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 11 - 6. Let i(h) = 3*h - 6. Let s(a) = 4*a - 9. Let v(l) = -7*i(l) + 5*s(l). Let f be v(n). Solve -4*z - f = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 11*z**2 + 1815*z + 20017. Calculate w(-11).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41449497 divided by 3?\nAnswer: -13816499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132834621.\nAnswer: 1811, 1177711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - d**2 - 3*d - 4. Let t be -2 + 0 + 1\/((-6)\/(-30)). Give v(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + 12?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2138403*u**2 - 15*u. Let m be d(-5). Round m to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 2*i**2 - 4*i - 8. Let d be -7 - ((-6)\/9 - (-14)\/(-6)). Let g be y(d). Calculate the greatest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20339 is divided by 782.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23360 and 270976.\nAnswer: 1354880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31206 - 54680. Round y to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(735) + (sqrt(240)\/sqrt(4) - sqrt(60))\/sqrt(4))\/(sqrt(27)*-4*6) + 4).\nAnswer: -7*sqrt(5)\/18 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 55, -3, 1 in descending order.\nAnswer: 55, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - 6. Let o be x(-2). Let r(z) = 5*z**2 - z + 1. Let g(l) = -l**2. Let j be (-12)\/(-15)*(-10)\/(-4). Let c(f) = j*r(f) + 9*g(f). Determine c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.03 + 1.03. What is the smallest value in -1, 1\/6, 7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -219\/4. What is the third smallest value in -2\/7, n, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 65*d + 320. Calculate v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -21*m - 12. Let c be 6 + (-20)\/5 - (1 + 3). Let z be f(c). Suppose 25*n - z*n + 1295 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -59192, 617 in ascending order.\nAnswer: -59192, -1, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -785, -4, 2 in increasing order.\nAnswer: -785, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, 4, -5, -8 in descending order.\nAnswer: 21, 4, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 21. Suppose 0 = -2*b - 3*b + t. Suppose -2*q + 2*d = -d - 61, -b = d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 718328103?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152062, -152061, -152060, -152059, -152058?\n\"Answer: g - 152063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 7. Calculate k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/9412832 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003029879268 rounded to five decimal places?\nAnswer: -0.00303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12 - 57*v + 115*v - 59*v. Let j be k(-11). Which is the second smallest value? (a) -0.02 (b) 5 (c) j (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-437)\/115)\/(33\/(-1650)*-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.2 - 6. Let w be (-33)\/(-55) + (-7)\/(-5). Let f = -0.3 + -0.7. What is the closest to f in h, w, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1499 times -9?\nAnswer: -19.3491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*g - 225, 10*g = 12*g - u - 147. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.025+2501747\nAnswer: 2501747.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 2*v. Let j(b) = 14*b**3 + b**2 - 2*b + 1. Let w be j(1). Suppose 0 = -3*a - 3*f + 6, 2*a + 3*f = -f + w. Let p be n(a). Are p and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266205*n + 64695*n + 12956*n + 234631*n.\nAnswer: 578487*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 2150 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40220034 (base 5) in base 15?\nAnswer: 64c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 - 115. Let j = -0.08 - -2.28. Let q = j - u. Round q to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r - 2. Let t be a(1). Suppose t*s - s = -3*x - 9, 3*s = 4*x - 2. Is ((-1004)\/4*1)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329245*c + 329245*c - c**3 + 33*c**3 - c**3.\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 1:38 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7410394, 14820787, 22231180, 29641573, 37051966?\n\"Answer: 7410393*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 8*u**7\/105 + u**6\/30 - 4*u**5\/15 - u**4\/6 - 22*u**2. Factor k(h).\nAnswer: 4*h*(h - 1)*(h + 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 (base 7) in base 14?\nAnswer: c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-10) + 6\/15. Suppose y*m - 11 = -5. Suppose 0*t - 2 = w + 5*t, 5*t - 10 = 5*w. Put -5, m, w in increasing order.\nAnswer: -5, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9 - 1 + x - 2*x. Let d be a(7). Let b(c) = -c**2 - 5*c - 3. Let g be b(-4). Solve t + g = -d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x**2 - 2. Let i = -236 + 281. Let c(v) = -21*v**2 - 26*v**2 + i*v**2. What is n(c(l))?\nAnswer: -52*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 - 6*y**2 + 3 - 3 + 2.\nAnswer: 9*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 21604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/116137 and 54\/182501.\nAnswer: 1277507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from grrrdrrrr?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 4*q - 10*q)*((3 + 1 - 2)*(-1 - q + 1) + (1 - 1 - 3)*(q - 6*q + 3*q)) to the form s*q + p + a*q**2 and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2614836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5135317 less than 35929?\nAnswer: 35922.4864683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwswwwsrwsssw. What is prob of picking 2 w and 1 s?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38958 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l**2 + 27*l - 86. Let h be o(8). Find y such that 4\/3*y - 2\/3*y**2 + h = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3097 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 752573671\/11116824 + 267\/97516. Let t = -1200\/19 + d. Calculate the common denominator of t and -23\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55415, 55372, 55329?\nAnswer: 55286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -109. Let q = -29 + i. What is the greatest common divisor of 108 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*sqrt(931)*-3 - (0 + sqrt(931))*-3)*-1 + -5)**2.\nAnswer: -882*sqrt(19) + 75460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4796559 + -0.4.\nAnswer: 4796558.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 9441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48583, -48619, -48701, -48847, -49075?\n\"Answer: -3*u**3 - 5*u**2 - 48575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1230\/950 - (-12)\/114) + (-166)\/140.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 163791*c - 65. What is y(0)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/h*h\/h**7)\/(h*h*h*h\/(h**(-1)*h))**(-39))\/(h**(6\/5)*h**10)**(-2\/29) assuming h is positive.\nAnswer: h**(21282\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341, 690, 1043, 1400, 1761?\nAnswer: 2126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -210211165 + -2?\nAnswer: -210211167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13509786 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/30 - -13\/60. Let o = -39\/5 + 288\/35. Which is the closest to p? (a) -0.4 (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-132)*(-165)\/(-6). Solve -3*z + 0*z + v*w + 1 = 0, 0 = -2*z - 2*w + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89591870 to the nearest integer?\nAnswer: 9465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 8*v - 5 = 0. Which is smaller: v or -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 5*m + 12*m - 240 = 0 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/169 - 192378\/(-26). Suppose 0 = 5*p - 3*h + h - 7409, s = 5*p + 3*h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(6\/11))*u)**(2\/9)*u**(2\/9)\/u**(2\/19) assuming u is positive.\nAnswer: u**(410\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (21\/(-9) - -2)\/((-30)\/280) and 19\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 50. What is the third smallest value in d, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p + 2*p**4 - 2*p**2 + 2*p**3 + 2*p - 4*p in the form f*p + m*p**2 + g + y*p**3 + u*p**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -176810, -354332, -531854, -709376, -886898, -1064420?\n\"Answer: -177522*p + 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 250 - 174. Let i = k - -24. Calculate the remainder when i is divided by (4\/3)\/(-1 - 159\/(-153)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1403 = -6*g + 6061. Let c = g - 290. What are the prime factors of c?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*j + j - 15, -j = -5*p - 24. Let t be (-2 + (-12)\/p)*-5. What is the common denominator of 86\/8*1\/t and -19\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1537 - 921. Let q be (-3)\/(6\/8) + 1936\/n. Let i = 1 - 0.5. What is the biggest value in i, -9\/4, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a factor of 11924730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 736163023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 4022 = 6456. Suppose 14*p - b - 1417 = 0. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66599999)\/(-6) + (-4)\/(-24). What is f rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22823217 + 22823217 - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-9 + -5). Let k be t\/(-2) + 9\/18. What is the units digit of k\/4*(-86)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3969\/2*p**2 - 257298363\/2 - 3\/2*p**3 - 1750329\/2*p.\nAnswer: -3*(p + 441)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 3)*(-2)\/4. Suppose -3*j = r - 14, -3*r - 10 = -6*j + c*j. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((1*sqrt(70))\/sqrt(10)) - (sqrt(2) - (1 + sqrt(2)))*2*-1.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155441935 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, q: 3, t: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, 0, 1497912?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1)**(10\/13))**(-4\/7))**(-25) assuming n is positive.\nAnswer: n**(1000\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by 18499.\nAnswer: -121\/18499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, -75, -2\/11, 0.073, -0.3, 4, -3\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/224 and -151\/1176?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -500, -1603, -3734, -7235?\nAnswer: -12448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + (-6 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 - -173.79. Let h = 0.89 - o. Which is greater: h or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*o + 51 - 124*o + 51*o + 78*o as k + p*o and give k.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n - 4. Let b = 8921 - 8924. Calculate u(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k**2. Let g be (-3 - -6) + 0 + -2. Let d be p(g). Let z = d - -18. Solve 5*m = 3*x + 3*m + 20, -4 = -2*x - z*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5673*a*v**2 + 3*a*v + 275509*v**2 wrt a.\nAnswer: 5673*v**2 + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -120*k + 40. Let g be p(-9). Let d = g - 431. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 280\/22276123 or 1?\nAnswer: 280\/22276123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 3*l + 23, -1871 = -2*h - 4*l - 1841 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13\/3)\/m*m**(22\/3))\/(m**(-8\/5))**(-3\/2) assuming m is positive.\nAnswer: m**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-k + 5*k - 3*k)*(-k - 2*k + 5*k)*(-2 - 4 + 1).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*w**2 + 201*w**2 - 64*w**2 - 57*w**2.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 4*j. Suppose 2*x - 3 = 3*x. Let o be b(x). Suppose o - 8 = -q. Solve q*l - 4*g = 17, -4*l - 5*g + 4 - 15 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(1419\/(-43)) + -46*(-4)\/8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 731 + 12*l - 2*l**4 + 7*l**4 - 733 wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3640 and -222.\nAnswer: 808080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 34*s + 49. Is c(-56) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10565057\/140 + -75464. Find the common denominator of -113\/12 and o.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1125609*l - 1809 - 85 + 1123850*l wrt l.\nAnswer: -1759","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5\/7 - 152*o**4\/7 + 968*o**3\/7 - 16*o**2 - 3756*o\/7 - 360 = 0 for o.\nAnswer: -1, 3, 7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2105210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 44 = -24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 + (-191 - -258) - (-37 - -1).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * 0.042.\nAnswer: -2.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1143)\/(-27) + ((-10)\/(-6) - 2) and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2, 0, 111, -0.1?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -23) + ((-1 - -5) + -7 - -15).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 15 + 52 + 57*i.\nAnswer: 57*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 4*b**2 - 5*b - 4. Let t be s(5). Let o be 3\/6 + (558\/t)\/(-9). What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 135*h + 1297. Let f be r(-7). What is the highest common divisor of f and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/(4 - 6). Let m(p) be the first derivative of 1 + 1\/15*p**3 - a*p**2 + 0*p. Factor m(h).\nAnswer: h*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from jbxme?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from mramreremb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 less than -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 - p**4 - 2*p**4)*(5 - 2 - 4) + 44*p**4 - 58*p**4 + 34*p**4.\nAnswer: 26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r**5 + 2*r**4 - 72*r**3 - 50*r**2 + 88*r + 24 = 0 for r.\nAnswer: -2, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -23634224?\nAnswer: 23634215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -342 divided by 6\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 197367990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -855 + 1200. Suppose -b + s = 2*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 1 - 1 + (0 + 1 + 0)*(7 - 6 + 101*y - 1))*(82 + 132 + 16).\nAnswer: 23460*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**7\/630 + d**6\/144 - d**5\/15 - d**2. Let m(n) be the third derivative of u(n). Is m(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -3*z + 18, -4*z - 3*m - 5730 = -5750 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128717, 514991, 1158813, 2060177, 3219077, 4635507, 6309461, 8240933?\nAnswer: 10429917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-35)*-9*5\/(-15).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/44957655 and -61\/17013.\nAnswer: 2382755715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3963 * 5\nAnswer: -1.9815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 + 3*f - f - 17*f**3 + 0 - 3 - f**2 + (0*f - 3*f + f)*(2*f**3 - 6*f**3 + 3*f**3) to the form p*f**4 + k*f**2 + r*f**3 + u*f + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/(-6) + -3)*(-3)\/2 - (-3008 - -2849).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 = -c - 5, 11 = -c + 5*r. Which is smaller: -9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24 - (-7 - -6 - -3). Suppose m - i = -20. Solve m*n + 14 = -4*p, -4*p - 17 = -2*p + 3*n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 0.5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**3 - 18*u**3 - 28*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 1 + 1 + 0*z - 2*z**3 to the form i*z**2 + p + w*z**3 + v*z and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (-29 - -17)) + (-15 - -67) - 9\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2644 + 1325 + 1319 - 12*i**2 + i**2 - 17*i to o*i**2 + h*i + q and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 0.3 (c) -3\/275 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 39 + 20 = 5*r, -41 = -2*r + 5*l for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-12))\/(((-52)\/(-1950))\/((-2)\/(-6))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*u + 2215*u + 200560 = -401*u - 1953*u for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-6*-1)**2 - (-3 + 1 + sqrt(637) + sqrt(13)).\nAnswer: -8*sqrt(13) + 4214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, -3\/5, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2321 = -g - 2293, -3*m = 3*g - 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -4 + 5)*75\/9. Let i be (-6)\/(-40) - 5\/(j\/2). Let a be 2\/(-6) + 10\/66. What is the nearest to -1 in a, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11001010101111010011101101?\nAnswer: 11001010101111010011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**3 - 9*y**3 + 11*y**3.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-320670)\/2394 - -134) + (-2924)\/(-38).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3779 and 4.\nAnswer: -15116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8548, -2\/9, 0.3 in ascending order.\nAnswer: -2\/9, 0.3, 8548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a + 2. Let w(m) = -m**3 - 15*m**2 + 16*m. Let d be (-10 - 2)*(5\/(-3) + 3). Let z be w(d). Let s(k) = 2*k + z*k + 1 + k + k. Give -5*s(q) + 3*t(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22778 + -22797. Let y(p) = p**3 + 22*p**2 + 57*p + 6. Calculate y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30293381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/126*26260744\/(-10). Let p = z - -62525. Let c = p - 3\/35. Put -2\/5, -5, c in increasing order.\nAnswer: -5, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {t: 3, a: 2, z: 2, k: 6, l: 5}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100112 (base 3) in base 13?\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-56) + (-2 - 0)\/(-14*22\/308).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1430?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.9? (a) -0.53 (b) -0.3 (c) 2\/15 (d) -2 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-455)*-5)\/(1\/(-1)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t - 1. Let x(a) be the first derivative of -a**2\/2 + 5*a - 20. Let c be x(3). Let r(l) = -l. Give c*r(s) - u(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - 9*u**3 + 4*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 24 = -5*t - 3*w, -8 = -4*w. Let l be (-3)\/((-9)\/(-6)) + t + -6. Which is the second biggest value? (a) -1\/6 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.2. Which is the third biggest value? (a) 5 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 - ((12 - 3) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:46 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - p + 8 = -5*h, 6*p = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*d = 38, 4*d + 242 = 222 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**1))**(-6\/23))**(6\/13))**(-1\/9) assuming v is positive.\nAnswer: v**(4\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 232\/171 + -30\/19. Let w = 260 + -255. Let d(p) = -10*p**2 - 4*p. Let q be d(-1). Put q, w, g, 5\/2 in ascending order.\nAnswer: q, g, 5\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)*c*c**(-11)*(c*c\/(c*c**(-1)*c*c*c*c))**2 assuming c is positive.\nAnswer: c**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (14\/6)\/((-191)\/573)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**3\/7 + 580136*h**2 + 24365884*h\/7 - 4060976 = 0.\nAnswer: -7, 1, 1015244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:40 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -71270 divided by -10?\nAnswer: 7127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 1225*b**6\/2 - 36*b**2 + 22*b - 5092. Find the second derivative of o(q) wrt q.\nAnswer: 73500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/6*((-4618)\/(-3))\/(80\/72) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3. Let w = 97 + -130. Let a be w\/18 + 7 + -5. Which is smaller: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.9223 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 13*j - 3, 0 = -3*b + 6*j - 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-31 - -6) + (1 - -16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -110*z**2 + 374*z + 180. Let b(o) = 22*o**2 - 77*o - 36. Calculate 34*b(k) + 7*v(k).\nAnswer: -22*k**2 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50023695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61831485*k*l**3*t - 2*k*l**3 - 27*k*l + 9*k*t - 709*l**2*t wrt l?\nAnswer: 370988910*k*t - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 6752.\nAnswer: 20256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*d + 45*d + 15*d + 93*d - 9*d - 33*d.\nAnswer: 182*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 8*r + 7. What is the remainder when 30 is divided by m(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 130, -0.4, 162, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53394 divided by -25?\nAnswer: 53394\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1258.2 - 1072. Let y = 100.4 - h. Let m = y - -86. Put 2, m, 2\/5 in ascending order.\nAnswer: m, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538642197 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12856161.\nAnswer: 3, 67, 167, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -856510865*d - 173807475 wrt d?\nAnswer: -856510865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2041041 (base 5) to base 15.\nAnswer: a09b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/120 - v**5\/30 + 12*v**2 + 2*v. Let p(s) = 2*s**3 - 5*s**2. What is 5*i(r) - 2*p(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2112\/(-5 - 11)*1858\/(-4)?\nAnswer: 2, 3, 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**5 - 11*s**3\/3 - s**2\/2 - 51*s - 26. Find the second derivative of i(f) wrt f.\nAnswer: 60*f**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - z - 46, -2*d - 4*z + 113 = 81. Solve 299*k = 295*k - d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.5 in 20, 45\/2, 2\/7, -1, 5, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1358 and 16561489?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.1 + -2.3. Let d = l + -3. Which is the third smallest value? (a) d (b) 4\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 15 = -n, -3*n = 5*m + 30 - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/10 - (-24)\/5. Let w be 54\/10 - (-12)\/(-30). Solve d = 4*n - w*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:46 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 12 = -x, 6 = 1831*f - 1834*f + 3*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 333, 431, 523, 603, 665, 703?\n\"Answer: -v**3 + 3*v**2 + 96*v + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 31*l - 41. Let i(n) = 2*n**2 + 16*n - 21. Let w(u) = -5*i(u) + 3*z(u). Let m be w(8). Which is bigger: m or 21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/36 + (-310)\/(-450) - 0.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.015 + -1.12. Let x = 0.295 - s. Which is the closest to -0.1? (a) x (b) -4 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14067417.\nAnswer: 3, 7, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l**2. Suppose 6*k - 3 = 3. Let b be o(k). Find the third derivative of b*d**4 - 15*d**4 + d**2 + d**5 wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - (-38)\/(-6). Calculate the lowest common multiple of 9\/f*10\/(-3) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -35. Suppose -a = 4*n, -n - 9 = -2*a - c*n. Suppose -a*u - m + 13 = 0, -u - 3*m + 18 = 4*u. Solve -5*o = -4*p + 8, -u*o + o = 3*p + 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**4\/6 + 34*o. Let q(f) = f + 2. Let p(u) = -4*u - 9. Let i = -4 - -6. Let s(v) = i*p(v) + 9*q(v). What is s(y(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 30621648.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005*2.5.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 3*q + 9*q. What is the least common multiple of q and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*h - 5. Let t = h + -5. Suppose 5*s - 8 = t*s. Solve -2*r + 2*p = -p - 19, 0 = -s*p - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Let u = 7\/40 - -13\/40. Put u, a, 5 in decreasing order.\nAnswer: 5, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002941978087 rounded to 7 dps?\nAnswer: 0.002942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100002021200 (base 3) to base 2.\nAnswer: -100101111001001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -284*l + 55. Is q(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/12)\/(-1*(-1)\/(-3)). Sort 5\/3, o, -3 in decreasing order.\nAnswer: 5\/3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 1\/3*z**4 + 4*z**2 + 0*z**3 - 9*z + 0. Differentiate k(j) wrt j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -379*u**2. Let p(r) = 10*r**2 - 1. What is w(p(m))?\nAnswer: -37900*m**4 + 7580*m**2 - 379","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1852, -1894, -1910, -1882, -1792, -1622?\n\"Answer: 3*u**3 - 5*u**2 - 48*u - 1802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 330?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190 divided by 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(-1 + 2*u + 1) + u + u - 3*u)*(4 - 4 - 16)*(-63*u - 1428*u**2 - 1426*u**2 + 6 + 2853*u**2).\nAnswer: 16*u**3 + 1008*u**2 - 96*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -283973\nAnswer: -283982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00074557 to five decimal places.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, r: 3, y: 2, m: 2, n: 4}. What is prob of picking 1 r and 2 y?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 33. Is 30 a factor of 137 + (4 - d)\/(-6)*0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 363\/5 in 4, -0.1, -3, 143?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507*t - 391*t - 1940100 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5914 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*l - 36615*l + 983*l to the form n + o*l and give o.\nAnswer: -35823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 45 = -5*c, -4*c + p + 0*p - 33 = 0. Let h = c + 18. What is the tens digit of (98\/(-6) - (h - 7))*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92169805 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1242.8 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-31)\/2*(487 + -5). Let c = r - -448297\/60. Let s = 3\/4 - c. Put -4, -5, s in descending order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4439465065 a multiple of 4173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 38521100 to the nearest one hundred thousand.\nAnswer: 38500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 4*p - 4. Let r(d) = d**2 + 3*d - 3. Suppose 2*a - 8 = -16. Determine a*r(k) + 3*q(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31512553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -31?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*i + 97*i - 9*i**2 - 5*i**2 - i + i + (-2*i + i - i)*(i - 3*i + i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -152 and -55370110543.\nAnswer: -55370110695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -530 - -556. Suppose 0 = -35*i + 22*i + s. Solve 0 = -2*n - n - 2*c, 2*n = i*c + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -2 - 3) + 1 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 4*f**2 - 21*f - 15. Give s(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s + 39*s - 162 = 40*s - 32*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1216) + sqrt(1216) + -5.\nAnswer: -32*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - ((sqrt(2448) + sqrt(2448)*-1 - sqrt(2448))*-4 + sqrt(2448))) + (3 + 0 + sqrt(2448) + sqrt(2448) - sqrt(2448) - sqrt(2448)) + 1)**2.\nAnswer: -384*sqrt(17) + 39184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 3 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + n + 1 = 4, 5*g + n = 15. Suppose -g*o = 2*h + h - 57, 2*o + 3*h - 40 = 0. Let c = o + 5. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -11. Let p = 9.695 + 0.105. Let m = p + b. What is m rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(35)\/sqrt(7)) + sqrt(5)*-1*5 - ((sqrt(180)*-2*-2 + sqrt(180))**2 - (sqrt(180) - (1*sqrt(180)*3 - sqrt(180)))**2).\nAnswer: -4320 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1190 = -138*b - 362. Solve 179*l = 185*l - b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278282867?\nAnswer: 3, 426094289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeepxje. Give prob of sequence qjxp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885350 is divided by 595.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*h - 3*h. What is the greatest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-10) + (-2)\/10. Suppose -m*b + 22 = -29. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30283 + 30295. Solve 27*p + f = 39 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 22*n**2 + 6*n.\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = -8. Let h be 21*((-4)\/3 + 1). Let c = h + 8. Calculate the lowest common multiple of j and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -15, -38, -65, -90, -107, -110, -93?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/(-1804) + 20\/(-57200)*1165\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000982 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55806 + -30112. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 25. Calculate the least common multiple of h and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -145 - -1302?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**8\/6720 + s**7\/2520 - s**6\/720 + s**5\/60 + 17*s**4\/12 - 17*s. Let h(f) be the third derivative of r(f). Give h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - j**2)*(-1 - 5*j**3 + 5*j**3 - 3*j**3).\nAnswer: 3*j**5 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -12) + (5 - 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -595 and 1.2.\nAnswer: -593.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - v + 4293, -41*v = -36*v + 15. Is n less than -2148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473.04 less than 2?\nAnswer: -4471.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74557264 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: Let h(z) = 11*z - 20. Suppose -3*q = -9*q + 18. Let n be h(q). Solve n = 2*r - 2*y + 5*y, 6 = 2*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 7*m + 3*m + 547*m**2.\nAnswer: 547*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -39, -92, -165, -264, -395, -564, -777?\n\"Answer: -a**3 - a**2 - 29*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - 10. Let v = -366 - 292. Let g = v + 858. What is the highest common divisor of g and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(20)*-2*-1 - 1*sqrt(20)*-1))\/(-4*sqrt(8)\/sqrt(2) + -1*sqrt(4)*3))**2.\nAnswer: 1620\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c**2 - 6*c + 6. Let o(g) = 13*g**2 + 5*g - 5. Give 5*a(n) + 6*o(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + 32 + -2 + 1 + 8 + 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 + (122\/(-14) - -5). Suppose 45*h - 178 = -88. Sort l, -22, h, 5 in increasing order.\nAnswer: -22, l, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m + 5*x, -15*x = -14*x - 2. Let a = -0.02 - -0.22. Let t = 152 - 1060\/7. What is the closest to -2\/11 in a, t, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*g - 3 - 3, 0 = 3*n + 2*g - 10. Suppose 0*z - z + 2 = 0. Let w be z + (-12)\/(-51)*-8. What is the closest to -2\/11 in w, n, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 14 = 6. Let o(h) = -h + 2. Let l(j) = 10*j - 19. Let v(a) = -7*a + 13. Let q(b) = 5*l(b) + 7*v(b). Determine c*q(w) + 5*o(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3149 + -3148.2745. What is n rounded to 2 decimal places?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + -6 + (18 - 17)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/88232 and -107\/16140?\nAnswer: 1323480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 590328*c - 43560893448.\nAnswer: -2*(c - 147582)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 69.5. Let u = i + 18. Let n = u - 0.7. Which is the second smallest value? (a) 5 (b) n (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**3 - 5*v + 21*v**3 - 6*v + 40*v**2 + 21*v - 5*v to the form h*v + q*v**3 + o*v**2 + k and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -313.006 + -0.994. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (sqrt(1008) - (5 + sqrt(1008)*-2))**2.\nAnswer: -348*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 14*b + 11*b - 9 = 0, 0 = b + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12499805 to 4 decimal places.\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 8. Let f be i(13). Suppose 2*s = -4*s + f. Let c(x) = -7 - x**s - 10 + 24 - 9 + 6*x**2 + 9*x. Calculate c(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from hnh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = g + k - 2*k, 2*k + 16 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*m + 366, u = -0*u - 3*m + 100. Suppose 369 = 5*i + u. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2650 - -4109. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + sqrt(1331)*-1*-6 + -3*(sqrt(1331) + -3 + 1))**2.\nAnswer: 726*sqrt(11) + 12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 1 - 1 - 1)*(2*p - 10*p + 6*p) to the form s*p**2 + n*p + h and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and 63?\nAnswer: 11.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -220012020 (base 3) to base 5\nAnswer: -1031022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llff when four letters picked without replacement from lllffl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -646\/7 - -92. Which is the nearest to -1? (a) k (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/32*-2)\/(-238*147\/39984)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88185 or 88187?\nAnswer: 88187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.31 + -0.19. Let x = 0.39 + s. Let h = x + -1.89. Which is the nearest to 1? (a) h (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479626 is divided by 11974.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 0.08, -2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7398 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*m + 105 + 115 = -6*m. Solve 626*w = 624*w - m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**3 - 33*q**2 - 2*q + 1745 wrt q?\nAnswer: -30*q - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2382.299 millilitres to litres.\nAnswer: 2.382299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3693.7 * -1791.\nAnswer: 6615416.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**3 - v - 3*v**3 + v.\nAnswer: -29*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18552.35 millennia in months?\nAnswer: 222628200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 6 - 4. Let l be (27\/(-12))\/(6\/h). Let p = 17\/84 - -1\/21. Which is the closest to p? (a) l (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/112274 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (13 - ((-6 - -13) + -6 - 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 10*x**2 + 28*x + 24. Let m(w) = w**3 + 9*w**2 + 19*w + 23. Let h(z) = -3*m(z) + 2*t(z). Calculate h(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c + 535. Calculate b(72).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 218479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = b + 5*a, -3*b + 7 = 2*a. Suppose 4*r - 4*l = 12, 2*r - b = l + 6. Find the first derivative of -54*f + 30*f - r + 33*f wrt f.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214316 and 8180.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140821\/1256 - -897\/8. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/16337 and -99\/4.\nAnswer: 65348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*p**2*x**3 - 21*p**2*x**2 + 2*p**2 - 18*p*x**3 - 7*p wrt x?\nAnswer: 354*p**2 - 108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysgg when four letters picked without replacement from {s: 4, g: 8, y: 2}?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 3*a + 33 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 214414969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17717.\nAnswer: 7, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5530400 (base 6) to base 12.\nAnswer: -113a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 11520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*r - 583. Let n = -1210 + r. Let m = n - -13171\/21. Is m < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -5 in decreasing order.\nAnswer: 10, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45584171?\nAnswer: 43, 1060097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 819 and 147.\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -36. Suppose 12 = 3*a + 30. Put a, 3, h in ascending order.\nAnswer: a, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*x - 1833 = 825 + 78 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (-6 - 11 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 4 + 0 + 0. Let u = -29 - -32. What is the units digit of u\/2*1*i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 57*m + 21 + 87*m in the form x*m + c and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106706 + 6723433\/63. Let a = r + -89\/7. Determine g, given that a*g - 32\/9*g**2 + 14\/9*g**3 - 4\/9 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + v = h - 109, 3*v + 52 = h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 757062+-1\nAnswer: 757061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**2 - z + 3. Let c(s) = s**2 + s - 1. Suppose -2*b + 4*v = -26, 2*b + 0 = v + 11. Calculate b*c(p) + m(p).\nAnswer: -3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 19*b - 4. Let f be m(7). Calculate the highest common divisor of f and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5 + 3051*g**4 - 1034289*g**3 + 116874657*g**2 = 0?\nAnswer: 0, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose 0 = -7*y + 2*y + 3*j - 7, 5*y = -5*j + 25. Let v be (0*y\/2)\/3. Let g = -1032\/11 + 94. Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 2. Let f = 12 + -5. Let m be v(f). Is 2 a factor of 5\/(-25) + (-16)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 643*y + 4787 + 4215 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + p**3 - 2*p**3)*((3 - 4 + 3)*(-2*p + 2*p + 3*p) - 1 + p + 1).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -11, -12, -120315 in ascending order.\nAnswer: -120315, -12, -11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 73*v - 7. Is 6 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**5 - 13*i**4\/4 + 3*i**2\/2 + 9101*i - 2. Let q(u) = -7*u**3 + 13*u**2 - 1. Give -6*f(p) - 17*q(p).\nAnswer: -p**3 + 13*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izclclcizccci. What is prob of sequence zc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y + 66 = 15*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 9. Let n be i(5). Let x(v) = -12 - n*v - 2*v + 9*v + 3*v. Calculate the smallest common multiple of 8 and x(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1482 and 5749818.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 11*v**2 - 7*v**3 + 9*v**2 - 25*v**3 in the form r*v**2 + w*v**3 + k + q*v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 622*l**4 - 4*l**2 - 18?\nAnswer: 14928*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 5*k**2 + 3*k - 7. Let o be v(-6). Suppose 11 = g - 7*p + 2*p, 3*p + o = 5*g. List the prime factors of 8 + 32 - (g - 0).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 - -1.2. Let b = z + 0.6. Which is bigger: b or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*y - 0*j + 644, j + 387 = 3*y. What is the third derivative of -47*w**2 + y*w**2 - 66*w**2 + 6*w**6 wrt w?\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g. Let n(r) = 12*r**2 + 2*r + 2. Give 4*i(d) - n(d).\nAnswer: -16*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - i + 2. Let c(p) be the third derivative of 0 + 1\/8*p**4 - 7\/60*p**5 - p**2 + 0*p - 2\/3*p**3. Calculate 2*c(h) + 5*l(h).\nAnswer: h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -5 (c) 2\/15 (d) -44533\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*l - 1, -4*l = 3*j + 8. Solve -j*k = k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 + 2. Let n = 175 + -177. Let v(k) = 3*k**3 + 1. Calculate n*l(y) + 3*v(y).\nAnswer: 3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3.6, -0.4, 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10611821600 rounded to the nearest one million?\nAnswer: 10612000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*y**2 - 28*y**2 + 183639 - 182203 - y wrt y.\nAnswer: -114*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4630 + -2766. Suppose -304 = 13*i - v. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657821628.\nAnswer: 2, 3, 6090941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v - 13. What is the tens digit of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 15 = -3*p. Let u = 0 - -9. Let g = 6 - u. Which is the closest to -0.1? (a) g (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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 s = 12\/5 - 31\/15. What is the biggest value in 0.3, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3078*a**5 + 2*a**3 - 21*a**2 + 5726239*a.\nAnswer: -61560*a**3 + 12*a - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -726900*o**2 - o + 87939078?\nAnswer: -1453800*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7184.17l to millilitres.\nAnswer: 7184170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2\/(-5) + (-81)\/(-15) + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 + 2*z**2)*(-3*z - 2*z - 20*z**3 + 21*z**3).\nAnswer: 2*z**5 - 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = -2*m - 21, c - 14 = 3*m. Suppose 195 = -0*l + c*l. What is the remainder when l is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -48 (b) 0 (c) -4 (d) 31\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.33 + -4.024. Let m = s - -0.194. Let x = -4 - -5. Sort 0.5, -5, m, x in decreasing order.\nAnswer: x, 0.5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/40, 1786, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 336 = 4*c + 372, -3*l + 0 = c - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*w - 1137*w + 174*m + 3 = 172*m + 2 + 2, 3*w + 10*m - 11 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10.1, 0.01, 2\/9?\nAnswer: 10.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -639875, -640019, -640261, -640601, -641039, -641575, -642209?\n\"Answer: -49*i**2 + 3*i - 639829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170674313?\nAnswer: 31, 97, 211, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*a - 1433 = 3*a, -2*g - 4*a + 582 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2. Let j(u) = 5*u - 4*u - 4*u. Determine j(g(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2 + 8. Let y(j) = 5*j**3 - 2*j**2 + 7*j - 11. Let o(a) = -4*a**3 + 3*a**2 - 7*a + 10. Let m(w) = -4*o(w) - 3*y(w). Determine m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2128\/1463*(10 + 1). Solve -w = -4*l, 38 = 4*o + 2*l + 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16483 + 4497 = 461*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975161 divided by -70?\nAnswer: -3975161\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b - 2*b)*(16 - 16 + b)*(-6 + 3 + 0)*(0 + 1 + 1).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -12, 29 in decreasing order.\nAnswer: 29, 8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5294109173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 6*p**2 - p - 8. Let j be o(6). Let n be (-6)\/j + (-64)\/(-14). Suppose 2 + 3 = -5*u - n*x, 5*u - 4*x - 31 = 0. Solve -8 - 7 = -u*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 420, 623, 826, 1029, 1232?\nAnswer: 1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3428)\/(-180) + (2 - (-8)\/(-5)). Let m = -1880717\/18 - -104454. Let p = c + m. Find the common denominator of p and -77\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 20 = -w. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57026 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, 0.066, -0.3, -1682?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 1122\nAnswer: -1122.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (1140\/8)\/15.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1203*i**6 - 20*i**5 + 2*i**2 + 34148*i?\nAnswer: 144360*i**3 - 1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.29 - -7.29. Let w = s + -2.5. Let o = w + -4.50061. What is o rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.578 and -27561.\nAnswer: 15930.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/96 + (-817)\/6708 and 64\/3?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 4\/7*g**2 - 4\/21*g**3 + 0 + 10*g + 1\/70*g**5 - 1\/42*g**4. Determine c so that z(c) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 15*r + 42. Let v be k(4). Suppose 0 = -q - 0*q - 26. Let l = -16 - q. What is the highest common divisor of l and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 3 + k + 3\/2*k**2. Let r(p) = 8*p + 3. Determine 17*f(d) - 6*r(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 5:05 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - 4) + 2 + (5 - 1) + (-171 - -175)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 883584+-23\nAnswer: 883561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3 and 97\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**6\/15 + 46*s**3\/3 - 126*s**2 - 68*s. What is the derivative of u(m) wrt m?\nAnswer: 8*m**3 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 24535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 44*x. Let y be z(-5). Let a be y\/(-18) + 8\/(-36). Solve 5*o - 9 - 4 = w, -4*w = a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (2 - (-1 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4006 (base 10) to base 15\nAnswer: -12c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 7*m - 14*b = 16*m + 220, -2*m - 65 = 5*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*l**3*r + 480*l**3 + 24*l**2*r*s + l*r - 2*l*s + 28*l + 2*r*s + 565*r + 3 wrt l.\nAnswer: 186*l*r + 2880*l + 48*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 46 = -1. Let l = 12 - r. What is the derivative of -l + 1 + 2*z**3 + 4*z**3 - 3 wrt z?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*c - 43 + 43.\nAnswer: 172*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5332 is divided by 2664.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2, -111, 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -659765 divided by 3\nAnswer: -659765\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(133)*-4 + -2*(sqrt(133) - (sqrt(133) - (sqrt(133) - -1*sqrt(133)))))\/(sqrt(70)\/(1*sqrt(40))*4).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z - 243*z**2 + 4 - 242*z**2 + 732*z**2 - 248*z**2 + 2*z. Give s(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300093282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/10 and -13\/1789.\nAnswer: 17890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 10 - (-571 + 559)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33\/7 (b) -4 (c) -261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 400 = 6*z. Suppose 12*o - 16*o + z = 0. What is the highest common divisor of 60 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-7)\/7*1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25812 by 6.\nAnswer: -4302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/792 and 46\/11.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -81*w**2 + 63*w. Let s(x) = 5*x**2 - 4*x. Let j(u) = -4*i(u) - 63*s(u). Let r(a) = a - a - 4*a**2. Give -2*j(v) - 5*r(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -21*a**2 + a. Let w be z(1). Let y be (-3)\/(15\/w) - -15. Solve 35 = 4*l + 4*f - 1, 0 = -l - 3*f + y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 64*i**2 + i - 4. Let r be ((-9)\/(-15))\/(2\/((-40)\/(-6))). Calculate the remainder when a(r) is divided by 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.53, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 5)*(-3 + 2*f + 3) + (-14010*f - 4 + 30519*f - 14680*f)*(2 + 3 - 3) as a + n*f and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2 + 3 - 3*o - 5. Suppose 88*q - 99*q - 66 = 0. Give h(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -32\/69 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1\/9 (b) 4 (c) -120121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2. Let t(v) = -5*v**3 + 6*v**2 + 6. Let l = 55 + -43. Suppose -4*n = 4*a + 36, -4*a - 6*n + 10*n - l = 0. Determine a*z(i) - t(i).\nAnswer: -i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(448) + sqrt(448) + (sqrt(252) - (sqrt(252) + (sqrt(252) - (sqrt(252)*-3 + -2))))**2)*4 + -2.\nAnswer: 800*sqrt(7) + 16142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c + 4. Let n(w) = 5*w - 3*w - 66 + 5*w. Calculate the remainder when n(13) is divided by d(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-10)\/(-5))*(26\/10 - 3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177881?\nAnswer: 11, 103, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 5, m: 3, b: 1, d: 5}. Give prob of picking 1 m, 1 x, and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114136 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 13. Let c be -7 + (-20)\/(-5) + 176\/16. What is the highest common divisor of x and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*t**2 + 2*i*t + 8*i + 567*t**2 - 7773*t - 8817781 with respect to t.\nAnswer: 2*i*t + 2*i + 1134*t - 7773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -112\/19*u**2 + 32\/19 - 10\/19*u**5 + 26\/19*u**4 + 32\/19*u + 32\/19*u**3 = 0.\nAnswer: -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514610000 rounded to the nearest 1000000?\nAnswer: -2515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npaaapipiyanssaapn. What is prob of picking 3 p and 1 n?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.38 times -3?\nAnswer: 7.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -411 and -420 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-465)\/310*(-14)\/6 - (0 - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - m. Let d(u) = 6*u**2 + 3*u. Suppose 2*p + 7 = -w + 4, 3*w + 3 = 0. What is p*d(q) - 3*z(q)?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275 - 204. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 5. Suppose -q*g = 57 - 225. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 167 = -3*i, -d = -5*d + 4*i + 132. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*i**3 + 272*i**3 - 91*i**3 - 88*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (10 - 14)) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4)\/b)**(-30)*(((b*b*b\/b**(1\/24)*b*b)\/b)\/b)\/(b\/b**(1\/9)) assuming b is positive.\nAnswer: b**(3929\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-165) + 7\/60. Sort k, 2\/3, 3\/5 in descending order.\nAnswer: 2\/3, 3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 251*k - 15. Let z be j(6). Suppose 3*w - z = -2*f, -5*f = -5*w + w - 3670. Let y(c) = -6*c - 738 + f. Let u(b) = 5*b. What is u(y(d))?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38991249 rounded to two decimal places?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 5 (c) 1\/3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**3 + r**3 - r**3)*(-12*r - 2*r + 2*r) - 398*r - 379*r - 2*r**4 - 12*r**2 + 803*r to v + f*r**2 + z*r**4 + g*r**3 + h*r and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*8*(-5)\/30. Let z be 75*10\/195 + l. Which is the third smallest value? (a) 4 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*v + 378 = c, 290 = 3*c + 5*v. Suppose 652 - c = 2*l - w, 566 = 2*l + 2*w. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9108 and -121\/282?\nAnswer: 428076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/88*(5 + -7 - 4)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0343 to 3 dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 3990.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.477 and -4.974.\nAnswer: -22.268598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1, 1, -4, 165, -2.42, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*2\/(-1)*1. Let i(w) = -w. Let p(s) = -2*s + 5. Let f(o) = -4*i(o) + p(o). Let u be f(-4). Sort u, r, -2 in ascending order.\nAnswer: r, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x - 18. What is z(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7825 - 7342. Calculate the remainder when w is divided by 132.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgyi when four letters picked without replacement from yiixyzyiyyg?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + 7\/(-35). What is the closest to -0.1 in 3\/5, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - p**2 + 5*p - 11*p. Suppose 20 = 8*f - 3*f. Calculate the remainder when 22 is divided by b(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 982 + -966. Calculate the smallest common multiple of 56 and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 235*z. Let g(r) = 2*r. Calculate g(w(j)).\nAnswer: 470*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-473)\/(-16555))\/((-3)\/357)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = -23*l - 100 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -445*d**2*s**2*w*x - 2*d**2 - 2*d*s**3*w + 71*s**3*w*x - 14703*s*w wrt x?\nAnswer: -445*d**2*s**2*w + 71*s**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -2 (c) 6.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxinvrj. Give prob of sequence rn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3732 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 479b - -18?\nAnswer: 47b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 642602.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 688 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -1\/12*p**4 + 1\/6*p**3 + p**2 + 1\/20*p**5 - 23*p + 0. Give s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 + -272 + (2 - 0) + 9?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120000100012 + -12?\nAnswer: -10120000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**5 + 3*r**3 + 4*r**2 + 3*r. Let n(s) = -8*s**5 - 2*s**3 - 3*s**2 - 2*s. Let t(u) = -3*n(u) - 2*o(u). Find the third derivative of t(k) wrt k.\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1156 - -1154. Put g, -18, -1 in decreasing order.\nAnswer: -1, g, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166589 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13639*p + 13733*p = -94 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 = 1, -3*m + 2*h + 170 = 0. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 391, 440, 487, 532, 575?\n\"Answer: -r**2 + 52*r + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 4*p + 20. Let g be -2*((-54)\/4 + 4). Let i = g - 13. What is the tens digit of a(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weqg when four letters picked without replacement from ewwiwewwqigew?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1919 + b097?\nAnswer: 947b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 - h - 1. Let r be ((5 - 2) + -7)*1. Let m be i(r). Suppose m*n = -2*n + 20. Which is bigger: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/8154 and -83\/10.\nAnswer: 40770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79746 + -54918. What are the prime factors of z?\nAnswer: 2, 3, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 17*f**2 + 48*f - 201. Is x(32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 198337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -1.6. Let s = z + -4. Let v = s - -1.99997. Round v to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccccsccccsccc. What is prob of picking 2 c?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*g - 5*g + 160*g - 13508 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l**2 + l + 1. Let f(b) = -36*b**2 - 6*b - 5. Give 2*f(a) + 11*i(a).\nAnswer: 5*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/2*(-32)\/40. Solve 0 = 5*p + 26 - v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 7*s - 7. Let j be (-5)\/(55\/1087) + (-4)\/22. Let h = j - -88. What is the units digit of m(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -75\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(576\/104)*((-10206)\/468)\/27.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 10*q**2 - 2*q - 13. Suppose -3*r + 7 = 4, -4*p = -4*r - 20. What is the remainder when k(p) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01161 plus 0.3?\nAnswer: 0.31161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 8745984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(-5)\/r*r)*r*r*r*r**(1\/10))\/(r*r**(-1\/3))**46)**(4\/33) assuming r is positive.\nAnswer: r**(-1234\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 48 + 8 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*36\/36.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = 4*f - d, -2*f + 0*d - 3*d + 135 = 0. Suppose -r + 6 - 9 = 0, 3*q = -5*r + f. Let z(a) = 11*a + 1. Is z(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 988215 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) + sqrt(110) + sqrt(110)*-3)*-6 + 5*(sqrt(110) - (sqrt(110) - (-2*sqrt(110) - sqrt(110)))))\/(-1*sqrt(120)\/(sqrt(72)\/sqrt(6))*3).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62018284 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 773 - 428?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*u**2)*(-10*u**2 - 17*u**2 + 5*u**2) + 1 - u**4 - 1.\nAnswer: 43*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1. Let m(u) = -43*u + 5 - 20*u + 32*u**3 - 3 - 7. Let s(p) = 5*k(p) - m(p). What is the second derivative of s(q) wrt q?\nAnswer: -192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -330.5 + 302.69. Round g to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 + -640. Let q = x - -1378. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from {w: 1, q: 1, c: 2, k: 5, v: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 14*j**2 + 13*j + 2. Let v be m(-13). What is the second derivative of -6*s**5 - 4*s - v*s**5 + 0*s**5 + 3*s wrt s?\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + 4*o - 1. List the prime factors of l(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + 0 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*6\/6*1\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(98) - (sqrt(98) + sqrt(98) + 1*sqrt(98))).\nAnswer: -sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/11 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194 - 69. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 13*v**2 + 98*v + 1313. Determine i(-14).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + -2*sqrt(1331) + ((sqrt(1331) + 0 - sqrt(1331)) + sqrt(1331))**2*4 - ((-1 + sqrt(1331) + -4 - sqrt(1331)) + (-3*(0 + sqrt(1331)))**2)).\nAnswer: -6642 - 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2}. What is prob of picking 1 v and 1 a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.11 (b) -3\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14784 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*3*sqrt(7).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/261090 and -59\/58020?\nAnswer: 522180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480\/56 - 8 - 1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1, 17124.6856?\nAnswer: 17124.6856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 5*s + z - 10, -5*s + 5*z = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 6*r - 46. Suppose 3*n - r = -5*x, -n + 7 - 2 = x. Let o(d) = -4*d**2 - 4*d + 2. Let z(f) = -5*f**2 - 5*f + 3. What is x*o(l) - 3*z(l)?\nAnswer: -l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -43*t**7\/35 + 30*t**3 - t**2 - 29*t. What is the derivative of j(d) wrt d?\nAnswer: -1032*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 703.99683 - 704. What is w rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**7\/630 - r**6\/90 - 5*r**4\/6 - 25*r. Let s(w) be the third derivative of n(w). Determine o, given that s(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(11\/3)\/(o\/o**17*o) assuming o is positive.\nAnswer: o**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 12. What is the derivative of -3*i**4 + 3*i**4 + 0*i**4 - 4 + 5*i**j wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from unjuuueuuuuujnuueeun.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-3)\/(3 + (-16)\/6). Let j be (-62)\/31 + (-16)\/s. Sort 0, -1, j, -9 in increasing order.\nAnswer: -9, -1, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -37 (b) -2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1170633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 16 (b) -1 (c) 0.3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1452, -1457, -1460, -1461, -1460, -1457, -1452?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.03, 0.7, -2, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 56. Let b = f + -13. Let z be b\/(-2) + (-4200021)\/(-14). Round z to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/23 + 8*h\/23 - 10\/23.\nAnswer: 2*(h - 1)*(h + 5)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 3*b + b)*(-1 - 3 + 3) - b + 2 - 2 + (-b + b + b)*(1 - 2 + 2) + 2*b - 7*b + 0*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32224, -64450, -96676, -128902, -161128, -193354?\n\"Answer: -32226*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h - 36. Let d = 264 + -265. Let p(u) = -1. Let v(b) = -b - 6. Let o(x) = d*v(x) + 5*p(x). Let c(r) = -12*r - 9. Give h*o(f) + c(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -29*i**2 - 4*i + 4. Let y(g) = 97*g + 2 - 100*g - 1 - 30*g**2 + 2. Let o(b) = 3*h(b) - 4*y(b). Let x(f) = 4*f. Give x(o(p)).\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**4 - p**3 + p**2 + p + 1. Let n(j) = -36*j**4 - 4*j**3 + 35*j**2 + 4*j + 4. Let c(o) = n(o) - 4*r(o). Find the third derivative of c(f) wrt f.\nAnswer: -768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.020669 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 43*j**4\/2 - 2*j**3\/3 - 135*j - 112. Differentiate u(w) with respect to w.\nAnswer: 258*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - y + 2. Let k be g(-3). Let o = 62 - k. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6853849\/34125 + 2611\/13. Let a = 128633\/10500 - z. Determine y, given that a*y**3 + 0 + 0*y**2 - y = 0.\nAnswer: -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/(-6) - -3) + (-2)\/3. Solve -m = -u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 23 - 42 - 3*r**2)*(-4*r + 5*r - 2*r).\nAnswer: 3*r**3 - 21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513 = -n - 2*y - 470, -3*n + 1325 = 58*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 356586121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p + 48*p - 20*p - 10*p - 14*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -232 and 327803970.1.\nAnswer: 327803738.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 8) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -94*k + 1050. What is the smallest common multiple of p(11) and 3528?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 23\/5 - 8\/(-52)*-13?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4 plus 3682?\nAnswer: 3674.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = 2*m, -4*s = -2*m - 64. Let j(i) = s*i - 2*i**2 - 22*i + 5*i + 3*i**2. What is j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 29 = 21*d. Let p(b) = 17*b**2 - b + 2. Give p(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 1477.\nAnswer: -20\/1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let p be d(0). Suppose -3*h + 44 = 5*q, -2*h = 6*q - 4*q - 16. Let b be 16\/q - (p - -2). Is b > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -26*u**2 - 2. Let s be x(-2). Let m = s - -133. Calculate the remainder when 159 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*g + 1263 + 1686, -4*k + 5*g = -3936. Calculate the greatest common divisor of 22 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -39*w - 1793. What is r(-44)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u)**(-35)\/(u\/(u**1\/u)*u)**(-35\/4)*((u**(2\/7))**(1\/13))**(-45) assuming u is positive.\nAnswer: u**(-3365\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131.17 + -131.37. Let y = -11\/6 + 3\/2. What is the closest to -4 in -2\/15, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9906599.\nAnswer: 9906599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, o: 3}. What is prob of picking 3 k and 1 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**4 + u**2 - u. Let m(v) = v**5 - 8*v**4 - 2*v**3 + 10*v**2 - 5*v - 2. Let a(c) = -6*l(c) + m(c). Let a(z) = 0. What is z?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**3 + 0*s**3 + 3*s**3 + (0*s + 2*s + 0*s)*(27 - 27 - 3*s**2).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 - 27 = -2*y. Calculate the remainder when y is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3))**48)**(-44) assuming b is positive.\nAnswer: b**(-704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, d: 2, b: 1, m: 6, s: 3}. Give prob of picking 1 b and 3 m.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.051? (a) -0.06 (b) 4\/3 (c) 0 (d) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*p + 4523, 0 = 4*a - 2*p - 5135 + 597. Does 69 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + m**2 - 3*m - 2. Let o be 2\/(-7) - 24\/14. Let n be r(o). Suppose 0*z = -4*z. Solve z*s + 2*s - 6 = n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 14951335.\nAnswer: 1\/2135905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1231 and 10940?\nAnswer: 13467140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*h - j + 3, j - 23 = 3*h. Let q(y) = 16*y**2 + 5*y - 6. Let v be q(h). Round v to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20815 plus 1715668896?\nAnswer: 1715668895.79185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 2.1?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 11. Let b be (-56)\/63 - 2\/(-9). Put -0.2, m, b in ascending order.\nAnswer: m, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7162490)\/40*16\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1407783 = -4*q + 120027, -4*p + 1287764 = -5*q. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viiiiiii. Give prob of sequence vi.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000847506367 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7585*u + 3824*u + 3846*u.\nAnswer: 85*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.427589 rounded to two dps?\nAnswer: 8.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)\/q)\/(q**(2\/41)\/q) assuming q is positive.\nAnswer: q**(-576\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 491898389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2643, 5286, 7929, 10572, 13215?\nAnswer: 15858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6939 + y + 6939.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkfk when four letters picked without replacement from zzzkjyftzzkkzfzkff.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 174.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2281708, 2281574, 2281440?\nAnswer: 2281306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 27*n**2 + 40*n - 9. Let p(b) = 18*b**2 + 26*b - 6. Calculate 5*a(d) - 8*p(d).\nAnswer: -9*d**2 - 8*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1413 times -0.592\nAnswer: 0.0836496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127*g + 564 with respect to g.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 1, z: 3, m: 2, b: 6}. Give prob of sequence mpps.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38495795.\nAnswer: 5, 13, 227, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146524 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 5*z - 11. What is the remainder when 23 is divided by q(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195*i**5*m**2 - i**4*m**2 + i**2*m + 110*m**2 wrt i.\nAnswer: -11700*i**2*m**2 - 24*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h - 3. Let r = 7 + -5. Suppose 0*y = y + r*y. Suppose y = -d - 5*k - 0*k - 2, 3 = -3*k. Calculate x(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + -1 + sqrt(175) + sqrt(175))**2 + 2*-2*sqrt(175) + (2 + (-1*sqrt(175) + -5)**2)*-5.\nAnswer: -390*sqrt(7) - 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -78. Calculate the remainder when 86 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 5*k + 1. Let v be (10\/(-10))\/((-18)\/108). Give s(v).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, -812?\nAnswer: -812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 130 - 174 = 0. Let r = -48 - z. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(98)*2)**2 + sqrt(98).\nAnswer: 91*sqrt(2) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-8))\/((-354)\/(-1652))*(-18)\/20. What is the second smallest value in -1, h, 0.09, 2\/7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 25*g - 43. Let t be 2\/(-11) + (-1530)\/(-264)*4. Determine i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*s - 28, 3*s + 15 = -l + 4. Is 17\/5 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -31*n**2 + 47*n**2 - 17*n**2. Let w(m) = m**2 - m + 1. Let u(s) = 9*s**2 + 12*s - 12. Let z(a) = -u(a) - 12*w(a). Give f(z(y)).\nAnswer: -441*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 13\/12, 4, -1\/52?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7109.6 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, -2, 25 in ascending order.\nAnswer: -157, -2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 7:21 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46 + 13*u**4 + 4*u**3 - 7*u**4 - u**3 + 0*u**4 wrt u.\nAnswer: 24*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16049148 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-16)*(-32)\/48.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 8:46 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6196211725 to the power of 1\/2, to the nearest integer?\nAnswer: 78716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.1, -18, 3, -18.9 in decreasing order.\nAnswer: 3, -0.1, -3\/7, -18, -18.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/329 and 16\/1645.\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2048 + 2102. What is the remainder when 1133 is divided by q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8091869.382 to the nearest 10000.\nAnswer: 8090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 less than 194833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*k + 45, -2*k - 12 = -5*y + 5. Suppose k*i = -3*f + 36, 0 = 6*i - 3*i + 3*f - 30. Calculate the lowest common multiple of (-2)\/4 + 9\/6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 46 = 2*q, 3*m - 2*q = -3 + 41. Suppose 3*i = -m, -h + 384 = 3*h - 4*i. Calculate the remainder when h is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*d = 4850103 - 4856861 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 348006*p - 25. Let h be o(5). Suppose -2*f = 4*j + 17457 + 678539, -5*f - h = -5*j. Round f to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 3460 = -3*c. Let j = c + 1736\/5. Solve j*i**3 - 26\/5*i**2 + 32\/5*i - 8\/5 = 0 for i.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t - 4*t**4 - 9*t**4 + 15*t**4 + 4*t**3 - 2*t**2.\nAnswer: 2*t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/5 - 22*r**3\/5 + 24*r**2\/5 = 0 for r.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 2:22 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g*i**2 - 10*g*i + 15451*i**2*o + 2002*i + 11*o wrt i?\nAnswer: 8*g + 30902*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - (5 + -7 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-63))\/(448\/(-27352)). Let p = t + -142\/49. Find the common denominator of -45\/14 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 53 = -38. Suppose 79 = h*g - 111. Let c = 47 - g. What is the greatest common divisor of c and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -17*z - 29. Which is smaller: z or 35\/3?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -25289 (b) 0.5 (c) 2 (d) 0.27 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/(-40) - (1 + (-1146)\/(-168)) and 32\/13?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6900.872 nanometers to centimeters.\nAnswer: 0.0006900872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25160000 rounded to the nearest 100000?\nAnswer: -25200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5 + 2 + 11*d**2 - 1 + 5. Is 4 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = 2. Let q be y\/(-6) - 8\/(-3). Let 4 + 0 + 6*b - 3*b**3 + b**q = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/24 and 43\/330699.\nAnswer: 2645592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -3940?\nAnswer: 3936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g + 124621 = 75*g + 124667 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -1 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**2))**(-1\/6)*k\/(((k**10*k)\/k)\/k)*k*k**(3\/4) assuming k is positive.\nAnswer: k**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2464656 - 1?\nAnswer: 2464655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 1575.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -441 divided by 6?\nAnswer: -147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 + 11*n**2 + 5*n - 258. Let l(p) = p**3 + 4*p**2 + 2*p - 86. Let j(z) = -3*c(z) + 8*l(z). Calculate the remainder when j(0) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71617425?\nAnswer: 3, 5, 11, 47, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -665348024495519\/1169532 + 7395714141\/13. Let d = -15\/3332 - n. What is the common denominator of d and 71\/2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1788 + 1790. Let a(f) be the third derivative of 1\/30*f**4 + 2*f**t + 0*f + 1\/150*f**5 + 0 + 1\/15*f**3. Determine v so that a(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**6\/240 - k**5\/15 - 5*k**4\/48 + 16*k**3 - 39. Let f(d) be the third derivative of x(d). Factor f(v).\nAnswer: -(v + 5)*(3*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195*a**2*h**3*n**3 - 3*a**2*h**3*n**2 - 9*a**2*h**2*n**3 - 3*a*h**3*n + 2*h**3*n + 2*h**2*n**2 wrt n.\nAnswer: -1170*a**2*h**3 - 54*a**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -126730 divided by -667\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -157. What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdh when three letters picked without replacement from whwxwixldhwx?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:54 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + 3 - 9) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k - 5*k + 5*k - 5 - 7*k to l*k + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1b?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(5184) + (sqrt(5184)*1 - sqrt(5184))*-2 + sqrt(5184))\/(-6*-3*sqrt(1200)*-3).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15522?\nAnswer: 2, 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 - -120104?\nAnswer: 120004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-30))\/((-5)\/6). Let h = 0.5949 + 0.4051. Which is the nearest to 0? (a) -5 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:22 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36336 - 36335.9999967351. What is t rounded to 7 decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 2*j, 16 = j - 0*j - 3*a. Suppose -u = 1 - 10. Let i = u - 3. Calculate the highest common divisor of j and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 12. Let c be q(-4). Solve c*l - 10 = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 3114.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m + 90. Let g(a) = -7*a + 91. Let b(k) = -4*g(k) + 3*l(k). Let f be b(14). Solve 3*z = 2*w, -f*z - w = 4*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 81*v - 1425. What is the remainder when 5152 is divided by t(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 + 9819790*a = 0. What is a?\nAnswer: 0, 4909895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgxnffxgffzgxfff. Give prob of picking 4 f.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103.7 - -11.7. Let n = s - -87.97. Let y = -3.5 - n. What is y rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 819 and 13437.\nAnswer: 1222767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 14*t**2 + 10*t - 8. Let v = -57 + 70. What is the units digit of u(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*g - 11142 = 0, 3*q + q + 3*g = 8932. Let f = q - 1418. Let z = -519 + f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15570 divided by -1927?\nAnswer: 15570\/1927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/2, 1345, -71 in decreasing order.\nAnswer: 1345, 3\/2, 0, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/4685 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -700 or -5595\/8?\nAnswer: -700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12578 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/54*(-9639)\/(-510).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in 18, -1123\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.032 + -0.068. What is the second smallest value in -0.08, g, -2, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(7\/70)\/((-24)\/40)*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-10)\/112) + (-101055)\/6737\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 2. Let d(r) = -3*r**3 - 5*r**2 + 2*r - 5. Let b be d(i). Let o = -391 - b. What is o rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*s = 22, 19 = j - 5*s - 0*s. Let b(i) = -2*i - 4*i + 3*i**2 - 4*i**2 - 3. Let t be b(-2). Put j, -2, t in decreasing order.\nAnswer: t, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*q - 1. Let s = -5 - q. Let i(t) = -t**3 - 2*t**2 + 2*t - 3. What is the tens digit of i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -100. Suppose -2*j + 6*j + f = 245, -v*f - 9 = 0. Let l = 61 - j. What is the nearest to 4 in l, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2535\/7 + -362. Suppose 0 = 4*m - 5*n + 11, m - 19 = 6*m - n. Which is the nearest to 0.2? (a) m (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.428711 nanometers in micrometers?\nAnswer: 0.003428711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*q - 11. Let b be (-4)\/(14 - 2)*q. Let k(w) = -w**3 + 3*w**2 + w. Let c be k(3). Solve -b*o - 4 = -o + c*p, 1 = -p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:40 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/((-5)\/(-90)*9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735*r + 5*s = 584*r + 1359, 4*s = -4*r + 36 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 8. Let m be f(-6). Suppose 4*d + m = -22. Let o be (8\/d)\/((-2)\/3). Solve -7*i = -3*i - w - 1, -o*i + 11 = 3*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318640?\nAnswer: 2, 5, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = 1, 2*v - 8 = 5*j. Suppose -2*u + 5*o + 204 = 0, o = -4*u - j*o + 452. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b**3 + 165*b**2 + 487*b - 62. Give s(-3).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -14 + -8 + 1 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118567631 a multiple of 2327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51 - 34 + 63)*((-4 + 0 + 2)*(6*i - 4*i + 0*i) + 3*i - 2*i - 2*i) to k + y*i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/4200 and -1\/564.\nAnswer: 197400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73.078 + 73. Let c = -3782.61099926 + 3782.689. Let x = c + f. What is x rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 + 3)*(-5*v**2 + 97*v**3 + v**2 - 95*v**3).\nAnswer: -10*v**3 + 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/12 - 2*m. Let z(t) = 3*t**2 + 9*t. Let y(f) = f**2 + 4*f. Let x(u) = -9*y(u) + 4*z(u). Give w(x(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 3*d**2 + d. Determine o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 336, 623, 910, 1197?\n\"Answer: 287*d + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 - 76. Suppose -6*r - 4*z = -v*r + 7, r = -z + 5. Suppose 286 = 2*g - 4*i, g + r*i = -0*i + 163. What are the prime factors of g?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + q + 552 = 2*q, 0 = -2*d + 3*q + 276. Let t = d + -82. Suppose j - z - 25 = 0, -2*j - 7*z = -3*z - t. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2175 = 19*t. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9488 and 4744?\nAnswer: 9488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/7944 and -139\/18.\nAnswer: 23832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyiu when four letters picked without replacement from yifcxui?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -18. Let w(d) be the second derivative of -1\/3*d**3 + 0 - 2*d + y*d**2. Let f(s) = s. Calculate f(w(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7556857 or -7556862?\nAnswer: -7556862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Suppose 4*d = 6*b - 3*b + 8, d - 9 = -b. Sort p, -4, d in descending order.\nAnswer: d, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -90203*o + 90282. Calculate i(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 + s. Let m be l(1). Suppose 0 = -m*i + 10*i - 185. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10103050 - 0?\nAnswer: 10103050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2433*u + 2. Let r(l) = -l**2 - 71*l. What is r(o(b))?\nAnswer: -5919489*b**2 + 182475*b - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 3*w**2 - 6*w)*(-5*w**2 + 0*w**2 - w**2) + 16 - 2*w**3 - 16 + 3*w**4.\nAnswer: 21*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4731147, 9462288, 14193429, 18924570, 23655711, 28386852?\n\"Answer: 4731141*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t - 150*t + 23 - 2*t**2 - 8*t + 42*t**3.\nAnswer: 42*t**3 - 2*t**2 - 136*t + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/18 + 0 + 15\/18*-2. Which is the biggest value? (a) 1 (b) w (c) -3\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0 + 0*p + 0*p**4 + 14*p**2 + 19\/6*p**3 - 13\/60*p**5. Differentiate y(w) wrt w.\nAnswer: -26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = 25*p + 670 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-105)\/6)\/((-38)\/12 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:32 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -404*f + 405*f + 3*j - 17, 2*f = 3*j - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -19*x**3\/2 - 107*x**2\/2 + 43*x. Find the first derivative of h(k) wrt k.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 634519 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*s = -317*s + 2. Is 1\/333 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6143, 5105, 3373, 947, -2173, -5987?\n\"Answer: -347*l**2 + 3*l + 6487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10495067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6*w = 152, -5*w - 650 = -520 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(-12 - 2 + 0)*(-5 + 2 + 2)*(x - 3*x + x) - 6*x - 3*x + 4*x - 3*x + 2*x + 0*x + (5*x + 5*x - 5*x)*(-3 - 1 + 6) to q + k*x and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*b - 10, b - 8 = -0*b - 4*v. What is the units digit of (3 - (b + -1)) + 1020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2036911 millilitres in litres?\nAnswer: 0.0002036911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1081323915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 13 - 10*q - 59 + 15 + 13 to the form c + n*q and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 17915388?\nAnswer: -17915386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.353 + 19.347. Let z = q - 8. Let i = 12 - z. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795165 is divided by 8369?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 3*s - 14, 4*a + s - 12 = 3*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 183154*d**3*q - 231*d**3 + 64*d wrt q?\nAnswer: 183154*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*-1)\/sqrt(10).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose -6*g - 2*t - 2 = -4*g, s*t = g + 4. Put g, 2, 3 in descending order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 94\/7, 5 in descending order.\nAnswer: 94\/7, 5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.5 + 7.1. Let s = -10.1 + x. What is s rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.6957789\nAnswer: 2.0873367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(39)\/(sqrt(3) + -2*sqrt(3)))**2*2.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 2, a: 1}. Give prob of sequence dap.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 2*a - 0*a, 2*a - 1 = 3*x. Suppose -c + 8*u - 10*u = -17, 9*u - 31 = 2*c. What is the highest common divisor of a and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 - (7 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 4*c**2 + 3*c. Let z be d(4). Suppose 0 = -5*k - z - 13. Let f be k\/(3\/(45\/(-3))). Solve -3*n = 3*u + 2*u - 5, -n = -5*u + f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4551 and 2561325?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 19 = -3*f, 3*b + 14 = 2*f - 0*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = a - b - 77, -4 = 4*b. Let z = -19 + a. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 4. Let x be o(3). Let j = x + 5. Is j <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*s - 3*v + 22, -3*s - v - 2 = 0. What is the tens digit of 5*((-49)\/(-5) - s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18147 and 411332.\nAnswer: 1233996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6979.\nAnswer: 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/9 - 322979*h**2\/9 + 645955*h\/9 - 107659\/3 = 0.\nAnswer: 1, 322977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*k = 70, 2*a + 0*k - 106 = -5*k. Is 58 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86382 rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 f when three letters picked without replacement from {e: 3, w: 1, q: 4, c: 2, f: 2, r: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + x = 3*x + 4, -2*g = -x - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b9 + 2?\nAnswer: 17bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**2*y**(-10\/13))**(-46) assuming y is positive.\nAnswer: y**(-1334\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(6 + 12 + 20)*(2*a - a + a)*(1 - 2 + 0).\nAnswer: 76*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, 1\/5, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1430 + 5723\/4. Let r = -0.181 - -0.081. Which is the closest to 0? (a) -0.03 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 4*t + 1. Let g = -378 - -373. Calculate v(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.5. Which is the third biggest value? (a) -5 (b) 1\/4 (c) t (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 1780*n**2 + 7068*n + 5292.\nAnswer: 4*(n + 1)*(n + 3)*(n + 441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2980297116050?\nAnswer: -2980297116047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -797, -1733, -2827, -4133, -5705, -7597?\nAnswer: -9863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -0.5, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*2\/(-24) - 165\/198. Put j, -5, -4, 14 in increasing order.\nAnswer: -5, -4, j, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3654, -7327, -11012, -14709, -18418, -22139?\nAnswer: -25872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**3\/6 + g**2\/2 - 4*g. Determine r(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-3)\/4)\/(((-17)\/(-306))\/(-1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 9*n - 23. Give s(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6488 (base 15) to base 6.\nAnswer: 242302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13\/4, 0.1, 3\/58, 97?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/657 and 81\/5548.\nAnswer: 49932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/60 + (-2 + 4)\/(-8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 16*f + 2. Let g be r(0). Solve 11 = -4*z - q, 2*z + z + g*q = -7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -7, -4.\nAnswer: -30, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -6)\/(6\/(-4)). Let j = 1 - -2. Let d be 4 + (j - 3) + 1. Solve d*a = -15, -3*s - 2*s = l*a - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 23*t**2 - 13*t - 12. List the prime factors of c(22).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 8*b. Let x(h) = h**3 + 12*h**2 + 20*h + 5. Let t be x(-10). Sort b, t, -1 in descending order.\nAnswer: t, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4292 is divided by 76.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23.8 and 0.458.\nAnswer: -23.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 8:01 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650000 divided by -375?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 119 = 9*s. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 7*b + 1 = -2*s, -3*s + b = -1. Let n = -34 + 34.5. What is the third biggest value in s, -5, 2\/11, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 65, 0, -0.37, -2, -0.4, -10.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*k - 17, -2*z - 5*k + 0*k - 13 = 0. Suppose -3*i + 7*i = 8. Suppose -b - 2 = -0*b. Put b, z, i in descending order.\nAnswer: i, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/3, 1223, -0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2 - 6240*y\/11 = 0.\nAnswer: 0, 3120\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -2\/9, -1\/173, -0.5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let g(w) = -17*w - 5140. What is c(g(i))?\nAnswer: -17*i - 5140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -38 + 43 - (1 + -19)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56153*m*n*u**3 - 2*m*n + 2*n*u**3 + 50*n - u**3 - 2*u**2 - 56*u with respect to m.\nAnswer: -56153*n*u**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuh when three letters picked without replacement from {o: 1, e: 1, m: 4, h: 4, s: 1, u: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -22. Suppose k*m + 100 = 11*m. Let y = -16 + m. Solve -y*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.2 (c) -823 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 18*w - 13. Let m = 34 + -21. Is t(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -22*o**3\/3 + 12*o + 33. Differentiate k(g) with respect to g.\nAnswer: -44*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211441 is divided by 30199.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3086 = 40*i - 9206. Calculate the remainder when i is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - n - n + n)*(-8082*n + 2*n**2 - 19*n**3 + 3 + 8082*n) to the form m*n**3 + v*n**2 + r*n**4 + i + o*n and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzzzsziifziqqq. What is prob of picking 1 s and 2 z?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*o**2 - 253*o**2 + 25 - 648*o - 25 + 648*o.\nAnswer: -154*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -10, 3\/2, -105 in ascending order.\nAnswer: -105, -10, 4\/11, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1679820, 1679800, 1679780, 1679760, 1679740, 1679720?\n\"Answer: -20*r + 1679840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n - 1. Calculate t(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 7. Let z = -11.5 + m. Let g = 0.2 + -0.3. Which is the nearest to 0.1? (a) g (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 25*y**2 - 20*y + 499. Give m(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Let h(k) = k. Give -5*h(a) + u(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.2, 0, -2\/9, 0.03, 0.35 in ascending order.\nAnswer: -2\/9, -0.2, 0, 0.03, 1\/3, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -118, 9, -501, 1 in descending order.\nAnswer: 9, 1, -6, -118, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-42)\/9 - (-70)\/(-105). Suppose 2 = -m - 3, -2*z - y*m + 952 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.22954019 rounded to 3 decimal places?\nAnswer: -4.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - 178\/44 - -3 and 23*21\/(-72) + (-4)\/(-12).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/(14991\/(-399760))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 2*h - 1. Let o(z) = 2*z**2 - 4*z + 2. Let a be o(3). Let d be 38\/(-8) + 6\/a. Let i = d - -2. What is l(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/2)\/(n\/n**(4\/7)*n)*(n\/n**(-1))**21 assuming n is positive.\nAnswer: n**(575\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let f(p) = 18*p + 17*p + 6*p - 27*p. Calculate f(a(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5\/4 - 63*w**4\/4 - 405*w**3\/4 - 717*w**2\/4 + 54*w + 243 = 0. Calculate w.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011.2217 months to years.\nAnswer: 84.268475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-5) + 5\/(150\/12). Suppose n*j = 5*y + 816, 2*j + 3*y = y + 426. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/20 + j**4\/12 - 5*j**3\/6 - j**2 - 14*j. What is c(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and ((-6)\/(-4))\/((-612)\/(-192) - 3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, o: 5, s: 2}. What is prob of sequence syo?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 458429 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.217419 centuries in years?\nAnswer: 421.7419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74)\/4*(128\/(-4) + 2). Suppose -f = -6*z + 33. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + w - 3. Suppose -6 = 3*o - 18. Let l(h) = 1. Calculate o*l(x) + 2*i(x).\nAnswer: -2*x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 = -36. Let g = m - -34. Let o = g + -8. What is the second biggest value in -2, -5, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 - 4*v - 4. Let h be m(-3). Let b be 3*(-33)\/6*-2. Let u = b + h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from {s: 3, x: 5, o: 1, i: 1, w: 2, r: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*w + 660 = 337 + 339, 2*v = -2*w + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)*j\/(j\/((j**(2\/9)*j)\/j)) assuming j is positive.\nAnswer: j**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 31 + 140. Suppose 7*r - h = 24. Factor r*y - 20*y**3 + 4*y - 4*y**2 - 5*y**4 - 3*y + 15 - 6*y**2.\nAnswer: -5*(y - 1)*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*t - 131, -2*t - 3*v + 58 = -v. Let j = -2 + 2. Calculate the remainder when t is divided by (j + 1*-6)*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/6 and -81\/524756.\nAnswer: 1574268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1028*t + 1026*t + 7*a + 76, -3*t - 21 = 3*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 0, 5, 3.\nAnswer: 0, 3, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65786 - -65786.70114. Let x = 1348.7 + -1348. Let z = u - x. What is z rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54324 - -1?\nAnswer: 54325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115934\/(-2548)*48\/39?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**3 + 2444560653556*k**2 - 2 - 2444560653556*k**2.\nAnswer: 11*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79 - -106) + (-96 - 15)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31795, -32005, -32225, -32461, -32719, -33005, -33325?\n\"Answer: -m**3 + m**2 - 206*m - 31589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (54*(-2)\/(-20))\/(430\/2150)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Solve -4*t = 2*h - 28, 3*h - 8*h = -y*t - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108 + 200 - 96) + 0 + 1 + 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36070 < 36070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 20. Let p(t) = t**3 + 8*t**2 + 7*t - 15. Let n be p(-7). Let z be j(n). Let b = -1 - -4. Solve -5*d = -3*c + 3 - 0, -5 = -z*c + b*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h + 30*h - 15*h + 34*h.\nAnswer: 65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.346 - 74926068.\nAnswer: -74926079.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 247514918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077\/(-57) + 22\/2508*-12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331435 = -437*w - 294727 for w.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(108) + (sqrt(108) - (1 + sqrt(108)))) + sqrt(108) + sqrt(108) + -5 + sqrt(48)*-3)**2.\nAnswer: 48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a**2. Let i(t) = 10*t**3 - 36*t**2 - 12*t - 2. Suppose -4*j + 18 = 5*j. Let r(z) = j*i(z) - 36*q(z). Factor r(f).\nAnswer: -4*(f + 1)**2*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2020422616.\nAnswer: 2, 252552827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 - ((7 - 4) + -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*(sqrt(26) - sqrt(26)*-2 - sqrt(26)))\/sqrt(2) + -5)*-5.\nAnswer: -40*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + 3*u. Let i(y) be the second derivative of -y**4\/6 - y**3\/3 - 4*y. Let r(p) = -8*i(p) - 5*j(p). What is the second derivative of r(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -77006, -154002, -230980, -307934, -384858, -461746?\n\"Answer: h**3 + 3*h**2 - 77012*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4)*q*q\/q**(-5))\/((q**3\/q)\/q**(4\/7))*((q*q**0)\/(q*((q**(-1\/12)\/q)\/q)\/q))\/(q**(3\/4)*q\/((q\/q**(-1\/8))\/q)) assuming q is positive.\nAnswer: q**(677\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 3*k - 6*k)*(-4 + 4 - 2*k) - 29*k**2 + 31*k**2 - 7 + 5 to d*k**2 + x + j*k and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -5, 2, 0, -14 in decreasing order.\nAnswer: 4, 2, 0, -5, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**3 - 3*n**2 + 8*n - 8. Let z(o) = o**3 - o**2 + o - 1. Let f(v) = -s(v) + 6*z(v). Let u be f(-2). Is (32\/u - -2) + 0 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 3. Suppose 0*v + 836 = 11*v. Suppose -56 + v = -4*j. Let o(n) = n - 7. Determine j*z(f) - 2*o(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 77. Let x be (q - 5)\/(3*(-2)\/(-9)). Let d be 4 - (4 + x\/(12\/(-1))). Which is the biggest value? (a) -3 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14659339 and 0.4?\nAnswer: -5863735.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -75*i**2 + 58*i + 7. Let a(h) = -35*h**2 + 27*h + 3. Let b(w) = -13*a(w) + 6*n(w). Let f(d) = 1 + d + 0*d - 2*d + d**2. Determine -b(g) + 3*f(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2813 - 2821 = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279 + 18*t**3 - 279.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 210\/((-158)\/237*(7\/(-3) - 12\/18))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -363 - -1768. Suppose f + 3*g - 3532 = 0, -4913 = -f + 5*g - l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 - 43b5255?\nAnswer: -43b51b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Suppose -10 = -2*v, -t - 5 = -6*t - q*v. Let b(s) = -2*s**3 + 4*s**2 - 4*s - 4. Let u(f) = f**3 + f + 1. Let h(w) = t*u(w) - b(w). Give h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 + (-1 - 3 - -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*s. Let g(r) be the third derivative of 0*r - 2*r**2 + s + 0*r**3 + 1\/240*r**6 + 1\/24*r**4 - 1\/40*r**5. Factor g(b).\nAnswer: b*(b - 2)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = 40 + 44 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62398 divided by 24?\nAnswer: 31199\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z + 0*z**4 - 2\/3*z**6 - 4 + 0*z**5 + 3\/2*z**2 + 0*z**3. What is the second derivative of g(b) wrt b?\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/4 (b) 0.04 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/(-54) + 1*35\/42. Which is the closest to x? (a) 3 (b) -7\/4 (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + a)*(4 - 3 + 0) - 8774 + 17545 + 1137*a - 8772.\nAnswer: 1138*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3259 + -3510. Is z less than or equal to -251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 + -9.06. Let i = c - -9.4. Put 3\/7, 5, i in descending order.\nAnswer: 5, 3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 43*f - 38*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.786 - 1.386. Sort 3, -5, 0, n.\nAnswer: -5, n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90811692.\nAnswer: 2, 3, 241, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -0.1. What is the second smallest value in y, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4588*c = -4*r + 4587*c + 110744, -27693 = -r - 2*c. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-17))\/n**27*n**(-7\/5)*n**1 assuming n is positive.\nAnswer: n**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -13. Let j = h + 3.1. Put j, -4, 0.2 in descending order.\nAnswer: 0.2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55 + 586*i**2 + 55 + 725*i**3 + 212*i**3 - 158*i**2 wrt i?\nAnswer: 5622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -75*m - 6 + 1 + 0 + 76*m. Calculate f(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.15 (b) 1 (c) 0.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 59. Solve h*x + 3 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 10*g - 13. Let t be k(-2). Is 36 + t\/(-9)*-3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 8 + 34 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22487)\/(-565) + (-242)\/(-110).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3380*f - 6043.\nAnswer: 3380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -334314906.4 to the nearest one million.\nAnswer: -334000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 a when three letters picked without replacement from {j: 2, s: 1, l: 2, a: 2, k: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 o when four letters picked without replacement from {n: 9, o: 7}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (173*p + 149*p - 90*p)*(0 + 2 - 3) in the form d + t*p and give t.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -382*r - 4. Let h = -115 + 114. Is w(h) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1155 + -819. Calculate the remainder when q is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18431 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -576316186?\nAnswer: 576316185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/8 + 7)*14\/4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - d - 2727, 14*t + d + 678 = 15*t. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 14*a**3 - 134 + 270.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q + 323 + 9*q + 143 - 12*q + 13*q. Let c(o) = 5*o**2. Give d(c(a)).\nAnswer: -5*a**2 + 466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, -0.4, 0.03, -4, -1\/31 in increasing order.\nAnswer: -117, -4, -0.4, -1\/31, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2202\/42 - 20448\/(-4473).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r**2. Let z(u) be the third derivative of u**5\/30 - 3*u**2. Let p(k) = -k**2. Let t(o) = 5*p(o) + 2*z(o). Give t(l(i)).\nAnswer: -169*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170816?\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -8. Suppose r + 0*r = -4*w + 37, w - 33 = -5*r. Suppose -w = -h + 3*h. Put t, h, 4 in descending order.\nAnswer: 4, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -21.03. Let s = y - -0.27. Let n = -79\/374 + 1\/34. What is the third smallest value in -3, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7196.7 + -7197. Which is the nearest to -4? (a) 2\/13 (b) j (c) -5 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*g - 9*v = 483*g + 27, -4*g + 3*v = -9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 952012, 952010, 952008, 952006, 952004?\n\"Answer: -2*p + 952014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 38 = -4*g. Let z = g - 35. Let s(j) be the second derivative of -j**3\/2 + j**2 + 4*j + 5. Give s(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1116 + -1120. Which is the closest to -1\/3? (a) f (b) -1.4 (c) -0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116\/3 - -746\/21. Suppose -77*t + 25*t = 156. Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01996 and 5.\nAnswer: 0.0998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162 - 114. Let b = 98 - j. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/501 and 113\/24.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 3\/4, 5, 0.4, 6 in descending order.\nAnswer: 6, 5, 4\/3, 3\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86160\/(-280)*(-7)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + m = -27*r - 10787, 32371 = 3*r - m. What are the prime factors of r?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + z + 7 = 0, 2*y + 4*z = 1 + 1. Let q(g) = -11*g**3 - 5*g**2 - 2*g + 5. Let w(n) = 16*n**3 + 7*n**2 + 3*n - 7. Calculate y*w(u) + 7*q(u).\nAnswer: 3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 9*s. Let a be y(9). Suppose -5*k + 3*b = 150, 3 = k + 5*b + 61. Let t = k + 36. Sort t, a, -2 in decreasing order.\nAnswer: t, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 11*f + 7*f - 5*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) -13 (c) -214 (d) 1\/4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 12 + k - 121*k**4 + 2*k**2 + 251*k**4 - 131*k**4 in the form h*k**2 + q*k**3 + u + d*k + o*k**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19709?\nAnswer: 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -39*g + 110. Let y(l) = 5. Let j(t) = u(t) - 6*y(t). Let k be j(2). Solve 0*c + k*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - 5 + 5)*(-95 + 39 + 37) to the form f*m + d and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 16) to base 6.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from wppllnpuppupuulpnuu.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {p: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 + 35 = 0. Calculate the common denominator of (-7*(-9)\/(-189))\/(2\/39) and (r\/8)\/(6\/52).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 536 (b) -7 (c) 0.4 (d) 0 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + 0.1. Let u = 2317748.8 - 2317748.55000038. Let d = u - y. What is d rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 356*u = 359*u + 483, 3*u = 4*q + 192 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132123175 - 3?\nAnswer: 132123172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-50))\/((-2)\/20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + s - 8 = -1, -2*q - s = -9. Let x = 53 - 41. Solve j = 5*f - 24, j = 2*j - q*f + x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1020243?\nAnswer: 1020300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c. Let k(r) = 2*r**2 + 3212786*r + 1. Give k(u(j)).\nAnswer: 32*j**2 - 12851144*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 269. Let t = u - 81. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9729, 9602, 9389, 9090, 8705, 8234, 7677?\n\"Answer: -43*h**2 + 2*h + 9770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937493913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1077846\nAnswer: 5\/1077846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 277?\nAnswer: 5\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 3*r - 5*x - 5, -2065*x + 2064*x = 3*r + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15034358239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:01 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*q**2 - 195 - 32*q - 160 + 5*q + 451 - 189 wrt q?\nAnswer: 18*q - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -1. Suppose 4*g + 3*z - 27 = 0, -3*g = 3*z - 17 - 7. Let t(q) = q**3 - 6*q**2 - 2*q + 13. Let h be t(6). Sort h, g, a.\nAnswer: a, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 12) to base 3.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2796270 and 19920?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2 + (-80)\/(-15)*1*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1256*g - 257600 = -5281*g for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c + 74 - 10 - 559 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24476*h**2*j*k + 9*h**2*k + 3*h*j*k - h*j - 441*h*k + j + 1 wrt h?\nAnswer: 48952*j*k + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*n - 2242*n + 10965 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 14*q - 10*q + 3 - 6*q - 21*q - 4*q + q + 4*q - 3*q + (-3 - 4 + 5)*(0 - 2*q + 0).\nAnswer: -49*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 11*d - 9. Let u be z(-5). Let n = u + -8. Calculate the remainder when n is divided by ((-51)\/153)\/((4\/(-21))\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 6*g**2 - 2*g - 8. Let j = -5 - 1. Let w be m(j). Let n(z) = 2*z. What is n(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42\/13, -26, -0.4, -0.2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2 + 5*t + 7. Let v(i) = 10*i**2 + 7*i + 10. Let l be 1*(-5 + -5) + 5. What is l*v(x) + 7*m(x)?\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*b = 13, -2*l + 3*b + 4408 - 4465 = 2*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/4 + -1)*67. Suppose -5*w = -h - 28. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from pqhtk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -25310.58959 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103244*n**2 - 1535288*n wrt n.\nAnswer: -206488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23742070 (base 8) to base 14\nAnswer: 9a1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*a = 7*a - 252, -5*s + 3*a + 460 = 0. Let q be (-3)\/6*(-175 - 1). Let l = s - q. Sort 3, l, 5, 2 in decreasing order.\nAnswer: 5, 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 3*j + 35 - 35.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -0.04. Let s = o - -0.17. What is the closest to s in 1, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 81*o - 60*o + 14 - 6 as z + p*o and give p.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 + a**3 + a**2)*(-56 + 21 + 18) to the form r*a + w*a**3 + c*a**2 + m and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -0.14066.\nAnswer: -1.96924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-8 + 455\/56). Which is the closest to d? (a) -2\/9 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 5) + 5\/((-5)\/(-4)). Let w be ((-12)\/(-2) + -2)\/(r - 5). What is the remainder when 106 is divided by (w - 0)*5\/(-20)*54?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 = -205*i - 3413 - 2595 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14254255 (base 6) to base 11.\nAnswer: -3048a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 45, 80, 133, 210, 317, 460?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12141 by -3.\nAnswer: -4047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 422, 870, 1318?\n\"Answer: 448*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-21768)\/(-20))\/((54\/15)\/9)?\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*j**3*o**2 - j**3 + 7*j**2*o**3 + 548*j**2*o wrt o?\nAnswer: -14*j**3 + 42*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 5115136?\nAnswer: 5115124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45905*n**2 - 45899*n**2 + 91803*n**2 - 8*n + 13*n**3 + 8*n - n**3.\nAnswer: 12*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 462789, 925583, 1388383, 1851195, 2314025, 2776879?\n\"Answer: f**3 - 3*f**2 + 462796*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1 - 6 - 2*i - 4 + 7*i. Let f(x) = -8*x + 17. Let s(z) = -6*f(z) - 11*r(z). Let j(u) = 15*u + 7. Give -6*j(w) - 14*s(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**4\/6 - 65905*u**3\/6 + 62265145*u**2\/2 + 68956865775*u\/2 - 103715195310 = 0.\nAnswer: -844, 3, 7011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 4, f: 3}. Give prob of picking 2 t and 1 y.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 75 - 31 = 0. Let s = 27 - 40. Let k = q + s. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15329?\nAnswer: 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223 - 388*f + 223 + (-4*f + 2*f + f)*(1 - 1 + 2)*(3 - 9 + 2) to the form n*f + v and give n.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 7*d - 6*d + 2953, 1473 = f - 4*d. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 + 12*b - 10. What is k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 753230.1 millimeters in nanometers?\nAnswer: 753230100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -37*c**3 - 2*c**2 - 2*c - 1. Let w be i(-1). Suppose 3 = 3*j - 2*l - 17, 5*j - 4*l - w = 0. Determine t so that -2*t**2 + 4*t - 4 - 2*t + j*t = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 + 3*q - 3*q)*(93 + 9*q - 93) + q**3 + 4*q**3 + q**3 to w + n*q**2 + s*q + x*q**3 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 395 + -391. Solve 0 = 11*j - 15*j - v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528825 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11301 - 2344101?\nAnswer: -2410402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 - 4. Let b = -2.29 + g. Let w = 4.89 + b. What is the third smallest value in 2, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(4*i - 23*i + i).\nAnswer: 54*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:24 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 - 3*y**4 - y**4 + (4*y + y**3 - 4*y)*(-y + 3*y - 4*y))*(0*y - y + 3*y + (-y + 0*y + 0*y)*(0 + 5 - 4)).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - 2) - (14 - (8 + -4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 872309 + -872307. Solve 20\/17 + 54\/17*x + 36\/17*x**h = 0 for x.\nAnswer: -5\/6, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 + 115782416*o - 837847990924816 = 0.\nAnswer: 14472802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842307 a multiple of 353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51252*g + 51303*g = -204 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222\/(-1887))\/(2\/1).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by -39?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -2\/191, 3, 1, 0.5, -0.41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + (sqrt(50) + sqrt(800))*3)\/(-2*(1*sqrt(10) + sqrt(10))))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) 0.035 (c) -2\/317 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -11*f**4\/2 - 96*f**2 - 22*f. What is the first derivative of l(p) wrt p?\nAnswer: -132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.15 (b) 43\/3 (c) 1300 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:55 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 624 and 312.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from zzmdmddzzdddmm.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/4)\/(-3)*(-1508)\/(-29290)*101.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 86, 75, 34, -55, -210, -449, -790, -1251?\n\"Answer: -3*h**3 + 3*h**2 + h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by -49\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -5 (c) -67 (d) 0 (e) 1 (f) 24 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3) + -3 + 0 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 9495779420*l - 6 + 9495779420*l + 2*l**3 - 5 - 11.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, q: 1}. What is prob of sequence if?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*r**2 + r**4 + 4*r + 3 + 31*r**2 - 2 as b*r + q*r**4 + s*r**2 + i*r**3 + v and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 17160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + (7 - -27)\/(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33.7 and 2682363?\nAnswer: 90395633.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 4*b. Solve -2*l + 3 - 5 = -r, b = -3*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 9*u - 1. Suppose -15 = 2*o - q, 2*o + 2*q = -3*o - 51. Let b be k(o). What is the nearest to b in 0.4, -2, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 10*o. Let y = 9 - 4. Suppose 2*w - 3*g = 4, -y*w - 2*g = -g - 10. Let j(n) = 2*n + w*n - 3*n. Calculate -22*j(p) + 2*x(p).\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:12 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 2. Let l be g(-1). Sort l, -5, -2, 0.2 in ascending order.\nAnswer: -5, -2, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -5. Let z = -5 + 9. Suppose 0 = 5*g - z*o - 16, 2*o - 4 = 3*g + 3*o. Is g at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70\/987634621 - 588757648574909\/135345448461840. Let x = 1\/27408 + p. Let n = x + -3\/20. Find the common denominator of n and 67\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. Let d = 13 - 9. Find the second derivative of -d*w**2 - 3*w**3 + y*w**2 - w wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)*v)\/(v**(-2\/7)*v)*(v\/v**(3\/4))\/(v\/v**12*v))**27 assuming v is positive.\nAnswer: v**(5697\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 19 = r - 80, b = 4*r + 8. Let l(d) = d**3 - 3*d**2 - 37*d + 23. What is the tens digit of l(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 156831 (b) 13 (c) -3 (d) 5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6825 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 6*j**2 + 7*j - 3. Let n be d(5). Let f = 3 + n. Calculate the smallest common multiple of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 4*l + 18, 5*r + 3*l = -0*l + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 595*d - 1760*d**5 + 3787*d**4 + 1516*d - 3787*d**4 wrt d.\nAnswer: -35200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -56618, 229, 4 in ascending order.\nAnswer: -56618, 4, 5, 6, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10 and 27\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/770, -2\/11, 1, 0.5, 3\/8 in decreasing order.\nAnswer: 1, 0.5, 3\/8, 1\/770, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26198909 and 759.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/153 and 11\/2397.\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*w = 3 + 1, -3*w = 5*c - 48. Let l be c\/(-18) - (-172)\/6. Suppose -l - 4 = -2*v. What is the remainder when 28 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.328005 years in decades?\nAnswer: 0.4328005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7613.805 micrograms?\nAnswer: 7.613805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, u: 2, l: 8, y: 2}. What is prob of picking 1 u and 2 e?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.6. Let j be 0 - 2 - (2 - (0 + -2))*-2. Which is the closest to j? (a) 0 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 10301424?\nAnswer: 10301422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, 0.032, 58?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 13*p**2 - 11*p - 13. Let y(b) = b**3 - 7*b**2 + 6*b + 7. Let f(t) = t**3 - t**2 - 11. Let k be f(0). What is k*y(a) - 6*o(a)?\nAnswer: a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Let c(x) = -3*x - 1. Let g(o) = -c(o) - 2*k(o). What are the prime factors of g(12)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2801610999 - -0.2.\nAnswer: -2801610998.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563572?\nAnswer: 2, 140893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-18)\/(-914)) + (-22)\/(-99). Suppose 0 = -3*k + n - 48. Is k smaller than -1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*b**4*h**3 + b**4*h**2 - 55*h**3 - 2 wrt b?\nAnswer: -152*b**3*h**3 + 4*b**3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1342*k + 1948*k - 160590 - 6659 = -22489 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.053 + -0.024. What is t rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 3*c + 3. Let u be m(-3). Suppose 4*r = u*r. Suppose r = 3*l - 41 - 19. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 166, 107?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhh. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.5682 + 0.4318. Put 38, 5, a, 39 in ascending order.\nAnswer: a, 5, 38, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than -2.74?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3 + 10130*a**2 - 32704672*a + 32724307872 = 0. Calculate a.\nAnswer: 1962, 4084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 3)*(2*o - o - 3*o) + 2 - 2 + o)*(-3*o + 3*o + 3*o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8140?\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/(-153))\/(((-138)\/9)\/(-1)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 - 33*z + 7. Let t be y(-16). Suppose 0 = x + 477 - t. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3686 - -50. Is -2\/9 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 + -55. Suppose -3*v = 5*m + r, -2*v - 7*m - 55 = -2*m. Let f = v + 58. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -7*l**3\/6 - 2*l**2 - 2*l. Let r be v(-6). Calculate the highest common factor of r and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1767 - 2.1767. Sort 2, f, -2\/3, 3\/11 in descending order.\nAnswer: 2, 3\/11, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299322 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**4 + 2600*g**3 - 127125*g**2 = 0.\nAnswer: -565, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 20. Give r(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -490 - -699. Let p = f + -95. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1091*y**5 + 60*y**3 - 608*y**2 - 762*y**2 - 84*y**3 + 24*y**3 wrt y?\nAnswer: 65460*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 1 - 245\/(-4). Let u = w - 58. Does u = -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -363 - -3202?\nAnswer: 2506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 2*p**3 - 2*p**3)*((-8 - 3 + 1)*(2*p - p + p) + (3*p + p - p)*(-2 + 1 - 1)).\nAnswer: -52*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10073 - -2327?\nAnswer: 1239a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2 + 19*g**3 - 63 - 2*g**2 + 48 wrt g?\nAnswer: 57*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-19140)\/(-2842))\/((-2)\/14). Which is bigger: -46 or s?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132.3 - 4.8. Let c = 127 - l. What is the biggest value in c, 0.03, -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33\/8? (a) -12 (b) -0.32 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i. Let f(b) = 13*b. Let d(y) = 6*f(y) - 11*u(y). Let n(q) = -4*q - 1. Let t be ((-7)\/(-1) + -11)\/2. Give t*d(v) + n(v).\nAnswer: -6*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1320 - -1319.9. Let w = -36.8 + 37. Let v = 0 + 1. Which is the biggest value? (a) v (b) j (c) w (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -6. Let w = c - -10. What is the third biggest value in w, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168617 divided by 6\nAnswer: 168617\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 282481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 246*y**2 + 30*y - 8. Let s be k(1). Let t = 194 + 141. What is the highest common divisor of t and s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-2*3 + 0 - 5*(3 + 2*sqrt(11) - sqrt(11) - sqrt(11))*-4)**2.\nAnswer: -6480*sqrt(11) + 35676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -555*d**5 - 6*d - 21 wrt d.\nAnswer: -11100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 - 7187*j + 14365. Determine z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.4, 2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let m(k) be the first derivative of k**3\/6 - k**2\/2 + k + 1. Let h(f) be the first derivative of m(f). Let p(b) = -h(b) + 3*y(b). What is p(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2669*s**2. Let i(b) be the second derivative of -b**3\/3 + 552*b + 4. Give i(h(r)).\nAnswer: 5338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*k**3 + 155*k**3 - 57*k**3 - 50*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1880572891 - 1880572650.99999012. Let s = n + -240. What is s rounded to 7 dps?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b + 172. What is the tens digit of w(28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -4, -8.\nAnswer: -8, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*4\/17. Let l = 12 - -10. Suppose w + l = 5*h, w - h + 8 = 2. Put p, -0.1, w in descending order.\nAnswer: -0.1, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 3)\/((-2)\/(-104))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 0 (c) 1 (d) -7.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 9)*(4*g + 4*g + 0*g).\nAnswer: -72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 2594*q**5\/15 + 2345*q**3\/3 + 11*q**2 + 2*q - 46. What is the derivative of l(g) wrt g?\nAnswer: 20752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.558376 centuries to millennia.\nAnswer: 0.3558376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -8692.2.\nAnswer: -8689.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -42, -859026 in increasing order.\nAnswer: -859026, -42, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-4) - (-985)\/(-788). Solve 0 = q*n - 5*l + 10, 4*n - 9*n = -5*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v + 96. Let n(i) = 5*i + 93. Let s(x) = 6*a(x) - 7*n(x). Let k(w) = -4*w. Give k(s(z)).\nAnswer: -4*z + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23573 + -23489. Calculate the remainder when g is divided by 61.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2332562 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2) + (4 - 2). Suppose 0 = -y - 0*y + 13. Let u = n + y. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o + o + o - 6*o to the form v + i*o and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 0.03357?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66*(-30)\/(-9)*(-20)\/800*8?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**6 + 7602*j**3 - 14*j**2 - 197*j wrt j?\nAnswer: -480*j**3 + 45612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*w = 17, 2*c + 2*c + w = 11. Suppose 2*p = -10, v - c*p = -3*p + 99. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 2:20 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(7)*-5*-3))**2.\nAnswer: 1080*sqrt(7) + 56736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 1\/105*o**6 + 2*o + 0*o**3 + 0*o**2 + 0 + 1\/70*o**5 + 0*o**4. Factor c(p).\nAnswer: 2*p**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.364 - 0.36417. Round w to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 12595904 = -3575408 + 3300387. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:46 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 86.586781 times -0.5\nAnswer: -43.2933905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(4\/((-5)\/(-5))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k*k**(-1\/3))\/k))*k)**(3\/28)*(k\/(k\/((k*k**(-2))\/k*k))*k*k)**30)**(-10) assuming k is positive.\nAnswer: k**(-2105\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 646, 3, 2, 0, 25 in increasing order.\nAnswer: -5, -1, 0, 2, 3, 25, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yee when three letters picked without replacement from eueeueyeuue?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.58*1.0175\nAnswer: -2.62515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*q + 45, -36 = 2*c + 134*q - 130*q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15830858 (base 9) to base 3.\nAnswer: 112221000221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -2\/721, -1059.\nAnswer: -1059, -2\/721, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q - 26. Let k be 2\/(-8) - 3\/(-12). Let a be c(k). Let y = 22 + a. Are y and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*o + 5*o + 1380 = 0. What is the lowest common multiple of 60 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 11 + 3)*(a - 2*a + 2*a - 2*a - 4*a + a - 4*a + 0*a + 5*a - 2*a + 3*a - 2*a + (6 - 2 - 2)*(-3 + 3 - a) + 3*a - 2*a - 2*a - 2*a + 3*a + a).\nAnswer: -60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2365848350 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4344218*o**5 + o + 493011 wrt o?\nAnswer: -86884360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 93\/156 - (-156)\/1014\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 8*l**3\/3 - 3*l**2\/2 + 8*l - 1. Let p = 443 + -448. Is w(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 2. Let j be v(0). Suppose 11 = -2*w + 1. Let q(i) = -i + 3. Let r(z) = -3*z + 7. Let k(p) = j*r(p) + w*q(p). Differentiate k(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:07 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = 14*o - 8*y + 28, 2*o - 208*y + 15 = -207*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26 + -32 + 69\/12)*-2. Which is smaller: 2\/795 or h?\nAnswer: 2\/795","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, 0.2, 6, -16\/55, 22?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40783*f**3*r**2*u - f**3*r**2 - 2*f**3*r - 58*f**3*u - f**2*r**2 + 1118644*f*r**2 wrt u?\nAnswer: -40783*f**3*r**2 - 58*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*b - 22*b - 9*b + 46*b + 5*b**2 + 10 in the form m*b**2 + u + h*b and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 82*s**2 - 1696*s - 1695. What is k(-1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n**3 + 2*n**2 - 3*n - 45. Let g(h) = 11*h**3 - 3*h**2 + 4*h + 38. Let x(y) = 6*g(y) + 5*s(y). Calculate x(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 44?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12*(27\/(-18) - (-705)\/(-18)). What is the greatest common factor of 61 and j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000b (base 14) in base 2?\nAnswer: 10010110000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27991 + 94886 = 2514*k - 4962 - 43787 for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + -0.1. Let k = 0 + v. What is the second smallest value in k, 1\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43\/30, -0.4, -3.2, 27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, j: 11, a: 3}. What is prob of sequence ad?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29040197\/378 - 76826. Find the common denominator of l and 35\/24.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 430*p - 386141. Calculate j(898).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-21)\/140)\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243272 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14288 + 0\nAnswer: 14288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592865002?\nAnswer: 2, 41, 7230061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7 - (-1 + -13)) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 9402306 and 9402307 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21398 divided by -26?\nAnswer: -823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 2:21 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -510*v + 7132. What is j(14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 6, v: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -750588 or -750582?\nAnswer: -750588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2860 = -5*g, -3*g + 584 = -6*i + 7*i. Calculate the least common multiple of i and 92.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 683, 1335, 1957, 2549?\nAnswer: 3111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**4\/4 + 5*q. Let a(w) = 3*w. Calculate u(a(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3657 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/3 + 8\/(-12). Let o = a - -6. Suppose 5*x - o - 16 = 0. Solve 0 = -0*v + x*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*s + 587*s + 63744 = -563*s for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 less than -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1245*0.1187.\nAnswer: 0.01477815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 14 - 31 - 8*m**2 + 11.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**4\/18 + 32*k**3\/27 + 52*k**2\/9 + 32*k\/3 + 302. Factor b(m).\nAnswer: 2*(m + 2)**2*(m + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - -4*-3*sqrt(99)) + sqrt(99) + 3)*-4.\nAnswer: -12 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-147)\/(-15) - ((-8)\/(-10))\/(-4). Let i be -2 + 18\/w - 3\/(-15). Solve q - j + 3 = i, -14 = q - 4*j - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 26*m + 3. Let x(z) = 9*z + 1. Determine -6*u(w) + 17*x(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 80?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1166 + -493?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:15 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30, 53, 86, 135, 206, 305, 438, 611?\n\"Answer: d**3 - d**2 + 19*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -2 + 6 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/l**(8\/5) assuming l is positive.\nAnswer: l**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejpzz. Give prob of sequence jz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 - 193. Solve -2*x = z*f + 7, -3*x = 3*f + 4 + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*i - 17, 0 = 2*z + 2*i + 6. Let p = 4.90358 - -0.09642. What is the nearest to z in p, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(704) + (sqrt(704) + sqrt(704)*3 - sqrt(704))))**2.\nAnswer: 180224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323256 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(684) + -1 + sqrt(684) + 1 + sqrt(684) + (3 + sqrt(684)*2 - sqrt(684)) + sqrt(684) + -2 + sqrt(684) + sqrt(684) + 0)**2.\nAnswer: 336*sqrt(19) + 33532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 99ac6 (base 13) to base 9\nAnswer: 464237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q = -1336 + 405 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31535 and 53.\nAnswer: 31535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:45 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2834 - -8712. Let u = a - 161547\/14. Calculate the common denominator of 6\/(-42) - 5265\/(-12600) and u.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2924946 and 59\/1713?\nAnswer: 1670144166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*n - 6 = 0, w + 5*n = -13 - 9. Let l = -13 - -21. Let y = l - w. What is the second biggest value in y, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-2))\/(-4 + 2). Suppose 3*d = -a*d. Let i be (1 - 0)*(d + 0). Solve 0 = 4*x + 5*m - 8, -x + 6*x - 3*m + 27 = i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Let c be g(-1). Let s = 5 + c. Calculate the remainder when (2\/(-2))\/(1\/(-13)) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 849872657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (-1*sqrt(170)*-2 + sqrt(170)) - (sqrt(170) + sqrt(170)*2)*-5)\/(sqrt(90) + sqrt(90)*4*3 + sqrt(90)) + 4.\nAnswer: 13*sqrt(17)\/42 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.2 (c) -0.003 (d) -9.1198\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10167? (a) -0.5 (b) 0.6 (c) -0.2 (d) 1\/2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 353389, 353405, 353421?\n\"Answer: 16*g + 353373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1280*o - 2 + 505*o - 993*o - 793*o as r*o + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613422?\nAnswer: 2, 3, 53, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2 = 23. Let k(n) = 21*n - 2. Calculate the remainder when k(z) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(4 + 1 + sqrt(3)) - 2*(sqrt(243) + 2 + sqrt(243) + sqrt(243)))*-6)**2.\nAnswer: 146880*sqrt(3) + 430416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-364)*28\/(-8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 9*l - 16. Let d be u(6). Let j(b) = -3*b**d + 0*b**2 + 7*b**2 - 3*b**2 + b + 4. What is the lowest common multiple of j(0) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040544 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7662919621976 plus -3?\nAnswer: -7662919621979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32884 + -18568. What are the prime factors of b?\nAnswer: 2, 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(5\/4)*x*x)\/x)\/(x\/(x**4*x)))\/(x*(x**(-4\/5)\/x*x)\/x*x*x**(-5)) assuming x is positive.\nAnswer: x**(221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 2. Let s(a) = -1. Suppose 6*d = 8 - 20. Calculate d*s(m) - l(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.001, -0.4, 0, 0.04, 5, -0.033, -0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, 4, -3, 0 in increasing order.\nAnswer: -102, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 56 = 2*r + 7*a, 5*r - 3*a - 101 = 0. Let f = r + -4. Let o = 50 - f. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.89595 take away 2.43?\nAnswer: -16.32595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-115)\/(-4) - (-1)\/4. Let l = 131 - 71. Let c = l - n. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)\/p*p**4)**(-4\/17))**(-9\/4) assuming p is positive.\nAnswer: p**(-9\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2139786 divided by -152\nAnswer: -1069893\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + -5 - (-6)\/(-2). Solve -2 = n*r - r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 556083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185*f*l**2 + 12*f*l - 67*f - l**2 + 685094*l wrt f.\nAnswer: -185*l**2 + 12*l - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 123, 122, 121?\n\"Answer: -l + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 234 - 24. Suppose 0 = 4*f + f - n. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 656 and 139.\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 707, 1512, 2401, 3392, 4503, 5752, 7157, 8736?\nAnswer: 10507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.28 and -10?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 9*x**3 + 7*x**3 - 2*x**3)*(-x**2 + 2*x**2 - 2*x**2).\nAnswer: -14*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 + 113. Let f(q) = q**3 - 5*q**2 - 8*q + 9. Determine f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 5. Let z(r) = 9 - 11 - 10 - 2*r. Let j(h) = 5*h - 3. Let m be j(3). Let i(c) = m*w(c) + 5*z(c). Let q(a) = -a. What is q(i(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*u + 29 = -0*u, 7*u = 5*n - 51 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -148 + 5?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*q - 2 = a, a = 3*q + 14. Suppose t = -0*t + a. Is 52\/(t + 0) + -2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14\/285 + 5069\/4560. Suppose 5*x + 2*f - 3*f = 4213, 3383 = 4*x - 5*f. Let z = -1653\/2 + x. What is the common denominator of v and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753989980 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4278 = 16*i - 714. Calculate the smallest common multiple of 572 and i.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66.92 - 50.92. Sort v, -6\/5, -1.\nAnswer: -6\/5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1997179.\nAnswer: 1997179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*g**5\/17 + 62*g**4\/17 - 52*g**3\/17 - 52*g**2\/17 + 62*g\/17 - 10\/17 = 0. Calculate g.\nAnswer: -1, 1\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/(10\/(-3 - 2))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12816 and 51264?\nAnswer: 51264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 50 = -2*r - 24, -4*r = 27*n + 123 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2199 or -2158?\nAnswer: -2158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/10)\/((-34)\/(-85))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-370)\/148*2*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -72, -109, -146?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19701505806 take away 39?\nAnswer: 19701505767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 - 3*n**3 + 2*n**3 - 3*n**4)*(32 + 8*n - 32).\nAnswer: -24*n**5 - 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 16.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 6, 4, -2284, -4 in ascending order.\nAnswer: -2284, -4, 4, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/23 in -5, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 at least 584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 82*u**3 - 12*u**2 - 29*u. Let c(l) = 244*l**3 - 35*l**2 - 85*l. What is 12*c(k) - 35*f(k)?\nAnswer: 58*k**3 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3177151 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1\/30*-2). Calculate the highest common divisor of j and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7998073792 to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (137 + -130 - (9 - 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*o - 436*o - 1727*o + 42504 = 1104*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, 1.74, -1084\/9, 0, 77?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 904 and -0.1.\nAnswer: -90.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.2716 * -0.76\nAnswer: -0.966416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 4)*(0*h + 3*h - h) + 4*h - 2*h - 3*h)*(4*h**2 - 3*h**2 + 11*h**2).\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1\/9, 0.5, 0.06 in descending order.\nAnswer: 9, 0.5, 0.06, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5369, -5, -9 in descending order.\nAnswer: -5, -9, -5369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ool when three letters picked without replacement from llotollotxt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1217395931*5.\nAnswer: 6086979655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 6. Suppose 5*p - m + 62 = 0, -274 = 4*p + 5*m - 207. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-12))**(1\/63)*c\/c**(-15)*c**(-21) assuming c is positive.\nAnswer: c**(-326\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s**4 - 8*s + 2*s**3 + 20*s**4 - 11*s**4 + 14*s**2 - 6*s**2 = 0. Calculate s.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674 = 10*d - 104*p, 2*d - 14 = -273*p + 269*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 664 divide 7134016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q - 1252*q**3 - 18*q + 1231*q**3.\nAnswer: -21*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 712544380 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 the cube root of 441515413 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 - 1.55. Let w = k + 2. Which is the biggest value? (a) w (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + r**2 - 16 - 30 as k*r + g + a*r**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4935)\/2961)\/((-170)\/(-18))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 945326.5 rounded to the nearest 1000?\nAnswer: 945000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 72380659 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**0*o)**(-18\/7)\/(o**10*o*(o**(-3)*o*o)\/o) assuming o is positive.\nAnswer: o**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11450 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -289 times 4\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -322 - -322. Solve -6*n + 0 - 18 = t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5563700 greater than or equal to -5563594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20716.9778 - -20469. Let v = -248 - i. Round v to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(208) + sqrt(13) + 0 + -3*(-4 + (sqrt(13) - sqrt(13)*1)))**2.\nAnswer: 100*sqrt(13) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2*32\/56.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11\/(((n**1*n)\/n*n)\/n))**(-2\/115) assuming n is positive.\nAnswer: n**(-4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, q: 2, e: 1, w: 4}. What is prob of picking 2 i and 1 q?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3665.78 millennia to years.\nAnswer: 3665780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/((a**3*a)\/a)*a)**27*(a\/a**(-27))\/(a*a*a**(-8\/3)*a*a) assuming a is positive.\nAnswer: a**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - w + 1. Let g(v) = 264*v**2 - 66*v + 66. Determine 198*a(t) - 3*g(t).\nAnswer: -594*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 12. Let c be d(9). Suppose 0 = c*v + 265 + 254. Let y = 304 + v. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 32 + 14 = 0. Let z(y) = -y + 1. Let g(r) = -5*r**3 - 5*r + 9. Let w(x) = i*z(x) - 2*g(x). What is the second derivative of w(m) wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2000 and 85825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7623) - (sqrt(7623) + 3*sqrt(7623) - sqrt(7623)))\/((sqrt(45)*1)\/sqrt(5)).\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - r = 4*r - 10, 5*r - 30 = -t. Suppose 5*c = t*s + 2455, 25 - 37 = -3*s. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 370 = -302 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34100331 (base 5) in base 7?\nAnswer: 2356621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3*y - 15576*l**3 - 4*l**2 + 1001*y - 20 wrt l.\nAnswer: 9*l**2*y - 46728*l**2 - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from dddydddddddyd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-648)\/2376)\/(2\/4)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 22*b + 57. Determine i(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476443264.\nAnswer: 2, 37, 311749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 7*z - 4. Let i be r(8). Let s(m) = m**3 - 5*m**2 + 5*m + 4. Let y be s(i). Suppose 5*n + y = 33. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -897.07 + 897. Which is the closest to -2? (a) 3 (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103453 (base 11) to base 2.\nAnswer: -101000011011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -367\/2200 + -3\/200. What is the biggest value in -2, z, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let k(b) = 6*b - 1. Let w be ((-25)\/(-4))\/(2\/16). Suppose -3*d + 5*r + 12 = -28, -5*d + 5*r = -w. Determine d*t(a) - k(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 8329590.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 70638 in decreasing order.\nAnswer: 70638, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -319413.\nAnswer: -40\/319413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 630659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5699.2 rounded to the nearest 100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 5*s)*(1 - 1 - s**2) + (-s**3 + 0 + 0)*(4 - 2 - 3) + (s**2 - 2*s**2 + 0*s**2)*(-2*s + s - s).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -360 - -13?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, 41, 1 in decreasing order.\nAnswer: 41, 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.36 - -4.36. Is w greater than or equal to -506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1433, 2843, 4225, 5579, 6905, 8203, 9473?\n\"Answer: -14*i**2 + 1452*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1184 times 23216\nAnswer: 27487744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 150*j + 2436. Let i be z(-16). Solve -i = 6*h - 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2. Suppose 12 = 3*k - 3*c, -k + 0*c + 4*c + 10 = 0. Let y(o) = 4*o**2 + 4*o**2 - 3*o**k - 2*o**2. Give y(a(b)).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2923308147.\nAnswer: 3, 974436049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n**2 - 12*n - 9. Determine j(-5).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120869401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 149112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -972*o + 30143. Calculate l(31).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1409830566, -1409830565, -1409830564, -1409830563, -1409830562, -1409830561?\nAnswer: -1409830560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6) + (-172531)\/(-222). Let k = i + -202. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 13 + (-1 - (-1 + 1))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 11*r + 8. Let y be f(-11). Suppose 18*l + 192 = 24*l. Calculate the least common multiple of l and y + -6 + 3*2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 3*x + 2. Let d be b(-2). Let c be 2\/d*(-14)\/77. Let s = -27 - -31. What is the closest to -0.2 in 0, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 738*h*x**2 + 3879*h + 5038086*x**2 with respect to h.\nAnswer: 738*x**2 + 3879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 1813448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/8922 and -14\/732969.\nAnswer: 2179849806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17754*x**2 + 473*x**5 - 17754*x**2 + (-2*x**4 + 2*x**2 - 2*x**2)*(x + 1 - 1).\nAnswer: 471*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Suppose -3*b = -a*b. Let g = 37 + b. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j - 5. Let o(n) = -3*n - 4. Let c(i) = 8*i + 11. Let b(d) = 4*c(d) + 11*o(d). Let m(t) = 4*b(t) - y(t). Is m(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -6522.636.\nAnswer: 6522.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2321221 - -231300?\nAnswer: 3213121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((5\/15)\/((-110)\/(-165))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10) + (-1)\/5. Suppose -5*p - 5 = l, 5*p + 1 = i - 2*i. Solve -2*c - i*x = 8, -c + 4*c = -4*x - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 1. Let d = m + 5.4. Let f = 0 + d. Put f, -1\/7, 0.5 in increasing order.\nAnswer: -1\/7, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 680.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*q**3 - 64 + 75 - 22*q**3 + q - 179*q**4 wrt q?\nAnswer: -2148*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*x)*(-x + 2*x**3 + x) + (x - 5*x + 5*x)*(0*x**3 - 2*x**3 + 0*x**3) + 13 - 13 - 12*x**4 - 3*x**4 + x**4 + x**4.\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/2)\/((-1)\/1). Suppose -v + u*v = -8. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 191 - 128. What is the least common multiple of 154 and r?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/(-12) - -10)*34\/(-340).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87276639 is divided by 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5283.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251 by -2145.\nAnswer: -251\/2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 1. Let g(w) = -4*w - 2. What is 6*g(m) + 13*o(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1169792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -5 (c) 168 (d) 119 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 1\/10*u**5 + 0 + 1\/8*u**4 + 4\/3*u**3 + 0*u + 12*u**2. What is the tens digit of d(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 12*m - 8*m. What is the third derivative of 7*t**2 + 0*t**5 + 0*t**5 - 24*t**m + 72*t**2 - 137*t**6 wrt t?\nAnswer: -19320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136211, -272382, -408553, -544724, -680895?\nAnswer: -817066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 + 501533*z + 501532 = 0 for z.\nAnswer: -501532, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**7\/2 - 77*b**5\/10 - 14*b**3 - 3*b**2\/2 + 231*b + 2. What is the second derivative of q(z) wrt z?\nAnswer: -420*z**3 - 924*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -8483\nAnswer: -42\/8483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 5*a + 4. Let l be p(-6). Let o be (l - -1) + 2 - 1. Let k(g) = o + 2*g - 3*g + 1. What is k(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249103, -498194, -747285, -996376?\nAnswer: -1245467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-178)\/216) + 87\/348?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*t - 163*t + 862*t + 1962*t.\nAnswer: 2472*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 + 4*x**4 - 182*x**3 + 632*x**2 - 744*x + 288 = 0.\nAnswer: -12, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) -0.47 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 666341186 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(468) + (sqrt(468) - -1*sqrt(468)) + sqrt(468) + sqrt(468))**2.\nAnswer: 120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4735733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81112*f + 81033*f - 162146*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:35 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 51*k**2 + 160*k - 16. What is the remainder when l(8) is divided by 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1069*n**3*s**3 - 2*n**3*s - 6*n*s**5 + 206*n*s - 27 wrt s.\nAnswer: -6414*n**3*s - 120*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36484, 36492, 36500, 36508, 36516?\n\"Answer: 8*x + 36476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 45*s**2 + 79*s - 293. Let z be c(-43). Solve 0 = 3*n + n - l + 13, -2*l = n - z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954 and 742?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 256\/12 + (-3)\/9. Solve -18 = -3*d - 0*j + 3*j, 4*j = d - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20000131 (base 4) to base 3.\nAnswer: 1122222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u - 6. Let v(i) = 9*i + 12. Give 5*g(w) + 2*v(w).\nAnswer: -2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232273 is divided by 201.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + (-13 - -23) - 11) + -6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 1, o: 2, r: 2, n: 1, a: 1}. What is prob of picking 1 n and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + 110 = 501. What is the greatest common factor of 943 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1499*w - 3398*w + 1318*w to j + r*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -800\/7089 - 2\/417. Put k, -3\/7, 8 in ascending order.\nAnswer: -3\/7, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 13338521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 4*m**2 - 7*m - 3. Let a be q(-5). Let g = -2 + a. What is the remainder when 13 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/24)*b*b)**39)**(11\/3) assuming b is positive.\nAnswer: b**(7007\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*j - 5*j + 156 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -84252 divided by -28084\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s - 57. Let m be o(6). Suppose 3*p = -3*c + m, 2*p + 5*c - 7 = 18. Solve 0 = 5*g - p*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-1 + -3 + -6*1*sqrt(1100) - (-2 + sqrt(1100)*-2*5)*6)**2.\nAnswer: 9540*sqrt(11) + 3089981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -41. Are u and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 r when four letters picked without replacement from uprprrpwrruvuro.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 1 - 10*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028854 rounded to 4 dps?\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -230\/51 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from pcppeepisp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 5*o = 57845. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 11*i**2 - 18*i + 5. Let t be k(-9). Suppose 0 = -t*r + 429 - 169. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 44*v - 78. What is y in -1\/3*y**4 + 0 + 1\/3*y**3 + 0*y**v + 0*y = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.928 - -0.528. What is the third smallest value in -1\/20, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 486157\/54 - 9002. What is the common denominator of -62\/21 and z?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v + 141 = 0. Let u = -24 - v. Let b = u - 4. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) -22 (b) 0.1 (c) -4\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -117*a + 7. Calculate w(-1).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*s**4 - 221*s**3 - s**2 + 713*s - 13 wrt s.\nAnswer: 120*s**2 - 1326*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 8*q - 1. Let t be l(-6). Let s = t - -16. What is the remainder when s is divided by 4\/18 + (-356)\/(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18063.69579ns?\nAnswer: 0.000000000029867221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84387005*x**3 - 33801664*x**2 + x wrt x?\nAnswer: -506322030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d**2 + 113*d**2 - 29*d**2 + 63*d**2.\nAnswer: 182*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*g + 12, 5*g = -5*x - 24 - 1. Solve 18 = -g*l + 3*t, -t - 1022 = 3*l - 1020 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.89164t in micrograms?\nAnswer: 23891640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -689*i + 689*i + 45*i**2 to the form l*i**2 + r + c*i and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x - 7. Let k(c) = 1. What is -3*k(m) + u(m)?\nAnswer: -m**2 - m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014148 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 56*g + 60 = 60*g, -10*k + 8*k + 5*g = -5*k - 90 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10010001000001000000011?\nAnswer: -10010001000000111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-44))\/((-8)\/32)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 892999337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-4) + -2 + (-738)\/72. Let d(p) = 2*p + 2. Let b(c) = -6*c - 6. Calculate q*d(t) - 4*b(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -406 > -409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 51220123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.03 - 27.66. What is j rounded to one decimal place?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2. Let q = -95 - -109. Let m(z) = -10*z**2 - 4*z**2 - q*z**2. Give v(m(c)).\nAnswer: -1568*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36 - -2)\/(-1) - 0. Let d = 2 - z. Let r = 21 + -5. What is the greatest common divisor of r and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - 27.1298540573.\nAnswer: -27.1798540573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 + 1382*l**5 + 513*l**2 - 2.\nAnswer: -240*l**3 + 82920*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {u: 4, s: 4, y: 2, r: 5, o: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:16 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/150)\/(21\/70)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vaavaavavv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.2 + 14. Let d = -5.3 + n. Let k = -1.1 - -1. What is the third smallest value in k, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/15 + 11923808*u\/3 - 19873014\/5 = 0. Calculate u.\nAnswer: -29809521, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from aayyyayyyyyy?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 - 112220?\nAnswer: -113103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -4*c - 3*j + 22, -3*j = 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189225303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 33 = -0*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 718 divide 1159712083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.99451 + 0.99409187. What is s rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(252) + -3)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - o. Let x(w) = -5*w**2 - 6*w. Determine -6*n(s) + x(s).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 5*(0 - -1). Suppose 0*c = 4*c - 12. Suppose c = 4*p - 5. Solve -m*h - p = 3*v - v, 0 = -5*h - 5*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555892871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/320*-2*-4\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**9\/(f\/f**(-1)*f)**(-6\/7))\/((f*f**3)\/f**(-8\/7))**(-1\/56) assuming f is positive.\nAnswer: f**(261\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-50))\/((-54)\/(-135)) + (-7)\/5. Let k = -308 - -15710\/51. Which is bigger: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*sqrt(8)*4.\nAnswer: -32*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-12)*(-8)\/(-6). Which is the closest to -2\/3? (a) 5 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -23. Suppose 5*m + 192 - 47 = o. Is 6 a factor of (-1 - m)*(-10)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 9 + 12 + -1 + -5. Solve 5*w + 2 = -q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1533786323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y - 102. Let q be (5\/4)\/((-28)\/(-112)). Let t = q - y. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2911? (a) -2 (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89980830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 273*f - 502. Let n(b) = 2*b**2 + 272*b - 503. Let v(a) = 7*k(a) - 8*n(a). Solve v(q) = 0.\nAnswer: 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120698213?\nAnswer: 971, 124303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 2*u - 5*u - 1, 0 = -3*u - 2*k + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-10)\/(-2520)*14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -12. Is (c - -138)*(-1 - (-3 - 5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 114*q**2 + 12474*q + 214326.\nAnswer: 2*(q + 21)*(q + 189)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13666498, -0.1, -2 in increasing order.\nAnswer: -13666498, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.7 and 20.83.\nAnswer: 23.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/30 + 4\/10. Let m = -500 + 503. Which is the nearest to d? (a) -3 (b) -0.09 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93572 - -163999. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**6\/120 + w**5\/12 - 5*w**4\/24 + w**3\/2 + w**2. Let i = -31 + 34. What is r(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r - 5*n + 38, n = -4*r + 114. Solve -4*x + 0*b + r = 4*b, 0 = 4*x - b - 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17810406 to the nearest integer?\nAnswer: 4220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (1 - -12) + 23 + -65.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvpy when four letters picked without replacement from vssvrkprskkssvyrk?\nAnswer: 3\/19040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**3 + 7*n**3 + n**3)*(-3 - 1 - 1) in the form p*n**3 + v + k*n**2 + t*n and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 - -0.028?\nAnswer: 367.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/56 and -27\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5 = 5*v, -z + 0*z - 15 = -5*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334343 + -2?\nAnswer: -334345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2182747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 746 and 231.\nAnswer: 172326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*o - 4791, 0*o = -o + 4*f + 945. Suppose 0 = -8*r + 2915 + o. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 30*s**2 + 36*s. Let v(x) = -2*x**2 - 2*x. Let k(d) = -g(d) - 18*v(d). Let h(y) = -43*y**2 + 1. Determine k(h(w)).\nAnswer: 11094*w**4 - 516*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(((sqrt(132) + -2*sqrt(132))*-3 - sqrt(132))*5)\/(1*-6*(sqrt(12)*3 - sqrt(12))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**3 + 93*v**3 - 59*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0 - 1\/6*g**3 - 1\/24*g**4 + 0*g + 89*g**2. Let j(o) = -4*o - 1. Give -6*i(n) + j(n).\nAnswer: 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hii when three letters picked without replacement from {h: 7, i: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 10655 = -5296. What is the remainder when v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6)*(0 - 0). Let v = 3 + 1. Suppose g = -5*h + 5*d - 5, -h + 6 = v*d - 3. Sort 2, -2, h in descending order.\nAnswer: 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.8838913 - -2830.\nAnswer: 2835.8838913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 812 - 745. Solve 61*a - t*a = 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 + 125. Suppose -c*w = -9*w + x + 299, 303 = 5*w - 2*x. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u, -s + 0*s - 2*u = 0. Suppose -12*d = -11*d + 8. Let m be (s + -1)*d\/4. Solve -3*t + m*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4253, 3683, 3109, 2531, 1949?\n\"Answer: -2*t**2 - 564*t + 4819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (3 + -2)\/1. Let t be (0 - 1)*f - -3. Let s(c) = 9*c - 4. Let g(y) = -38*y + 17. Let d(p) = -g(p) - 5*s(p). Determine d(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 82, 71, 60, 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -1617 + 367. Let m = 27 - -5. Calculate the remainder when x is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 - -0.75. Which is the nearest to 7\/3? (a) -0.1 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 6 + -3 - (-39 - (2 - 1)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 527064611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9271 = 3*g, 2*j + 3*g = 6295 + 2994. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/60 + 3*l**4\/4 + 31*l**3\/6 + 4*l**2 - 81. What is f(-7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 734912 * -0.123\nAnswer: -90394.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117*c - 24 = 1109*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323302 (base 4) in base 10?\nAnswer: -7922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 11 + (-27 - -16) + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(1 + 0) + -1. Put 1, -2, q in ascending order.\nAnswer: -2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (368\/92)\/((-6)\/(-1))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 at most -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -150271198*n**2 + 30461*n**5 + 150271198*n**2 + (0*n - n + 3*n)*(-n**4 - 2*n**4 + n**4) + n**5 + 3*n**5 - 2*n**5.\nAnswer: 30459*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(91)\/(sqrt(224)\/sqrt(2)).\nAnswer: sqrt(13)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoqoqoq. Give prob of sequence qoq.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*p**2 + 300*p**2 - 135*p**2 in the form x*p + g*p**2 + w and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 = 2*x. Suppose j - 14 - x = 0. Let w = 31 + -25. What is the least common multiple of w and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o - 4. Suppose 0*w = t - 5*w + 11, w = 5*t - 41. Let x(p) = -6 + p + 8 + t*p + 7. What is -9*f(v) - 4*x(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l - 7*l - 31*l**2 + 18*l**2 - 9*l wrt l?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, -1, 5 in decreasing order.\nAnswer: 5, -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.2. Let w = -1 + j. Is w < -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/9081 - 3028\/9081. What is the nearest to -1 in 3\/5, -3\/5, -2, j?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -8. Let j = p - 11.6. Let y = 1.599993 + j. What is y rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -126*b + 2724. Give x(29).\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -355000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.189 + -129.139. Round i to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(147\/(-6))*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 1. Let a(d) = -11*d - 14*d + 103 + 28*d - 104. Calculate 2*a(v) + 5*p(v).\nAnswer: -4*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/(-60))\/((-12)\/30)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - b**2 + b + 174. What is the units digit of d(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*n - 22, 2*n + 9*d = 4*d - 4. Suppose n*l - 15 = 0, 5*r = -2*l + 14 + 206. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25127*j**4 + 2*j**2 + 3442*j?\nAnswer: 603048*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -293\/13545 or -1?\nAnswer: -293\/13545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*z = -48, -10*d + 7*d + 4*z + 16 = 0. Let a = 28 + -16. What is the first derivative of d + 0*w**3 - 1 + w**3 + a*w**3 wrt w?\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 11 = -5*k, -2*m = -0*k + k - 1. Let j(x) = -33*x**3 - x - 1. Let d be j(m). Suppose 5*z - d = 392. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 346410, 1385625, 3117644, 5542467, 8660094, 12470525?\n\"Answer: 346402*b**2 + 9*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*p - 165*p - 164*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/5)\/v*v)\/v)\/(v**(-9)\/v*v*v))\/(v*v**3*v*v**(-8)) assuming v is positive.\nAnswer: v**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 2*h + 4. Let m be x(2). Suppose 10 = 2*a, -m*y - 5*a - 96 = 15. Let s = -4 - y. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1934362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -1. Let z = -1364 + 1364.1. What is the closest to z in 1\/4, o, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 13262 = -8*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((10\/3)\/(-2)). Let c = 31 - 125\/4. Let g = -7\/12 - c. Which is smaller: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 2*d - n + 6*n, -d - 5*n = -63. Solve -g + 13*g = d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-4) - -3)*6. Solve 2*q - 30 = 6*q - 2*z, -4*z = m*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327643 divided by -103\nAnswer: 3181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40278 and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 37*t**2 - 37*t - 38. Let x be u(38). Let q(f) be the second derivative of -7*f + 0 + x*f**2 + 1\/3*f**3. Let p(g) = 19*g. Determine q(p(h)).\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 10*p**2 + 10*p. Let t be a(9). Suppose 4*s + 5*u = 26, -t*s = -10*s - 4*u + 12. Suppose -9*q + 4 = 22. Put -5, s, -4, q in decreasing order.\nAnswer: s, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 65*n**2 - 908*n - 26. Give j(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-15))\/((-2)\/5*1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, 31, 48?\n\"Answer: 17*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faaadafafafaaada. What is prob of picking 1 d, 1 a, and 1 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -60. Let v = r - -118. Suppose -v*i = -7*i + 1380. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134024 = 2010358\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.564 * -15.\nAnswer: 563.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-30)\/252*(-9)\/(-20)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.2206201.\nAnswer: 4.7793799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 3688181 + 3688181.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-10)\/(-4))*(13 - (-438)\/(-18))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(14)\/sqrt(2) - sqrt(7) - (sqrt(14)\/sqrt(2) + -3))**2.\nAnswer: -14*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44863271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1375\/14 or -97?\nAnswer: -1375\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/15))**(7\/12))**(1\/50) assuming m is positive.\nAnswer: m**(7\/4500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4229 + 4251. Solve t + 5*w = j + 4, -4*w = 4*t - 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -1943.\nAnswer: -1942.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28298 or -28303?\nAnswer: -28303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12 (b) -74\/7 (c) 4 (d) 2\/67 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -321.675 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.1 + 1.1. Let b = -0.3 - -0.4. Let r = -21 - -22. What is the nearest to r in 1, p, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + (-846)\/(-54). Suppose t = -1296*g + 1304*g. Solve g*f = -4*u, 0 = 2*f - 5*f - 2*u - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135035 + -3?\nAnswer: 135032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14*1\/(-3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 394700 or 394682?\nAnswer: 394682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -407, -1671, -3779, -6731, -10527?\n\"Answer: -422*y**2 + 2*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u**3 - 8*u**3 + 20373 - 20373.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3445 is divided by 305?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 - 262 = 5*a. Round a to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/(-143)*(-2132)\/(-9348)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -135, -116, -97, -78?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 669384450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 6*g**2 + 6*g. What is k(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*w - 2*q, -71 = -5*w - 14*q + 17*q. Suppose -624 = 4*y - w*y. Calculate the remainder when 181 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1258 - 28928\/23. Let g be 10\/(-3)*(-1)\/46. Let v = g + k. What is the biggest value in v, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/6 - (-2)\/(-1). Let r = -4 + g. Suppose r = 5*d + 2*y - 180, d + y + 2 = 38. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -884*o + 6*o**2 - 3*o**2 - o**2 + 2896*o - o**2 to the form x*o + t + s*o**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -71572 > -71577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**1)**(3\/5)*b**6*b**(-4) assuming b is positive.\nAnswer: b**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496\/(-620)*18\/12*-10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281 + -55. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 5*v**8\/336 - v**7\/210 - 61*v**4\/24 + 6*v**2 - 3. Find the second derivative of h(o) wrt o.\nAnswer: 100*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 5*j**2 - 6*j + 1. Let g be r(4). Let z = -13 - -64. Let m(i) = -3*i**2 + z*i - g*i - 26*i. Let f(y) = 3*y. Give f(m(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3*w + 11 - 18)*(5*w**2 - 5*w**2 + 2*w**3) in the form z*w**3 + b*w + u*w**2 + c*w**4 + n and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2*h - 3 - 6, -2*q + 2 = 2*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2 + sqrt(567) + -2 + 2 + 1)**2*1 + 2)*-2.\nAnswer: -1137 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*q - 33*q + 101*q + 166*q**2 + 6 - 35*q + (1 - q - 1)*(3*q + 0*q - q) - 3*q**2 + q**2 - q**2 - q + q + 2*q**2.\nAnswer: 163*q**2 + 4*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -3882, -13260, -31552, -61728?\nAnswer: -106758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 - 1. Let k(z) = -3*z**4 + 6*z**3 + 4*z**2 + 3*z - 7. Let r(v) = k(v) - 5*y(v). Solve r(j) = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - f + 30, -2*f + 27 = 3*m - 3. Suppose -2*r + 43 = 5*i, -3*r - 5*i + 52 = -m. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 7. Let f(u) = u**3 + 5*u**2 + 3*u + 1. Let g be f(n). Let k = 1 + g. Solve 3*j - 4*x = 3 + k, j = -3*x - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 - 8*k**2 + 86*k - 105. Let z be o(13). What is the greatest common divisor of 24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/35, -4, -45, -0.18, -0.5?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17877 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/20)\/3*4\/6. Put 0.3, -0.3, 3\/7, d in ascending order.\nAnswer: -0.3, 0.3, 3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244 - 153. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (36 - (45 + -36)) + 33?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -600593.02 take away 0.08499?\nAnswer: -600593.10499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 68. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + k + 31 = -0*k, 0 = 4*a + 2*k + 126. Let q = 32 + a. Sort -2\/13, q, -1\/2, 0.1 in ascending order.\nAnswer: -1\/2, -2\/13, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-one halves of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 59, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b + 393*b + 303*b)*(b + 2 - 2).\nAnswer: 705*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -114a9 + -5?\nAnswer: -11503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -16. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from wtuay.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - d - 22 = -4, -3*n = -4*d - 18 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13020859*o**2 + 6868974*o - 4.\nAnswer: -26041718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3364 and -423.\nAnswer: -1422972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129947 and 402901?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 - 1472697*q + 490900*q + 490904*q + 490893*q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 6. Let o(c) = z + 5*c**2 + 0*c**2 - 4*c**2 - c**3 + 2*c - 3*c**2. Does 10 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181987 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.402 - -10.1558. What is n rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 81*p - 3. Let o(z) = 110*z - 3. Let s(a) = -4*i(a) + 3*o(a). Determine s(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 14 = -4*d, d + 2*d - 22 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 88 = i. Suppose 0 = 3*q - 9*u + i*u - 1522, -2*u = -2*q + 1018. What are the prime factors of q?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - (sqrt(68) + (sqrt(68) + sqrt(68)*2)*-4 - sqrt(68))))\/(4*sqrt(8)\/sqrt(2))*-5.\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1368 and 8496.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 + 553333109872.\nAnswer: 553333109890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 - -117. Factor -45*h**2 - 5*h**v + 89*h + 49*h - 178*h.\nAnswer: -5*h*(h + 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-28) + (-1695)\/(-21). Let u = 118 - x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + sqrt(847))*5 + -1 + -2 + (sqrt(847) + sqrt(847) + 1)*-1 + -5)**2.\nAnswer: -594*sqrt(7) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 171\/120 - 1\/(-5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - w - 1. Let b(y) = -19 - 2 + 6*y**2 + 11 - 7*y + 4*y**2. Let c(r) = -b(r) + 2*u(r). Find the second derivative of c(f) wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 7*g**2 - 5. Let c be q(7). Let d = c + 21. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/17*(-2273852)\/(-15736)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2\/4 - 45*h\/4 - 51\/2 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a*a\/(a*a**(-11)))\/(((a\/a**(-1\/9))\/a)\/(a*a*a*a\/a**(-4))) assuming a is positive.\nAnswer: a**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 37*n - 317. Let i be w(23). What is the nearest to i in -2, 1.67, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 + 12*u**2 - u + 8. Let p(c) = -c**3 + c**2 - c - 1. Let x(o) = -2*p(o) + z(o). What is the units digit of x(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m + 7404 = 86340. Let y be m\/(-6760) - (-3)\/5. Suppose y*g**2 + 14\/13*g - 4\/13 - 8\/13*g**3 = 0. Calculate g.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2 + 20\/8. Suppose -10 - 4 = u*y + 4*g, y + 22 = -5*g. Calculate the highest common divisor of y and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3 - 18*o**2 + 20*o = 0. Calculate o.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m*r**4 - 78*m*r - 2678*m + 2 wrt r.\nAnswer: 12*m*r**3 - 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 10. Let c be a(9). Suppose 0 = c*t - 14*t - 330. Round t to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3987 (base 12) to base 8\nAnswer: -14667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.73 + 33.678. Let d = k + -26. Let u = 0.048 - d. What is the closest to -3 in u, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*f + 50*f - 85*f + 10*f**2 wrt f.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7320 - -31d9?\nAnswer: -4147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/72*-2 + (-154)\/18. Let f = h + -55\/12. Is f <= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) -3 (c) 1\/3 (d) 1 (e) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 7*g - 1. Let z be m(7). Let p be 5\/20 - z\/4. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -33*q**3 - 291*q + 7. Let c(t) = -18*t**3 - 145*t + 4. Let j(n) = 7*c(n) - 4*s(n). What is the second derivative of j(m) wrt m?\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/124 in -331.3, -0.02, 1\/6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 - -2 - (217 - 163 - (22 - 0)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -14*u**3 - 2*u**2 + 2*u - 1. Suppose -4*z = 0, 6*t - 3 = 3*t - 5*z. Let m be j(t). Round m to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 456, 911, 1548, 2367, 3368, 4551?\nAnswer: 5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*i + 136, i = 6*i - 25. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 + 0.41. Let f = 29 + -31. Which is the second smallest value? (a) o (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 488, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1266 - -1265. Let r = 0.3 + 0.7. Which is the third biggest value? (a) m (b) -5 (c) r (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2*-6*11\/1056).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -31. Let x = t - 12. What is the third derivative of -69 - 4*j**2 - x*j**4 + 69 wrt j?\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 5061213.329.\nAnswer: -5061213.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 453 and 488183?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.30076 + 2.69924. Sort 4, 1\/4, -53, g.\nAnswer: -53, 1\/4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7653 - -1?\nAnswer: 7654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 2\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(720)*-6 + sqrt(720))**2.\nAnswer: -936*sqrt(5) + 121689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 - 2 - 6 - 29*b**3 + 9*b**3 + 8.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 1 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -8 + -23 + 84\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-311054)\/93)\/(2\/(-6)). Suppose -z = -25*o + 23*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387257 is divided by 15489?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/sqrt(4)*2 - (sqrt(13) + -3 + sqrt(52)\/sqrt(4) - sqrt(13))) + 0 + sqrt(1053) + -1)**2.\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 384123.\nAnswer: -38412.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 7*l + 2. Let j be v(7). Suppose 22 = j*p - 58. Suppose 2*g = 2*w + 4*g, 5*g = 3*w - p. Solve w*x + 4*r = -0*x - 13, 4*x + 5*r = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3249693 and 621.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176289 - -16739. Let d = g + 159547.999984. Let w = 2 + d. Round w to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5, -4*o - 7 = -2*t + 3. Let d be (-4)\/18 + (-114)\/(-27). Suppose 0 = -3313*s + 9086 - 1934 + 6100. Solve 0 = -s*a + t*a + d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*o + q - 7, 4*q = -2*o + 32. Let y = -13 + 23. Let f be 1\/((y\/4)\/5). Solve 3*n = -0*n, n + o = f*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20998, -42007, -62966, -83881, -104758, -125603?\n\"Answer: -f**3 + 31*f**2 - 21095*f + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r - 7. Let l be m(3). Suppose -l*i + 61 = -214. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*g - 29, 10*p - 6*p - 12 = 0. Suppose -g*t = -828 - 250. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxxxyymummmym. Give prob of picking 3 y.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 + -1 - 1) + 0. Suppose -t*c + 106 - 16 = 0. Suppose 3*m = -5*b + 2*b + c, -5*m = 4*b - 28. Solve -2 = -b*n + 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 + 651*y + 4445. Calculate k(-7).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 111, 2, 3.\nAnswer: -3, -1, 2, 3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/60 + q**4\/3 - q**3 - q**2. Calculate c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202514305 times 2?\nAnswer: 405028610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/3776 and 43\/40.\nAnswer: 18880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 33, 825, 18?\nAnswer: 825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9480881 is divided by 4740431?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 719*g**2 + 8771*g + 716. What is i(731)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 - -49. What is the common denominator of -51\/22 and 11\/t - (-239)\/12?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-32))\/(2\/8)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33506 (base 13) to base 4.\nAnswer: -112233011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59044887 by 1789239.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {z: 2, a: 1, r: 4, o: 1, g: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2 + 23976*i - 479920 = 0.\nAnswer: -23996, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2159781814?\nAnswer: 2, 2297, 470131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10207 and 9342.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -28 - -14)\/(-1) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -1\/6 (c) 54 (d) -418 (e) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*n = 15, 30 = -4*c + 3*n + 124. Calculate the remainder when 487 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149.5 - 146.5. What is the second smallest value in 1, -1\/10, -0.2, o, 10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495518874 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.7 (b) -5 (c) 0.2 (d) 84 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 2*w**3\/3 + 53*w**2\/2 - 5*w - 1. What are the prime factors of g(15)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 3, x: 1, e: 2, d: 3, t: 1}. Give prob of picking 2 c and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -7. Let z = -29.95 + l. Let r = 0.35 - z. Which is the closest to 0.1? (a) -4 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-16))\/((-19)\/(228\/(-54)))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883.\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-99)\/(-66)*4\/6. Suppose 4*l + 4 = 4*x, l - 8 = 4*x - 0*l. Is x greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -134 and 49.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 664*i + 1629. Is k(77) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -795 + 849. What is the highest common factor of a and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(5\/4)*u*u**(-2\/9))\/(u*u\/(u\/(u*u\/(u**(-1)*u))*u))**(-2\/21))\/((u\/u**(-2))\/(u\/(u\/u**(-1\/6)))*u\/(u*u**(2\/9))*u\/(u\/u**1)) assuming u is positive.\nAnswer: u**(-61\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/81*15\/10. Which is the smallest value? (a) -4 (b) -10 (c) o (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 2. Let r be b(6). Suppose -4*o + 5*o - r = 0. Solve 4*l + o*j + 8 = 0, -4*l - 10 = -j + 6*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -622353, -4978890, -16803773, -39831174, -77795265, -134430218, -213470205?\n\"Answer: -622362*z**3 - z**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 91. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) - 1682\/522.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -31. Let w = 36 + y. Let f(l) = 2*l + 86 - 27 - 31 - 32. Give f(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-1614)*(4 + -7). Let p = g + 1399\/19906. Is p >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9133408805 to the power of 1\/4, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 q when four letters picked without replacement from eeqeeeeeq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*k**5*n - 276*k**2*n**2 - 59*k*n**2 + 500*k wrt k.\nAnswer: 980*k**3*n - 552*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 187740.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-52)*(-3)\/(15\/(-16)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173792283 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 - -1 - -2. Suppose 0 = -4*f + 5*u + 7, m*f - 2 = -u + 5. Suppose -i = -f*i + 12. Solve -4*v = -v - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2482*v + 2 + 5327*v - 2530*v to a + s*v and give s.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 242, 315, 416, 557, 750, 1007, 1340, 1761?\n\"Answer: 2*r**3 + 2*r**2 + 53*r + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q + 120 = 72*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1314333662 + -2?\nAnswer: 1314333660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1. Let r(x) = 2*x + 2. Determine -3*h(a) - r(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 9*y + 5*d = -2582, 4 = -d. List the prime factors of y.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.266 - 0.266. Sort 3, a, 7.\nAnswer: 3, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 2\/5, -5, 5, -10 in descending order.\nAnswer: 5, 2\/5, 0.03, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:36 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159 and 318?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -34006*n - 2550. Let x be v(-5). What is x rounded to the nearest one thousand?\nAnswer: 167000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/7, 1, 2\/5, -1.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(-8\/3)\/(((t\/t**(-1\/4))\/t)\/((t*t**(1\/5))\/t)) assuming t is positive.\nAnswer: t**(77\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2234 - 2030. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -958 + 955. Is y not equal to 11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -22. Is -25 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-6)\/(-1)))\/(6\/108).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4.5. Let i = n + 1. What is the second biggest value in i, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 63.762937\nAnswer: 31.8814685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {b: 6, f: 2, p: 3, j: 1, e: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -655 + 343. Let m = 356 + f. What is the remainder when 130 is divided by m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.881 times 4?\nAnswer: -7.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 138*h**2 + 129*h**2 - 265*h**2. Let z(m) = -m - 63. What is f(z(j))?\nAnswer: 2*j**2 + 252*j + 7938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2883*x + 218 - 219 - 2834*x as i*x + o and give i.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 26*w. Let p(k) = 1674856*k. Give t(p(b)).\nAnswer: 43546256*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 38 = y. Find the third derivative of p**5 + 776*p + 2*p**2 - p**y + 3*p**3 - 771*p + 27*p**6 wrt p.\nAnswer: 3240*p**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**2 - 7*o + 2. Let c be x(-5). Suppose 3*i + t = 24, 148*t - 15 = -3*i + 150*t. Solve -i*n = -c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**4\/24 + 4*y**3\/3 + y**2. Let b(c) = -c - 1. Let k be b(6). Let x be g(k). Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*18\/945)\/((-4)\/18).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247*u**4 + 219*u**2 - 90*u + 198 wrt u.\nAnswer: -2964*u**2 + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(20\/(-12))*76\/(-57)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1\/6*w**5 + 0*w**2 + 1\/2*w**4 + 0 + 0*w - 2\/3*w**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + 0.3. Let u = -0.7 - -1.8. Let i = u + -0.1. Is i greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -20424196.\nAnswer: -1\/5106049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -279 + 419*i - 561\/4*i**2 + 1\/4*i**3 = 0. What is i?\nAnswer: 1, 2, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let w(i) = -54*i + 219839 - 219839. Determine g(w(f)).\nAnswer: -108*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1492 - -2728. Suppose -6*y - 4*n = -3*y - 752, 2*n = 5*y - a. Is 31 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*1 - (2 - 3). Suppose n = z - 3 - 5, -z = 5*n + 10. Suppose z*h = 2*h + 15. Solve q - t*g = -0*q - 5, -h*q = 3*g + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/13)\/v*v**6)**(1\/18) assuming v is positive.\nAnswer: v**(23\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 128638*277\nAnswer: 35632726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142010392?\nAnswer: 2, 17751299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 996 - -259. Let m = -745 + z. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmdmmmmm?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.2593 + 327.4293. What is g rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 - 5*r - 8. Let d(t) = 4*t**2 - 4*t - 7. Give -5*c(m) + 6*d(m).\nAnswer: -m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*m + 53*m - 700. Is 12674\/10 + 20\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + sqrt(99) - sqrt(99) - sqrt(99))**2.\nAnswer: -18*sqrt(11) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215952850 to the nearest integer?\nAnswer: 14695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -3, -11, -1\/7, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4910445 plus 0.3?\nAnswer: 4910445.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10286 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l = -39*l. Suppose 0*k - 4*k + t = -7, -4*k - 3*t + 27 = l. Let z(w) = -w**2 - w**k + w - 4*w**2 + 2 + 0*w. Give z(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 7*s**2 + 8*s + 3. Let z(f) = -f + 1. Let w be z(9). Let m be h(w). Solve 2*t = 11 - m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.21, 3.5, 4\/9?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126387 - 84658. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 352 - 348 - 13*j**2 - 21*j**2 in the form g*j + a + i*j**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -63 and -29.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -13.4. Let g = -0.9 - u. Let o = 4.92 + 0.08. Which is the closest to -2? (a) g (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465*d + 13063 = 181807 + 135366. Sort d, 5, -2.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -429894.2 to the nearest 1000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 0.2 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4 (c) 0 (d) 5 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 16*p**2 - 616*p\/5 + 3872\/5.\nAnswer: -2*(p - 4)*(p + 22)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 51*v + 3. Is 18 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 21*w - 107. Let i be r(5). What is the biggest value in i, -3, -1\/49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.607 + 2098.393. Let l = -1255 + k. Let c = -848.00000409 + l. Round c to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197282.6319 - -197272.53189937. Let a = j + 10.1. What is a rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*z - 162 = -441*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 753*o - 27846.\nAnswer: -(o + 39)*(o + 714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.662389 years to decades.\nAnswer: 0.9662389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((1*sqrt(605)*-1 - sqrt(605)) + sqrt(605))*-3)**2*-1 + -3.\nAnswer: -5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2. Let l(o) be the second derivative of -11\/12*o**4 + 0 + 0*o**2 + 26*o + 0*o**3. Determine z(l(j)).\nAnswer: 363*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 425780 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126759848.\nAnswer: 2, 59, 101, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(1 - -1)*3. Solve -x - 5 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*21.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 64 = 30 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + i + 36 - 2 + 3*i**3 + 2*i + 19.\nAnswer: 3*i**3 - 2*i**2 + 3*i + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 17*k + 9. Find the first derivative of 6 + k*n**4 + 1 + 6*n**4 - 4*n**4 wrt n.\nAnswer: 44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/401 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2812082, 2812077, 2812072, 2812067?\n\"Answer: -5*j + 2812087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/13 - 38*i**2 + 14796*i\/13.\nAnswer: -2*i*(i - 27)*(i + 274)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19606*i**3 - 19619*i**3 + 111*i**2 + 56*i**2.\nAnswer: -13*i**3 + 167*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/17 - 376*l**3\/17 - 15692*l**2\/17 + 186120*l\/17 - 490050\/17 = 0. Calculate l.\nAnswer: -99, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -50 - -35 - -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {q: 1, s: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (672*r**2 - 672*r**2 + 141*r**3)*(-2 + 13 + 0) as h*r + b*r**2 + l + f*r**3 and give f.\nAnswer: 1551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2551.\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-17\/3))\/(l**(-16)\/l) assuming l is positive.\nAnswer: l**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = -3*y. Let l be (y - -7)\/((-3)\/(-4)). Let x(d) = -6*d - 2*d**3 + 2*d**3 - 4*d**2 + 2*d**2 + 2*d + d**3 - 4. What is x(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 5*n**2 - 4*n + 2. Let c be 1*(5 + -2) - 3. Suppose c = -4*u - 0*u + 12. Suppose -u*i + 9 = -5*x, 4*x - 26 = -5*i - 11. Give f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 91623*r + 274869. Calculate q(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - ((4 - 2) + -4). What is the common denominator of (4\/(-30))\/((-16)\/1404) and 5\/30*27\/d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 13. Let t be -22 - -21 - (1 - 7). Let f be -4 + ((-188)\/t)\/((-1426)\/155). What is the nearest to -0.3 in l, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -54, -100, -164?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 8:50 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 320 (b) 2\/3 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 10) to base 4\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 1570 + 80. What is the units digit of 1\/((-5)\/(-2)) + (-80465)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n + 5*f + 4 = 49*n, 4*f - 1 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -225 equal to -211\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*k**2 + 227*b*k**2 + 681*k**2 wrt b?\nAnswer: -6*b**2*k**2 + 227*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/203 and (207\/174)\/((-148)\/(-16) + 110\/(-11)).\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-504)\/(-460))\/(-21))\/((-9)\/15).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-19*(-18)\/4)\/(-15) and 118\/(-32) + (-4 - -2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22210 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3 (b) 15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/240*-10 + (-1 - 0).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from proo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 17 = -4*q, 0 = 3*q + 3*h - 2*h + 11. Let m = q - -5. What is the greatest common factor of m and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 18332277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 360576*t + 4686812.\nAnswer: 4*(t + 13)*(t + 90131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125.2? (a) 2 (b) -4 (c) 7624\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(448)*-2).\nAnswer: -sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g**2 + 63*g**2 - 135*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3978*-0.1\nAnswer: -397.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.3 - -12.3. Which is the third smallest value? (a) i (b) 0.5 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = n - 157 + 128, n = p - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153002 is divided by 76491.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g*q*s + 112*g*q*u + 5*g*s - g*u - 5*q*u + 86*q + s + 5 wrt g.\nAnswer: 4*q*s + 112*q*u + 5*s - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.471532 + -0.0779.\nAnswer: -5.549432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 20797 - 865*x - 20797 - 649*x as m + y*x and give y.\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8621*f + 4309*f + 4328*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.07 (b) 6\/13 (c) 0.2 (d) 11\/6 (e) 18.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -23.\nAnswer: 79\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-2*c**4 - 2*c**4 - 3*c**4 + (2*c**3 - c**3 - 2*c**3)*(c + 3*c + 0*c)).\nAnswer: -22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - p**2 - 3*p - 5. Let d be y(3). Let z = 999 - 10057\/10. Calculate the common denominator of d*(-2)\/(-160)*162 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -f + 13. Let p = f + -7. Suppose -x + p = 2*g + 3*x, -3*g + 48 = -4*x. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34977 is divided by 220.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.838 + 0.892. Let a = t + 0.27. Suppose -5*b - 2*r = -12, -8 = -2*b - r - 3*r. What is the third smallest value in 1\/2, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26*(-10)\/2275)\/(1\/(-10)*2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.011, 5, 0.19, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3173*y**3 - 70*y**2 + 3*y.\nAnswer: -19038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2575887 is divided by 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 173? (a) 5 (b) -0.01 (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 20 = 97. Suppose 4*b + 0*u - 3*u = f, 5*u - 3 = b. Is (178\/6)\/(b\/36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 14, w: 1, h: 2, u: 1}. Give prob of sequence uho.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64511 or -54620?\nAnswer: -64511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -17*q - 13. Let r be j(-1). Solve -r*k = -8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 13, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -533*f + 21. Let i(b) = 196*b - 8. Let u(d) = 19*i(d) + 7*k(d). What is u(7)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-8)*2\/12. Let u = -414 - -12005\/29. Let y = u + -53\/145. What is the closest to y in -2\/15, 5, f?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009737 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 8*v + 31, 11*k + 3*v - 3 = 14*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 147, 289, 429, 567?\n\"Answer: -w**2 + 145*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145.06 - -0.06. Let v = 5857518.999818 - 5857664. Let m = y - v. What is m rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -350*f**3 + 140*f**2 + 140. Let m(l) = -l**2 - 1. Give h(p) + 140*m(p).\nAnswer: -350*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1246682*c**2 - 3740042*c**2 + 1246680*c**2 + 1246682*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*m - 2*m**3 - 6*m**2 - 83 + 82 - m**4 + 5*m**3 + 4*m**3 - 6*m**3 in the form v*m + a*m**4 + i*m**3 + d*m**2 + o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 216.85 and -59.3.\nAnswer: -12859.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-27)*v*v)\/v)\/v**(-1\/4)*(v**25*v)\/((v**(16\/7)*v)\/v) assuming v is positive.\nAnswer: v**(-29\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 195 (c) 0.272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c\/(c\/(c\/c**1*c)))\/c))\/c)**(1\/6)\/(c*c\/(c\/(c*(c\/(c\/(c**(-2)\/c)*c))\/c))*c)**(-48))**40)**24 assuming c is positive.\nAnswer: c**(-92160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -2109?\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5190 - -0.009\nAnswer: 5190.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*s + 48. Let z = -32 + 47. Let h = z - s. Solve -5*u + 9 = 2*x, h*x - 3*u - 5 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 42*c - 83. Let f(v) be the first derivative of 0*v**2 + 1\/2*v**c + 7 + 0*v**3 + 5*v. Differentiate f(t) wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63 times 3?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*n + 29 - 29)*(-65*n - 13*n - 47*n) - 3*n + 6*n - n**2 - 3 - n to o + g*n + u*n**2 and give u.\nAnswer: 1874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -9. Let n(x) = -2*x**2 + 3 + 0*x**2 + x**2 + a*x. Let h(f) = -1493*f - 5965. Let m be h(-4). Give n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 7*s**2 - s + 1. Suppose 0*c + l = -5*c + 65, -3*c - 5*l = -39. Suppose -18*n = -113 - c. Calculate g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 56*c - 2409. Let u be f(44). What is the smallest value in 2, 4\/9, u?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 - 19575*b\/2 - 68586.\nAnswer: 3*(b - 6532)*(b + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1524 and 3175?\nAnswer: 38100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 2*g - g)*(-2 + 1 - 1) - g - 5*g + 2*g - 11*g - 2*g - g as f + j*g and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2 + 11*d + 19. Let i be v(-8). Let q be (-5)\/(-2)*28\/i. Which is the third smallest value? (a) -2\/7 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/(57\/5985). Suppose -6*u = -7*u - 2*a + w, -2*u + a + 135 = 0. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11777549 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*o - 55, 33 + 69 = -11*h + 49*o - 44*o for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((3 + sqrt(12) + sqrt(3) + sqrt(3)*2*5)*-5 + sqrt(48) + sqrt(48) + 1 + 2 + -2)*-4)**2.\nAnswer: 26904*sqrt(3) + 159433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-70))\/(2\/30*-6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4285106 and 5.\nAnswer: 21425530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i. Let t(v) = 2*v**2 - 30*v - 15. Let j(m) = -4*l(m) + t(m). Let p be j(-1). What is the third smallest value in 3, -0.3, -1\/35, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + -65. Let l = t + 74. Let k = -17 - l. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose -2*r - 4 = p, 0*i - 2*r + 49 = i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u - 7 = -t + 58*u, 9 = 3*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 32401130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*f + 30. Let n = 0.6601 - 0.4601. Sort -0.3, f, n.\nAnswer: -0.3, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -6)\/1 - 14\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2009373 divided by -25?\nAnswer: 2009373\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -235, -650, -1461, -2800, -4799, -7590?\nAnswer: -11305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - h - 34 = 0, 2 + 2 = 2*h. Solve 0 = 6*f - 2*f + l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 + 3*g + 2. Let n be j(3). Let w = n - 49. What is the remainder when 26 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-1 - -5))\/(12 - 23).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56772 and 21?\nAnswer: 397404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**2 + 2*p + 2. Let w be y(-1). Solve -5 = w*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) + 39418\/12. Let b = o + -3292. What is the common denominator of 2 + (-110)\/18 + 0 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568472309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4194595 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y + 1. Let l(i) = -3*i**2 - 14*i + 2. Let g(h) = 2*h**2 + h. Let a = 20 + -19. Let n be g(a). Determine n*l(w) - 8*c(w).\nAnswer: -w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.02994255 - 0.022\nAnswer: 0.00794255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.73.\nAnswer: -0.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c*v**3 - 98114*c*v + 675457*c wrt v.\nAnswer: 9*c*v**2 - 98114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.671 and 14274456554?\nAnswer: 14274456554.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/860 and 23\/70.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -232558\/63 + 32230\/9. Let g = -110 - n. Let q = 3 + -2.9. Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.06.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 3592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/60 - i**4\/4 + i**3\/3 + 2*i**2. Let f be p(6). Let m be ((-1)\/f)\/(2\/4). Which is smaller: m or -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9422599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 + 12*r - 70. Let m be t(6). Solve -w - q - 1 = 0, -2*w - 3*q = m*q + 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 33317*m - 199623. Calculate z(6).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 180*w - 358. Let m be c(2). Let v(s) = s + 13. What is v(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164.199 + 0.199. Let o = 74 + v. Let c = 87 + o. What is the third biggest value in 0, c, -4, 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10635 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 935 (base 14) to base 4.\nAnswer: 130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 6)*(-50*o - 36*o + 22*o)*(3 - 1 - 1)*(-4 + 2 - 2).\nAnswer: 1280*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239 + -292. Which is the nearest to j? (a) 0.2 (b) 0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115 + -122 + (-1 + 0 - -6) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 7*k - 15. Suppose -k*w - 19 = 5*r, -3*w + 5*r = 2*w - 35. Let b be (12\/8)\/(w\/28). Solve -b = -v - v - 5*d, 0 = 4*v + d + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4636 by 38.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8337195 is divided by 2779060.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 18*l**2 + 2*l + 30. Let r be f(-18). Sort r, 1614, 5 in descending order.\nAnswer: 1614, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-45 - -2 - -2). Let w = f + -23. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 + 1)*(-2 + 0 + 3)*(s + 4*s - 3*s)*(6 - 6 - 7)*(3*s**2 - 3*s**2 - 2*s**2).\nAnswer: 364*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-27)*-3 - 16\/(-30). Suppose -d - 3*d + 2*m - 38 = 0, -d = -5*m + 32. Let s = -731 + 731. Which is the nearest to s? (a) x (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Factor -20*n**4 + 7*n**3 - 14*n**3 + 7*n**5 + 27*n**3 - 2*n**5.\nAnswer: 5*n**3*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 116.\nAnswer: 46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 22*m = -135. Let t be 5340\/27 + (-10)\/m. Suppose 0 = -3*p - 5*u + 39, 2*p - 4*u - 55 = -7. What is the greatest common factor of t and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6569 or 4\/3?\nAnswer: 0.6569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47\/2*a**3 - 15\/2*a**4 + 0*a + 1\/2*a**5 - 33\/2*a**2 + 0 = 0 for a.\nAnswer: 0, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -342, -544, -768, -1008, -1258, -1512, -1764?\nAnswer: -2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1765 and 109783?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*s + 2, 13*s = 3*p + 11*s - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 2. Let j be p(7). Suppose 5*l - 2 = 3*q - 5, j*q - 5 = -4*l. Let t(a) = a**3 + a**2 + 3. Give t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**7\/30 + i**6\/24 + 4*i**5\/15 + i**4\/6 + 29*i**2. Factor x(p).\nAnswer: -p*(p - 2)*(p + 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3788 = q + 3732. What is the remainder when 403 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 17, 21, 25, 29?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 1 - (14 - (294 - 365))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.597309ng?\nAnswer: 0.005597309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14342*d**2 + 61533 - 61533 as m*d**2 + o + x*d and give m.\nAnswer: 14342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(320)*2 + sqrt(320)))\/(sqrt(8) - (2*sqrt(512) - sqrt(8))))\/(-5*(1*sqrt(968) + sqrt(8) + -1*sqrt(8)*-1)).\nAnswer: -6*sqrt(5)\/455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 14, -2, 1\/2, 463?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 34598.\nAnswer: 17299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/(635\/(-508))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9178.648 millimeters to centimeters.\nAnswer: 917.8648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.193 * -3.\nAnswer: -0.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2083 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4424*w**2 + 12242132141 - 12242132141 - 4425*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = 6834 - 1125. Let x = -509 - p. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 - 29 + 12 - 3*s + 1 as r + p*s and give r.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-68))\/(332\/4233)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12977 (base 10) to base 16\nAnswer: 32b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*s - 1. Let w(q) be the first derivative of 0*q**3 + 3 + 3\/5*q**5 + 0*q**4 - s*q + 0*q**2. What is the derivative of w(o) wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-4))\/(5\/(-10)). Suppose 74 - 9 = k*z. What is the highest common factor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.56. Let h(w) = -w + 6. Let g be 1\/2 + 84\/8 - 2. Let n be h(g). Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 969*d - 32694. Give r(35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16919.\nAnswer: 7, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q - 299 - 79 = -160*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/3 + 405*a - 188006\/3 = 0.\nAnswer: 182, 1033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04826 and -4402167945.\nAnswer: -4402167944.95174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101114 divided by -174\nAnswer: -50557\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-52)\/(-20)) + (-92)\/(-20). Let w(v) be the third derivative of 0*v**3 - 6*v**2 + 0*v + 1\/30*v**s - 1\/12*v**4 + 0. Factor w(t).\nAnswer: 2*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321308479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 10*c. Let z be n(10). Let g(t) = -t + 64. Let a be g(z). Suppose a = 2*k - 0*k. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102020102200 (base 3) to base 7.\nAnswer: 1610622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*(430220\/(-8624))\/(-8 - -3) - 5.\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-18)*-7*24\/(-112).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.59 - 0.09. Which is the closest to 3? (a) 0.4 (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28326181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 806 (c) -0.5 (d) -5 (e) 212435\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 5*q + 2 - 2 - 7*q. Let o be z(-6). Solve o - 3 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -3316?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1735*d - 6381 + 70576 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfvb when four letters picked without replacement from zfbvbyffvf?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*p**2 + 3*p**2 + 5*p**2)*((0*p - 3*p + p)*(3*p - 5*p + p) + 6 - 6 - p**2).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 15 = o + 4*g, 0 = -3*o + 2*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*c - 99, 2*d - 13 = 3*c - 68. Solve 3*i = -y + 12, -c = -4*y - 2*i - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -36, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2 + 7*r - 2. Calculate k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -3 - 4) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 25017171\nAnswer: 1\/8339057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/53517703 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48016392191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - 6*z + 4. Let v be j(1). Suppose -114 = -v*f + 6. What is the highest common divisor of f and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = -0. Suppose -3*n - 15 = 3. Which is the third biggest value? (a) n (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64017 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.661 - 281.661. Sort -1, 3\/5, n, -2 in ascending order.\nAnswer: n, -2, -1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -638, -2213, -5282, -10343?\nAnswer: -17894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.46 - 0.36. Let w = -21421\/34 - -630. Which is the nearest to r? (a) w (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 739\/9 + -82. Let j = -5 + 5.8. Let d = j + -0.7. What is the closest to d in -4, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1173, 1\/9, -2\/3, 1\/3, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + -1 + -5)**2.\nAnswer: -24*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggygyggggtggee. What is prob of sequence yggt?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (3 + 8 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -7 + 7 - 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76.6 - -10.4. Let w = 86.99939 - o. What is w rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 484360 and 72951.2.\nAnswer: 557311.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 7:58 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 15*j**2 - 14*j + 7. Let g be 128\/(-6) + 4\/(-6). Let x = g + 35. Calculate the remainder when x is divided by o(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 8*i**2 - 15. Let l be y(-3). Determine k so that k**3 + 42*k**5 - 46*k**5 - 20*k**4 + 20*k**2 + 3*k**l = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + -41. Let d = -20 - z. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123506314 and 1642?\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 + 132 - (0 + -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9768*r + 8742 = -9909*r for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 332128*v - 31 = 332133*v, -2*v = i - 2 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.81 + -2.17. Let d = -3 - p. Let i = d - 0.48. What is the nearest to 0 in 3, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2\/9 - 156*n - 54040\/9 = 0?\nAnswer: -35, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -981020098.\nAnswer: -981020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d. Let b(o) be the second derivative of -o**4\/12 - 13*o**2 - 22*o + 1. Let i(z) be the first derivative of b(z). Determine i(l(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -45, -150, -325, -570, -885, -1270?\n\"Answer: -35*a**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 476*s + 216*s + 171*s - 178*s to the form q*s + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 83*o - 419. What is k(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1307.2 - -1307. Let m(t) = 0*t - 5 + 8 - t. Let s be m(4). Which is the closest to s? (a) 0 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/17 + 284*g**2\/17 + 7426*g\/17 - 199712\/17 = 0.\nAnswer: -79, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 120\/(-18)*(-230175)\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/5 (b) -2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1429 = -q, -5*o - 5*q = -2*o - 2154. List the prime factors of o.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 32*r + 234. Let n(o) = -5*o + 7. Let i be n(-3). Suppose -2*w = 5*t - 77 + i, 172 = 5*w + t. What is the remainder when w is divided by u(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 17 - 26 + 34 to the form z*x + d + w*x**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 15973.5.\nAnswer: 15976.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1330 + 3?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {m: 1, t: 2, k: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in -4, 1\/129, -0.07, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2548760 and 3620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t**2 - t**2 + t**3)*(17*t**2 - 126*t + 126*t).\nAnswer: 17*t**5 + 34*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*-3*(3 + sqrt(931)*-1 - -6*(sqrt(931) + 1))*2)**2.\nAnswer: 569100*sqrt(19) + 21020941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4140 is divided by 98?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/162385145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2057)*2)**2*-4.\nAnswer: -32908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11920 and 41784.\nAnswer: 62258160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105053 - 1?\nAnswer: -105054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4766406 and 78.\nAnswer: 61963278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Suppose -2*s + 4*s - t = 0, -s = m - 1119. Is m 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 {r: 1, z: 5, d: 1, j: 3, g: 3, e: 6}. What is prob of sequence gzrg?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -58, 5\/6, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 2*m = -14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 3*x**4 + 5*x**4)*(3 - 3 + 3*x) - 2*x**5 + 12*x**5 + 2*x**5.\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.0876, -44, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 6 = 4*m, 24687*m - 3*n = 24685*m + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 + 18*h**2 + 1056*h\/5 + 968\/5.\nAnswer: 2*(h + 1)*(h + 22)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 25\/(-5) - (8 + -11). Solve -4*c - 12 = -m*b - 2*b, -2*b = -3*c - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33985?\nAnswer: 5, 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-2) - 1295\/(-330) and -59\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 12460*c**2 - 320445*c + 332910.\nAnswer: -5*(c - 1)*(c + 27)*(c + 2466)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612 rounded to the nearest 10?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 10*t = -36. Let d be 1213\/t + 20\/90. Calculate the highest common divisor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252143706?\nAnswer: 2, 11, 61, 97, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 - 2*n**3 + 4*n**3)*(n + 3*n - 3*n) + n**4 - 15*n**4 + n**4 + 46396*n - 980*n**4 - 46396*n.\nAnswer: -994*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 54 - 26 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -2*b + 59 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 546, 0.4, 2, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) - (-175)\/63. Suppose -v*t = -1324 - 545. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21421 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 32*j = r + 38, 0 = -2*r + 4. Sort -5, 12, -1, j, -2 in increasing order.\nAnswer: -5, -2, -1, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-386 - -389) + (6 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 26 - 1. Let a(q) = q - 8. Let j be a(8). Let n be (j - 4\/(-16))*(47 + -3). Solve -n = -k*c + u, -c + 5 = -7*u + 4*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m + 14*m - 32*m + 8*m - 10*m**2 - 8*m.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*z - 6, 0 = -3*a + z - 1 + 7. Suppose -a*c = -8, -c - 4*c - 36 = -4*x. Calculate the remainder when 67 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463051391.\nAnswer: 3, 47, 613, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222352 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17624?\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1093 - 248*j**3 - 2*j - 22*j**3 + 2*j - 327*j**3 wrt j.\nAnswer: -1791*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 41*f**2 + 15*f - 39. Is h(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 6. Let f be v(2). Suppose 6 = f*b - 7*b. What are the prime factors of (-24)\/b - (2 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170819 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 4. Suppose 3*s = -5 - 25. Let r be v(s). Calculate the greatest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-2 - -1) + (-12 - (-15 + 2)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*3)\/(26\/(312\/396))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, 326, -20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*a + 72, 3*n - 4*a + 7 + 22 = 0. List the prime factors of (-40)\/n - 2\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 225\/4 + -56. Let b be (6\/(-15))\/((-9)\/(-5)). Are b and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * -1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3957 - 2514. What is the remainder when j is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 3 = -2*c + 5*k, -5*k = 14*c + 22. Factor -c - 3\/2*q - 1\/4*q**2.\nAnswer: -(q + 2)*(q + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnxn when four letters picked without replacement from pnxnnnpnxnnpxxnx?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 50*d - 4*d + 42*d**2 - 43*d**2 - 3*d - 2*d = 0.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58276 divided by 49\nAnswer: -58276\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t + 2. Let v be b(-3). Let c be (-4)\/(-14) + 25\/v. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i)**(-7)\/(i**(-12\/5)\/i**(-13\/4)) assuming i is positive.\nAnswer: i**(263\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from {n: 2, e: 3, v: 2, a: 4, k: 8}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -32, -60, -100, -152, -216, -292?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396\/27 - (-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 8. Let h be 2 - (t - (175 + 1)). Let c = -25 + h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2970 is divided by 1450.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3062, 3059, 3054, 3047, 3038?\n\"Answer: -t**2 + 3063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04009 + 4.04009. Which is the closest to -538? (a) -3\/7 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**3*m)\/(m**(-35)\/m) assuming m is positive.\nAnswer: m**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*f - 431 = 4*f, 2*f = -2. Let l = 141 + d. Calculate the greatest common divisor of l and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299330 is divided by 22402.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 748*v - 749*v + 6, -8*v = 3*w - 29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 7*s + 105. Let c be (-4)\/16 - s\/(-4). Suppose 0 = c*k - 5*t - 260, 1 + 0 = -t. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sytojhjjyss. Give prob of picking 1 j and 2 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/113832 and 55\/1836.\nAnswer: 113832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 11 - -4) + (-8 - -8) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41257101 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8249 + 8273. Calculate the remainder when -167*(0 - 0 - 1) is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -1\/192*c**5 - 9 - 10\/3*c**3 + 1\/960*c**6 + 1\/96*c**4 + 0*c + 0*c**2. Let u(d) be the third derivative of t(d). Factor u(v).\nAnswer: (v - 1)*(3*v - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = 25 - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x + 2. Let i be z(-2). Suppose 10*s + 314 = 384. Solve s + 13 = i*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*z + z = -16, -3*w - 3*z = 9. Let q be (-1)\/w + (-18)\/15. Put q, -4, 0 in increasing order.\nAnswer: -4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2747 + 282. Suppose 0 = 6*x - w + 779. Is x equal to 376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2985, 168, 0?\nAnswer: 0.2985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(75\/(-10))*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -24 + -74 + 195.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 444*y + 63960 = 159*y for y.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 249189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-9)*171\/228?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 40 = 10*l, 4*s = -3*l + 12708 - 12720 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1411\nAnswer: 1\/1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 313302793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knk when three letters picked without replacement from {t: 1, n: 5, k: 5}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 = -2. Let y = -2084 + 8339\/4. What is the closest to l in y, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 1:08 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19631992 is divided by 627?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2859, 2864, 2869, 2874?\nAnswer: 2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/112)\/(6\/(-4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w**2 + w + 2. Let x(a) = 44*a**2 + 2*a + 5. Determine -2*x(j) + 5*y(j).\nAnswer: 22*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1 - 15*b + 12*b + 4*b + 5*b. Let n = -4 - -5. Determine m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*l - 87*l + 38*l + 84*l**3 + 137*l - 10*l**3.\nAnswer: 74*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*g + 8, g + 5*t + 6 = -2*g. Let p be g\/(-9) + (-8025)\/27. Let k = -53 - p. What are the prime factors of k?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260633827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 6*b + 0*b - 2*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3314313*v + 11543629 wrt v?\nAnswer: -3314313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 5, d: 6, u: 2, r: 3}. What is prob of sequence udur?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -390*s**2 + 5*s + 85. Let v(f) = -97*f**2 + f + 19. What is 2*o(j) - 9*v(j)?\nAnswer: 93*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:31 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Let n be ((-3)\/(-2) - 3553\/(-1254)) + 4\/6. Solve 0*b + a*p + 14 = n*b, -3*p - 11 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2991*x + 110 - 15 - 2919*x.\nAnswer: 72*x + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3110033302 (base 5) to base 13\nAnswer: -140853b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6440564*a**3 + 18*a**2 - 946*a + 7 wrt a.\nAnswer: -38643384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 4*b**3 + 2*b**3 + 3*b**3 + b**3 - 5*b**3 + (-657*b**2 - 188*b**2 + 1233*b**2)*(-8 + 8 + 4*b) as h + j*b**2 + i*b**3 + q*b and give i.\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437293 to the power of 1\/2, to the nearest integer?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -92. Suppose -5*a + a = -t. Suppose 5*w - 2*w - 2*j - 25 = 0, 3*w = -4*j - 5. Solve -4*y = h, -a = -w*h + 4*y + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 6. Let t be q(8). What is the remainder when 676\/t - (-6)\/(-21) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -188.\nAnswer: 5\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x + 788 = -64*x + 4*q, -780 = -x + 4*q. Solve 5*o = -x + 754 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + 4*r**2 - 5*r**3 + 3*r**2 - 18*r**2.\nAnswer: -5*r**3 - 18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (108\/18*(-2)\/(-12) + -6). Which is greater: n or -1039\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00698000626 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -27*c**2 + 20*c. Let s(k) = -9*k**2 + 7*k. Determine 6*n(f) - 17*s(f).\nAnswer: -9*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 415977886 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 9*i**2 + 8*i + 9. Let n be p(7). Let y = n - -61. Suppose -5*a - 2*h + y = -2, -4*a + 5*h = -24. Let v(k) = -k + 1. Determine v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*o, 4*o + 50 + 6 = 4*x. Let d = 17 + x. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*o + 146*o - 45*o.\nAnswer: 175*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/599746 and 55\/171356.\nAnswer: 1199492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 25.999999648. Round w to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 23. Suppose 29*i - 30*i + 9 = 0. Suppose 2*j - n = i. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 586*q**3 + 4*q**2 - 43*q - 1. Let p be j(19). Round p to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.21 - 0.21. Let i = -15 + f. Let k = 25 + -51\/2. What is the third smallest value in 0.4, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**2\/2 - 1. Let f(v) = 13*v + 8. Suppose 6*n - 22 = -28. Let o(i) = 2*i - 2. Let r(q) = n*f(q) - 3*o(q). Give c(r(l)).\nAnswer: -19*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.2 - 0.8. Let a = 11 + m. Let y = -304\/7 - -87\/2. Which is greater: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -29*f**3 + f**2 + 4*f + 3. Let l(r) = r**3 + r + 1. Let g(u) = -2*l(u) + x(u). Is 20 a factor of g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**3\/3 - a**2 - 2*a + 6. Let v be r(3). Let j be -9003 - 3\/v*-1. What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1641, -1866, -2091, -2316?\n\"Answer: -225*w - 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)*x)\/x**(-1\/4)*x**(-3\/25)*(x*x**(-1\/5)*x*x**(3\/5))**(-43) assuming x is positive.\nAnswer: x**(-10167\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 12. Find the common denominator of -41\/6 and d(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1052)\/(-14)*(-35)\/45. Let w = -80510\/1371 + 26\/457. Let l = w - m. Which is the fourth smallest value? (a) 0.3 (b) -3 (c) l (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7314, 7295, 7276, 7257, 7238, 7219?\nAnswer: 7200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15275855449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 <= -337860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 4. Let z = -40 - -40.4. Sort z, -3, o.\nAnswer: -3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 2\/201 (c) -213 (d) -0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -19. Let d(c) = c**2 + 5*c - 1. Let a be d(-4). Let z be 0 - (2 - 0) - a. Solve -s = -z*o + 3, 4 = 2*o - v*s + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/187 + ((-404)\/34 - -12).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.33403 rounded to 0 dps?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -30*p + 60. Let c be z(2). Suppose 2*q - 4*q + 2*h + 542 = c, 0 = q - 3*h - 273. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, -6, 160, -1, -4 in increasing order.\nAnswer: -6, -4, -1, 0, 8, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 75150 divided by -10\nAnswer: -7515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - 4182?\nAnswer: -4162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/14)\/((-17)\/119). Let l(p) = 2*p**3 - 5*p**2 - 4*p - 6. Let u(o) = 2*o**3 - 6*o**2 - 5*o - 7. What is c*u(y) + 7*l(y)?\nAnswer: 2*y**3 + y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuvevvevevvvveuvvu. What is prob of sequence euv?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 2*u**2 + u. Let k be g(2). Suppose -8*j - 345 = -13*j. Suppose 0 = -13*s + k*s + j. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78, 97, 116?\n\"Answer: 19*a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14750480 divided by 3760.\nAnswer: -3923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -21*s - 1. Let c(b) be the second derivative of -2*b**3\/3 + 12*b. Suppose -5*i = -r + 11, -2*i + 22 = 2*r + 3*i. What is r*c(a) - 2*o(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 45*t**2 + 24*t + 6. Let p(j) = -2*j**3 + 46*j**2 + 25*j + 8. Let l(m) = -2*p(m) + 3*x(m). Let g be l(22). Solve -6*i - 8 + g = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 + 1 = 0. Let o be 0*1*u\/4. Let p be o\/(4\/2*-1). What is the third smallest value in 3, p, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7223 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let x(u) = -2*u**2 - 2*u**2 + u**3 - 6 - u**p + 1 - 6*u. Let q be x(6). Sort -1, q, 2 in descending order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 86*j - 36. Let q be z(6). Suppose 26*f - 22*f = q. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, -43, -58?\n\"Answer: -15*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/1211364?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 0*y**2 + 0*y - 7\/3*y**3 + 6. Let o(x) = x**2. Give a(o(z)).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2375, -1, 4, 0.\nAnswer: -2375, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = w + 4, 83322*w = -12*q + 83318*w + 68 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21\/2 - 285\/26. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/2423 - -21831\/9692. Which is the closest to 2? (a) m (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1263\/11 + 115. Let d = 0.1 - 0.1. Let o = d + 1. Which is the closest to o? (a) 0.1 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 1, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 526.1051ml in litres?\nAnswer: 0.5261051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - p - 14 + 5, 2*y - p = 15. Let g be ((-6)\/(-8))\/((-2)\/(-8)). Let w = 839837 - 839828. Solve g*u - w - y = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76484 and 6?\nAnswer: 229452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 654065 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: Let q(t) = 3*t**2 + 6*t + 3. Let c be q(-5). Suppose -5*j = -k - c, 6*k - 28 = -2*j + 2*k. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 5*c - 1. Let o be g(-6). Let a be (-3 - -1) + 1\/1. Let t be (11 - 8) + (-5)\/(10\/4). Put o, t, a in descending order.\nAnswer: o, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604*d**3 - 372*d**3 + 1426*d**3.\nAnswer: 450*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8291405.7 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 - 4*v**2 - 2*v. Let o(n) = 4*n**3 + 3*n**2 + n. What is -3*g(z) - 4*o(z)?\nAnswer: -z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 5*i. Let p = 5 + -4. Which is bigger: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = 303*r - 330*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-5)\/35)\/(2\/16)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2 - 1690*r - 1692 = 0.\nAnswer: -1, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + 63\/27. Let u(h) be the first derivative of 4\/3*h**3 + 2 + h**4 - 4*h - 2*h**w. Find f, given that u(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -16*p - 8. Let a(m) = -m + 1. Calculate -5*a(b) - n(b).\nAnswer: 21*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 44*u + 33. Let d be z(12). Let o = d - 298. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxffunwy. Give prob of sequence wffx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 + 14*k + 20 = 0. What is k?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 13*v - 11. Let w be ((-2)\/1)\/(6\/27). Does 12 divide h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:14 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 16*j**2 + 37*j - 23. Let x be y(-13). Let u be (-15)\/(-5) + 0 + 0. Solve -4*d = x*z + 4, -2*z = -u*d - d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 516 - 516 + 13*s**6 - 13*s**2 wrt s.\nAnswer: 1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(17))*5*-2)**2.\nAnswer: -400*sqrt(17) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1951435)\/142)\/239*18\/(-15).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123670 to the power of 1\/2, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 10*l - 96. Let o be h(6). Determine b so that 1\/7*b**5 + 5\/7*b**3 + o*b + 4\/7*b**4 + 2\/7*b**2 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1021835.00031 - -1021843. Let t = 8 - c. Round t to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/210 + a**3\/21 - 3*a**2\/2 + 2*a. Let o(m) be the first derivative of y(m). Let o(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:22 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -10*n + 9*n. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 - (-14 - (-30 - (-41 + -4)) - 27).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*s*y**3 + 2*j*s*y**2 - 8*j*y**3 - 5*j*y**2 + 14*s*y**2 + s + 3*y**4 wrt y.\nAnswer: 6*j*s - 48*j + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - -14. Let b = -15 + v. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/23)*o*o**24*(o\/(o\/o**(2\/27)))**(-39) assuming o is positive.\nAnswer: o**(4541\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 12. Let j be h(0). Let v = j + -20. What is v rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 619737811 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14998 + -14913. Solve -p = 5*h + 12*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 2. Let y(i) = 125*i + 332. Let t(o) = y(o) + 4*z(o). Find the first derivative of t(u) wrt u.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.028, -2\/175.\nAnswer: -0.028, -2\/175, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.67522 - 5.67. What is s rounded to 4 decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18471 + -18438. Solve -936 = 71*z + y*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (5 - 0 - (5 - -1)) - -6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12312760 to the nearest integer?\nAnswer: 3509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 8\/3 (c) 0.04 (d) -26 (e) 19 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j - 12. Suppose 0 = -2*f - 3*r + 1, -4*f - 5*r = -0*r - 3. Suppose -f*n + y = 4 + 8, 2*n = -5*y - 36. Does 7 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - (10 - 23)) + -40?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12923.000015729 - -12923. What is t rounded to seven decimal places?\nAnswer: -0.0000157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 - 515322 + 41*x**3 + 515322.\nAnswer: 45*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 1) + -11 + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173862 divided by -78.\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34410.75km in centimeters?\nAnswer: 3441075000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -51. What is the first derivative of -3*c**2 + 12*c**2 - l + 0*c**2 + c**2 wrt c?\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.1 + -22. Suppose 4*s - 2*s - 10 = 0. What is the closest to y in s, -4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*s - 11, 4*n - 210 = -3*s. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29604634 a multiple of 1219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-242)*55\/(-30)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10263.98977 - 10268.32. Let g = b + 4.33. What is g rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f**2 - 3*f**2 - 2*f**2)*(0 + 0 + 2)*(4*f - 4*f + f + (-2 + 0 + 3)*(f - 2*f + 2*f)) as z + t*f + n*f**2 + s*f**3 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 44*n - 16. Let k be r(2). Suppose 0 = -8*s - k + 8. Which is the second biggest value? (a) -2\/13 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/3 + 2762*r\/3 - 3688 = 0 for r.\nAnswer: -2766, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (1 + 0) - 1. Let a(s) be the first derivative of -s**7\/210 + s**4\/24 + 25*s**3\/3 + 19. Let d(f) be the third derivative of a(f). What is d(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 219 - 801 = 0. Suppose u = p + 5*d + 2891, 5*p + 2*d = -13295. What is the common denominator of p\/(-252) - 6\/42 and 101\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/18304 and -19\/3822208.\nAnswer: 42044288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/33 - 14\/(-21). Let p = -0.0913 - -0.2913. Let z = 0.7 + 0.3. What is the closest to z in p, s, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24140\/220)\/17 - 18\/(-33))\/1 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -299 + 151. Is 3 - (-5)\/((-10)\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159670, -159671, -159660, -159631, -159578?\nAnswer: -159495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 84 times 0.3\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/132 and -61\/69?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**26)**(9\/5)*(z*z**(-23))\/(z**(-1\/4)*z) assuming z is positive.\nAnswer: z**(517\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 774013606*o*q**2 - 28*o*q - 838*o + q**3 + 1876*q wrt q?\nAnswer: 1548027212*o + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5339.44ng to tonnes.\nAnswer: 0.00000000000533944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*n + 406 = 0, -2*g + 20*n = 24*n - 200. Solve 0 = 14*l + 3*l + g for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 11*n - 19. Let x be l(-8). Which is the biggest value? (a) x (b) -0.17 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 8*h + 10. Calculate q(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*a - 38, 66*z - 62*z - 54 = -5*a for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiihaahilh. Give prob of sequence ilh.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42112319*d - 373289190?\nAnswer: 42112319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -160 * -0.27163.\nAnswer: 43.4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.195531 millimeters in meters?\nAnswer: 0.009195531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1583 - 1078 - 958)*(3*j + 2*j - 3*j) + (2*j - 2*j - 3*j)*(3 + 4 - 5).\nAnswer: -912*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2476532 tonnes in kilograms?\nAnswer: 247.6532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/6058 and 43\/6058.\nAnswer: 6058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334210 - -121033?\nAnswer: -213122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 - (0 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -296 and -0.11.\nAnswer: -296.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5583*l*o**3 + 2*l*o**2 - 4188*l*o + 3255*o**3 + 3*o**2 + 4*o + 1 wrt o?\nAnswer: 33498*l + 19530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a + 67. Let p be f(-13). Let i(h) = h**2 + h + 1. Let n(j) be the first derivative of j**4\/2 + j**3\/3 + j**2\/2 + j + 1. Give p*i(d) - 2*n(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + 441. Suppose 434 = -2*q - 5*g, 0 = 3*q + 2*q + 3*g + 1047. Let t = q + l. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 995 + 25 = 0. What is the remainder when i is divided by -1 - -31 - (-1 + 2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2))*-4)**2 + -1.\nAnswer: -32*sqrt(2) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -274274 divided by -1918?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13\/5, -1\/12, 12, 0.3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -629, -1247, -1865, -2483, -3101?\nAnswer: -3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 0 - sqrt(50)\/sqrt(40).\nAnswer: 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7211758 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53 + -5c1631?\nAnswer: -5c15cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13953 is divided by 6919?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j - 1. Let z be b(4). Let t = z - 13. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**2 + 63*c**2 - 35*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.2 - -7. Let g = -4 + 0. Let i = a + g. Sort i, -2, -2\/13.\nAnswer: -2, i, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16 - 3*u + 4 + 19 - 7. Let g(b) = 71*b. Calculate w(g(i)).\nAnswer: -213*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 5:23 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 47, 16194185 in ascending order.\nAnswer: 2, 47, 16194185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -2*j - q - 4*q - 20 - 15, 12*q + 60 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 40 = -5*k, 40 = -0*z + 5*z - 3*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.668991 to one dp.\nAnswer: 92.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10339, 10341, 10335, 10315, 10275, 10209, 10111, 9975?\nAnswer: 9795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + -48. List the prime factors of (g\/(-7) - 2) + 1177.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136609 and 1211089?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5 + 1 + 4 + 3 + k**3. Let i(r) be the third derivative of r**6\/120 + 2*r**3\/3 + r**2. Give -4*b(p) + 3*i(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/60 + y**5\/12 - y**4\/24 - 5*y**3\/3 - 7*y**2 - 1. Is u(-6) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 13. Let f(w) = w + 8. Let t be f(3). Let g = t - 20. Determine o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 + 6 - 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*y + 16*y**3 - 251*y - 250*y - 255*y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 11:54 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let f = -25 + 21. Let u be 70\/f*24\/(-30). Suppose -3*s - 7 = u. Let n(r) = -2*r. Calculate s*t(d) - 5*n(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 4*z**2 + 6*z. Let g = 81 - 86. Let t(x) = -x**3 + 5*x**2 - 7*x. Let l = 8 + 2. Let s = 6 - l. Calculate g*f(r) + s*t(r).\nAnswer: -r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2342 + 2342.01. Sort 7\/3, k, 2\/9 in increasing order.\nAnswer: k, 2\/9, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 v when four letters picked without replacement from vwwvvwwvvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310 at least as big as 3309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*v - 1. Let a = -0.1 - -0.2. Let o = 0 - a. What is the third biggest value in o, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 14) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*q**4 + 2)*(9*q - 10 + 10).\nAnswer: -18*q**5 + 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*6\/18*6*2\/(-36)*-54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0171 - -0.9829. Let l = 1 + -1.1. Let x = j - l. What is x rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/150328 and 10\/32637?\nAnswer: 4960824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 8602*q\/7 - 34376\/7.\nAnswer: -2*(q + 4)*(q + 4297)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 421 + 6*p - 421 - 20*p**2 + (-115 + 115 + 36*p)*(3*p + 2*p - 2*p) to o*p**2 + n*p + u and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -495\/14 or -3?\nAnswer: -495\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoo when three letters picked without replacement from xxxoooooox.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -21*d**2 + 32*d - 224. Let o(s) = 25*s**2 - 32*s + 224. Let w(g) = -4*a(g) - 3*o(g). What is the hundreds digit of w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (65\/(-15) - -1)*9. Calculate the smallest common multiple of (2 + -6)\/(12\/a) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 0.2 (c) 1\/2 (d) -0.02 (e) 2\/5 (f) -8\/7 (g) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + o - 600 + 586 = 0, -f = 4*o - 82 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -20*(-2 - 8\/(-5)). Is 9 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1338 (base 9) to base 14\nAnswer: 51d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1971.262 weeks to milliseconds.\nAnswer: 1192219257600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/309690 and 1\/495504?\nAnswer: 2477520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 306*q**2 - 9*q + 2. Let u(b) = 611*b**2 - 20*b + 4. What is -7*h(d) + 3*u(d)?\nAnswer: -309*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 13) to base 14.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3940046.6 to the nearest ten thousand.\nAnswer: -3940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -49.56 * -0.33\nAnswer: 16.3548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23659385 + 1336?\nAnswer: -23658049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0305, 0.1, -5, 0.3, 2 in increasing order.\nAnswer: -5, -0.0305, 0.1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 2 - 4*r + 2*r)*(-r + 4*r + 0*r) to a + h*r**2 + i*r and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 1314344?\nAnswer: -1314341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 13370*g + 1550926. Determine i(-116).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:15 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42380083 - 42380162.000156. Let w = 79 + t. Round w to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16746060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30855, -61859, -92843, -123807?\n\"Answer: 10*q**2 - 31034*q + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 w when three letters picked without replacement from qwqqw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351474 is divided by 373?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 12*b**3 + 10*b**2 - 24*b.\nAnswer: 2*b*(b - 1)*(b + 3)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1685.986473 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -2\/1433, 6, 0.5, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*c + 24. Let t be c\/2*3\/(-27). Let 0 - 2*o**2 + t*o - 8*o**3 - 14\/3*o**4 = 0. Calculate o.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 120) + (-44 - -151).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4617 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 187809420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*-3 + (sqrt(98)\/sqrt(2) + sqrt(49))\/sqrt(7).\nAnswer: -13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 106 = 86. Suppose -3*y - 2 + 8 = 0. Solve -4*a - 10 = 2*p, c*a = -y*p + 4*p + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 144\/(-7))*84\/12 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3416 and 616.\nAnswer: 37576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6050 and 135520?\nAnswer: 677600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -30*a**2 - 7*a. Let k(t) = 29*t**2 + 6*t. Calculate 7*k(w) + 6*z(w).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c8772 - -b?\nAnswer: -2c8765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00321356 to 5 decimal places.\nAnswer: 0.00321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 3*j**2 - 7*j**2)*(20*j + 15*j - 10*j) + 43*j**3 - 2700*j + 2700*j.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.288939186 to 3 decimal places.\nAnswer: -12.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13232 and 31426.\nAnswer: 251408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 13*s**3\/2 + 7*s**2\/2 + 122*s - 43. Let a(t) be the first derivative of m(t). What is the first derivative of a(x) wrt x?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 4) to base 10\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151551*d**5 + 60*d**2 + 1678*d?\nAnswer: -9093060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + -1. What is the smallest value in l, 0.2, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*g**4 - 3471445*g**2 + 4*g**4 - 23229*g**3 - 22582982*g**2 + 5547*g**3 = 0. What is g?\nAnswer: -2947, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29416, 29404, 29390, 29374, 29356, 29336?\n\"Answer: -l**2 - 9*l + 29426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2154, -2942, -3734, -4530, -5330, -6134?\nAnswer: -6942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -18062 + 18060. What is the nearest to -10 in -0.1, -1, z, -22?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4 + (sqrt(833) - 3*sqrt(833)))*5 - -2*(sqrt(833)*-3 + -5))**2.\nAnswer: 6720*sqrt(17) + 214144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 19*g - 86. Let z be j(8). Suppose 3*a - 3 - 3 = 0. What is the third derivative of l**2 - 2*l**4 - z*l**4 + l**a + l**2 wrt l?\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-76)\/30*-5 + -1. Let h be 0\/(-2) - (-422)\/(-12). Let c = h + p. Calculate the common denominator of c and 57\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101092\/(-381)*((-1 - 0) + -2).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 5\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**2*y - 8*m**2 - 47*m*y - 2*m + 2*y wrt m.\nAnswer: 6*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 - (-102)\/24. Let z(s) be the second derivative of 1\/20*s**5 - 1\/2*s**2 + 0 + 1\/12*s**t + 3*s - 1\/6*s**3. Factor z(u).\nAnswer: (u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 152?\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1488\/5 + -40256\/135. Calculate the common denominator of -37\/90 and r.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 4*m**3 - 45*m + 2*m**3 + 0*m**4 - 25 + 2*m**4 - 40*m + 84*m in the form k*m**3 + n + u*m**2 + f*m**4 + r*m and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 395\/1168 - 11\/73. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-55)\/(-11) - -20)\/5. Which is the closest to 1\/30? (a) 0.5 (b) 2\/15 (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.244, -1\/10, 5\/8?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -62 - 198. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 5, t: 5, i: 5, g: 2, l: 1}. Give prob of picking 1 t and 1 j.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 5620*n + 862996.\nAnswer: (n + 158)*(n + 5462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -18*h**3 - 2*h**2 + h - 2. Let n be y(-2). Let d be (2 - 17\/(-34))*((-72)\/(-15))\/1. Calculate the highest common divisor of d and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -59)\/(3\/(-3)). Let s = q + -404\/7. Factor s*z**2 - 2\/7 + 0*z.\nAnswer: 2*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693 + 1011 - 318 - 1585*d.\nAnswer: -1585*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22479 and 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 4*2\/6. Let i = 0 - -3. Suppose -3*x + 5*y - 22 = -x, -23 = i*x - 5*y. What is the closest to 0 in 1\/4, x, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-340)\/238)\/(-5 - (-136)\/28). Solve -u*t = 7*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73)\/6278 + (-51831)\/2322)\/((-1)\/3).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16641340*n - 15427680.\nAnswer: 16641340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (0 + (-21)\/(945\/(-468)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2*r**5\/45 + r**4\/36 + 4*r**2 - 2. Let q(t) be the second derivative of v(t). Determine j, given that q(j) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 6. Let c be z(0). What is the closest to -1 in 0.1, 3\/2, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 10, 18*l = 19*l - 4*p - 18. What is the nearest to -1 in l, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6242568 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/((-5)\/(-195)). Let w(g) = 4*g - 7. Let d be w(3). Suppose 176 = d*s - 149. Calculate the greatest common divisor of v and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.66 - -5.66. What is the smallest value in -4, r, -3, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, o: 6}. What is prob of sequence oob?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*sqrt(18)*-5)*1.\nAnswer: -4 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*w - 15, -9*w + 6*w = -7*k + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 1\/60*b**5 + 1\/35*b**7 + 6*b**2 - 7\/2*b**3 + 0*b**6 + 0*b**4 + 0 + 4*b. What is the derivative of p(l) wrt l?\nAnswer: 24*l**3 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 21*w - 61. Give m(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8\/7 - (26 + (-34298)\/1386).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-108)\/(-81)*(3 - -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36630749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 138885, 138921, 138987, 139083?\n\"Answer: 15*p**2 - 9*p + 138879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chqy when four letters picked without replacement from {n: 1, y: 1, s: 4, c: 2, q: 1, h: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u - 7. Let i(w) = 7*w + 8. Let a be i(-6). Let d = a - -49. Suppose -5*o - d = v, -3*v + 6*v - 6 = 2*o. Give x(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 369\/377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 22217678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/505 (b) 278 (c) -205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*m**2 + h**3*m - h**3 + 13*h**2 - 8*h*m**2 wrt m.\nAnswer: -2*h**3*m + h**3 - 16*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v = -16746 + 17395 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -5. Let r be h + 2 - -7*1. Suppose i - 6 = p, 5*i + r*p = p + 39. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 19*y - 11*y - 3*y - 3*y. Let m(o) = 3*o. Give p(m(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3671978 to the power of 1\/2, to the nearest integer?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+-16.4531\nAnswer: -15.7531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 11:28 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w + 3*w**3 - 13*w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-5\/2)\/(i**2\/i)**(-4) assuming i is positive.\nAnswer: i**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 86\/7. Let v be (2 - 4)\/((-21)\/32). Let w = v + -10\/3. Which is the closest to f? (a) 0.2 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csacndjsdnsanjnadd. What is prob of picking 2 d?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 3948b?\nAnswer: -39488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/6 + 3*a**4\/8 + a**3 - 84*a**2. What is the hundreds digit of o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 + 12*i**2 + 5*i**2)*(i + 1 - 1)*(61 - 14 + 28).\nAnswer: 825*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.29997 to one dp.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14861, 33274, 51687, 70100?\nAnswer: 88513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-136)\/(-6) - (-26)\/(-39). Let b be 11\/d - 4\/10. What is the fourth smallest value in -0.02, 0.3, b, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85092.38 grams to nanograms.\nAnswer: 85092380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = z - 13, -4*r = 34*z - 33*z - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -299*c**2*g + 15*c**2 + c*g - c - 409*g + 9625 wrt g?\nAnswer: -299*c**2 + c - 409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 2*x + 18*x + x in the form g*x + i and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 - n - 4. Let p(f) = 10*f**3 + f**2 + 4*f + 13. Let v(a) = -7*c(a) - 2*p(a). Let k be v(2). Solve 0 = 2*g - 4 - k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 7*y - 81.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40022588 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 1827170 at least as big as -0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 15 = 5*i - 4*b, 4*i = -4*b + 4. Let c be ((-9)\/i - -2)*2. Let u be (2 + 3)\/c + -3. Sort -3, u, 5 in ascending order.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.1. Let u = -0.05 + -1.05. Let m = u - 2.9. Put h, m, 1 in increasing order.\nAnswer: m, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 times 463431?\nAnswer: 787832.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -12. Suppose -3*g + 3 + 5 = 4*x, -2*g = -u*x + 28. Let s = 20 - x. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 7*o**4\/12 + o**3\/6 + 4*o**2 + 2*o. Let u be d(4). Suppose u = 4*m + 88. What is the smallest common multiple of 1 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1) - 144\/(-108))*120\/32\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m\/m**(-4\/7))))\/((m*m*m**(-18))\/m) assuming m is positive.\nAnswer: m**(137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + 1.4. What is the third biggest value in w, -2\/17, 0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -1.1, 17, 1\/9 in increasing order.\nAnswer: -4\/3, -1.1, 1\/9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 + 9*i**4 - 27*i**3 - 69*i**2 + 72*i + 108 = 0. What is i?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28853 (base 15) in base 7?\nAnswer: 1051245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 3. List the prime factors of s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*y - 6*y + 13, 5*r = 5*y - 35. Let w = -50.7 + 47. Let v = w - -4.1. Sort r, v, -0.1 in increasing order.\nAnswer: r, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 + p**2 + 2*p**2 + (46 + 5*p - 46)*(4*p - p - 2*p) + 12*p**2 - 34*p**2 - 75*p**2.\nAnswer: -93*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(sqrt(567) + 0 + sqrt(567))**2*-6.\nAnswer: 163296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/14)\/(5\/((-5)\/(-6)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21\/2 + 11. Let o be (2\/12)\/((-2)\/3). Let a be 2*((-5)\/(-6))\/(-5). What is the closest to a in o, 5, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/20 - n**4\/6 - n**3\/6 - 2*n**2 - 3*n. Let a be l(3). Solve 0 = b + 4*r + 9, a*b + 7 = r + 2*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1852*x + 1874*x = -2927*x - 1527*x - 8952 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {m: 1, c: 5, g: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5973256294 to the nearest integer?\nAnswer: 77287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008486755 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:06 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8047184 rounded to 2 decimal places?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -3. Let c = 3 - k. Let d = c + 26. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlngrsgllanl. What is prob of sequence as?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 3*i - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 193086488 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 5*h + h + 26, -5*h = -5*w - 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -8)\/(-2) - -1. Suppose 0 = q + 3*i + 1 + 5, 5*i = -q - d. List the prime factors of (3 + 0)*(-16)\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 347099875 and 625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 0*g**2 - g + 0*g**3 - 1 - 1\/2*g**4. Differentiate l(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-5.729\nAnswer: 1.1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (5 - 15) + -8 + 2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 0*b + 2*b + (3 - 2 + 2)*(2 + 2*b - 2) + (-b + 1 - 1)*(3 - 4 + 2) + 2*b + 0 + 0 + (-1 + 2*b + 1)*(-8 - 24 - 28) to the form n*b + c and give n.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 1. Let l be a(-3). Let x = -1 + 1. Suppose 0 = l*w - x*w - 130. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/(-2) + (-12 - -15). What is the second derivative of -2*z**3 + t*z - 1 - 2*z - 12*z**2 + 12*z wrt z?\nAnswer: -12*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -8 - 2. Suppose -u + g*u - 1 = 0. Suppose 149*t - 183*t = -34. Solve 4*n + u = -5*y, 3*y - n - t = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*f**5 - 2207*f**5 - 13526*f**2 + 13535*f**2 - 294*f - 1309*f**5 wrt f?\nAnswer: -222660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-42))\/((-33)\/((-4851)\/(-140))).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91089, 182196, 273313, 364446, 455601?\nAnswer: 546784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94)\/(-4)*118\/(-767)*13?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 3*q - 3*q)*(3 + 1 - 2 + 3 - 3 + 32 + (3 - 7 + 3)*(2 - 2 + 2)).\nAnswer: -64*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49379688 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 3*g + (1420 - 708 + 164*g - 717)*(1 + 5 - 3) + 0*g + 2*g - 4*g)*(0 + 1 - 2).\nAnswer: -489*g + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (48\/(-5))\/(-4) + 6\/(-15). Solve -2*g - 2*g**5 - 12 - 5*g**4 + g**5 - 7*g**n - 9*g**3 + 12 = 0 for g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1875743062 to the nearest integer?\nAnswer: 43310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -134*u**3 + 7*u**2 - 252*u. Let w(h) = -67*h**3 + 3*h**2 - 125*h. Let s(v) = 4*k(v) - 9*w(v). Find the second derivative of s(g) wrt g.\nAnswer: 402*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46387 and 75097.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 22 = -0*p - 5*p, 0 = 4*p - 8. Let m(q) = -r*q + 15 + 2*q - 15. Let t(u) = -5*u. Give t(m(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/5, 6965 in decreasing order.\nAnswer: 6965, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14971 + -14963. Solve -5*w + 2*n = 13 + h, -2*w - 18 = -4*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 11:24 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*u - 12 wrt u.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z**5 + 532*z**4 + 8956*z**3 + 45800*z**2 + 8064*z - 63360 = 0 for z.\nAnswer: -44, -12, -10, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from zzoozooooooooooooo.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*7\/63*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 3*j**2 - 10*j + 24. Let l be m(4). Let r be l\/(1*6\/18*9). Factor -2\/3*o + 2\/3*o**2 + r - 2\/3*o**4 + 2\/3*o**3.\nAnswer: -2*o*(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 40.4 and 398.962?\nAnswer: 358.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**26*h**(-8)*h**(12\/13)*h**(-7\/3))**(-6\/25) assuming h is positive.\nAnswer: h**(-1372\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -315 - 2899.1\nAnswer: -3214.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -506, -520, -548, -596, -670, -776, -920, -1108?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.44709288 + -2.447. What is u rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - n - 7. Let f = -3 - -5. Suppose 0*c - 9 = -3*w + f*c, 3*w - 5*c = 0. Let s be u(w). Solve 0 = -g + 3*d + s, 0*d = 4*g + 3*d + 23 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684502*q**2 + 685824*q**2 - 1370319*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -338.70183 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 3*w**2 - 6*w - 7. Let v = -1 - -1. Suppose v*s = -s + 5. Give i(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-3)\/sqrt(12) - (3 + sqrt(52)\/sqrt(4) + sqrt(13)).\nAnswer: -5*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**6\/120 + 7*p**5\/20 - 11*p**4\/12 - 173*p**2. Find the second derivative of u(w) wrt w.\nAnswer: 6*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gccccccgccc. Give prob of picking 2 c.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 10, -3*k = -o - 4*o. Let u = -2.5 + 3. Sort o, u, -1.\nAnswer: o, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y = 107*y + 130 - 23 - 1808 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 59*x - 26 = 57*x, 2*j - 5*x + 3*x + 32 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from krkrlsllhlrlk?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -687 - -512. Is 0 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 11*f**2 - f + 2. Let p be v(1). What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*j - 3*j. Suppose 20*n - 190 - 90 = 0. Solve 0 = -3*h - n - j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-483)\/(-276)*6\/(-7). Let a = -96.9 - -97. Put -4, a, d, 3\/7 in ascending order.\nAnswer: -4, d, a, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 14*s**2 + 63*s - 15. Let k be d(10). Which is the third biggest value? (a) k (b) 2\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 1, j: 5, u: 4, n: 1}. What is prob of sequence mnuu?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 849566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 173 = -2*p - 25, 4*p - 5*g - 297 = 0. Let i be p*(2 + 4\/(-4)). Solve -2*q - i = -75 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49 - -ac?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 6*j + 800. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11091 + -9051. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-21)*i))**(-1\/12) assuming i is positive.\nAnswer: i**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**3*t**5 - 3423*f**3*t**3 - 3*f**3*t + 6*f*t**2 - 1142*f + t**2 wrt t.\nAnswer: -240*f**3*t**2 - 20538*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/13668*93\/155)\/((-2)\/20)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.741222 rounded to 3 decimal places?\nAnswer: -0.741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**4 - 2*a**3 - 18*a**2 + 2*a + 7. Let j(q) = -9*q**4 + q**3 + 19*q**2 - q - 6. Let v(h) = 3*j(h) + 4*n(h). Suppose v(z) = 0. What is z?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 1. Let v(z) = 175*z + 88. Let l(i) = -6*o(i) + v(i). Is l(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105916029455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/57665 and 29\/680447?\nAnswer: 3402235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/7 (b) -31 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289709\/509270 - -145\/254. Is s less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3184001379?\nAnswer: 3, 13, 29, 127, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 5*g - g)*(-2 + 11 + 3)*(12 - 2 - 26)*(3*g - 8*g + 2*g) to f*g**2 + d + w*g and give f.\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 327113 a multiple of 1801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*o = 73*o + 1136016000. What is o rounded to the nearest ten thousand?\nAnswer: -9020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 + 168*b**3 + 128*b**3 - 14*b**2 + 24*b**2 - 4*b**2 to the form x*b**2 + c*b**3 + j*b + v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49\/8*z - 33\/4 - 3\/4*z**2 + 1\/8*z**3.\nAnswer: (z - 11)*(z + 2)*(z + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/((-203)\/(-6))*(1080\/1863)\/40\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 0, 2\/9, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1861253433?\nAnswer: 3, 13, 19, 837271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbx when three letters picked without replacement from {x: 8, b: 2, g: 2}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/1 + 2\/(-2). Calculate the lowest common multiple of r\/(-10) - (-6)\/10 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -88368*f - 768. Let s(j) = 4651*j + 40. Determine 96*s(u) + 5*z(u).\nAnswer: 4656*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 15*g**2 + 5*g - 310. Let l be o(16). Solve 73*a - 396 = -l*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.32 + -20. Round p to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayyaaaaahaaaaa. What is prob of picking 2 h and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2755*d**3*w**4 - d**3*w**2 - 5*d**3*w + d**2*w**4 + 328*d*w wrt w?\nAnswer: 66120*d**3*w + 24*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g + 0*g**2 + 10 + 0*g**2 + 3*g**2. Suppose -2 = -12*u - 86. Is t(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/579464 and -79\/4030608.\nAnswer: 455458704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -712 and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*r = 9*r + 168*r + 10965 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 5*y**2 + 0*y**2 + ((-4*y + 3*y + 0*y)*(3 - 4 + 2) + (64 + 2 + 4)*(-y + 4*y - 2*y))*(-10*y + y - 5*y) in the form g*y + k*y**2 + l and give k.\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, -861, -1334, -1827?\nAnswer: -2340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from fhnhhnnnnnnfnnnnnn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5379103 by -44.\nAnswer: 5379103\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/30 and -113\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43616727 and -0.8.\nAnswer: 43616726.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -896 and -897 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 4303259662.6 and 0.827.\nAnswer: 4303259663.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 11. Let t be q(0). Is 4\/22 - (-625)\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/60 - -2\/15. Let d = -0.3 + 0. Which is the nearest to 0? (a) d (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2454 - 39732.\nAnswer: -37278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-2)\/8) + 1. Suppose 4*j - 16 = 8*j. Let g be j\/((-24)\/15)*(8 - 4). Solve a*q + 2*b + 18 = 0, -4*q = q - 5*b - g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1518 + -1067. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -2\/5, 3, 43.29, 2\/5?\nAnswer: 43.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15567 by -5189.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + x = -2*x + 32, -2*x - 37 = -5*c. Suppose -6*d = -d. Let a(s) = 2 + s**2 + 5 - 4 + d. Let w(j) = 2*j**2 + 5. What is c*a(v) - 4*w(v)?\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -38*d**2. Let n(p) = p**2 - p. Suppose -5*g - 10 = -4*c + 9, -g + 1 = 4*c. Let w(k) = -k**2 - k. Let x(f) = c*n(f) - w(f). What is a(x(t))?\nAnswer: -152*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 7*q - 9*q = -1085. What is the nearest to 1\/4 in q, -2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*f = 40, 0 = -3*c + 323841*f - 323836*f - 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -237. Let p be 16\/d + (-64)\/7. List the prime factors of 32\/(-24)*p\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1755280 and 0.\nAnswer: -1755280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 1784*p - 3552.\nAnswer: -4*(p + 2)*(p + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16 + 25 - 5. Let r(i) = i. Let x(o) = -2*r(o) + t(o). Is x(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -23*h - 14. Let a(b) = -46*b - 28. Let o(n) = 4*a(n) - 9*s(n). Is o(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a**3 + 2*a**2 - a + 8. Let f(s) = 12*s**3 + 3*s**2 - s + 10. Let j(w) = -4*f(w) + 5*h(w). Give j(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1085 and 1440?\nAnswer: 312480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*m + 68 = 101, -2*m = -2*k + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/(y\/y**11))\/((y\/y**(11\/3))\/((y*y**(-4\/3))\/y*y)) assuming y is positive.\nAnswer: y**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 172 + 32 = 0. What is k in 10*k**3 - 68*k + q*k - 15*k**4 + 5*k**5 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 5. Let a(w) = 7*w - 8. Let b(j) = -13*j + 15. Let y(q) = -11*a(q) - 6*b(q). Let c(i) = 2*x(i) - 5*y(i). Let p(f) = 2*f. Calculate c(p(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -231 + 235. Suppose -1 = -4*w + 2*o + 5, 0 = -t*w - 2*o - 14. What is the fourth smallest value in -3, 2\/9, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 8*u + 160*u**4 - 24026 + 7*u + 24028 as l + w*u**3 + p*u**2 + i*u + n*u**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = p, -5*o = -0*o - 4*p - 45. What is the second derivative of -5*a**2 - 8*a - 4*a + 9*a**5 + o*a**2 wrt a?\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*c**3 - 40767*c + 0*c**2 + 0*c**2 + 40766*c to o + v*c**2 + t*c**3 + z*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 5*v + 1. Let f = -27 - -19. Let i be s(f). Solve -j - 3*h - 1 = 0, 2*j = -3*j + 5*h - i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2. Let t(f) = 6445*f - 450. Give t(g(c)).\nAnswer: -6445*c**2 - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 28. Let y(m) = -m + 14 - 2 - 9. What are the prime factors of y(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67 - -75) + (0 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.7, -118, -0.3, 3\/5 in descending order.\nAnswer: 9, 3\/5, -0.3, -0.7, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.97 + 0.03. Sort 0, 4\/5, 2\/5, j in decreasing order.\nAnswer: j, 4\/5, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 10\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -12*n**3 - 2*n**2 + n - 2. Let m(f) = -12*f**3 - 3*f**2 + f - 3. What is -2*m(r) + 3*w(r)?\nAnswer: -12*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87683 + 87679 - 175361 - 5*b**3 - 6*b**3.\nAnswer: -11*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a meter in millimeters?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 + 65. Let a(s) = s**3 - 5*s**2 + 6*s - 6. Let j be a(y). Solve -2*f - j*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86980 divided by 8698?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/3 + l + 1026 = 0. Calculate l.\nAnswer: -54, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:52 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s - 1. Let q(d) = 5*d**3 - 19*d + 4. Calculate -3*c(o) - q(o).\nAnswer: -2*o**3 + 16*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3615\/12 - -5)*32. Round k to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827405117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 202, 2, -3\/4, 2\/3, -0.4, 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 419 + -418.7. Which is the biggest value? (a) o (b) 0.015 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by -1.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 + 6*w + 4. Let x be h(-5). Let u = x - 38. Let v = -40 + u. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/1)\/(6\/8). Suppose 0 = -4*g, -g = 4*q + a*g - 20. Solve 2*c - q*c - 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*o**5 + 2981*o**3 - 163*o**2 + 5443?\nAnswer: 1380*o**2 + 17886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/820 and 29\/734?\nAnswer: 300940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*a = 104*a - 1976. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 568*r**3*x**2 - 87*r**2*x**2 + 24104*x**2 - 2 wrt r?\nAnswer: 1704*r**2*x**2 - 174*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*l + 20, -10 = 5*q - 0*q. Let z(s) = 8734*s + 2. Let x be z(l). Round x to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5934 greater than -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95) + (sqrt(95) - 6*-2*sqrt(95)))\/(sqrt(5) + sqrt(90)\/sqrt(2)).\nAnswer: 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 4*y**2 - 12*y + 2. Let a(n) = n**2 - n. Determine 4*a(p) - b(p).\nAnswer: -p**3 + 8*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4333554980 to the power of 1\/3, to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) 0.6 (c) 843 (d) 1\/4 (e) 217\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 566309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:32 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 0 + 4. What is the hundreds digit of (271 - g) + 15 + -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -37*h**2 - 5*h - 12. Let k(g) = 19*g**2 + 3*g + 6. Let v(y) = -6*a(y) - 13*k(y). Let b(c) be the first derivative of v(c). Is b(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**4 + 22*s**3 + 20*s**2 - 36*s. Let n(z) = -3*z**4 + 54*z**3 + 51*z**2 - 90*z. Let m(w) = 12*c(w) - 5*n(w). Factor m(a).\nAnswer: 3*a*(a - 3)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.2 - -37. Put 2, 4, t in descending order.\nAnswer: 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350530?\nAnswer: 2, 5, 29, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010000 - -110010?\nAnswer: 111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:07 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhahhihhhhohiha. Give prob of picking 1 o, 1 h, and 1 a.\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 8*t - 2. Let y be q(-6). Let k = 59 + -38. Let i = y + k. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 5:41 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 5 + 5)*(4*i**2 + 0*i**2 + 7*i**2) + 1 + 2*i**2 - 1)*(4*i - 2*i**2 - 4*i).\nAnswer: 40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997*t - 21302 = 5617 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 96, -2 in ascending order.\nAnswer: -74, -2, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 + 116922*m**2 + 6839350656*m + 464535354496.\nAnswer: (m + 68)*(m + 116888)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 + 0\/(-1). Let v = 5 - s. Let h = 10 - v. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4520 and 904.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291214766 to the nearest integer?\nAnswer: 17065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z)\/((z*z**6)\/z)*z*(z**(-1\/2)*z)\/z*z**(-2\/13) assuming z is positive.\nAnswer: z**(-17\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -596, -594, -592, -590, -588?\n\"Answer: 2*h - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.115001 minutes to nanoseconds.\nAnswer: 306900060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 4. Let g be p(4). Let k = g + 14. Let u be (-12)\/(-8)*k\/3. Sort 4, u, -3 in decreasing order.\nAnswer: u, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/6? (a) -0.1 (b) -1\/3 (c) 199\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/44 and -151\/242604?\nAnswer: 2668644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77.736 + 89.4. Let b = 27 + -39. Let p = b + n. What is p rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1634? (a) -0.5 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2980.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7644620 to the nearest one hundred thousand.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 2*x - 2*x)*(1 - 2 + 0) + 25 - 25 + 3*x to the form t*x + r and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/9900930 and 227\/2917110.\nAnswer: 2009888790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373*h**3*w**3 + 164*h**3*w**2 + 4*h**3*w - 3*h**3 + 838*h**2*w**3 + 2270*w wrt w.\nAnswer: 2238*h**3 + 5028*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 - 5 = -x, 3*x + 5 = 4*q. Calculate the remainder when 2\/(-2) - q*-18 is divided by (-81)\/(-3) - 3\/((-3)\/(-4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -43880165411423.\nAnswer: -43880165411423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 395165606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 873586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 127*g. Let r(x) be the second derivative of -95*x**3\/3 + 2607*x. Calculate -5*r(d) - 7*u(d).\nAnswer: 61*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7190 * -1622\nAnswer: -11662180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 5. Let g be v(-4). Suppose -12 = 30*r - 32*r. Let c(k) = -27*k - 2. Let d(h) = -13*h - 1. Let a(f) = r*c(f) - 13*d(f). Calculate a(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 = p + 2, -5*p = -10. Suppose -l = -3 - 2. Let k(n) = -3*n**2 + l*n**2 + n**q. Let z(i) = -3*i**2. Determine z(k(c)).\nAnswer: -27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 192071000 to the nearest 1000000.\nAnswer: 192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236202846.\nAnswer: 2, 3, 11, 149, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1080)\/(-88) + -6 - (-34 + 4)\/(-5)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*v - 74 = 106, 240 = 4*l - v. What is the least common multiple of l and 44?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = 7*d - 3*d, 3*x - 6 = -3*d. Suppose -5*v + x*u = -42, -3*v + 0*u + u = -21. Does 13 divide (-9)\/v*(-92)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -27\/8*j**4 - 59*j**2 - j + 0 + 0*j**3. Let a(k) = -k. Give a(p(d)).\nAnswer: 81*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2\/21 + 7904102*j\/21 + 23712252\/7 = 0?\nAnswer: -3952042, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59153, -96543, -133933, -171323?\n\"Answer: -37390*a - 21763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, v: 6, f: 1, i: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**3 - 33*g**2\/2 + 84*g - 115. Suppose f(m) = 0. Calculate m.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2776848577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6076 and 1240.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 36 - 27. Let p be 0 - -275 - (v - -6). Suppose x - 471 - p = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.6001 micrograms in kilograms?\nAnswer: 0.0000004406001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**3 + 2*i**2 - 2*i + 1. Let t be c(1). Let g = 7 - t. Suppose g = -4*w + 19 + 1. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4203*n**2 - 77*n - 14. Let l(u) = -1682601*u**2 - 30822*u - 5604. Calculate -7*l(q) + 2802*s(q).\nAnswer: 1401*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + 4*l - 1. What is g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 + -2 - (-33)\/27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*l + 5*u, 0 = l - 0*u - u - 8. What is the units digit of (-42)\/((-3)\/l - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-12)\/4 - 3. Suppose 0 = -2*h + v + 1. What is the highest common factor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -2*g**7\/21 + 2*g**6\/15 + 3*g**5\/5 - g**4\/3 - 4*g**3\/3 + 8*g - 6. Let z(o) be the first derivative of t(o). Solve z(i) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwbwigmmeiwwe. What is prob of picking 1 g and 2 i?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 794566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4\/8 + 1494*r**3 - 2037555*r**2 + 1018429200*r - 91770954750 = 0. Calculate r.\nAnswer: 114, 1290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f, 2*n + 3*n + 2*f - 680 = 0. Calculate the remainder when n is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2260 is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 8. Let r be q(5). Suppose 9 = r*s - 41. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*a + 40*a - 2*a**2 - 4 - 44*a + 37*a + 2 + 3*a**3 as p*a**2 + z*a + r*a**3 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -115. Let y be 2*(9\/2)\/(-3). Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + c + 2)*(2 - 5 - 2)*(-5 - 1 + 4).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 8\/7 (b) 1 (c) -3309 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 7) in base 14?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 46 = -2*q, c + 0*c + q = 10. Solve 0 = 3*u + c - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -5 (c) 5 (d) 4\/3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q + 4. Let v(f) be the third derivative of -f**4\/6 + 2*f**3\/3 + 14068*f**2. Let y = -6 + 4. Determine y*o(s) + 3*v(s).\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 834.0162 millilitres?\nAnswer: 0.8340162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4786 + 6907. What is the greatest common divisor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, 6 in decreasing order.\nAnswer: 6, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + (-140)\/60. What is the common denominator of -34\/9 and g\/(-10)*(-4120)\/(-48)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9125422513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((-1 + sqrt(3))*1)**2) + sqrt(3) + sqrt(144)\/sqrt(3).\nAnswer: -4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**2. Let m(d) = 18*d**2. Calculate 5*m(c) + 7*z(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32642*b**2 + 32906*b**2 - 38*b**3 - 65548*b**2.\nAnswer: -38*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.05 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 - 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5 + 5. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 0 = -3*w. Let f = -12601 - -126109\/10. What is the common denominator of f and w\/56*(-77)\/2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/4*4\/(80\/6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*o + 18, n + 2 = 4*o - 1. Solve 29 = -4*b + n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m. Let h(y) = 4*y**2 + 996*y - 996*y. Calculate h(z(t)).\nAnswer: 196*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwww. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 952 - 938. Let q(y) = -y + 3. Let m(s) = 2*s - 5. Determine i*q(b) + 6*m(b).\nAnswer: -2*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6641040 divided by 885.\nAnswer: -7504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518213813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4810 and 3034.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.823702577992 + -361.823701586992. Let i = 361 + h. Round i to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -15, 20, 69, 132?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5 and ((666\/(-10))\/9)\/(21\/(-5)).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12108811 divided by 4981\nAnswer: -2431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Let z(o) = 5*o**3 + 11*o**2 - 4 - 189*o - 191*o + 390*o. Let y(c) = 2*c**3 + 5*c**2 + 5*c - 2. Let v(k) = -7*y(k) + 3*z(k). Calculate v(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 8 + 3 - 173*b to the form c + j*b and give j.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o + 21. Suppose 31 - 11 = 5*x. What is the lowest common multiple of (-8 + x - -4) + 6 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 >= -1989\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1378 - 1388 = 0. Let p = 3 + 7. Suppose -p*n + 1848 = i*n. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5511*j - 1800. Let v(s) = 689*s - 225. Let p(x) = 4*h(x) - 33*v(x). What is the derivative of p(y) wrt y?\nAnswer: -693","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 2:14 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -5. Let n be ((-13)\/3 + 1)*f. Solve -a = -3*a - n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 331 + -336. Let i = -87 + 436\/5. Let o = -1.1 - -0.1. Which is the smallest value? (a) k (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u - 12. Let k(d) = -d**2 + 7*d - 2. Let w be k(6). Let t be l(w). What is the greatest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/2, 0.4, -1, -8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 - q - 1 + q. Let l be u(1). Suppose -l*n + 3 = -3. Solve -k + n*k + 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7136 and 146637?\nAnswer: -104640.1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, w: 3, d: 3, e: 2, t: 3, o: 1}. Give prob of sequence te.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 3*q - 5*q**3 + 7*q**3 - 2 - 4. Let b(x) = -x**2 - x - 1. Determine -4*b(w) + r(w).\nAnswer: 2*w**3 + 4*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 7*w - 4, -n + 3*w + 21623 = 0. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15113 bigger than 15112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*8 - (1 + 1). Let s be ((-1)\/(-3)*4)\/(5\/15). Suppose -5*z - 3 = -2*y - 0*z, -s*y + 5*z = -31. What is the greatest common factor of l and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*i - 2*i + 3*d, -3 = -3*i - 3*d. Let c = 13 - 7. What is the common denominator of 39\/10 and 2\/c + 21\/i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 25769708\nAnswer: 3\/25769708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 40*t**2 + 214*t - 55. What is the remainder when i(-32) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 7, n: 3, y: 1, b: 1}. Give prob of sequence vkyk.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1 + (-1)\/(-1). Let t be ((-22)\/33)\/((-5)\/(-6)). Are z and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 182 + -172. Let a(i) = 3*i - 2. Calculate the smallest common multiple of a(4) and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, r: 3, z: 2}. What is prob of sequence wz?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(18\/21) - (-741)\/117\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0 - -5)\/(-1))\/(-1). Suppose 0*i - 10 = -w*i. Let r(p) = 17 + i*p - 17. Let u(l) = 9*l. Determine r(u(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {g: 3, l: 4, f: 4, b: 3, z: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -20. Let i(x) = 1 + 4 - 4 - 3*x + z. Give i(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/13 + 16*t**2\/13 - 40*t\/13 + 32\/13 = 0. Calculate t.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1042710238\/2745 - -379858. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1884*75\nAnswer: 141300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2896 + -2872. Calculate the least common multiple of x and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1541 + -1504. What is the remainder when 218 is divided by j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14581275 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 28 = 239. Suppose -376 = -3*q - 5*t, -u = -2*q - 3*t - 16. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -312\/1535 - -1\/307. Let w(h) = h - 26. Let g be w(-6). Let j be 8\/g - 15\/84. Sort c, 1, j in descending order.\nAnswer: 1, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*j - 26*j - 24*j - 3*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.56. Let l = 0.36 + p. Let t = -58\/7 + 304\/35. Which is the nearest to t? (a) 0.1 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 248*u - 4615699 + 1475027. Calculate the lowest common multiple of u and 20.\nAnswer: 63320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k + k**3 + 7*k + k**2 + 2*k**2 + 4. Determine g(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2826 and -64\/785.\nAnswer: 14130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 36*v - 12. Let p be q(-18). Let k = 53 - p. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*x + 9. Let w be 3\/(((-9)\/(-2))\/x). Suppose 4*n - 42 = -2*r, w*n + n = 4*r - 128. Calculate the remainder when r is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-960) - 4220\/(-128)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i. Solve 2*m - 7*m - 5 = i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away -0.29?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.6. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4742, 4623, 4440, 4169, 3786, 3267, 2588, 1725?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4963 - -34686\/7. What is the common denominator of -2 - (-66)\/27*1 - 4 and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 7*y + 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1078275 (base 9) to base 13\nAnswer: 175733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(728\/65)*108\/(-225).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3801 - 107*y + 580 + 109*y in the form w*y + b and give b.\nAnswer: 4381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267932 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2*g**3\/21 + 2564*g**2\/7 + 3287048*g\/7 + 1440. Let u(w) = 0. Calculate w.\nAnswer: -1282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3\/10, 5, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4 (b) 0.1997 (c) -0.68 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08971 + -0.11029. Which is the third biggest value? (a) j (b) 8 (c) 0.3 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 589 divided by -31\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 32 + (0 - 13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 129, -171.\nAnswer: -171, 31, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 37 = -14. Let u = 38 + f. Calculate the greatest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 19. Let f = q - 8. What is the greatest common factor of f and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 15, 2*v = -4*f + 5*f + 101. Factor -v*d**2 + 22*d**3 + 4*d**2 + 26*d**3 + 11*d - 4*d**4.\nAnswer: -d*(d - 11)*(2*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000094756 rounded to 7 decimal places?\nAnswer: -0.0000948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-18) - 20\/(-24). Let h = -2 + 1.5. Let x(y) = -y**3 - y**2 + y - 1. Let i be x(-2). What is the nearest to 0 in h, g, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -q + 8, 3*c + 12 = 5*q + 2*c. Let v(z) = 11*z**2 + z - 3. Let p be v(q). Let g = -44 + p. Is g smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)\/x*x)**16*(x*x\/(x*((x*x**(1\/4))\/x)\/x)*x)**36 assuming x is positive.\nAnswer: x**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 63 = 2*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, -5, 4 in decreasing order.\nAnswer: 4, 1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-802899)\/416318)\/(3\/(-28)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:17 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104994 by 307.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from xmrlmllxmrblmr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5393156 divided by 1?\nAnswer: 5393156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 w, and 1 z when three letters picked without replacement from uztputpptpwup?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5026981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/376 and 9\/2528.\nAnswer: 118816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729375?\nAnswer: 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -28. Let d be (0 - n)*(-9 - (1 + -1)). Which is smaller: 16 or d?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000163804954 to seven decimal places.\nAnswer: -0.0001638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(2*a**3 - a**3 - 3*a**3) + (2*a - 2*a - a**2)*(-7*a + 55*a - 4*a).\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 670351705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120715487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3631 - 3620. Let z be (4\/6*6)\/1. Let f(i) = z*i + 5*i**2 - 2*i**2 - 6 + 3. Let g(v) = -9*v**2 - 11*v + 8. What is u*f(m) + 4*g(m)?\nAnswer: -3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/26566861 or 1?\nAnswer: -10\/26566861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112524*l*z + 20131*z wrt l?\nAnswer: 112524*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j - 6. Let x be j*(9\/3 - 7). What are the prime factors of x\/12 - (-16)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*p**2 + 3 - 35*p**2 - 3 - 463*p + 507*p in the form f*p + r*p**2 + i and give r.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q**2 - 3\/2*q**4 - 33\/2*q**3 - 54*q + 0 = 0. What is q?\nAnswer: -6, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1635 and 11675208.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*f + 242*f = 4. Sort -2, 5, 2, f in descending order.\nAnswer: 5, 2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(612) - (sqrt(612) + (sqrt(612) - (sqrt(612) - (1 + sqrt(612))*1))) - (-1 + 2*sqrt(612))))*-3)**2.\nAnswer: 972*sqrt(17) + 49653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153*m**3*u**3 + 2*m**3*u - 10*m*u**2 wrt u?\nAnswer: 918*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.048? (a) -44 (b) 1 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -43693.4, 1, 2 in increasing order.\nAnswer: -43693.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -4 (b) -1\/8 (c) -36\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 169?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*z - 919 = 445 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 8*q - 645. What is a(-28)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p = 3*p - 487 + 496 + 535 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 364836\/35 + -10422. Find the common denominator of r and 41\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316880.\nAnswer: 2, 3, 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 278, 502, 726?\n\"Answer: 224*r + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2459*d**3 + d. Let g be u(-1). Suppose -21*z + 132890 = 35*z - 115246. Let v = z - g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-7)\/(-14) - (-2 - 2). Solve -u = -c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b. Let j = 184 - 171. Suppose -5*l + 50 - 15 = 0. Let o(p) = -l*p - j*p + 33*p - 11*p. Calculate o(v(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 182019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 5111*s\/3 - 44070.\nAnswer: -(s + 26)*(s + 5085)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from hjjereucuju.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 3*z + 0*z)*(-32 + 27*z + 30 + z) in the form u*z + l*z**2 + j and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -37. Factor -4\/3*y**2 - 2\/3*y**m - 2\/3*y + 0.\nAnswer: -2*y*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 36 (c) 0.3 (d) 80\/16171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -139.618 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 21*o - 35. Let v be t(19). Factor -15*g**4 - 27*g**3 + 5*g**5 - 18*g**v + 55*g**3.\nAnswer: 5*g**3*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391 + 1164 + 207*z + 1526*z - 384 - 389.\nAnswer: 1733*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.788, -1\/2, -5, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 - -1.81. Let j = -0.11 + o. Let f = -4.3 + 4. What is the third biggest value in j, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -19. Let t = x + -3. Suppose 0*s = t*s - 102. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o + 15*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/12 + 2*z**2 + 2*z + 334. Let p(j) = -j - 2. Let v be p(-3). Let y be ((-1)\/(-1) - 1)\/v. Calculate r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 10. Let z(k) = k. What is -v(y) - 5*z(y)?\nAnswer: -12*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 7001807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3032*z**3 - 4579?\nAnswer: -9096*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-18))\/((-215)\/1290).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from rreeenresssnlsrerpes.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -16, -12, 1\/12, 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 66*n - 576. Is 50 a factor of a(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3363094*v**3*x**3 + v**3*x - v**2*x**3 - 34*v**2*x + 2*v*x**2 + 14108 wrt x?\nAnswer: 20178564*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 17*q - 247 + 9*q + 192 + 11*q.\nAnswer: 3*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q + 70*q - 42*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 382822320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/120 - b**5\/20 + b**4\/6 + b**3\/2 + 2*b**2. Let q(o) = o**2 - 4. Let a be q(0). What is x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.3 (b) 4 (c) -2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c = 30*c - 6. Suppose -s - c*r + 23 = s, -s - 1 = -r. What is the third derivative of -4*z + 11*z**2 + s*z + 10*z**6 + z**6 wrt z?\nAnswer: 1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (94533\/2)\/(1 - -8) + (-10)\/4. Is m at least 5250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30315.267 + 7662.\nAnswer: 37977.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3145 - 9.49496451.\nAnswer: -3154.49496451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 592297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45176 is divided by 2725.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y - 6. Let v be (18\/(-15))\/(y\/(-110)). Suppose 0 = -3*u + u + v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*r + 6*r + 4*m, 65 = 5*r + 2*m. Let g = -6 - -9. Suppose 2*q + 5*v + 11 = g*q, 0 = -q - 2*v + 32. What is the greatest common factor of q and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*h - 16 = -3, -2*d + h + 1 = 0. Solve d*z + 4 + 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(1 - 2*b - 1 + (4*b - b + 0*b)*(-3 - 5 + 4)).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2247*x**3 + 2936*x**3 + 730*x**3 - 4*x.\nAnswer: 5913*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -3187.7.\nAnswer: -12750.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 8, h: 1, y: 2}. What is prob of picking 1 h and 1 y?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 2, -36, -102, -202?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265634*r**2 + 265634*r**2 - 6*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1313, 2127, 2939, 3749, 4557?\n\"Answer: -z**2 + 817*z + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.8, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/7)*x)\/x*x**(-4\/9))**(-30)*(x**(2\/5))**(5\/3)\/(x\/(x*x**6*x)*x**(-1\/4)*x) assuming x is positive.\nAnswer: x**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, v: 2, q: 4}. Give prob of picking 2 q and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2340601 - 159843.\nAnswer: -2500444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -7\/13 (c) -3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 6*j**2 + j + j)*(2*j**3 - 1 + 1)*(-6 + 1 + 2).\nAnswer: 12*j**5 - 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -869884, -3480047, -7830318, -13920697, -21751184, -31321779?\nAnswer: -42632482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 13*l + 6. Let n be z(-11). Suppose v + 9 = n. Suppose 22*p - 12 = v*p. Solve p*b = -0*b + 3*t - 1, -3*t = 3*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 2\/7, -2, 8\/149, 5, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -554, -28.7, 2, -1\/3 in descending order.\nAnswer: 2, -1\/3, -4, -28.7, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -688, -629, -580, -559, -584?\n\"Answer: -3*p**3 + 13*p**2 + 41*p - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (148\/(-3515))\/((-6)\/(-45)*(-6)\/2)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 0 - (-80)\/(-8) - -4. Let k(t) = -3*t**2 - 17*t + 17. Let c(p) = -p**2 - 6*p + 6. Let b(s) = l*k(s) + 11*c(s). Give b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(65) - sqrt(65)*-4) - (sqrt(65) - -3*sqrt(65))*-4)\/((sqrt(30)\/(sqrt(6)\/sqrt(3)))\/((sqrt(3) - sqrt(3)*-2)*-2 + sqrt(3))).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 10*g**2 + 9*g**2 - 2*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8962 or -9292?\nAnswer: -8962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1121 and 51\/493744?\nAnswer: 553487024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3073950?\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67461847 or -67461848?\nAnswer: -67461848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y**2 - 29*y + 4. Let q(x) = -7*x + 35*x - 10*x - 9*x - 8*x. Determine s(q(i)).\nAnswer: 10*i**2 - 29*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15264 and 10494.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 6) + -3 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 247000 and 2200.\nAnswer: 2717000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 289573.72*-2.8\nAnswer: -810806.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:25 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1497, -1555, -1661, -1821, -2041, -2327, -2685?\n\"Answer: -b**3 - 18*b**2 + 3*b - 1481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.00708607 - 208\nAnswer: -208.00708607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18)\/27*10\/(40\/(-3414)) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 4 (c) -16 (d) 3071 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 30. Let h = -220 - -1537\/7. Which is the nearest to 0? (a) h (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/2291916 and 103\/307164.\nAnswer: 29794908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + m**5 + 0*m**5 + (4*m**4 - 2*m**4 - m**4)*(-3 + 6 - 1)*(3*m + 6 - 6) + 6*m**5 - 126 + 126 + (-m**5 + 2*m**3 - 2*m**3)*(1 - 3 + 3).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by -17\nAnswer: -73\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**8\/6720 - 11*q**7\/1260 - 121*q**6\/720 - 29*q**4\/24 - q**2 + q. Let x(w) be the second derivative of f(w). Factor x(g).\nAnswer: -g*(g + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -0.43327?\nAnswer: -16.43327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6504 - -1?\nAnswer: -6503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.69 and 4?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 11*b - 9. Let s be 28\/(-24)*-3 + (-2)\/(-4). Suppose -82 = w - 0*i + 2*i, 0 = -5*w - s*i - 410. Let k = -73 - w. Calculate p(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 986 divided by -3?\nAnswer: -986\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 419030.8 kilometers in centimeters?\nAnswer: 41903080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (2*sqrt(272) + sqrt(272))**2 - (0 + sqrt(272) + -3 + -4 + (sqrt(272) + sqrt(272) + 1 + sqrt(272) + sqrt(272) + sqrt(272) - sqrt(272))))*3.\nAnswer: -60*sqrt(17) + 7365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2721 is divided by 381?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*a - 75, 0 = 4*v - a - 26 - 34. Suppose 4*b = -5 + 13. Let k = b - 2. Solve k*f = -3*f - v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3495, -3500, -3505?\n\"Answer: -5*p - 3490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/(((-63)\/(-30))\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -263, -9, 1\/8, -3\/5, -0.0526, 1?\nAnswer: -0.0526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v. Let t be y(1). Let u(q) = 2*q**2 - 5*q. Let s be u(6). Suppose t*o = 7*o - s. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9756 + 9753. Let s = -1.6 + -0.4. Put -13, k, s, -5 in descending order.\nAnswer: s, k, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 37*x + 10*x - 25*x - 21*x + 107. Let f(n) = -n**2. Determine f(u(k)).\nAnswer: -k**2 - 214*k - 11449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1361390 is divided by 5971.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54222 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, o: 5}. What is prob of sequence jjjo?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.54 + 0.94. Let x = 2199\/3971 + -3\/361. Which is the closest to x? (a) l (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23d (base 14) in base 15?\nAnswer: -1ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 220*g - 221.\nAnswer: (g - 1)*(g + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423135.\nAnswer: 3, 5, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 4*f**6\/45 + 3*f**5\/10 - 13*f**4\/9 + f**3 + 4*f**2\/3 - 11*f + 2. Suppose w(o) = 0. What is o?\nAnswer: -4, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-7)*(-1)\/(-2). Let m = -48568\/7 - -6938. Which is the closest to m? (a) 1\/7 (b) h (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 29542601 = -22*w - 47*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 227 - 220. Let u(o) = 2*o**3 - 22*o**2 - 29*o + 21. Let q(d) = d**3 - 12*d**2 - 16*d + 11. Let h(k) = 5*q(k) - 3*u(k). What is h(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22462)\/2046 + 60 - 49.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294858.\nAnswer: 2, 3, 16381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3800)\/(-250) - 45\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (12 + -3 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*x**2 - 7*x + 7*x - 135*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 620 + -264. Suppose 16 = -4*q, -h = 4*y + 2*q + q. Let f = -31 - y. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*k - 892818*h*k**3 + 2691166*k**3 - k wrt h.\nAnswer: 3*h**2*k - 892818*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*u - 13. Let g = 25 + -2. Let r = 27 - g. Put u, 0, r in descending order.\nAnswer: r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1062210 to the nearest 10000.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*c - 106 - 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -8676217524?\nAnswer: 8676217519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230 + -237. Let w = -13\/15 + 121\/105. Which is the third biggest value? (a) 2 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/21456 and -145\/16986.\nAnswer: 407664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 + 7 - u - 4*u**2 + 4*u**2 - 9*u**2. Give l(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 12. Let p(u) = -5*u - 54. Let t be p(-12). What is y(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-3\/4)*p*p**(2\/5)*(p**(1\/3))**(-2\/51)*((p\/(p*p**(-5\/6)))\/p*((p*(p**(-1\/7)\/p*p)\/p)\/p)\/p)**49 assuming p is positive.\nAnswer: p**(-341281\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -612 + 617. What is the fourth smallest value in y, 0.3, -0.65, 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1704 and 259292.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y**2 - y + 3. Let n be m(0). Suppose -89 = -4*a + 5*l, -n*a + 51 = 3*l + 18. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 - 12*r**2 + 96*r - 112 = 0. What is r?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 3:53 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 - 1377\/11. Which is the second smallest value? (a) 3 (b) -6\/11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121\/7 - 290\/63. Let j = a + 67\/3. What is the smallest value in 1\/11, 6, j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4478275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28661 - 28924. Put 5, -1, g, -3, -2 in decreasing order.\nAnswer: 5, -1, -2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64044371801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-10)\/(-10)*-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -7472.\nAnswer: -1\/1868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -7 - 1. Let k(v) = -12*v - 7. Let h be (-16)\/(-4) - 14\/2. Calculate the remainder when k(h) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2650\/1590)\/((-5)\/24)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-33)\/12) + (-87)\/36\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2)*(-18)\/4. Let t be 3\/x + 8\/6. Let u(h) = -h**2 + h. Let b(p) = -5*p**2 + 3*p. Let y(w) = t*b(w) - 3*u(w). What is k in y(k) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3098*z**3 - 1564*z**3 + 3*z + 4*z**2 - 1594*z**3 + 1 in the form o*z**2 + y*z**3 + j + m*z and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*m + 12 = 2*g, -5*m + 20 = 0. Suppose -4*s + 11 + 1 = g. Let h be (-2)\/(33\/(-9) + s). Solve 2*t - 2*q - 21 = 5*t, h*t - 2*q + 9 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 31.98. Let z = g + -0.02. Let h = 4262.6 - 4263. What is the second smallest value in h, 1, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from {v: 1, i: 2, z: 6, h: 3, c: 5}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 233*a - 1556 - 476*a + 239*a.\nAnswer: -a**2 - 4*a - 1556","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 42. Let r(y) = -19*y - 3. What is the remainder when r(-5) is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63216412 (base 7) to base 3\nAnswer: 101000220210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20323202 + -1231100?\nAnswer: -22220302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609980963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229 and 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13000 + 23311344?\nAnswer: 23243344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + -1. Let j = -3 - h. Solve 5*y - 19 = -n, -3*n - j*y = -n - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from evvvevevvvvv.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -407*y**6\/30 - y**4\/4 + 7*y**3\/6 - 33*y**2\/2 + 3043*y. Find the second derivative of k(c) wrt c.\nAnswer: -4884*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 14*m**2 - 8*m + 8. Let l be k(-8). Let j be ((-24)\/l)\/(4\/(-7)). Which is the third biggest value? (a) -2\/9 (b) -13 (c) j (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/16))\/((f*f\/(f\/f**(2\/9)*f*f)*f*f)\/f*f))\/(f*f*f**(-2\/41)\/f*f*f*(((f\/(f\/(f*f*f**(-2\/7)*f*f)))\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(-163255\/41328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -47) + 2 + -28 + -4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 + (-1)\/(2*(-2)\/8) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o + 4129 = 817*o - 16302 - 12971 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**2 - 2. Let g be a(-2). Let l(b) = -b**2 - 26*b + 698. Let f be l(-24). Suppose 28*u - g*u = -f. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/84*(-3)\/(-3)*2. Is o <= 1.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688*z + 6 - 6.\nAnswer: -688*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 9*v + 6. Let i(t) = -t**2 - 8*t + 7. Let b(a) = -3*i(a) + 2*j(a). Let m be b(3). Solve m*o - 5*o + 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/(-33)*2\/((-8)\/(-6)). Differentiate 4*c - 6 + 7 - n - 25*c wrt c.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 3 (c) -0.4 (d) -9.9 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 2*d**3 + d**3 - 8*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 2. Let c(m) = 2240*m + 1. Let k(z) = c(z) - 6*s(z). Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 768926206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -172.\nAnswer: -10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2042 (base 11) to base 6.\nAnswer: 20312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11371 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -148*x. Let a(l) = -3 + 480*l - 238*l - 243*l + 3. Determine n(a(b)).\nAnswer: 148*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:47 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1088) + -3)*-2 - -5*((sqrt(1088) - sqrt(1088)*4) + -4))**2.\nAnswer: -1472*sqrt(17) + 575568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 24 + 29 + 5*n - n**3 as r*n**2 + m*n**3 + i*n + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1\/3, 0.003, -1.45?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-125)*1\/2)\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224811 - -341780. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/((-42)\/96)*(-1)\/2. Let m = h + 12. Solve -o - 5*t - 45 = m*o, 4*o = 5*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 70*y**2 - y. Let g be n(-1). Suppose 2*q = -b + 12 + 7, 4*q - g = -5*b. Let f(d) = -b - d**2 + 2 + 4 + 4*d + 1. Calculate f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12876, 12888, 12906, 12930?\nAnswer: 12960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4379\/1252 + -3\/1252. Which is the nearest to -2\/7? (a) -0.2 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 18, 1454, -4.6, -2\/7, -0.3, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6*w + 32, 2*l - w + 0 = 2. Suppose -i + 4 = 3*s, i = -4*s - 0*i + 5. Which is the third smallest value? (a) -2.6 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -2, -0.02, -139, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322394*s**2 + 869063*s**2 - 115013*s**2.\nAnswer: 1076444*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36153684 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 339, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54214*q**3*r + 2*q**2 + 20*q*r - 5*r - 61 wrt q.\nAnswer: -325284*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 156059.15 to the nearest 1000.\nAnswer: 156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:36 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0, -211, 18 in decreasing order.\nAnswer: 18, 3, 0, -2, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -37279798 divided by -18639899?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1*(1 + -3). Let m be 37 + ((-8)\/4)\/c. Suppose -2*k + 4 = -m. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10474, -20948, -31422, -41896?\n\"Answer: -10474*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1.2.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1717195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345 - -582. Suppose -a = -5*o + 83. Let z be (-1 - -4) + (-216)\/o. Sort 0.4, z, -1 in descending order.\nAnswer: 0.4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13030, -52242, -117588, -209062, -326658, -470370?\nAnswer: -640192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o + 3194 = -5*s + 39*o, o = 5*s + 3186. Let k = s + 682. Calculate the greatest common factor of 77 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 2*m + 13. Let a(g) = 2*g**2 - 5*g - 27. Let r(s) = 2*a(s) + 5*t(s). What is r(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6689, 13454, 20219, 26984?\n\"Answer: 6765*f - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54951534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3694176 divided by 6.\nAnswer: -615696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5928 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16055711*i**3 + 1357454?\nAnswer: 48167133*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -20. Suppose 34 + q = -7*m. Let s(r) = -19*r + 22. Let v(j) = -57*j + 66. Let c(a) = m*s(a) + 2*v(a). What is the derivative of c(l) wrt l?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**4\/6 + 2*s**3\/3 + s**2\/2 - 4*s. Let a be g(3). Let t = -1 - a. Calculate the greatest common divisor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)*a*((a*a**(-3\/14))\/a)\/a)\/(a**(-8\/5)*a*a**37) assuming a is positive.\nAnswer: a**(-1334\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 388, 5 in descending order.\nAnswer: 388, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.4, -927, 1\/4, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 8. Let o be (460\/7 - -1) + 3. Let h = 70 - o. Which is the second biggest value? (a) -0.5 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18728041, -37456098, -56184155, -74912212, -93640269?\n\"Answer: -18728057*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11154 and 7436.\nAnswer: 22308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 200938*a**2 - 602828*a - 401888.\nAnswer: 2*(a - 100472)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.2 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10470*l. Let f(z) = -803*z. Give f(s(m)).\nAnswer: -8407410*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:37 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + 32746613?\nAnswer: 32746675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1853.552 minutes to milliseconds.\nAnswer: 111213120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, -185, -720, -1471, -2438, -3621, -5020?\nAnswer: -6635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -25\nAnswer: 22\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-10))\/((-52)\/(-520)). Solve 4*r = 0, 4*x + 4*r = d + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7446697579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2330 (base 4) to base 14\nAnswer: d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25242 at least 25241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - -12) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/(-90) + (-1)\/6. Which is the nearest to 2\/5? (a) 2 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asf when three letters picked without replacement from {e: 3, s: 1, i: 2, u: 1, f: 1, a: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/((-2)\/(-6)). Suppose t*g = 47 + 29. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 85*h - 1. Let v(t) be the third derivative of 0*t**4 + 0*t - 31*t**2 + 0 - 1\/60*t**5 + 0*t**3. What is f(v(b))?\nAnswer: -85*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/41, 2901.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (287*l + 1 - 441*l + 228*l)*(1 - 1 - 2).\nAnswer: -148*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102\/5 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015881 rounded to 6 dps?\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:29 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 8*s + 1. Let p = -18 + 10. What is the units digit of w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d + 7*d - 38. Find m, given that 0 - 2\/3*m**3 + 8\/3*m**d - 2*m = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Suppose -6 = -2*x - n*x. Suppose 2*p = 4*z + 6, 3*p - 5*z + x*z - 5 = 0. Solve -p = -5*r + 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 3. Let c be -9 - -1 - (-6 + 3). Let l be f(c). Determine v so that -3*v**3 + 3*v**l + 6*v + 4*v**2 - 4*v**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8178 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193155?\nAnswer: 3, 5, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 - (-268)\/420. Let h = g - -109\/140. Which is the biggest value? (a) 1 (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -8. Suppose 8 = p*k + k. Determine c, given that 3 - 6*c - c**2 - 7 + k*c = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 508757 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 1429 + 6*s + 110.\nAnswer: 6*s - 1319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 3*u + 3. Suppose 9 = -2*n - 5*f + 31, 5*n = 2*f - 3. Let g be b(n). Let j = 98 + -92. Solve x + j = -g*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 - 1. Let t(a) = -21*a**3 + 19*a**2 - 7*a + 5. Let n(m) = -10*m**3 + 9*m**2 - 3*m + 3. Let k(j) = -9*n(j) + 4*t(j). What is k(h) - 5*u(h)?\nAnswer: h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-2*u + 0*u + 4*u)*(-5*u + 15*u + 5*u).\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495169 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (2 + -4 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 400128059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/105)\/(6\/20). What is the nearest to 0 in r, 2, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-8)*-6 + (-9)\/(-4). Let o(i) = i**3 + 4*i**2 - i - 2. Let w be o(-4). Determine l so that l - l**a - 2*l**w + 2 + l - l**3 + 0*l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o - 2*b - 18, 4*o - b - 78 = -99 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = -h - 2*c, 10 = 2*c. Let u(p) = 5 - 2*p**2 - 2*p**h - 3*p**2. Let x(r) = 10*r**2 - 7. Let m = 43 - 50. Determine m*u(g) - 5*x(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 31 = -8. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**14)**38*(w**(-6)*w)**(-7))**(-5\/3) assuming w is positive.\nAnswer: w**(-3025\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*z + 3*z + z + (-z + 4*z - 5*z)*(0 + 0 - 1) - 9*z + 0 + 0 - 5*z + z + 2*z - 3*z + z + 0*z + (0 - 3 + 2)*(-4*z + z + 4*z).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -53, 16, -13 in descending order.\nAnswer: 16, 0, -13, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208277 (base 16) to base 11.\nAnswer: 1225795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 0, 3*s + 5*u = -2*s - 30. Let f be (-2)\/((-968)\/(-99) + -10). Is 35 a factor of (-420)\/18*f\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/(5\/60). Let c be 3\/g*0 - -2. Solve -r - 2*s - s = 0, 5*r = c*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89109333.\nAnswer: 3, 9901037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 4*z - 10. Suppose -598 = 4*i + 6*c - 9*c, 4*c = -3*i - 436. Let r = i + 144. Let m(n) = n**2 - 3*n - 10. Calculate r*m(k) + 3*h(k).\nAnswer: -k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1303 - 1311. What is the third smallest value in 11, o, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -u - 2. Let x be (2\/(-4))\/((-4)\/(u\/(-1))). Let m(j) = 46*j**3 - j**2. Let p be m(x). Is p at least -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 89*h + 1710. Give t(-61).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (-2 + 6 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/12*3*(176\/20)\/22?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and -33057.\nAnswer: 49585.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.4, -1.9, -1\/6, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/94565 and 4\/55?\nAnswer: 1040215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.9981362 + -47.99813613. Let r = 13 - g. What is r rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -414, -1, 8 in descending order.\nAnswer: 8, -1, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 e when four letters picked without replacement from vveeeevveveevvevev?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 169 divided by 297\nAnswer: 169\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 137\/7*x**2 - 1\/7*x**3 + 0*x = 0.\nAnswer: 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6414 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: Suppose 5*c - 2*n = n + 26, 0 = -n - 2. Suppose 0 = 3*m + 41 + 409. Find the common denominator of -2 - (0 - m\/c) and 69\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 654870 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*z = 734, 2*a = 2*z - 4*z + 1492. Suppose 4*c + 4*c - a = 0. Let k = c - 53. Calculate the greatest common divisor of 160 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619259 is divided by 69.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 - 25675*n - 179447. Calculate l(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 10*s - 12. Let q be p(8). Let w(f) = 15*f**2 - f - 1. Let m be w(-1). Suppose q*j = j + m. Calculate the highest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:59 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -12.05. Let s = -0.05 - b. What is the second smallest value in 0.4, 3, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 + 202*x + 40. What is the smallest common multiple of 7 and p(-32)?\nAnswer: 19544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, -3, -34, -1, -5 in decreasing order.\nAnswer: 11, 5, -1, -3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 0.386279, -4, -3, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 60, 12, 0, -2 in decreasing order.\nAnswer: 60, 12, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 517 = -78*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 divided by -6.\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wups when four letters picked without replacement from wposwiossiuiwp?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 2 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/3 - 47*n\/3 + 82 = 0?\nAnswer: 6, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -1, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) + -4 + sqrt(2)*-2 + 6*(sqrt(2) - sqrt(32)) + sqrt(2)*-3 + 3 + 0))**2.\nAnswer: 396*sqrt(2) + 8721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52.9 - -53. Which is the nearest to 2\/11? (a) 4 (b) s (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/413630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - n - 13*n + 7*n)*(0*n + 3*n**2 + 0*n) to p*n**3 + o + j*n**2 + d*n and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 463247\/48 + -9648. Calculate the common denominator of -55\/123 and l.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/20*10\/(-8). Let z(s) be the first derivative of s + 1 - 1\/3*s**3 + 1\/2*s**2 - n*s**4. Suppose z(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -325, -7, 5, -5, -1, -9, -3 in descending order.\nAnswer: 5, -1, -3, -5, -7, -9, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1010000 (base 2) to base 15\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -38*v + 696. Let g(u) = -u + 3. Let s(h) = 7*g(h) - n(h). Differentiate s(w) wrt w.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*0 + 4. Suppose 2*p + 3*p - 20 = 0. Differentiate -2 + p - z + d**4 with respect to d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4) + -23 + 25\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x - 40. Determine u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1267401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0227 - -0.5127. Let g = 2.49 - z. Which is the second biggest value? (a) 5 (b) 10 (c) g (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 3) in base 15?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + -64. Solve g = -4*b + d, 2 = 3*b - 2*g - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.68217 decades in centuries?\nAnswer: 4.968217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1712)\/(-428))\/(4\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (5 - -25 - 66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114960198 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2. Let f(l) = -4953*l + 153*l**2 + 4953*l. Calculate n(f(s)).\nAnswer: 70227*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 302*l*v**2 - 412595022*l*v + 358453*v**2 wrt v.\nAnswer: 604*l + 716906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -329240*p - 45154 with respect to p.\nAnswer: -329240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:14 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4518*z**3 - 10*z + 4524*z**3 + 10*z.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173\/20 - -35\/4. Let x = 21 - 20. Does c = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331050?\nAnswer: 2, 5, 7, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73849.22704 + 5051.\nAnswer: -68798.22704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 2*g - 3 + 2*g**2 + 1 + (-2*g**2 + 5*g**2 - g**2)*(3 - 5 + 0) to the form u*g**2 + t*g + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 134. Calculate the remainder when g is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 25726.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - 3 - (-268 + 252).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -761*h**2*u**3 + h**2*u**2 - h + 3*u**3 + 455*u wrt h.\nAnswer: -1522*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/11 + 6712*i**2 - 295254*i\/11 - 1550304\/11 = 0. What is i?\nAnswer: -3, 7, 36912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2. Let g(p) = 1. Let k(v) = v - 1. Let y(c) = -5*g(c) - 5*k(c). Give u(y(n)).\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 49 = 9. Solve 5*w - 5*c = i, 0 = -3*w + w + 4*c + 26 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 101\/3, 1\/4, 256, -1\/7, 1489?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-36) - (36\/(-16) + 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 6*z - 1. Calculate c(9).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 3:24 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - ((17 - 10) + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 p when four letters picked without replacement from pucc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12)*2) + 3.\nAnswer: sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122134 + -422520?\nAnswer: -545054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 12. Let z(c) = -c - 1. Let p(o) = -g(o) + 12*z(o). Let n(x) = -2*x - 2005 + 2005. Determine n(p(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.27 - 0.33. Let t = 25 + g. Let q = t - -2.59999961. Round q to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12875518 is divided by 210.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*7\/((-245)\/(-20)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2746977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.172 - 2.016. Let b = 0.25 - -1.85. Let x = b + l. What is x rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.0247.\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/235 or 3?\nAnswer: -6\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/7)\/((-2)\/14). Suppose d*u = 11*u + 10. What is h in -4*h**2 + 0*h**2 - 11 - u*h - 2*h + 3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 316 = 4*r + 3*t, 204 = 3*r - 3*t. Let q(p) = 2*p**2 - p + 2. What is the remainder when r is divided by q(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -309 (base 11) to base 16.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218\/545 + 326866\/(-20)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 521700 and 0.17?\nAnswer: 521699.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55821?\nAnswer: 3, 23, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**1*d)**21\/(d**(1\/4)\/d)**(-34))**18)**(-11\/5) assuming d is positive.\nAnswer: d**(891\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*20\/(280\/854)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*(v\/(v\/v**6)*v)\/v*v*v)\/v**4*(v**0)**4)\/((v\/v**(2\/3))\/v*v\/v**(-4))**(-1\/51) assuming v is positive.\nAnswer: v**(931\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r + 1. Let y = -7 + 11. Let d(v) = 3*v**3 + v + 2. Let w be d(-2). Let u be (-30)\/w*(1 - -3). Let q(h) = 6*h - 1. Determine u*q(z) + y*x(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 18, -0.2, -2, 1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.177 + 60.177. Let x = -63 + s. Let m = 0.07 + -0.17. Which is the closest to 1? (a) 0.9 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 199*n**2 - 2*n - 91*n**2 - 279*n**2 - 90*n**2 - 1 in the form t*n + z + b*n**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-9))\/((140\/72)\/7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*v + 26. Which is smaller: v or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3670 (base 8) to base 2.\nAnswer: 11110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00127931 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 11*f = 8*f. Solve -5*m + 4*c = -f*c + 10, 4*m - c - 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 190825.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -38. Suppose -3*t - 3*j - 6 = 0, -4*j - 6 = -j. Suppose t*f - 70 = -5*f. What is the remainder when g is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3651966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*d - 10, 3*d = 2*c - d + 22. Let w(p) = -9*p + 9. Let s be w(c). What is the common denominator of -57\/10 and (-3)\/9 - (-249)\/s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/10 - 10\/25. Let t = 2301.5 - 2301. Let g = -3.2 + 3. What is the closest to d in t, g, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203233 (base 5) to base 9.\nAnswer: -10156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p + 32. Let n be f(-6). Suppose 5*a = 5*o + 25, -n*o - 18 - 1 = -5*a. Let j be 9\/2*o\/(-3). Calculate the greatest common divisor of j and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 3. Suppose 2*f = u*f - 25. Find the second derivative of -4*m**2 - f + 0 + 4*m + 5 wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36986590 is divided by 2372?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -73254 divided by 36627?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*v**2 - 5*v - 24*v**2 + 259 - 258 + 175*v**2 as k*v + l + p*v**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -2.9. Let w = -19 - -18. What is the closest to 0.3 in -1\/4, w, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.733 + -1.533. What is the nearest to -1\/15 in 0.5, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -0.87?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 801, 1.299, 5, 0, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 763.9123km?\nAnswer: 763912300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 332 and 1844509.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 3. Suppose 1 = r + 4*f - 10, -5*f + 18 = -t*r. Let x(m) = 2*m**2 - m + 1. Let o(d) = d**2 - d. Give r*o(i) + x(i).\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-13))\/(((-12)\/(-1))\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z**2 - 7*z. Let a(y) = -7*y**2 - 5*y. Let g(k) = 7*a(k) - 5*b(k). Let s(h) = -3*h + 7*h + h**2 - 4*h. Determine s(g(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + h**4 - 110*h**2 + 4 - 2543*h**3 + 1224*h**3 + 1320*h**3 to the form s*h**4 + v*h**3 + i + j*h + t*h**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14920*p**2 - 17016 wrt p?\nAnswer: -29840*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*c = 121 + 743 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77060 and 86099138.\nAnswer: 860991380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10994687, -10994685, -10994681, -10994675, -10994667, -10994657?\n\"Answer: j**2 - j - 10994687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1241 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/3 + 10 - (2 - 8). Solve -m*u + 29 = -55 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 36*v - 24544. What are the prime factors of v?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8217*x**2 + 5*x. Let y(j) = 4112*j**2 - 3*j. Give 3*h(k) + 5*y(k).\nAnswer: -4091*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1910 + -1905. Let o be (0 - -2)*(-6)\/(-4). Calculate the greatest common factor of o and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -99)*(3 + 0 + -4). Let t = -69 + p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 48653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/27989 and -89\/26.\nAnswer: 55978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 2196.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 4*o**6\/15 + 11*o**5\/10 + 5*o**4\/6 - 2*o**3\/3 + 5*o - 10. Factor g(c).\nAnswer: 2*c*(c + 1)*(c + 2)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vthvhhtittvvt. Give prob of sequence iith.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1285\/32 at least 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -17. Let t(f) = -8*f**3 - f. What is t(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 (base 11) in base 5?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = 4*w - 6*v, v = w. Is -2\/61 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1462 and 52989.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 119. Let t be (51\/j)\/((-2)\/(-30)). Solve 0*w = -3*w - t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342132 (base 5) in base 4?\nAnswer: 2332013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 6*i - 5. Let n be v(5). Let q be ((-12)\/5)\/((-6)\/n). Let d be (2\/(-6))\/(q\/(-18)). Which is smaller: -1\/4 or d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 317654 = -317082 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -897459, -1794920, -2692381, -3589842?\nAnswer: -4487303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h - 11. What is the lowest common multiple of u(9) and 55?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 34306918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.293549 nanoseconds?\nAnswer: 0.009293549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + ((-78)\/18 - -6). Solve 2*a - 17 = 3*r, -2*a = -p - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01814, -40, -4 in decreasing order.\nAnswer: -0.01814, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3359507 and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 21*l + 3. What is c(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-5 + (-88)\/(-24)) + 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 equal to 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/2))**(-10) assuming z is positive.\nAnswer: z**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 122.0154 years?\nAnswer: 0.1220154","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 7 + 40\/8 + (-7 - 14) + (-10 - -2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:41 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 1 f when three letters picked without replacement from uusurudutdsdsdfutttr.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpeb when four letters picked without replacement from utueebtueeuwwp.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 - 4*r + 3. Let p be b(3). Let u = -30 + p. Suppose -2*t - u = -6*t. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123331 * 0.21\nAnswer: -25899.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 43854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 54*p**2 - 62*p - 467. What is v(-53)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 20 = 0, 122 = 2*o - 4*a + 52 + 58 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4.4. Let z = r - -0.3. Let q = -1 - 2. Is z at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -23. Let y be (-40)\/a + 16\/24. Let b = 22 + y. What is the remainder when 62 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = u + 3*u + 457, -i + 462 = -3*u. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2931 rounded to 2 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6125.4 and 0.3.\nAnswer: -1837.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 955.39 (c) 1\/3 (d) 15.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*s + 6 + 39 - 45.\nAnswer: 98*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 10*z**2 - 9*z + 13. Let n be (-51 + -6)*(-8)\/12. Let s = n - 47. What is the units digit of r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105594 - 17739847\/168. Find the common denominator of z and 127\/54.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 - 23*r**4 + 22*r**4 - 100*r - 1 + 26*r + 2*r**3 as l + v*r**3 + s*r + u*r**2 + n*r**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from tvnvxvf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0*t**6 - 25\/12*t**4 + 0*t**7 - 3\/14*t**8 + 0*t**3 + 0*t**5 + 0 + 20*t + 0*t**2. Find the third derivative of j(c) wrt c.\nAnswer: -1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -50 - 71) + -1 + -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.033 + -72. Let s = 0.493 - p. Let m = s + -0.46000086. Round m to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2879030 by -10.\nAnswer: -287903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5117 - 7882 = -7*p. Suppose 0 = 2*r + 3*n - p, 7*n - 5*n = 2*r - 1832. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -27*c + 32. Let s be 0\/(14\/(-21)*-3). What is the remainder when 57 is divided by a(s)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49400\/(-25080) - (7 - 9).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19318? (a) -128 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-24 - -20 - (-12 - -30)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from xixxixdgixxidxddxxxi?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-438)\/(-18) + 2\/3. Calculate the greatest common factor of r and 750.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11435603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/49 (b) -1\/4 (c) -3169 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22371 and 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12667587, 12667583, 12667579, 12667575, 12667571, 12667567?\nAnswer: 12667563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102624778.4 rounded to the nearest 1000?\nAnswer: -102625000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3714079 divided by -38.\nAnswer: 3714079\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*h + 3 = 0, -26*n + 21*n = -4*h + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127 + 231 + 16*t + 6*t + 13*t - 32*t to s*t + c and give c.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04699 + 16.09799. Let l = 0.051 - k. Let x = -17 - l. Sort -2, 0.4, x.\nAnswer: -2, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 54. Suppose 108 = 3*c - 0. What is the highest common divisor of c and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 greater than -1.2603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from kptddrrppkptp?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - i = -6*c + 15, 5*i = -3*c + 55. Let w = 221 + -167. What is the first derivative of w*o**4 - c*o**4 + 30 + 11 wrt o?\nAnswer: 176*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41869 and 2758577?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24505 divided by 845\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, -4164, 3.\nAnswer: -4164, -2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48366 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1215891320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101 + -128 + (-164)\/(-8))\/((-3)\/(-24)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.0685.\nAnswer: -0.03425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6744, -13204, -19680, -26178, -32704?\n\"Answer: -b**3 - 2*b**2 - 6447*b - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbynynbynbb. Give prob of picking 1 p and 2 y.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(76)*-3*-3.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 4, 17 in descending order.\nAnswer: 17, 10, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4316\/2739)\/((-210)\/(-3465)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*(d\/(d\/(d**1*d*d)))\/d)*d)**(-21\/8)*((d**(2\/3)\/d)\/d)**(-1\/35) assuming d is positive.\nAnswer: d**(4\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 k when three letters picked without replacement from rrrrrrkrrrrrqre?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -90*j**3 + 150*j**2 - 150*j - 150. Let b(f) = -f**3 + f**2 - f - 1. What is -600*b(q) + 4*z(q)?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 - c**4 + (0*c**3 + 4*c**3 - 2*c**3)*(5*c - 4*c + c) + 2*c**4 - 2*c**4 + 2*c**4 + 435*c**4 - 2*c**3 - 446*c**4 + 0*c**3.\nAnswer: -6*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**3 - 7*p**2 + 6*p + 5. Suppose -4*g - 22 = 2*q, -3*q + 10 = -5*g - 1. Let v be j(g). Suppose v - 22 = 3*b. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4879569832?\nAnswer: 2, 151, 353, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/5 and 61\/520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014253278 to 7 decimal places.\nAnswer: 0.0001425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 6:16 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 2*m - 2*m)*(1 - 1 + m + (-3 - 2 + 3)*(-2*m + 2*m + m) + (6 + 1 + 0)*(-4*m + 4*m - m)) in the form s*m + q + l*m**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 22. Differentiate 134 - 137 - c*g**3 + 12*g**3 wrt g.\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4727701?\nAnswer: 11, 429791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**4 + 11*b**2 + 2 - 11*b**2 wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-1 + 5 - 6 - 8*z).\nAnswer: 16*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 = -3*i - 62. Calculate the remainder when i is divided by 21 - -11*18\/(-66).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -119\/12?\nAnswer: -119\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 34. Let m(n) = -4*n**2 + n**2 + d*n**2. Let x(q) = q**2. Calculate x(m(s)).\nAnswer: 121*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -0.41816342744?\nAnswer: 0.91816342744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92974 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 23. Let y = -32 - -52. Let v be u(y). Suppose 0 = -4*q + v*w + 105, w + w = -5*q + 114. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 20. Let z be i(-13). Let x = -6 + z. Does 9 divide 26 + (-1 + x - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6031757 or 6031756?\nAnswer: 6031757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 180978065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*c + 229 = -244, 0 = -3*i - c - 341. Let z = i - -107. Let v = 136 - 2586\/19. What is the closest to 1 in 1, v, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -128293116 to the nearest 10000.\nAnswer: -128290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5, -4*n - 3*x - 3 = -18. Let z(i) = -5 + i**2 + n + 0*i**2 - 6 - 10*i. List the prime factors of z(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4698 times 0.47?\nAnswer: -2208.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(19)*2 - sqrt(19))*-5.\nAnswer: -5*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -43004 (base 6) to base 15\nAnswer: -1ae1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26668 is divided by 3807.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 42 = 3*q, -5*q + 122 = 5*m + 32. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -4*u + 39, 3*u + 0*f = -2*f - 7. Which is the fourth smallest value? (a) 0.4 (b) -5 (c) u (d) 16\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14717 is divided by 128.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14513?\nAnswer: 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r**2 - 3*r**2 - 5*r**2)*(-2*r - 2*r + 2*r)*(0 + 6 + 0)*(-92 + 8*r + 92) - 5*r**4 + 2*r**4 + r**4.\nAnswer: 1822*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 761554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + -6186446486.\nAnswer: -6186446486.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/4? (a) 0 (b) 4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3584 and 21392.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4\/2 - 50643*l**3 - 1709910240*l**2 - 19249028326400*l - 115432624128000 = 0.\nAnswer: -33760, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/60 - x**4\/12 + x**3\/3 - 5*x**2. Calculate z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-23)\/((-138)\/15080) + 3\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*z + 930 = -142*z. Let n = 264 - z. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 + 3.1. Let n = -2.8 - v. Which is the nearest to 2? (a) n (b) -1\/4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*f**3 - f**2*y**2 - 245*y**2 wrt f.\nAnswer: 60*f**2 - 2*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131975 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8785376363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6.04 * 5\nAnswer: -30.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 973*r**2 - 485*r**2 - 486*r**2 - 4.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 715*f**5 - 153*f**2 - 2?\nAnswer: 42900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgikitu. Give prob of sequence iki.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -78, 166, 732, 1620, 2830?\n\"Answer: 161*o**2 - 239*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -383*q + 90. Let i be t(-10). Suppose -3*u + i = 137. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*w**4 + 2*w**3 - w**2 + 463.\nAnswer: -3024*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i + 10 = 0. What is the closest to -0.2 in -0.1, 0.4, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f - 484 = -501 + 2677 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 122*p + 2. Let s be (-20)\/30 - 5\/(-3). Let a be d(s). Suppose -10*l = -a - 606. List the prime factors of l.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -16. Let k = g + 6.9999936. What is k rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 4*q = 4*l + 25, -25 = 5*q. Let y = -7 + l. Solve 0 = -y*c - 3*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*0\/(-1). What is the second derivative of g*x + 2*x**2 - 3*x + x**2 - 6*x**2 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 203243795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 98\/11, 4.\nAnswer: -3, 4, 98\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.080735.\nAnswer: -0.403675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*c - 43 - 190, -5*l - 2*c + 347 = 0. What is the highest common divisor of l and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*6\/27*9\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 5*v**2 - v. Let s be t(-5). Let n = -0.03 + 3.03. Sort 0.3, s, n in descending order.\nAnswer: s, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -19263*t - 57791. Give i(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8) - 0) + 3\/(-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y + 2. Let q be 38\/5 - ((-119)\/35 - -3). List the prime factors of k(q).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v - 8374 = 108*v + 99*v - 25776 for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14.165 times -346\nAnswer: -4901.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 77994, 9, 2, -8, 1 in ascending order.\nAnswer: -8, 1, 2, 9, 77994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2453.4 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 1, f: 1, e: 2}. What is prob of sequence ef?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 12. Suppose 0 = 3*c + t*c - 12. Suppose 3*p - c*w = 53, 2*w - 6*w = 5*p - 81. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvuu when four letters picked without replacement from uuuuubbbbvuvuvuvvuv.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - w - 21. Let p be u(3). Let q(f) = 2*f + 6. Let g(i) = -i - 5. Calculate p*g(o) - 4*q(o).\nAnswer: -2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.06, -1, -56?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 974390 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -731 - -894. List the prime factors of o.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*c = 420*c + 40. Let h be 10\/3*(-6)\/(-4). Suppose 3*w = h*f + 7, -4*w + 17 = -w + 5*f. Solve 0 = -w*s - c*p - 2, 0*s - 3*p + 2 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 24070.97 micrograms?\nAnswer: 24.07097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10*w = -5*w - 5374, -w + 5 = 0. List the prime factors of n.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-38)\/(-95))\/((-5)\/5400*-1) and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9) + (10 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-34)*(-38)\/4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.648 - -648.452. Round f to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 2*9\/(-6) + 35 + 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 189542*l**2 + 461244 wrt l?\nAnswer: 379084*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5225 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 50. Let o(z) = -z**2 + 9*z + 10. Let l be o(k). What is the first derivative of l + 0 + 3 + 6*s**3 - s**3 wrt s?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 167. Determine f(-12).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-597 + 78*g + 597)*(-497*g**2 + 10 - 27 + 8 + 9).\nAnswer: -38766*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j + j - 4*j + 23. Let g be q(-7). Solve 15*t**3 - 2*t**2 + 2*t**g + 3*t**5 - 1067*t**4 + 1049*t**4 = 0 for t.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300001310 (base 4) to base 2\nAnswer: -110000000001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = -s + 9, q = 5*s - 24. Let i(z) be the first derivative of -5*z + 10 + 5\/2*z**2 - z**3. Let v(r) = -3*r**2 + 6*r - 6. Determine s*v(c) - 6*i(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1563 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 3*u**2 + 8*u + 10. Calculate f(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 + 3*p. Let t = -71 - -45. Let j(d) = -21*d**2 + 13*d. Let q(o) = t*i(o) + 6*j(o). Let v(y) = -2*y. Determine v(q(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/385602 and -52\/3.\nAnswer: 385602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -16*p**2. Let i(b) = -4189 - 37*b**2 - 4192 + 8381. What is i(w(h))?\nAnswer: -9472*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psjppsspsssasnsswss. Give prob of sequence wnp.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t*t**(-1\/7)\/t)*t)**(3\/11)*((t*t*t**1*t)\/t)**(3\/2))**23 assuming t is positive.\nAnswer: t**(19941\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.035 + -1.035. Let w = -1.5 - -2. Which is the smallest value? (a) w (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258450.8ml in litres?\nAnswer: 258.4508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1427 - 173 = 182*c - 231 - 1427 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from xvxvrjrbvxjvvx.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 46.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145230 is divided by 3630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 2*z**2 + 6*z**2)*(-5 + 1 + 6)*(-1 - 5 + 0) in the form v*z + u + o*z**2 and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2*y**3 + 5 + 8*y**4 - 9 - 4*y**3 as s*y + r*y**2 + t*y**4 + f*y**3 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -5 - 5 - ((36 - 75) + 43)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -0.22, 2, 6 in descending order.\nAnswer: 6, 2, 4\/5, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w\/w**(-1))\/w*w*w*(w\/(w\/(w**(2\/9)\/w*w)*w)*w)\/w*w*(w**0)**(-3\/4) assuming w is positive.\nAnswer: w**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -862.4 not equal to -26\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 - 256 = 2*o + 256 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + 63. List the prime factors of j.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -301710149\nAnswer: -5\/301710149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 10320?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:07 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {e: 2, f: 1, w: 2, r: 1, d: 1, h: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(2\/9))\/w)\/(w*(w\/w**0*w)\/w))**(7\/8)\/(((w\/(w**(-3\/8)*w)*w)\/(w*w\/(w**6\/w)))\/(w\/(w*w**(2\/17))*(w\/w**1)\/w)) assuming w is positive.\nAnswer: w**(-9103\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - -3)\/18*(0 - 0). Suppose -3*c - 17*c + b*c = 0. Which is greater: 4\/35 or c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*3\/15*4. Let s be (0 - b\/(-2)) + -2. What is the second derivative of -v**2 + v + 2*v + s*v**2 wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 26313900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -42, -100, -174, -258, -346, -432?\n\"Answer: s**3 - 17*s**2 + 8*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 5, -3 in descending order.\nAnswer: 5, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {r: 1, s: 1, p: 3, u: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(495)*-5 - sqrt(495))*-6)\/(-4*sqrt(22)\/sqrt(288)))**2.\nAnswer: 524880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 19*w - 7. Let l(k) = -293 - k + 293. What is s(l(v))?\nAnswer: -19*v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 25*f**2 + 151*f - 27. Determine r(-10).\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251 + -250.891. What is i rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 10*n**3\/3 - 2*n**2 - 20*n + 5. Is v(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(96)*1 + sqrt(96)) + sqrt(96) - sqrt(96))\/((-2*sqrt(1728) - sqrt(1728) - sqrt(1728)) + sqrt(1728) + sqrt(1728) - sqrt(1728) - sqrt(1728)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 25\/5 - -59 - (5 + 0)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9. Let y be (-3)\/(-12) - (-3)\/i. Let b(n) = n - n + n - y. What is b(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.405 (b) 3 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0 + 4. Suppose -q - 17 = 3*f, 5*f + 25 = 6*q - 11*q. Let n(o) = -5*o - 27. Let d be n(f). Put v, d, 5 in decreasing order.\nAnswer: 5, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -24 + 23 - (54 + 1 - (-26 + 27))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h**2 - 18*h**2 + 7*h - 2*h - 5*h.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3902605.953 - -2791.953. Let c = g - -3899813.5899997. Let k = c + 0.41. What is k rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5498 a factor of 160546982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8798020 is divided by 316.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040882477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 18 = 3. Calculate the remainder when 4 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -709800148.2 to the nearest 100000.\nAnswer: -709800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 3, 18204853 in descending order.\nAnswer: 18204853, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -2, -2\/9, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 5961572*u\/3 + 4442542588898\/3.\nAnswer: 2*(u + 1490393)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*n = 2*u - 16, -5*u + 2*n = 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29495774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-10 + (1 - -6) + 29 + (-38 - -14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**3 + 192*b**2 + 1219*b + 6. Give n(-6).\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170*m**6 - 180*m**5 + 39836*m**2 - m wrt m.\nAnswer: -20400*m**3 - 10800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - a - 9. Let j be c(0). Let v(k) be the first derivative of k**4\/4 + 8*k**3\/3 - 9*k**2\/2 - 3*k + 4319. Calculate v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 90 + 110 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 74, -2\/459?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*h**2 + 5*h**2 - 2*h**3)*(0 - 1 - 1) + 4*h - 2*h**3 - 4*h + 0 + 0 + 4*h**3)*(15 - 88 + 342).\nAnswer: 1614*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -64 + d**2 - 3 + 3. Let l(q) = -6*q**2 - q**2 + 0*q**2. What is v(l(u))?\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 57 (b) 1\/2 (c) -53.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2517*p + 4070*p - 1872*p + 320620 for p.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56129 + -56126. Solve 5\/3*l**2 + 1\/3*l**j - 8\/3*l - 4 = 0 for l.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/22 and -93\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 3*u**2 + 14*u - 14. What is h(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 6*a**2 - a - 3. Let o be x(-6). Let k be o + -2*39\/30. Let j = 36 + -35. Is k greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 19, 5, 2, 458?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 233 (b) 1 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 11. Suppose -s - 2*y - 2 = -5*s, 2*s + y = 7. Suppose -s*c - c + 48 = 0. What is the greatest common factor of c and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 3*h**2 - 2*h**2 + 4*h**2.\nAnswer: -h**2 - 253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -330, -474, -592, -678, -726, -730?\n\"Answer: h**3 + 7*h**2 - 172*h - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237429 by -279.\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5375*r + 3655. Let t(o) = -22*o + 15. Let w(d) = -1462*t(d) + 6*u(d). Let v(j) = j. Let z(l) = 3*l. Let i(b) = -15*v(b) + 6*z(b). What is i(w(g))?\nAnswer: -258*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.102 and -1.17409?\nAnswer: -0.11975718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3516 and 461475?\nAnswer: 1845900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5505 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 6*d + 12. Let n be h(-3). Let p(k) = -k**3 - 3*k**2 + 2*k + 5. Let z be p(-4). Suppose 5*a = 5*l - n*l + z, -a = l - 4. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - 13*w - 1 - 3*w**3 + 2*w**4 + 12*w + w**2 - 2*w**2 to the form m + y*w**3 + t*w**2 + o*w + h*w**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6*x + 60, 5*v - 5*x - 96 = 14. Calculate the highest common divisor of v and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 q when three letters picked without replacement from iqpwiwwppwwihqhhiqh?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 108 (b) 1 (c) -0.6 (d) 3 (e) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/(-8))\/(-1 - (-7)\/4). Let z be (102\/(-12))\/(3\/q). Which is smaller: z or -16?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10*c**3 + c - 1. Let x be (-171)\/(-209) - (-2 - 20\/(-11)). What is y(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 22*u - 51. What is z(-18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -86, -149, -230, -335?\n\"Answer: -z**3 - 44*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfvf when four letters picked without replacement from vfvfvfff?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.81 - 11.81. Which is the third smallest value? (a) z (b) -1\/6 (c) -6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60778238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x + 446 - 6 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 17*j. Let k(i) = -30069*i. What is g(k(l))?\nAnswer: 2712434283*l**2 - 511173*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 12:34 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2863 and 7196.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1745335*x**2 - 1224933*x wrt x.\nAnswer: 3490670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5977066963\/198 - 30187084. Let c = r + -1323\/11. Find the common denominator of c and 57\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 1670 + 645. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 4. Let y be -3*((-1 - -1) + -1). Let q be s(y). What is the second derivative of 0*a - q*a**2 + 2*a - 4*a wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*y = -47*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 3*k + 3*k + 1 - 1 - k + (0 - k + 0)*(-2 - 2 + 6) - 18*k - 29*k + 15*k as g*k + a and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -28 (b) 3\/8 (c) 5 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160232 or 160253?\nAnswer: 160232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*b + 89, -b + 5*b = 2*p + 74. Let r be b\/10 + 8\/20. Factor 0 + 1\/4*n**r + 1\/2*n.\nAnswer: n*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118900 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 f when four letters picked without replacement from eeeeeeffeee?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 563 and 766806.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 8594 - 1544. What is the highest common divisor of 423 and m?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -38, -2612, 5, -1.\nAnswer: -2612, -38, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 771001.6 years?\nAnswer: 9252019.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*h = -48*h. Is (h\/(-2))\/(-18 + 16) + 1117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 8. Let d be r(-4). Suppose d = 5*i + 7 + 8. Is 24 a factor of i\/(-3) - (-21 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(153) + sqrt(153) + 0 + sqrt(153))*-4)*2 + -1*-4*(sqrt(153) + 0)*5)**2.\nAnswer: 192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3 and -59\/12354.\nAnswer: 12354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + 0*(-9)\/81. Put -1, -19, -2\/9, x in increasing order.\nAnswer: -19, -1, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = -2*i, -5*q + 3*i = 11 - 35. Let z(n) = 9*n**2 + n + 2. What is the tens digit of z(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 113?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3089*h + 4*x - 32 = -3093*h, -4*x + 14 = 2*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 2*p + 3*p. What is the highest common factor of p and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 7937555*t + 127002160.\nAnswer: -5*(t - 1587527)*(t + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obxx when four letters picked without replacement from bxxxxxboxbbbxbbxxbx?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1202, -1203, -1204, -1205, -1206?\n\"Answer: -w - 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7491746, 7491701, 7491642, 7491563, 7491458, 7491321, 7491146?\n\"Answer: -f**3 - f**2 - 35*f + 7491783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.94 - 31.125?\nAnswer: -206.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) 11 (c) -102 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32824.146253202 + 0.\nAnswer: 32824.146253202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -68*c + 192. Is 19\/15 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-2 - 4)*-172?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uch when three letters picked without replacement from {o: 2, u: 4, t: 2, h: 2, c: 4}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.640218ms to days.\nAnswer: 0.000001014354375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -213*h**5\/4 + h**4\/12 - 71*h**2 - h + 41. Find the third derivative of f(g) wrt g.\nAnswer: -6390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 - 153. Let s(l) = -18*l**3 - 5*l**2 - 34*l. Let t(q) = q**3 + q**2 - q. Let k(w) = o*s(w) + 5*t(w). What is the second derivative of k(h) wrt h?\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57249761 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-6)*(-372)\/310. What are the prime factors of -1 + 1 + (664 - v\/(-2))?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/12 + 5*n**3\/2 + 2*n**2 - 2*n - 20. What is o(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**18*a)**(-9)*(a**(21\/4)*a)**(-15\/2) assuming a is positive.\nAnswer: a**(-1743\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240284 = 5*g + 51259716. What is g rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 1. Suppose -3*o + 2*a = -0 + 11, 0 = -3*o - 5*a + 17. Let b(s) = -s + 3. Let k be b(-3). Let v(h) = 6*h - h - 4*h. Calculate k*v(n) + o*r(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/24101424 and 47\/386064?\nAnswer: 168709968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -60\/257?\nAnswer: -60\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.91 - 0.09. Let l = d - -1.5. Suppose 5*a - 12 = -2*s - 1, -a = -s - 12. What is the smallest value in s, 2, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**4 + 5*k**3 - k + 1. Let b(r) = -4497*r**4 + 65*r**3 - 2*r**2 - 11*r + 132. Let f(z) = b(z) - 13*d(z). Find the third derivative of f(i) wrt i.\nAnswer: -108240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 4*d**3 - 4 - 8*d**3 - d + 0*d to the form h*d**3 + a*d**2 + j + z*d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6*54\/48)\/(((-966)\/(-46))\/42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + (-61 + 53 - (4 - 0)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -15.2, -7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10901 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + (-52 - -105) + -89.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - ((12 - (4 - 9)) + -35)) + 39\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 3*p - 30, 2*a + 5*p = -28. Let r(j) = j**3 + j**2 - 5*j + 3. Let t be r(a). What is t rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6\/7)\/(x\/(x*x**3))*(x\/(((x\/(x**(-1\/11)\/x*x))\/x)\/x))**(7\/11) assuming x is positive.\nAnswer: x**(2844\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -36*p + 213. Does 23 divide f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 121?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 2 + 2. Let h(f) = 200*f**2. Let l(y) = -40*y**2. Suppose 2*v - 2 = i + 1, 3*i = 5*v - 9. Let s(w) = i*h(w) - 16*l(w). Give d(s(c)).\nAnswer: -1600*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/2)*x)\/x**(-3\/4))**(-41))**(-36) assuming x is positive.\nAnswer: x**3321","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18306 + -18263. Solve -261 = t*r + 126 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + i - 3. Let p be m(0). Let o be (40\/(-50))\/((-2)\/(-60)). Let q = p - o. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Is 3 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114769\/3 - -38258. Let l be (-39)\/33 + 1 - 0. Which is the fourth smallest value? (a) l (b) -0.3 (c) n (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21446 - -21576. Which is the closest to j? (a) 0.1 (b) 0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:43 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 1. Let z be (12\/4)\/(-1) + 14. Suppose 5*d - 89 - z = 0. Calculate the remainder when d is divided by a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6460*8\nAnswer: -51680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 times 0.17?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2, -1, 1\/3, -1\/3041 in ascending order.\nAnswer: -1, -4\/7, -1\/3041, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**5*d - b**5 + 13*b**3*d + 2*b*d - 6*d - 1 wrt b?\nAnswer: -40*b**3*d - 20*b**3 + 78*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -14. Is x\/(-18) - (-152)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*c**4 + 4*c**3 + 678 with respect to c.\nAnswer: 424*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13*f + 28. Determine n(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111121 - -112122011?\nAnswer: 112010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 13*v**5\/20 - 11*v**4\/12 + 2*v**2 + 11*v + 2. Let y(a) = -20*a**3 + 17*a**2 - 6. Calculate -8*h(d) - 5*y(d).\nAnswer: -4*d**3 + 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3963*l**5 + 9*l**3 - l**2 - 1177055*l.\nAnswer: -237780*l**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:47 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 19 = 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-196))\/((-2810)\/(-6744)))\/((-18)\/28)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2827 - -990?\nAnswer: -1837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 265\/3 + -87. Let l be (-1 + -1)\/1*(-25 + (-4884)\/(-198)). Sort k, -18, 0, l in descending order.\nAnswer: k, l, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1.76, -2, -0.3, -3\/5.\nAnswer: -4, -3, -2, -1.76, -3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 != -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71723 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0.921.\nAnswer: 2.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 - 391512\/(-8898)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -211758, -211693, -211586, -211437, -211246, -211013?\n\"Answer: 21*y**2 + 2*y - 211781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.999554\nAnswer: -0.3998216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 15*h - 3. Let f be k(-7). Suppose -3*i + 0*p + 16 = -f*p, 0 = 5*i - p - 4. Suppose -w - 8 - 38 = i. What is w rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 - 9*i**3 + 37*i - 5*i**3 - 13*i - 12*i in the form k*i**3 + r + o*i**2 + u*i and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 19182*a + 38369*a - a**2 + 366*a**3 - 19182*a as t + h*a**3 + g*a + i*a**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -76. Suppose -n - 18 = -4*f, -2*f + 2*n - 14 = -4*f. Suppose -5*y - 5*b + 25 = 0, -f*y = -3*b - b + 20. Solve o - t*o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (6 - (-5 - -5)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 7, u: 7}. Give prob of picking 1 a and 2 s.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 986079 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 250*s**2 + 14*s - 13. What is the tens digit of c(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 80\/(-56) + 143\/7. Solve -34*a + w = 53 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4) + (-33)\/44. Suppose 3*n + 160 + 278 = h. Let b = 204 + n. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfxlzlkxzlxxxl. What is prob of sequence lff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 - u**2 + u. Let s = 40 + -34. Let j be (-4)\/s + 2*(-93)\/18. Let b(v) = -21*v**3 + 6*v**2 - 5*v. Give j*l(w) - 2*b(w).\nAnswer: -2*w**3 - w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 19*k**2 + 14*k + 42. Let c(a) = -7*a**2 - 6*a - 15. Let n(f) = 8*c(f) + 3*o(f). Let q(w) = w + 14. Let m be q(-9). What is n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -545 - -625. What is the highest common divisor of a and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22302 - -22327. Calculate the remainder when 380 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 124 = -3*u, 2*u + 2*u = -3*h + 156. Is (1 + 5)*2\/u*7269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 1\/9, -8, 1\/3, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(272) + 4 + sqrt(272) + (sqrt(272) + -6*sqrt(272))*1)**2.\nAnswer: -1008*sqrt(17) + 14982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0, 504\/1301?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*q - 12 = -235*q. Suppose 0 = -2*n + 3*v - 2 + 11, -q*v + 34 = 5*n. Let g(z) = -z**3 + 6*z**2. Calculate g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 83739755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 956 + -595. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48248*d - 26*d**2 - 96433*d + 48185*d.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/(-39) + 3854\/11544. Let c = z + 44729\/7696. Let v = -3773 - -22705\/6. Find the common denominator of v and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-27)*336\/(-40)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2984 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.618929 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.032 and 2?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031183090.\nAnswer: 2, 3, 5, 2111, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 336, 667, 984, 1281, 1552, 1791, 1992?\n\"Answer: -l**3 - l**2 + 341*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6325 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6\/13 (b) -23\/14 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 14 = -4*t, -t = 2*c - 8 + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29140 and 1220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/329 and -53\/2891.\nAnswer: 135877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 15*r - 29. Let z be b(17). Suppose -z*y = y + y. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 96178935.5 to the nearest ten thousand.\nAnswer: 96180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5. Let f = p - -0.000068. What is f rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -244556?\nAnswer: -244556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12645 + 17697. List the prime factors of g.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 19*l + 175. Determine p(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.4589 rounded to one decimal place?\nAnswer: 33.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 116\/(-14) - 2\/(-7). Let n be h\/20 - 244\/(-10). Suppose 78*j = 71*j + 56. Calculate the greatest common factor of j and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) -1\/2 (c) 12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {n: 8, j: 1, k: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 - ((-3 - -2) + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - m - 1. Let f(c) = 3*c**3 - 9*c**2 - 13*c + 10. Let j(p) = f(p) - 2*r(p). Let d be j(10). Solve -d*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.3, 595, -17, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9683847 at least -9683837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.9 (b) -0.3 (c) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/7 - 2668*x**2\/7 - 6208*x - 174848\/7.\nAnswer: 4*(x - 683)*(x + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 2\/9, -0.3, 4, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 49?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1a108a (base 14) to base 13\nAnswer: 264c64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/4))\/f*f*((f**(-1\/4)*f)\/f)\/f*(f\/((f**1*f)\/f))**(-11) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 138 = 0. Let d be 2\/13 - 12768\/(-2184). What is the greatest common divisor of d and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -26\/17, 620, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 4088 + 588 = 0. Calculate the lowest common multiple of 100 and c.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1.5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 57 = -5*f, 0 = 5*g - 2*f - 132. Suppose -y + 5 = -g. Calculate the remainder when y is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -3*u**6\/10 - 64*u**2 - 23*u + 2. What is the first derivative of f(q) wrt q?\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/3)\/1)\/(12\/(-612))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 59901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1785 and 38932.\nAnswer: 37147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 16\/(-54)*-6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19252883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574203 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.4, 4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 5*p**2 + 341*p + 203. What is y(-21)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 2:33 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**3 - 35*o**2 + 64*o - 3. What is u(-12)?\nAnswer: 1101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977890?\nAnswer: 2, 5, 97789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 25*v - 560 - 1777 = -42*v for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/14 - (-3765)\/(-56). Let w = y + 143\/2. Find the common denominator of w and (18*790\/240)\/33.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2 - 4\/4) - -2. Let m = -17 - -24. Suppose -1 + m = 3*x, 0 = -5*k + a*x + 379. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -325513, 1.7, 5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 45, 36, 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1 + 123\/2. Suppose 3*h = 3*k + 180, 5*k + 308 = -507*h + 508*h. Let n = k + m. Which is the nearest to n? (a) -4 (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 127*h**2 + 163*h + 36. Determine d(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 27*x**3 - 45*x**2 - 21*x.\nAnswer: -3*x*(x + 1)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 224 = -5*f. Are f and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a**2 + 235*a + 59*a**2 + 5 - 58*a + 33*a + 162*a.\nAnswer: 24*a**2 + 372*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67118802 to the power of 1\/2, to the nearest integer?\nAnswer: 8193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240023287 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 533, 530, 525, 518, 509, 498?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*w**4 + 1284*w**3 + 180*w**2 + 2*w?\nAnswer: 72*w + 7704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/347 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20813?\nAnswer: 13, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1321 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 8:08 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -777.3 - -777. What is the third biggest value in -0.142, 1, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1082c - 1171?\nAnswer: c68b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = 0, -h + 0 = -2*u - 6. Let i be -1*5\/(10\/(-19)). Let g = i - h. Calculate the common denominator of -71\/62 and g.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - sqrt(68)*1)*-4 + sqrt(68))\/((sqrt(16) - sqrt(32)\/sqrt(2))\/sqrt(4) + sqrt(4)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1573) + (sqrt(1573) - -1*sqrt(1573))*-2))**2 + sqrt(13) + 3 + 1 + (sqrt(39)\/sqrt(3))**2 + 0 + sqrt(13).\nAnswer: 2*sqrt(13) + 127430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 + 8.7. Sort -0.4, -5, w.\nAnswer: -5, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 13 = 2*n, -2*n - 2 = 0. Let p(j) = -j**2 + 8*j - 9. Let o be p(7). Put 1, o, a in decreasing order.\nAnswer: a, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5529279 and 2510?\nAnswer: 55292790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m - 39. Let c be o(-6). Suppose 3 = -y, -x = c*y + 2*y + 13. Find the third derivative of -10*l**6 + 3*l**6 - 6*l**x + 4*l**6 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.324 rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 7\/3*x**3 - 6 + 0*x**2 + 8*x. What is the derivative of f(d) wrt d?\nAnswer: 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 13*x**2 + 1. Let g(v) = 6*v**3 + 38*v**2 - 3. Give -17*f(u) - 6*g(u).\nAnswer: -2*u**3 - 7*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15312 = -22*x + 70*x. Calculate the greatest common factor of 121 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 = -n, 4*n - 25 = -5*z. Is z\/4 + (-1026)\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42079, 168316, 378711, 673264, 1051975, 1514844?\n\"Answer: 42079*s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3 - 90*s**2 + 347*s - 258 = 0.\nAnswer: 1, 3, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 + 2*x**4 - 3*x**4 + (3*x - 3*x - 2*x**2)*(-2*x + 2*x - 2*x**2) + 0*x**4 + 3*x**4 - x**4 - 2*x**4 + 7*x**4 + 0*x**4 - x**4 - 20*x**4 - 10*x**4.\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 875747*q*v*w + 22*q*w + 2*q - 3*v*w + 4*v - 44*w + 146 wrt q?\nAnswer: 875747*v*w + 22*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 8:07 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:50 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 + 3*u + 17. Give f(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 38. Let x be (q\/(-10))\/(1*(-4)\/10). Is 93033\/63 + 3*x\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 7*o**3 + 11*o**3 - 3 + 0 + 7*o**3. Calculate the remainder when 34 is divided by s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.8629 millilitres in litres?\nAnswer: 0.1688629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - x = -5*x + 12, -3*v - 4*x = -14. Factor 2 - v*m + m**2 - 2*m + 0*m + 2.\nAnswer: (m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*j*q - 242*j - 4*q**2 with respect to q.\nAnswer: -17*j - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - sqrt(102)*-2*5) + 2*sqrt(102)*-5)\/((5*sqrt(72)\/sqrt(3) - sqrt(24)) + (-1*sqrt(72))\/sqrt(3)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044 to five dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-9))\/(-11)*(-3)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.106\nAnswer: 0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 1, x: 2}. What is prob of sequence bxq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*q, 2*q + 420 = 4*y + 6*q. Calculate the remainder when 637 is divided by y.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1165 by -1.\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2786160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21488?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 332*s**2. Let l(d) = -156417*d**2. Determine l(b(p)).\nAnswer: -17240907408*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + x**3 + 10 - 168482*x + 168502*x.\nAnswer: x**3 + 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 340*r**2 + 666*r - 1008.\nAnswer: 2*(r - 1)*(r + 3)*(r + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8364 + -8349. Let j = 6 - 3. Let d(x) = -x - 1. Let r be d(-3). Solve a + t = j*s - r, 2*a - 2 = -3*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165528 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i - 3. Let q be t(-5). Let o = -13308 + 13325. Calculate the highest common divisor of q and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -9, -16, -23?\n\"Answer: -7*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9 - 1.7. Let f = j + 0.3. Which is the nearest to 8? (a) 0.3 (b) f (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 31*j + 17. Calculate the smallest common multiple of l(-15) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.83 less than 0.4?\nAnswer: -7.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*g**3*k**3 - 6*g**2*k + 72*g*k - k**3 wrt g.\nAnswer: 138*g*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 + (1 - 3) - -12) + 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -2*t**3 + 12*t - 3877. Let h(d) = 5*d. Calculate h(u(g)).\nAnswer: -30*g**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0*w - 1\/360*w**6 - 1\/60*w**5 - 1\/8*w**4 + 0*w**3 + 0 + 4*w**2. Let j(n) be the second derivative of d(n). What is j(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + a - 11*a + 13 - a**2 - 7*a. What is the tens digit of s(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 433*t - 209. List the prime factors of l(27).\nAnswer: 2, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = 2*c, 24 = 5*c - 2*j - 0*j. Is 4\/8*c - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -524499*a*l*p + 3*a*l - a*p**3 - 84*a - 3*l*p**2 + 3*l - 1 with respect to p.\nAnswer: -524499*a*l - 3*a*p**2 - 6*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 21 - -11) + -1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/5 + 35696052*f**2\/5 - 21236816418192*f + 84947151445440 = 0. Calculate f.\nAnswer: 4, 5949340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 548 + -1236. Let l = h + 1130. What is the highest common divisor of l and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 + 0.8. Let s = -1441\/8 + 180. Put -1, 1, s, i in decreasing order.\nAnswer: 1, s, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 16*r**2 - 10. Let x(t) = -t**3 - 11*t**2 + 126*t - 11. Let o be x(-18). Let n(m) = -3*m**2 + 2. Calculate o*n(d) - 2*y(d).\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 11*n**2 - 24*n + 3. Let w be v(-3). Let h(k) be the first derivative of -2\/3*k**w + 0*k**2 + 12 + 0*k. Let r(t) = -6*t**2. Calculate r(h(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 115.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - -98. Let f = 154.000003 - m. Round f to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -38.6. Let r = w + 1.4. What is the second smallest value in -0.4, 3, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 13*m - 632. Give g(54).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76150026*c**3*n**2 - c**2 + 16255*c*n**2 - 10*c*n - c - 2*n wrt c.\nAnswer: 456900156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1225 and 6915425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + k)*(1 + 0 + 1) + k - k - 5*k - k + 2*k + k + (4 + 0 - 2)*(0*k + k - 3*k).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -370, -737, -1104, -1471, -1838?\n\"Answer: -367*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - (sqrt(512)*-5)**2) + -3.\nAnswer: -12803 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 610765867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30.5 and -0.01.\nAnswer: -0.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72, 63, 60, 69, 96?\n\"Answer: z**3 - 3*z**2 - 7*z + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -63 (b) -5 (c) 1990\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870238?\nAnswer: 2, 17, 67, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2121212212122001?\nAnswer: -2121212212121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4430077, -4, -1, -2 in decreasing order.\nAnswer: -1, -2, -4, -4430077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y + 7. Let r(j) = 10*j - 15. Determine -5*k(a) - 2*r(a).\nAnswer: 5*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 293 = -195. Is -52 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34720 - 34710. Let c(t) = t**3 + 8*t**2 - 6*t + 3. What is the remainder when c(-7) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 44*p**2 + p - 593. Does 19 divide j(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*c = -14, -1909*x + 1910*x = -2*c + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -37, 0, -11 in descending order.\nAnswer: 10, 0, -1, -11, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101112 (base 3) to base 15\nAnswer: -13e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21443325 to the power of 1\/2, to the nearest integer?\nAnswer: 4631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 508 + -195. What is the remainder when w is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/39 and 29\/1946789.\nAnswer: 5840367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(3\/16)*g)*g*g**(-1\/15)*g*(g**12)**47 assuming g is positive.\nAnswer: g**(135629\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 216 + -208. Calculate the remainder when m is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 3:16 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(1539))**2*2 + sqrt(1539) + -1 + 1.\nAnswer: -63*sqrt(19) + 3084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -201 (b) 2 (c) -67 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -39*v - 11690. Let p = 435 + v. What is the remainder when 286 is divided by p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 20 = 5*j. Let t be (6 + (-12)\/2)\/(-1). What is the smallest value in t, 1\/18, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from fkkkovkov.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 487563*l**3 - 1053415.\nAnswer: 1462689*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 282441 to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-20))\/(((-21)\/12)\/(-7)). Suppose l - u = x - 54, 0 = 3*x + l - 157. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62758 and -145.2.\nAnswer: 9112461.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129 and 817.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 16*n - 18 = -2*w, -5*n = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u - 7*u + 6*u to p + s*u and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*p + 56, 0 = 5*z - 3*p + 11 + 91. Suppose 698*i = 704*i + 12. Let a be 12\/z - i\/3. Solve -m + 5*m = a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.74 - 0.06. Let w = -4.8 - r. What is the closest to w in -2\/3, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose w*n - 5*n + 25 = 0. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - 60*x**2 + 538*x - 23. What is r(7)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcq when three letters picked without replacement from bzcaccbbbqb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-21) + -2*124\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2341 + 4?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101010111101 + 11?\nAnswer: 11101011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 5*o**2 + 40*o + 55. Determine n(12).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 1 + 8*25\/(-80)*-4. Solve w*n = -3*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 0*s - 5*s + 7 - 7*s**2 - 5*s - 1. Let k be z(4). Let g = 325 + k. List the prime factors of g.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656037 is divided by 1264?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7238627 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) + 170\/40. Let o(h) = h**2 - h + 1. Let s(j) = -3*j**3 - 4*j**2 + 4*j - 5. Let m(q) = d*o(q) + s(q). What is the derivative of m(y) wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -915582*v**4 - 5079100 wrt v?\nAnswer: -3662328*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - -79)*-1*(-8)\/13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5*r + 0 - 6*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5817601*n**2 + 2615148 with respect to n.\nAnswer: 11635202*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - -66. Let g = c + -140. Is g >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/((5 + -9)\/(-1932)). Let d = 361 + q. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 + 3*x**2 + 3. Let i(h) = 18*h**3 + 26*h**2 + 26. Give 6*i(g) - 52*u(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2978*v - 607745 = -4337*v - 249310 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0. Let p = 4 + f. 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 -3*h**2 + 173715*h + 127520250 = 0. Calculate h.\nAnswer: -725, 58630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, 16.\nAnswer: -4, -1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q**2 - 13*q - 11. Let h(d) = 2*d - 4. Let r be h(4). Let c(t) = 5*t**2 - 6*t - 5. Let s(g) = 3*g - 27. Let y be s(6). Give r*p(a) + y*c(a).\nAnswer: -a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 4199271?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - 1. Let n = 17 + u. What are the prime factors of n + -6*9\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 585 - 587. Let v(n) = 30*n + 60. Let h be v(r). Sort 35, h, -1, -2 in decreasing order.\nAnswer: 35, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35632 = 57*u + 252*u - 571*u for u.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let f = 0 - -1. Let y be s(f). Let g(r) be the third derivative of -r**6\/120 - r**5\/60 - r**3\/6 - 2*r**2. Give g(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2756670 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244 - 34254*p - 244.\nAnswer: -34254*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.5 - 63. What is the third smallest value in 4\/7, -5, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 575624.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:42 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 24 = 7*p - 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169.1563kg to tonnes.\nAnswer: 0.1691563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*i = 168*i + 249661. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 57. Let n(t) be the third derivative of -1\/60*t**5 - 1\/120*t**m + 0*t + 0 + 4*t**2 + 0*t**4 + 2\/3*t**3. Determine n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2332 - -17513. Is 135 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2 - 5 + 2 + 3*s. Suppose -2 = 2*h + h - t, 5*h - 4*t = -8. Let l = h - -4. Determine w(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009877773 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168 - 145. Let r(b) = 5*b**2 + t*b**3 - 22*b**3 - 2*b**2 + 3*b. What is r(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -97*k - 281. Let o be m(-3). Let b(p) be the second derivative of 25\/6*p**3 + 0 + o*p - 6*p**2. Find the first derivative of b(w) wrt w.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02274 + -1.97726. Let a = -0.8 + 1. Let i = a - -0.3. What is the third smallest value in -1\/4, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 2. Determine n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*w = 509696 + 3201276 + 1345588. What is the remainder when w is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-10)\/(200\/2)*5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -178*n**2 + 262*n - 3. Let y(b) = 360*b**2 - 524*b + 7. Let l(w) = 5*a(w) + 2*y(w). What is the second derivative of l(r) wrt r?\nAnswer: -340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*i - 42*i + 71*i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2955095830 a multiple of 842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 41*w**2 - 85*w - 43. Let q be o(43). What is the biggest value in 2\/3, 2.9, 0.2, q?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 46 + 3*v**2)*((-1 + 1 - v)*(2 + 0 - 1) - 2*v - 2*v - v).\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167 by 149270.\nAnswer: 167\/149270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b - 2. Let h(i) = -3*i + 2. Let g(f) = -f + 1. Let d(z) = -2*g(z) + h(z). Determine 5*d(j) + p(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 64*y = -63*y - 3, -10 = 5*u - 4*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -2.1, 0.036, -60\/7, 0 in decreasing order.\nAnswer: 1\/7, 0.036, 0, -2.1, -60\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*v - 23*v**2 - 134*v + 39*v.\nAnswer: -23*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(8\/7))**30)**(-5) assuming k is positive.\nAnswer: k**(-3300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 652954163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 5*b**2 + 330*b + 234. What is c(-14)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2050 and 15170.\nAnswer: 75850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = 78 - 1528. Let b = -13 - -42. Calculate the highest common divisor of q and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 45*t**2 - 18004. Let r(c) = 10*c. Calculate i(r(w)).\nAnswer: 4500*w**2 - 18004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b - 66*b = -16. Sort 5, b, 0, 2 in increasing order.\nAnswer: b, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 = -5*f + 89. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 + 157 - 419901*f + 839794*f - 419894*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9056, -9060, -9064, -9068, -9072, -9076?\n\"Answer: -4*a - 9052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7044782.22ns in weeks?\nAnswer: 0.00000001164811875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:43 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129569702 or 129569703?\nAnswer: 129569703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16240 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 270\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/3*48\/8. Suppose -a*d = -74*d + 108. What is the remainder when 50 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-34)*s\/(s**(-1\/34)*s) assuming s is positive.\nAnswer: s**(1191\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41007?\nAnswer: 3, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-6)\/240*-12.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -924, -1846, -2768, -3690, -4612, -5534?\n\"Answer: -922*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -9792712?\nAnswer: -9792712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/5 + 278*s**4\/5 - 2*s**3 - 278*s**2 + 8*s\/5 + 1112\/5 = 0. Calculate s.\nAnswer: -139, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -13*v**5\/20 - 16*v**4 + 141*v**2. Let r(m) = 7*m**2 + 64*m. Let f(b) = 34*r(b) + 6*u(b). Factor f(z).\nAnswer: 4*z*(z - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 10*j**2 + 10*j + 53. Let b be m(-5). Suppose -8552 = z - 128*r + 130*r, 0 = -b*r - 3. Round z to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -220 + 222. Find the second derivative of 153*h + 1 + 2762*h**4 - 2*h**2 - 2*h**o + 12*h**2 - 2769*h**4 wrt h.\nAnswer: -84*h**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h - 101*h + 1416 = 6*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 805?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -6 - 0) + -2. Let c be -2*1 + u + 12. Solve 0 = -2*g - c - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-58)\/20*(-13)\/(-26) and 5\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-904)\/(-16) + -1 + (-6)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 2 p when four letters picked without replacement from bsnpmspo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:42 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + ((sqrt(156) - -2*(sqrt(156) + (sqrt(156) - sqrt(156)*-1) - sqrt(156))) + sqrt(156))\/(-5*(sqrt(1200) + sqrt(12))) + -5))**2*3.\nAnswer: 22464\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 999 and 5184.\nAnswer: 191808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:25 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from csccunoennecueo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/153 and 46\/39179679?\nAnswer: 117539037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:39 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from edjezzjrreeeh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 8*s**2 + 5*s + 107. What is l(-5)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 188*m + 2*m**2 + 355*m - 167*m.\nAnswer: 2*m**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 8. Let b be ((-9)\/6)\/(6\/(-20)). Let w be u(b). Suppose 5*i - 4*y - 136 - w = 0, -5*i - 5*y + 130 = 0. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/6, -9, -10\/3.\nAnswer: -9, -10\/3, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0*t**6 + 0*t**2 + 1\/6*t**3 - 2*t - 5\/42*t**7 + 0*t**5 + 0 + 0*t**4. What is the second derivative of a(y) wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**3 - 9*l**2 + 12*l + 12. Let k(s) = -3*s**3 + 3*s**2 - 4*s - 4. Let d(w) = -4*g(w) - 11*k(w). Give d(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 17. Let s be d(-10). Calculate the greatest common divisor of 33 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from lodldddzdoddlddd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -375 * -5\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -960 - -0.22.\nAnswer: -959.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6106 + 969 = -176*x + 915 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*l - 184*l + 3 - 24 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -50) + (79 - 116)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bwbwbbwb?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r + 1. Is (274\/6)\/(r\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 4*v - 4, 0 = -6904*v + 6899*v + 4*d + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z. Let j(y) = -1813*y**2. Give b(j(l)).\nAnswer: 14504*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 23961?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3336440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 1 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 29.99999979. What is s rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -442167, -441780, -441391, -441000, -440607, -440212?\n\"Answer: b**2 + 384*b - 442552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*p + 79 + 71 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73601 minus -5?\nAnswer: 73606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 19. Solve -a*x + 1 = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19399 is divided by 6454.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*z**2 + 77.\nAnswer: 224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - h**3 - 2*h**3 + 9*h**3 - 13*h**3 - 10*h**3 + (-2*h + h - h)*(-125*h + 125*h + 11*h**2) - h**3 - 4*h**3 + 4*h**3)*(1 + 0 + 0)*(-8 + 0 + 12).\nAnswer: -152*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1766, -1607, -1462, -1337, -1238, -1171, -1142?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12512.99957752 + -12513. What is y rounded to 5 decimal places?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1317755 = 195*i - 6313232 - 6870578. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4693777 and 891.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -258598 and -31.\nAnswer: -258629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3487 + 34959\/10. Let m = 478\/15 - 187\/6. Calculate the common denominator of r and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1543a - -28a?\nAnswer: 15719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56394834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = -3*h, -4*h - 4 = 2*m. Let w(j) = -6*j**2 - 26*j - 5. Let r be w(m). Solve -2*b = k - 2*k + 7, 3*b + 18 = r*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -28*b + 149. Determine a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310456739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Suppose s = -3*u + 4 + 2. Is u*(0 + 21\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42763 + 1087803022\nAnswer: 1087760259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 2 = f - 40*j, 0 = -j - 1. Solve -5*k - 18 = -3*y, 0 = -k + f*y + 2 - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**3 + 1418*v**2 - 2907*v + 1448. Let f(c) = 87*c**3 + 9936*c**2 - 20349*c + 10137. Let k(o) = 4*f(o) - 27*z(o). What is t in k(t) = 0?\nAnswer: 1, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14077333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(7 - 2)\/10. Suppose 3*y - 46 = -4*b, 0*b + 3*y = 2*b - 14. Let v be (-4)\/10 + 4\/b. Solve v = -s*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = -2*t + 187, 2*a = -t + 74. Suppose r + 6 = a. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 30\/42 - 29\/28.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 5*d**8\/168 - d**7\/105 - 19*d**6\/60 - 7*d**5\/30 + 7*d**4\/6 + 8*d**3\/3 + 13*d**2 - 10*d. Solve r(t) = 0.\nAnswer: -1, -4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5721168 and -5.2807.\nAnswer: -4.7085832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 6. Let p be l(7). Suppose 0 = -4*a + 1 - p. Suppose -2*d + 7*d = 0. Sort d, 3, a in increasing order.\nAnswer: a, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247618*t - 251715*t - 548998 = 0 for t.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1195, 4, 3, 119 in descending order.\nAnswer: 119, 4, 3, -1195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b + 2. Suppose -2*l + 26 = -t + 3*l, 0 = -5*t - l. Let j be s(t). Suppose j = -3*m + 1028 + 4531. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 13133357.\nAnswer: 13133357.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.19 - 4.19. Which is the second smallest value? (a) k (b) -0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 583430286 - 583429716.999742. Let n = 569 - w. What is n rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.9858225 milliseconds to hours.\nAnswer: 0.00000194050625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, 2, -122 in descending order.\nAnswer: 4, 2, -2, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*o - 31*o + 51*o + (3 + 0 - 1)*(o + 0*o - 2*o)*(2 - 2 - 2).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(sqrt(1573) - 2*sqrt(1573)*2).\nAnswer: -1 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*l**2 + 742*l**2 + 37*l - 1 + l + 30*l + 2*l.\nAnswer: 514*l**2 + 70*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a - 16. Let r(o) = 2*o + 5. Let j = -413 + 430. Calculate j*r(g) + 6*q(g).\nAnswer: -2*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -349863*u - 300857 wrt u.\nAnswer: -349863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26577 (base 8) in base 3?\nAnswer: 120222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958465.6 litres to millilitres.\nAnswer: 958465600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 175.\nAnswer: -87.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p + 46 + 44 - 30 = 0. Solve 8*b = y + 10*b + p, 13 = -3*y - b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.55 - 0.25. Let d = -37 - -41. What is the nearest to 1 in 0, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.0368 - 0.0368. Let q = 0.899 - 0.399. What is the second biggest value in q, -7, f, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276 + 22. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a + 1. Let r(u) = 2*u. Let w(k) = 3*j(k) - 5*r(k). Give w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206422057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 6*u**2 + 865 - 5*u - 78*u**2 + 21*u - 15*u**2 - 739. Find the first derivative of n(p) wrt p.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/24)\/i**34*i**10\/i*(i**(1\/8)*i)\/i assuming i is positive.\nAnswer: i**(-149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8985091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1676, 5, 0 in increasing order.\nAnswer: -1676, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1287*r - 1308*r + 336 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 3346*a**3 + 1672*a**3 - 20*a - 4*a**2 + 4*a + 1672*a**3.\nAnswer: -2*a**3 - 4*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1085\/4 or -270?\nAnswer: -1085\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001111101 (base 2) to base 12.\nAnswer: 1a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 28200*k - 198810000.\nAnswer: -(k + 14100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -13477 - 13509 - 5*s + 27011. Determine d(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 + 52. Let v = 26 - 23. Suppose v*g + g = 0. Is k(g) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7376 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/11 - 412456\/(-242)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 2. Let m be r(2). Suppose m = 3*a + 2*a. Are 0 and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-39) - (-164)\/52. Solve 0*p + n*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -5. Let w be 1 + 2\/2*-1. Suppose -j + 3*j - 12 = w. What is the smallest common multiple of j and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -14*b**2 + 6*b + 12. Let j(q) = 3*q - 5*q + 6*q + 9 - 9*q**2 + 0*q**2. Let v(x) = 8*j(x) - 5*k(x). Find m such that v(m) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2683435\/284964 + -2\/23747. Find the common denominator of -11\/11632 and t.\nAnswer: 34896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -11147?\nAnswer: -11153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*v - 124. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 284.\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1109, -4436, -9975, -17720, -27665, -39804, -54131, -70640?\nAnswer: -89325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(2) + sqrt(2))*2.\nAnswer: -16*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 + 2*w**2 - 3*w + 4. Determine b(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.127405 litres?\nAnswer: 9127.405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 248\/20 - 4\/10. Solve 4*k + b = 8*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6619*q*t**2*z - 2*q*t + 2*q*z - 48*q - 7*t**2*z + t*z + z wrt t.\nAnswer: 13238*q*z - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 7*s - 2*f + 3614, 2*f - 1806 = -s. Suppose -s - 8644 = -26*a. List the prime factors of a.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 112*n**2 - 208*n - 2268. Give h(114).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -144274081 and -0.56.\nAnswer: -144274081.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19520548 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k**2. Let w(m) = -740 + 740 - 2*m. What is w(h(r))?\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1557, -1589, -1625, -1665, -1709, -1757?\nAnswer: -1809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000105493 to 6 dps.\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -4, 2, -0.5, -461\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*u - 28*u**2 + 122*u as v + b*u**2 + k*u and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d + 1. Let o(m) = -4*m**2 - 5. Suppose 2*c + 1 = 3*x - 0, 0 = 4*x + c + 6. Let u(h) = x*o(h) - 3*p(h). Find r such that u(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2450 and 245?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - (24 - 20)) + 15 + 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/2 + 2*l**4 - 13*l**3\/2 - 20*l**2 + 24*l = 0 for l.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 12, -3, 0.74, -5, -2\/13, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*-2*2\/3 - -1. Suppose -10 = 5*x + w*i, 3*x + 4*i + 7 = -4. Suppose 4461 + 2027 = x*l - 5*f, -3*l = 3*f - 6480. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 2 - 6\/(-2). Let i(r) = j*r - 5*r + 2*r. Let a(n) = -4*n**2. Determine i(a(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2388.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 + 2. Let w = s - -1.6014. What is w rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 592207706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95742 and 62646?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 7:22 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -199*m**2 - 150*m**2 - 3*m + 488*m**2 + 0*m as n*m + c*m**2 + a and give c.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3 - 1)*-471. Let r = 331 - 199. Suppose -3*q - r + x = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1114421 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*c + 213875 + 462220 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2 - 10) + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4848900 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.888 - 7043.112. Let n = 7043.993682 + o. Round n to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44\/13 + -422\/117. Which is the second smallest value? (a) y (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2460 is divided by 224.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -885502*b - 15053539. Calculate o(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r - 4 + r**3 - 3*r**3 + 9 + 5*r**2. Suppose 2*s + 31 = -5*a, 3*a + 5*s - 5 = 7*a. Let o(j) = -2*j**3 + 4*j**2 + 4*j + 4. Calculate a*o(k) + 4*y(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 1:31 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from tttttttuttttu.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*n - a**2 + 1977*n + 1347 wrt n?\nAnswer: 2*a**2 + 1977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - -134404?\nAnswer: 134441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.6061 to 1 decimal place.\nAnswer: -115.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 14*r**2 + 6*r + 12. What is v(-7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, -870, -2786, -5470?\nAnswer: -8922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 386?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(sqrt(84) - 3*sqrt(84)*-3)\/(-5*sqrt(588)).\nAnswer: -72*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -713 = -3*l - 155. Let j = l - 185. Let v = 0.3 + -0.2. Sort 10, j, v in increasing order.\nAnswer: v, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from {h: 2, v: 8, y: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 6*o**2 - o - 8. Let g be a(-6). Let z = -17 - -15. Is z at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 183686.\nAnswer: 183686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, q: 6, u: 8, x: 2}. What is prob of picking 1 u, 1 q, and 2 x?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 123*o + 1562. Calculate q(-12).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (396\/(-1716))\/((-8)\/52)*(-2)\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/11))**(1\/3) assuming z is positive.\nAnswer: z**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536*k + 532*k - 103600 = 1060*k. What are the prime factors of k?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**2 - 2144*w - 10569. Determine t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 11:30 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201.5 - 211.5. Suppose -d + 4*d + f - 14 = 0, -5*f - 15 = -2*d. What is the nearest to z in 1, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10998 and 8109803.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4614160, -4614161, -4614162, -4614163, -4614164?\nAnswer: -4614165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -3*d + 8*s - 9*s, 4*d = 5*s + 52. Solve r + 24 = -3*r - 4*y, -5*r + y = d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*t + 20. Let k(c) = c**3 + 8*c**2 - 2*c - 12. What is the remainder when (-32)\/(-3) + (-1)\/(-3) is divided by k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5016*r**4 + 1376*r**2 - 25*r + 864*r**2 - 802*r**2 + 27*r wrt r?\nAnswer: 120384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + 7*w**4 + 4*w + 3*w**4 - 2*w**4 + w**4 + (-2*w + 0*w + 0*w)*(2*w**3 + 1 - 1) + w**4 - 3*w**3 + 3*w**3 + 2*w**2 + 0*w**2 - 4*w**4 + 0*w**2.\nAnswer: 2*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by ((-224)\/(-105) - 2) + (-356)\/(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38cb (base 14) to base 3\nAnswer: -111200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:46 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23269 + 23268.25499. Let g = s - -0.74. Round g to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 12*b + 11. Let q be j(-11). Solve -n = -q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/13)*j)\/((j**10\/j)\/j)*(j\/(j**(1\/4)*j))**(-28))**(-20\/9) assuming j is positive.\nAnswer: j**(-500\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 31*j + 119. Let b be z(-4). Let u be (-77)\/4 - (-5)\/(-20) - b. Let c be (-2)\/((-18)\/21 + 1). Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1502\/309 - 20\/103. Let u be -2 - -3 - (4 - 6). Suppose -d*g**4 - 4\/3*g**u + 40\/3*g + 14*g**2 + 8\/3 = 0. What is g?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 1\/5 (b) 3\/38 (c) -2\/7 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 948 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 49, 5, -4, 0, 4, -742 in decreasing order.\nAnswer: 49, 31, 5, 4, 0, -4, -742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 + 2*m**2. Let w(x) = -16*x**3 + 7*x**2. Let p(q) = -q + 14. Let u be p(14). Let o be 18\/(-45)*(-5 + u). Calculate o*w(f) - 7*t(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.9 - 2.9. Let s = k + -11.4. What is s rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364832 divided by -63?\nAnswer: -21664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 1620.\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1693 - -1697. Suppose 7 = -2*g + 11. Solve 0 = -d*p + g*m + 10, -5*p = 4*m + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(208) + 5 + sqrt(208) + 1 + sqrt(208) - (2 + 2*sqrt(208)))*4.\nAnswer: -48*sqrt(13) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1805*k**2 + 130*k.\nAnswer: 3610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1840)\/230)\/((-18)\/(-1))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-10)*1\/(-1). Suppose -412 = k - 3*h, 1984 = -3*k - 2*k - x*h. Round k to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/a**1)\/((a\/a**(-2\/9))\/a*a**(1\/7)))\/(a**(2\/11)*a*a**(2\/7)*(a\/(a*a**(-4)*a))\/a**(-1)) assuming a is positive.\nAnswer: a**(-1963\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h*(h**11\/h*h)\/h)\/h)\/h)\/(h\/(h\/(h*h**(1\/4))*h)))\/(h*h\/(h**1\/h))**(-2\/93))**(-24) assuming h is positive.\nAnswer: h**(-7286\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3703131 + 6783131. Round w to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))**(-6)*f*f**(-7)*f**(3\/2))**(-1\/26) assuming f is positive.\nAnswer: f**(9\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from {q: 6, r: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*o**3 + 42533*o**2 - 2153642 wrt o.\nAnswer: 78*o**2 + 85066*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 3. Let o(q) be the third derivative of q**5\/60 - q**3\/6 - 2*q**2 + 9*q. Determine 4*o(j) - z(j).\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - y = -13, 13 = -7*o + 12*o - 4*y + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5*a + (0 - 2*a + 0)*(3 - 1 - 4) - a + 0*a + 3*a + 0*a + a + 0*a)*(-76 - 14*a + 76 + (2 - 5 + 4)*(4*a + 0*a - 2*a)).\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * 1798.\nAnswer: -70122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-50))\/(87\/(-290))*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1637 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 739207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131 - -577. Let b = x + -68. Does 51 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqm when three letters picked without replacement from mwwqwrkkwqqqqkmq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 10*m**2 - 12*m - 14. Let i be k(-11). Let n be i - -4 - -2 - 1. What is the closest to 2\/3 in n, -1\/4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -0.1, -364, 2\/5 in increasing order.\nAnswer: -364, -18, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y. Let x = 11 + -12. Let g(r) = 11. Let f(i) = -i - 1. Let o(t) = x*g(t) - 11*f(t). Give o(v(k)).\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 193 - 5 = -54. Let m(b) = -b**3 - b**2 + 5*b + 3. Let h be m(-3). What is the greatest common factor of n and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3*(m\/((m\/m**4)\/m))\/m*m*m\/((m\/(((m**6\/m)\/m)\/m)*m)\/m)*m\/(m**(1\/9)\/m) assuming m is positive.\nAnswer: m**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l*l**6)\/l*l)*l**4*l**(-3)*l\/l**(1\/3)*((l*l**(-1))**(1\/4))**(2\/43) assuming l is positive.\nAnswer: l**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*n + 62199 = -223875. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from {m: 1, y: 2, t: 2, n: 2, j: 5, q: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2080494, -2080497, -2080512, -2080545, -2080602, -2080689?\nAnswer: -2080812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 170*c**2 - 7*c + 152. What is the ten thousands digit of b(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398, -1625, -3680, -6569, -10298, -14873, -20300?\nAnswer: -26585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-1*sqrt(192) - sqrt(192)) + sqrt(4)\/(sqrt(2)*-3)*1.\nAnswer: -11*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52096, -104177, -156232, -208249, -260216, -312121?\nAnswer: -363952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 20*j**2 - 18*j - 8. Let n be 2\/4*(-2 + 10). Suppose 48 = n*z + 2*y, 0*z + 2*y - 9 = -z. Calculate the remainder when p(2) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + -4 + 1 + sqrt(1008) + -2 + sqrt(1008) + 1 + 3 + 0)**2.\nAnswer: -336*sqrt(7) + 4081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66, -111, -142, -153, -138, -91, -6?\n\"Answer: q**3 + q**2 - 55*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7272.5561 + 7149.96. Let v = u - 0.0939. Let f = v - -122. What is the third biggest value in -4, -1, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6594048 - 9786952. What is g rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f - 37*f - 100 = 0. Let y be (f + -6)*(1 - 0)*-5. Solve -4*o - 16 = -4*j, j = y*o - 0*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, y: 7, v: 3, q: 4, s: 3}. What is prob of sequence sb?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 12. Suppose 5*v - 12 = -4*p, -3*p + 4 = 2*v + t*v. Suppose l = 5*l - p. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k + 25 = 5*t, -5*k = -4*t + 20. Suppose -i = -2*i + 4. Solve k = -i*z - z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + -20552*2\/856\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, c: 6, x: 1}. Give prob of picking 2 q and 1 x.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 199, 398, 597, 796?\n\"Answer: 199*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15367147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -7\/37 (c) 32455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.84 + -0.8. Let p = v + -2. Let y = 0.06 + p. Put 0, y, -2 in ascending order.\nAnswer: -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*c + 53714 = 37*c. What is c rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.4 (c) -6 (d) 2 (e) 0.2 (f) 1 (g) -0.195\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 2*r + 10, 3*q = 1352*r - 1349*r + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -92*l - 542. Let m be t(-6). Solve -3*j - 25 = 2*d, d + m = 3*j - 4*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -48. Let t = g + -22. Let o = 51 - 203\/4. Which is the second biggest value? (a) o (b) 2\/17 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50.6 + -5.6. Let y = 43 - n. Is y bigger than -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 55.1. Sort 4, 0.04, q in increasing order.\nAnswer: q, 0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11 - 5 + 6*w - 16. Let m(o) = -o + 2. Give 16*m(c) + 3*x(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2476\/10 + ((-12)\/15)\/(-2) is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -151, -151, -153, -157, -163, -171?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.5 + -47. Let j = -12.49999949 - y. What is j rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000006192391 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - (-1)\/3*134520\/(-1520))*4\/723?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 1.6, 2.3, -1, -43\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25804\/11 + -2350. What is the nearest to -0.2 in -1, i, 8, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 57592*u - 518334. Determine p(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2726.792 * 6\nAnswer: -16360.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -17 + 62. Solve -u - x*f - 15 = 0, -u - f = 3*u + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 7*g - 238 = 3*d + 217, -2*d - 2*g = 130 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22233.3 and 1329017.\nAnswer: 1351250.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**5 + 1. Let n(p) be the third derivative of p**8\/56 + p**7\/105 - p**5\/30 - p**4\/24 + 5*p**3\/6 - p**2. Let f(m) = 20*i(m) - 4*n(m). Factor f(d).\nAnswer: -4*d*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67628114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -15.3251, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*y**3 + 5 + 8*y**4 + 2*y**2 + 0 + 3 - 32*y - 8*y**2.\nAnswer: 2*(y - 1)*(y + 2)**2*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 a, and 1 g when four letters picked without replacement from aaacwaaawkagwkawa.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-27))\/4*72\/(-48).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)\/((q*q\/((q\/(q\/q**20*q))\/q))\/q) assuming q is positive.\nAnswer: q**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4357 is divided by 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21047925 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1242 + 615665?\nAnswer: 620240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 11*h**2 - 26*h + 1. Let g = 4 + 13. Is i(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 7*t + 5953 + 4782 = 0. What is the remainder when 567 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 67323666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(24\/14) + -1. Suppose -4*m + 4*n + 12 + 4 = 0, 4*m + 5*n - 52 = 0. Suppose -3*c - m = -5. What is the closest to -1 in c, b, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + j - 2. Let x(t) = -5*t + 671*t**2 + 666*t**2 - 1342*t**2 + 9 + 20*t**3. Let i(w) = -4*b(w) - x(w). Calculate i(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a22a (base 11) in base 16?\nAnswer: -237c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626114.\nAnswer: 2, 37, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 36599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2.9, 0.2, -81, 0.03, 4\/19?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4500 = 61*h - 79*h. Which is bigger: h or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/120)\/((-180)\/(-32))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/7 - 702*v**2\/7 - 7160*v + 446400\/7 = 0. What is v?\nAnswer: -620, -90, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174420 and 9?\nAnswer: 174420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y = 40*y + 10. Let b = y + 66. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -43. Suppose 3*h - 3*p = 270, -j*p + 153 + 22 = 2*h. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10878, 12291, 13704?\nAnswer: 15117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/1 - 4\/(-6)*-3. Suppose 4*k - 9 = -3*c, -4*c = l*k - 16 + 4. Let q(n) = 3*n + 2. Determine q(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1088605 and 31\/155515?\nAnswer: 1088605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 2. Let x be q(-4). Let v = 2 - x. Suppose 4*m - v + 10 = -3*h, 4*m + h = 26. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:54 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uoooicuocuc. Give prob of sequence occc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 4. Suppose 4*m = -m + t. Solve 2*a - 23 = 5*o, 7*a - o - 1 = m*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**2)\/(r\/(r*(r*r**(-3\/7)\/r)\/r))*(r**6)**(-18) assuming r is positive.\nAnswer: r**(-773\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49342598 and 11.3.\nAnswer: 49342609.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12.56, -0.05, 1, -4 in ascending order.\nAnswer: -12.56, -4, -0.05, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 1233*m**5\/20 + 1289*m**4\/24 - 4235*m**2. What is the second derivative of t(f) wrt f?\nAnswer: 7398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39483764 is divided by 1787?\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67374, -67376, -67378, -67380?\n\"Answer: -2*m - 67372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4665*q**3 - 659*q**3 + 7865*q**3 - 1992*q**3.\nAnswer: 9879*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764327.3 litres to millilitres.\nAnswer: 764327300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -11.4\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301121 + 120?\nAnswer: 301301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*z + z. Solve -3*h + 6*h = z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + i**2 - i + 120. Let o be (-3)\/12 + 3\/12. Let t be v(o). Suppose -85 = -c + 5*d, 4*c - t - 196 = -4*d. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4)*16\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -897 times 3?\nAnswer: -2691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -51628*((-10)\/4)\/5. Let f = 8058 + -3244. Let s = f - w. Round s to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -511 - -781. Calculate the smallest common multiple of j and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:43 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*j = 11, -j = 5*w + 16 - 38. Sort 3, w, 248.\nAnswer: 3, w, 248","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/3))**(1\/55)\/(u**(-2\/13))**30)**(-32))**(-20) assuming u is positive.\nAnswer: u**(1268864\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212002230 (base 4) in base 9?\nAnswer: 706304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + 3*j**2 + 2*j**2 + (3*j - 4*j - 2*j)*(4*j - 2*j - 18*j) to v*j + d*j**2 + q and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.017 + -12.95. Let r = -1208.567 + 1208.5. Let a = r + i. What is the closest to 5 in a, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -27*o - 3. Suppose -5*c + 20 = 2*f, 16 = 6*c + 2*c. Let y(l) = 40*l + 4. Determine f*y(b) + 7*a(b).\nAnswer: 11*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32256 - -65.\nAnswer: 32321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163520 and 112280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 554917 less than 347?\nAnswer: -554570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -9781225?\nAnswer: 9781228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 9. Suppose 4*s + t - 32 = 0, 5*t = -4*s + 15 + 17. Let m be x(s). Let q = m + 4. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -13 - -16) + 0 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 90*g + 1235. Determine a(-103).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4985 - 4980. Let u be (-92)\/(-10) + 1\/(-5). Suppose r + u = 22. What is the remainder when r is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3 + 2)*(7*z + 0 + 6 - 6*z)*(-58 - 47 - 95)*(-z + 2*z - 2*z) as c*z**2 + m + v*z and give c.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 314, 500, 714, 962, 1250?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 471 - 214. Is z at least 256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107466 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 3.5, -0.07, -282, -0.4, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130270, -130279, -130288, -130297?\nAnswer: -130306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 29*n**2 - 18*n + 9. Let x(z) = -z**3 + 14*z**2 + 9*z - 4. Let w(k) = -3*f(k) - 7*x(k). Let d be w(12). Solve 5*u + 12 - d = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-35)\/(-336)*8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 7744 + 8784*a + 843 - 4*a**3 + 2184*a**2 - 2128 + 2341 + 0*a**3 = 0.\nAnswer: -2, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6397, -12669, -18937, -25201, -31461, -37717, -43969?\n\"Answer: 2*q**2 - 6278*q - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1340408 divided by -2446\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 7*p + 8. Suppose d + 18 = -2*d. Let r be z(d). Let u = 228.428 + -228.228. Sort 0, u, 0.1, r.\nAnswer: 0, 0.1, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12785390595 from -0.1.\nAnswer: -12785390595.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*s = -81, 4*w = -s - 85 + 254. What is the greatest common divisor of 567 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1042*q + 353257. What is j(-339)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37003 is divided by 11897?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/38 - (-33072)\/247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 + 4*a**5 - a**5 - a**5 - a**5 + 3*a**5 + (-2*a - a + a)*(2*a**4 - a**4 - 2*a**4) + 1 - a**5 - 1 - 16*a**5 - 11*a**5 - 4*a**5.\nAnswer: -28*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 100. Calculate the highest common factor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 + c)*(-2*c**2 - 5*c**2 + 5*c**2) + 0*c**3 + c**3 + 0*c**3)*(c**2 - 5*c**2 + 5*c**2).\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 5 (b) 0.1 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 298077029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f = -9 - 73. Suppose -726004 = -2*a - f*j, -180515 = -a + 5*j + 182475. What is a rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Suppose g + 4*y = 4*g - 17, -4*y - 23 = -5*g. Let h(z) = -5*z + 1. Let w(a) = g*x(a) + h(a). List the prime factors of w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbcbbbbccccbcbbbbb. Give prob of picking 3 b.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h + 3*h - 7*h**2 + 5*h wrt h?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*v - 82, -4*h + 5*v - 16 = -108. Suppose -35 = -h*w + 55. Solve -2*g = g + 2*r - 4, -g - w*r + 10 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7576, -15095, -22614, -30133, -37652, -45171?\n\"Answer: -7519*x - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 - -69. Let r = t - -51. Let k = 0.6 + -0.1. Which is the biggest value? (a) k (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 213 = -171. Solve 0*g - a*g = 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 578\/8 - (-5)\/(-20). Let i = 361\/5 - p. Let o be (-5 + -3)*3\/(-24). Which is the nearest to i? (a) o (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 689454042 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1411, -2566, -3501, -4240, -4807?\nAnswer: -5226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 bigger than -17\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15267 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -38.5. Let q = 0.08 - -0.02. Let d be 2\/(-3) - (-11)\/3. What is the closest to q in d, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.9 (b) -10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, -398, -1893, -4684, -9173, -15762?\nAnswer: -24853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264 + 11*a + 255*a**5 - 423 + 183 wrt a.\nAnswer: 5100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j + 7 + 107 = 0. Let w(d) be the second derivative of -d**3\/3 - 5*d**2 - d. Let l be w(j). Let x(n) = n. Let b(g) = 2*g. What is l*b(z) + 11*x(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 29.9792, -0.2?\nAnswer: 29.9792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 346703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/120 - k**4\/4 - k**3\/3 + k. Let s(y) be the second derivative of c(y). Let t be s(7). Which is smaller: -2\/9 or t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/4 - 57*z\/4 + 27\/2.\nAnswer: 3*(z - 18)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278 and 17922521?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*u + 2232 = 1324 - 1627 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2. Let g(v) be the third derivative of -3*v**5\/10 + 549*v**2. Determine g(m(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 114\/(-27) + 6 + (10 - 12). What is the fourth biggest value in -11, 3\/5, b, 26?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c**2 + 2*c)*(-c + 2*c - 4*c) + (-75*c**2 - 5*c**2 + 186*c**2)*(-1 + 3*c + 1).\nAnswer: 321*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -93. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27434 and 129547.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 327321529 divided by 1447\nAnswer: 226207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 11 = 9. Let q = v - -9. Suppose 8 = k - 3*z, -3*z = -0*k + q*k - 40. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (287580\/36)\/((-190)\/(-1026)).\nAnswer: 3, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m - 165*m + 3 + 60*m + 0 - 3.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415 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: Let g(x) be the second derivative of 2*x + 0*x**2 + 1\/3*x**3 + 6. Let j(f) = 3 - 4*f - 3. What is g(j(k))?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 18 = -6*m. Let h(i) = -6*i + 33. What is the units digit of h(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 42. Suppose 0*r = -2*r + a. Calculate the remainder when r is divided by 3*(-8)\/(-18)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*s + 1020*s + 1087 = -313 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 281 - 49 = 0. What is the derivative of -562 - 3*u**4 + 777 - p*u**2 - 369 wrt u?\nAnswer: -12*u**3 - 58*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 20 + 12 + -42 + -18.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/(-9) - (148 + -158).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 + 27 - b**3 + 2*b - 2*b**4 - 54 - 3*b + 29 as d + x*b**3 + a*b + t*b**4 + s*b**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231 divided by -8?\nAnswer: 1231\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0*t**3 + 0*t**6 - 2\/21*t**7 - 25*t**2 + 0*t + 43\/60*t**5 + 0 + 0*t**4. What is the third derivative of p(a) wrt a?\nAnswer: -480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 356836413 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1412*p + 34 + 1417*p - 16 - 18.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 78\/30 - 3 - 17\/(-5). Let s be -13*(1 - 2)\/1. Suppose -4*l - 7 = 4*r + 1, 5*l + 2*r + s = 0. Sort 2, m, l in ascending order.\nAnswer: l, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - -34. Let k = 70 - s. Suppose 3*t - 4*o = k - 6, 3*o + 7 = t. Solve -t*v + h - 9 = 0, -2 + 0 = 2*v + 2*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 0 - -5)\/(4\/(-10)). Solve -2*v - 8*c - 14 = -4*c, -c - f = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7456\/2*(-10)\/(-28). Let f = d - 1338. Calculate the common denominator of f and -58\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5084527 - 1?\nAnswer: 5084526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4*5)\/((-33603)\/33600 - -1). Round z to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -11 - 19. Let l(d) be the third derivative of 0*d**4 - 1\/60*d**6 + 0*d + 0 - d**2 + 0*d**3 - 1\/30*d**j. Find the third derivative of l(m) wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*m - 5*m + 204 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18944010 divided by 1?\nAnswer: 18944010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1798 = -3*h + 1852. Calculate the remainder when 29 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732120325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -41*f**2 + 280*f + 4. Give h(7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665547218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22830 + 22832. Suppose 0*b - 2*b = -4. Solve -6 = -k - b*k, 2*k - d = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1156 + 1817\/2. Let z be 14 - (-145)\/(-45)*87. Let u = g - z. Calculate the common denominator of 31\/10 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 87*g**4\/2 - 4*g**3\/3 + 26*g - 241. Find the first derivative of h(f) wrt f.\nAnswer: 522*f**2 - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 2*i + 22. What is the units digit of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 7*k = -14. Find the second derivative of 35*u**2 - 2 - 68*u**2 + 31*u**k + 9*u - 93*u**3 wrt u.\nAnswer: -558*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*v - 33. What is the remainder when 33 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*s**2 + 4*s**2 - 1 + 1.\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000104 (base 9) to base 2.\nAnswer: 100000011100000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-12\/11)*y*y*y**(-2\/39) assuming y is positive.\nAnswer: y**(797\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -30.11. Sort s, -0.08, 4, 1 in decreasing order.\nAnswer: 4, 1, s, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = -260719 + 1861859. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 4. Let v be m(2). Suppose v = 5*n + 3*z - 20, -5*n + 2*z = -n + 6. Which is smaller: 4\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2) + 3 + 1. Suppose 0 = -b*v - 15 + 3. Let l(k) = -17*k - 15. Is l(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/1300)\/(2 - (-24)\/(-10))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 3*u**2 - 2*u + 5. Let p(j) = -2*j**3 - 5*j**2 - 4*j + 9. Give 3*p(y) - 5*z(y).\nAnswer: -y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 19*s**2 - 8*s - 9. Let m be d(18). Calculate the greatest common factor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13858170, 27716333, 41574494, 55432653?\n\"Answer: -s**2 + 13858166*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 29*g = 1518 + 561. Calculate the least common multiple of 3 and g.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1581*k - 9489. Let v be h(-6). Let n(f) = 4*f - 4. Let w(u) = -2*u + 2. Let p(i) = 4*i + 1. Let o be p(-2). What is o*w(m) + v*n(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (464\/(-24))\/((-12)\/(-342)) + -2 + -1. Are f and -548 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21224 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*r**2 - 47*r**2 + 22*r**2 to the form t + s*r**2 + h*r and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by (1 - 4 - -4 - -2) + 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 + 136378*v - 44352952 = 0. Calculate v.\nAnswer: 326, 136052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 + -126. Let c(v) = -2*v - 8. Let x be c(-5). Suppose -3*p + 2*u + 505 = 0, u = -x*p - 3*u + 326. Calculate the remainder when p is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 7, -3604\/19, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + k**2 + 1)*((1 + 1 - 3)*(0 + 5 - 4) + 0 + 7 - 4).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 - 11*u**2 - 7*u - 11. Let r = -234 + 229. Does 15 divide q(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*w + 13, -2*w + 9 = 2*k - 1. What is the units digit of 5\/(w*(-2)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5, 15*w = 17*w + r - 5. Calculate the lowest common multiple of 57 and w.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3983276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.159204*56.\nAnswer: 8.915424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 357*48\/168 - 20. Solve -g = 3*f - 73 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 25 - (-19 + -1 + 25)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25167814 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159470 + 159469.5. Let k = 0.2 + -0.2. What is the nearest to -0.1 in x, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-124)\/(-930))\/(4\/18*3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udvdvgvdvdvd. What is prob of sequence dgdu?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -14*b**2 - 2. Let y(c) = 28*c**2 - c + 4. Let f(z) = -2*z**2 - 76*z - 79. Let k be f(-37). Calculate k*x(g) - 2*y(g).\nAnswer: 14*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5174*s**4 - 8*s**2 + 8*s - 1689. Let a(x) = 1725*x**4 + 3*x**2 - 3*x + 562. Let v(w) = -8*a(w) - 3*u(w). Differentiate v(b) wrt b.\nAnswer: 6888*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -45349*z - 317416. Determine m(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 641*f**2 + 1. Let t(l) = l - 13. Let y be t(14). Let x be a(y). Differentiate 1 + 8 + x*z**4 - 631*z**4 wrt z.\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iffi. Give prob of sequence if.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 2*v + 3. Let p be n(0). Solve 2 = g - p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 210, 141, 30, -117, -294?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 44*l + 163. What is the remainder when 39 is divided by z(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571294754 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-6) - 72382*(-5)\/2171700. Let v = 10098341\/3474720 - f. What is the common denominator of 23\/4 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v - 4*v)*(0*v + 7405*v**3 + 2*v - 6962*v**3).\nAnswer: -443*v**4 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 - 93148*o\/7 + 1084568738\/7.\nAnswer: 2*(o - 23287)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**49)**(-2\/27) assuming f is positive.\nAnswer: f**(-98\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49922963 and 1796?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 792 and 1944?\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21170138 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-840)\/(-112) - (-1 - 14\/(-4)). Solve i = 3*k + 4*o, 2*k - 3*o + 40 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4044, 8248, 12454, 16662, 20872, 25084, 29298?\nAnswer: 33514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuar when four letters picked without replacement from {k: 2, u: 2, r: 1, a: 1, z: 10}.\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(2 - 2 - y) + 0 + 0 + 7*y)*(y**4 - y**4 + 9*y**4).\nAnswer: 54*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93108339437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -34\/11*o**4 + 18\/11*o - 12\/11*o**5 - 6\/11*o**3 - 4\/11 + 38\/11*o**2 = 0. What is o?\nAnswer: -2, -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h = -4*p - 14, 3*p = -2*h + 72. Suppose -28*c = -h*c - 6. Let y be 10\/(-6)*(0 + c). Solve 2*i + q + 4*q = 14, -3*i + 16 = y*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 0*j**2 - 15*j + 5 - 9*j + j**2 + 21*j. Let g(u) = -2*u**2 + 7*u - 11. Let h(i) = -i**2 - 10*i - 12. Let r be h(-5). Give r*t(z) + 6*g(z).\nAnswer: z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-594 + 282 - -320) + (-1 - ((115 - 0) + -1))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*2\/4)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 - k**2 + 2*k**2. Let m be (-384)\/60*(3 + 22\/(-4)). Let x(t) = 30*t - m*t**2 + 28*t**2 - 30*t. Determine o(x(n)).\nAnswer: -288*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 5*n**2 - 2*n - 5. Let q be f(4). Suppose -3*d + 2*d = 3*a - q, -3*a + 18 = -4*d. Solve 2*i + 10 = a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/10)\/((-16)\/3600) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 485 and 194?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 63*j**2 - 12*j - 10. Let y be x(-4). Let l = y + -39. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*o + 30396 = 68*o. Is o a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -235, 1.\nAnswer: -235, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/5 + 78*q**2\/5 - 72*q.\nAnswer: 3*q*(q - 4)*(q + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -245667188 divided by 398164\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*f + 41*f - 20*f)*(-50*f - 24*f + 39*f).\nAnswer: 105*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -51, -12 in decreasing order.\nAnswer: 6, -12, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)\/s*s)\/s)\/s**(-32) assuming s is positive.\nAnswer: s**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -146*i - 376. Is 27 a factor of k(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 1. What is the nearest to 0 in x, 5, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 11*a + 26. What is z(14)?\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 18*i**2 + 12*i + 114. Calculate u(16).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2650, 8, -17, -5, -4 in increasing order.\nAnswer: -2650, -17, -5, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**3 - 7*u**2 + 9*u - 19. Let o be c(5). Let s = o + -429. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 + 132 = -5*a, c + 8742 = -85*a - 46*a - 9*a + 1042 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012375396 rounded to 5 dps?\nAnswer: -0.01238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 3) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8768451 - 1?\nAnswer: 8768450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + -116. Let u(s) = 128*s + 288. What is the hundreds digit of u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - 2*b**2 - 5*b**2 + 8*b**2 + (-3*b**2 + b**2 + 4*b**2)*(-4*b**3 - 4 + 4) + 2*b**5 - b**5 - 4*b**5 + b**4 + b**3 - b**5 - b**4.\nAnswer: -9*b**5 + b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 4053?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.4837 and 0.08.\nAnswer: 3.078696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -160 - 2*q**3 - 103 - 5*q**2 - 3*q**2 + 88*q - 25 + 480.\nAnswer: -2*(q - 6)*(q + 2)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 12*k + 8. Give w(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 775578 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*q**3 - 34*q**3 - 26*q**3 - 27*q**3 - 25*q**3 + 327*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((14\/7)\/2)\/(-27))\/(2\/6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 297 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -5\/24*r**4 - r**3 + 3*r**2 - 1\/60*r**5 + 0*r + 0. Give z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*v + 69*v - 140. Calculate the remainder when v is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920042563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {y: 7, d: 5}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*t**3 + 28*t**2*z + 3357*z - 1 wrt t.\nAnswer: -135*t**2 + 56*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - 20. Let v = -40 - t. Let n = -11 + 11. Which is the nearest to -9? (a) v (b) n (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 8. Let t be (-2)\/(-1) - 0 - -19*m. Let s = t - 76. Solve s*x - 3 = 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10)*(-6 - -12)*(-87)\/1276*-4?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 27*t. Let u be h(27). Let k(a) be the first derivative of 2\/3*a**3 + u*a + 0*a**2 + 1. Let w(x) = 2*x**2. Give w(k(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9844 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: Express (k + k + 0*k)*(7*k - k - 3*k) + 5*k**2 - k**2 - 2*k**2 in the form z + c*k + m*k**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 4:37 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 249.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32742 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 81216342 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3296902 to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6745167 by -117.\nAnswer: 57651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1420, -1770, -2150, -2560, -3000, -3470?\nAnswer: -3970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*s - 1276 = 0, -b = -2*b + s + 328. Let n = -194 + b. Suppose n = 6*z - z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81756 is divided by 54.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 69305152*j - 300200255858944.\nAnswer: -4*(j - 8663144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 589868 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*g*m + d*m + 1718073*d + 16*g*m - 20*g - 644261*m wrt m.\nAnswer: -d*g + d + 16*g - 644261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/(-96)*3\/(-13). What is the nearest to -0.2 in 0.3, 12, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (((-10)\/(-30) - (-10)\/15) + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -34*j**4 + 84*j**3 + 83*j**2 - 22*j + 1. Let c(l) = -33*l**4 + 84*l**3 + 83*l**2 - 16*l. Let y(k) = 2*c(k) - 3*o(k). Factor y(q).\nAnswer: (q - 3)*(q + 1)*(6*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29655 + 30079. What is the remainder when c is divided by 97?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(700)*2 + sqrt(49)\/(sqrt(7)*2))**2 + ((sqrt(7) - ((sqrt(35)\/sqrt(5))**2 + sqrt(7)) - sqrt(7)) + 0 - (-4 + 2*sqrt(7))**2)) + 2.\nAnswer: 90*sqrt(7) + 34693\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 948 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/7)\/((y\/(y*y*y**(-7))*y)\/y*y)*(y**(2\/7)*y)**(-46) assuming y is positive.\nAnswer: y**(-465\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2361905 divided by 145.\nAnswer: -16289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 - 68*l**3 - 538*l**2 + 272*l + 2184 = 0.\nAnswer: -21, -13, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 231 + 195 - 426 + 8*b + b**2 in the form r + q*b**2 + v*b and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * 99.\nAnswer: -18.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1291*n = -1273*n + 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 16520.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 - -49. Let z(j) = -j + 3. Let d be z(0). Suppose 213 = d*f - 5*p, -2*p = -3*f + 69 + u. What is the highest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 17 = y - 5*p, 3*p = -4*y + 22. Suppose 0 = 3*j - 2*f - 82, 1 = 3*f + y. Suppose 0 = -2*t + j + 4. Solve k + 4*k - t = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 140*f**2 - 3386*f + 118283. What is v(120)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 2. Let u be f(2). Suppose v - l - l = 34, 136 = u*v + 2*l. Calculate the remainder when v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7 - 2*k + k + 1. Suppose -2*y + 4*y + 18 = 0. What is the units digit of q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - q + 272.\nAnswer: -(q - 16)*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 2*p + 4. Determine t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -2) + 6\/(-3). Let w be g + 3 + (4 - -1). Solve 2*x = w*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4171156*b**2*l**3 + 2*b**2 + 3660528*b*l**2 - l**6 + 2*l**2 wrt l.\nAnswer: -25026936*b**2 - 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 276 - 264 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000071746 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3 - 7*p - 1 + 0*p**3 + 1 - 5*p**2 - p**3. Let v be d(-3). Solve v = -4*r + o + 3*o + 36, o = 5*r - 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*o = 17*o + 624. Solve o*x = 40*x + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32209 + 50221. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 - 212 - -105 - 20?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.58 + -0.42. Which is the closest to -1\/5? (a) 0.4 (b) f (c) -1\/4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897914387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 713 divided by 4\nAnswer: 713\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(143) + sqrt(143)*-2) + -2*sqrt(143)*2)\/(5*((sqrt(11) + (1*sqrt(11) + sqrt(11))*3 - sqrt(11)) + sqrt(11) - sqrt(11))))**2*-1*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 15*h**2 - 13*h + 29. What is the remainder when j(9) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 2946*p**2 + 11761*p - 164. What is c(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 + 3*j + 1. Let y be l(-1). Suppose -2*o = -4*a + 8, -3*o = -2*o - a + y. Is o != 35\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 16.7. What is the third biggest value in 0.2, 2\/5, -0.5, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46 and 229?\nAnswer: 10534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*a**2*x**3 + 116*a**2*x + 31*a*x**4 + 36*x**2 wrt x.\nAnswer: 582*a**2 + 744*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s + 5. Let o(d) = -5*d + 4. Let c(n) = 3*a(n) - 4*o(n). Suppose 4*u + 3 = u. Let l = 5 + u. Calculate c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/11*t**2 + 0 - 52\/11*t**4 - 6\/11*t - 10*t**3.\nAnswer: -2*t*(t + 1)**2*(26*t + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.4556 - 36.3. Let t = h + -0.132. What is t rounded to three decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 24*x + 85. Let r be n(-3). Is 5 a factor of r + (-45)\/9 - -132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -919.41321 from -32.6.\nAnswer: 886.81321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(320)*3 - sqrt(320) - sqrt(320) - (sqrt(320) + (0 + sqrt(320)*-1 - sqrt(320))) - (-3 + -3 + (sqrt(320)*-6 + sqrt(320))**2)).\nAnswer: -47964 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 3*s + s - w, 56 = 2*s + 4*w. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 339*j**2. Let b(c) = -7*c. Determine b(y(w)).\nAnswer: -2373*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 7*a**2 + 2. Let h be s(7). Let j(u) = 2*u**2 - 4*u + 2. Let w be j(3). Let m be h\/w + 3\/(-12). Solve m = -3*l + 3, 2*o - 2*l = 5*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 190 - 173. Let c be 1\/(-4)*(-37 + u). Solve 14 = c*w + 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 163480*r**3 - 1672480788*r**2 + 43401651280*r - 281931264784.\nAnswer: -4*(r - 20422)**2*(r - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.13 take away -1.7910686?\nAnswer: 14.9210686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2693, -2623, -2553, -2483, -2413, -2343?\n\"Answer: 70*f - 2763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1378839 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 85*n - 1212. What is the smallest common multiple of 36 and t(-12)?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/106, -0.3, 7, 4, -3?\nAnswer: 3\/106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5.7 times -8499.7\nAnswer: 48448.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1306 * -16.2\nAnswer: 21157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 5*y**3 - y**2\/2 - 3*y + 15. Suppose j = -3*h - 10, -j + 28 = 3*j - 5*h. Is i(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 6. Let m be x(-8). Let h = m - -22. What is the greatest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 277 in 3, -1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 70.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 1, o: 2, k: 2, x: 2, f: 3}. What is prob of picking 2 x and 1 k?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7424*j**2 - 14519 + 7261 + 7258.\nAnswer: 7424*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = 9*f - 5*k + 75, -3*k = 20*f - 515 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 1. Let n(t) = -1. Let a(p) = p - 4. Let h(d) = 4*a(d) - 20*n(d). Determine h(m) - 2*j(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 7*l**3 - 49*l**2\/2 - 8*l + 17. What are the prime factors of k(7)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + k = 1081, g + 0*k - 2*k + 272 = 0. Let u = g + 631. Suppose u = -9*s + 1000. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 12002211113?\nAnswer: 12002211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsz when three letters picked without replacement from bzsef?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v = 32*v - 174. Which is smaller: 60 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/37092 or 0?\nAnswer: 1\/37092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -1078233.007?\nAnswer: 1078233.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-2*t**3 + 2*t**3 + t**3) + 129 - 129 + 75*t**3 in the form y*t**3 + g*t**2 + z*t + n and give y.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23\/5, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0085981727 to five decimal places.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:26 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2663650 and -1.\nAnswer: 2663650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 + 2. Suppose 0*i - 4*i = 0. Put q, -0.1, i in ascending order.\nAnswer: -0.1, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/12 + 1359*q**2. Let u(i) = -561*i**2. Give s(u(r)).\nAnswer: 1122*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -3\/2*t**2 - 1\/12*t**4 - t**3 + 16 + 0*t. Let v(g) be the second derivative of u(g). Calculate v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 372.9 + -369.9. What is the closest to -2\/9 in p, -1\/2, -345?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001222220000 (base 3) to base 11.\nAnswer: -12496a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 11 = t, 133*t + 5*w = 135*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 691635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 11. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 12. Let j be g(3). Solve 3*a - j = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -75.76. Let g = f - -0.54. What is the nearest to -1 in g, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(12\/7)\/z*z))*z\/(z*z**(-17)*z))\/(z\/z**(-28)*z\/(z**(-2\/25)*z)))**22 assuming z is positive.\nAnswer: z**(-39908\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160\/69 - 1051\/483. Put 4, 12, m, -5\/4, 0.8 in ascending order.\nAnswer: -5\/4, m, 0.8, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 15 = -q. Suppose -k + 10 = -q*v, -3*k + 22 + 8 = v. Suppose 5*b + k = 60. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 276369.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*(sqrt(216)\/(2*sqrt(8)) - (3 + -1 + sqrt(27))) + 4))**2.\nAnswer: 288*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 5 (b) 4 (c) -0.3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 6. Let k(r) = -4*r - 1. Is k(u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-3)\/(-257071)) - (4 - 56\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290)\/60*-18*4\/48.\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/(23\/69).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*j - 45 = 7*j, 58 = -5*i - j. What is the remainder when (-38)\/4*(i + 7) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 483\/6)*-2. Let l = i + 248. Suppose 5*m + 3*y = 102, -2*m - 3*y - l = -6*m. Solve -h = -4*c - m, 2*c + 6 = -2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3 - 12. Find the second derivative of -13*l**q - 2*l + l - 15*l**5 + 14*l**5 wrt l.\nAnswer: -280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t**5 + 2590*t**4 - 139164*t**3 + 1676808*t**2 + 956448*t = 0 for t.\nAnswer: -6\/11, 0, 18, 54, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -9*z**3\/4 + 4911*z**2\/4 - 4083*z\/2 + 816 = 0.\nAnswer: 2\/3, 1, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 + 3*r**2 - 6*r**2. Let g(t) = -11*t**2. Determine g(q(w)).\nAnswer: -44*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*t = -5*q + 98, -2*q = -3*t - 59. Differentiate -32*f**3 - 27 + q + 10*f**3 - 52 with respect to f.\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4 + 3*u**2 - 12*u - 2*u**2 + 6 - 8. Let f be w(12). Suppose -5*s - 1 = 3*b + 12, s = -f*b + 3. Calculate the lowest common multiple of 10 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4400159*g*i**2 - 2*g - 2*i**2 + 4081118 wrt g.\nAnswer: 4400159*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142567281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) -0.02 (c) 2 (d) -0.07 (e) -354\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**3*w**2 + 585300*r**2*w**3 + 89*w**3 + 2*w**2 - 383 wrt r.\nAnswer: -3*r**2*w**2 + 1170600*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b + 2968 = 89*b + 84*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1228, -4860, -10904, -19354, -30204, -43448, -59080, -77094?\n\"Answer: m**3 - 1212*m**2 - 3*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x - 2. Let u be h(6). Suppose 4*n = -8, 252*n = -4*p + 257*n + 174. Let k = u - p. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -70*t**4 + 4*t**3 + 2*t + 175. Let l(w) = -211*w**4 + 11*w**3 + 6*w + 524. Let b(s) = -11*d(s) + 4*l(s). What is the second derivative of b(q) wrt q?\nAnswer: -888*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62073 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5 - 22*c**4 - 27*c**3 + 88*c**2 + 92*c = 0?\nAnswer: -2, -1, 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 31.06\nAnswer: 6.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -10. Let v = 75 + z. Let f = 0.03 - -2.97. Which is the second smallest value? (a) v (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 5:44 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 + -7 - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kskckjgkkkp. What is prob of sequence kgkk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 4*f = 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276787 is divided by 69131.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtit when four letters picked without replacement from exirtxrt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Suppose 2*y = -h*y. Suppose -j = -o, -2*j + 0 = -4. Sort -4, o, y in decreasing order.\nAnswer: o, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 368 + 192 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.101 - -0.194. Round y to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 6*d + 5. Let q be a(6). Is 5 a factor of 3 + -5 + q - -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 3:16 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:08 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2865 = -18*k + 13*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/120 + o**5\/12 - o**4\/8 + o**3 + 2*o**2. List the prime factors of b(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*p = 111 + 3089 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 2:01 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -792 divided by 99?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(12)*1.\nAnswer: -2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -43 + 7*a - 98 + 23 + 235. What is u(0)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*q - 617 + 57, -4*m = 2*q - 250. What is the remainder when q is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -c. Let w be -2 + ((-10)\/(-2) - 0). Suppose -s = c + w. Sort -4, s, 1\/3 in descending order.\nAnswer: 1\/3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 4*o**2 - 4*o - 2. Let c be p(5). Let h = 2 - c. Let d be (-30)\/(-18)*(4 + h). Solve -2*u + 1 = -4*n + 5, d*n = u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -334 - -671. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1371)\/(-15)*(-2 - -7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -45. What is the third derivative of h**3 - 7*h**2 - o*h**3 - 6*h**2 + 3*h**3 wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.26306111 to four dps.\nAnswer: -4.2631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-620)\/6*42\/(-35). Let i = g - 18. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.520332ml to litres.\nAnswer: 0.004520332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 156229733 divided by -1\nAnswer: -156229733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*s - s - 76, 2*w + s = 37. Let v = w - 14. Suppose -v*q = -12, -a - 2*a + q = -18. Solve -8 = -5*k + a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 6*i + 45, -x + 971*i = 966*i - 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2077*z + 5 - 5 + 2081*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**5 + 288*c**4 - 3812*c**3 - 34104*c**2 = 0.\nAnswer: -6, 0, 29, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(38) + (2*sqrt(304))\/sqrt(8))\/(-4*(2*sqrt(2) + sqrt(2))))**2 + 1*(4*(sqrt(19) - (sqrt(19) - sqrt(171)\/sqrt(144))))**2.\nAnswer: 259\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - a - 2 + 0 + (4 - 2 + 3)*(-2*a - 10*a - 2*a).\nAnswer: -68*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 8602\nAnswer: 43010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n**3 + 27*n**3 + 290*n**3.\nAnswer: 340*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -2*w**5\/5 + w**4\/4 - 9*w. What is the third derivative of o(s) wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 u when three letters picked without replacement from {u: 9, t: 11}.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 149, 324, 551, 824, 1137, 1484?\n\"Answer: -i**3 + 35*i**2 + 19*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 12. Let g be p(6). What is the greatest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + i - 420 + 649 as n*i + u and give u.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-18) + (-162)\/72 + (-79)\/12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and 313369.\nAnswer: -344705.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 42*q - 1. Let a(l) = -735*l**2 - 6. Give d(a(v)).\nAnswer: -30870*v**2 - 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/5943 - -469465\/95088. Let y = 7201\/402 - 184\/67. Find the common denominator of o and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 3043794.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4980, 0, -1 in decreasing order.\nAnswer: 4980, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + a?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*x - 156, 2064*x + 3*a = 2068*x + 154 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*g - 36. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 3*o + 24, -3*o = 5*i + 30. Let c = 8 + i. Solve -2*y = 4 + c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b + 23*b + 92 = 0. Solve 2*f + v = 1, 2*f + 16*v - b = 14*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 315*v**4 - 2*v**3 + 1013.\nAnswer: 1260*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162*j + 133*j - 155*j**4 + 255*j**4 - 105*j wrt j?\nAnswer: 1200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/2*(-567)\/(-90). Suppose -270 = -5*j - j. Let y = j - 60. Is y >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*j + 60*j = 66*j + 43*j - 5406 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 176?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 475163 and 475163 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11738 - 11737.999990054. What is x rounded to 7 dps?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27649814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4535.01 times 555\nAnswer: -2516930.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/1311 + -1021\/874. Which is greater: -41.5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 + -5 + 5 + 0 + (38 - 34)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 4*z + 44 = -6*b, 5*z = 5*b - 70. Solve b*x - 14*x = -4*p + 10, 0 = -p + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1199, 5002, 11341, 20216?\nAnswer: 31627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 - 1004330256*t - 63042453944814096 = 0 for t.\nAnswer: -125541282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -735 - -1052. List the prime factors of j.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22724422 (base 8) to base 15\nAnswer: 67e2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*c + 5. Suppose -2*n = 2*n - c. Solve -3*w = 5*r - 14, -n*r - 3*w = r - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Suppose h*i = -2*l + 880, 4*l + 5*i - 2*i = 1735. Let b = -271 + l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8171 + 30?\nAnswer: -8141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5*u + 10, -u - 2*c - 10 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgev when four letters picked without replacement from vvvoegvvvncvov.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88\/93 + -12\/31. Let n = -0.7 + 0.7. Which is the nearest to n? (a) -2\/7 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48098.54 millennia in decades?\nAnswer: 4809854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -a + 6*a. Let j be (1\/2)\/((-8)\/(-48)). Let v(q) = q**2 - 7*q - 1 + q**j + 3*q - 5*q**2. Determine v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 0.7 (c) 0.092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -201265\/13 + 15482. Which is the nearest to 0? (a) 44\/3 (b) v (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1061\/66 - -186\/11. Let b = -1.8791 + -0.1209. What is the smallest value in a, b, 3, 2\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -2\/37, -2, -4\/29, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 - 2*m**5 - m**5)*(5 - 5 - 1) + 6*m**5 - 6*m**5 + 11*m**5 - m**3 - m**5 + m**3.\nAnswer: 15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 10*c**2 + 9*c + 1. Let u be m(8). Let h = u + 91. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -21576945.\nAnswer: -1\/7192315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 756120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 4*l + 2. Let i be f(2). Solve -i*m = 0, -4*g + m - 3 = -7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 269.31 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*c - 733 + 747, -4*g + 2*c = -4. Solve z + 6 = -5*u, g*z - 5*u - 36 = -33 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2233\/2 (b) -2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 21*q**2 - 2*q - 26. Let z be x(-21). Suppose -12*o = -z*o + 352. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 3. Let j be 2\/(-6) - (-92)\/6. Let i be ((-18)\/j)\/(1\/5). Let t = i - -4. What is s(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -3*d**4\/4 + 29*d**3 - 153*d**2\/2 - 243*d + 2717. Let f(a) = 0. Calculate a.\nAnswer: -1, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0*k**4 + 0*k + 28*k**2 + 0 + 0*k**5 - 3\/40*k**6 - 5\/6*k**3. Find the first derivative of c(f) wrt f.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -24*d**3 + 33*d**2 + 33*d - 33. Let o(x) be the third derivative of x**6\/40 - x**5\/15 - x**4\/6 + 2*x**3\/3 + 86*x**2. What is -33*o(c) - 4*r(c)?\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -7.63?\nAnswer: -38.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(2\/13)\/q)\/q))\/(q**(-9)*q) assuming q is positive.\nAnswer: q**(141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 31*v**4 - 33*v**2 + 11*v + 604. Let y(m) = 6*m**4 - 6*m**2 + 2*m + 121. Let w(h) = 2*l(h) - 11*y(h). Find the first derivative of w(x) wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -20.2. Let s = 0.4 - t. What is the smallest value in s, 4\/7, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 67 = h, -2*h - 4*p + 92 = -0*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*(-3)\/9)\/(-2). Let v = 3 - r. Suppose v*i + i - 12 = 0. Solve i*l - 10 = 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 339*l**6\/10 + 405*l**4\/4 - 50*l - 8. Find the third derivative of f(r) wrt r.\nAnswer: 24408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.6 + -34.6. Let f = -4 + 4.4. Sort o, f, 2, -0.1 in ascending order.\nAnswer: -0.1, f, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**2 + 4*c - 10. Let g(f) = -17*f**2 + 8*f - 21. Let z(h) = 6*g(h) - 13*p(h). Let s be z(2). Solve -5 = b - s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002196146 rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65.24 + -65. Let g = 21.76 + a. What is the smallest value in -0.5, g, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 772837*-0.059\nAnswer: -45597.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s. Let i = -447 - -650. Let z = i + -204. Sort z, 1, s in decreasing order.\nAnswer: 1, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 4*g**2 + 2*g - 4. Let s be h(4). Solve 8 = p + 5*v, -s*p + v = 2*v + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mff when three letters picked without replacement from {q: 5, f: 5, m: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/1680 + -68459\/1680. Let m = -33\/4 - h. Calculate the common denominator of 49\/11 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(105) - sqrt(105)*-1))\/((sqrt(50)\/sqrt(2))\/sqrt(5)))\/(sqrt(12)*3 + -6*sqrt(3)*-5).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -9.8. Which is the nearest to -0.1? (a) -2 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2862*v**2 - 28*v**3 + 2*v - 2854*v**2 + 5716*v**2 - 2*v.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 0.4.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/60 - 7*m**4\/24 + 2*m**3\/3 - 16*m**2. Calculate q(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*h - 169*h + 58*h)*(-5 - 3 + 1) in the form i*h + k and give i.\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l**3 - 7*l + 7. Let x(m) = m + m + 6*m**3 - 2 - 3*m**3. What is -2*d(g) - 7*x(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*y = -255, -6*a + a = 5*y - 645. What is the closest to 15 in -1, a, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in -4, -5\/2, -0.1, 0.031?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411\/7 or 59?\nAnswer: 411\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1355*m**3 - 1358*m**3 - 13*m**2 + 2 - 17*m + 18*m to h*m + x*m**3 + g + z*m**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 17*s + 7266. What are the prime factors of s?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5480)\/(-12))\/((-10)\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -16*a + 13*a. Let s = 46 - a. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -3 (b) 8 (c) 1\/3 (d) 1\/4 (e) 32\/27 (f) 1\/30\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 7:26 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/80 and -61\/15744?\nAnswer: 78720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, 1 k, and 1 b when four letters picked without replacement from ffgkbbfbbkbnbfgfq.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**6\/120 + 2*k**5\/15 + 5*k**4\/24 + k**3 - 9*k**2. Let u = -15 + 8. What is the lowest common multiple of c(u) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(2 - 2)\/1. Suppose -13 = -3*d - a, 2*a + 4 = -k. Suppose -2*t + 63 = -u - 74, 4*u + 335 = d*t. List the prime factors of t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*v = -548 - 577. What is the highest common divisor of v and 3771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -14. Let s = 83 + w. Solve -3*y - o - 13 = -y, -5*o = s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1522204 (b) 4 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56365.73 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46785899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17496 divided by -24.\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4104 - 2634. Does 100 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -72096?\nAnswer: -11\/36048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -t - 66. Let g(j) = -22*j + 1. What is the hundreds digit of g(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 355*d**2 + 263*d. Does 126 divide t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721035.7 less than 4424?\nAnswer: 1725459.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nahbbhaabbaaaae. What is prob of sequence hbhb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139401.\nAnswer: 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-98)*(-322)\/276*-204?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(360) + sqrt(360) - sqrt(360))\/sqrt(6) - sqrt(60))\/(sqrt(108)\/(sqrt(9)*2)) - (sqrt(60)\/(sqrt(192)*3) + 5).\nAnswer: -73*sqrt(5)\/12 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -27956233*l. Let r(q) = q. Calculate r(s(x)).\nAnswer: -27956233*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 144051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/7)*b**(1\/4))**(-3\/7)*(b**(2\/23)\/b**(-1))\/(b**0*b**0) assuming b is positive.\nAnswer: b**(5521\/4508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 - 102 - (142\/11 - 4).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(-3) + (-1)\/3. Suppose -4*a = -5*a + g. Differentiate 0 - a*z**2 - 3*z**2 + 13*z**2 + 3 wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {u: 1, i: 1, g: 3, c: 1, x: 3, e: 2}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1946379036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 - -69. Let a(c) = -78*c**2 - 81*c**2 + y*c**2. Let g(p) = 25*p**2. What is a(g(l))?\nAnswer: 9375*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {k: 3, h: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2055 = -7*c - 2111 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and 3.9.\nAnswer: 152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -7564777.\nAnswer: -2\/7564777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from efueedefufeefdufdeee.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 4\/9, 2, 0.099, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 2*q - 240 + 216, -4*x + 3*q = -20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/39442 and -67\/20.\nAnswer: 394420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -3. What is the second derivative of -a**5 + 4*a + 4*a**x - 4*a**5 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.041 + 0.141. What is the closest to -2\/3 in -2\/5, a, -9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -147*h - 1465. Let l be v(-10). Suppose j + 2*q = 4, -8 = -3*j - 2*q + 8. Suppose 4 = -5*o - j. Put 1, o, 4, l in decreasing order.\nAnswer: l, 4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -20*q + 33. Let k(a) = 0*a + 8*a - 12 - 6*a + 5*a + 1. Give -8*k(z) - 3*x(z).\nAnswer: 4*z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280643 to the power of 1\/2, to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 3*x**2 - 6*x + 5. Let w = 24 + -19. Let g be r(w). Suppose -19 - g = -4*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t + 37. Let a(y) = -y. Let q be ((-2145)\/78)\/(-55) + 3\/(-2). Calculate q*a(i) + f(i).\nAnswer: -2*i + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*y**4 - 151*y**3 + 2*y**2 - 2*y - 142?\nAnswer: -600*y - 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 501*g - 26051. Calculate h(52).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.410913 rounded to one decimal place?\nAnswer: 347.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3 - 3)*(0 - 6 + 4 - 2 + 0 + 3 + 2 + 4 - 4 + (-1 - 1 + 3)*(-4 + 1 + 4) + 3 - 2 + 1 + 5 - 9 - 1).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2596 + 2632. Solve 156 = -10*j + u*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.0389 rounded to 0 dps?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7526 + 72417 = -1583*p + 27*p + 6811 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 n when three letters picked without replacement from {m: 1, n: 2, r: 3, u: 1, s: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*(4 - 4))\/(-2). Suppose -g - 4*g + 40 = a. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Suppose 0*t + t + 4 = 0. Let o be ((-6)\/t)\/(-3 + -3). What is the nearest to o in k, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7638391 rounded to 3 dps?\nAnswer: 2.764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25824*d - 25943*d + 6783 = 0 for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5*p**3 - 4243*a**5 + 2*a*p**3 - 425*a*p + 11*p**2 wrt a.\nAnswer: 40*a**3*p**3 - 84860*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75297924 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4666*y. Let i(a) = 39*a**2 + 4*a**2 - 44*a**2. Calculate i(f(t)).\nAnswer: -21771556*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**6\/q*q)\/(q\/(q\/q**15)))**(-3\/10))**(-36) assuming q is positive.\nAnswer: q**(-486\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 65, 86, 103, 116, 125, 130?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 27537*o**2\/2 - 3411705*o\/4 - 13216633.\nAnswer: -(o + 31)**2*(o + 55012)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 19217?\nAnswer: 96085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210.5327um to nanometers.\nAnswer: 210532.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**2 - 1\/6*v**3 + 0 + 1\/12*v**4 + 3*v. Factor d(h).\nAnswer: (h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**2 + 5*d + 1. Let t(b) = 15*b**2 - 9*b - 4. What is 11*o(k) + 6*t(k)?\nAnswer: 2*k**2 + k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let j = -1 - -0.1. Let f = j - 0.1. Which is the closest to f? (a) -3\/5 (b) -5\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 4*z + 4. Let y be x(-4). Let r(j) = 3*j - 1. Let p(v) = -v - 1. Let s(q) = 4*p(q) + r(q). Let t be s(-4). Put t, y, 5 in ascending order.\nAnswer: t, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3654 and 3056.\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -8*c**2 - 1\/30*c**5 + 0 + 0*c**3 - 1\/168*c**8 + 0*c**7 + 0*c**6 + 0*c + 0*c**4. Find the third derivative of a(b) wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-336)\/(-504) - (-242)\/6 is divided by 2\/7 - 192\/(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234a1a (base 11) to base 10\nAnswer: -372580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1579, 7184, 16813, 30466, 48143?\n\"Answer: 2012*x**2 - 431*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlfhgfjr. Give prob of sequence hlf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(550) - (sqrt(550) - sqrt(550)*2)) + sqrt(550))\/(sqrt(160)*-2 - sqrt(10)))\/((sqrt(100)\/(sqrt(6)\/sqrt(3)) + sqrt(50))\/sqrt(10)*-4).\nAnswer: -sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -608\/454251 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-105))\/((-198)\/(-231))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 318\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n + 281. What is x(9)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 5*s - 5. Let c(w) = -w + 15. Let k be c(11). Let u be (-17 - -21)\/(k\/(-6)). Give n(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.186 + -10.186. Which is the third smallest value? (a) 0.94 (b) 14 (c) 3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35859925 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4738204 by -4.\nAnswer: -1184551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.07 + 0.07. Let f = -7.7 - -8. What is the third biggest value in f, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0413 take away 1524?\nAnswer: -1524.0413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29, 5, -5, -3 in ascending order.\nAnswer: -29, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -4*a + 69 - 58, -3 = -3*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 505705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 85999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*o - d**3*v**2 - 86*d**2*o + 4*d*o*v**2 - 2*d*o*v + 3*o*v**2 + 4*o*v - 4*v**2 wrt v?\nAnswer: -2*d**3 + 8*d*o + 6*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 9*o + 1. Let p(u) = -u**2 - 10*u + 1. Let r(c) = -5*p(c) + 6*y(c). Let a = -6 + 1. Determine r(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -185?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154603 divided by -1957.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (sqrt(567) + 1))*4)**2 + (-4*(sqrt(567) + -5 + sqrt(567)))**2 + 2 + -4.\nAnswer: -2880*sqrt(7) + 36702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1785, -10455, -3 in decreasing order.\nAnswer: 1785, -3, -10455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*w = -43, 3*n + 3*w - 13 = 23. Calculate the greatest common factor of 35 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 468, 13, 4, 39, 2, 3 in descending order.\nAnswer: 468, 39, 13, 4, 3, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1810*m + 1945*m - 4019*m + m**4 + (-1 + 2 + 1)*(-2*m - 2*m**4 + 2*m) + m**3 - m**3 + m**4.\nAnswer: -2*m**4 - 264*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-136)\/(-3) - 3\/9. Suppose 0*s = -5*s + a. Let j(v) = -v**2 - 15*v + 80. What is the least common multiple of j(-19) and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338880670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41943 and 22826463.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3909596 divided by -2542.\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68675 and 1005.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4700.151cm to meters.\nAnswer: 47.00151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57192.8t in grams?\nAnswer: 57192800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/72*1 - (-405)\/(-648).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13710, -13887, -14074, -14271, -14478, -14695?\nAnswer: -14922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1782*y - 2722. Let q(i) = -1782*i + 2743. Let j(c) = -5*o(c) - 6*q(c). Find the first derivative of j(f) wrt f.\nAnswer: 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - 0.4244.\nAnswer: -0.4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20999754?\nAnswer: 2, 3, 269, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 50, -75, -254, -493, -798, -1175, -1630?\n\"Answer: -v**3 - 21*v**2 - 55*v + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76054 - -76059. Let z = 2.97 - -0.03. What is the closest to 0 in z, -2\/3, l, 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**5\/3 - 38216*f**4\/3 + 29166528*f**3 + 18237065288*f**2\/3 - 87499588*f\/3 - 6079009024 = 0.\nAnswer: -192, -1, 1, 4873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Suppose -3*d + 72336432 = 4*g, 2*d + 0*d = o*g - 36168230. Suppose g + 14915889 = 5*t. Round t to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o + 15. Suppose -13*s + 18*s - 25 = 0. Let n be (2\/6)\/(4\/24). Solve 4*d + n*a - 7*a = -33, 35 = -o*d + s*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1375, -2765, -4169, -5593, -7043, -8525, -10045?\nAnswer: -11609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81.206 - 81. Let g = k + -0.106. Which is the third smallest value? (a) g (b) 0 (c) -2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 150\/24 + (-1)\/4. Let k(w) = -4*w - 4*w + r*w. Let q(b) = b**2. Calculate q(k(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8241*r - 2287*r + 52*r - 2555*r + 2292*r.\nAnswer: -10739*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 1050\/1273?\nAnswer: 1050\/1273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 66216358 to the power of 1\/2, to the nearest integer?\nAnswer: 8137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*s**2 - 1005599*s + 1005599*s.\nAnswer: 70*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**41)**9 assuming x is positive.\nAnswer: x**(-1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 410 = 406*q + 683 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(63) + sqrt(189)\/sqrt(3)))\/(sqrt(36) + sqrt(144)) + 5 + sqrt(56)\/(sqrt(16)\/sqrt(2)) + sqrt(7) + 0 + -1.\nAnswer: 4 + 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/630 and -1\/15.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.395 + -83.895. Let d = q - -108. Let m = 33 - d. What is m rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012295848 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 156?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j - 10. Let d be o(3). Suppose -33 = -5*a - 2*l, -2*a + 2*l - d*l + 22 = 0. Let m be 2 - -9*(-9)\/81. Solve -m = a*g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d**3\/5 + 1343*d**2\/5 + 47848*d\/5 - 56448\/5.\nAnswer: (d + 49)*(d + 144)*(7*d - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -11\/14 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + 14*r**2 - 9*r**2 + (-13 + 8*r**2 + 13)*(-1 - 3 + 2) - 6*r**2 + 0*r**2 - r**2 + (2*r - 4*r + 3*r)*(5*r - 4*r - 3*r).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416295 and 495?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*z + 738*z - 3782 + 9793 + 24739 = 0 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*y = -37, 8*y + 475 - 432 = -r + 13*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 119987373369 from 1.\nAnswer: -119987373368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 686 and 784?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and -0.02637458871.\nAnswer: -0.82637458871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 58\/10628689 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, 0.9, 386, 1\/4 in increasing order.\nAnswer: 1\/4, 0.31, 0.9, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times 6046?\nAnswer: -665.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1462, 2924, 4396, 5884, 7394, 8932, 10504, 12116?\n\"Answer: o**3 - o**2 + 1458*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -31*r**2 - 12*r - 138. Let w be a(-25). Round w to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + j**2 + 0*j**2)*(j**3 - 7629*j**2 + 205*j + 7629*j**2).\nAnswer: -2*j**5 - 410*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/11)\/(309\/(-2266))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19613 + -18737. What is the lowest common multiple of w and 21?\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9204, 9302, 9470, 9708, 10016, 10394?\n\"Answer: 35*v**2 - 7*v + 9176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/3 + 1449260*d**2\/3 - 175030028719*d + 350058125094 = 0.\nAnswer: 2, 724629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5474986?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10644 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 21 = 3*r + 3*f, 4*f = 4*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y**1*y)\/y)**(6\/5)\/(y**(2\/17)\/y**(2\/15)) assuming y is positive.\nAnswer: y**(922\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + 130. Let c = -17 - -22. Suppose -c*m + 54 = -21. What is the greatest common divisor of y and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 + 24692*a**2 - 115159*a - 41130 = 0. What is a?\nAnswer: -1\/3, 5, 8226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 183. Let o = 5380 + -5291. Let g = o - k. What is the closest to -7 in g, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136 - -138) + -55 + 143?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 3*f)*(20 - 9 + 5)*(-3 + 7 - 1)*(1 - f**4 - 1 + f**2 + 2*f**4 - f**2 + (2 + 0 - 4)*(-f + 2*f**4 + f)).\nAnswer: 432*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -306319?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45443632.\nAnswer: 2, 13, 218479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - d**4 + 12*d - 15 + 11*d + 8*d**4 - 24*d - 8*d**4 in the form f + q*d**4 + z*d**2 + c*d**3 + k*d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3633177239 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(468) + sqrt(468) + 0 + 3 - (sqrt(468) + (sqrt(468) - (1*sqrt(468) + 4)))) - (sqrt(832) + -1 + 0 + sqrt(832)*-1 + -4).\nAnswer: 9 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 415016*c**3*k**2 + 9*k**2 + 251*k + 1 wrt c?\nAnswer: 1245048*c**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*g = 10, 0*t - t + 9 = g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/7))**(6\/11)\/(k**2\/(k\/(k*k\/(k\/k**2)*k*k))))**(-24))**(-30) assuming k is positive.\nAnswer: k**(-324000\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -1. Let f(t) = 2*t + 19. Let q be f(-8). Suppose -4*i - 14 = 2*g, -5*g - 6 = q*i + 22. Sort 2\/3, a, i in ascending order.\nAnswer: i, a, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3252*b + 3250*b + 1 - b**2 + 2*b**3 + 0*b**3 - b**4 to a*b**2 + z*b**4 + k*b**3 + v + t*b and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.4. Suppose 3*f + 2*c + 22 = 0, -c + 15 = -0*f - 5*f. Put j, f, 5 in ascending order.\nAnswer: f, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*u + 155*u - 6317 = 63*u + 2322 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z - z**2 - 79 + 0*z**5 + 23\/2*z**3 + 0*z**4 - 61\/60*z**6. What is the derivative of w(v) wrt v?\nAnswer: -366*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**3 - 5*n**2 + 3*n - 19. Determine a(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*t = -484*t + 10, 2*t - 2 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108532713 or -108532712?\nAnswer: -108532713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*k + 33128 + 19759 = 444*k + 612*k for k.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r = -3*y - 23*r + 9, -3*r - 3 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 39\/(-15) - -2 - 36\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -0*z - 24. Let t(g) = -g**3 - 5*g**2 - 4*g + 1. Determine t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 2 (b) -1\/171 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -444\/7 + 9\/7*q**3 - 681\/7*q**2 + 1116\/7*q.\nAnswer: 3*(q - 74)*(q - 1)*(3*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**4\/12 - 4*k**3\/3 + k**2\/2 + 43*k. Let o be f(-8). Let j = 6 + -2. Sort o, -1, j in increasing order.\nAnswer: -1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x + 3*x + x**2 + 4*x. Let y(d) = -2*d**2. Calculate v(y(c)).\nAnswer: 4*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56408 and 9350?\nAnswer: 23973400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572*s = 902*s + 37899 + 13871 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**8\/560 - z**6\/200 - 2*z**2 + 1. Let q(o) be the second derivative of d(o). Factor q(r).\nAnswer: 3*r**3*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002202222 (base 3) in base 16?\nAnswer: -ee91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.52085 * 0.03\nAnswer: -0.0456255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a hour in seconds?\nAnswer: 60300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 7*q**2 + 34*q - 39. Give d(-6).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + (-212075)\/(-75). Suppose 4*z = -0*z + w. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2548*r**2 - 1275*r**2 - 1274*r**2 - 1 + 965*r**3.\nAnswer: 965*r**3 - r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*o - 177, 2*o = 4*d - 2*o - 164. Let s = d - 33. Factor 5*g**s - 3*g**2 + 10*g**3 - 2*g**2 - 27*g + 17*g.\nAnswer: 5*g*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 - 152. Suppose 88 = j*x - 117. What is the remainder when x is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (3370\/(-25) + 2\/(-10))*1. Is f\/10*(-200)\/15 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239 + 1235 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1711 - 29095\/17. Suppose 0 = 3*d - 2*d - 1. Which is bigger: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r - 14. Suppose 6*i - 16*i + 50 = 0. Let t(b) = -5*b + 16. Let w(y) = i*t(y) + 6*f(y). Suppose 0 = c - 2*u, -c - c - 5*u = 27. Give w(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(17) - sqrt(51)\/sqrt(3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1914*t**3*z + 4*t**2*z + t*z - 4*z - 10 wrt t.\nAnswer: -11484*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401*c + 117940 = 10691 + 773 for c.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0388 + 0.4388. What is the nearest to -2\/5 in 4, -1\/5, 0.3, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and -66596730.5.\nAnswer: -66596742.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 + 10*a**2 + 5 - 3*a**2 + a**3 - 17*a + 4*a**2. Let t be j(-17). Let p be (-2)\/(-8) + (-21)\/4. Sort p, t, 1 in descending order.\nAnswer: t, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/3 - 18\/(180\/(-70)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 305.43?\nAnswer: 313.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 - 126. Let q be 10\/14*z\/(-90). Let s = 821\/5 - 165. Put s, -0.5, q in increasing order.\nAnswer: s, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let w(i) = -i**2 - i + 1. Let p(u) = -3*u**2 - 4*u + 4. Let j(q) = 2*p(q) - 7*w(q). Determine j(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/19 (b) 1 (c) 1\/9 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*a + 18, -2 = -2*a - l + 5. Suppose a = -m + 22. Let k be 36*(99\/(-6))\/(-3). What is the greatest common divisor of k and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8748379.\nAnswer: 19, 283, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*f**4 - 3*f - 21 - 30 + 48 wrt f?\nAnswer: -192*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/12)\/(-16))\/((176\/1824)\/(-11))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*d + 10, -4*n + n = -5*d - 14. Solve -n*f - l + 12 = 0, 18 + 0 = 3*f - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = -n, -5 = p - 2*n - 0. Let h(o) = -o + 9. Let f be h(9). Let d be (0 - f)\/(-11 + 10). Sort -1, d, p.\nAnswer: p, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139\/4 - 691\/20. Let m = 265 + -271. Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13057 and 138278378.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13667887 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 1. Let i be j(-3). Let x = 22 - i. Suppose -3*z + x + 49 = 0. What is the remainder when 152 is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 8, x: 4, d: 4}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2 + 3*r**2 - 1123 + r**2 + 1123. Suppose 5*t = -25, 5*t - 4*t - 4 = -j. Let w(s) = -6*s**2 + j - 9. Calculate w(q(l)).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/7 - 12*t**3 - 362*t**2\/7 - 276*t\/7.\nAnswer: 2*t*(t - 46)*(t + 1)*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**9\/7560 + l**8\/1120 + l**7\/630 - l**4\/12 + l**2. Let t(v) be the second derivative of r(v). Let t(f) = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1512000 by -54.\nAnswer: 28000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 6, -0.4, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/127 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1743 is divided by 505?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 + 15*a - 3. Suppose 0 = 6*i + 3*i - 54. Is d(i) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 114.3. Sort z, -2, -3\/4, -3 in decreasing order.\nAnswer: z, -3\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -33\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 (base 16) in base 8?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4)**43\/(c*c*(c\/(c\/(c\/c**0)*c))\/c*c*c\/(c*c\/c**13)) assuming c is positive.\nAnswer: c**158","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**4 + 26*f**3 + 189?\nAnswer: -4*f**3 + 78*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-1*-1)\/(sqrt(10) - sqrt(80)\/(-2*sqrt(8))).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.89 + -2.488. Round g to two decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-12))\/(-1 - 68\/(-72)). Let p(z) = 6*z**3 - z**2 + 3*z - 4. Let t(c) = -5*c**3 - 2*c + 4. Let w(x) = f*p(x) + 7*t(x). Let u = 5 - 0. Calculate w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/9 + 2*o**3\/3 - 4*o**2\/9 = 0. Calculate o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-12) - 19\/(-4). Suppose 5*s - 52 = -3*y + 40, 176 = r*y - 3*s. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6293?\nAnswer: 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449538362503 - 0.\nAnswer: -449538362503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -357335129\/434274 - -1\/72379. Let q = b + 99037\/120. What is the common denominator of q and -121\/18?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1, 6, 353919?\nAnswer: 353919","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -68. Let k = 3 - -11. Suppose -k = -2*v + 6. What is the smallest common multiple of z and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -628 - -626. What is the biggest value in 3\/7, t, 1, -0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 + -67. Suppose -a + f = 2*a. Suppose a = 5*n - 109. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 103*l - 871. Determine w(8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnh when three letters picked without replacement from hvhvhhhhhnhhhnnn.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 8 = q, 9*y - 14*y + 6 = -4*q + 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 773716320632 and 5.\nAnswer: 773716320637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*d + 4488 + 10014, 3*d - 6 = 0. Does 28 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from myyywywwmymmmsmss?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -n - 2*n. Suppose 50 = 2*a - n. Let y = a - 1. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/6 + 34064*x - 204385\/6 = 0.\nAnswer: -204385, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55099 is divided by 290?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 + 588*t\/11 - 162.\nAnswer: 2*(t - 3)*(t + 297)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 654909679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 113, 119, 129, 143?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 367 = i - 194 - 176, 0 = -i - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 0*z**5 - 5*z**5 + 2*z**2)*(-1 - 2 + 0).\nAnswer: 15*z**5 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -16, -23, -64, -151, -296?\n\"Answer: -2*s**3 + s**2 + 26*s - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 2\/19, 23, -3\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1168 + -1166. Solve -g = 3*u + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*z + 1946 - 356 = -229 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a second in milliseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 6, -4*l + 4*y - 81 = -y. Let f = -14 - l. Let a be f\/4 + (-1)\/2. Solve 3*i - 4 = a*i, -3*x - 2*i = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4656)\/1248)\/97*-2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {x: 1, d: 1, t: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 6*s + 2. What is m(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.87 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -537 * -82.\nAnswer: 44034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 30753.4.\nAnswer: 1537.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70997536 plus -0.032?\nAnswer: 70997535.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5721 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*b + 88*b - 42*b + 13725 = 0 for b.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:25 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-j + 0*j + 2*j) + 5 - 5 + 9*j + 4*j - 3*j + 0*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 65*j + 58. Let a(h) = -36*h - 147. Let l be a(-5). What is the units digit of n(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-1 + 12) - -1. Let c(i) = -262*i + 261*i + 36 - 45. Let g be c(m). Solve -2*k + g = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02156 and -476.\nAnswer: 10.26256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 2:23 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/sqrt(3))\/((sqrt(12) + sqrt(24)\/sqrt(2))\/sqrt(2)) - (-5 + (sqrt(2)*-2)**2 + (sqrt(2) - ((sqrt(2) - sqrt(288)*2) + sqrt(2)))**2).\nAnswer: -1061 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25171.209ns?\nAnswer: 0.00000041952015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 10*t = 7*t + 84 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 70 - 18 = 36. Sort n, 4, -2, -1, 480 in ascending order.\nAnswer: n, -2, -1, 4, 480","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3\/2 + 24*k**2 - 288*k = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13607 + -13605. Factor 0*w + 0*w**3 + 1\/6*w**5 + 0*w**h + 0 - 1\/3*w**4.\nAnswer: w**4*(w - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**5\/20 - 2*y**4\/3 + 2*y**3 + 3*y**2\/2 - 19*y. Let k be q(6). Solve 0 = -5*d - 5*z - 15, -k*d - 2*d - 3*z = 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226 - -229 - (-1 + 0 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73.5 + 4.9. Let a = 68 + l. Let k = 14 - 14. What is the third smallest value in -3, -5, a, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*n + 400, -3*n - 50 = -3*w + 1210. Calculate the greatest common divisor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 16*l**2 + 8*l + 5. Let o be g(16). Let w be ((-38)\/o)\/(1\/7). Let y be (-1 - w)\/(9\/45). Solve -4*c = 2*x - 2, -y*x + 4*c - 13 = 5*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2. Suppose -3*v + 48 = -42. Let l = 32 - v. Let o(z) = 32*z**l - 58*z**2 + 14*z**2. What is o(i(r))?\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (24 + 22 + -33) - 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, 29\/2?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -6, 11.9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/18)\/(6\/(-6)). Let h = 1.4 + -1.5. Let r = -6 - -9. Sort h, r, z in decreasing order.\nAnswer: r, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 416 = 28*l. Which is smaller: -0.2 or l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/80 - 8\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7699*x**2 - 3660*x**2 - 3546*x**2.\nAnswer: 493*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Suppose c - m*p - 62 = -2*c, -2*p - 82 = -4*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45935 + -13?\nAnswer: -45948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5\/18, -1\/5, 8, -2, -3 in ascending order.\nAnswer: -3, -2, -1\/5, 0.2, 5\/18, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -4, -20, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 661016 divided by 2.\nAnswer: 330508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14\/350*25*(-80)\/(-4)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9481, -4, -3, 0.559?\nAnswer: 0.559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -927 - -931. Which is the nearest to 0? (a) 3 (b) 1\/46 (c) l (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*q + 85 = p, -201 = -5*p - q. Let c = p + -34. Put 4, c, 2 in increasing order.\nAnswer: 2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*w - 16, 4*c - 2*w - 2 - 14 = 0. Let f be (-1301)\/(-3) + c\/(-6). Suppose -211 = -4*z + f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 538\/4 + (-2)\/(-4). Suppose l + 2 = 4*p + 32, -5*p = -5*l + m. Suppose 0 = 3*h - 0*h + 2*v - l, -h + v + 7 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqccvcqvqccvcqcqvccq. What is prob of picking 2 q?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4584859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24901?\nAnswer: 37, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, q: 2, k: 1, n: 7, v: 1, w: 5}. What is prob of picking 1 k, 2 l, and 1 q?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614.03 less than 628?\nAnswer: -986.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2 + 17. Suppose -2*h = -2*s + 22, 2*s - h - 14 = -3*h. Let b = g - s. Sort -3, b, 3 in increasing order.\nAnswer: b, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/11180 and -41\/6020.\nAnswer: 78260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14040518 to the power of 1\/2, to the nearest integer?\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -207 (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvpglrvlrvdl. 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: Suppose -u + 3*b = -3311, -4*u - 4*b + 3551 + 9629 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = 0. Suppose p = -3*a - 3 + 9. Suppose -q + a + 0 = 0. Solve -z - q + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -21.7, -41660 in increasing order.\nAnswer: -41660, -21.7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 224423 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: Is 728407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnyfynfnnnny. What is prob of picking 3 y?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/2*(-180)\/375*(-340)\/102.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*l = 32. Suppose -d = -2*c - 2*c + 13, 0 = l*d - c - 8. Factor 87*o + 0 - 75*o + d*o**2 + 7 + 5.\nAnswer: 3*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2925 and 7215.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 530*u**2 + 11131*u - 16. What is a(-21)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 + -1103343201?\nAnswer: -1103343322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*b - 360 + 390 = 3*h, -11*b = 7*h - 66 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98336613.\nAnswer: 3, 1993, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, 3947, -5\/261, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 + 211. Calculate the common denominator of 2\/(40\/d) + 2 and 111\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/((-9)\/(54\/(-48)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1548 + 1550. Let m(u) be the first derivative of -1\/3*u**5 + 0*u - 5\/3*u**3 + 3 - 5\/4*u**4 - 5\/6*u**h. Let m(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 2. What is k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from ntntuttnnunnunutnu?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*a = -0*a + 54, 27 = g - a. Suppose j - 9 + 8 = 0. Calculate the remainder when j\/((-1)\/1)*-78 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -2)*(-14)\/(-2). Let k(z) = -z**2 + 6*z + 9. Let c be k(i). Suppose 2*w = w + c*u + 17, -5 = u. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.15 (b) -1 (c) 0 (d) 61 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**2 + u + 1. Let a be t(1). Suppose 5*j - 4 = 2*p + 3*j, -j = 4. Which is bigger: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54*w**2 + 358*w - 358*w)*((-2*w + w + 3*w)*(-w + 4*w + 0*w) - 109*w - 28*w**2 + 109*w) to d*w**3 + v*w**2 + z*w + g + m*w**4 and give m.\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5928 and 29596.\nAnswer: 43861272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8069796 and 12852.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - 4*c)*((-2*c + c + 2*c)*(-3 - 1 + 6) + 0 - c + 0 + 3 - 2*c + 2*c + 2*c).\nAnswer: -6*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 - 15 - -7 - -41?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 575*c**9\/504 + 223*c**5\/12 + 696*c**2. What is the third derivative of o(l) wrt l?\nAnswer: 69000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306318 = -3735*u - 4136*u - 6026*u for u.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 37680840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 20*z + 64. Let m be f(16). What is the third smallest value in -0.4, -43, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1405 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -32*l + 162. Let u be b(5). Suppose -21 = -4*g + 3*j, 2*g + u*g + 4*j - 56 = 0. Solve -5 = -o - g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*g - 56 - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1127.824 micrograms to grams.\nAnswer: 0.001127824","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -18564*u + 1512. Let v(k) = -39*k + 3. Calculate -2520*v(q) + 5*y(q).\nAnswer: 5460*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 92472.\nAnswer: 462360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l**2 + l. Let h(q) = 0*q**3 + 2*q**3 + 3*q + q**3 - q**3 - 3*q**2. Let t be (-260)\/156*(-18)\/10. Determine t*u(b) - h(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 0.317521\nAnswer: -0.01587605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-10)\/s)\/s)**(2\/19)\/(s*s**(-2\/51)*s**(-1\/12)) assuming s is positive.\nAnswer: s**(-8297\/3876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 67.1. Let g = -14.1 - n. Let a = 17.00000021 + g. Round a to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8955*l**4 + 89*l**2 - l wrt l?\nAnswer: 214920*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-14) + (744\/126)\/(308\/462). Let g = -18 + 25. Let f = 12 - g. Solve f*i + 16 = -z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(55)\/(sqrt(20)\/sqrt(4)) + sqrt(11) + 0) + 4 + ((sqrt(11) + -1)**2 - sqrt(11)) + -5*(sqrt(11)*4 + sqrt(11)).\nAnswer: -32*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moz when three letters picked without replacement from zlmlo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/6 - 7*f. Let o(d) = 42*d**2 - 16*d. Let g(b) = -8*b**2 + 3*b. Let v(m) = -16*g(m) - 3*o(m). Calculate v(t(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*s - 2 = 11, 0 = 2*o - 5*s + 1. Suppose 0 = -2*j + o*j - 55. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*h + 342*h = 5*n + 10, 0 = -4*h - 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 j when four letters picked without replacement from ahjajaj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 5*q - 104, -p - 3*q - 41 = 0. Let r = 16168 + -16168.2. Are r and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4 + 13. Solve -5*g + y = b, 11 = 5*g - y + 5*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/((-49665)\/132)*49?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350611528?\nAnswer: 2, 449, 97609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 878\/3*(-6 - -12). Suppose -4*l + 8 = 0, -4*k + l + d = 3*l. Suppose 5*j + 5*r = 730, 5*j + r = 2*j + k. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*u - 24 = 0, 0*u - u = g. Suppose -5*t + 37 = -g*a, 2*t + t - 27 = 4*a. What is the closest to -9 in 0.4, a, -4\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 8. Suppose 5 = 4*r - 3, -4*j + 2*r - 12 = 0. Calculate the remainder when (2 + -1)*(34 - j) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-3)\/(-5)) + 54\/(-10). Let f = 284 + -276. Which is the second smallest value? (a) -5 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 12:26 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9211 - -9211.2. Let t = 811\/598 + -27\/46. Which is the third biggest value? (a) t (b) -4\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 3*k = 14. Suppose 6*u = k*u + 12. Suppose u*c - 39 = 114. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let r be f(3). Suppose 0*y + 118 = 5*m + y, -2*m = r*y - 55. Suppose 4*l + 4*v = v + m, 2*l + 3*v = 13. Sort l, -3, 0 in increasing order.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -31854.\nAnswer: 7\/10618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 534\/(-8)*22\/(-33) and 49\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*n**6 - 14*n**5 - 296*n**3 + 318550*n**2 wrt n.\nAnswer: 960*n**3 - 840*n**2 - 1776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29773, -119080, -267923, -476302, -744217?\nAnswer: -1071668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 24*r - 2 - 38*r + 13*r. Let g be (0\/2)\/2*-1. Suppose g*n + 4*n = -20. What is q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 34 - (-4 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1877 + 1881. Calculate the greatest common factor of a and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/138)\/(-4 - (-78)\/18).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77948, -77946, -77944, -77942?\n\"Answer: 2*y - 77950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/36 and -93\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1 + 2*h**2 - 2*h**2 - 2*h**2. Let l = -19 + 27. Suppose -9*t + 13*t = -l. What is s(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 = d - 56, 2*a + 90 = 4*d. Let w be d\/28 - 4\/(-14). Suppose 4*p - w - 7 = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 8:43 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 1 = -2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.112 + -66.368. Let w = s + 69. What is w rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -3*q + 5*m - 16, -3*m = q - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756*c = -762*c + 36 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**2 + 134563*w + 8 - 134563*w.\nAnswer: 25*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = 38*l + 110 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/5 - 26*g\/3 - 28\/5 = 0. What is g?\nAnswer: -21, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 16*c**2 + 41*c - 27. What is w(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-5)\/((2 - 0)\/(-5*976\/40)) and 2135?\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Let q(w) = -w**3 - w. Let k(f) = -4*f**3 - 3*f + 2. Let y(h) = 76*h + 79. Let j be y(-1). Give i*k(d) + j*q(d).\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x**3 + 0*x + 12*x**2 + 0*x**4 - 1\/240*x**5 + 0 + 1\/480*x**6. Solve y(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1095 + -1089 + (1 - 2 - 4) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4)*20\/10. Suppose y - 5 = -2. Let n(t) = -2*t**3 + 4*t**y + 3*t - t**v + 3*t**2. Calculate n(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**(4\/5)*(d\/(d**0*d))**(-29))\/((d**(2\/7))**24\/(((d**2\/d)\/d)\/d**(-6))) assuming d is positive.\nAnswer: d**(-146\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 - 111 = -7*p. Let t = -74 - p. Which is greater: -0.3 or t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12 + 4 + p**3 - 13 - 5 + 29*p + 21*p**2. List the prime factors of w(-19).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*5\/9*3. Let w = 5 - q. List the prime factors of (3 + w - 0) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.4 (b) 1\/22 (c) -0.07 (d) -55 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 482 = -5*k. Suppose -k = -3*d + 5. What is the highest common factor of d and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -100584.\nAnswer: -100584, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(5\/(715\/26)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (-84 - -55) - -13\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16500555 and 331785.\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 230?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 836\/(-2)*(-3)\/12*2. Suppose -5*u = 159 - h. Solve 7 = 2*j - 2*a + 1, -4*a - u = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 452586.19 to the nearest 1000.\nAnswer: 453000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 27782592?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 + 6 - 2 + s.\nAnswer: s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/3 + 683*k**2\/3 + 5874*k - 19680 = 0.\nAnswer: -656, -30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s**3 - 3*s)*(s + 2*s - 5*s) + (s**2 - 4*s**2 + s**2)*(3 - 3 + s**2).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/150*(-760)\/(-304)*(-10)\/(-12).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g - 44. Calculate k(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -829\/236 - -163\/59. Let n = 81 - 81.15. Suppose 0 = 3*y + 2*v + 12, -4*y + 3*v - 12 = -y. Which is the third biggest value? (a) o (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. Let d be 1 + (8 - 3)\/f. Suppose -2*c = 3*u - 6, -5*u - 34 = -3*c - c. Put -2, c, d in descending order.\nAnswer: c, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 349\/3367937?\nAnswer: 349\/3367937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a + 44. Calculate the remainder when 1053 is divided by y(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*l = -13 + 41, 4*g - 2*l = 30. Suppose 7*q = 9*q - g. Factor 2*i**5 - i**q - 28 - i**4 + 28.\nAnswer: 2*i**4*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)*d*(d\/(d*d\/(d\/d**(-10))*d*d))\/d*d*(d\/(d*(d*(d\/(d*d\/(d**(1\/5)\/d)*d))\/d)\/d))\/(d\/(d\/(d\/(d*d*d**1)))))**32 assuming d is positive.\nAnswer: d**(2288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2638 + 0.042696882953.\nAnswer: -2637.957303117047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 17. Calculate r(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d)**6\/(d\/d**(-3\/5)*d**(-14)) assuming d is positive.\nAnswer: d**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9889 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1.5. Sort -0.02, -4, l in ascending order.\nAnswer: -4, -0.02, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k - 44. Let h(o) = -10. Calculate -6*h(i) + m(i).\nAnswer: -11*i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 7. Let q be w(9). Let o be (2\/1)\/q*0. Solve 0 = f + 1, 5*f + o = v - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Suppose 3*y - 4*p - 5 = 0, f*y + 8*p = 3*p + 14. Suppose -4*w + 24 = 5*k, k + y*w - 7*w = 0. Solve -4*o = 5*u - 36 - 5, 5*o - k*u = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let m = -43 + 48. Which is the closest to 1\/4? (a) m (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407020991 a multiple of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41705571769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.2. Let w = 31.35 - 37.35. Sort 2\/11, w, r, -2 in descending order.\nAnswer: 2\/11, r, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 8*i - 55 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x - 76 = 152 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-120) - (-27)\/60)*(-28)\/91?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-4\/7))**(-3\/34)\/(i*i**(1\/14))**(-48))**(-3\/29) assuming i is positive.\nAnswer: i**(-18279\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-6))\/(8\/60). Suppose 20 = 4*v - 9 + 13. Solve v*h - 6 = c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2)*((-42)\/18)\/(-7). Let q(r) be the first derivative of -3\/5*r**5 + 3 + 0*r**3 + 3\/4*r**4 + 0*r**2 + i*r. Let q(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*1*-1 + sqrt(72)\/sqrt(24))\/(sqrt(384)*1*-3).\nAnswer: sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwxwwwwwwwwxw. Give prob of picking 4 w.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3157 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2668 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 99\/7, -2\/5, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 24218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -42, -155, -374, -735, -1274, -2027, -3030?\nAnswer: -4319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132181 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 211, 408, 663, 976, 1347, 1776?\nAnswer: 2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 738, 313, -112, -537, -962, -1387?\n\"Answer: -425*v + 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfpj when four letters picked without replacement from {p: 1, s: 1, c: 2, n: 2, f: 4, j: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 150492200 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - -5*(sqrt(187)*-1 - sqrt(187)) - -1*sqrt(187)*3)*1)\/((sqrt(3168) - sqrt(3168)*-1)\/(sqrt(18)*-4 - sqrt(2))).\nAnswer: 13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -4, -11.1, -3, -0.1?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4058?\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a7 (base 16) in base 10?\nAnswer: -8615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 3, b: 7, r: 1, q: 3, y: 1, i: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 1\/9, 0.26, 6636?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 31*o**2 - 174*o - 311. Give m(-3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -x - 1 + 9, 19 = -4*x - v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 24 = -2*u, -u - 4*g - 18 = -0*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -364*j**2 - 521 wrt j?\nAnswer: -728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - -6) + 0 - 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5634274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2. Suppose 5*a - 28 = -3*o, -16 = -s*o - 5*a + a. Let r = -3 + 5. Calculate the smallest common multiple of o and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -181625 and 891212.\nAnswer: 709587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279602843*j - 67*j**2 - 279602843*j + 69*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + -4 + ((-5 + 1 + sqrt(700) + sqrt(700) + sqrt(700) + sqrt(700))**2 + -1 + sqrt(700) + -1)*-3 + -5).\nAnswer: -5580*sqrt(7) + 201936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 e, and 1 z when four letters picked without replacement from {h: 3, b: 4, z: 1, e: 6, p: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 4*z**2 - 9*z**2 in the form w*z**2 + j*z + f and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -4*t**2 - 1\/3*t**3 - 1\/120*t**6 + 0*t + 0*t**5 + 0 + 1\/24*t**4. What is the units digit of s(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 8:24 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 356 + -351. Let d = -30 - -6. Let x = d + 20. What is the smallest value in 0.4, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 + c - 1. Let x be l(1). Suppose -5*z + 199 = v, -v - 16 = -2*z + 58. Let w = z - 24. Solve 0 = y - x*y - w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y = 11*y + 56 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 193? (a) 304 (b) 1 (c) -1\/2 (d) 0.25 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -121696 + 121696 - 497*a + (3 - 1 + 0)*(-3*a + 0*a + a) + a + a - 6*a in the form z*a + w and give z.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 2*k + 2. Let s be y(2). Suppose -3*f + 48 = s*i + 2*i, -4*i = -4*f - 20. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*u + 27*u + 15*u)*(u + 0*u + 0*u) + (3 + 0 - 1)*(3*u**2 - 3*u**2 - u**2).\nAnswer: 110*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (140\/(-30))\/(3\/(-54)). What are the prime factors of -1 + 1*f + -1?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 9:26 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or 10465\/8?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4)*z**(1\/5)*z**(1\/6)*z*z**(-6) assuming z is positive.\nAnswer: z**(-259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 476 + -3336\/7. Sort 3\/2, 2, 4, o.\nAnswer: o, 3\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38002, 75952, 113848, 151690?\nAnswer: 189478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (-59 - (-27 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0 (b) -32 (c) 6\/11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 3*l**2 + 2*l**2 + 2*l - 2*l - 2*l**2 + (-13*l + 8*l - 3*l)*((4*l - l - 4*l)*(0 - 2 + 5) + 0*l - 5*l + 2*l) to y*l**2 + n*l + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 11:15 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-172)\/4)\/((-275)\/45 - -6). Let h = 68 + -31. Suppose s = -2*j + 108, -4*s - 4*j = -h - r. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 5\/5 - -1) + 3. Let t(p) = 213*p - 19. Is t(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 471459054.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/5 + (-84)\/30 - -4. Let a be (-6)\/6*m\/2. Is -4\/25 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 + -293. What is the smallest common multiple of 45 and v?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567722233 and 5902.\nAnswer: 2951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -2\/9, 157.4, -2.69?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000055086 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/15)\/n**(-1\/7))**26*((n*n\/n**(2\/5))\/(n**(5\/6)*n*n))**19 assuming n is positive.\nAnswer: n**(-3413\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3150)\/325)\/(147\/(-637)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.321 + -1.721. Let k be (4\/5)\/((-1)\/5). Sort 2, k, u in increasing order.\nAnswer: k, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 901, 904, 907, 910?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**5\/5 + 108*r**4\/5 + 140*r**3 + 756*r**2\/5 - 688*r - 720 = 0.\nAnswer: -18, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 354\/10 - -3*6\/(-45). Let j = -35 + m. Is j greater than or equal to -1\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**4\/7 - 1160*b**3\/7 + 11826*b**2\/7 + 15296*b\/7 - 25960\/7 = 0.\nAnswer: -590, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 1744*i - 7041. Calculate o(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14857*a**3*q**3 - 5*a**3 + 214727*q**3 wrt a.\nAnswer: 44571*a**2*q**3 - 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 759 and 122771.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 2*t - 41. What are the prime factors of x(10)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -36. Let s = t + -30.3. Which is the biggest value? (a) s (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1110942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:29 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -26*z + 18. Is 2 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-1))\/((-1)\/10*(-5320)\/28)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 + 6 + 4*w - 3*w - 12 + 2*w. Let u(h) = -h**2 + h + 1. Let f(p) = n(p) + 4*u(p). Determine f(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.4 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 941480 and 41520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 0.3 (b) 1 (c) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/6*(-14 - (-28 - -18) - -127). Suppose -6 = -u + 5. Calculate the highest common divisor of x and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6824.44062 rounded to the nearest integer?\nAnswer: -6824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2. Let y(d) = 203*d**2. Give o(y(z)).\nAnswer: -247254*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1212 and 1 - ((-17)\/((-153)\/(-36)) - 1*16).\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:37 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(sqrt(68) + -3) + (sqrt(34)\/sqrt(50) - (sqrt(17) - (sqrt(17) - (-3*sqrt(1377))**2))).\nAnswer: -12423 + 101*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = v + 3, 2*v = 29 - 35. What is the third biggest value in -3, -1, -0.4, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 5 = l. Let u = l - 15. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 32*u - 5. Suppose -3*f + 2*w = -54, 0 = -4*f + 2*f + 5*w + 25. Let p be g(f). Is 236 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1106 = -286. Let l = -99 + z. Calculate the highest common factor of l and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000167188 to seven decimal places.\nAnswer: 0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -68670 divided by -2?\nAnswer: 34335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(18\/30*5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-9) + 8 + -4. Let 10\/3*o + 2*o**4 - 4\/3 - 2\/3*o**2 - t*o**3 = 0. What is o?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2) + (16 - 0). Let i = p + 14. Let q = i + -26. Calculate the greatest common divisor of 6 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -18. Which is the smallest value? (a) 0.2 (b) n (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*x - 3987 - 11385 = 0. What is the second smallest value in -11, 4, x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3595? (a) 0.5 (b) -2\/11 (c) 3 (d) 2 (e) -0.115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168173 divided by -143.\nAnswer: -168173\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -10997803 and 0.2.\nAnswer: -10997802.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.017 from -14245.\nAnswer: -14244.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -4. Let u be -1 - 0 - l\/(-10). Which is the smallest value? (a) -0.3 (b) -2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5887, 5888, 5889, 5890?\nAnswer: 5891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12450 or -12430?\nAnswer: -12430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edid when four letters picked without replacement from dikddkkekidekkkkddkk?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9305 is divided by 216?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 95999, 768091, 2592317, 6144743, 12001435, 20738459, 32931881?\n\"Answer: 96011*b**3 + b**2 + 12*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769*u + 45 = 780*u - 142 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 200?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -16. Let m = 17 + k. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 970 divide 609545090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 422164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 2*y**3 + (-29 - 6*y + 29)*(-2*y**2 + 2*y**2 + y**2))*(-3*y**2 + 0*y + 0*y).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88561 (base 9) to base 6.\nAnswer: 1132044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1617 is divided by 145\/15 + 2 - (-8 - 92\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-84)\/154)\/(3\/(-33)). Let u(k) = -2*k - 3*k + 0*k - 28*k**2 + 34*k**2 - 5. Let v(x) = 3*x**2 - 3*x - 3. What is w*u(a) - 10*v(a)?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80344, -80361, -80390, -80443, -80532, -80669, -80866, -81135?\nAnswer: -81488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 39 = -i + 50, -2*i = 2*p - 10. Let o = -2.99 - -3. What is the nearest to o in p, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 10*z + 2*m + 17, -5*z + 3*m + 57 = 0. Solve -17*l - z*l - 78 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {m: 2, f: 5, u: 1, n: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.7 + -3. Suppose 0*v - 5*g = 2*v - 20, -3*v = 3*g - 21. Sort r, 2, v in increasing order.\nAnswer: r, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m - 3*m - 21 + m**2 + 5. Suppose 4*k + 43 = 3*t - k, -k = 5. Let x(b) = -5*b + t*b + 3 + 6*b - 5*b. What is -2*c(u) - 11*x(u)?\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 0 (c) 268 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5 + 262*h**4 - 40776*h**3 - 11075218*h**2 + 40775*h + 11074956 = 0.\nAnswer: -233, -1, 1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18518 - 2?\nAnswer: 18516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24276420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -2*z**3\/9 - 13*z**2\/3 + 28*z\/3 - 392. Let h(i) = 0. What is i?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695397591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let y be q(-6). Let c(j) = 5*j - 16*j + 12*j. Determine c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -597351, -1193112, -1788875, -2384640, -2980407?\nAnswer: -3576176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 44*h**2 + 2*h + 4. Let i be u(-2). Calculate the greatest common divisor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8)*4)\/((-7)\/(-2))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 171652 (base 9) to base 13\nAnswer: 39482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(1\/5)))\/w*w*w**(-3\/28)*w**(-26)*w*w**(-32\/5)\/w assuming w is positive.\nAnswer: w**(-4579\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000434238113 rounded to seven dps?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -366\/7 or -2?\nAnswer: -366\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11524*0.746\nAnswer: 8596.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 42*t**2 + 177*t + 16. Give b(15).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 6*v + 10, 5*i - 5*v - 12 + 17 = 0. Solve 0 = 4*p - 0*p + 5*h - i, -5*p = 5*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3 + 7 = 2*t, 4*q + 2*t + 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135.6167 - -0.0167. Let h = k - -148. Let p = 12 - h. What is the nearest to 2 in p, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*q - 10. Find the third derivative of 965*r**3 + 18*r**4 + 960*r**3 + 6*r**2 + 5 - 1926*r**q wrt r.\nAnswer: 432*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -26*v - 6. Let d be x(-5). Let c = -84 + d. Suppose -c = -h - 3*h. Solve 5*u + h = -5*r, -r + 2*r - 2*u - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156890743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 735 and 54195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -111 + -3?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:53 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n = 58*n - 1345 - 2417. Suppose -4*u = 4*f - 552, 3*f + 2*u - 389 = 4*u. What is the greatest common factor of n and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 4. Let d be o(-7). Let h(q) be the first derivative of -q**4\/2 - 4*q**3\/3 + q**2 + 6*q - 1. What are the prime factors of h(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.1 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219*z**3 + 374*z**3 - 188*z**3 - 5 + (0*z**2 + z**2 + 0*z**2)*(0*z + 0*z - z) - 15 + 15 - 15*z**3 to i*z + q*z**2 + n + t*z**3 and give t.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4404 + -52?\nAnswer: 4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 3*x**4\/16 - 7*x**3\/2 + 33*x**2\/2 - 30*x - 169. Factor m(r).\nAnswer: 3*(r - 10)*(r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564 - 2462 = -253*q + 4427 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvdo when four letters picked without replacement from {z: 1, t: 3, v: 3, d: 1, o: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-12))\/(21\/28). What is the third smallest value in 4\/5, 2\/9, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1086, -2\/11 in decreasing order.\nAnswer: -2\/11, -3, -5, -1086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*18\/(-36)*22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**2 - 3*u. Let r be n(1). Suppose 4*y - 69 = -4*k + 139, -210 = -r*y - 5*k. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 240880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/15)\/((-1)\/60*3). Suppose i*s = 9*s + 4. List the prime factors of s\/(-10) - 353\/(-5).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -86901718.\nAnswer: -2\/43450859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/z*((z**7*z)\/z)\/z)**(-2\/135)*(z**3\/z**(-1\/2))**(-3\/2) assuming z is positive.\nAnswer: z**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 2. Let u be q(0). Sort 4, u, 3 in ascending order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1884 and 8070.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 20 = 5*l. Let b be (4\/8)\/(5\/40). Solve -6 - l = b*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -37 (b) -0.2 (c) -0.1 (d) 2\/7 (e) 18 (f) -168.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62081 or 237?\nAnswer: -62081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 36 = a, 42 = 2*a - 2*q + 6*q. Solve -7*k - a + 10 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 3*s**2 - 18*s + 4. Give i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/6 (b) 5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 + 4)*(2 + 3 - 3) + 6 - 2 - 11)*(4*o - 4*o + 2*o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**2 + 6*u - 3. Let o(j) = -j**2 + 2. Calculate n(k) - 6*o(k).\nAnswer: -k**2 + 6*k - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 22*c + 6. Let i be f(5). Suppose -i = -5*p + 4. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 25 = -8*c + 3*c - 33, -17*c = -h - 5*c + 4*c - 26 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*n + 3*n. Let f be 2\/n - (-107)\/(-7). Does 4 divide f*((-1 - 2) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16791, 33577, 50363?\nAnswer: 67149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5920.5 - -5921. Which is the nearest to -5? (a) 0.04 (b) 4\/5 (c) h (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/sqrt(5)*1)\/(sqrt(432)\/sqrt(12)) - (-5 + (sqrt(22)\/sqrt(2) - sqrt(11)) - (2 + (4 + sqrt(11) - sqrt(11) - sqrt(11)))))**2.\nAnswer: -44*sqrt(11)\/3 + 1133\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p + 7584. Let z be p\/40*40\/(-6). Suppose 5*d = 3*u + z - 150, d + 2*u = 86. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 505 - 188. Suppose -537 = -8*j + g. Suppose 4*x - j = -15. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -112, -207, -332, -493, -696, -947, -1252?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u + 8*u)*(3 + 4 - 5)*(-73*u + 59*u - 70*u).\nAnswer: -1176*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 331951463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by 130.\nAnswer: -21\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + sqrt(832) + 1)**2.\nAnswer: 64*sqrt(13) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 540325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-4)\/8)\/((-1)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(20)\/(sqrt(40)*1) - 1*(sqrt(72) + sqrt(72) + (sqrt(72) - ((sqrt(72) - -1*sqrt(72)*-5) + sqrt(72))**2) + sqrt(72))).\nAnswer: -47*sqrt(2)\/2 + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41848510*i*x**2 + 355*i*x + 4*x - 160 wrt x.\nAnswer: 83697020*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 3*l**2 - 6*l + (-2*l + 4*l - l)*(-l + 0*l + 0*l))*(3 + l - 3)*(0 - 2 + 4 + (-2 + 3 + 0)*(0 + 0 - 1)).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3089900587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9376359.\nAnswer: 3, 47, 66499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08317952 - 129890?\nAnswer: -129888.91682048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*o + 57. Suppose 4*u - o = -2*u. Calculate the greatest common divisor of u and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaaa. Give prob of picking 3 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l, -2*l + 1590 = -3*q + 24447. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104407 - (-1)\/(-2)*0\/(-101) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11327 + -10997. Calculate the lowest common multiple of 1140 and f.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101100100010 (base 2) in base 16?\nAnswer: 1b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33066 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -89\/12, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 8}. What is prob of picking 4 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -23. Let p be 3 + 1 + d + 10. Suppose -p*a + 7 = -17. Solve -a*f + 1 = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*a - 6*a - 19968. Is 52 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 20. Let p(u) = -u**3 + u + 9. Let x be p(y). Let z(c) = -c**2 + 10*c - 8. Let b be z(x). Sort b, -5, -8 in increasing order.\nAnswer: -8, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 1 + (-27 - -27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9167336137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10a0 - 292?\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -459598 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*t - 199 + 806 + 401 + 4*t**3 - 163*t + 431*t**5 + 78*t wrt t?\nAnswer: 8620*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557264 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16333575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**7\/2520 + 41*y**4\/12 + 104*y. Let w(c) be the third derivative of z(c). Let p(i) = -10*i**2. What is w(p(u))?\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 10 - 4)*(o**2 + 2*o**2 - o**4 - o**2)*(-2*o + 0*o + 3*o).\nAnswer: -12*o**5 + 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**2. Let h be b(1). Suppose 6 = 4*o - 6. Let l = o - 1. Calculate the highest common factor of h and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1157 is divided by 192.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.4, -0.4, -5, 47\/2, -0.15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 74860.65 millennia?\nAnswer: 748606.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u - 10. Suppose 0 = 4*z - 2*z - 3*x + 3, -z - 3*x + 3 = 0. Let k be 10 + (-3 - 1) + z. Does 10 divide g(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f - m + 5, 0 = -2*m + 2. Suppose 0*y = -f*y. Let h = y + 45. Calculate the remainder when h is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/(d**(-18)*d*d))\/(d**(-3))**(-4\/3) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, f: 2, d: 4, z: 2}. Give prob of picking 2 e, 1 z, and 1 f.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Suppose -5 = -2*k - 17. Let m be 7\/(-49) + k\/(-21). What is the nearest to q in m, 2\/7, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 11. Let g be a(9). Suppose 0 = -0*w + g*w - 32. Let p = w + -7. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393657 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*a + u - 2*u + 136, -3*u = -u - 5*u + 58 - 166 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 38*y**3 + 7*y**2 - 2*y - 8. Let m = -22 - -27. Is i(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -0.07, 2\/13, -1, -0.071, -2\/75?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 3*k - 4*k)*(-k + k**3 + k) in the form v*k**4 + q + z*k + m*k**3 + n*k**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134796.\nAnswer: 2, 3, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 2*y**2 - y**3 - 9*y**2 + 5*y - 7. Let l be d(-8). Calculate the remainder when 9 + (l + 0 - 2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 202?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04295414473 to six decimal places.\nAnswer: 0.042954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458 - 468 - 11*k**3 + 1388 - 462.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + 1312*p**2\/3 - 146880*p + 2239488.\nAnswer: -(p - 648)**2*(p - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 6*q - 12. Which is the second smallest value? (a) 0.3 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*i - 172 = 0, 197 = 4*k - 4*i + 41. What is the remainder when 444 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Suppose 4 + 4 = -b*i. Put 5, 2, i in increasing order.\nAnswer: i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17)\/((-2737)\/(-14)) - (-32708)\/23.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/(-16) - (-57)\/152. Let u be (i\/(-5))\/((-29)\/12905). Calculate the highest common divisor of u and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 30714820.\nAnswer: 61429640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14631, 27352, 40073, 52794, 65515, 78236?\nAnswer: 90957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1006\/143 + -147\/13. Find the common denominator of 257\/(-117) - 6\/234 and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 89\/(-1068)*(-3)\/((-18)\/16). Let j(r) = r**2 - 6*r - 4. Let v be j(6). Which is the second biggest value? (a) s (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-252)\/48*(-12)\/3. Suppose -3*a + 0*a - m = 3*n, -2*a - 3*n = 13. Which is greater: a or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7641 + 8401. Calculate the lowest common multiple of 20 and i.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -225 - -223. Suppose 0 - 9 = 3*l. Let z = l + 2. Sort z, -4, i.\nAnswer: -4, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102020 - -2?\nAnswer: 10102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 1. Let h be (2*-2)\/(-9 - 48\/(-6)). Suppose i + 12 = 11*v - 6*v, -h*v = -i - 9. Solve -3*w + i = 5*t, 28 = 5*t - 5*w - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90564104857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahvvhvhvhhvhhhhvh. Give prob of sequence vhhv.\nAnswer: 45\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 10, c: 4, k: 2, n: 1}. Give prob of picking 2 l.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + 0.23. Suppose -5*z + 2*z = -12. Let g be (4\/2)\/((-1)\/((-2)\/z)). What is the nearest to g in 1\/5, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 10*h - 3. Suppose 0 = n + 6 - 1. Is o(n) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 15*y**3 - 15*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512991319 to the power of 1\/2, to the nearest integer?\nAnswer: 67179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -7, 0.1, -1, -0.5, 308.\nAnswer: -7, -1, -0.5, 0.1, 10, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4324330131 (base 5) in base 15?\nAnswer: c202e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 11, 189 in increasing order.\nAnswer: 11, 112, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.6, -2, -0.5, -3\/5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77592 and 285897423?\nAnswer: 9699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (-1*256\/12)\/(11784\/1476 - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-21*j**4 - 5*j**2 + 5*j**2) + 2*j**4 + j**2 - j + j.\nAnswer: -40*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - g**2 + 2*g - 2. Give y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a factor of 1665023283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9 - (-5)\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 16. Suppose 5*c = q + 26, 2 = 4*c - t*q - 21. Suppose c*d + 25 = 0, -2*j - 1 = 5*d - 36. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 4*n = 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 8.4. What is y rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/120 + o**5\/15 + o**4\/8 + o**3\/3 + 7*o**2. What is f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.6 and 3433.8?\nAnswer: 15795.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 - 21*q**2 - q - 2. Let a = 44 - 38. Calculate the least common multiple of a and u(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -4*x - 10. Let h = x + -44. What is n in 0*n - 4\/3*n**3 + 0*n**h - 6*n**4 + 0 + 22\/3*n**5 = 0?\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 70971.9?\nAnswer: 70973.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40850520?\nAnswer: 2, 3, 5, 47, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47833 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2939\/11 - 267. Let z = 0.16 + 10.84. Let s = 10.9 - z. What is the closest to s in 1\/7, -0.5, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:47 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**3 + 3*p**3 - 5*p**2 + 4*p**2 as s*p + g*p**2 + y + u*p**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -14 - -8) + (-15 + 4 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101772 take away -0.548?\nAnswer: -2101771.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -174135 divided by 3705?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence favv when four letters picked without replacement from {a: 1, i: 1, v: 5, k: 1, f: 1}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f**2 + 5*f - 6. Let y(v) = -32*v**2 + 14*v - 17. Give -17*c(z) + 6*y(z).\nAnswer: -5*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 1. Let a be c(2). Let u = -610 + 7926\/13. Let b = 1554 + -1553.6. What is the smallest value in b, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 3*n - 10)*(-6 + 5 + 0) + 3 - 3 - 2*n + (-1 - 4 + 3)*(n - 3*n - 3*n) - 4*n + n + 4*n in the form c + l*n and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 7, 0, -2, 3, -39 in decreasing order.\nAnswer: 12, 7, 3, 0, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 - 2. Let t = 7.4 + -60.4. Let m = 53.5 + t. Which is the biggest value? (a) m (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102505305 (base 6) to base 8.\nAnswer: -6725011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 540441*-0.5\nAnswer: -270220.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 13. Calculate the lowest common multiple of y(-4) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 4*t - 5*o, 2544*t + 21 = 2540*t - 5*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2166 - 50?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**7\/840 + a**6\/60 - a**5\/30 - a**4\/24 + a**3\/3 + 2*a. Let p(t) be the second derivative of u(t). Does 2 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 5*l**2 + 9*l - 5. Let y be o(6). Let f be -2 + -5 + 4 - -68. Calculate the greatest common factor of f and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -235, -2571, -8897, -21205, -41487, -71735?\n\"Answer: -332*b**3 - 3*b**2 - 3*b + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l - 193 - 83 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.394238 + -9\nAnswer: -9.394238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 23 - 5 = 0. Let p be (548844\/20)\/(g\/5). Let f = -9809 + p. Find the common denominator of f and -19\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.7 - 17.7. Let w = -0.04 + -3.96. Let m = -137 + 142. Which is the closest to x? (a) w (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3\/3 - 1777*k**2\/3 + 3227473*k\/3 - 3225695\/3 = 0.\nAnswer: -2893, 1, 1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 12*n**2 - 12*n + 55. Let f be b(-8). Let r = f + 110. Solve 9 = r*c - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 12) + (-1183)\/70?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1881.747815 rounded to the nearest 10?\nAnswer: -1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 39 = -m, -6*m + 8*m + 2 = 0. Suppose 15*n = c*n + 35. Suppose -583 = -2*v - n*a, 6*v - 2*v - a - 1221 = 0. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.599884 + 11.6. Round k to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.38 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, -96, -143, -190, -237, -284?\n\"Answer: -47*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 2*g + 2. Calculate the remainder when v(6) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 2. Let o(t) = -2*t + 2. Let a(v) = 3*l(v) + 2*o(v). Let c be a(6). Does 17 divide -120*(-2 - 1*12\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22676, 45315, 67950, 90581, 113208, 135831, 158450?\nAnswer: 181065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3243 is divided by 1079.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3)*w)\/w)**23\/(w**4)**23)**25 assuming w is positive.\nAnswer: w**(-4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1752 and 1095?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6\/5)\/m)\/(m\/m**(-1\/45)) assuming m is positive.\nAnswer: m**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21864346, -87457400, -196779158, -349829620, -546608786, -787116656, -1071353230?\n\"Answer: -21864352*k**2 + 2*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 5*h**2 + 13*h - 7. Let m be k(-7). Suppose m = -3*s + 5*b + 26, 0*s + b + 6 = s. Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**3 - 15*l**3 + 15*l**3.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 224*a**2 - 10*a + 3. Let m(c) = 219*c**2 - 12*c + 3. Let f(u) = 6*k(u) - 5*m(u). Let b(i) = 3*i. Give b(f(v)).\nAnswer: 747*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -10 - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.3 - 43. Which is the third smallest value? (a) -1 (b) h (c) -0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 113. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(-67 + 58)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*5\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q = -60*q + 60 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y = 12*y. Suppose -h + y*a = a - 26, 0 = 3*h - 3*a - 78. Solve 3*v + h = 2*v - 5*w, w = -5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(500) - sqrt(500)*-2) + -4)**2 + (-1 + 1 + sqrt(500) - (1*sqrt(500) + 3))**2 + 1)*-3.\nAnswer: -216078 - 2880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d03c (base 14) in base 10?\nAnswer: 150974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 - (4 + -5)) - 4 - -6 - -21\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3154*f - 3. Let r(a) = -6318*a - 5. Give 5*i(q) - 3*r(q).\nAnswer: 3184*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.756 - -0.244. Let m = -0.8 - -1.1. Let a = 3.1 + -3. What is the nearest to a in m, u, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/8*w**4 - 1\/8*w**2 + 0 - 1\/4*w + 1\/4*w**3 = 0 for w.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 2*r - 2. Let l be f(-2). Calculate the remainder when 7 is divided by (l\/(-14))\/(4\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8035*b**2 - 127*b. Let c(z) = -4*z**2. Determine j(c(u)).\nAnswer: -128560*u**4 + 508*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(2736))**2*1 + (sqrt(228)\/(sqrt(36)\/sqrt(3)) - -1*sqrt(475)).\nAnswer: 6*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960)\/sqrt(2) + sqrt(120)*1)\/(-1*sqrt(18)\/(sqrt(3) + sqrt(363)*1 - sqrt(3))).\nAnswer: -66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162.4765 + -191.45. Let h = -0.0265 + k. Which is the third biggest value? (a) h (b) 1\/12 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 19*s, -x - 758*s + 760*s = 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*k = 116166, -2649*c + 2644*c + 4*k = -145218. What are the prime factors of c?\nAnswer: 2, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + -2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 21)*(-660)\/36?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5545182 divided by 5.\nAnswer: 5545182\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9055*n + 280706. Determine x(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Suppose 0 = -7*t + 9 + 22 + 18. Suppose -i*r + 14 = -t. What is the smallest value in 0, r, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (13 - (18 - -2)) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232427.3 decades to years.\nAnswer: 2324273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-132 - -179) + 200\/(-13).\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**7\/630 + q**5\/60 + q**4\/24 - 3*q**2. Let g(d) be the second derivative of h(d). Find the first derivative of g(j) wrt j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/40 + 4\/120 + 1. Which is the second smallest value? (a) -1 (b) 0.5 (c) f (d) -322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1818, 1725, 1634, 1551, 1482, 1433, 1410?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21135 + -21139. What is the fourth smallest value in s, -0.2, -3, -273\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*u**3 + 3*u**2 - 166*u?\nAnswer: -138*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -253 + 280. Calculate the remainder when 91 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Suppose 13 = 3*l - 2*l + 4*z, 0 = -l + 5*z - 5. Suppose q + l = y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182160 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 202 = z, 4*z + k = -2*k + 877. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -30 + 9)*(-8 - -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 0.0654.\nAnswer: 0.5654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 + 63 + 3*j + 7*j + 2*j - 4*j.\nAnswer: 8*j + 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by 300521.\nAnswer: 24\/23117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 1:41 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0427 and 3.\nAnswer: 2.9573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17362 + -9286. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14585*o - 14682*o - 3298 = 0 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1911)\/14)\/39)\/(((-6)\/3)\/2)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1706708*c**2 - 1098270.\nAnswer: 3413416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -375, -368, -361, -354, -347?\n\"Answer: 7*g - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*z + 72 - 366*z - 223 + 74 + 79.\nAnswer: -341*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/8 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 - (-19 - 15711)\/130?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-105)\/5)\/((-2)\/(5 - 1)). Is o less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/136836)\/(159254\/(-79628) + 2). Let d = -1\/1086 + v. Is -7 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -798 or -800?\nAnswer: -800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 27. Suppose 2 = r + 3*n, -t*r + 42 = 5*n + 6. Calculate the lowest common multiple of 6 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 10*i - 6. What is q(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855 is divided by (299\/230)\/((-2)\/5)*-24?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 7*d**2 - 6*d + 27. Let n be l(13). Let m = n - 5777\/6. Factor -1\/6*w**3 - 1\/6 + 1\/6*w + m*w**2.\nAnswer: -(w - 1)**2*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 + 8*n - 31. Let o(y) = -7*y**2 + 8*y - 31. Let t(q) = -4*f(q) + 3*o(q). Let a be t(-10). Solve 4*h + m = 0, a - 3 = 2*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -2 + 14 - 1 - g - g**2 + 5*g. Let a be w(0). Solve 2 = -a*t + 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/8320 and -19\/160?\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let h = 831.2 + -834.2. Which is the biggest value? (a) -0.5 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/140)\/(20\/147)*5\/9.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9639387.1*-1\nAnswer: -9639387.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 7*j - 6 = 0. Put j, 0, -3, 5 in descending order.\nAnswer: 5, 0, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 - 21*v**2 - 14. Let m be h(-7). Suppose 4*z - 3 = -63. Which is greater: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42071 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/4 + (-243806)\/1754.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926749 is divided by 117.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1)*(13 + 3 - 2)*(4 + 1 - 4)*(m + m**3 - m).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k - 2. Suppose -5*w + 7 = -3*c + 20, -64 = -4*c - 5*w. Suppose 84*j = 53*j - 62. Let g(l) = 4*l**2 - 10*l - 11. Calculate c*t(a) + j*g(a).\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 6*m - 4. Let f be n(-4). Let z = f + 1. Suppose 4*i = -4*a + 84, -z*a + 3*i + 97 = -0*i. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, n: 5, e: 3}. What is prob of picking 1 n and 1 q?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051 + 1760483202?\nAnswer: 1760483201.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j. Suppose -2*a - 736 = -4*m, 5*a + j*a - 3*m = -1861. Let o = -94 - a. Round o to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11837 and 171?\nAnswer: 106533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37055850 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 18*w = -19*w - 505, 4*x = -w + 511. Let m be 6226\/(-1) - 3\/3. Let h = x + m. What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 54*z**3 + 34*z**2 + 2*z - 134. Find the second derivative of i(m) wrt m.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m*m*m*m)**(-1\/2)\/(m*m\/(m\/m**(-3))*m*m*(m\/m**(5\/6)*m)\/m))\/((m*(m**3*m)\/m*m**2)\/(m**(-1\/3))**(10\/13)) assuming m is positive.\nAnswer: m**(-103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17280 divided by 640.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - 0) + (-258)\/40 and -41\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 6*l - 340. Suppose -22*h + 21*h + 11 = 0. Calculate the highest common divisor of h and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -278?\nAnswer: 19\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 10 = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + i**2 - 17*i + 51. Let l be r(3). What is the greatest common factor of l and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 1\/11, 0.3, -0.5, 27.93, -1\/49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 49 = l. Let u be (7 - 6)\/((-1)\/l). Let p(v) = -v**3 + 6*v**2 + 8*v - 9. Give p(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580574832?\nAnswer: 2, 3, 23, 47, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + 2 + -5)*4. Calculate the highest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496*158\/(-4751060)*5\/(-4).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 11250882252748 + 11250882252748.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 19982124.412 to the nearest one hundred.\nAnswer: 19982100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35379\/4 or -8844?\nAnswer: -35379\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -367088, -734187, -1101286, -1468385, -1835484, -2202583?\n\"Answer: -367099*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1338, 1325, 1312?\n\"Answer: -13*w + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*h + 5, 3*h = s - 5*s + 37. Calculate the greatest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 264. Let g = q - -47. Let p = 85 + g. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 2. Which is the third smallest value? (a) j (b) 0.2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -75*s + 317. Solve 4*d - 5*y - 9 = -8*y, -3*y + 9 = s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c0 (base 14) in base 8?\nAnswer: -3004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10428*f - 7839671 + 7839671.\nAnswer: 10428*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227*l**2 + 1924*l**2 + 896*l**2 + 1013*l**2 - 677*l**2 to x + k*l + c*l**2 and give c.\nAnswer: 3383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 + 9*c + 158. Let u(z) = -z**2 + z - 1. Let h(k) = -p(k) + 4*u(k). Let x be h(0). Is -487\/3 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekke when four letters picked without replacement from {e: 1, v: 2, k: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19900 is divided by 108?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7 - 1. Suppose b + 3*j + 2*j - 32 = 0, b - u*j = 0. Suppose -d - 2*d - 3*n - b = 0, 0 = -2*d + 2*n - 4. Put -4, -3\/4, d in increasing order.\nAnswer: -4, d, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, -0.1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 80385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3243760*k + 16218806. Determine o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-8)*-6*6\/(-22 - -4). Sort q, -41, -0.5, -3 in decreasing order.\nAnswer: -0.5, -3, q, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 14. Let v be w(4). Suppose -2*q + 4*n - 2 = 0, q - v*q - n + 5 = 0. Solve q*x = -2*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152736 divided by -43.\nAnswer: -3552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/((0 - 1)*1). Let p be 60*7\/((-140)\/(-12)). Suppose 13*u = 10*u + p. Calculate the greatest common divisor of v and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 + 40477*f = 0.\nAnswer: 0, 40477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 4*w - 55, -w = -5*f + 10. Suppose -2*y = 3*y - w. Solve 5*x - y*c + 8 = 0, -4*x - c - 1 - 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 101*g**2 - 2 - 66*g**4 + 99*g**2 - 81*g**4 to the form p*g**3 + i*g + z + u*g**2 + o*g**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6427*j + 33693*j + 0 - 3 + 3 in the form m*j + v and give m.\nAnswer: 27266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 121136 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/621665297 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5) - sqrt(55)\/sqrt(44)) + 1*(-1*sqrt(40) - sqrt(40))\/sqrt(8) + (sqrt(1815) + (sqrt(1815) - 1*sqrt(1815)))\/(sqrt(12)*6)*3)**2.\nAnswer: 10*sqrt(5) + 381\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 151553, 303075, 454595, 606113, 757629, 909143?\n\"Answer: -g**2 + 151525*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1885, 4765, 7645, 10525, 13405, 16285?\nAnswer: 19165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 29*u = 0. Suppose -l = 1, -3 = -r + 5*l - u*l. Sort 0, 8, 5, r in descending order.\nAnswer: 8, 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(12)*1 + sqrt(12)))**2 - (1 + sqrt(720))) + sqrt(25)\/((sqrt(5) - -2*sqrt(5))*-1).\nAnswer: -37*sqrt(5)\/3 + 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 (base 16) in base 2?\nAnswer: -1000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/3 + 8*u**3\/3 + 6*u**2 - 12*u. Factor t(z).\nAnswer: 4*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 13*x - 992. Let k be c(27). What is the highest common factor of 220 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(5 + 4 + sqrt(98) + sqrt(98)) - (sqrt(98) + (0 + sqrt(98) - sqrt(98)) + -4 - (2*sqrt(98) + 0 + sqrt(98)))) + 3)**2.\nAnswer: 8736*sqrt(2) + 16816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = g - 5*f - 18, -f - 2 = 0. Suppose 2231235 = -g*t + 431235. Round t to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 16. What is d(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 33 = -2*h - 25, -107*h - 681 = -3*p - 58*h - 16*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538533.\nAnswer: 3, 53, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/(j*j**6))*j\/j**0*(j**(1\/6))**(-2\/117) assuming j is positive.\nAnswer: j**(3158\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 51*a**5\/5 - a**4\/3 - a**2\/2 - 107*a. What is the third derivative of v(u) wrt u?\nAnswer: 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*a + 144 = -695*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -29, -40, -53, -68?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -187349.\nAnswer: -187345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.135 + -0.135. Which is smaller: 40 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/2699 + -75725\/137649. Let z = -1747\/255 + t. What is the common denominator of z and -17\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131547\/4 less than 32887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 4854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i**2 - 5*i + 1. Let a(p) = -15*p**2 + 29*p**2 - 11*p**2 - 1 - 7*p**2 + 2*p. What is -5*a(v) - 2*t(v)?\nAnswer: 2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 25426237\nAnswer: -25426240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from rvdvlvdvvd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 306\/12*-6*5\/(-180) and -77\/244.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -4. What is the remainder when 27 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p + 367542 = 91*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/19 + 18886772*b\/19 - 44588769572498\/19.\nAnswer: -2*(b - 4721693)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*i - 3*i + 2*i in the form l*i + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 5*a**7\/42 - 14*a**6\/3 + 25*a**5 - 40*a**4 - 3*a + 296. Factor s(j).\nAnswer: 5*j**2*(j - 24)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-4))\/(9\/4). Suppose 18*h - 12 = 6. What is the closest to h in 2, -0.6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 12:52 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -1 + -4 + -4 + -2)*1)**2 + 4.\nAnswer: -154*sqrt(11) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3 + 24*t + 32 = 0. What is t?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64881986?\nAnswer: 2, 13, 2495461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 9:41 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 7*m**2 + 4*m - 7. Let u be k(-5). Solve -3*j - 5*t = -3*t + u, t = -4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 916 = 4*b + 4*c, 14*b + 1147 = 19*b + 3*c. Does 46 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -6. Let o = 18 - 18. Put g, 3, o in descending order.\nAnswer: 3, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 + -0.1. Let m = s - -0.5. Which is the closest to 1? (a) 4 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194474837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 481*c + 2259 = -482*c, -2*m + 4*c = -2250. List the prime factors of m.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 11*l**2 + 10*l - 5. Let t be c(-10). Let q = 6 + t. What is the highest common factor of 9 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*j + 270*j + 3 - 3.\nAnswer: 209*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -12\/5, 0, -0.4, -0.2, 4\/7?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.2509\nAnswer: -0.07527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqaolavqooqdqaqqool. What is prob of picking 3 o and 1 d?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*m + 4, l - 2*m = 2*m - 22. Let t(w) = -20624*w - 25452*w - 6 - 48925*w. Let b be t(l). What is b rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/6*(-7 + (-81)\/(-15))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -197, -789, -1777, -3161, -4941, -7117, -9689?\n\"Answer: -198*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 11) to base 3\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/48 + (-22)\/(-76). Which is the second biggest value? (a) -4 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 41482*s - 67 - 292.\nAnswer: 41482*s - 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(143) - sqrt(143))*3 - (sqrt(143)*-2 - sqrt(143) - sqrt(143) - sqrt(143))*6)*5)\/(sqrt(891)*-2 - -2*sqrt(396)).\nAnswer: -55*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167 by 1.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 120.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 6. Let t = z + -3. Let j = t - 11. Sort -1, -0.2, j in decreasing order.\nAnswer: -0.2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0932161 (b) -8 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 381*b + 12090.\nAnswer: 3*(b - 65)*(b - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -293279\/80 + 3666. Let t(d) be the second derivative of 0*d**2 - f*d**5 + 8*d + 1\/16*d**4 + 0 - 1\/12*d**3. Suppose t(n) = 0. What is n?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/9 - 2\/(-6). Suppose 5*y = -5*v + 30, 0 = -y + s*v + 2*v - 12. Solve -4*t = -y*p + 1, -5*t = -0*p + 5*p + 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168835195*h**2 - 3*h - 28240753.\nAnswer: -337670390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gsgsgggsgsg.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*x + 1712 = -2192 + 1022 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347 (base 13) to base 3.\nAnswer: 202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 110*q**2 + 92*q + 189. Calculate the remainder when a(-56) is divided by 46.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -12. Which is the nearest to l? (a) 2 (b) 1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -2*l + 3\/20*l**5 - 1\/2*l**3 + 0*l**4 + 0*l**2 + 0. Factor m(c).\nAnswer: 3*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i, 0*i + 30 = 2*y - 4*i. Let h = 21.7 + -18.7. Which is the closest to 0? (a) -3\/5 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(140) - sqrt(140))*1 - sqrt(140))\/(-4*(sqrt(224)\/sqrt(4))\/sqrt(8)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*(p**(-1\/6)\/p)\/p*p*p)))\/p*p**(-2\/13)*(p*p**3)\/p**(2\/7) assuming p is positive.\nAnswer: p**(1853\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -58 + 3 + -5 + 5. What is the least common multiple of (-1)\/(-1) - q\/11 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z**5\/4 + 803*z**4\/4 - 259*z**3 - 1221*z**2 + 108*z = 0.\nAnswer: -36, -2, 0, 2\/23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -5) + 7 + -14 + 8 + -9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1089)*2 + sqrt(1089))\/(3*sqrt(6)\/sqrt(2)))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 6.7, -4.8, 1\/7, -4\/21, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -841.46 * 4\nAnswer: -3365.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a**3 + 5*a**2 + 0 - 1\/60*a**5 + 0*a + 0*a**4. Let i(h) = -h. Calculate i(j(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338616841?\nAnswer: 19, 53, 336263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-6)\/9 - -2. Suppose r = 5*g + z - 25, -4*z = 2*g - 0*g - 28. Let a(s) = s**3 - 3*s**2 + 6*s - 5. Is a(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -489e?\nAnswer: -489d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7*z - z = -253092. What is z rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 54*x**2 + 55*x - 113. Determine s(53).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*a + 1, 3*g = -2*a + 2 + 6. Suppose -g*f - 3 = -3*f. Suppose -f*p = -3*c - 21516, -c - 7180 = -3*p - 2*p. Round c to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/72 and 73\/1098.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**3 + 0*l**3 + 2*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 16 = -2*q. Let v(m) = 31*m**2 - 27*m**2 + 4 + 2*m - m**3 - 8. Give v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22463 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10443*l + 1800 = 10483*l for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -676?\nAnswer: -676.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 7:22 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, g: 2, y: 2, f: 1}. What is prob of sequence fgy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104\/123 - -22\/123. Let j = 2 - 2.08. Let s = -0.28 - j. Put -0.1, -0.9, s, x in ascending order.\nAnswer: -0.9, x, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*x + 52*x - 6*a + 6, -2*x = 5*a + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*t + 5 + 2, 4*t - 2*h + 2 = 0. Let j(k) be the first derivative of 0*k**2 - 2*k + 1\/4*k**4 + k**3 - t. What is j(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35376*h - 22507.\nAnswer: -35376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1442?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499896015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + u**2 + u**2)*(u - 2*u + 2*u)*(-2 - 1 + 4) + 4*u**3 + 2*u**3 - 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 1\/2, -3, 0.3, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 12*s**2 - 7*s - 1. Determine g(-12).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34, 61, 88, 115, 142?\n\"Answer: 27*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 - 9.4636?\nAnswer: -11.1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**3\/6 + 7*k**2\/2 + 2*k. Let r be x(-6). Let s be -4 + 4 + 57 + r. What is s rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -4 (c) 14 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.182721 days?\nAnswer: 447787094.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -61b (base 14) to base 5\nAnswer: -14301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 8:39 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + 5. Suppose -3*k + v = -0*k. Calculate the greatest common factor of 22 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*y - 3*b + 6*b, 0 = -4*b - 12. Suppose 0*j + 3*q + 36 = y*j, 12 = -3*q. What is the greatest common divisor of j and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 20499, -4\/7, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000219637 to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -614 divided by -307\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/q*q*q**(2\/9)\/q)\/((q*q**(-1\/4))\/q)**(-24))**(-1) assuming q is positive.\nAnswer: q**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.41 litres in millilitres?\nAnswer: 127410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (22 - 26) - -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 770 or 671?\nAnswer: 770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 2*f**2 - 41 + 0*f**2 - 47.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 19*q**2 - 43 - 63 + 144.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 7*v - 299. Solve -5*i + 13 = v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 2\/3, 1 in ascending order.\nAnswer: -49, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 1 + 3. Let z = h - -14. What is the remainder when 30 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 3 - 1 - 1 - 214*c.\nAnswer: -214*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 37. Which is the nearest to n? (a) -5 (b) -2\/3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:59 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 717*s - 646*s**4 + 82*s**4 - 31*s**4 wrt s.\nAnswer: -7140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 2*a - 2*a)*(-a**2 - a**2 + 4*a**2) - 8*a**3 - a**3 + 0*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 2*y - 5*y. Let n = y - 37. What is the smallest common multiple of (-141)\/n + 3\/5 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3024) + (sqrt(336) - -1*sqrt(336)))\/(sqrt(243) + -6*2*sqrt(3)).\nAnswer: -32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157\/3 - -53. Let t = 22\/9 + -10\/9. Solve -2\/3 - r*p**2 - t*p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 - 18*m**2 - 337*m - 550. Let q(g) = -85*g**3 - 485*g**2 - 9100*g - 14850. Let s(f) = 2*q(f) - 55*v(f). Suppose s(k) = 0. What is k?\nAnswer: -5, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/9 - 2608*l**3 + 68890316*l**2\/9 - 15301136*l + 68843378\/9 = 0.\nAnswer: 1, 5867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + 1*sqrt(405) + sqrt(405) + sqrt(405)*-1 + sqrt(405) + 3 + (sqrt(405) - (3 + (sqrt(405) - sqrt(405)*2))) + -4 + -4)*-3)**2.\nAnswer: -7344*sqrt(5) + 59476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -4. Let b be -5*(148\/(-140) - z). What is the closest to -1 in b, 2, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -2*u. Suppose -116 = -0*g - u*g. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {y: 1, d: 1, x: 13}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -86\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 797 - 2*u + 816 - 1650. Let l be a(-21). Solve -5*i = -l*j - 20, -5*j + j - 11 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(54\/(-135))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 395154 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 37*x**2 - 62*x + 20. Let b be f(-35). Let y = 264 + b. Solve y*k + 12 = 0, -3*t - k - 4*k = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10427 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 627*l**2 - 2268*l + 238131. Give r(630).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 902, 1943, 2984?\nAnswer: 4025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 579 - 2893\/5. Let x = -37 + 260\/7. Which is the fourth biggest value? (a) -0.2 (b) -1 (c) q (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 4*w**2 - 36*w + 215. Determine z(8).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 2*v - 10 + 2 + 9*v - 13 + 13 + (-4*v - v + 4*v)*(-4 + 2 + 3) + 2*v - 3*v + 3*v - 10*v + 6*v + 0 + 1 as b*v + k and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.034 + 0.066. Let u = 32 - 34.1. Let p = -143\/1206 + 1\/134. Which is the closest to -0.1? (a) l (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/17 + (-11)\/((-187)\/(-2)). Suppose -b = y, 4*t - 4*b + 2*b = 112. Calculate the greatest common factor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.76 - 0.24. Which is the closest to 2? (a) -1\/10 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**8\/28 + 29*o**6\/30 + 347*o**4\/6 - 50*o - 6. Find the third derivative of w(r) wrt r.\nAnswer: 240*r**3 + 696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 29.8, 3\/251 in descending order.\nAnswer: 29.8, 3\/251, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/4)\/((-1)\/(-2)). What is the second derivative of h - 4*h - h**5 + 0*h**i wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 810.2542 minutes?\nAnswer: 48615252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.22 or -523?\nAnswer: -523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (330 - 158 + 379*j**2 - 174)*(-j + 0 + 0) + (4 + j**2 - 4)*(4*j - 5*j + 3*j) as w + u*j**3 + f*j + o*j**2 and give u.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 29778898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/19 + 2*l**4\/19 + 18*l**3\/19 - 10*l**2\/19 - 32*l\/19 + 24\/19 = 0. What is l?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 987866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120672841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 0. Let y be 1 + 0 + (-2 - z). Suppose 4*v - 80 = -0*d - y*d, 44 = 2*v + 2*d. Calculate the remainder when v is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 10*f**2 - f - 13. Let m = -557 - -562. Suppose x - 10 = 4*l, x + 5*l = 4*x + m. Determine b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**2*j*t**3 + 2*d**2*j*t**2 + 17*d**2*j*t + d*j*t**3 + 17*d*j*t**2 - 11*d*t**3 wrt d?\nAnswer: -14*j*t**3 + 4*j*t**2 + 34*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, -5, 4 in decreasing order.\nAnswer: 5, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 221440 = 5*y - 16*l, 221440 = 5*y + 5*l. What is the ten thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 times -0.1\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 16*o - 52. Let x be l(4). Calculate the remainder when x\/(-20) + 453\/5 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*9*1\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513085836?\nAnswer: 2, 3, 31, 1379263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*u = -14*u + 488 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18837 + 18836.0839. Round t to 2 decimal places.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*j**2 - 2)*(-5*j + 5*j + 6*j**3) + 2*j**2 - 2*j**2 - j**5 + 0*j**5 + 0*j**5 - 3*j**5 - 10*j**5 + 6*j**5 - 3*j**5.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 321, -5, 0.4, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 232062689.\nAnswer: -23206268.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1684637, -6738562, -15161761, -26954228, -42115957, -60646942, -82547177?\nAnswer: -107816656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*8\/(-12) - 4\/(-4). Let n(y) be the third derivative of -r*y**3 - 1\/3*y**4 - 1\/15*y**6 + 0*y - 1\/105*y**7 + 0 - 2*y**2 - 1\/5*y**5. Factor n(u).\nAnswer: -2*(u + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0566 + -3.0566. Let v = 0.2 + 2.8. Which is the second smallest value? (a) y (b) v (c) -4 (d) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggngnnnnggg. What is prob of sequence ggg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m = -29*m - 38*m + 34. Which is the fourth smallest value? (a) 5 (b) 69 (c) m (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1083111215 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(833)*1 + -4) + 1)**2 + 3.\nAnswer: -196*sqrt(17) + 3384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2701*z - 136920 = -6254*z + 2412*z for z.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 786\/15 + 4\/(-10). Let n = -2410 + 2382. Let m = n + h. Calculate the greatest common divisor of m and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21*2\/(-28))\/(-9). Sort 67, -0.2, 1\/6, 0, s in descending order.\nAnswer: 67, 1\/6, 0, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -932569 (base 11) to base 14.\nAnswer: -2ad64c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388, 979, 1570?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 25924816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/1 - (3 + -3). Let w = -4 - j. Factor -2\/5*g + w + 2\/5*g**2.\nAnswer: 2*g*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23723, -23639, -23555, -23471, -23387?\n\"Answer: 84*q - 23807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 2*n - 54. Give x(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 10*g + 17. Let m be y(-9). Calculate the common denominator of (-3 - (-187)\/m) + -3 and -6\/7.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 12. Suppose 0 = -3*n - 3, -k - 3*n - 22 = -2*n. What is the remainder when (-4)\/14 - (-1)\/(k\/(-174)) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 26634*d**2 - 21*d + 167. Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 216 = -212 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -589\/231 + 27\/11. Which is the smallest value? (a) 0 (b) 0.17 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 3*l**3 - 15*l**3 - 4*l**3.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*m**4 + 3*m**3*x**3 + 3*m**2*x**3 - 2*m**2*x - 11*x**3 wrt m.\nAnswer: -2304*m + 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/15)\/2*3. Let k be i*5\/10 + -2. Are k and 2\/121 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -10*b + 6440. Suppose 5*d = 171 + b. What are the prime factors of d?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + 0\/(-3). Suppose -w + 0*w = g. Let s be 20\/25*(-15)\/(-6). Solve 4*j = 2*o - s, o + j = -w*o - 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18\/179 - -556\/1969. Let v be (2 - (-2 + 1)) + 1. What is m in f*m**v + 0*m**3 + 0*m - 2\/11*m**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 0*a)*(0 + 0 + 1) + 5 + 4*a + 6*a - 6*a + a - a + 2*a.\nAnswer: 4*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 30*d - 151. Give g(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/6 + 947*g**3\/6 + 793*g**2 + 956*g\/3 - 3808\/3 = 0?\nAnswer: -4, -2, 1, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 7*h + 10. Let g be (12\/39)\/(-2) - (-82)\/26. Let z be (-5 + 1)\/(g + -1) - 6. Give m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/45)\/((-2)\/10). Let q be b\/18 - 4494\/(-189). Let x = q + -15. Solve 2*v - 4*v + 13 = -o, 5*o + x = -4*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -242402, -14, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 894 + -555. List the prime factors of w.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -b - b, -i = -4*b + 3. Let v be i + -2*12\/(-8) + 4. Solve 11*g - 6 = v*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -17. Is 0 - f - (-4)\/2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, -14, -8 in decreasing order.\nAnswer: 4, 2, -1, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1600720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2939622?\nAnswer: 2, 3, 7, 69991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1025, 7567, 25327, 59915, 116941, 202015, 320747, 478747?\n\"Answer: 935*x**3 - x**2 + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111445\/2876 + (-37 - 2))\/(1\/(-80)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s + 2. Let r(f) = 187*f - 2. What is -5*o(j) - r(j)?\nAnswer: -207*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01648 rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443047.\nAnswer: 11, 40277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(0*h**4 + h**4 + 0*h**4) - 56*h**2 + 60*h**2 - 4*h**2 + 151*h**4 in the form y*h**2 + s*h**3 + w + b*h + m*h**4 and give m.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13962018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - q + 110, -2*q + 2 = 5*y - 554. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 655046 - -636?\nAnswer: 656015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44200 and 15470.\nAnswer: 309400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 16*w - 17. Let h(c) = 3*c**3 - 3*c**2 + c - 1. Let t be h(2). Is o(t) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4701*s**2 + 55*s + 5. Let a(u) = 7051*u**2 - 88*u - 8. Calculate -5*a(o) - 8*i(o).\nAnswer: 2353*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49193635 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - 3.15. Let i(j) = -j**3 - 18*j**2 + 14*j + 81. Let s be i(-18). Let h = s + 175. Which is the third biggest value? (a) 5 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - 11?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3\/4 - 6093*i**2\/2 + 470691*i\/4 = 0.\nAnswer: 0, 39, 4023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.36 + 174.64. Let q = y + -176.2. Sort 0.5, 3\/2, q in ascending order.\nAnswer: q, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = -f - 3*f, -5*f + 40 = 3*z. Solve -13 = 3*j - 2*j + 5*m, 0 = 2*j - f*m - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 791965?\nAnswer: -11\/791965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 294 - 284 = -5*v, t + 17 = -4*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-144)\/(-42)*(0 - -7). Suppose -3*v - 6 + d = 0. Is (-2)\/4 - (-1593)\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, z: 3}. Give prob of sequence lll.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 - 112*v + 4. Let k be z(-28). Solve 5*o + 25 = -5*l, 4*l = l - k*o - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + c + 1. Let r = -17 - -21. Let z be 454*(-4)\/40 + r\/10. Let b = z - -44. Calculate s(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-8)*8\/6. Suppose -8 = -w*i - 0. Solve 5*n + i*h + 15 = -2, h = -3*n - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000633 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 1\/4, 3, -1\/32, 5\/3, 4\/7 in descending order.\nAnswer: 120, 3, 5\/3, 4\/7, 1\/4, -1\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29671419 to the nearest integer?\nAnswer: 5447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60*(-2 + 3)*15\/150. Suppose -4 = -2*a - 0. Let p be (0*(-2)\/(-4))\/2. Solve p = h*c - a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 628047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + -1.1. Let c = m + 2.200051. What is c rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5*v - 30 = 0, 3*v + 2*v = 4*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 8*s + 13. Let a be b(-9). Let i be 2 + (-3 - -3)\/a. Let o(j) = -9*j + 2. Give o(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.4 - -28. Let w = l - 3. Are w and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 + 7 + (7 - 7) + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.3, -2\/13, 0, 66, 0.05, 2\/7?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 6:42 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 120, 478, 1176, 2328, 4048?\nAnswer: 6450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.0392t in milligrams?\nAnswer: 494039200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/21)\/(-5*(-24)\/210).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -5, 5\/144, 766?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 8, -1299 in ascending order.\nAnswer: -1299, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 27716593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*f*l**2*v**2 + 141*f*l - 2*f*v**2 - 385*l**2*v**2 - 2*l*v**2 - v wrt l.\nAnswer: 122*f*v**2 - 770*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*n - 6, 0 = 5*k - 4*n - 58. Solve 3*z - 15 = 2*z + 2*l, 5*z + 3*l = k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) + 14\/(-18). Let r = -78692\/35 - -11236\/5. Is r greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 61 times 1167?\nAnswer: 71187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 3*j + 6. What is m(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0.049, 1874416, 0.3?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -14. Let l = t + 8. Suppose l*k = 4*k - 12800000. What is k rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56868.44 + 3.\nAnswer: 56871.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -445174?\nAnswer: 445175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t + 8. Let m be p(-7). Suppose 2*u - 6*u = -8. Let h(c) = 11*c - 3. Let r be h(u). Calculate the highest common factor of m and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -5*g + 15, t + 0*t + g - 4 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - (-19 + 58)) + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 356.4167 millennia?\nAnswer: 3564.167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 18) + 4 - ((4 - 3) + 0)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40382, -40174, -39966?\n\"Answer: 208*l - 40590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 191 = 5*o, 8*o - 4*o - 146 = -r. Suppose 10*z = 4097 - o. Which is greater: z or 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -148, -2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, c: 1, s: 1, h: 1, d: 3, w: 2}. Give prob of sequence shdc.\nAnswer: 1\/14560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 38 = -3*w, 0 = 5*w - 34*g + 38*g + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - g**3 + 4)*(2*g - 1 + 1 + (4*g - 6*g + 3*g)*(0 + 3 - 2)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*y + 8 = 0, -3*o - 2*y = -5 + 3. Let g(x) = 7*x - o*x - 2*x. Let q(n) = 38*n**2 + 37*n**2 - 74*n**2. Calculate g(q(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/132 - (-10)\/55. Let c = -4 + 1. What is the third biggest value in c, t, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*m + 39 = 0, -2*l = 723*m - 728*m + 65 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5781 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/30*2349\/(-156600)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + 4*s - 5 + 4 - 4*s as g*s**2 + o*s + i*s**3 + p and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*w - 6. Let f be (w + 1 + -3)\/(-2). Let g = 38\/3 + -260\/21. Which is bigger: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57, 50, 39, 24, 5?\n\"Answer: -2*z**2 - z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i + 2*a + 32 = 0, 0 = -2*i + a + 28. Suppose -3*p + i = p. Let o be 8 - (4 + -2) - 2. Solve -r = -p*r - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*l**2*t**2*x - 18*l**2*t**2 - 2*l*x + 2*t**2*x + 43*t**2 wrt l.\nAnswer: -14*l*t**2*x - 36*l*t**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*n**2 - 71*n**2 + 302*n**2 - 74*n**2 - 8*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by -1403\nAnswer: 116\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 6 = 5*i. Suppose 5 = -2*n - l, 0 = 5*n - 4*l - 17 - i. Solve n = 2*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*t**5 - 411*t**4 - 39*t**2 + t + 53?\nAnswer: 360*t**2 - 9864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*w + w - 80 = 0, -48 = -3*r - 5*w. Is 16 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5269682*u = 5269643*u - 1872 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/7 + 62267*o**2\/7 + 17791*o + 62269\/7 = 0.\nAnswer: -1, 62269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**2 - 206*r + 273. Give s(19).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 22, 114, 1\/4, -3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1618*h - 2 + 2390*h + 204*h + 2)*(-h**2 - h**2 + 7*h + 0*h**2).\nAnswer: -8424*h**3 + 29484*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 46728231*h + 46728228.\nAnswer: 3*(h + 1)*(h + 15576076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236 and 13967542?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 2*p = 5*s - 2, -1 = p. Find h, given that -1\/3*h**2 + s + 2\/3*h - 1\/3*h**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 1:46 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 6*d - 2162. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 1. Let t be d(2). Find the second derivative of -j + t*j + 4*j**3 - 2*j - 7*j wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.7 + -8.4. Let q = -6 + x. Let u = 0.4 - 0.4. Which is the closest to u? (a) 3 (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p + 50 = -2*q, -p + q = -13. Let d(s) = -294 + 154 + 153 + p*s. What are the prime factors of d(16)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55194860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000064882117 to 7 decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2325152422?\nAnswer: 2, 10501, 110711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -567 + 2124. List the prime factors of j.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*1\/10 - (-1 + 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 1\/20*o**5 + 1\/4*o**4 + 2*o + 1\/2*o**2 + 0 + 1\/2*o**3. What is u in k(u) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -40 (b) -0.7 (c) 0 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a - a + 0*a - a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13526518552 and 21.2?\nAnswer: 13526518530.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-9)*6)\/((-52)\/12)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*l - 19 = -0*x, -2*x - 24 = 4*l. Let g(z) = -2*z**2 - 4*z - 2. Let i be g(x). Sort i, 2\/9, -3.\nAnswer: -3, i, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(1*-3)\/(525\/(-14))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52421615 and 94358907?\nAnswer: 471794535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + 6*sqrt(27) + sqrt(3) + sqrt(3))*-3 - (-1 + 3*sqrt(3)*2 + (sqrt(3) - -2*(sqrt(3) + sqrt(12)\/sqrt(4))))) + -3)**2.\nAnswer: 1562*sqrt(3) + 15244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/10)\/(t\/(t**(-4\/7)\/t)))\/(t**3\/(t**(2\/9)\/t))*t**(-1\/5)*(t\/t**0*t)\/t*t*(t**(-1\/4))**(16\/5) assuming t is positive.\nAnswer: t**(-3433\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28551 + -28551.94164. What is u rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 27 = -2*c. Let y = c + -5. Solve y*o + 5*p = -4 - 24, 0 = 4*o - 3*p - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 2*s**4 - 3*s**4 + (10*s**2 + 5*s**2 - 9*s**2)*(2*s**2 - 3*s**2 - 2*s**2) + (s - 3*s + s)*(s**3 - 1 + 1).\nAnswer: -21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 11*v - 95760 = 0. Suppose -2234*i = -2227*i - v. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1050 and 33981850?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 88 - 104 = 0. Let j(a) = a**2 + 16*a + 50. Let v be j(h). Sort -4, -5, v.\nAnswer: -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 41*b**4\/8 + b**3\/3 - b**2. Let d be a(-1). Let n = -83 - d. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p**2\/11 - 552*p - 4056\/11.\nAnswer: 6*(p - 338)*(3*p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, -455, -602, -647, -554?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 7 = 42. Suppose 118 = t*f - 106. Suppose 0*w + 96 = 2*w. What is the highest common factor of w and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 - 26*t - 26. Let p(j) = -2*j**2 - 16*j - 16. Let q(v) = 13*p(v) - 8*z(v). Let a(b) = -2*b + b**2 + 2*b + 17. Calculate a(q(w)).\nAnswer: 4*w**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.789 and 5.\nAnswer: -3.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5852 less than or equal to -23403\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {g: 9, n: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7084 and 5.\nAnswer: 35420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*z + 116 = -3*t + t, -25*t - 22*t - 5*z = 143 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*u + 4, 2*m + 0*m + 16 = 2*u. Calculate the remainder when 7 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2)*y)**22\/(y**3\/y)**(1\/14) assuming y is positive.\nAnswer: y**(615\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 4 + 8)*(2 + -1). Suppose 13 = 3*r - c. Solve -j + 0*k + 2*k = 4, 0 = 2*j - r*k + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.296893114 rounded to 3 dps?\nAnswer: -3.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 862326*c. Let h(q) = 2*q**2 - 7. Calculate d(h(k)).\nAnswer: 1724652*k**2 - 6036282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {g: 1, p: 1, v: 1, l: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211210210101 - -221222?\nAnswer: 211211202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1420995 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q. Let c(a) = 4*a. Let v(g) = 4*c(g) - 6*w(g). Let b(t) = 5*t. Determine b(v(l)).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3191107138 to 5 decimal places.\nAnswer: -0.31911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4802, -4, -311.\nAnswer: -4802, -311, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/h**(9\/2))**(2\/35) assuming h is positive.\nAnswer: h**(-23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 2764519611?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12 and 93\/1472.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1524653, 1524658, 1524675, 1524710, 1524769?\n\"Answer: c**3 - 2*c + 1524654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.115 - -1. Let a = -0.1197 - u. What is a rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25257449089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.283277 from 68664.\nAnswer: 68665.283277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-10 + 4 + 24 + (6 - 21 - 4))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11022329293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (12 + -6 + (-4 - -18) - 12).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*p - 0*p, 0 = -5*r - 3*p - 107. Which is smaller: r or -20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3141 is divided by 3047?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139736 - -419287167.\nAnswer: 419426903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -148, -168, -204, -262, -348, -468, -628?\n\"Answer: -a**3 - 2*a**2 - 7*a - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wutttuxxwtxwktwiux. What is prob of sequence tw?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 28081 + 2*n**3 + 0*n**2 + 28081.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23089, -45834, -68579?\n\"Answer: -22745*g - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -5*w**3\/6 + 11*w**2\/2 + 7*w. Let l(x) = 9*x - 22. Let n(t) = 5*i(t) + 3*l(t). Does 11 divide n(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62398 is divided by 390?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -25 + (12 - 6) + 84308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83976031465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334905 divided by -6.\nAnswer: -111635\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u + 12844 = -39*u + 2*t, -t + 3209 = u. Does 27 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6439264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 976714 to the nearest one thousand.\nAnswer: 977000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffffffzfffff. Give prob of sequence zff.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1bb - 10?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20001101 (base 3) in base 14?\nAnswer: -1871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.3239626s to days.\nAnswer: 0.0000616199375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 584517 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, -4, -5 in ascending order.\nAnswer: -207, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18232.9 + -18233. Let o = 0.05 - 0.02. What is the third smallest value in -5, o, v, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0.8. Let x = 7896 - 7895.5. Which is the closest to -2? (a) x (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.6 (b) 0.2 (c) -3\/4 (d) 0.3 (e) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654226 is divided by 85?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 6. Suppose 0 = -3*g + 11 + o. Are 2\/5 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (1 - 0))*9. Suppose -b*i + 18 = -7*i. Suppose -4*p + 22 + 6 = 0. Solve -w - 5*h + i = 0, p*w + 2*h - 14 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 147979?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-62 - -72) + (-7 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/22 - 36*w**2\/11 + 1568. Find j such that a(j) = 0.\nAnswer: -6, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(3*(-4)\/6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from mszvuqmvmuzq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3001, -6, -0.4, -39 in ascending order.\nAnswer: -39, -6, -0.4, 3001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347916, 695826, 1043724, 1391604, 1739460?\nAnswer: 2087286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2237 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.44 and 0.138.\nAnswer: 0.06072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 65*t**2 + 22*t - 199. Determine r(-32).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*o = 37, 5*t + 5 = -2943*o + 2938*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -16.9. Let a = -90 + 91. Sort 1\/4, a, z in ascending order.\nAnswer: z, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -182013?\nAnswer: -182013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5)*2 - 143\/(-495). What is the second biggest value in -0.1, o, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 31*q - 66 = 0. Suppose -2*v + 0*v + 10 = 0. Suppose -q*h = -2*h - v. Sort 7, h, 3 in increasing order.\nAnswer: 3, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 0.58, 0.1 in decreasing order.\nAnswer: 0.58, 0.1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -2. Let p = 2.8 + -1.8. Which is the second smallest value? (a) -1\/4 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2135 (base 12) to base 11.\nAnswer: -2810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5387661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -13 - 17. Suppose -6 = -4*j + q. Differentiate 0 + 2 + j*b**4 + 0 + 1 with respect to b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/14 - 3\/(-6). Is -1\/8 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -145b2 + 9?\nAnswer: -145a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(546\/(-465852)) + (-4)\/(-14). Let q = 19805 - r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**13*m))\/m**(2\/3))**(-18) assuming m is positive.\nAnswer: m**246","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.022*-0.1\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*q - 2*q - 23 = 0, -5*k + 2*q + 26 = 0. Solve -n - 26 + 10 = -4*f, 0 = k*n - f + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w**2 - w - 3. Let y(t) = -16*t**2 - 2*t - 7. Determine -7*p(g) + 3*y(g).\nAnswer: 8*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1585*o - 1121. Determine u(-1).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 75?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**3 - 35*r**2 + 12?\nAnswer: -3*r**2 - 70*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3648 = 51*r + 18*r. Solve k = 17*k - r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2358340)\/(-65) - 3 - (-40)\/(-260)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-6)\/9)\/((-4)\/564)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2))**(-4\/23)\/(t**(-1)\/t)**(5\/12) assuming t is positive.\nAnswer: t**(79\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -191473.773 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -13 - (0 + 0) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2187662 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/(4 + (264\/(-136) - 2)). Solve 89 = 39*y + c for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**3 + 3*u + 0 - 1\/2*u**2 - 1\/4*u**5 + 0*u**4. What is the derivative of j(f) wrt f?\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -50*b**3 - 3*b + 3. Determine z(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1\/(-2))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-696500)\/(-40)*4\/80. Let u = -872 + k. Find the common denominator of u and -1\/129.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -18. Let i = -15 + c. Let j = -2 + 1. What is the nearest to i in j, 2\/11, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*z - 17. Suppose 0*h - h = -29. Suppose -2 + 0 = 4*m - 2*x, 3*m + h = -4*x. Is m <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:11 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 1. Let y = 39 + -39. Suppose 2*j = -0*w + 2*w + 20, -4*j - 5*w + 31 = y. Suppose 2*o - 8 = 5*s, s - 2*o + j - 1 = 0. Calculate a(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4\/14 + 52*s**3\/21 + 55*s**2\/7 + 8*s - 38. Factor c(j).\nAnswer: -2*(j - 28)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 36.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n - 32. Suppose 0 = -2*t + 3*b - 61, -5*t + t = -3*b + 137. What is the units digit of j(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - l - 10132 = 0. Let g = -298 - l. Suppose 0 = -m + 1, -4*o + 5*m - 2 = 3. Which is the closest to g? (a) 3\/7 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f - 3. Let v be h(3). Suppose -v = -q - 2*q. Suppose 0 = -3*m + 6*m - 5*b - 10, -b - 46 = -5*m. Solve -3*g - m = q*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1573))*-5.\nAnswer: -55*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spx when three letters picked without replacement from {s: 3, p: 3, i: 1, x: 7}.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhsdhdhtyhskhh. What is prob of sequence tk?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -7*g + 308. Let o = g + 151. Let c(l) = 5*l - 1. Give c(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/232 and -71\/156?\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143 - 134. Let p = -52 + 79. Calculate the highest common factor of v and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8041489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 49 + 47. Suppose m + 134 = 5*c. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53758 + -dc?\nAnswer: 5365a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 38 = 14*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12927729?\nAnswer: 3, 4309243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1088483 or -1088486?\nAnswer: -1088483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5580 and 16068?\nAnswer: 7471620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) 2\/7 (c) -131738 (d) -3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219998 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -10. Suppose s*b - 5 - 19 = 0. What is the greatest common factor of b and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - o - 3. Let a(q) = q**3 - 10*q**2 - 13*q + 18. Let z be a(11). Determine k(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*b + 3*b, -2*b - 4 = -3*h. Determine c so that h + 2\/9*c**5 + 2\/9*c**3 - 4\/9*c**4 + 0*c + 0*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3205 and 2865?\nAnswer: 1836465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 51, 100, 165, 246?\n\"Answer: 8*x**2 + 9*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13990 is divided by 538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 626*h - 565*h - 488 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 4*c. Let d(h) = 4*h. Let x be d(1). Let k be m(x). Solve -4*w + 2*n + 26 = k, w - 10 = -4*w - 5*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrrrs. What is prob of sequence rssr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -119*t + 212. Give q(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21594783 + -585.\nAnswer: -21595368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208736?\nAnswer: 2, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -549*n - 857. Let h(k) = 541*k + 855. Let a(m) = -4*d(m) - 5*h(m). Differentiate a(w) wrt w.\nAnswer: -509","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.69 + 0.7. Let z = g + -5.01. Let b = 7 + z. Sort b, -5, -0.5 in ascending order.\nAnswer: -5, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 4, -1617, -7.\nAnswer: -1617, -7, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218 + -326. Let d = -106 - j. Suppose -5*b + 245 = -d*a + 4*a, -b + 76 = -5*a. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6)*1*4. Let q be a*(-2)\/8*0. Solve q*n = 4*n + 2*t + 14, 0 = 4*n - 5*t + 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((5 - 2) + 0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2748 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(25\/25)\/(1*8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 586.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4318*i*u**3 - 567*i*u**2 + 543*i - 21*u**3 wrt u.\nAnswer: -25908*i - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4 + 493*a**3\/3 - 3922*a**2\/3 - 83840*a\/3 - 6144 = 0?\nAnswer: -9, -2\/9, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((-4)\/(-912)*((-11 - -16) + -8))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let t be a*(2 + 2 + -3). Calculate the lowest common multiple of 11 and 8 + t + 1 + -1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from evettxtttxtx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250 - j**3 - 2*j - 467 + 481 + 3*j.\nAnswer: -j**3 + j + 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -88 (b) 9 (c) -0.0144 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45048)\/20)\/(6\/(-15)). Suppose -j = -3*d + 4*j + 8450, -2*d = -j - z. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 4*k**2 - 8*k - 4. Let t be p(-5). Suppose 0 = t*w - 14*w + 138. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1870895?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 259883313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, 5.\nAnswer: -20, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 40834\nAnswer: 122502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67 and 681727.\nAnswer: 45675709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3*63\/270*-2\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5 + 4*c**2 - 4 + c + 2*c**3 - 5*c**2. Give i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 2, -4, 1, 28, 5, -5 in descending order.\nAnswer: 46, 28, 5, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 371 + -368. What is the fourth smallest value in b, -3, -5, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 2*h - 3*h. Suppose 0 = 4*f - 11 + 3, 0 = t + 5*f - 166. Let z = t - 155. Determine l(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*i + 2845 + 3224 = -7440 - 215 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 18*l**2 + 5*l + 1. Let q be n(4). Let m = q - 214. Suppose -z = -3, 5*g - m = -5*z + 25. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145660 (base 9) to base 7\nAnswer: 521604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3634149 divided by 3.\nAnswer: 1211383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85097\/12 - -7087. Let r(j) = -j**2 - 6*j - 2. Let y be r(-6). What is the common denominator of (y + 3)*1\/(-10) and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let b(s) = s - 2. Let o = -23 - -12. Let p(q) = q**2 + 6*q - 11. Let f(u) = o*b(u) + t*p(u). What is the second derivative of f(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77611 or -77409?\nAnswer: -77611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Let g = 53 + v. Let i = g + -52.99973. What is i rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057957129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182874748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 795 - 717. Which is the second smallest value? (a) -5 (b) r (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:47 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 72 - 2 - 39. Let q(m) = m. Determine q(n(x)).\nAnswer: 2*x + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, h: 2, i: 2, e: 2}. Give prob of picking 1 e, 2 h, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -50, -49, -48, -47, -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276333 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfw when three letters picked without replacement from wiffffffwfirfrn?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 29*l + 2160 = 0. Let q = l + -313. What are the prime factors of q?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {z: 13, a: 5}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o + 77*o + 1 - 37*o - 1.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 + z**4\/12 + z**3\/6 + 21*z**2. What is m(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 18*q + 2*q)*(q**2 - q**2 + 7*q**3).\nAnswer: -147*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37 (b) 4\/5 (c) -1\/4 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 5 = 1. Sort j, -3, 4, -4 in ascending order.\nAnswer: -4, -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 10. Let w(g) = -2*g - 11. Calculate -4*p(t) - 5*w(t).\nAnswer: -2*t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/1*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21025*f**2 - 2317680*f + 63872064.\nAnswer: (145*f - 7992)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -862997, -1726131, -2589265?\n\"Answer: -863134*n + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14476491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 6. Suppose -3*z = 5*v - 25, 21 = 4*v - 5*z + 1. Let o be t(v). Suppose 1055 = o*w - 11*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5539571 and 65406.\nAnswer: -5474165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-10) - (-55)\/25. What is the second derivative of 14*a - 3*a**r + 0 - 20*a + 0 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -882552*v**3 + 2997878?\nAnswer: -2647656*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4040434?\nAnswer: 2, 743, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 29 = -5*l. Suppose -u - l*g = -27, 0 = -2*u + 3*g - 5 - 6. Does 18 divide (-134 + -27)\/(2*(-1)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - d - 1. Let w be 2\/(-7) + (-960)\/(-28). Suppose 2 = -3*m - w. Let l = -8 - m. Let t(k) = 2*k**2 - 4*k - 4. Calculate l*h(b) - t(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66\/(-27))\/(-11) - 22579\/(-9). Let y = t - -453. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4 + 160*n**3 - 555*n**2 - 160*n + 560 = 0.\nAnswer: -1, 1, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1934 divided by -7839\nAnswer: 1934\/7839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 4*w**2 + 8*w - 10. Let z be y(3). Suppose z*i = 173 + 292. Does 31 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -473 (b) 1 (c) 0 (d) 2\/5 (e) -0.2 (f) -3 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, 5, 372, 1059, 2174, 3825, 6120?\nAnswer: 9167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 + 0 - (-6)\/14. What is the second smallest value in -1\/4, -1, n, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59598 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 782067.821 to the nearest 10000.\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/5 - -31\/10. Suppose -74 + 119 = 5*s. Let m be s\/3 + 55\/(-20). What is the nearest to m in 3, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 409509, 409505, 409501?\n\"Answer: -4*d + 409513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -78. Suppose 4 = 4*j, -9*f + c*f = -5*j + 33. Let w(z) = -z**3 - 7*z**2 - z - 7. Determine w(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 227600336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-180)\/(-2) + 1)\/(-1). Let z be l\/(-2) - (-4)\/(-8). Suppose 0 = -2*t + t + z. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -16*a**2 + 5*a - 5. Let h(f) = 9*f**2 - 2*f + 2. Let y(j) = 4*c(j) + 7*h(j). Calculate y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*k - 3*k + 552*k**2 + k - 273*k**2 - 270*k**2.\nAnswer: 9*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1720*l*q**3 + 5*l*q**2 + 2*l*q - 3*q**3 + 110*q**2 - 2*q - 666444 wrt q?\nAnswer: 10320*l*q + 10*l - 18*q + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 14000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1.6, -1\/4, 10, 2\/9 in descending order.\nAnswer: 10, 1.6, 2\/9, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -12. What is the closest to 0 in 2, -2\/13, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 440 - 453. Let r(d) = 2*d**2 + 2*d + 2. Let o(u) = 8*u**2 + 8*u + 8. Let b(q) = -2*q**2 - 2*q - 2. Let l(m) = 18*b(m) + 4*o(m). What is f*r(v) - 6*l(v)?\nAnswer: -2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*1 + sqrt(63))\/sqrt(9)*-2.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 335 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464464 and 5720?\nAnswer: 2322320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937 = -4*q - 93*z - 366, 4*q - 286 = 2*z for q.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 = -3*k - 2*u, -5*k - 61 + 727 = -4*u. Let y = k - 129. Solve y*t + 4*v = -v - 30, -3*t + 3*v = 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1238 = 11*d + 1106 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6*-4)\/(-8)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1802214, 1802167, 1802120, 1802073?\n\"Answer: -47*n + 1802261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26195 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (0 - 1 - 0). Let c be (m - -1)\/(4 - 3). Let p be (-5 + 4)\/(c\/(-2)). Solve p*w = y + 5*w + 4, 0 = -4*y - w - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -644*b - 10932. Let h be d(-17). Suppose -4*m - 2*l = -420, -2*l + 516 = 5*m - 4*l. Calculate the highest common factor of m and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/11 (b) 142\/3 (c) -1 (d) 2 (e) 61.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 434 + -436. What is the nearest to q in 4, -0.5, -4\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 1288 = -704. Calculate the highest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 26. Suppose -f + 2*f = v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 706?\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 92 - -4?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047681 > 2047671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -298 - -307. Let c be 0 - (-1 + u\/10). Determine z, given that -1\/10*z**3 - 3\/10*z - 1\/2*z**2 + 0 + c*z**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(832) + -1)*-1 + sqrt(832))**2 - -6*(2 + sqrt(832)) - 3*(-3*sqrt(832)*-1 - sqrt(832) - (-3 + sqrt(832) + 1)))*3.\nAnswer: 18 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 65157226.2 + 467167\nAnswer: 65624393.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 36 = -8. Suppose -9*y + t*y + 4 = 0. Find the third derivative of -5*f**2 - 6*f**4 + 0*f**2 + 3*f**y wrt f.\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2356 - -2355)\/((2\/4)\/((-87)\/6)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/4 - 4873*m**3\/4 + 207618*m**2 + 845099*m + 849976 = 0 for m.\nAnswer: -2, 181, 4696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 - (46 - (71 + -28) - (6 - -2)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8\/(-6))*44*9\/6600.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 - 1398670620*r - 97813975162559220 = 0.\nAnswer: -139867062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:06 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:59 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 0 = 3*j + 3*a, -24 = 4*j - 4*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 49*g**5\/120 + 35*g**4\/24 - 46*g**3\/3 + 12*g**2 + 2. Let l(j) be the first derivative of h(j). Differentiate l(a) wrt a.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 1084556*o**2 - 2169096*o.\nAnswer: -4*o*(o + 2)*(o + 271137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*o - 264*o - 87*o - 633*o to s + p*o and give p.\nAnswer: -1061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -827, -5, 0, -3, 3.\nAnswer: -827, -5, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 20 = -9*j. Calculate the greatest common factor of 16 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - -0.4. Let h be 20\/119 - (-4)\/(-14). Let m be (-2)\/(-14)*(-546)\/234. Which is the third smallest value? (a) h (b) -0.7 (c) m (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2218\/2*(-3)\/(-27). Let n = a - 124. Calculate the common denominator of n and -29\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.27 - -5.4. Let j = -0.97 + n. Which is greater: j or -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -410, 7\/19, 5, -3\/2.\nAnswer: -410, -3\/2, 7\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4751 times 0.4\nAnswer: 1900.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**4 - 4*b - 6 + 3*b + 3 - 3*b**2. Let n(u) = -u**4 - u - 1. Let c(f) = -3*n(f) + w(f). Suppose c(p) = 0. What is p?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134501330 (base 7) in base 12?\nAnswer: -2b3b178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + -1)*-1 + -1. Suppose 4*m = j - 23, -u*m - 24 = -4*j + j. Suppose -c = j*c - 80. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*y = 7578 - 12714 - 11454. Calculate the remainder when 2446 is divided by y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) 37 (c) -2\/7 (d) 2825 (e) -5 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (9 + 1 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4143701ml?\nAnswer: 0.0004143701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -289.769 - -290. Let r = m + -0.021. Let g = r + -0.01. Is 0.1 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6353889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfy when three letters picked without replacement from {y: 6, f: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199 - -320. Let l = -315672 + 1578362\/5. Is l less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1022 from -11.94.\nAnswer: -11.8378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*s + 15, -9 = -4*h - 2*s + 3*s. Suppose -3 = -h*q + 2*q. Solve 2*l = 2*u + 8, -u + 8 = -q*u - 5*l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g**2. Let s(p) be the first derivative of 0*p**2 - 1\/3*p**3 + 0*p - 11. Determine i(s(z)).\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 28 + 78. Suppose -2*y + 43 + 17 = 0. Let z = j - y. What is the greatest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**8\/588 + 6*k**7\/245 + 373*k**2. Solve d(l) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 - 2892*x - 4693. Calculate w(580).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/685, 2\/5, -656\/3, 1\/9, 0.5.\nAnswer: -656\/3, -1\/685, 1\/9, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*y - 87 = f, -3*f + 5*y = 60. Suppose -2*j - 59 = -5*b, 56 = -4*j + 3*b - 27. Is j greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 58*i + 43, 3*g - 22324 = 2*i - 22307 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1626 times 1.6\nAnswer: -2601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -4*s - 53 + 8, -4*s = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, y: 1, a: 2, k: 1}. Give prob of sequence ja.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2530)\/315 - 1) + -4 - 5\/45. What is the closest to f in 0, 1, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.2, -0.2, 2, 0.01, 2\/21 in decreasing order.\nAnswer: 12, 2, 0.2, 2\/21, 0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1721, 1454, 1165, 842, 473, 46?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.1 and 8668.56.\nAnswer: -278260.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1207356, -2414728, -3622090, -4829436, -6036760, -7244056, -8451318, -9658540?\n\"Answer: i**3 - i**2 - 1207376*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -4. Let a = -8 - g. Let o be (2 - 6)*15\/a. What is the highest common factor of 10 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -53*v - 2. Calculate a(1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*y - 6, -3*w = -0*w - 4*y - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v + 35*v + 17*v**3 + 16*v - 16*v + 44*v.\nAnswer: 17*v**3 + 116*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -327\/1120822 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - 131*p - 124*p - 3*p**3 + 255*p + 67*p**2.\nAnswer: -3*p**3 + 67*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(0*b**2 - b**2 + 2*b**2) - 3*b**2 + 5*b**2 - 3*b**2 + 220*b**2 + 233*b**2 - 373*b**2 + (1 - 2*b - 1)*(-2*b - 2*b + 5*b).\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10277014199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 641*b**4\/12 - 1341*b**2 + 2968*b. What is the first derivative of x(u) wrt u?\nAnswer: 1282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.622908mg to grams.\nAnswer: 0.007622908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7958, -10224, -12490, -14756, -17022, -19288?\nAnswer: -21554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - l = -2*o, 0 = 4*l + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 + (-22)\/(-8). Let z = 154.78 + -155. What is the second biggest value in u, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*b - 4078 = 0, -90*g - 10209 = -95*g - 2*b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -51\/7 (c) -15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 2*l**2 + 2*l - 5. Let m(f) = -f**3 - f**2 - f + 3. Determine -3*i(q) - 5*m(q).\nAnswer: -q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 - 52 + 8*l)*(2*l + l - l) + (-3 + 7 - 3)*(-1149*l**2 - 11 + 570*l**2 + 570*l**2) to v*l + g*l**2 + m and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:18 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 25040.\nAnswer: -1502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*d = 708, f + 5*d = d + 182. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + aa?\nAnswer: af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293, 1, -2, 5, 0 in decreasing order.\nAnswer: 5, 1, 0, -2, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(242) - (-5 + sqrt(242)*3)) + sqrt(242) - ((sqrt(242) + 3)**2 + 0)).\nAnswer: 77*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/132 and 58\/1023.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 5039870?\nAnswer: -29\/5039870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -260, -584, -1050, -1664, -2432?\nAnswer: -3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1426 = 12*y + 1366 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15145?\nAnswer: 5, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110190120 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 370279 not equal to -0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/88 + 15\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*u - 76 + 130 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*l - 2*g, -l - 5*g - 28 = -4*l. What is the common denominator of -65\/4 and -1*((2 - 0) + (-77)\/l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198966246 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -106. Let k = n - 31. Let y = -1364 - -1395. Calculate the remainder when y is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*(-209)\/(-10450)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 219491?\nAnswer: 3\/219491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + n)*((-4*n**2 - 2*n**2 + 7*n**2)*(4 - 4 + 2) - 5*n**2 + 0*n**2 + 6*n**2)*(n - n - n).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 56*c - 47307. Suppose -2*f + g = -4*g - c, 0 = f - 2*g - 605. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7520810 - 225597391\/30. Let a = x - 4574\/5. Find the common denominator of -22\/9 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180688106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, n: 4, o: 1, f: 3, u: 2}. Give prob of sequence nucu.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 17\/5)\/((-54)\/(-30)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70 + 17?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -2.1 in increasing order.\nAnswer: -18, -2.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.39 and 1131.\nAnswer: 1131.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) -0.01 (b) -5469 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*q + 73*q + 30. Calculate the highest common factor of q and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 1631 + 1482 = 3*x - 5*x, 4*x = n + 37 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -109\/4, 2, -34 in descending order.\nAnswer: 2, -2\/3, -109\/4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a - 319 - 21. Is 3 a factor of 663\/a*2\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - d**2 - d + 3. Let s be m(0). Solve -1\/5*r**s + 1\/5 - 3\/5*r + 3\/5*r**2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.4 (b) 5 (c) 401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 0.123.\nAnswer: -0.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - p**4 + p**4 + (-53*p**3 - 13043*p + 13043*p)*(p**2 - p**2 - 2*p**2).\nAnswer: 105*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4930, 4928, 4926, 4924, 4922, 4920?\nAnswer: 4918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3893.898 centuries to months.\nAnswer: 4672677.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 take away 0.219?\nAnswer: 778.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1641 - -979. Let g = 702 + c. What is the remainder when 74 is divided by g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73164260 and 1690?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-234)\/27 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*(sqrt(35) - 2*sqrt(35)))\/sqrt(5))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-125)\/10)\/5)\/(3*4\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:04 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15283, 59769, 133457, 236347, 368439, 529733, 720229?\nAnswer: 939927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + w + 5*s - 5 = 0, -2*s - 12 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p - 4*c + 2444, -4*p + 2442 = 5*c. Calculate the remainder when p is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1208172 and 342?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 1209572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y*y**(-2\/3)))**(-1\/3))**(4\/3))**(-6\/29) assuming y is positive.\nAnswer: y**(40\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -1\/6, -1\/1266?\nAnswer: -1\/1266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + -10010?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/12 (c) 3\/8 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + l = 366. Let f = l - -64. Let j be (1\/(-3))\/((-1)\/f). Calculate the highest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 10, 0 in descending order.\nAnswer: 10, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300.075 days in microseconds?\nAnswer: 198726480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -76. Let s be (135\/10)\/(1\/2). Let p be (-15)\/(-2) + -4 - (-9)\/6. Solve p*q = z - s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1212.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200 - -196. Which is the fourth biggest value? (a) 1\/5 (b) n (c) -31\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**2 - t - 14. Let w(x) = 7*x**2 + x + 13. Determine 4*p(u) + 5*w(u).\nAnswer: 3*u**2 + u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81941 and 6499.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9273 - -0.046?\nAnswer: -9272.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8296*g + 8264*g - 1504 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26 + 23*w**3 + 25 + 2*w**3 + 47*w - w**5 wrt w.\nAnswer: -20*w**3 + 150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4779 - 4775. Is b at most as big as -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 50. Suppose -15 = 5*y, d*y + 176 = 8*p - 3*p. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000 - -1?\nAnswer: -10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 86*d**2 - 21*d - 1812. What is w(-86)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) 0.3 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 147*m + 36. Determine g(-15).\nAnswer: 2016","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - b. Let t(q) be the second derivative of -q**4\/3 + 4*q**3\/3 + 2*q**2 + 84*q - 1. Calculate 8*n(h) + t(h).\nAnswer: 4*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k - 207*k = 7250 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7853112 centuries in years?\nAnswer: 78.53112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t - 72. Solve -4*n + 6 = -2*n + 4*i, 0 = -n + 5*i - t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1142, -3648.\nAnswer: -3648, -1142, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45\/101 - 1527\/707. What is the common denominator of -99\/740 and g?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18908, -18904, -18896, -18884?\nAnswer: -18868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, -585, -504, -391, -246?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, -2, -20, -38, -56?\n\"Answer: -18*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30745296.\nAnswer: 2, 3, 23, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2852827 is divided by 3845.\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2309 + -2363. What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-35 - 3)) + (-59 - 74 - -145).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x - 8. Suppose 0*t - 2 = -2*t. Suppose -4*g - 8 = n + t, -3*n = -4*g + 11. Is x greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5341 and 3.\nAnswer: -16023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*p - 16 - 13, -2*v + 2*p - 6 = 0. Let a = v - -7. Factor -3*c**a + 3*c**3 - 4*c + 4*c + 0*c**3.\nAnswer: 3*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 4*f - l - 25, -18*f - 3*l - 108 = -14*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 + -13?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n. Let p be q(0). Solve 3*o - 5*o = p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 15. Suppose 4*d = -2*i - y, -8 = 2*i - 0*i - 5*d. Suppose -o + 4 = -0*o. Put -2, i, o in decreasing order.\nAnswer: o, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19 = -2*w - 49, -3*y + 5*w + 203 = 0. Let d = y - 37. What is the remainder when (-2)\/(2\/1)*(-1130)\/10 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131996 - 75842. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:07 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*j + 15, 0 = -0*l + 4*l - 5*j + 25. Suppose -4*f + 19 + 1 = l. Solve 10 = -k + f*g, 2*k = 6*k - g + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 + 2*s**3 + 29*s**2 - 9*s**2.\nAnswer: -s**3 + 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009845527372 to 6 decimal places.\nAnswer: 0.009846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-69) + -15 + 8398\/299.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 34 = k - 10, 3*k = 0. Let m(h) = -3*h**2 + 118*h - 44. Is 20 a factor of m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313234113 (base 5) in base 6?\nAnswer: 43552045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11 - 1 = 0. Suppose -5*b - 5*t = -165, n*t - 45 = -b - t. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, 19, 46, 14, 1 in decreasing order.\nAnswer: 46, 19, 14, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -41072.3?\nAnswer: 123216.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/2518167 - 12544853\/57895177497. Let f = d + -3148717\/4828110. What is the common denominator of f and 63\/4?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1244 + 222?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-20) - 27\/(-20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 1 + 68\/6. Suppose -5*n = 2*z - 28 - 10, -16 = -4*z. Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488744, -488742, -488756, -488792, -488856, -488954?\nAnswer: -489092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19, -1\/127, -12\/5, 4, -3, 9?\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 649525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x**3 + 6*x**2 - 12*x + 2. Let l(g) = -27*g**3 + 13*g**2 - 25*g + 4. Determine 6*l(d) - 13*v(d).\nAnswer: 33*d**3 + 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -927 divided by -6\nAnswer: 309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q**2 - 2*q)*(-2*q**2 + 0*q**2 + q**2 + (-2 + 2 + 2*q)*(-2*q + 0*q + 0*q) - 4*q + 4*q + 2*q**2).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 15 = d. Is 10 a factor of d\/9 - 59\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(2\/3)*u*u))**(4\/25)*u**2\/(u\/(u\/(u**(-1)*u))) assuming u is positive.\nAnswer: u**(118\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {s: 1, d: 2, t: 1, o: 1, r: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3109*o - 3133*o - 3135*o - 3120*o - 3137*o + 9*o**2 + 15630*o.\nAnswer: 9*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 359*h + 4671. Calculate q(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18976 - -18972. Which is the fourth smallest value? (a) y (b) 3.4 (c) -5 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1974978*f**3 - 1908*f**2 - 134*f wrt f?\nAnswer: -11849868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.239 - 0.239. Sort 2, n, 5, 0 in increasing order.\nAnswer: 0, 2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/26*(-28)\/(-6). Does -7 = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -141*(-4)\/(-816) + (0 - 9\/(-12)). What is the smallest value in 0.1, f, -6\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h - 56. Determine t(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 2*q**2 + 5*q - 4. Let m be j(-3). Let n(k) = k**3 + 10*k**2 + 10*k + 141. What is the tens digit of n(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/30 + x**4\/6 + x**3 + x**2. Suppose g(o) = 0. Calculate o.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f**3 + 4*f**2 + f + 4. Let r(k) = -4*k**3 + k**2 + 1. What is 2*b(t) - 7*r(t)?\nAnswer: 2*t**3 + t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -1\/3*q**4 - 12*q**2 - 2\/3*q**3 + 0 + 0*q. List the prime factors of k(-23).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 - 5 + 12*z**2 + 11*z**2 + 5.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {a: 3, o: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emehooemhooehoo. Give prob of picking 2 o and 1 h.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 25.67. Let a = f - -0.15. Let g = a + 0.269. What is g rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 463*m + 50. Let n be d(1). Let q = 579 - n. Which is smaller: q or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*b + 12 = 0, -2*z = 5*b - 2 - 1. Calculate the lowest common multiple of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280 + 2101 - 310)*(3*p - 3*p + p**2)*(1 - 2*p**2 - 1 + (-4*p + 6*p + 0*p)*(3*p + p - 3*p) + 0*p**2 - 4*p**2 - 2*p**2) + 0*p**4 + 5*p**4 - 3*p**4.\nAnswer: -12424*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -76*m**3 + 16*m**2 - 119*m - 1615. Let t(b) = -b**3 + b**2 - 7*b. Let p(z) = 51*t(z) - 3*w(z). Differentiate p(x) with respect to x.\nAnswer: 531*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 1 - 9) + (-15 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1 + 1*-2). Suppose -5*k - 133 - 197 = a. Let s = -29 - k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 677652 by 112942.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 35. Let r = l + -12. Let m(y) = 2*y + 2. What are the prime factors of m(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*v + 1005 - 1025, 4*c + 20 = 4*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and -0.0923.\nAnswer: 3.1382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47041 - 10584203\/225. What is the common denominator of 101\/50 and g?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10046865 and 15?\nAnswer: 10046865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/6 + 4065*b. Let m(s) = -2059*s - 4. Determine r(m(t)).\nAnswer: 8478962*t**2 + 32944*t + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24200624 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (18 - 12) + -1 - -3169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = 2*g - 21, 2*g - 2*v = 30. Solve -3*o = 2*j - g, 2*j = -2*o + 6 + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 21. Let z be 10\/r + (-24)\/(-18). Which is the biggest value? (a) z (b) 1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3\/9 - 242*k**2 - 595492*k\/9 - 588976\/3 = 0.\nAnswer: -562, -524, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11763 is divided by 1468.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(((m\/m**(2\/5))\/m)\/m*m))\/m))\/m)\/m**6*m\/(m\/m**(3\/4))*m*m**(2\/3) assuming m is positive.\nAnswer: m**(-239\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -2\/13, 3\/4, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 36*r + 30 = 0. Suppose -7 = -g - 2*d + 6, 4*d = r*g - 9. Suppose -51 - 154 = -g*j. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 58*k = 34, 224*i - 5*k + 13 = 225*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/(-1) - ((-70)\/15)\/7. Calculate the greatest common factor of 73 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 209*w - 56*w + 5429 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (1 + 11 - (-41 - -40)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60438215*y**2 + 171862711*y wrt y.\nAnswer: 120876430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102030 and 10740?\nAnswer: 204060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**3 + 31*w**2 + 21*w + 57. Let z be p(9). Let t(m) = 198*m - 3. Let o be t(3). Let f = z + o. What is the highest common divisor of f and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**10\/15120 + l**9\/3780 + l**8\/3360 - l**4\/3 + l**2. Let w(b) be the second derivative of u(b). Factor w(s).\nAnswer: 2*s**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6 - 192*n**2 + 190*n**2 - 4*n - 4*n. Determine c(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/13)*w**(3\/5))\/(w**(-9))**(-4\/37) assuming w is positive.\nAnswer: w**(213\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigeeb. What is prob of sequence eb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Suppose 3*r - 3*g + 1 = g, -4*g = -b*r - 6. Calculate the smallest common multiple of 8 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4727?\nAnswer: 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 9 = -47. Let r(v) = -v**2 + 1. Let o(h) = -3*h**2 - 23*h + 19. Let w(j) = o(j) - 2*r(j). Is w(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 203*a**2 + 586*a - 7. What is y(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1. Let u(m) = m + 3. Let k(l) = -2*f(l) + u(l). Let i(a) = 3*a**3 + 1. Let r be i(1). Let z be k(r). What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-8\/7))\/c)\/c**(2\/7))\/((c*c\/c**(-2\/3))\/c)**(-1\/9) assuming c is positive.\nAnswer: c**(197\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**2\/2 + 5*t + 7. Suppose 203*d = 287*d + 252. Let s = -20 + 6. Let b(v) = 4*v - 24. Give d*b(y) + s*f(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*f, 7*k + 2*f = 3*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 5*v + 9. Let b be s(-6). Let r be (2\/b)\/(12\/450). Let k = -6 + r. Calculate the remainder when k is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -10.\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5 + 38*k**4.\nAnswer: -2*k**4*(k - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 9*f - 10. Let d be z(8). What is the smallest common multiple of 2 and (1\/(-3))\/(d\/42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 30 = -6*l. Solve -4*d = -4*q - 2*d - l, 2*d + 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 19172330?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -d - 2*h, d + 14754 - 14817 = 5*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - -3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - (18 + -10)) + 0 + 3. Let c(v) = 291*v + 88. Is c(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2905, 23311, 78663, 186421, 364045?\n\"Answer: 2910*d**3 + 13*d**2 - 3*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (46\/230)\/(1\/25). Let t(r) be the first derivative of 1\/27*r**6 + 0*r - 2\/45*r**u + 2\/27*r**3 + 0*r**2 - 1\/18*r**4 + 1. Factor t(p).\nAnswer: 2*p**2*(p - 1)**2*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 60*n**2 - 875*n - 17. Give i(25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2 + 89*x - 61. Let a be m(21). Calculate the greatest common divisor of 3124 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-7 + (-2 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.56348 millennia in months?\nAnswer: 810761.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(99*f**2 - 318*f**2 + 66*f**2).\nAnswer: -306*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/((-37)\/222)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2051 + 2051 - 462*h**3)*(0*h + 0*h - h).\nAnswer: 462*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-65)\/(-28))\/((-12)\/14)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + -2)**2)*-3 - ((5 + sqrt(7) - sqrt(7))**2 + sqrt(7))*2.\nAnswer: -17*sqrt(7) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 63?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/27 or 2.29984?\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26568220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843817.\nAnswer: 13, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(sqrt(605)*1)**2*6 + -3)*-3.\nAnswer: -32655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*n**3*w - 211*n**3 + 11*n**2*w - n**2 - 326 wrt n?\nAnswer: -114*w - 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -87.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 111. Let o = l + 104. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/21*(0 + 0). Sort 3, -8, i, -2 in decreasing order.\nAnswer: 3, i, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145360 = 5*i - 5*z, 5*i - 2*z - 66917 = 78458. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008495 to seven decimal places.\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -26 (b) -1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.799 - 0.179. Let g = -0.62 + u. What is the closest to 0 in g, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 652\/70 - -6*(-11)\/(-231) and -46\/95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 4175028?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.1, 2\/9, -80 in descending order.\nAnswer: 9, 2\/9, -0.1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Put -0.4, q, -4\/7 in descending order.\nAnswer: q, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n - 2. Let d be 36\/(-18)*2\/(-4) + -5. Determine y(d).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25186018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, 1, 13, 41, 91?\n\"Answer: m**3 - m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15366 - 5?\nAnswer: 15361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*j + 11 = 0, 3*j = -5*d - 0*j + 56. Let f = 33 - d. Let n = 54 - f. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 6*d + 3. Let k be v(3). Let y(n) = 4*n - 21. Let q(a) = -a + 7. Let b(z) = 7*q(z) + 2*y(z). Calculate b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47\/2 - 25. Let y = 418.7 + -508. Let q = 89 + y. Which is the biggest value? (a) q (b) f (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29888219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31.87 >= -163421\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + r + 3 = -r, -2*r = -4*c - 18. What is the closest to 4\/9 in 3, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 18 - 5 = -5*b, d + 3*b = -3. Suppose p - 14 = -3*u + d, -u = 2*p - 42. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.17 - 0.2. Let g = 1.97 - r. Let t = -2.4 + g. Which is the third smallest value? (a) 2 (b) 5\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/((-26)\/(-195)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**2 - 316*x - 42. Give g(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -414?\nAnswer: -41\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2061 and 7739513.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - k**2 + k + 7*k - 30 + 5. Let m be v(10). Suppose 2*p + 8 = -0*p. Put 5, m, p in decreasing order.\nAnswer: 5, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1454 divided by -1454.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 2*g - 11, -3*r + 5*g - 2 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14425002 and 51.\nAnswer: 245225034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134 and 136?\nAnswer: 9112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/5*((-195)\/18 + 0) and ((-27)\/16)\/((-2)\/4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 3 - (2\/6)\/((-195)\/(-4680)). Put -8, 4\/7, c, -0.4, 4 in ascending order.\nAnswer: -8, c, -0.4, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:15 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-570)\/57 - 32\/3)\/43. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -8*b + 34 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**4 - 5*q**3 - 9*q**2 - 16*q - 11. Let c(m) = 5*m**4 + 23*m**3 + 37*m**2 + 64*m + 45. Let a(x) = 6*c(x) + 26*p(x). Suppose a(r) = 0. Calculate r.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((7 + 1)*(-58)\/116)\/(((-493)\/58)\/(-17))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**4\/12 - 5*p**3\/3 - 7*p**2\/2 + 4253*p. What is o(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 12:10 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26 + -27)*(2 + -1). Is n > -2\/10439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2 = -4*i + 6*i, 3*i - 14 = 4*z. Let j(h) = 4*h**3 - 7*h**2 + 7*h. Let a(y) = y**3 - 2*y**2 + 2*y. Give i*j(m) - 7*a(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 11690?\nAnswer: 46760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/6 (c) -188500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/41)*k*k)\/k**3*k**(-14)*k*k*k**(-1\/3))**34 assuming k is positive.\nAnswer: k**(-55556\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 71*b**2 + 39*b + 16*b**2 + 172 - 52*b**2. What are the prime factors of l(-5)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 20 = a. Let c be 4\/6*6\/4. Let s(n) = -n**2 + 5 + c - 3*n + 0 - 5. Calculate s(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from vnetnnnvvcvnvcvvvnn?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 118, 3, -106 in ascending order.\nAnswer: -106, -103, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 4*p**2 + 6*p - 5. Let u be z(5). Suppose -4*l + 4*k + 376 = 0, 0 = -15*k + 16*k - 6. What is the greatest common divisor of u and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537165.1 litres in millilitres?\nAnswer: 537165100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, 112, 5, -5882, -2 in ascending order.\nAnswer: -5882, -16, -2, 4, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x. Let m(b) = 21*b**2. Give m(h(n)).\nAnswer: 1029*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*f**2*z**3 + 4*f**2*z**2 - 4*f**2*z + 62*f**2 - 2*f*z**3 + 963*z**3 + z**2 wrt f?\nAnswer: 304*z**3 + 8*z**2 - 8*z + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 3*p + 4. Let g be t(-3). Suppose 5*d - 18 = 7. Let o(a) = 9 - d*a**2 - 6 - 5 + 5*a + 6*a**2. Give o(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2. Let j(q) = 10*q - 2. Let x(m) = -3*m + 3. Let h(z) = 24*z - 25. Let a(k) = 6*h(k) + 51*x(k). Let d(i) = 2*a(i) + 3*j(i). Give d(o(y)).\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 38. Let d be ((-10)\/n)\/(1\/6). What is the highest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1302.1 - 1302. What is the second biggest value in -67, j, -5\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 59*j**2 - 112*j**2 - 2 - 81*j**2 + 215*j**2 - 84*j**2.\nAnswer: -121*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -58*p + 55*p. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 71. Suppose r*o = -3*o + 14. What is the third derivative of 8*j**2 - 8*j**2 + j**2 + 23*j**3 + 5 - o*j**5 wrt j?\nAnswer: -120*j**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:51 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 11) to base 16\nAnswer: -5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - i**2)*(i - 2 + 1 - 2*i).\nAnswer: i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d65 - 5?\nAnswer: d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13211548877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -c - h + 1, -5*c + 4*h = -50. Let p = c - -9. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f - 233. What is c(-34)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -996\/7 + 142. Let w = -1241 + 1241.5. What is the nearest to -1 in w, 2\/53, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 18. Suppose -s = -h*s. Suppose s*w - 1\/4 + 1\/4*w**2 = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = -5*p + 3*t, -4*p + 0*p = 2*t - 178. Let f = p - 52. Let n be 29\/(-174) + (-19)\/f. Solve -3*h + 12 = h - 2*y, n*y = 4*h - 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 22*w + 30. Let p(f) = -f. What is p(v(b))?\nAnswer: -22*b - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + g + (2*g + 2*g - 3*g)*(-4 + 2 + 3) - 117180 + 117180 - 776*g to n + z*g and give z.\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 696\/3915 + -1 + 22\/18. Factor -12\/5*i**2 + 8\/5*i + 8\/5*i**3 - 2\/5 - z*i**4.\nAnswer: -2*(i - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -43 - 22981\/(-539) - (-15)\/11. Let q be 2\/4 - (-123)\/90. Is q at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166847733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1365*f**3 + 1107*f**3 + 1763*f**3 + 4*f**2 to c + o*f**3 + x*f + b*f**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -19*i + 1298. Let a = -518 - i. What is the remainder when a is divided by 74?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*j = 522*j - 147 - 5376 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20819, -20816, -20819, -20834, -20867, -20924?\n\"Answer: -p**3 + 3*p**2 + p - 20822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 16 = 751. What is the remainder when 341 is divided by c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 568619 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3219*h**3 + 1229*h**3 + 886*h**3 + 873*h**3.\nAnswer: -231*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1269 + 1272. What is the closest to 2 in b, 0.1, 30?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -4, 8, -0.29, -1\/7, 11 in descending order.\nAnswer: 11, 8, -1\/7, -0.29, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2831 is divided by 206?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222078 is divided by 1791?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = 5*x. Let y = x + 3. Suppose -3*h + 3*g = -333 + 3, 4*h - g - 449 = y. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**3 + 2330*c**2 - 271445*c = 0.\nAnswer: 0, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 216532051849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1168542 - 2337994 - 2*q**3 + 1169360.\nAnswer: -2*q**3 - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-10)*4\/6. Let j(n) = -2 - n + 2*n + 6 + x. Calculate j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.001?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 28 = -2*u, -3*u = 1855*m - 1854*m + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38049880 rounded to the nearest 10000?\nAnswer: -38050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 15 + 3 = 0. Suppose -2*z - z - 41 = -5*d, -3*z = d - 19. Let r = -11 + d. What is the smallest value in a, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3289*l + 4. Let x = 138 + -137. Is y(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1311436, -2622872, -3934306, -5245738, -6557168, -7868596?\n\"Answer: b**2 - 1311439*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2260434, 2260441, 2260452, 2260467, 2260486?\n\"Answer: 2*y**2 + y + 2260431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.6 and 2188343?\nAnswer: 2188337.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.049151 to 3 dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -13*u + 243. Calculate the least common multiple of 285 and u.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 7*d + 4. Let n be q(3). Suppose -n = 2*g + 38. Let s = g - -26. Solve s*a = -3*w - 19, a + a = -4*w - 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432208.\nAnswer: 2, 7, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 16 = -2*y, 5*y - 36 = r - 4*r. Suppose y*k = k + 15. Suppose 0 = k*d - d - 80. Calculate the highest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 0*a)*((a + a + 0*a)*(0 - 2 + 3) + 20 + 425*a - 27 + 7).\nAnswer: -1281*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*1092\/273*13\/((-13)\/54)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(4\/20 - 21\/5). Suppose -l = -8*f - 44. Which is the third smallest value? (a) -0.05 (b) f (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 0.5 (c) 1129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 18. Calculate the remainder when 26 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:21 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}