diff --git "a/data/dm_maths/full_data_2/1908_11255.jsonl" "b/data/dm_maths/full_data_2/1908_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1908_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the second biggest value in 1, -25, -3300, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -4 - 3\/(-3) - -29. Suppose 0 = 3*u + 4*s - 118, 67 = 3*u - 5*s - 15. Let t = u + -9. What is the highest common divisor of t and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 16538155?\nAnswer: -16538159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/253020)\/(2\/(-217177745576781526)). Let j = 858342208417 - x. Let q = j + 2\/12651. Calculate the common denominator of 67\/10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (625 - 634 - (-294)\/32)*(-4)\/6\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 635984 and 15032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o. Let c(x) = 4*x**2. Let m(k) = -64*k + 7*k**2 + 64*k. Let u(y) = 5*c(y) - 3*m(y). What is u(i(n))?\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 701021161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 407 + -252. Let s = -260 + x. Let b = s + 102. What is the biggest value in 8, b, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1170784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 5*g**2 - 2*g**2 - 8*g**2 - 178*g + 17*g**2.\nAnswer: -g**2 - 178*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 4. Let t = -47 - -41. Calculate j(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/40 - g**5\/60 + g**4\/24 + g**3\/6 + g**2 + 35*g. Let n = 25 + -26. What is y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2628 + 2626. Suppose -3*o + 4*v = 6, -o + 2*v - 8 = -2*o. Let x(b) = -2 - 2*b - 2*b + b**2 - 5*b**o - b**3. Determine x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6) + 1)*-6. Suppose -n*j + h = 7783202, 433190 + 2161208 = -j + h. Let s = j - -4394402. Round s to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 2, x: 1, j: 4, w: 1, d: 2}. What is prob of picking 1 q and 2 s?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 - 10*j - 9. Let r(a) = -a**2 + 2. Let q(n) = -o(n) + 3*r(n). What is q(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2)\/(-2 - 32\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 74662 and -18.29?\nAnswer: 74680.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 771.66005 or 0.1?\nAnswer: 771.66005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 9. Let i = 5 - 13. Let m = s - i. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5577 + 57.5803. Let m = o + -0.138. Let q = -59.066 + m. Round q to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -66*m + 1723. Determine x(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 181*q + 1. Let z(i) = -95*i + 4. Let m(k) = k - 1. Let h(u) = 5*m(u) + z(u). Let c(t) = -7*h(t) - 3*y(t). What is the first derivative of c(o) wrt o?\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/658 (b) 295 (c) 52.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/5 (b) 1 (c) -4 (d) -1\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493023.6 months to decades.\nAnswer: 4108.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -30*b**3 - 3*b - 28. Let i(g) = 30*g**3 + 4*g + 29. Let c(t) = -3*i(t) - 4*p(t). Find the first derivative of c(h) wrt h.\nAnswer: 90*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from ecceeceeccceeece?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -155. Let m be (z\/25)\/((-4)\/(-30)). What is the highest common factor of 24 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = 3*q, -5*q + b - 3*b + 2 = 0. Suppose w - 4*w - 3 = q. Is w < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.4475 + -42.4. Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2773988781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 25*c + 55. Give m(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 11051 - 11067 + 0*a. Determine z(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11666494, -23332988, -34999482, -46665976, -58332470?\n\"Answer: -11666494*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Suppose -y = -0*y - s. Does 8 divide 14\/((4 - y)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7996 - 7996.03. Does 8\/9 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 3. Let n be z(0). Suppose 0*k + 2*g = 3*k + 2, 5*k = -n*g - 35. Is k < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31326 + 59611. List the prime factors of z.\nAnswer: 5, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 2. Let s be o(2). Let r be s\/2 - 4\/9. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 3. Let v(j) = 2. Let p(g) = -2*h(g) - 3*v(g). Let n(b) = 6*b - 3. Let s(r) = -7*r + 2. Let t(x) = -2*n(x) - 3*s(x). Calculate p(t(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*a - 130228 = -133517 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/490*(-28)\/(-20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Let p = -9 + 85. Suppose -m*c = -c - p. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2425.106 to 0 decimal places.\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90934780?\nAnswer: 2, 5, 31, 146669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 665, 0, 2, -2 in decreasing order.\nAnswer: 665, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 - 7*l + 4. Let r = -60 - -33. Let i be ((-20)\/(-6))\/((-18)\/r). Calculate m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31 + 425*q**4 + 379*q**4 - 372 with respect to q.\nAnswer: 3216*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7544 and 201112.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/31485227 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {s: 1, a: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3)\/6*35*11\/2310\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 224*o + 1627. Let w be m(7). Which is the fourth biggest value? (a) 2\/5 (b) 1 (c) w (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2481 - 109 = 14*d. Let s = d + 188. Solve s*y - 6*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 3*z + 1. Let f be n(4). Suppose -5*u - 45 = 4*g - 150, f*u = -3*g + 75. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 3:25 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101462 - 444298 = -760*j - 4450*j - 3886*j for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 875 = -735. Calculate the smallest common multiple of c and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 19 = -5*y, 14 = -0*y + 4*y - u. Suppose -3*o - z + 0*z = -160, 4*o = y*z + 235. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-518)\/(-5) - (-27)\/(-45). Let a = -48 + u. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.347348 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(637)*5 - 1*(sqrt(637)*-3 - sqrt(637)))*-3)**2 + 4)*3.\nAnswer: 14464371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - m = 11, 0 = -4*h - 2*m - 65 + 23. Let b = h + 16. Calculate the remainder when 11 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11770*s**3 - 10*s**2 + 7*s + 14. Let n be q(-9). Let v = n + 14281189. Round v to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154700 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10123*u + 114548 + 114555 - 229103 to the form b + x*u and give x.\nAnswer: -10123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.00502 - -46.74502. Let t = d - 55.7. Let l = t + 0.76. What is l rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263443 + 263443 + 4*j**2 + 207*j**2.\nAnswer: 211*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 94.38 and 16.23.\nAnswer: 110.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 1432\/13. Let t = n - 12\/91. What is the third biggest value in -1\/4, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 32 (b) -4 (c) -3 (d) -30\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:23 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtlglbbjg. Give prob of sequence bgjl.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - b61b8?\nAnswer: -b61b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 60, 96, 154, 240, 360, 520, 726?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 361012031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*m**5 + m**4 + m**3 - 256*m**2 - 2*m - 42314 wrt m?\nAnswer: 380*m**3 + 12*m**2 + 6*m - 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - 2*k**3 + 116 - 3*k**3 + k**2 - 17*k + 6*k**3.\nAnswer: k**3 + k**2 - 17*k + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5344\/23 (b) 2\/5 (c) -1.02 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -3 - (1 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 2. Let n be g(0). Let l(x) be the third derivative of 0*x + 5*x**2 - 1\/6*x**3 + 0 + 1\/8*x**4. Let q(w) = -13*w + 5. What is n*q(f) + 9*l(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let j(t) = -317*t - 32771. Determine j(d(f)).\nAnswer: 317*f**2 - 32771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1158 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 135243816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.379903 and 2?\nAnswer: 20.759806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.94 + 9.9. What is the nearest to 20 in 1, -1\/4, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((490\/(-21))\/(-10))\/(4\/(-48)*-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5516096640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21604252 (base 9) to base 15.\nAnswer: -db7ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*m + 873 - 24 - 33*m**2 + 33*m**2 - 2*m**4 - 53*m as h*m**2 + c*m**3 + s + w*m**4 + f*m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 58.338 (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682135217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17385 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -166*z - 107*z - 16988 - 17309 + 9454 for z.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 801694 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6680437 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2686590*d**4*t**3 + 5*d**4*t - d**2*t + 2946*d*t - 179*t**3 - t**2 wrt d?\nAnswer: -64478160*d*t**3 + 120*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = m. Suppose 2*b - 4*b + m = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(m**2 - 9 + 7 - 9).\nAnswer: -m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-120)\/(-32))*(-6)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14420287.\nAnswer: 7, 23, 89567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -207*i + 229*i - 13464. Sort 2, 4, i.\nAnswer: 2, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143576 divided by 1048\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {y: 3, d: 1, h: 1, c: 9}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*i**3 - i**4 + 8*i + 478 - 3*i**2 - 480 - 72*i**3 to the form d*i**4 + n*i**2 + x*i**3 + a*i + k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/210 - 13*o**4\/42 - 64*o**3\/7 + 86*o**2. Let k(n) = 0. What is n?\nAnswer: -6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = v + 248. Is 106\/(-8 + 11 - 91\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 18*v - 30. Let g be h(7). Sort 8, g, 4, 5, -5 in increasing order.\nAnswer: -5, g, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 58*c - 54. Let h be j(-28). Solve x - 16 = -5*o, -h*o - 8*x + 11 = -3*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -1)**2 + -2 - (sqrt(108) + 0 - (-1 + sqrt(243))**2)) + -4.\nAnswer: -38*sqrt(3) + 386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23043132 (base 5) to base 10\nAnswer: 206042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 + 10130521?\nAnswer: 10131033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**4 + 5*t**3 + 1909 with respect to t.\nAnswer: 12*t**3 + 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3444247 to the nearest ten thousand.\nAnswer: -3440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 39*z + 15*z + 13*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 126, -0.03, -0.5, -0.05, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (-434)\/620?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.35 (c) 24901\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/13752 and -13\/123768.\nAnswer: 123768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 149346015454 + -6\nAnswer: 149346015448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43743 rounded to three decimal places?\nAnswer: -0.437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 506 + 366*t**3 - 359*t**3 + t**2 - 506. Suppose 0 = s + 5 - 4. Give r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 19*a**2 + 39*a - 20. Let v be p(-17). Let r be 5*7\/v*9. What is the third biggest value in 5, 14, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**8\/80 + 43*j**4\/8 + 59*j**3\/3 - 81*j. Let w(a) be the second derivative of v(a). Differentiate w(c) wrt c.\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*b + 46 = -n, 4*n - b + 252 = 0. Is (4 - (-75)\/(-10))*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33836.19885 rounded to the nearest 10?\nAnswer: 33840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13 = -5*v - 0*v, -11 = -3*v - 5*q. Suppose -8*b = -v*b - 12. What is the third derivative of 2*r**4 - 2*r**4 + 7*r**6 - 17*r**6 + 4*r**b wrt r?\nAnswer: -1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n**4*p*z - 5*n**4*p + 25*n**3*z**2 - n**2*p*z**2 - 3*n**2*z**2 + 11*n*p + 11*p*z + z**2 wrt n.\nAnswer: 120*n*p*z - 120*n*p + 150*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 688, -4 in descending order.\nAnswer: 688, 19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o + 1506 - 1506.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 0, 119 in ascending order.\nAnswer: 0, 86, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*n - 129691 = 3097*n - 23091 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*w + 72, 3*w - 5*b - 56 - 14 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 - n**3 - 3*n**3 + 4*n**3 + 13*n**4 wrt n.\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -3.2?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*b = 6857000, w - 5*b + 1371400 = -9*b. Round w to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 289*t - 274 = 287*t, -5 = t. Solve -v*y + 42*y - 174 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a + 78*a - 233496 = 0. Is a a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-60)*(11\/(-3))\/11\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -666*h**3 - 4*h**2 - 333*h. Let u(b) = -661*b**3 - 3*b**2 - 334*b. Let j(k) = -4*u(k) + 3*w(k). Find the second derivative of j(z) wrt z.\nAnswer: 3876*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876911?\nAnswer: 7, 17, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (434 + 482 - 300)*(2*n**4 - 11*n**2 - n - 7*n**5 + 11*n**2).\nAnswer: -4312*n**5 + 1232*n**4 - 616*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -530 and -0.27.\nAnswer: -530.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {n: 2, v: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/48887 and -10\/21793.\nAnswer: 1808819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a hour?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-3)\/u))\/u*u)**(-26\/7)\/(u\/u**(-7)*u*u**0*u) assuming u is positive.\nAnswer: u**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61269841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 9:27 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1163*d**2 + 57*d - 185. Is s(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 831. Determine n(46).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + u = 14, -u - u + 18 = 2*y. Suppose 4*s - 4*t + 14 + 2 = 0, s - y*t + 24 = 0. Is 4 a factor of s + 9\/(-3) - -12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*x + 3 - 1\/2*x**2 = 0. Calculate x.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 11 = -3*l - 6*j, -4*j - 2 = -2*l. Solve -5 = f, -l*c + 24 = 5*f + 74 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/10 + (-1)\/2. Let b(a) = -4*a + a**d + 0 + 2 - 3*a. What is b(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23950*18884\nAnswer: 452271800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21*3.32\nAnswer: -69.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4708 and 1.2499.\nAnswer: -4706.7501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2314711375?\nAnswer: 5, 23, 41, 73, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4*l**3 - 520*j**4*l**2 - 4*j + 42*l**3 wrt j?\nAnswer: -24*j**2*l**3 - 6240*j**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 21 = 4*r, 0 = 4*r - 20*s + 7*s + 49 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - 4*y**3 + 4*y**3 + (2*y + y - y)*(5*y - 5*y - y**3) - 727*y**4 + 344*y**4 + 891*y**4.\nAnswer: 509*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 5*g + g + (-4 + 3 + 2)*(4*g - 3*g + 0*g) - 4*g - 8*g + 2*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swslkllsflslllallllf. Give prob of sequence akl.\nAnswer: 11\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a**2 - 2*a**2 - 2*a**2)*(-5 - 5 + 7)*(-13*a + 30*a - 19*a + 166)*(3 - 7 + 2) as z + s*a**3 + w*a + k*a**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10910*n + 2926 = 10777*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 5. Let n(v) = 2. Let u = -101 - -98. Let m be 2\/12*u + (-9)\/6. Let t(l) = m*s(l) + 5*n(l). Let t(b) = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + n**2 + n - 3. Let q be (1 - -1)*(-10)\/(-4). Let x(y) = q*y**3 + 8 - 3*y**2 + 0*y + 3*y - 6*y + y. Calculate 8*t(v) + 3*x(v).\nAnswer: -v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.81257 nanograms in grams?\nAnswer: 0.00000006281257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4\/17 (c) -0.167 (d) -1\/6 (e) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -c + 27. Let z(s) = -c*s**2 + 6*s**2 - 3 + 13 - s**2. What is the tens digit of z(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 237 + 1450. Let l = t - 223. Solve l = 4*o + 3*m, 4*o - 2*m - 4 = 2*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11002, -1, 3, -2 in decreasing order.\nAnswer: 3, -1, -2, -11002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Suppose s*p = -2*p. Suppose t + p*r - 22 = -5*r, 2*r = 6. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*r + 2 = -2*o - 345*r, -3*r - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40196 + -18422. Is c a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-2)*-1*54\/162?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:58 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + 29 + -2 + 2?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*k - 0. Let v = 51 - 125. Let u = -72 - v. Solve u*m - 11 = s, -m - 2 = 3*s + k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5 + 26872*j**3 + 2042*j**2 + j - 5.\nAnswer: -120*j**2 + 161232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let h = 0.25 + 72.75. Let q = h + -77. What is the third smallest value in r, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 969*u**2 + 463*u**2 - 1429*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7744570 equal to 7744585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 272221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.087721 to three dps.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**6\/120 + f**5\/6 + 11*f**4\/24 + 7*f**3\/6 + 19*f**2. What is t(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072087161 to the power of 1\/3, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**6\/90 - l**5\/5 + 5*l**4\/6 + 8*l**3 - 33. Let r(f) be the third derivative of d(f). Solve r(c) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mcwmc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-4)\/(-3))\/(2 - -2)*69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + 0.26. Let f be 7\/49 - (4\/((-1512)\/(-642)) - 2). What is the nearest to 0 in -5, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/3 + 3 + (-141815962)\/57. Round m to the nearest ten thousand.\nAnswer: -2490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*73\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 224 + 190 = 0. List the prime factors of h.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f**3 - 2*f**3 + 77*f**3 + 0*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*r = 18, g - 13*r - 686 = -624 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**5 - 3*n**2 - 7*n - 3. Let w(g) = -g**5 - 4*g**2 - 7*g - 4. Let a(r) = 4*f(r) - 3*w(r). What is the second derivative of a(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - (-93 - -84)) + 84.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-628)\/(-156) + -4). Let u = -27 + y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2166, -2257, -2348, -2439?\nAnswer: -2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, d: 5, j: 1}. What is prob of picking 1 c and 2 d?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 230 - 230.2. What is the nearest to z in 0.4, -0.3, -0.07?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6140265 + 2?\nAnswer: 6140300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*l + 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -4378214\nAnswer: -4378214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0416 - 0.3584. Which is the closest to 1? (a) 5 (b) o (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 82, 126, 176?\n\"Answer: 3*s**2 + 29*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 26. Let w be s(-6). Which is the nearest to 4? (a) -0.4 (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.059674 rounded to the nearest integer?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.34, -973, -4, -7?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (342\/(-12))\/((-9)\/6). Suppose 2*b + 17 = z. Let n = -5 - 0. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161339219 to the power of 1\/2, to the nearest integer?\nAnswer: 12702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 1 - (-1)\/(-18). Let l be ((-2)\/2)\/((-5)\/(-5)). Which is bigger: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3715483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(14*o - 12*o - 11*o).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 2196 + 4495 + 4*j.\nAnswer: 6*j + 2299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1125246 and -131\/5734038.\nAnswer: 957584346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4065*r**3 - 21*r**2 + 55*r.\nAnswer: 24390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.849, 1674, 1\/6 in decreasing order.\nAnswer: 1674, 0.849, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + ((2*(sqrt(56) + sqrt(56)*-1))\/((sqrt(96)*-2)\/sqrt(12)) - (2*(0 + sqrt(7)) - (-3*sqrt(49))\/sqrt(7))))*-6)**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2619 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 < -1.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4454940443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -1\/2 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/21 and 121\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1339 * 16.\nAnswer: -21424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 207.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sms when three letters picked without replacement from {j: 1, m: 3, s: 12}.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*m*z + b**3*z + 3*b**3 - 389*b*m**2*z - 92*m**2 wrt z?\nAnswer: -b**3*m + b**3 - 389*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.0292 rounded to zero dps?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 12) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841420364 a multiple of 1572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = 11*o - 5*u - 3, 2*o = -2*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/5*3)\/((-3)\/105). Let i be 21\/(-36)*12\/h. Sort -0.3, 1\/2, -0.4, i in descending order.\nAnswer: 1\/2, i, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*d**2 - 34*d - 1638*d**2 + 34*d.\nAnswer: -2135*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfa when three letters picked without replacement from {j: 1, a: 2, f: 1, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-204 + 207)\/((-1)\/(2\/3)). Let m be 14*(-1)\/z*6\/21. Factor -4 + m*l + 1\/4*l**3 + 7\/4*l**2.\nAnswer: (l - 1)*(l + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 21 - 219. Let g = q + -26. Let s = 21 - g. Which is the second smallest value? (a) 0 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 6, t: 3, m: 7}. Give prob of picking 2 t and 1 m.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8792)\/(-140))\/((-2)\/(-10)) is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {r: 3, g: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4209507 to the power of 1\/2, to the nearest integer?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 17*u**2 + 14*u + 159. Let z be w(-13). What is z rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 5 + 1. Find the third derivative of -s - 67*k**4 + 14*k**5 + 64*k**4 + 7*k**2 - 2*k**5 wrt k.\nAnswer: 720*k**2 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v**2 - 98*v + 16. Let j be a(-12). What is the greatest common divisor of j and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15504 and 646.\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 9*g + h + 2, 4*g = 4*h - 16. Which is the smallest value? (a) 1031 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -376 + 396. Suppose 5*q = 2*o + z + 19, 4*q = 3*o + 34. Solve 2*g = -2*s - 12, q*g - 3*s + 6 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (6*-1*-2*sqrt(192) - (sqrt(24) - sqrt(96))\/(sqrt(6)\/(sqrt(48) + sqrt(3)))))**2 + 3.\nAnswer: -636*sqrt(3) + 33720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-306)\/(-680)*(80\/14)\/(-5))\/((-4)\/20)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/((-1)\/(-85)). Let y be g\/(-8) + (-3)\/(-4). Suppose 4*k - 222 = -n, k - 4*n = -k + 102. What is the greatest common factor of y and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 69. Suppose -5*m + o = 9. Solve 2*i - 5 = -5*v + m, -3*v + 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/147*(-1470)\/(-175)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*l + 4*v - v, 0 = -2*l + 5*v - 28. Which is smaller: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*c + 5, -2*p - 4*c - 36435 = -36431 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*p**3 + 88*p**3 - 42*p**3 + 13*p to the form f*p**2 + b + l*p + q*p**3 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = 4*x - 55, 3*x + 2*w = 35. Suppose -x*o + 16*o = 0. Factor -1\/2*s**4 + 0*s**2 + 0 + o*s - 1\/6*s**3.\nAnswer: -s**3*(3*s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2522*v**2 + 5037*v**2 + 53*v**3 - 2515*v**2.\nAnswer: 53*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 525*i - 11 = 527*i, 2*t + i = -10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -54.1. Let i = -518 - -526. Let z = i + x. Which is the nearest to z? (a) 1 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4151 + 5?\nAnswer: -4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.96 - 2. Let u = y + 0.84. Round u to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3096.3221 - -3096. Let s = a - -0.0291. What is s rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4073786567 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 0.0800035. Round w to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16247 + 1?\nAnswer: 16248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*z**3 + 0 + 141*z**3 - z + 3 to p*z + v*z**2 + o*z**3 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*1\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o**2 - 810*o - 20915. Determine i(-39).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - -25) + (1 - 3). Let a = d - -50. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m - 1406 + 1478. Let v(p) = -9*p**2 - 28*p - 2. Let f be v(-3). Solve -f = -4*z - m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3892746 and 101\/10140?\nAnswer: 38927460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854262126 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88218566.1us in weeks?\nAnswer: 0.00014586403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.92, -0.9, -40, -2\/7, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -49. Let r be (-32)\/12 - l\/3. What is the nearest to 9 in r, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 - 12 - -119 - (-1 + -6)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 12*z**2 - 10. Let l(b) = -431519*b. Give f(l(w)).\nAnswer: 2234503768332*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/((-3)\/18*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + 3*a**4 - 6*a**4)*(-1 + 3 + 0)*(3 - 2*a - 3)*(-3 - 2 + 3).\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**2 + 8*w + 1. Let l be (-20)\/(-3) - (-8)\/(-12). Suppose -38 = -l*i - 2. Is c(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8255 and 959993.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (2 - 86))*-1. Suppose -20*q = -23*q - w. Are q and -29 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, p: 2, w: 5}. What is prob of sequence wpw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -29768 times 0.5\nAnswer: -14884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*h - 3346 = 0, b + 4*h - 273 + 955 = 0. Let f be b\/(-171) - 2\/(-19). Solve -25 = -o - f*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147386.\nAnswer: 2, 3, 191231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 122468686 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/18 and 444\/(-54) - (-6 - 22\/(-4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 2:57 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 - 11 = 0, 4*o = 2*p - 34. Let l(y) = -y**3 - 7*y**2 - 6*y + 4. Let h be l(o). Solve -4 = h*v + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208.8 + -195. Let o = 30.8 - z. Which is the smallest value? (a) 0.5 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 34. Suppose 0 = -129*o - 9*o - 407 - 973. What is a(o)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*o + y - 73588, 2*o - 4*y - 36788 = 0. Suppose -3*m - 1639 + o = 5*p, 3*p = 12. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/225 at least as big as -18253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331354 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14626, 14641, 14672, 14725, 14806?\nAnswer: 14921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35704, -35643, -35602, -35581, -35580, -35599?\n\"Answer: -10*k**2 + 91*k - 35785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -11*z**3 + 8*z**2 - 5*z. Suppose 216 = -16*q + 43*q. Let p(j) = -17*j**3 + 12*j**2 - 8*j. Determine q*r(n) - 5*p(n).\nAnswer: -3*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (4 - -6) - (0 + -19).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 9*a**2 + 12*a - 10. Let m be 2\/8 + 62\/8. What is the remainder when l(m) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5020*p**3 + 1634*p - 5009*p**3 + 10031*p**3.\nAnswer: 2*p**3 + 1634*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) 0.7 (b) -16 (c) 4 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 198 = 2*b, t = -t - 2. Suppose 4*n = -3*o + 60, 2*o + 97*n - 96*n = 40. What is the remainder when b is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 5*j + 9. Let c(i) = i**2 - 2*i - 4. Let r(o) = -7*c(o) - 3*y(o). Let u(f) = 7*f**2 + 4*f - 7. Give -6*r(w) - u(w).\nAnswer: -w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011101011 - -100111001?\nAnswer: -1100110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3233 divide 2376503941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 9) to base 6.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = -4*z - q, 184 = -0*z + 2*z + 2*q. What is the units digit of z\/20 - 3\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374229109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -7*n**2 + 65\/96*n**4 - 1\/48*n**5 + 35\/12*n**3 - 3*n + 0. Determine a, given that j(a) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + g + 29. Calculate the remainder when y(0) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.88\nAnswer: -0.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmmmmmmmoo. What is prob of sequence om?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.11 and -2615885.311?\nAnswer: 2615885.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, -1190 in ascending order.\nAnswer: -1190, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45599142937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170920144 or 1?\nAnswer: 170920144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -78 in -8, -1, -2, -1\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 10*v - 12. Let h be z(-4). Let y(s) = -2*s**2 + 21*s + 40. Let w be y(h). Solve 22 = -5*r - w*x - 8, 3*r = 2*x + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7522, 14600, 21280, 27562?\n\"Answer: -199*m**2 + 7675*m + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8926*p + 6806 + 10918 + 35832 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1974377 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 4459721*w + 16 + 4.\nAnswer: 4459721*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10837 - 4*o + 10835 - 21672. Let m(d) = -11*d - 3. Calculate m(a(t)).\nAnswer: 44*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2732 and 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 6*q**2 + 3*q + 9. Let d = -20 + 14. Let o be s(d). Which is smaller: -8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -112*z - 1354 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**6\/30 + y**5\/10 - 100*y**2 - 76*y - 67. Let q(o) be the first derivative of t(o). Differentiate q(p) with respect to p.\nAnswer: 4*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4963063794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 6*q**2. Let v be t(-6). Suppose 5*r + v*r = 10. Suppose 0*i + r*i + 2640 = 0. What is i rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-504644)\/24)\/(-7) + (-7)\/(-42). Suppose -15*y + 10909 = r. Calculate the greatest common factor of 62 and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -47 + 65. Solve h = 3*b + 5*u + 2, b - u = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-14 + -7)) + (-25 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1621448 divided by -1621448.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 9:25 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14765939?\nAnswer: 14765939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 778, 1541, 2276, 2983, 3662, 4313?\nAnswer: 4936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 179. List the prime factors of ((-1)\/(-3))\/((-4)\/j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -215. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -10\/1087, -3, -2\/9, 4 in descending order.\nAnswer: 4, 2\/5, -10\/1087, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (2\/(-8) - 3). Let j = -92 + 648\/7. Sort -2\/11, o, j in increasing order.\nAnswer: o, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548 = -2*i + 1018. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -221*c**2 + 443*c**2 - 225*c**2. Let h(l) be the second derivative of 0*l**3 - 11*l + 0*l**2 - 9\/4*l**4 + 0. What is h(t(f))?\nAnswer: -243*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4062*x - 73105. What is l(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -27*2 - (0 + 0). Let n be (-5)\/(40\/j)*-4. Let g = -19 - n. Calculate the greatest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**2 - 43*r - 73. Determine u(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (62916\/1712)\/(12\/(-16))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - 6*(-3*sqrt(102) + sqrt(102))) + 6*sqrt(102)*1)\/(sqrt(54)*2 + sqrt(36)\/sqrt(6)*4).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 4:05 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 4*x + 5. Let i be c(-5). Suppose -153 - 197 = -i*t. Solve t = 5*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03494 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-90) + (-119)\/(-9). Let r = k - -3. What is the highest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -27734*h - 13229119. Give q(-477).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 53 + 3*f - 102 + 155. Suppose 3*u - 3*v = 6, -2*u - 5 + 13 = 2*v. Determine n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6618 + -6621. Let h(a) = 4*a**2 + a. Let d be h(1). Suppose 0*p + d*p = 10. Sort 4, x, -35, p in ascending order.\nAnswer: -35, x, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {g: 2, r: 1, i: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -187094361*q**2 - 161163256 wrt q.\nAnswer: -374188722*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {l: 1, i: 4, q: 2, e: 1, c: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.073 + -0.073. Sort -3, -1, r, 1\/5 in ascending order.\nAnswer: -3, -1, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*w**2 + 288*w**2 - 418*w**2 - 1675*w**2)*(0*w - w + 0*w).\nAnswer: 1662*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.39865 - -3.4. What is f rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 167 - 0.30383427.\nAnswer: 166.69616573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 l when four letters picked without replacement from {p: 5, a: 3, l: 5, h: 4, q: 2}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 509*u + 577*u - u**2.\nAnswer: u**2 + 68*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242 + 176 - 374)*(3 + 1 - 3)*(2*n**2 - 4*n**2 - 3*n**2).\nAnswer: 2200*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94826958 + 1.23.\nAnswer: 94826959.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 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: Find the second derivative of -1230805697*o**3 - 323410235*o wrt o.\nAnswer: -7384834182*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 6146014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 589, 9, -0.1, 0.4, -8189?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -180*z + 8281. Let o be s(46). What is the closest to 0 in -5, 1\/3, o, 8\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 88460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 10\/3, 2, 3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 3*r + 49, -2*z + 201 + 186 = -29*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 110?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(128) + sqrt(343)*2.\nAnswer: 57*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -5, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -51.930504+18\nAnswer: -33.930504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1381255974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23018 + 2*f - 23249 + 48472 to l*f + z and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -162091203.\nAnswer: 810456015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278.8213 decades to months.\nAnswer: 33458.556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/8494 + 543361\/433194. Find the common denominator of 23 and c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 41674446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16590*o*r**3 + 34*o*r - 15*o - 3*r**2 wrt r.\nAnswer: -99540*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, e: 1, c: 2, o: 1, k: 1, s: 1}. What is prob of sequence kteo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = y, 2*s + 3 = 2*y - 3. Let i be 1\/4 + 35\/(-28). Suppose -z - 69 = -73. Put z, s, i in decreasing order.\nAnswer: z, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*p = -234 + 18 - 654 + 9 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 0*f - 6 + 10*f - 15*f - 2*f.\nAnswer: -f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 53 + (0 - (-7)\/(-7))*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -434 - -437. Suppose 28*r + 6*r**w - 20*r + 46*r + 111*r**2 - 156*r**2 = 0. What is r?\nAnswer: 0, 3\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = 0. Suppose s*n + n = 8. What is the smallest common multiple of n and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 68 = 10. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:44 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 - 13*z - 6*z + 3 + 20*z - 2. Let v(i) = -6*i**2 - 3*i**2 - i**2 + i**2 + 3*i + 3. Let l = -15 + 8. What is l*f(x) + 3*v(x)?\nAnswer: x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**4 - 11096*h**3 - h**2 - 1303?\nAnswer: 4*h**3 - 33288*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1776)\/555*54\/360*30\/(-4)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -68. What is the highest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 7. Let a = 13 - c. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 18*r**2 - 20*r + 79. What is z(18)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 1. Suppose -335 = 3*s - 50. Let n = s - -96. Let j(k) = k + 1. Let r(m) = n*j(m) + 2*q(m). What is r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17180012 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (189\/2 - 10\/20). Let y = i - -117. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 3:44 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -1 (c) 7 (d) 1 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/1887 - (-2608)\/6512?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvv when three letters picked without replacement from {m: 8, g: 1, v: 10}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486026.\nAnswer: 2, 487, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - f + 3*f)*(-2 + 1 + 0) + 2*f - 2*f - f - 2*f + 2*f + f - 4*f - 12*f + 2*f + (-3*f + f + 0*f)*(-3 + 4 - 3) to r*f + j and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 - 3*d**2 + 4*d**2)*(-4 + 5 + 0) - 3*d**2 + d**2 + d**2 - 4*d**2 + d**2 + 4*d**2 - 4*d**2 + 2*d**2 - 3*d - 6*d.\nAnswer: -6*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 13 = -3*f, 305 = 49*f + 256 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*j + 33*j + 28. Solve 2 + j = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/28 + -1845*21\/(-12). Let i = -902 + t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j, 3*d + 49 = 2*j + 12. Let b(q) = q**3 + 7*q**2 - 20*q - 12. Let m be b(d). What are the prime factors of 1120\/24 + (-4)\/m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 6*u**2 - u**2 - 4*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:44 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 652 + -652.03. Is h > -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 64310 + 107722. Let z = -688015\/24 + j. Calculate the common denominator of z and 2\/4*(-260)\/(-42).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2384*12\/(-48)*12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) 9 (b) -6 (c) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -676955 smaller than -676955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 19779\nAnswer: -59337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0.5, 2\/125, 0.3.\nAnswer: -0.8, 2\/125, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -w + a + 25, 0 = -2*a - 4. Calculate the remainder when 60 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3493292 (base 10) to base 13.\nAnswer: -95404a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/7 - -9*(-1080)\/12075. Is o > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 0\/(-5))\/((-1)\/(-1)). Solve 4*o - x = i, -2*o + 1 = -2*x + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -399, -824, -1391, -2094, -2927, -3884, -4959?\nAnswer: -6146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 12:40 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 2 - (-2 + -25).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17769915 and 19647?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/328*(-2)\/2*5\/(-2)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27753.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -219*m + 2. Let z be j(0). What is the third smallest value in z, 50, 11, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 21. Let d be c(-6). Suppose o + i + i = -1, 25 = 2*o - 5*i. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 divided by 702?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 11*t - 63. Give l(9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4179 (base 15) to base 2.\nAnswer: 11011000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -13 (b) 1 (c) 3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2608\/7 + -372. Sort -2\/9, -5, r.\nAnswer: -5, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1*(-88)\/(-264)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**3\/2 - 65*m**2 + 525*m\/2 = 0.\nAnswer: 0, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**5\/60 + m**4 + 83*m**3\/6 - m**2 + 19*m. Calculate the remainder when 117 is divided by x(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3687.89855 + 3688. What is c rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-1 - 1*2). Let a(l) be the second derivative of -l**4\/12 - l**3\/6 - l**2\/2 - 79*l. Give a(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4))**(-18)*(r**(2\/7))**(-25) assuming r is positive.\nAnswer: r**(-680\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21\/2 - 193\/18. Which is greater: i or -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o - 40*o + 12*o + 7*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 8*i - 6. Suppose 0 = -i*x - 3*u + 21, 4*u + 5 = 5*u. Suppose 0*a - 20 = -x*a - 2*m, 5*a - 8 = 3*m. Sort a, -3, 0 in decreasing order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 20) + 1 + 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/29680 and 61\/13568?\nAnswer: 474880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 35\/(-2)*612\/(-45)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9814898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 46.81\nAnswer: -1170.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(7\/(840\/10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 9*l**2 + 3*l + 8. Is c(-10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19301351 plus 2441998?\nAnswer: 21743349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 382*g**2 + 1232*g + 7348. Is s(-6) a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1460 divided by -32875\nAnswer: 292\/6575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/849677 + 19677669679\/5098062. Let l = r + -3849. What is the common denominator of 17\/10 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**3*p)\/p*p)**(23\/5)\/(p**(-2)\/((p*p*p*p**(-1\/20)*p)\/p)))**(-13) assuming p is positive.\nAnswer: p**(-8463\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 9811206?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 126*l - 202. Calculate m(4).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**5\/80 + f**4\/16 - f**3\/12 - 4*f + 9. Let g(z) be the first derivative of d(z). Solve g(a) = 0 for a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13312 and 1144.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1452, -2905, -4346, -5775, -7192, -8597?\n\"Answer: 6*i**2 - 1471*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaza when four letters picked without replacement from {z: 1, a: 7, e: 3, t: 5}.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/(5\/(-30)). Let z = -12 - -15. Suppose i + 14 = z*i + 2*j, -i - r*j = -7. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -14. Let h = l - -8. Suppose z - 4*w = -2*z + 99, h*z - 2*w = 132. Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74.16711*0.01.\nAnswer: 0.7416711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 8) to base 3\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/15)\/(2\/(-15)). Solve 3*m + 10 = k*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4)*1*-5*-4.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q. Let j(o) = 35*o - 1745. Let s be j(50). Let b(i) = 3*i**2 + 4*i - 5. Give s*n(d) + b(d).\nAnswer: 3*d**2 - d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-84) + -4 + 1 + 3.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/40 + j**5\/4 - j**4 + 2*j**3 - 153*j**2. Factor x(m).\nAnswer: -3*(m - 2)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167 - -270. Let g = -16 - -2. Let a = g + r. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -45.2?\nAnswer: 135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 10) to base 14.\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -9. Let n(a) = a**3 + 5*a**2 - a - 1. Let w be n(-5). Factor 0*i + z - 2\/7*i**3 + 0*i**2 + 2\/7*i**w.\nAnswer: 2*i**3*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220730 + 213018 = 80*h - 471612. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -668, -3, 0 in decreasing order.\nAnswer: 5, 0, -3, -4, -668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4647 - -223069\/48. Find the common denominator of c and 19\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12536.7 and 0.02.\nAnswer: 12536.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 11:36 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12865472 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/144 + 104\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114402 + 13001?\nAnswer: -101401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 8, i: 10}. What is prob of sequence nii?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -312654501*n**2 - 449357902 wrt n?\nAnswer: -625309002*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5091 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: How many minutes are there between 11:41 PM and 8:09 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:04 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2546047*b**2. Let r(f) = 6*f**2. Determine v(r(i)).\nAnswer: 91657692*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9806 + 9846. Let o(n) = n**3 + 3*n**2 - 2*n + 8. Let a be o(-4). Suppose a*j = -2*j + 12. Calculate the remainder when y is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15418 (base 13) in base 2?\nAnswer: 1001110100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 6*h**2 - 8*h - 3. What is i(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7.1, 530025 in decreasing order.\nAnswer: 530025, -5, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = -z - 4, -3*i + z = -35. Calculate the remainder when 1593 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-66)\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/38 - (-10)\/(-95).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*x - 14 = 4*w, 665*x = 664*x - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -24, -58, -116, -204, -328, -494?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, -0.402, -2\/3, -34\/3?\nAnswer: -0.402","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14344 - -20947. Does 40 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325690 + 936721. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 7888, 0.1, -14?\nAnswer: 7888","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/23)*r**(-2\/5)*r*r*(r**(-6\/19)\/r)**(3\/7) assuming r is positive.\nAnswer: r**(14517\/15295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.7, 1\/7, -3.\nAnswer: -3, -0.7, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 1.6. Let n = 3.1 + -3. Let h = 90 + -88. Sort n, q, h in decreasing order.\nAnswer: h, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.18. Let f = 3 - 2.9. Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150971310 by 2718.\nAnswer: 55545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3 + 14676*t**2 + 176490*t - 661500 = 0.\nAnswer: -15, 3, 7350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(((sqrt(22)*-3)\/sqrt(2) - sqrt(11)) + (sqrt(66)\/sqrt(6) + 0)**2)*-4.\nAnswer: -96*sqrt(11) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 6\/(-3))*-1. Suppose -5*m + 13 - 28 = o*f, m = 4*f - 27. Let d = 15 + m. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -9234?\nAnswer: -9238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14116872 divided by 88?\nAnswer: -160419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o - 52*o = 0, o = -66*n + 33 + 231 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-6) - (-19006)\/156. Let c = w - 121. Calculate the lowest common multiple of c and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = 2. Suppose -g*p - 4*n = -158, -4*n + 322 = 5*p - 91. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 10) to base 2.\nAnswer: -1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in two fifths of a meter?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from mmhhhmhho?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2680583, 10722333, 24125249, 42889331, 67014579, 96500993, 131348573?\nAnswer: 171557319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1460 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*v**3 - 201*v**3 + 399*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4259307)\/(-17577))\/169 + (-27)\/21?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 55. Let q be i(18). Suppose 4*j + q = 13. Suppose 2*m + j*v = -13, -3*m - 16 = 8*v - 7*v. What is the second smallest value in m, 6\/11, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-302 - 4 - 157)*(3 + 0*i - 2*i - 1) - i - 5 + 5 + (0 - 2 + 4)*(-2*i + 0*i + 4*i) + 3*i - 3*i - i.\nAnswer: 928*i - 926","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Let b be (132\/10 - 2\/10) + -3. Suppose s = 2*h - 4*r + 10, -3*h + 2*r = h - b. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.012? (a) 8 (b) -2 (c) 0 (d) -64\/19 (e) 1\/4 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/8 - 9\/(-3). Suppose 6 = -2*j - 18. Let v be j\/f*(-6)\/9. Which is smaller: 4\/7 or v?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 2*t - 37. Calculate j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 - -84. Which is the nearest to 1? (a) 1\/2 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 3:21 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, a: 2, q: 2, z: 1, h: 1}. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/609206 and -139\/25586652.\nAnswer: 25586652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130822*m**3 - 2*m**2 + 8541*m - 3?\nAnswer: 784932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-85)\/(-5))\/((-2)\/(-4)). Let p be (-7 - -7) + 0\/1. Suppose q - 3*q + 5*j = -b, p = 2*j. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34546 and 24032.\nAnswer: 552736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -2\/781, 0.4 in decreasing order.\nAnswer: 4\/7, 0.4, -2\/781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7414000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + 110\/(-8). Let u = p - -8. Let k = u - -19\/3. Is k >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273 (base 8) to base 12.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 343 and 14.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let l(m) = 27*m**2 + 55. What is t(l(c))?\nAnswer: 54*c**2 + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 55 = 3*j + b, 82 = 3*j + 2*b. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**3 + 17780*l**2 - 19515808*l - 539967168 = 0.\nAnswer: -27, 2236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2175795 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*q**5 - 477*q**4 + 3*q**3 - 26361*q**2 wrt q?\nAnswer: -600*q**2 - 11448*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - 3*z)*(0*z**2 + 3*z**2 - 6*z**2 + z).\nAnswer: 12*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -197\/92558 or -1?\nAnswer: -197\/92558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 4958.\nAnswer: 3\/4958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 952 and 59678704.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 36*v**3 + 2 - 91*v**3.\nAnswer: -55*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 40. Let v(z) = z**2 + z - 10. Let o be v(x). Suppose -o*r + 244 = -2*i, i = 5*r - i - 625. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) -5\/6 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19593, 19595, 19597?\nAnswer: 19599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**3 - 316*q**2 + 316*q**2 - q**3)*(-58 - 26 + 7) + 2*q**3 + q**2 - q**2 in the form m*q**3 + l + r*q**2 + w*q and give m.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 63. Let u = k + -64. Let w = u + 32.051. What is w rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2380 and 957712?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(3\/(-21))*1. Suppose -5*c = -2 + j. Let d(o) = o**3 - 1. Let f(t) = 3*t**3 - 4. Determine c*f(w) + 4*d(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(180) - sqrt(180))*6 + -4 + sqrt(180) + -1 + sqrt(180) + 0 + (-5*sqrt(180))**2*-4 + sqrt(180).\nAnswer: -18059 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 4*n - 87, -187*n = -3*h - 190*n + 72 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1))**6*(c**(-5)\/c)\/(((c*c*c*c*c\/(((c\/(c*c\/(c**(1\/2)\/c)*c))\/c)\/c)*c)\/c)\/c)*(((c*c**(-6))\/c)\/(c**(-7)*c))**(-8) assuming c is positive.\nAnswer: c**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -24 (c) -2 (d) 6 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + -16 + 5 + 6. Suppose -m*u + 70 = -3*f, u - 47 = -0*f + 2*f. Is -24 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i**3 - 7*i - 41. Let w(d) = -3*d**3 + 2*d + 14. Let s(y) = 2*t(y) + 7*w(y). Find the first derivative of s(c) wrt c.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p + 11. Let k(h) = 17*h - 23. Let q(a) = -2*k(a) - 5*x(a). Differentiate q(y) with respect to y.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/7 - 15207*n**3\/7 - 365661*n**2\/7 + 1781887*n\/7 + 304620 = 0. What is n?\nAnswer: -28, -1, 5, 15231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:41 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5 + 9*y**4 + 39*y**3 - 29*y**2 - 90*y + 72 = 0. What is y?\nAnswer: -3, -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = -4*v - 26, -4*v + a - 30 = 0. Let w = 9 - v. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*a + 1416*a + 1177748 - 278608 = -5857*a for a.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -6 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90975, -90977, -90979, -90981, -90983, -90985?\nAnswer: -90987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*4 - 99\/18. Which is greater: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by ((-5)\/3)\/(2 + 114\/(-54))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3657959 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4\/11*z + 6\/11*z**3 + 10\/11*z**2 + 0 - 2\/11*z**5 - 2\/11*z**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*r - 5*x = 326*r - 19085, -19109 = -2*r + 3*x. List the prime factors of r.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*sqrt(1331)*2 + -1).\nAnswer: -220*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 (base 8) in base 10?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 20*u - 39. Let f be g(-19). Let v = f - -20. Let i be ((-36)\/16 - -2)*v. Let j(b) = -b**2 - 9. What is j(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-312)\/(-1014) + 3324950\/26 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-1)*180\/216.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 78.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000000 + 100010?\nAnswer: 1011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + 36. Let s = n - -21. Solve 3*d = -2*o - 6 - 7, -5*o - s*d = 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31427431309560217.00000007 - 31427436431613207. Let d = -5122052968 - q. Let p = 22 - d. Round p to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103472, 827740, 2793560, 6621692, 12932896?\nAnswer: 22347932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h - 4. Let l be u(-5). Suppose 0 = 4*r + 1 - l. Solve 2*n + 5 + r = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -8, 5*h + 7 = 3*x - 13. Suppose x = -3*k + 7 + 8. Suppose -20 = -4*f + 2*p, 2*p = 2*f - 4*f + 10. Is f at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 54*i + 104*i**2 - 137*i**2 - 228*i**2 - 26*i**4 - 236*i**3 - 7*i**4 + 44*i**3 = 0. What is i?\nAnswer: -3, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7 = -214 + 11. What is the greatest common factor of 1428 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -5*p - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((43\/(-6))\/43)\/((6\/4)\/((-1782)\/2904))\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1829 in 5, -1\/2, -0.19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -0.056 (c) -9\/5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from {h: 2, i: 9}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*n - 202, -4*g + n + 4*n + 172 = 0. Suppose -3*h + 33 = 2*c, 2*h = c + c - g. Solve 4*u - 5 = q + 1, 0 = 4*q + 5*u - c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvm when four letters picked without replacement from mvmmmvmmlmllmvml?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-5))\/(28\/(-20)). Let h = -0.23 + 0.08. Let x = h - -0.05. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.9 - -5.78. What is the second smallest value in -3\/4, -1, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:06 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 9*s**2 + 17*s - 1. Let i be a(10). Suppose -5*r + i = 3*x, 5*x = -2*r + 458 + 3. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -5584 - (27 + -28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 101*t**2 + 9*t - 2. Let b(g) = -2*g**2 - 8*g. Determine -b(n) + f(n).\nAnswer: 103*n**2 + 17*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - w - 2 + 7 + (5*w - 3*w - 4*w)*(-1 + 4 - 1) + 0*w + w + w.\nAnswer: -3*w + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14006*k + 14006*k + 224*k**4)*(k - 4 + 4 + (-2*k - k + 18*k)*(-3 + 1 + 0)).\nAnswer: -6496*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.1, -4, 4, 433, -0.4.\nAnswer: -4, -0.4, 4, 11.1, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*p**3 + 3*p**2 + 11*p - 3.\nAnswer: -(p - 1)*(p + 1)*(11*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5 - 0. Let x = -245 - -241. Let t be -5 - (2\/6*9 + x). Let a(c) = -10*c**2 - 5. Let i(g) = -9*g**2 - 4. Give s*i(z) + t*a(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*r - 5*h + 99 = -289*r, -4*h = -5*r + 379. What is the remainder when 242 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h - h)*(2 - 5 + 1)*(4*h - 4*h + 4*h).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -62 and 348407184.\nAnswer: 348407122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11334 is divided by 189?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**6\/1440 + l**5\/240 + 25*l**3\/6 + 24*l**2. Let p(i) be the first derivative of m(i). Factor p(h).\nAnswer: h*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + d**2 + 490*d**3 - 252*d**3 - 196*d**3.\nAnswer: 42*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -302 and 251?\nAnswer: -75802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10 + (-3 - 8) - (-6 + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**4 - 22319*v**3 + 2*v**2 - 28*v + 1183 wrt v?\nAnswer: 96*v - 133914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1115.5 - -1115.4. Sort 32\/13, -0.2, -2\/5, y, 0.3 in decreasing order.\nAnswer: 32\/13, 0.3, y, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26*1.1.\nAnswer: 0.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*c + c - 11, 10 = 2*r. Suppose -4*p + 16 = -c*k, 2*p + 8*k + 16 = 3*k. Suppose 20 = 5*v + 4*m - p, -v + 14 = 4*m. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r + 12. Let s(u) = u + 3. Suppose 0*m + 4*m = -8. Let x(y) = -56*y + 121. Let p be x(2). Let o(c) = m*g(c) + p*s(c). Calculate o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*l**2 + 51*l**2 + 2*l**2 to the form z*l**2 + n*l + u and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20237, 40523, 60799, 81059, 101297, 121507?\n\"Answer: -h**3 + h**2 + 20290*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {i: 2, b: 8, r: 9}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(((-6)\/(-300))\/((-6)\/(-45)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -428 - -431. Let d = -1 - -2. Solve 3 = 3*g + 3*l, -2*l = -2*g + d - h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008469069279 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (10 - 22) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1302 = -7*g + 427. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0*(-4)\/(-8). Suppose p = 5*r - 5*f - 210, -4*r = 3*f - 0*f - 203. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 - (99 + (-144 - 79)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3710900 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666475941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*r - 600. Suppose 20 + r = c. What is the units digit of c\/25 - 4\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1490832809 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/17604 and 119\/704160?\nAnswer: 704160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 7 + 2 = -0*y, 2*c - 769*y = -774*y + 3 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxff when four letters picked without replacement from {o: 7, f: 8, b: 2, x: 1}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-50)*2340\/624?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13733)\/(-4) - (-13)\/(-208)*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 473, -2, 0, -17, 1, 8 in decreasing order.\nAnswer: 473, 8, 1, 0, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62 times -0.2?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 145*k**2 - 1140*k + 2700.\nAnswer: -5*(k - 18)*(k - 6)*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6252 + 6272. Solve -f = -5*h - 5*w, 5*h - 3*w - 10 = 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1423889 to the nearest 1000.\nAnswer: 1424000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1984 and 19034?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 68, 280, 692, 1370, 2380?\nAnswer: 3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:05 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, h: 2}. Give prob of picking 3 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 100693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by -2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18d15 (base 14) to base 4\nAnswer: 33113113","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -216 times 55?\nAnswer: -11880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.29935525 - 0.2?\nAnswer: -42.49935525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 496?\nAnswer: -148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -30. What is the greatest common factor of 34 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -16*h + 3\/2*h**2 - 10. Determine g(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (90\/60)\/(2\/4). Suppose 0 = -2*j - j - 4*i + 544, -q*j + i + 539 = 0. What is the highest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5155 and 84584271.\nAnswer: 422921355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + sqrt(252)*1*5)**2*1 + 5.\nAnswer: 9077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328 - 346. Is (-8)\/q + (-1767701)\/(-117) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1989 times -0.05\nAnswer: -99.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**2\/5 - 15489*j\/5 - 61716 = 0?\nAnswer: -5143, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**2 - 40*x - 5. Determine w(-10).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -15*q - 13. What is k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -239 * 585\nAnswer: -139815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 16 = -10. Let d(q) be the second derivative of 0*q**3 - a*q + 3\/2*q**2 + 1\/4*q**5 + 0*q**4 + 0. What is the derivative of d(i) wrt i?\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30425 - 8*s + 55*s - 30428.\nAnswer: 47*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3 - 29. Let z = 10 + m. Solve z*y + 3*r - 10 = 4*y, -y = 3*r + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*k**5 + 64047*k**4 - 17*k**3 + 45*k**2 + k - 11903 wrt k?\nAnswer: -660*k**2 + 1537128*k - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 4897*f**3 - 2*f**2 - 2136*f**3.\nAnswer: -7033*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, a: 2, u: 2, e: 3}. Give prob of picking 1 a, 2 d, and 1 e.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(23*m**5 + 83 - 83) - 1 + 1 + 3*m**5 + (0*m**4 - 2*m**5 + 0*m**4)*(-1 + 3 - 4).\nAnswer: 53*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -s - 2*s. Find the common denominator of (-12)\/(-36) - 113\/18 and (-345)\/s + 4\/(-14).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5 + 2 + 2 - 3 - 2 + 2 + 1 + (-4 + 2 + 3)*(-2 + 2 - 2) - 1 - 3 + 2 + 0 - 1 + 0 + 2 - 5 - 1)*(3*i**4 + 0*i**4 - 6*i**4) - 1 + 3*i**4 + 1.\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36446 is divided by 7151?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v**3\/9 + 2478*v**2 - 357266*v + 48672 = 0.\nAnswer: -624, 3\/22, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52500 - -86798. List the prime factors of v.\nAnswer: 2, 11, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 574 = 4*l + 47, j + l + 109 = 0. Let r = j - -129. Solve 12*n = n + r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 112791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-278)\/110 - (-2)\/(-10). Let k = d - -329\/44. Find the common denominator of k and 4*4\/(-348)*-30.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 231*f**2 - 441*f + 2612. Determine b(-79).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwd when three letters picked without replacement from wydod.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 0.3 (c) 0 (d) 5 (e) 0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*h*i**2 + 1001*h + 3*i**2 wrt i?\nAnswer: 110*h*i + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1586, 1 in descending order.\nAnswer: 1, -9, -1586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 33. Suppose -t = -3*p - 0*p - d, 0 = 2*t + 3*p + 5. Solve 0 = 5*u + 2*c + 1 - 3, -3*c + 3 = -t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 4*m + 2*m**2 + 0*m)*(289 + 234 - 412) as l + n*m**2 + s*m and give n.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/60 - k**4\/6 - k**2. Let m be z(4). Suppose m = -2*w - t + 42, t + 87 + 25 = 5*w. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 7*s - 10. Let m(f) = 2*f**2 + 3*f - 5. What is -6*d(y) + 13*m(y)?\nAnswer: 8*y**2 - 3*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-12) - (-766)\/(-4). Let w = h + 310. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 24, 34 in descending order.\nAnswer: 34, 24, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144.7 - 154. Let m = v + 9. What is the closest to -5 in m, 0, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -575 - -581. Calculate the greatest common divisor of 54 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaedearrsdeedra. What is prob of sequence da?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26291456 * -2.\nAnswer: 52582912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 9 - (-11 + 2) - 10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 14. Suppose -2*n = -12 - 16. What is the lowest common multiple of n and (60\/(-9))\/(4\/s)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -466 (base 7) to base 8\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*h + 16 = 0, -17 = -3*n + 4*h - 0*h. Suppose -2*u = -2*b + 742, n - 2 = -u. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232978173 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (735521*p + 2*p**2 - 1013 - 735521*p)*(-p + 3*p + 0*p) - 2*p**3 + 8*p - 8*p in the form v*p**2 + f + j*p**3 + z*p and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -17 + 5. Let j be -4*3\/y + 1. What is the second derivative of -c + 21*c**2 + 2*c**j - 21*c**2 wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11035 + -1177. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/(-800))\/(45\/(-10))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + ((sqrt(272) + 1 - sqrt(272) - (sqrt(17) - sqrt(17)*1*-3)) + -3)**2 + -3).\nAnswer: -819 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/12 + 5*w**3\/3 + w**2 + w. Let f be r(10). Solve -5*g = -4*u - 36, -4 + 0 = -3*g - f*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.46. Let a = v + -0.36. Round a to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5000) - (-2 + 4 + sqrt(5000) + sqrt(5000))) + sqrt(5000) + sqrt(5000) + 4)*-4)**2.\nAnswer: 3200*sqrt(2) + 80064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2016.3731 + -2012.7330884. Let q = -3.64 + a. What is q rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*d - 1 = 0, 60 - 23 = -3*t - 5*d. Let a = 4 + t. Let i**4 - i**5 + 4*i + 2*i**3 + 1 + a - 2*i**2 - 5*i = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3609671 divided by -116441?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 43. Suppose -3 = -v - 0*v. Solve v*z + 0*z = x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-3 - 1 - (-10 + -14 - -23))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offefeffoe. What is prob of sequence foff?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8727878 + -5.\nAnswer: -8727883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/20 + z**4\/3 - 4*z**3\/3 - 8*z**2 + 205*z. Give g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 606, 1201, 1796, 2391, 2986, 3581?\n\"Answer: 595*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-170)\/6)\/(4\/12). Let b = m - -88. Suppose -267 = -0*d - b*d. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-293)\/(-5567)*38\/(-20)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/15 + (-26)\/(-6). Let d(i) = -4 + i + y*i**2 + i**2 + 3. What is d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -8. Solve j - 1 = -t*d, -2*d + 2*j = 3*d - 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + a - 4, 0 = -a - 7 + 11 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/17 + -49\/51. Let k = 43.8 - 44. What is the closest to k in m, 3, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44.4 - 36. Let i = j - 3. Let r = i + -1.4. Which is the nearest to 0? (a) -1\/6 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/(9\/(-6) + 3). Let c = z - 0. Suppose 0 = 2*j - 4*a - c, 0 = 4*a - 9*a - 10. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 = 3, 5*r = -5*q + 617380. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 10*j + 362 - 100*j - 362.\nAnswer: j**2 - 110*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u - 16*u - 53*u + 6428994 = 0. Is u a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114248.\nAnswer: 2, 3, 17, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 17, -38?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9900, -30 in descending order.\nAnswer: 9900, 5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a litre in millilitres?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 102380 = -94700. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h - 25*h = 20*h. Suppose -4*y = -12, r - 2*r - 4*y + 52 = h. Is 42 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/3 - 112374*c**4 + 112373*c**3 + 674242*c**2\/3 = 0.\nAnswer: -1, 0, 2, 337121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 11*d**2 + 67*d - 1520. Give q(15).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21918 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2096, -2095, -2094, -2093, -2092, -2091?\nAnswer: -2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 683177, 1366262, 2049347?\n\"Answer: 683085*b + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3442982577*f + 3442982577*f + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120.17 - -119. Let y = 0.77 + v. Which is the fourth smallest value? (a) -0.02 (b) -0.8 (c) 1\/2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 19*l - 4. Let v be l\/(3 + (-3 - 1)). Solve -v*o + 6 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0*k**6 + 0*k**7 + 0*k**2 - 1\/56*k**8 + 0*k**5 + 0*k**3 - 3*k + 1\/6*k**4 + 0. What is the third derivative of d(b) wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12201 (base 3) to base 6.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -270*(11\/(-2) - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 165, 0.4, 0.1, 0, -2\/7 in descending order.\nAnswer: 165, 0.4, 0.1, 0, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(5 + (sqrt(19) - (-5 + sqrt(19) + -2)**2) + 3 + sqrt(95)\/(sqrt(405) + sqrt(405) + sqrt(405)*-1)).\nAnswer: -177 + 136*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3961 and 1343?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -19*d - 964. Let w = -6 - -40. What is the remainder when w is divided by p(-51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (1 + -3) - ((-322 - -164) + 224)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -23. Let p be 1*7\/(-14) - -2. Which is smaller: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -2) + -4 + 6. Suppose 4*x - d + 4*d + 12 = 0, 2*x + 6 = -u*d. Let a(f) = f**3 + 3*f**2 - 4*f - 4. Calculate a(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 4.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8964 + 22558. What are the prime factors of i?\nAnswer: 2, 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2168899 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.06, 2, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + (-96)\/(-27) + (-54 - -48) and -27\/626.\nAnswer: 5634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-2)\/84) + 1 + 1. Let n = 58 - x. Calculate the common denominator of 145\/((-1085)\/n - 2\/4) and -29\/2.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v - 2\/21*v**4 + 0 - 1\/105*v**7 - 3\/70*v**6 - 1\/1176*v**8 - 20*v**2 + 0*v**3 - 2\/21*v**5. Factor p(b).\nAnswer: -2*b*(b + 1)*(b + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.35152 centuries to years.\nAnswer: 3835.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {s: 4, v: 4, w: 1, k: 1, i: 1, a: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:30 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 862264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3 + 1412538*s**2 - 45204288*s = 0?\nAnswer: -470878, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.118 + 20.889. What is z rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/270)\/((-16)\/12)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 448792566 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 529, 450, 371, 292?\n\"Answer: -79*l + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpbhs. What is prob of sequence ht?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 + 3 = -u, 5 = -5*u. Solve 3*l + 11 = v, -p*l - 2*v = -6*v + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 + 65*x**2 + 130*x + 2939. What is k(-29)?\nAnswer: 5056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b**2 + 138*b + 195. Give p(15).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g + 8. Let n(d) = -59*d - 72. Let f(i) = 20*i + 24. Let k(x) = 7*f(x) + 2*n(x). Let z(q) = -3*k(q) + 8*t(q). What is the derivative of z(m) wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/19424 and 97\/12140?\nAnswer: 97120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 7 + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alyozyzioozozzo. What is prob of picking 1 z, 1 y, and 1 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -40*(-1 + (-6)\/(-10)). Let m be (10\/(-4))\/(5\/40). Let o be (-2)\/10 + (-64)\/m. Solve o*r = -7 + j, 0 = 3*s + 2*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 658 + 2*z - 999 - 3*z - 4*z + 628.\nAnswer: -7*z + 287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 5, 30, 8, 2\/3 in descending order.\nAnswer: 30, 8, 5, 2\/3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 0*n**3 + 32 - n**3 - n**3.\nAnswer: -4*n**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -2212?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:32 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*d - 2, -3*h + 13 = -d - 3. Let g = h - 4. Suppose 2*v - 6*v + 8 = 0. Do v and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1306030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/80 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 2 - (1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 4804891.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*h**3 - 2*h**2 - 62*h.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rryyrrrrrrrr. What is prob of picking 2 y and 1 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/19 - 14824*b\/19 + 487014\/19.\nAnswer: 2*(b - 7379)*(b - 33)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 4*z + 1. Let h(y) = 12*y - 61. Let o be h(6). Let p(t) = 3*t**2 - 11*t + 2. Give o*g(u) - 4*p(u).\nAnswer: -u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -863*t**3 - 6*t**2 + 3*t + 6. Let m(s) = 1232366*s**3 + 8570*s**2 - 4285*s - 8570. Calculate -8570*l(u) - 6*m(u).\nAnswer: 1714*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008380 divided by 5.\nAnswer: -201676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/(-5) - 3*-1. Sort -3, h, 2 in ascending order.\nAnswer: h, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25880119 - 1027.\nAnswer: -25881146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1047556 + 299.\nAnswer: 1047855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*t = -194, 3*z + 248 = 8*z - 3*t. Suppose -5*m = 16 + z. Let r = -1 - m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7\/4)*h*h\/h**9*(h*h**5*h)\/h**6 assuming h is positive.\nAnswer: h**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r**2 - 20*r - 7. Let i(x) = -2*x**2 - 6*x - 2. Let s(q) = 2*g(q) - 7*i(q). Suppose -2*c - c = 0. Suppose c*m + 3*m + 6 = 0. What is s(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 3*h**2 + h + 3. Let x be y(-3). Let a be (15\/30)\/((-1)\/2). Suppose 0 = -4*k - o + 22, -3*k + 0*o + 13 = -o. Sort x, k, a in increasing order.\nAnswer: a, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75162660?\nAnswer: 2, 3, 5, 1252711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 = -2*m. Let y(z) = -12*z**m + z**2 + 7*z**2. Let v(j) = -j**2. What is y(v(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let y(o) = -o**2 - 3*o + 3. Let f be y(-3). Let w = 793\/165 - 1024\/165. Which is the second smallest value? (a) f (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Let w(k) = k**3 - 4*k - 3*k**2 - k**3 - k**v - 3. Let s be w(-3). Solve 0 = 3*c + s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, 0.5, 2, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 357 + 103. Let u = -41 + p. Suppose 0*q = -r + 2*q + 108, u*r - 3*q - 540 = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 2310*n + 2313.\nAnswer: -3*(n - 771)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/540)\/(896\/(-288))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 273*p**4\/5 - 2199*p**3\/5 + 4488*p**2\/5 - 48*p.\nAnswer: 3*p*(p - 4)**2*(91*p - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*c - 5988923467 + 25698923467. Round c to the nearest 1000000.\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let p(m) = 3*m**2 + 4*m. Let a(d) = -21*d**2 - 27*d. Let s(b) = z*a(b) + 27*p(b). Let g(y) = 2*y**2. What is g(s(t))?\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/7 - -9\/35. Suppose 5*u - 2*u = s + 8, -2*u + 8 = 0. Let o be 1\/s + 21\/12. Which is the nearest to k? (a) 2\/7 (b) o (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 1 s when three letters picked without replacement from celcsasa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 6 (c) -4\/3 (d) -15 (e) 0.02624\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -0.1328?\nAnswer: -3.8672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.20081 - -2.79919. What is the closest to -2 in 1\/3, -15, p, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -17*x**3 + 14*x**2 + 11*x - 11. Let y(c) = c**3 + c**3 + 4 + 3*c**2 + 4*c**3 - 4*c - 8*c**2. Suppose -9*m = -6*m - 33. Determine m*y(i) + 4*j(i).\nAnswer: -2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 654 = 2. Suppose -5*h - 2*n + u = n, -3*h + 4*n = -92. What is the remainder when 127 is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138734904 by -300292.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 89. Let a(v) = 5*v**2 - 3*v - 2. Let p be a(4). Let l be 4\/6*p\/4. Calculate the greatest common divisor of l and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = -33*z + 29 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5266504 or -5266503?\nAnswer: -5266503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -191. Solve 5*k = 2*i - 10 - 6, 3*k = -4*i - n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16264 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*o**3 + 315 - o**4 - 196 - 425 with respect to o.\nAnswer: -4*o**3 - 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -2\/7, -9620, 3\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9456 and 3.49?\nAnswer: 9452.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmsz when four letters picked without replacement from {z: 2, m: 5, o: 2, s: 3, j: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 o, and 1 f when three letters picked without replacement from {a: 1, u: 1, f: 1, o: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 9*d**2 + 38*d - 24. Determine c(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(22737\/(-1892) + 12) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 913*d*v**6 + 29*d - 40*v**6 + 7*v**3 + 3693*v**2 wrt v.\nAnswer: 109560*d*v**3 - 4800*v**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3481105*-0.4.\nAnswer: 1392442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3377*a - 1 + 1109*a + 1 + 1158*a + 1177*a.\nAnswer: 67*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3501 (base 10) in base 16?\nAnswer: -dad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + -2 + 10 + -14 + 19?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/((-6)\/(-36))*-10. Let p = u - -51. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -2, 0 in ascending order.\nAnswer: -24, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 121221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuutkhuku. Give prob of picking 1 h and 2 u.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -7*x + 5*x. Let o = 79 - x. Suppose 3*p - 3*g + 4*g - 7 = 0, -4*g = -5*p + o. Solve -p*s - 12 - 8 = -3*j, 5*j = -s + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 527*j**5*p**3 + j**5*p + j**2*p + j*p**3 + 290*j*p wrt j.\nAnswer: 31620*j**2*p**3 + 60*j**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z - 3*z + 0*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 2*b - 3. Suppose -2*m + 6*m = -16. Calculate the remainder when w(m) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - a38?\nAnswer: -a3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 - -415. Suppose l - q = -4*l. What are the prime factors of l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 217848513 and -2.\nAnswer: 217848511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10101100100110 (base 2) to base 11\nAnswer: -8332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 856937990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) 39 (c) 2.3 (d) -2.5 (e) -13 (f) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-36) + 98\/3. Let u be 6\/(-33) - 324\/v. Let k(h) = h + 3. Let b be k(u). Is b less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1335 + -115?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.561?\nAnswer: 0.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h + 191 - 115 - 76.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 15\/6*-14. Let j = g - 26. Let d(y) = y**2 - 4*y - 9. Let l be d(j). Solve -5*f = -l*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3079 = 3*d - 1517. Suppose -548 = -8*c - d. What is the tens digit of c*((-2)\/(-6))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-2)*8*(-11)\/(-396)*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7\/t*t**(-3)*t)\/((t**(-4)\/t)\/(t\/(t\/t**(-5))))*(t**(-1\/3)*((t*(t*t**(-7\/5))\/t*t)\/t*t)\/t*t*t)\/(t*t**(1\/3)*t)**(-35) assuming t is positive.\nAnswer: t**(1304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1387008 and 3784.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 60 and -0.15.\nAnswer: 59.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -108. Let s = p - -97. Suppose a + s*a = 16. Solve 0*l - a = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, p: 2}. What is prob of picking 4 v?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 6016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f**4 - f)*(-851 - 875 + 5*f + 1682).\nAnswer: -5*f**5 + 44*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*28.75.\nAnswer: 517.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 225*z + 228.\nAnswer: -3*(z - 1)*(z + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -14*c**2 + 14*c - 9465. Let h(f) = -5*f**2 + 5*f - 3155. Let u(v) = 11*h(v) - 4*m(v). Let a be u(0). Suppose -6*g + g + a = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-2\/9)))**(2\/7)\/((h**(-2)\/h)\/h**2))**(-25) assuming h is positive.\nAnswer: h**(-7775\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 96*q. Let i(p) be the third derivative of -p**4\/24 + 16*p**2 + 3*p. What is i(r(z))?\nAnswer: z**2 - 96*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 34+1.35\nAnswer: 35.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/35 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 519, 512, 503, 492?\n\"Answer: -x**2 - 4*x + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, and 2 l when four letters picked without replacement from {c: 1, l: 11, w: 5}?\nAnswer: 55\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 1. Let x be h(-2). Suppose -5 = 4*q - o, 4*q = q + 4*o - 7. Suppose -8*n = -12*n - 16. Put n, x, q in decreasing order.\nAnswer: x, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5169*x**2 + 2590*x**2 + 2578*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 17*k + 412. Let g be c(-24). Put -769, g, 0, 1 in ascending order.\nAnswer: -769, 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 51*m**3 - 173 - 13*m**2 + 1\/4*m**4 + 0*m. Find the second derivative of x(r) wrt r.\nAnswer: 6*r + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 2*r**2 + 7. Let b be z(0). Let t(s) = s**3 - 8*s**2 + 8*s + 6. Let c be t(b). Solve 0 = 10*l - c*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-8)\/10)*-4. Let o(b) = -4*b**2 + 5*b**3 - 6*b**3 + 2*b + 10 + 5*b + 0*b. Let h be o(y). Solve -2*k = -h*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(-4 + -5 + -2*sqrt(162) + sqrt(162) - (3 + 0 + sqrt(162) + (-4*(sqrt(162) + -1 + sqrt(162)))**2))*6.\nAnswer: -187125 + 10044*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -4028.\nAnswer: -1\/4028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -13 + 1. Suppose 0 = -0*q + 4*q - 4. Let w = q - o. Solve -3*h - 4 - w = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647484127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9))**11*(k**4*k)\/(k\/k**(-2)*k))**(-2\/43) assuming k is positive.\nAnswer: k**(-62\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let f be (2\/(-5))\/((-12)\/70). Let v = f - 5\/3. Which is greater: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4356614638 plus 4?\nAnswer: -4356614634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - -13 - (-1 - -1 - 12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - d + 5*d)*(d**3 - d**3 + d**4) - 509*d**5 + 855*d**5 - 1028*d**5.\nAnswer: -683*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2837723.49 nanoseconds to weeks.\nAnswer: 0.000000004692003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 9369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 80*l**2 + 1051*l + 358. Determine g(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + -1)*3\/6. Let x be 64\/(-48)*(g + 1). Suppose -m + 57 = 3*d + 2*d, -x*m - 2*d = -300. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 9*y - 9. Let u be (-4)\/4*-57 + y. Let j = u - 19. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1136 divide 425772881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.0486 * -21\nAnswer: 1.0206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -5, -31\/6, -2\/5, 73 in decreasing order.\nAnswer: 73, -1\/4, -2\/5, -5, -31\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 3*w + 3. Suppose u - 15 = 4*p, 5*u - 4*p + p - 41 = 0. Is 12 a factor of b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2532558728 and 938.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -18 + 11*z - 31*z + 53 - 2*z**2 + 8*z + 3*z**2. What is o(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -10 - 0 - 15) + -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(756)\/(sqrt(12) + sqrt(96)\/sqrt(2)) + -3.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 44*s + 1. Let p be g(1). Let c be 0 + 6\/(-15) - (-378)\/p. Suppose -c*w + 4*w = -436. List the prime factors of w.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:45 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, -43, -11, 1 in descending order.\nAnswer: 4, 3, 1, -1, -11, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqqq when four letters picked without replacement from huqoqoqoohunhoo.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 80*i**2 - 1. Let q(x) = -2*x. Give q(k(d)).\nAnswer: -160*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -105*p - 38. Let l be r(4). Let u = l - -688. List the prime factors of u.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26682 or 53365\/2?\nAnswer: 53365\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 13*h**4 + 6*h**3 - h**4 - 3*h**4 - 6*h**4 - 6*h**4.\nAnswer: -3*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/18)\/((-30)\/(-135)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11274 by -3.\nAnswer: -3758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u = a - 15, -u - 2*a + 2 = 0. Let i be -1*u - 600\/(-30). Let s be (3 + -4)*(-14 - 0). Is s greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = -3*l, 0*m + 11 = -m + 4*l. Let z(q) = -2042 + 2042 + q. Suppose 0*x - 5 = 5*x. Let h(a) = -2*a - 2. Calculate m*z(p) + x*h(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2018*z - 2183*z + 445*z - 1990*z.\nAnswer: -5746*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3 = 5*t. Let f = 4 - 2. Let p be (f\/(-6))\/((-5)\/45). Solve t*n = 4*s + 15, -2*s - 17 + 2 = -p*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3611282988\nAnswer: -3611282989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 12 - 1326*n + 33 - 72 as m*n + o and give m.\nAnswer: -1326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8406?\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(-1 + 4 - 4) + 1 + 0 + 0 + 0 + 0 + 3)*(234 - 240 - 2*p**2 + 10*p**2).\nAnswer: 24*p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28.893 + 0.1\nAnswer: -28.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -717*h**2 - 448*h**2 + 67*h**2 + 5*h**2 + h as w + c*h + q*h**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-5246)\/(-387))\/(2\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82628.\nAnswer: 2, 7, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q + 12. Let o = 7 - q. Suppose o*f + 2*v - 8 - 6 = 0, -3*v - 23 = -5*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 76 - 23 + 2*z)*(2*z**3 - 4*z + z**4 + 4*z).\nAnswer: 2*z**5 + 18*z**4 + 28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-3)*38\/(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.64654 + 4.\nAnswer: -49.64654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -321711\/8 + 40214. Put -450, 2, -3, j in ascending order.\nAnswer: -450, -3, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*x - 20*h**2 - h*x - 399631*x - 14093 wrt x.\nAnswer: -2*h**2 - h - 399631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.1 times 0.189779?\nAnswer: 2.8656629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1799 - 449. Suppose h = 7*h + r. What is the common denominator of -81\/14 and (3\/(-20))\/(6\/h)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4 - (-21)\/(-6). Let p be (-1)\/(i\/2 - -2). Find f such that -14*f**2 - f + 5*f**p - 2*f = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let i(m) = m**2 - 1. Let l(b) = a(b) + 3*i(b). Let r(v) be the first derivative of l(v). What is the tens digit of r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 9 + 7)*((4 - 3 - 2)*(2*i**3 - i**3 + 0*i**3) + 0*i**3 + 3*i**3 + i**3) in the form d*i + u*i**2 + t*i**3 + f and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (191*b**3 - 94*b**3 - 3*b**4 - 80*b**3)*(-10*b + 0*b + 2*b).\nAnswer: 24*b**5 - 136*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6905*v + p + 118 = -6847*v, 5*v + 2*p = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (89 - -2) + -132 + 69 + 49.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 2031, 4572, 8129, 12702?\nAnswer: 18291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.52 (b) 2\/7 (c) 3 (d) 4 (e) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 2}. What is prob of picking 1 i and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqqa when four letters picked without replacement from aaaaaqqaqqa?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y + 0*y**3 - 32*y + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1031720 or 0?\nAnswer: 1\/1031720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 2*l - 1. Let q(b) = -b**2 + 1. Determine -n(t) - 2*q(t).\nAnswer: -t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 1. Let x be w(3). Determine o, given that o - 2*o + o - 3*o + o**x + 2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 u when four letters picked without replacement from {w: 14, n: 1, u: 5}.\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 8 in increasing order.\nAnswer: -8, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2\/7 + 745770*h - 324434187525 = 0.\nAnswer: 870065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -10 + (-29 + 14 - -59) + -5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -76.6. Put -4, -0.3, u, -3 in descending order.\nAnswer: u, -0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d. Suppose 2*n + 2*n - 8 = 0. Let w(f) = -f + 0*f + 2*f - n*f. Calculate w(v(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4053037\nAnswer: -4053033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (95\/76)\/((-2)\/(-8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 23*b**3 - 2*b**2 + 4*b - 1. Is 3 a factor of x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30109 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82407173 and 6621?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2723*l + 1873421. What is r(688)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 10 - 99*l**3 + 0*l - l**2 - 118*l**3 + 7*l**2 + 216*l**3. Calculate c(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85998 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-120))\/((-138)\/1794). Let x(d) be the third derivative of 3\/8*d**4 + 0*d**3 - 17*d**2 + w*d**5 + 0*d + 0. Find the second derivative of x(a) wrt a.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 - 4*b**2 + 6*b - 4. What is the smallest common multiple of t(2) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/1509 - 4535\/6036. Let d = 0.26 - 0.2. Which is the closest to -1? (a) f (b) d (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/35 in 0, -308, 275, 0.4, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1231340 (base 5) to base 11\nAnswer: 17011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476 and 3382592?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206550 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 10 + -3*(10 - 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-586)\/(-7618)*(-3926)\/(-444) and 97\/555.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 = -22*b + 25*b + 41*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4632 and 401295636?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*z - 2 + 5, -2*c = 4*z. Put -93, -4, c in decreasing order.\nAnswer: c, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 15*y**2 - 19*y + 109. Calculate m(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -855*f + 793*f + 434 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 99 - 117 + 161 = 0. Solve -60 + 50 = d*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4. Suppose -4*r = -a*z - z - 13, -z - r = 8. Is -9 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 = -3*b, 2*b + 21 = 5*l + 6*b. Put l, -4, 5, -5 in decreasing order.\nAnswer: 5, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0091 * 242.\nAnswer: 2.2022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989170 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 553316022 to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.3 (b) -108 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 671856 or 672125?\nAnswer: 671856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*k + 524 = 68. Let j(i) = i**3 - 7*i**2 + 3*i - 4. Determine j(k).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**3 + 2*k**2 - 6. Let n = 16 - 33. Let s(m) = 26*m**3 + 6*m**2 - 17. Let a(f) = n*z(f) + 6*s(f). What is the third derivative of a(v) wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.2 + 50.7. What is the third smallest value in 2\/15, 13, i?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 334 + 0?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*104009\nAnswer: -31202.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiniiiinii. Give prob of sequence iii.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 478999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*n - 2*j + 101, -82 = 5*n + 2*j. Let h be (32\/10)\/(n\/(-40)). Let a = 35 - h. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(220\/(-5))*-4\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001643 to 7 dps.\nAnswer: 0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + 3 + -2 + (3 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.673 - -6116.53?\nAnswer: 6118.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*m + 4, -2*n - 20 = 3*n. Let u = 80 - 85.15. Let y = u + 0.15. What is the closest to 0 in m, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 970945 + 80455. What is c rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n. Let c(p) = -p**2. Suppose -15 = 5*v, -5*f - 5*v + 24 - 4 = 0. Let k(u) = u**2. Let m(w) = f*k(w) + 6*c(w). What is d(m(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 3:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1.1.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sisfsissi. Give prob of sequence sfi.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (7 + -11 + 0 - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-1)*w)*w)\/w)\/(w*w*w**(-1\/3)))**(-1\/3)\/((w**(2\/3))**(6\/5)*w\/(w**(2\/11)\/w)*(w*w**(1\/2))\/w) assuming w is positive.\nAnswer: w**(-2867\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*i - 4094, c = -2*c - 2*i + 12282. Let a = -2424 + c. What is a rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7776 and 11496?\nAnswer: 3724704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**4\/4 + 91*u - 2. Let k(f) be the first derivative of j(f). Let p(i) = 9*i**2. Calculate k(p(d)).\nAnswer: -243*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = j - 1, -4*j = -5*j - 5*g - 3. Let w = j - 2. Let p = 670023 - 670019. Solve -4*k - p = -4*t, 0*t - 2*t + k + 5 = w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/15 (b) -3\/2 (c) -0.11 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5311\/6 - -889. Let u = -11820014\/1105665 - 10\/20103. Let b = u + 4\/165. Find the common denominator of b and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 26*p + 192 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (106 - (13 - -45)) - (0 + 1 + 17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/4 + 1510\/40. Suppose -73 = -28*a + o. Solve -a*t = -2*u - 12, 0 = -0*u - 2*u + t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4799, 9598, 14397?\nAnswer: 19196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(72) + sqrt(72) + -1) + (sqrt(72)*-1*5)**2.\nAnswer: -48*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/9 and -127\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**4\/o)\/o)\/(o*o*(o*o**4)\/o*o*o*o)*((o*o\/(o*o**(-1\/4)*o)*o)\/o)**24)**(-27))**(-37) assuming o is positive.\nAnswer: o**(-999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.028, -18, -1\/7, 3, 31.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*o - 1 - 1, 4*s - 5*o - 2 = 0. Suppose s*h = -h + 40. What is the remainder when ((-12)\/h)\/(6\/(-100)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 7*x - 91. What is the lowest common multiple of 18 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*((-8 - 3) + (-219)\/(-21))*21\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2034585 - 39.699118.\nAnswer: 2034545.300882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70507 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v + 12. Let q = -1.83042 + 0.83042. Which is the nearest to 0? (a) v (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*-2*4\/(-8) - 1614. Let z = 11072 - c. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 45*w + 262. Calculate s(-37).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 33\/9)\/((4 - -7)\/(-759)). Solve 0 = -123*k + v*k + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 8*g - 40. Suppose -4*j = 12 - g. Let p(t) = 6*t**2 + 5 - 10*t**j - 5. Let h(w) = 15*w**2. Calculate p(h(b)).\nAnswer: -900*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1885260 is divided by 3372?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 21 - 21 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**3 - 3*r**2 + 1\/4*r**4 + 2*r + 9. Calculate o(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227265742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9421474 a multiple of 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 453\/1963*78\/(-126).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((28\/(-196))\/(-2*(-3)\/6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxxx when four letters picked without replacement from mzzlzxlmmllzzlzllxzx.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 64\/72*(-1)\/(-2)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**3*g**3*r + b**3*g**2 + 4*b**3*r**3 + 17*b**2*g**2*r + b*g**3*r**3 - 2*b*g**3*r wrt b?\nAnswer: -30*g**3*r + 6*g**2 + 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -6970, 2\/291, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-3 + 3 - r)*(-8*r + 15*r - 11*r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4221477 and 171?\nAnswer: 4221477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -543.1 + 543. Which is smaller: -2\/5 or f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dww when three letters picked without replacement from {w: 11, d: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2 - 7*i - 6. Let x(l) = 13 + 4 + 10*l + 12*l - 2*l + 20*l**2. Determine 17*k(p) + 6*x(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(9\/4))**36*(v*v**(3\/4))\/v**(-2\/37) assuming v is positive.\nAnswer: v**(-6393\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0744 + -0.1744. What is the biggest value in 1, 27.3, m?\nAnswer: 27.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 6*m + 8*m + 0*m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/17 + 3 + 99\/(-51). Factor 1\/4*o**2 - t - 3\/4*o.\nAnswer: (o - 4)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470387267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(21\/(-24)) + 4. Let o = 0 - h. What is the second derivative of 14*x**4 - x + 0*x + o*x wrt x?\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 2. Let n be m(2). Put n, 5, -5 in ascending order.\nAnswer: -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(5\/12 + 18\/(-24)) - 567. Are q and -570 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 765a75 (base 12) to base 11\nAnswer: 1071857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5800 - -16803. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -71. Let p(m) = -4*m**2 + 0*m**2 + 0*m**x + 5*m**2. Let n(i) = -i. Calculate p(n(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cc (base 14) in base 13?\nAnswer: -22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -3. Let r = u - 2. What is the smallest value in -0.1, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60244 to two decimal places.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by -815\nAnswer: -236\/815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 17*l**2 + l - 11. Let a(b) = 16*b**2 + b - 9. Calculate -3*a(t) + 2*o(t).\nAnswer: -14*t**2 - t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 5029296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298*b**4 - 8239*b**3 + 23232*b - 334 wrt b.\nAnswer: 3576*b**2 - 49434*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3892 - 695. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8393 is divided by 108?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-5) + 3420\/150. What is the greatest common divisor of d and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408*g**2 + 30*g**4 - 20*g**5 + 1130*g**2 + 90*g**4 + 8289*g**2 wrt g.\nAnswer: -1200*g**2 + 2880*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-935)\/68 + 2\/(4\/30).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 - 111 + 0*w**3 + w**3 - 113.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122\/(-854))\/(170\/2856).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*y + 141, 2*n = 5*y + 3*n - 233. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(8712\/736 - (-166)\/(-1909))\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -295273690 and -0.0133?\nAnswer: 295273689.9867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*q + 5 = q, -4*u = -2*q - 30. Suppose 1 = -6*m - u. Which is bigger: m or 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036663 times 4888?\nAnswer: 179.208744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, u: 7}. What is prob of sequence hhuu?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -99, -259, -565, -1065?\nAnswer: -1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12042.978 months to years.\nAnswer: 1003.5815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -870 - 4*b + 870.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 122.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*x - 98*h + 96*h, -5*x + 2*h - 41 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 8:55 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r**5 - 2892*r**4\/5 + 3332*r**3\/5 + 2652*r**2\/5 - 3232*r\/5 + 48 = 0. What is r?\nAnswer: -30, -1, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.4190587 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -31. Let y(j) = 43*j - 119. What is the remainder when y(4) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-979)\/178)\/(76\/456)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:23 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z - 1. Let i(p) = 7*p**2 - 2*p - 2. What is the remainder when i(2) is divided by k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8)*2*5) + (-2*sqrt(200) - sqrt(200)) + 1.\nAnswer: -299*sqrt(2)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 0*d + 0*d + d + 2*d.\nAnswer: 3*d + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Suppose -2*s - 2*r = -g*r - 13, 0 = -3*s + 4*r + 22. Suppose 2*u = 2*v + u - 9, -2*v = -2*u - s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5489, 21948, 49403, 87854, 137301, 197744, 269183?\n\"Answer: 5498*x**2 - 35*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is the second derivative of 3888589*h**4 - h**2 + 10713199*h?\nAnswer: 46663068*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -673.9 - -715. Let v = -41 + k. What is the third smallest value in v, -9, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049853115 to the power of 1\/2, to the nearest integer?\nAnswer: 32401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 367.4 - 310.64. What is n rounded to zero dps?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5514 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3464307 or 1\/2?\nAnswer: -3464307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6461 + -8081?\nAnswer: -15552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 9. Let o be b(-10). Let d = 23 + o. Solve 2*l - 2 = d*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*x**2 + 1557801*x - 63803546 wrt x?\nAnswer: 6*x + 1557801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5590 + -5590. Which is the closest to m? (a) -0.4 (b) 3 (c) 0.835 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (292\/(-2))\/(-3 - -1). Let z = -49 + d. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 606 + -588. Let g(f) = c*f - 1 - 3 + 20*f - 41*f. Calculate g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -397*i + 398*i - 3*c, 4*i - 5*c = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14. Let k(f) = f + 9. Let d(g) = -3*k(g) - 2*u(g). Let y(s) = -10*s + 4. Let a(h) = 4*d(h) - y(h). Let w(o) = 156*o. Calculate w(a(j)).\nAnswer: -312*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47)\/(-3) - 2\/(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61151 equal to 61149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m - 297 - 378 = 0. Let n be (2\/(-10))\/(6 - (-165)\/m). Which is the biggest value? (a) 0.4 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*x - 2215 = 609*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -39, 2.\nAnswer: -39, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10929, 21854, 32779, 43704?\n\"Answer: 10925*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (62 + -56 - (0 - 3)) + 4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 25 + 32 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -162?\nAnswer: -14.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292838.\nAnswer: 2, 3, 43, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i = -21*i - 52 + 234 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5 = 5*h, 5*h - 3*j + 6*j = 13. Let s(k) = 13*k + 2. Let q(o) = 7*o + 1. Let d(r) = h*q(r) - 2*s(r). Suppose 0*b + 4 = -4*b. Determine d(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13544884\/21 - -645123. Let j = 392\/3 - l. Let h = 3769\/6 + -645. What is the common denominator of j and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57505 divided by 11501\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2 + 98030*j - 196040 = 0. What is j?\nAnswer: 2, 19604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*((-40)\/(-32) + (-87)\/116)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100001001001110101100 - 101?\nAnswer: -1001100001001001110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180.3747437116 - -60.\nAnswer: -120.3747437116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 1\/60*v**6 + 0 - 1\/30*v**5 + 0*v - 1\/3*v**3 + 16*v**2 + 0*v**4. Let l(x) = x**2 + 1. What is 2*l(r) + q(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/42396, -5, 168 in ascending order.\nAnswer: -5, 1\/42396, 5, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) 251 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10987, 21980, 32975, 43972, 54971?\nAnswer: 65972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/(-5)*(-5)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 10. Let w be d(0). Let b = 18 - w. Suppose 2*g + 0*g - b = 0. What is the lowest common multiple of g and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7691 + 7694. Find d such that -2\/3*d - 4\/3 + 2\/3*d**r + 4\/3*d**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46145*v + 46134*v + 3*j - 53 = 0, -4*v - 28 = -4*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -197 + 198. Let v(g) = -g**3 + 2*g**2 - 2*g + 2. Let n be v(k). Let y(j) = 4*j**3 - 6. Let r(b) = 1. Calculate n*y(o) + 4*r(o).\nAnswer: 4*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 29739.1066 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 6. Let g be p(-3). Let n(t) = 2*t**2 + 2*t - 3. Let r be n(-3). Let x = r - g. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5444 - 2934. What are the prime factors of j?\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + r**2 - 1. Let x(c) = c**2 + 1. Suppose 5*s = -0*y - 2*y + 4, 4*y = 5*s + 8. Suppose s = -27*v + 8 - 35. Determine v*h(p) + x(p).\nAnswer: -p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40286330.\nAnswer: 2, 5, 7, 82217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -89721.4 times 4\nAnswer: -358885.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/18)\/(((-4)\/280)\/(30\/50))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-7)\/(14\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 0 + 0*q**2 - 3*q + 1\/2*q**3. Let d(o) be the third derivative of o**4\/12 - o**2. Calculate d(t(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41202 and 1518588?\nAnswer: 10630116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 + -0.03. Let v = 0.02 + w. Let h be (-6)\/4*(-1)\/(-2). What is the closest to 0.1 in h, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s + 18. Give x(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 4486, -3908 in descending order.\nAnswer: 4486, 0.4, 0, -3908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Sort 1, 3, h in descending order.\nAnswer: h, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 9*d**2 + 530*d - 36. Suppose -7*x + 4*x = -588. What is the remainder when x is divided by j(-28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (6 - 3) - 2. Let z be ((-24)\/48)\/(i\/2). Is z <= -15\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3900))\/sqrt(3).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t - t)*(11801 - 766*t - 11801).\nAnswer: 766*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -393\/70391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9310 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -15*p**2 - 19*p - 31. Let s(a) = -7*a**2 - 8*a - 15. Let x be (-1 - 6)*2*(-6)\/14. Let h(u) = x*z(u) - 13*s(u). What is h(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:34 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 110 = 2*b. Let y(v) = -11*v**2 - 6*v. Let o(s) = -100*s**2 - 55*s. Let z be 819\/(-31 - 60) - 3\/(-1). Determine b*y(h) + z*o(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 491085.7 millennia?\nAnswer: 49108570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**1\/m))\/m)\/(m\/((m*m**(-7)*m)\/m))*(m**(-1\/4)\/m)**(-35) assuming m is positive.\nAnswer: m**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3977297859 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 596 - -8476. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 811, 3271, 7377, 13135, 20551, 29631, 40381, 52807?\n\"Answer: y**3 + 817*y**2 + 2*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 206, 212, 232, 272, 338?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-180) - 30\/450)*8\/92\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*4\/(-12))\/(-2). Suppose z = -3*r - 10 + 4. What is the units digit of 5 - (-9 - r - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/(2\/(-3)). Let t = -39 + 41. Let y be 3\/6*(2 - 0). Which is the closest to y? (a) -1 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -35, 1, -4, 4 in ascending order.\nAnswer: -35, -4, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2. Suppose 2*x - 4*u = -6, -x - 3 = 3*u - 15. Let y(a) be the second derivative of -1\/3*a**x + 0*a**2 - 4*a + 0. Give y(z(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeviiweeiddeiyie. Give prob of sequence dei.\nAnswer: 5\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 165103 - -1?\nAnswer: 165104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4011163, 4011164, 4011165, 4011166, 4011167?\n\"Answer: q + 4011162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 33*j**2\/2 - 3*j\/4 - 33\/2.\nAnswer: 3*(j - 1)*(j + 1)*(j + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/9 - 6*j + 56\/9 = 0 for j.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19687*q**5*s**2 + q**3*s**2 - 85789*q**2*s**2 wrt q?\nAnswer: -1181220*q**2*s**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.038, 5, 0.5, -5 in ascending order.\nAnswer: -5, -0.038, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(48\/8) - 6. Let q(l) = -138*l - 31. What is the hundreds digit of q(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -18*k + 13*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 26 = c + p, 2*c = 2*p + 8. Let j(b) be the second derivative of b**3\/6 - 9*b. Let o(s) = -2*s**2 - 4*s - 1. What is c*j(i) + o(i)?\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107923 and -0.2?\nAnswer: -21584.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from brmrvqbhbqbqb?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.3 + -2. Let r = 20824188553872\/31525 + -660561096. Let h = -2\/1261 - r. Put a, 0.4, h in decreasing order.\nAnswer: 0.4, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 3*o - 225 = 60*s, -4*s - 4 = 5906638*o - 5906636*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csfg when four letters picked without replacement from {f: 1, s: 1, z: 1, g: 1, c: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:02 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 576318 or 576309?\nAnswer: 576309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 279042469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/720 - (-2)\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/12 + j**3\/6 + j**2\/2 + 2*j. What is the units digit of z(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: cbc3c (base 13) to base 16\nAnswer: 5a152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4757339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 + n - 11. Let f(l) = l**3 - l + 6. Give 3*b(u) + 5*f(u).\nAnswer: -4*u**3 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -301576 (base 9) in base 8?\nAnswer: -534256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 5 - 13*t - 7*t**2 - t**3 + 2 + 10*t. Let x be f(-6). Let y(g) = -g**2 - 5*g - 4. Let z be y(-3). Sort x, 5, z in decreasing order.\nAnswer: 5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose 3110 = 16*v - 1498. Suppose -17*a = 15*a - v. Solve -a + j = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 1\/((45\/74200)\/9). Suppose v = 13*x - 27374. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(5\/4)*t*t**(1\/12)*t)**2 assuming t is positive.\nAnswer: t**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -478645 to the nearest one thousand.\nAnswer: -479000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 238279889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3 - (-2)\/(-3))*-3. Is (0 - -2)\/(8\/928) + w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -r + 363233, -85*r + 86*r = i + 363251. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -938130 by 2.\nAnswer: -469065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -78 - -54 - 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8545332 is divided by 776846?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/12544 and -73\/19712?\nAnswer: 137984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 3. Let x(c) = c**2 + 2*c - 3. Let j be x(-3). Let u be h(j). Put -1\/5, 3\/5, u in descending order.\nAnswer: 3\/5, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 6:24 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-7 - 0\/1). Suppose n = u*p - 1390, 0 = p + 3*n - 261 - 33. What is the greatest common factor of p and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-3 - -2) + 0). Let r be 15\/(-6)*24\/(-15). Suppose 5*j + 2*y = 73, j - r*y + 2*y = 17. Calculate the greatest common factor of j and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8522336 to the power of 1\/2, to the nearest integer?\nAnswer: 2919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at least 826912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t - 11*t - 3246. List the prime factors of t.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35515 times -119?\nAnswer: -42.26285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*u**2 + 2576*u + 1\/3*u**3 + 33856\/3 = 0. Calculate u.\nAnswer: -4, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let p = 14 + -20. Let g be 0 - ((-16)\/p - 3). Which is the third smallest value? (a) g (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -5*q. Suppose -w + q = -0*w. Let n = -0.1 - -0.1. What is the nearest to -2\/5 in 1, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*g = -25, 0 = -3*g + 4*g - 1. Let z(j) = 6*j - 2. Let x be z(b). Let h be x\/(-24)*(-6)\/4. Sort h, -4\/7, 0 in decreasing order.\nAnswer: 0, -4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-10) + -1*(-28)\/(-8). What is the hundreds digit of (-1314)\/(7\/14*i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/(-21)*(28\/2 + (-30 - -13))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:09 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7848 - -12005. Suppose -3*p + 817 = n, 4*n - 9*n + 3*p + w = 0. What are the prime factors of n?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + (9 - 1) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**3 - 7*n**2 - 8*n. Let g(j) = 2*j**3 - j**2 - j. Let o(d) = 2*g(d) - x(d). Let p = 9 - 3. Determine o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 12:53 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/((-12)\/54). Let x = 0 - d. Calculate the common denominator of 2*47\/(-2) - x and 43\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 37 = 2239079*k - 2239077*k, 4*k - f - 17 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvbj when four letters picked without replacement from {v: 4, b: 5, j: 6}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/((-99)\/(-9))*(36\/(-8) + 4). Is -2\/7647 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31891 (base 11) to base 10\nAnswer: 46322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1998 divided by 6\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145243\/30 - 4841. Let p(z) be the third derivative of -11*z**2 + 0 + 0*z**3 + 0*z**4 - m*z**5 + 0*z. Let f(g) = g. Give p(f(b)).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 11:22 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxdfdtvt. Give prob of picking 1 v and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3965538455.\nAnswer: 5, 37, 2591, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28620648 by -34566.\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**2\/n*n))\/((n\/(n*n**0*n*n))\/n*n)*n**(2\/9)*n*n**(-2\/11)\/n)**(1\/11) assuming n is positive.\nAnswer: n**(103\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.031.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -130691 - -1436816855\/10994. Is a less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.74 times -0.586?\nAnswer: 3.94964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2596823*c**2*m**2 + 2*c**2 - 72973*m wrt m.\nAnswer: 5193646*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - 2.7. Which is the smallest value? (a) w (b) 1 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*s**2 - 3*s**2 + 1393*s - 18*s**4 + 12*s**4 - 1396*s + 7*s**4 - s**3 as f + t*s**3 + q*s**4 + d*s + y*s**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**24\/m*m**7)\/(m**(-4\/25)*m*m**18*m) assuming m is positive.\nAnswer: m**(279\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - 767154?\nAnswer: -767121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260) + (6*sqrt(1260)*-1 - sqrt(1260) - sqrt(1260)))*5)\/((1*sqrt(5445))\/((sqrt(36)*-1)\/sqrt(4))).\nAnswer: 210*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 692782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 261*r**2 + 38346*r - 3101. What is o(-147)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2377 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12835 - 12790. What is the remainder when 673 is divided by m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/5)\/w**(-4\/11)*w**30\/(w**(-2\/81)\/w) assuming w is positive.\nAnswer: w**(138053\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1881 - 1881.000522. What is d rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 + 577 - n**2 - 34.\nAnswer: -n**2 + 677","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 2 (b) 7 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7}. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - v - 93 = -0*v, -5*v = 4*r + 135. Let k be -3*-10*(-5)\/r. Suppose -12*y + 65 = k. Solve -q - 2 = -3*q + a, -10 = -q + y*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27884623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 13. Suppose -h - 2580 = x*h. Round h to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 9) to base 6.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven tenths of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-374)\/55 - (-4)\/(-20) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -47, -26, 4 in descending order.\nAnswer: 83, 4, -26, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/291 and ((-3 - -2)\/168)\/(1869\/(-45212))?\nAnswer: 85554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 343\/4 or 87?\nAnswer: 343\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 37*q + 1\/2*q**2 + 1 - 17\/4*q**4 + 0*q**3 - 7\/5*q**5. Find the second derivative of h(x) wrt x.\nAnswer: -84*x**2 - 102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 3, 48414, 4 in ascending order.\nAnswer: -57, 3, 4, 48414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -3*sqrt(88))*3)\/(sqrt(64)\/(sqrt(8)*1)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 2\/15, 0.2, 5\/4, -1 in increasing order.\nAnswer: -1, -0.7, 2\/15, 0.2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-9) - (-4)\/(-18). Let b be 5 + -16 + 6 + 4. Does 24 divide b + 50\/z - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3726 less than 13.43183?\nAnswer: -3712.56817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205996584 and 17808.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46029991, -92059984, -138089977, -184119970?\n\"Answer: -46029993*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 - 8 - -24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/22 and 15\/1444.\nAnswer: 15884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a + -532?\nAnswer: -4e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68020*k**5 + 9*k**2 - 49 wrt k.\nAnswer: 4081200*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5856 and 2196?\nAnswer: 17568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - -4) - (-10 + 21 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597937019.\nAnswer: 8819, 67801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 417701 = 4*b - 417666, 2*b + 5 = m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 - 153. Suppose -4*p + 318 - c = 0. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 11*y - 34. Let g be r(8). Calculate the greatest common divisor of 57 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14671 - 14671. Solve -m - 20*m + 2*m = i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07730998763 + 0.07731. What is x rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/5)\/(n**(1\/2)\/n)*n**(1\/2)\/n*n*n*n\/n**(-1) assuming n is positive.\nAnswer: n**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3964319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4*u + 116572 = 116614, 3*z - u = 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.2 times -101?\nAnswer: 17493.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 999077161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 68892?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1497 + 0*c + 7*c - 1497 - 2*c. Let d(o) = -3*o. Determine d(j(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3 + 4 + 26*z**2 + 31*z - 77*z - 30*z**2 as v + w*z + n*z**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**5 + 30*m**4 + 756*m**3 + 4104*m**2 + 6480*m = 0.\nAnswer: -6, -3, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86116*f**4 + 39270*f wrt f?\nAnswer: -1033392*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**5*n - 14*h**4*n**3 + 2*h**3 - 3*h**2*n**3 + h**2*n**2 + 6*h*n wrt h?\nAnswer: 480*h**2*n - 336*h*n**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2238 - 517. Let f = q - 1180. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - 66. Let i = 16 + b. Suppose -3*s = -4*w + 92, 5*s + i + 0 = w. What is the highest common divisor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(-4\/7)*j*j))\/j**(-30))\/(j**(-16))**39)**(-18) assuming j is positive.\nAnswer: j**(-82080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 116?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 762.946 decades?\nAnswer: 91553.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/z**(-13)*z**(2\/7)\/(z**(5\/8)\/z))**(23\/3) assuming z is positive.\nAnswer: z**(8441\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (176\/(-12))\/((-10)\/6 - -1). Suppose -6*r = -r - 2*j - 85, r = -3*j + 34. Let z = v - r. Which is the closest to 0.1? (a) z (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -1\/12*s**4 + 1\/3*s**3 + 0*s**2 - s + 0. What is the second derivative of i(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23240.3 - 23240. Let i be 1\/3 - (-2 - -2). Which is the biggest value? (a) i (b) -4 (c) -0.2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/((25\/(-50))\/((-9)\/12)). Let z(x) = x**3 + 11*x**2 - 12*x + 2. Calculate z(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7800626463 to the power of 1\/4, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6270, 50211, 169502, 401817, 784830, 1356215, 2153646, 3214797?\nAnswer: 4577342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1530 and 43881462?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87748 divided by 3.\nAnswer: 87748\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -587*j**6\/6 + 343*j**4\/12 - 2*j**3\/3 + 251*j - 4. What is the third derivative of b(t) wrt t?\nAnswer: -70440*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*m - 92*m - 93*m = -120 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/6859119 and -18\/162332483.\nAnswer: 486997449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 403*u**3 - 405*u**3 + 13.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 4*f**4 + (-f**2 + f**3 + f**2)*(-2*f + 1 - 1).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7*o + 5*b + 10800, o - 2166 = -2*b. What is the highest common divisor of o and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 41*s**2 + 7*s - 10. Let z be r(5). Suppose -5*l + z = 3*n, -5*n = -8*n. Let f = l - -61. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-299)\/(-13) - 50\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a9 + 40?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188 + 90. What is the biggest value in -0.3, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 30 = 42. Suppose 0*n - 4*n = -b, 3*n = 2*k - 117. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(7*(-21)\/(-49))*-16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + 2*i)*(655 - 654 + 16*i + 6*i).\nAnswer: 66*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:44 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 116*a**2 - 257*a + 63. Give w(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/15)\/((-3)\/10). Let a(r) = -r**2 + 3*r + 5. Let z be a(k). Is 1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*a - 41*a - 980 = 645 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41211 divided by -2169.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 11*v**2 - 14*v - 30. Calculate the smallest common multiple of 4068 and o(9).\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 917928.\nAnswer: 6425496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -4.\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16357?\nAnswer: 11, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-6) + (-16 - -1)\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 5 + (1 - 1 + 1)*(3 - 1 - 1) - 2 + 1 + 2)*(2*c + c**2 - 2*c)*(87*c - 49*c + 35*c).\nAnswer: -438*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 5\/12*v**4 + 0*v**5 + 10*v**2 - 8\/3*v**3 + 0 + 26953\/120*v**6 + 0*v. Let f be h(8). What is f rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*w - 13, 3*o + o = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 56488006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 9:41 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, 1, -12, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 4*r + 0*r)*(-1 + 4 - 5 + (2 - 1 - 3)*(2 - 5 + 1) - 5 + 5 + 2 + 2 + 4 - 5)*(0*r + 2*r**3 + 0*r).\nAnswer: -10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180) + (1*sqrt(80) - sqrt(5)) - -6*(sqrt(55) - sqrt(880))\/sqrt(11)*5)**2.\nAnswer: -162*sqrt(5) + 32806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 22*t**2 - 3*t + 2. Let n be f(1). Suppose 3*p = -4*x - 8, n = -0*x + 5*x - 4*p. Suppose 6 = i + x. Solve 0*j + 20 = 4*y - j, i*y = 3*j + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 690 + -698. Which is the nearest to g? (a) -0.4 (b) 3 (c) -1.05 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -15. What is the units digit of (-15*p - 3)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88864 + -355455\/4. Let n = 2 + -2. Let x = n + 1. Which is the closest to x? (a) m (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**3 + 8*r**3 + 7*r**3 + 9*r**3 - 35*r**3 - 171*r**2 as n*r + h + j*r**3 + t*r**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 9*n + 9. Let v(p) = -p**2 - 8*p. Let t be v(-7). What is the remainder when (-23 + 32)*(5 + 2 - 2) is divided by f(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2853 + -2439. Which is smaller: 412 or v?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50675647 - -237314050016\/4683. Let y = i - 1\/223. Find the common denominator of 91\/12 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 3*q + q. Let b(c) = 94*c**2 + 8*c + 5. Let p(u) = 67*u**2 + 6*u + 4. Let n(r) = 3*b(r) - 4*p(r). Give h(n(g)).\nAnswer: 28*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(6 + 4*m - 6).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -50 + 59 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24139 and 717.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.80300612 rounded to two decimal places?\nAnswer: 51.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 71604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + 2 - 2)*(-2 + 2 - 1)*(-j - 2*j + 4*j) to s*j + w*j**2 + l + r*j**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25833 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96.61 * 0.2.\nAnswer: -19.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/3, 0.5, -4, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**5\/30 - 715*u**4\/24 + 3547*u**3\/3 - 3129*u**2. Differentiate p(b) wrt b.\nAnswer: 4*b - 715","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1385367 divided by 2.\nAnswer: -1385367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448 - 62*y**2 - 1051 + 148 + 60*y**2 - 336 + 3*y.\nAnswer: -2*y**2 + 3*y - 1687","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/22 and 55\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006675.\nAnswer: 5, 67, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3038376 nanoseconds to milliseconds.\nAnswer: 0.0000003038376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 2 = -3*j. Let s = 30183 - 29975. Calculate the lowest common multiple of s and j.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394860.2 decades to years.\nAnswer: 3948602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 8*u**2 + 5*u - 1. Let p be w(-7). Let x = p - -41. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/(-18))\/8 - (-182)\/(-6). Let h = w - -26. Let k = -30 - -24. Sort k, -1, h, 1 in descending order.\nAnswer: 1, -1, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/319*44*7\/(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6264 - 6261. What is the closest to -2\/5 in -52, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-3 + sqrt(65)\/sqrt(5) - sqrt(13)) - -4*(sqrt(13) + -4)) + (5*-2*sqrt(104))\/(5*sqrt(32)))**2.\nAnswer: -104*sqrt(13) + 377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6852503 and 1526.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372b12 (base 12) in base 11?\nAnswer: 562784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*i - 240 + 3 = 0, 0 = -5*m + 4*i + 209. Let q be (85\/m + -2)*3. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 5:09 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*x = -4*x + 61, w - 43 = 3*x. What are the prime factors of 45 + (-20 + w - (-1 + 5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43382409, 43382430, 43382449, 43382466, 43382481, 43382494, 43382505?\n\"Answer: -w**2 + 24*w + 43382386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*r - 600 = 0. Let o = -79 + r. Let c = 54 + o. 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 lowest common multiple of 11627316 and 1710.\nAnswer: 58136580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 410*p - 170*p + 73*p - 40824 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4091568.\nAnswer: 2, 3, 13, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2996 is divided by 797.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Suppose 0 = w*k - q - q - 1, 2*k + q = 4. What is the tens digit of (-2*1)\/(k\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7712 - 84830\/11. Which is the closest to -2\/5? (a) n (b) -2\/275 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhnbah. What is prob of picking 1 b, 1 a, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 6) to base 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1) - -8 - 0. What is the greatest common divisor of p and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + s = 18 - 27, -l - 17 = 5*s. Let i be l + -14*((-148)\/28 + 5). Solve -5*a - 35 = i*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 + 32*v**3\/3 + 58*v**2\/3 + 28*v\/3.\nAnswer: 2*v*(v + 1)**2*(v + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268 (base 14) to base 12.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-8)*1)\/((-6)\/396). Let h be 6\/c - (-6 + (-2510)\/110). Solve -4*u - 5*t = u + 5, -h = 5*u - t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 + (-287)\/(-21). Suppose -5*z = 4*d + 13, 2*d - 5*z = d + 3. Is 3 a factor of (a - d) + -2*1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 11*r**2 - 12*r - 1. Let n be l(-12). Let b be n\/6*3*-38. Let y = b - 1. What is the remainder when 33 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*-3 - (sqrt(99) + (sqrt(99) - (sqrt(99) - sqrt(99)*-1*6))))\/((-1*2*sqrt(180) - sqrt(180))\/sqrt(5)).\nAnswer: -11*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1296, -7119, -16814, -30369, -47772, -69011, -94074, -122949?\n\"Answer: 2*w**3 - 1948*w**2 + 7*w + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 870 and 174344085.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 376 + -361. Let x(m) = -13 + 48 - 15 - q + 4*m. What is x(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 3, 1\/2, -4, -132.2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 2864\/35, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 1. Let y be g(1). Suppose 3*r - 2*r = 5*h + 86, 2*r = -3*h + 146. Let m = -76 + r. Solve -2*q - 3*u + 6 = 0, -q + u + y = -m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*h - 120, 3*t = -3*h - t + 172. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -93, -93, -109, -153, -237, -373?\n\"Answer: -2*r**3 + 4*r**2 + 2*r - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4208*f**2 + 191*f - 1376. Is a(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02501 to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2034, -2623, -3220, -3831, -4462, -5119?\nAnswer: -5808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -935*i + 945*i - 50 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p - 1665 = 0. Let r = 466 - p. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 1:12 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -45?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.3, 3, -1, -2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 11*a**2 + 2*a - 1. Suppose 103 = 5*i - 2*j, 2*i + 3*j - 51 = -6. Suppose 5*y - i = 34. What is the units digit of q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1, -3, 5, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + d + 12. Let h(k) = -3*k**2 + 2*k + 13. Let w = -205 + 209. What is w*c(i) - 3*h(i)?\nAnswer: i**2 - 2*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-5) + (11 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**2*w**3 - 274*l**2*w**2 + 9132*l**2 - 67042945*l*w**3 - 5*l*w**2 wrt w?\nAnswer: -6*l**2 - 402257670*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*g - 5*g. Solve g*d + 2 + 4 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**10)\/j)\/(j**(-20)\/j)*((j*j**(1\/18)\/j)\/j*j)\/j**26 assuming j is positive.\nAnswer: j**(-251\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 5, -16556, -0.3, 0.147 in descending order.\nAnswer: 5, 0.147, -0.3, -1\/2, -16556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13199 is divided by 1088.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 413 - 520. Let w = z - -341. Which is smaller: w or 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*-2)\/sqrt(11))\/sqrt(2).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 19. Which is smaller: 0.2 or t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 2*u - 6. Calculate r(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -6 + 11 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*x**3 + 2459*x - 53*x**3 - 2459*x.\nAnswer: -185*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1723942 divided by 253\nAnswer: -6814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 h when three letters picked without replacement from {q: 1, h: 8, a: 1, v: 4, x: 3}.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-654)\/(-2289))\/(1*2\/(-4))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2060*h - 1386. Let z(q) = -1030*q - 704. Let n(g) = -4*u(g) + 9*z(g). What is the derivative of n(c) wrt c?\nAnswer: -1030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 5*c**2 - 3*c**2 - 4*c**2 + 0*c**2. Let p(f) = -115*f + 3. What is h(p(w))?\nAnswer: 13225*w**2 - 690*w + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*h = -67*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/11 - -24*2\/6.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.828 - -1.328. Which is the closest to 3\/2? (a) -2\/5 (b) 0.03 (c) s (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/129? (a) -0.6 (b) 3\/4 (c) -3.4202\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 4 - (-4 + -1). What is the third derivative of 14 - 5*s**2 + 11*s**w - 14 wrt s?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*u**2 - 125*u**2 - 16*u**2 + 11*u**2.\nAnswer: -314*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 14) to base 13.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 43*a + 5*a - 18*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 1, m: 1}. Give prob of sequence fm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7152601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -50*x**3\/3 - 30506*x**2\/3 + 26890*x\/3 + 1222 = 0.\nAnswer: -611, -3\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and 9.4?\nAnswer: -357.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 591\/7092*42\/(-3)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -951, -937, -939, -975, -1063?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-180))\/((-49)\/(-490)*(7 - 2))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 18.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q. Let p be x(1). Solve -5*j = -4*j - p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -640?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2\/9, 38, 4, 2, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13661722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50855318069 plus 231?\nAnswer: 50855318300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Suppose -3*y = y - 20. Suppose 0 = -5*s + 5 + y. Let q(h) = s*h + 4*h - 5*h. Give q(r(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (165\/(-22))\/((-9)\/6) - 0. Solve 0 = -6*w + 5*w - 4*i, -n*i - 5 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 70. Let a = 0 - 15. Let b = a + j. What is the third biggest value in -0.5, 0.4, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 523 (base 6) to base 11\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 22*u**2 + 43*u - 4. Give l(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 243201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 252249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.189004 * 2.\nAnswer: -0.378008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -130, -139, -160, -199, -262, -355?\n\"Answer: -o**3 - 2*o - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5830, -0.2, -4, -0.5 in descending order.\nAnswer: 5830, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2890 = 2*s, 5*s = 5*k + 2*s - 3615. Suppose 22*y = 19*y + k. Let n be (-4)\/26 - y\/(-39). Solve x + x = -n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n - 4. Let b = 3 + n. Let x(d) = -d**2 - 2*d + 4. Let g be x(-4). Put 0, b, g in decreasing order.\nAnswer: b, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 564 - 488. Calculate the greatest common divisor of 570 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**4\/2 + r + 2. Suppose -8*x + 7 = -15*x. Let i be a(x). Solve -j = -5*j - 5*m + 25, 5*j = i*m - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -23*b**7\/14 - b**5\/10 - 79*b**3\/6 + 23*b - 6. Find the second derivative of i(k) wrt k.\nAnswer: -1380*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/310 and -77\/15.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308) - -6*sqrt(308)*1)\/sqrt(11) + 1*(sqrt(28) - (sqrt(84)\/sqrt(3))**2)*-5 + -1.\nAnswer: 4*sqrt(7) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/5 (b) 0.4 (c) -969 (d) 6\/19 (e) 1 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -422145444 + 422145972.999667. Let l = 529 - i. Round l to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 300.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/48*4\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26303241 (base 7) to base 12\nAnswer: 97b639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/4 and -81\/3991952.\nAnswer: 3991952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 + (-1)\/3. Suppose -2*u - 2*u - 5*f + 29 = d, -5*f = u - 11. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 49 + 53 + 0 - 6)*(11*o + 40*o + 12*o).\nAnswer: 5040*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-420)\/(-50) + (-52)\/130. Sort i, -11, 3.\nAnswer: -11, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/6 + c + 2. Let v(b) be the first derivative of s(b). Let x(m) = -3*m**2. Calculate x(v(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.36 and 612.\nAnswer: 5116.32","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 10*y**2 - 3*y - 3. Let a(u) = -u**3 - 19*u**2 - 5*u - 5. Determine -3*a(k) + 5*r(k).\nAnswer: -2*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**4 + 164*a**3 + 612*a**2 + 748*a + 296 = 0.\nAnswer: -37, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 48*w - 50*w - 4*m, -5*m = -0*w + 4*w + 35 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 3}. Give prob of sequence ii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167240 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -207651047 to the nearest 1000000.\nAnswer: -208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -2*x**4\/3 + 181*x**3\/6 - 82*x**2. What is the first derivative of r(h) wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.28 + 0.08. Let i = -0.7 - m. Sort i, -1, 1\/6 in increasing order.\nAnswer: -1, i, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 12 + 3, -4*m + 3633 = -3*d. Let t = m + -550. What is the tens digit of (t\/6)\/(4\/6) - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 34, -7 in ascending order.\nAnswer: -7, -4, -3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*u = 16, 2*u - 4 = -4*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 0, -40\/2991, 1\/4?\nAnswer: -40\/2991","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101001110101 (base 2) in base 8?\nAnswer: 235165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2337 = -3*p + 2685. Calculate the highest common factor of 754 and p.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 10 = -12*d - 3*p, -2*p + 2 = d. Let y(n) be the first derivative of 4\/3*n + 1\/9*n**3 + 2\/3*n**2 + d. Factor y(c).\nAnswer: (c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284348 and 36?\nAnswer: 2559132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 709965354 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d - d - 2*d + (5*d - 4*d + d)*(2 - 1 + 0) + (-2*d + d + 3*d)*(191 - 1802 + 9320 - 1835).\nAnswer: 11752*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (6 - (2 + 4)). Calculate the lowest common multiple of c + -4 - 2 - -20 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biiiiibiiibiibiiib. Give prob of picking 2 b and 1 i.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1284993 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 107*j + 262. Let c be x(-51). Let k(f) be the first derivative of f**3\/3 - 3*f**2 - 3*f - 1. Give k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -989, -1941, -2931, -3977, -5097, -6309, -7631, -9081?\n\"Answer: -3*a**3 - a**2 - 928*a - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 26, 216, -2 in decreasing order.\nAnswer: 216, 26, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93 - 54) + -55 + 6 - 41.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/(-6))\/1)\/((-72)\/(-16) - 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/21, -41.5, 4\/3, 7.2 in increasing order.\nAnswer: -41.5, -17\/21, 4\/3, 7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5355, 10716, 16077?\nAnswer: 21438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7501*5.\nAnswer: 37505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1068 rounded to two dps?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**6\/120 + 7*a**5\/20 - a**4\/24 + 19*a**3\/6 - 41*a**2. Is k(-21) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -1. Let m = 0.4 - 0.4. What is the nearest to m in -0.4, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, 0.04, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 14 = n, 5*j - 2 = -339*n + 340*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -497*n. Is t(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6923 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Let a(u) = 3*u + u**2 - 2 - 4*u + u + h*u. Give a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paxaccssaaaasc. What is prob of picking 1 a and 2 s?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -70, -116, -162, -208?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. Let u = y - 6. Let s = 23\/42 - 3\/14. Which is smaller: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:42 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 0*c + 2 - 3\/4*c**4 - 1\/3*c**3 + 0*c**2. Find the third derivative of r(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 - -5.01. Let v = -7.17 - -6.8. Let m = v + 0.27. Put m, y, 3\/7 in descending order.\nAnswer: y, 3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003915 to four decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 897.15 - 992. Let u = 1.85 + i. Let o = u + 93.00616. What is o rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 737 = 2*q + 901, 0 = 3*q - 15. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 - d - 1. Let k(y) = 4*y**2 + 2*y + 2. Give 5*a(m) + 2*k(m).\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.577 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (17577\/(-84) + (-2)\/8)*-14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 17. Suppose -p + s*p = 36. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350592 to the power of 1\/2, to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -32*s**2 + 65*s - 49. Let u(x) = 11*x**2 - 22*x + 17. Let l(o) = -17*u(o) - 6*w(o). Let r(a) = 2*a - 3 + 2 - a**2 + a. Give 2*l(h) + 11*r(h).\nAnswer: -h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - x**2 + 0 - x**3 + 1 - x. Let k = -193 + 194. What is i(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.8 - -10. Let h = y - -4. Let x = -0.3 - -1.3. What is the biggest value in x, h, 2\/23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) - 27\/(-12). Let f(o) = 3*o**p - o - o + o + o**2. Determine f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.405 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -307 + -2754?\nAnswer: -3263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*h**2*i + 397*h**2 + 5*i**2 with respect to i.\nAnswer: 28*h**2 + 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1180357340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 9*k + 3. Let f be (4\/(-14))\/1 - (-4140)\/(-161). Let o be f\/6 + (-14)\/21. Let w(p) = p**2 + 13*p - 4. What is o*w(z) - 7*n(z)?\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -14 + (17 - (9 + -7))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 + 292*d**2 - 582*d + 872\/3.\nAnswer: -2*(d - 436)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(105) - (sqrt(105) + sqrt(105) + 2*sqrt(105) + sqrt(105))) + sqrt(105))*-6)\/sqrt(7))\/(-2*sqrt(108)*-2).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 70. Suppose w = z*x + 3 - 17, -3*x - w = -10. Let l(i) = 2*i**3 + 4*i**2 - i - 1. Let t(k) = -2*k**3 - 3*k**2 + k + 1. Give x*l(b) + 4*t(b).\nAnswer: -2*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 16. Find the third derivative of -2*x**2 + 0*x**4 + x**k + 5*x**2 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*1*(30 + 1). Suppose 2*o = -10, 2*o = g + 2*g + 152. Let s = g - w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13234 = 8*n + 218. What are the prime factors of n?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.7. Let n = 0.2 - 1.2. Let q be ((-1)\/(-2))\/(1\/4). Sort q, o, n.\nAnswer: n, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k + 25 = 0. Suppose -21*t - 355 = -481. What is the least common multiple of t and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - s - 42713 = 23894, 5*f + s - 166493 = 0. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 0 + j + j**3 - 2*j + 1. Let l be (6 + -7)*(2 + -1). Let v(o) = 0*o - 1 + o + 0*o. Calculate l*v(a) - h(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20613*x + 5906*x + 26426*x + 63088*x.\nAnswer: 74807*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 1 - 7. Suppose 15 = -k*o + 39. Let n(g) = -g**2 - 4*g + 1. Let f be n(-4). Calculate the highest common factor of f and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/(-4) - 5\/(-20). Let y = f - -7. Solve 5 = 4*n - x, -1 + 3 = -y*n - 5*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5 - (0 + (-12)\/(-10)). Let g(t) = 6*t**2 + t - 6. Let u(h) be the second derivative of h**4\/12 + h. Let o(d) = b*g(d) + 5*u(d). Determine o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -35*o + 28. Let h(u) = 4*u - 3. Let f(z) = -28*h(z) - 3*s(z). Let c(k) = -6*k. What is -4*c(y) + 3*f(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 50. Let h be 1\/((-3 + r)*1). What is the third smallest value in 1\/2, -0.3, h, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvuquerv. Give prob of picking 2 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1417*i*m*z**3 - 20*i*m*z**2 - i*m + 3*z**2 wrt z.\nAnswer: 8502*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 1. Let o be r(-4). Suppose 21 = k - 8*c + 3*c, -2*c = 2*k - 18. Let j = 15 - k. What is the second biggest value in j, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25660 less than or equal to -25660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20112201 (base 4) in base 9?\nAnswer: 51830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172 - 166. Solve 2*s - w*s = -16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + a)*(4*a + 14 - 7 - 5).\nAnswer: 4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 12*w - 8. Let b be d(-14). Suppose 2*t + 2*t + b = 0. Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-90)\/8 - 4\/(-16). Let i = 31 - g. Calculate the highest common factor of i and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14403, -28873, -43343, -57813, -72283, -86753?\nAnswer: -101223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2 - 17871*n + 35754 = 0.\nAnswer: -5959, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2)*t*t)**(-4)*(t*t\/(t**(-1\/3)\/t))**(-21\/5))**(-12) assuming t is positive.\nAnswer: t**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 260 = -60. Suppose -5 + d = 5*z, -5*v + 104 = -4*z. Suppose 0*t - 5*t + 840 = 0. What is the highest common factor of t and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12199936*i*m**3*x**2 + 71*i*m**2*x - 3*i*m*x + 556*i*m - i*x**2 - m**2*x**2 wrt m.\nAnswer: -73199616*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 11) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5698967 - -5702562.3935. Let v = z + -3594. Let u = 1.4 - v. What is u rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1207 + 2*b**2 - 420 - 396 - 391. Let d(i) = 8196*i**2. What is d(q(l))?\nAnswer: 32784*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 1 = -6*k. Calculate the greatest common factor of 50 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 8*h + 8. Calculate z(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156*a**2*k - 4*a**2 - 128*a*k + 3*a wrt a?\nAnswer: -312*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12328290269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9 - -2) + (-360)\/54\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/23 + 722*o**2\/23 - 2*o\/23 - 722\/23.\nAnswer: 2*(o - 1)*(o + 1)*(o + 361)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2\/3, -227.4 in descending order.\nAnswer: 1\/2, -2\/3, -227.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4919772 and 32604?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*w + 3*j + 8, 0 = w + 3*j - 7. What is the derivative of w*p**2 - 39*p**2 - 1 + 1 - 24 wrt p?\nAnswer: -70*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 + 371*a + 1481. Determine b(-70).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 506.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7209279 - 0.09\nAnswer: -7209279.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(54) + sqrt(18)\/(sqrt(3) + sqrt(48) - sqrt(3)))\/(sqrt(36)\/(sqrt(1452) + sqrt(1452)*4)))*3.\nAnswer: -12 + 4125*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 30*s + 10. Let j be o(15). Calculate the remainder when 88 is divided by j + 2 + -2*(-3)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 97175.12m?\nAnswer: 97175120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and ((10\/4)\/(-1))\/(2\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054694 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2463 - -0.3463. Sort 2\/45, 0.3, 2, q in decreasing order.\nAnswer: 2, 0.3, q, 2\/45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, 5, -1, -70\/3, 92.\nAnswer: -70\/3, -4, -1, 2\/9, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/5 + 0)\/((-12)\/(-20)). Factor -d + 4\/3*t - 1\/3*t**2.\nAnswer: -(t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -442 + 442.333. Round b to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3832*q = 4218*q + 5404 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:11 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.4. Let z = 508 + -497. What is the third smallest value in 3, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 4*f + 16, 0*r - 5*r + 80 = -5*f - 69 + 99 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-6)\/((sqrt(128) - -1*sqrt(128) - sqrt(128)) + sqrt(2)))**2 - ((1*(2*sqrt(272))**2 - (sqrt(272) + 0 + 5)**2) + -5).\nAnswer: -6802\/9 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-1)\/((-9)\/(-12))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g - 52*g - s + 17 = 0, 0 = -3*g + 4*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -23 - -42) + -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-2\/3)*f))\/f)\/(f\/f**(3\/7)*f*f))**(-5\/14) assuming f is positive.\nAnswer: f**(205\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*t - 9139 = 211*t. What is the remainder when 505 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 2 - n + 8*n**2 - 7*n**2. Let c be r(4). Suppose 5*d - 1 - 4 = 0, -c*d - 58 = -4*z. Calculate the highest common divisor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 259, 5.\nAnswer: -4, -3, 5, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-21)\/(-4))*6195\/(-118).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -96411 + -3?\nAnswer: -96414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/6*(-925 - -10). What is p rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (5 - -46) - 5 - (28 - 68 - -38)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/4010 and 17\/100.\nAnswer: 40100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - 0.75. Let w = 0.9 + h. Sort -0.4, 0.1, w in ascending order.\nAnswer: -0.4, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*((-6*(4*sqrt(110))\/sqrt(10) + 2)*-4 + 4)*-3.\nAnswer: -288*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 32 + 2*l**2 - 7*l + 0*l + 2*l. Is p(12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.99? (a) -3.8 (b) 0.5 (c) -170 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 6676*n - 961197.\nAnswer: (n - 141)*(n + 6817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 34315?\nAnswer: -34310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by 6\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 - 2 = 0. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(9*4\/96). Let x(f) = 1. Let p(s) = s + 2. What is k*x(c) + p(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, 11, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*a = -j - 384*a + 36, 4*a - 40 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/644 and -43\/92.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 20143?\nAnswer: 5\/20143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 5901044 - 5901063 + 14*h. What is o(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6104 and 896.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*2 + 2 + -4*(-1 + sqrt(18)\/sqrt(216)))**2.\nAnswer: 568*sqrt(3) + 20272\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 6810641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13069373723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 1206*p**2 - 12180 - 2323*p**2 + 1112*p**2 - 6100*p = 0?\nAnswer: -1218, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4158b (base 12) to base 3\nAnswer: -11100021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 - m**4\/12 - m**3 + 2*m**2 - 4*m. Let x be r(4). Calculate the highest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(605)) + (1 + sqrt(605) + 2)**2 + (0 + sqrt(605) + -2 - (-2 + sqrt(605))*-2)**2)*-2.\nAnswer: -12184 + 726*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, 1215, 4462, 9467, 16230, 24751, 35030?\nAnswer: 47067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u**2 - 15*u**2 + 44*u**4 + 0*u + 7*u**4 + 67*u**4 - 2*u as d + w*u**2 + v*u**4 + s*u + q*u**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589060 is divided by 7001.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 44 - 27*b + 68 + 39*b.\nAnswer: 12*b - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 52*r**2 - 4*r. Let j(n) = 53*n**2 - 5*n. Let m = 28439 + -28434. Give m*a(x) - 4*j(x).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (214\/3)\/(52\/78)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-10)*b)\/(b**(-1\/19)\/b))\/(b**(-15)\/(b*b**10*b)))**(-26) assuming b is positive.\nAnswer: b**(-9412\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 + 53 = 5*o. Let q = o - -46. Let t be (q + 0)*(-12)\/(-8). Is t at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxmm when four letters picked without replacement from {x: 3, m: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - 12854389.965.\nAnswer: -12854389.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7284590377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-17 + (22 + 0 - 10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.49, -3, -404 in decreasing order.\nAnswer: -0.49, -3, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 24. Let w be d(0). Let o = -489 - -491. Let x be 2528\/o*3\/w*50. Round x to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/120 - j**5\/15 - 11*j**4\/24 - 7*j**3\/3 + 576*j**2. What is p(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16568 divided by -8.\nAnswer: 2071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2. Let l = -738 + 738. Suppose -5*u + 36 = -0*h + h, -2*u + 4*h + 32 = 0. Put x, u, l in decreasing order.\nAnswer: u, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -14 (b) -0.4 (c) 239 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, -1\/7, 12, 1\/4, 13 in decreasing order.\nAnswer: 13, 12, 0.3, 1\/4, -0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -1339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4245)\/(-315) + -13)\/((-15)\/(-14)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 8:38 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 411602 and 2096.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.030536895 and 0.4?\nAnswer: 0.369463105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 13*z**2 + 46*z + 36. Let y be q(16). What is the closest to 9 in 0.2, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3 + 670329*o**2 - 193163*o + 1 wrt o?\nAnswer: 12*o + 1340658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -34*a + 61. Calculate h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = -0*y. Suppose y*j + 21 = s, 103 = -s + 5*s - j. Calculate the remainder when 50 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402929167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 716 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -17*z**2 - 17*z + 29. Let v(i) = -6*i**2 - 5*i + 10. Calculate 4*k(r) - 11*v(r).\nAnswer: -2*r**2 - 13*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) - 5985\/70. Let h = -928\/11 - a. Calculate the common denominator of 109\/66 and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2) + 3 + 0. Suppose -g = 2*n - 9. Factor 1\/5*j**4 + 0*j - 2\/5*j**2 + 1\/5 + 0*j**n.\nAnswer: (j - 1)**2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r + 9. Let m be i(6). Let f be ((-27)\/(-15))\/(9\/m). Is 12 a factor of -1*(-8)\/20 - (-414)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 226.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrs when three letters picked without replacement from {r: 16, s: 4}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b + -b1947?\nAnswer: -b1a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352865890 to the nearest integer?\nAnswer: 18785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1139*s + 66 = -1150*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -10*p**3 - p**2 + 3*p + 1. Let x(c) = -c + 5. Let t be x(8). Let b be a(t). Let j = b + -179. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6740 and 1175456.\nAnswer: 5877280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 919 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10398033 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 18*d - 14. Let v be l(19). Suppose -v*r + 4051 = 2*b, 2*b = 4*r - 2*r - 1612. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54.5? (a) 1\/1138 (b) 1\/9 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133485 is divided by 44480.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 2*l**2 + 2*l**2 + (4 - 2 - 49)*(-2 + 2 + 3*l)*(-2 + 1 + 0)*(6 - 6 + 10*l).\nAnswer: 1408*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 5, -5 in decreasing order.\nAnswer: 8, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s + 1. Let o be 3\/(27\/78) + (-22)\/33. Suppose -4*k + o*k = 4. Let d(u) = 2 - 1 + 0*u + u. Calculate k*w(z) - 2*d(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114\/171 + 307\/3 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6986 not equal to 45019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q**2 + 40000 - 13344 - 13313 - 13343.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*r = 56*r. Let s be 1 + -1 - 6\/(-4). Factor s*u**2 + 3*u + r.\nAnswer: 3*u*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 1, n: 1, j: 2, i: 1, q: 1}. What is prob of sequence wji?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2429952510 to the nearest integer?\nAnswer: 49295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2424\/(-4242))\/(3\/12)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 10 + 8*p)*((-2*p + 1 - 1)*(4 - 1 - 1) + 2*p - p - 2*p)*(-p + p + p**2) to the form y*p**2 + s*p**3 + q*p**4 + z + j*p and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.481063ml in litres?\nAnswer: 0.000481063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 22 + 4 + (-2 - 1) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3033 - 3036. Sort 1, -1, 50, z in ascending order.\nAnswer: z, -1, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + (77 - (25 - -45 - 31)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -366 - -369. Let t be b + ((-5184)\/333)\/4. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(8\/7))\/(3\/36) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1148 = -7*w + 4963. Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smsmmffmsffffc. What is prob of sequence smm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a - 8. Let n be w(-4). What is the third derivative of n*l**5 - 201*l**2 - 3*l**5 + 3*l**4 + 270*l**2 wrt l?\nAnswer: -180*l**2 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*a - 3*r - 18, a - 3*r = 6. Suppose -3*f = a, 4*d + f + 28 + 5 = 0. Let i be d\/6*(-4)\/8*6. Let v(g) = -2*g - 4. Calculate v(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j - 20. Let d be h(8). Let y = d - 5. Are 7 and y non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -h - h - 5*k, -3*h - 3*k = 24. Let g(d) = 317*d + 88437. Let i be g(-279). Sort i, h, 2, 4.\nAnswer: i, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35438 (base 13) to base 6.\nAnswer: -2030515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 686018450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**3 + 7533*u**2\/2 - 259878*u - 796563\/2 = 0.\nAnswer: -1321, -3\/2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - s**2 - s**2)*(-3*s - 3*s + 5*s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x + 1. Let q be o(0). Let z = 0 - q. Let j = -0.19 + -0.81. What is the nearest to z in -0.1, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707172 is divided by 381?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -68, 0.02, -1\/8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 698197, 698213, 698229?\n\"Answer: 16*v + 698181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/13 - (-81)\/(-273).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdd. What is prob of sequence dd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 - 3*y**2 + 16\/3*y.\nAnswer: -(y - 2)*(9*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from sjjsjssjsjsj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116974 is divided by 29243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011273609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -17*g**3 + 749*g**2 - 744*g + 1. Determine f(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168527446 a multiple of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-54786)\/1725 + (-18)\/75.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4303, -3, 5 in decreasing order.\nAnswer: 5, -3, -4303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 55*q**2 + 78*q + 4. Give m(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -18*d**2. Let r(j) = -722*j - 41 + 1281*j + 42 - 765*j. Determine q(r(g)).\nAnswer: -763848*g**2 + 7416*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) + 65\/(-10). Let f be (33\/(-22))\/(2*2\/(-8)). Let i(d) = -17*d + 10*d + f + 8*d + 5. What is i(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10 = -3*w - 34, -4*m - 43 = 3*w. Let o = 5 - w. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q**3 - 86*q**2 + 23*q + 11. Let i be a(-11). Solve -3*o - 10 = -5*d, -15 = 5*d - i*d + 2*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334827 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 63 + -24 + (-3 - 0) + 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:30 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4532419638 to the power of 1\/2, to the nearest integer?\nAnswer: 67323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 971 + -951. Let f = -79 - -135. What is the lowest common multiple of f and z?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3 - 2680*v**2 - 8058*v = 0.\nAnswer: -3, 0, 1343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 117341, -0.06, -1\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 17493?\nAnswer: 52479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 652905907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005912883 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19383, 19381, 19379, 19377, 19375, 19373?\nAnswer: 19371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78067 and 8272?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13 + 22 - 842\/87 and 79\/6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.09, 0, 1\/8, -0.12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(125)*-2 + (sqrt(125) - sqrt(125)*-1) + 2 + (-3 + sqrt(125)*-1 - 3*(sqrt(125) + 1)))*1)**2.\nAnswer: 480*sqrt(5) + 18016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 95211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1290*i**3 + 16*i**2 - 4*i - 16. Let n(t) = 1286*t**3 + 14*t**2 - 3*t - 14. What is 8*n(s) - 7*q(s)?\nAnswer: 1258*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - w**2 - 2*w)*(w**2 + w**2 - 3*w**2).\nAnswer: w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2*d - 18 + 16, 40 = 10*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 13*g - 38. What is r(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = -7. Let a(t) = -t**3 - 2*t**2 + 4. Let k = 607 - 292. Let y(v) = -154 + k - 2*v**3 - 152 - 4*v**2. Calculate g*a(m) + 3*y(m).\nAnswer: m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8. Suppose g = -0*i - i + 3. Solve -6*c + 9 = -i*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*i*z - a*i - 4*a*z + 1020725*a - 310751*i*z - 2*i - 2*z wrt i.\nAnswer: a*z - a - 310751*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 24*n - 46. Let f be (1134\/12)\/9*(-16)\/(-12). Is t(f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i. Let z(v) = v**2 - 102. Determine z(d(g)).\nAnswer: 4*g**2 - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 13. Let c = -32 + 33. Let k be c\/2 - (3\/(-14))\/(-3). What is the third biggest value in 4, n, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - 5087414.3.\nAnswer: -5087413.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 1231*t**4\/12 - t**3\/3 + 454*t**2 + 1158*t. Differentiate m(c) wrt c.\nAnswer: 2462*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdcd when four letters picked without replacement from {d: 3, r: 12, c: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/4290 and 161\/175230?\nAnswer: 2277990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193 + 189. What is the fourth biggest value in -0.2, 4, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-95) + (-49)\/(12495\/306)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*g - 23372 - 20784, g = 5*m + 22120. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 652*a + 25760.\nAnswer: 2*(a + 46)*(a + 280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w. Let l(u) = 13 - 4 + 5*u - 10 - 4 + 9*u. Calculate y(l(q)).\nAnswer: 42*q - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1756 + 1756. Solve a = -25*k + 24 - 99 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 4*c + 6. Let l be o(-6). Suppose -91 = 13*a - 117. Solve -a*t + 4 + l = -5*n, -t = -5*n - 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -334\/49 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-27))\/(4\/12). Let p be -2 + (-1)\/((-2)\/5). Is b greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129053 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (123 - 170) + (3 - -20)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2300271.\nAnswer: 3, 766757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 + (48 + 16 + -36 - 23) + -18.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x**3 - 35*x + 37*x + 18*x**3 - 2*x**4 + x**4 - 11*x**2 + 27*x**2 to r*x**3 + f*x**2 + s*x + c*x**4 + a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i - 1 + i - 1 + 6. Does 7 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637436019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 7*n**2 + 3*n - 5. Let w be 9\/21 + (-33)\/(-21). Let f be (2 - 3) + 6 + w. List the prime factors of a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -11. Let q(y) = -3*y**3 - 3*y**2 - 3*y - 2. Let c be q(-2). What is the closest to l in -0.5, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10 + z**2 + 18*z - 24 - 8*z + 0*z**2. Let b be n(-13). Solve b*t = 4*q - 2 - 5, -3*t - 3*q + 12 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 12, 4*f - 39 + 23 = -3*y for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 20 = -3*l, 302*u + 8 = 303*u + 3*l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 24*w**2 - 15*w - 604. Let m(a) = -7*a**2 + 5*a + 198. What is 7*m(o) + 2*q(o)?\nAnswer: -o**2 + 5*o + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(130) - (sqrt(130) - ((3*-1*sqrt(130) - sqrt(130)) + sqrt(130)))) + (sqrt(130) - sqrt(130)*1*4)))\/((sqrt(200)\/sqrt(4)*1)\/(-1*sqrt(5)*-3)).\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -30185 (c) 0.2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 9. Suppose -4*s - 35 = 9. What is the remainder when 37 is divided by g(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*g - x + 4, 2*x = 3*g - 14. Suppose 556 = g*w - 504. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.058 - 0.458. Which is the fourth smallest value? (a) q (b) 2\/29 (c) 4\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ba264 (base 12) to base 2\nAnswer: -1111000101111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6484.\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648202 is divided by 2744?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1106471 to four dps.\nAnswer: 0.1106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.67 + 2.8. Let o = 0.13 - l. Which is the smallest value? (a) o (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 3:09 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 669712, 1339445, 2009202, 2678995, 3348836, 4018737, 4688710, 5358767?\nAnswer: 6028920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -717547555, -717547559, -717547565, -717547573?\nAnswer: -717547583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(((-2)\/(-30))\/(68\/20))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -309 or -15755\/51?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0946 + -0.0946. What is the closest to i in -1\/3, 191, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - 611\/91. Let l = 31 - j. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39374.73 decades to months.\nAnswer: 4724967.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-6 - -11) + 6 + -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 8*d**2 - 10*d + 5. Let s be z(-6). Let l = -137 - s. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 941\/4 - 236. Let a be 4*-1*(-1 + 0). Suppose -3*j + 4 = -a*j. What is the third biggest value in 3, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 35*q + 19*q + 6*u = -576, q + 3*u = -64 for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5444*u**2 - 3*u + 335. Let c(f) = 2*f. Determine c(d(h)).\nAnswer: 10888*h**2 - 6*h + 670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27519*q + 1 - 6 + 5.\nAnswer: 27519*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 - 15*f**2 + 104*f + 34. What is l(4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 617 + -613. Suppose -w*u = -7125 + 2377. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -147 + 133. Calculate the remainder when n is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {q: 4, i: 2, j: 8}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14950.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3 + 10 - 6) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4235343 (base 7) in base 8?\nAnswer: -1752432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 655 - -802. Suppose 3*p = -2 + 17. Suppose 3*a = p*s + f, -6*s + 8 = -8*s. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/3)*a**(-6\/7))**(-30))**49)**(-4\/5) assuming a is positive.\nAnswer: a**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -20. Suppose -u + 6 - 1 = 0, 5*v + 120 = -p*u. Let q be v\/(-4) - (-2)\/4. Solve q*t = 3*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 + 121 = -5*y. Is 50 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.3. Let w = 71 + -67. What is the closest to 0.1 in q, w, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3) + 3 + (9 - 13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 2. Let m be t(0). Suppose -3*l + 4 = -m. Let c be l + 2*23 + 1. What is the greatest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 1013022.\nAnswer: 50651.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*d - 23 = 0, q - 2 - 9 = -2*d. Let g be (-2)\/4*q*-54. Suppose -4*z - 40 = -2*f, -3*f - z + g = 4*z. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2177307 and 7722.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 18*z**2 - 18*z - 17. Let h be o(-17). Solve -t + 5*t + 8 = h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0005*25835.\nAnswer: 12.9175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 5*q. Let w(y) = 9*y**2 - 21*y. Let n(r) = -21*o(r) - 5*w(r). Let m(v) be the second derivative of -7*v**3\/3 - 202*v. Give m(n(f)).\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 0.65\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 270, 411, 518, 585, 606, 575, 486, 333?\n\"Answer: -x**3 - 11*x**2 + 181*x + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 312*u**2 - 103*u - 132. What is the units digit of b(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/(45\/(-1485)). Let i(x) = -12*x**2 + 4*x. Let w(u) = 6*u**2 - 2*u. Give p*w(t) + 6*i(t).\nAnswer: -6*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/46 (b) -91\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 128?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.1 + -19. Let n = -2 - u. Let w be 18\/(-33) + (-58)\/(-66). Which is the biggest value? (a) n (b) w (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r - 20. Let h be g(-4). Suppose h*c - 828 = -9*c. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**3 - 9 + y**2 + 2*y**3 + 6*y**3 - y**4 + 11 in the form u*y**3 + d*y**4 + o + w*y + v*y**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4134 + 9717. Let n = i - 2410. Suppose -6*f + 11681 = n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 6\/13 (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 c when three letters picked without replacement from {k: 1, f: 6, p: 2, c: 4, w: 3, m: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25512 and 89792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182207.3 rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 u when three letters picked without replacement from uquuuuuuq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*k**3 + k**2 - 3*k + 3 wrt k.\nAnswer: 282*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Suppose 0 = h*x + x - 24. Suppose -5*b = -x*b. Solve b*a + a + 5 = 0, 0 = 2*t + 3*a + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -10, 2, 6 in ascending order.\nAnswer: -12, -10, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**3 + j - 2. Let t be r(1). Let o = t - -50. What is the remainder when o is divided by 0 + (14 - 0\/1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.445189 times -0.41?\nAnswer: -0.18252749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825998 is divided by 275331.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3\/4, 45, 708.3?\nAnswer: 708.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiijiiyiyjiiiij. What is prob of sequence yjj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 123965684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3682824, 7365649, 11048474, 14731299?\n\"Answer: 3682825*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 20 = 5*u, 3*z = -3*u - 9 - 3. Suppose z = 4*w - y - 7041, y = 3*w - y - 5277. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125 or -1374\/11?\nAnswer: -1374\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1726, -4\/7, -48, -0.2 in decreasing order.\nAnswer: -0.2, -4\/7, -48, -1726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 14. Suppose 0 = q*o - 25 - 2. Is o >= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498243.5 centuries in decades?\nAnswer: 4982435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854685 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-280))\/((-24)\/(-15) + -2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-35) - 142\/(-7). Find the common denominator of -37\/24 and 17*-3*(-2)\/j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.00787 to two decimal places.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 591322 and 326826.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 151436?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.397 * -12266\nAnswer: -4869.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -87*f**3 + 7484*f**2 - 168*f - 232. Calculate m(86).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -0*q + 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1355 - 2064?\nAnswer: -3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1672 and 129808.\nAnswer: 1427888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 15*x + 12. Let s = -18 + 33. Is 12 a factor of d(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)*(-3 - -3). Suppose 17*o - 52 - 33 = g. Put 4, 2, o, 1 in decreasing order.\nAnswer: o, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-66)\/110)\/(((-85)\/(-100))\/(-17)))\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-1\/5))**1 assuming l is positive.\nAnswer: l**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -5 - -38 - -4 - 18?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose -p = -2 - j. Find h such that -2*h**2 + 6*h**5 - 3*h**5 - 5*h**p + 2*h - 2*h**2 + 4*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -970 in 5, 2\/7, -31, -4?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - -117. Solve -a - 3*m - 5 = 0, 4*m + 3 = -s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.05 times -111\nAnswer: -560.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*v + 1 = -88*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(575\/70))\/(-8*(-5)\/(-600)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 y, and 1 v when four letters picked without replacement from yypysyzyypvs.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, -0.049, 2\/5 in descending order.\nAnswer: 163, 2\/5, -0.049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10918 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6746066*w. Let p(a) = -a. What is r(p(m))?\nAnswer: 6746066*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 2, 0.1, 10, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 8:57 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 770113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 k when four letters picked without replacement from klfqlkqqlqkqqq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-3\/8))\/c*c)\/c)\/(c**8\/c)*(c\/(c\/(c*(c\/c**(-1\/6))\/c)))**(2\/9) assuming c is positive.\nAnswer: c**(-1321\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40\/17? (a) -0.1 (b) -15 (c) 3\/2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 31*i - 802. Let t be z(28). Calculate the greatest common factor of t and 2720.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -148, -446, -990, -1852, -3104, -4818?\nAnswer: -7066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*l. Let t(n) = -n + 3*n + l*n - n. Let w(d) = -2*d**2. What is t(w(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let t(h) = 42*h**2 - 25*h + 30301. Give t(w(y)).\nAnswer: 168*y**2 + 50*y + 30301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k**(10\/7)\/k)\/k))\/k*k)**(-48))**(1\/29) assuming k is positive.\nAnswer: k**(-528\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5938149 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.31294 rounded to 2 decimal places?\nAnswer: 8.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 8 = -2*j, b = -j - 3*b - 10. Let o(h) be the third derivative of h**5\/60 - 7*h**4\/24 + h**3 - 44*h**2. What is o(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6474 - -7298. Is 829 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4418 and -1?\nAnswer: 4418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 2 + 9\/21. Let r be 34\/8 + -35 + (-7089)\/(-204). Put 0.4, -1\/19, l, r in increasing order.\nAnswer: l, -1\/19, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c + 375 = 36*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y + 16*y + 10*y - 34*y + 5*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-6) - 150\/(-72). Let n be -6*((-7)\/3 + 2). Are r and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 8:34 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 26 - 7*x)*(2 - 4 + 0) - 11405*x + 3 + 11692*x - 6 to the form s + d*x and give d.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.66 - -464.66. Let w = d + -465. Let q = -0.1 - -0.2. Sort q, -3\/8, 4, w.\nAnswer: w, -3\/8, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5619, 5, 27 in decreasing order.\nAnswer: 27, 5, -5619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22504.4 + -22504. Let v = -3 + 2.99. What is the nearest to v in 2, f, -0.2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-41747820050)\/5481744 + (-4)\/(-6). Let d = -14\/342609 + t. Let g = 7603 + d. What is the common denominator of g and -93\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 - -129. Find the common denominator of 472\/l*6\/8 and (-24)\/(-18)*447\/48*-3*2\/(-12).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -6\/5 (b) 0.3 (c) 0.8 (d) -4\/5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 10\/3*d**2 + 2\/3*d**3 - 208*d - 1824 = 0.\nAnswer: -12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/12)\/(119\/42*-1). What is the biggest value in -0.052, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s + 5*s + 10*s - 25*s**2 + 7*s - 1.\nAnswer: -25*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 8*h - 4*h, s = 5*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1343071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*r**2 - 12*r**2 + 3*r - 9*r**2 - 2*r**3 to s*r**3 + z*r + v*r**2 + c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -394 - -403. What is the third derivative of -y*d**2 + 3*d**2 - 1 - 89*d**6 - 53058*d**5 + 53058*d**5 wrt d?\nAnswer: -10680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m + 12 = 0. Suppose 9 = 4*g + 5*q, 4*g + m*q = -9 + 24. Let h(u) = -u**3 + 7*u**2 - 6*u + 2. What is the units digit of h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40421 + 1?\nAnswer: 40422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + (0 + sqrt(200) - sqrt(200)) + sqrt(200) + (sqrt(16)\/(sqrt(32) - sqrt(8)) - sqrt(2)*-4*-5))**2.\nAnswer: 72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 < -472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -706, 2, 0.2, 0.4.\nAnswer: -706, 0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552800.\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6758652, 13517300, 20275948, 27034596?\n\"Answer: 6758648*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*x - 0*x - 135, 3*x = 5*k - 327. Let m = k + -60. Let f = m + -4. Solve 2*q = -2*o - 10 + 26, -f*q + 5*o = 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/6 and (-12)\/180*(-3)\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from jjjscccejcs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/m**16)))\/((m\/(m*m*m**(-8)))\/m*m*m))**(-28) assuming m is positive.\nAnswer: m**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175383 - 178339 + 356680 = 87*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53625738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202 - 200 - 34*d - 203 + 609 to t*d + w and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -194?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717394.\nAnswer: 2, 358697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + n)*(n**3 - 2 + 2) - n**4 + 5*n**4 - n**4 + (n - n - n**4)*(119 + 26 + 19)*(3 - 1 - 1).\nAnswer: -160*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/70 and 95\/8437562.\nAnswer: 42187810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q + 85. Let s be o(8). Find the third derivative of h - 8*h + 4*h + 134*h**4 - s*h**4 + h**2 wrt h.\nAnswer: 2904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Let l = -245 - -243.89. Let f = l + 1.06. Which is the smallest value? (a) 0 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/19)\/(113\/(-2147))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*f + 4 - 3 - 3)*(-2*f + 0*f + 4*f) + 2*f**2 + 2*f - 2*f.\nAnswer: -60*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*v + 13 = 0, 0 = -2*d + 5*v + 35 + 14. Calculate the least common multiple of d and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - -38 - (2 - 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 0.3, 0.411?\nAnswer: 0.411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 3*v**2\/2 + 2*v - 186. Let h = 1 - 7. Let b(o) = -o - 1. Calculate h*b(p) - 3*j(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*257488\/(-20482).\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 7) + -58 - (-1107 + 1106)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 451206 + 451206.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**6\/36 - 11*m**5\/30 + 7*m**4\/12 + 22*m**3\/9 - 6*m**2 + 1699. Factor k(r).\nAnswer: r*(r - 9)*(r - 2)**2*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53650*0.14\nAnswer: 7511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000052 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56467*f = 56429*f + 7676. Calculate the highest common factor of f and 5555.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**2 - 3*h - 2. Let d be u(-1). Let a = 1 + d. Let w(v) = v**3 + 6*v**2 + 5. Determine w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-16)*r)\/(r**(6\/5)*r))\/(r**(-22))**(-25) assuming r is positive.\nAnswer: r**(-2836\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8371, 8358, 8345, 8332?\nAnswer: 8319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 134 = -194 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102766406.\nAnswer: 2, 179, 287057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**4\/3 - 7*g**3\/6 - 95*g**2. Let j(m) be the first derivative of -7*m**2\/2 + 6*m + 2. Calculate 7*j(n) + 6*k(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (33 - (-13 + -7))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 59 = -3*r, -30 = -3*y - 4*r + 1. Let l = y - 30. Let o = l - -37. Solve 2*x - 12 = 3*p, 5*x - 2*p = 3*p + o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11795613 and 532962.\nAnswer: 3063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41680?\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*b + 8865*b**2 + 10*b**3 + 0 - 8866*b**2 + b**4 + 2 - 3 to the form a*b**3 + v*b**4 + j*b**2 + u*b + t and give u.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697 and 66691.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94783 is divided by 15795.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/5 (b) -0.72 (c) -2\/13 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 - 2034040?\nAnswer: -2033331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -92aa4 (base 12) in base 16?\nAnswer: -2ec9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3502 - -91.0302. Let o = 0.68 - j. Let m = -89.999844 - o. What is m rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -61. Suppose 0*r + w - 153 = -2*r, 0 = -4*r + n*w + 299. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -3 (c) 0.64166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afbhjhr. Give prob of sequence ahrf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440113221 (base 5) in base 10?\nAnswer: 3832311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154462 to the power of 1\/2, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 800\/5829 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*b + 63 = -4*v, -87*v - 2 = -92*v - 2*b - 87 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/19)\/z**(-3\/14))**(18\/7) assuming z is positive.\nAnswer: z**(135\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -14\/5*w**5 + 12*w**4 - 6*w - 20*w**3 + 16*w**2 + 4\/5 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bldb when four letters picked without replacement from dblbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 130*i**5 + 2565*i**4 - 102325*i**3 - 182565*i**2 - 77805*i = 0. What is i?\nAnswer: -39, -1, -19\/26, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2 + 16801146*v + 23523208909443 = 0.\nAnswer: -2800191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73382367 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1331417*f**3 - 6*f**2 + 30456708*f wrt f.\nAnswer: -7988502*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/5)*m)\/(m\/m**(-5\/9)))\/(m**(-3\/16)\/((m**(-13)*m*m)\/m)) assuming m is positive.\nAnswer: m**(-8473\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 + -4. Let f = 36\/7 + -94\/21. Which is the biggest value? (a) f (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -13, -14 in descending order.\nAnswer: -13, -14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 615.6 and 11.\nAnswer: 626.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 + y + 1. Let c(b) be the first derivative of -b**3\/3 - b**2\/2 - 13. Give -c(j) - v(j).\nAnswer: -3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -23. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**8\/3360 - c**7\/2520 - c**4\/6 + c. Let x(g) be the third derivative of o(g). What is the third derivative of x(w) wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = q, -i - 4*q + 9 = -6. Let j = i - -13. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*r - 109 = 0, 0 = 5*h + 4*r + 661 - 596 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**5 + 3*d**5 + d**5 + (-4*d + 4 + 3*d + 0*d)*(-3*d**2 - 6*d**2 + 5*d**2)*(5 - 5 + 2*d**2).\nAnswer: 6*d**5 - 32*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j - 10. Suppose -7*v - 12 = -j*v. Suppose a + 2 = -v*i - 3, 5*i = -2*a - 1. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q - 53*q = 141 - 581. Let y(i) = 2*i**3 - 3*i**2 - 1. Let s(o) = -2*o**3 + 4*o**2 + 1. Calculate q*y(j) + 3*s(j).\nAnswer: 2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * 0.2193919.\nAnswer: 0.32908785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -10 - -7)*33\/(-21).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1284\/(-2247)*98\/4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/22650 and 5\/128.\nAnswer: 1449600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 + -9 + 86*2 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - 22*l**2 + 38*l**2 - 10*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 578\/3 - 194. Let p = -7.9 + 8. Let d = 1.1 - p. Is z less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -2 (c) -0.09 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -260974432*j**4 + 1450625211?\nAnswer: -1043897728*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2202022201 (base 3) to base 2\nAnswer: 1101001110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-748)\/153) + 7\/(-4) + 1\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from annnnnaann.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (sqrt(140) - sqrt(140)*-3*2))\/sqrt(7))\/(((3*sqrt(40))\/sqrt(2))\/sqrt(2)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -2.8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*z, -20 = 8*m - 4*m - 4*z. Solve -1\/5*n + m + 1\/5*n**2 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -592 divided by -6?\nAnswer: 296\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/264)\/((14\/8)\/(-7))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -17. Suppose 5*i + 12 = -4*o, -o + 4*i - 16 - 8 = n. Let q be 4\/o*4\/6. Which is the biggest value? (a) -0.1 (b) 0.4 (c) q (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129.5 * -0.9\nAnswer: -116.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6 - 2 + 0*p + p. Let y be b(-6). Let d = y - 1. Let i(l) = -l**3 - 2*l**2 + 2*l - 4. Determine i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 65 = -y, 0*y = y - 3. Suppose 7*b - 4*b - 219 = -2*f, 4*f = -4*b + 436. Let x = v + f. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/15 - 5603096*f**3\/5 - 117665092*f**2\/15 - 61634104*f\/5 - 16809302\/3 = 0. Calculate f.\nAnswer: -5, -1, 8404651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.039 + -39506553.\nAnswer: -39506552.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t**2 - 30*t - 20. What is d(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7818844 or -7818861?\nAnswer: -7818861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 384*o**5*q**2 + 98*o**5 + 45*o*q**2 - 216*o wrt o.\nAnswer: 7680*o**3*q**2 + 1960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14331 divided by 174?\nAnswer: 4777\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + 2 + (sqrt(891) + sqrt(891) + 1*sqrt(891)*-6 - (sqrt(891) + -1 + sqrt(891) + 4)))**2.\nAnswer: -432*sqrt(11) + 32092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -142*x**3 - 6*x**2 + 3*x. Let w(i) = 141*i**3 + 5*i**2 - 3*i. What is 5*q(o) + 6*w(o)?\nAnswer: 136*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5)*-42*10. Suppose h - 26 = 3*f, h - 2*f = -3*h + s. Is (-2)\/(-4)*h\/2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-10)*i)\/(i*(((i\/(i*i\/(i\/i**(-3\/2))))\/i)\/i)\/i)*i**(2\/9)*(i*i*i*i**8*i)\/i)**(1\/7))**(-37\/5) assuming i is positive.\nAnswer: i**(-2479\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50490 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - f?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1.3, -0.1, 0.349, -0.5, 5, -11?\nAnswer: 0.349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3869*v + 3794 - 141049 = 2029 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3 - 29*h**2*l - 43*h**2 - 2*h*l - h + 3*l + 9 wrt h?\nAnswer: 18*h - 58*l - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206 and 1133?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 11. Let l be s(-6). Suppose 3*u - 2*r = 12, -2*u = l*r + 1 - 28. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thtvthhvpptpvhvphvtt. Give prob of picking 1 h and 1 v.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3772 and 2788.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1191*o**2 + 14395*o - 361*o**2 - 3145 + 0*o**4 - o**4 - 14395*o wrt o.\nAnswer: -4*o**3 + 1660*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 3471960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/12*20\/(-15)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 52*s - 406. List the prime factors of w(-77).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18677826, 18677823, 18677820, 18677817?\n\"Answer: -3*u + 18677829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-2 + -19) - 5 - 18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -1617561.\nAnswer: -10\/1617561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6aa (base 14) in base 2?\nAnswer: 10100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 7024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23050.56 nanoseconds to milliseconds.\nAnswer: 0.02305056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r - 3*r + 4*y, -3*r - 34 = 4*y. Let l be (0 - 1) + 18 + -14 + -2. Sort l, -4, 4, r in ascending order.\nAnswer: r, -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:28 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 975*z**2 - 1726*z. Let b(q) = -1962*q**2 + 3451*q. Let g(m) = -4*b(m) - 9*w(m). What is the second derivative of g(o) wrt o?\nAnswer: -1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6)*p*p*p*p*(p*(p\/(p*p**(-4)))\/p*p)\/p)\/(((p*p*p**(-4))\/p*p)\/((p\/(((p\/(p\/(p\/p**1)))\/p*p)\/p))\/p)) assuming p is positive.\nAnswer: p**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (20 + (-11 - -6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 53*i**2. Let a(o) = 107404*o**2 - 6 + 6 - 107307*o**2. Calculate h(a(v)).\nAnswer: 498677*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 64673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 11:39 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 123376 (base 11) to base 6\nAnswer: 4101420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015a (base 15) in base 13?\nAnswer: -1a251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*n - 21, 2*n - 7 = 4*t - n. Suppose -4 = -t*h + 4. Suppose -4*a + 16 = h*v - v, -4*a = 5*v - 24. Solve -5 = p - 3*s, 10 = -4*p + v*s - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = n - 5*n, 4*n = 5*z + 5. Suppose -5*c = z*a + 8, a + 5*c = 4*c. Suppose 2*s + a*v - 5 = 5, 0 = 5*v - 5. Solve -b - s = 2*d, -b + d - 3 = 5*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 68, 120, 162, 194, 216, 228?\n\"Answer: -5*i**2 + 67*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - sqrt(286)\/(sqrt(99)\/sqrt(9)))\/(sqrt(600)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = -1. Let p = -4 - -8. Let y = p + a. Solve 2*m = y*m - 2*f - 3, -5*m = f + 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.74015 + 0.15985. Let w = 135 - 277\/2. Is x <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 2. Let r be q(-2). Factor r - b**3 - b + 3*b**3 - b**4 - 1 + 2*b**2 - b**5.\nAnswer: -(b - 1)**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 16*j - 1300. Suppose 2*i - 4*n = 118, 0 = 5*i - 6*n + 3*n - j. What is the remainder when i is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200 - -202. Suppose 4*f + 14*v - 15*v - 11 = 0, 5*v = -p*f - 11. Solve -2*c = f*j - 5 + 1, j - 3*c = -14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48535.0228 - -48483. Let d = 0.1228 + q. Let w = d - -52. Which is the closest to w? (a) 2\/15 (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165784696.5 rounded to the nearest ten thousand?\nAnswer: 165780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 2*q - 1. Suppose -4*r + f = -f - 8, -2*r = f - 8. Let t be p(r). Find the second derivative of -y + 2*y**3 - t*y**3 + 3*y**3 wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h - 14. Is i(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - 0.2. What is the nearest to 0 in v, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 397*h + 3*h**2 - 397*h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 409439183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3*37918\nAnswer: -113754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -1)*57\/114.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o - 4*o - 2*o + 0*o + o - 2*o + 2*o + 2*o - 3*o - o + 2*o + o + (3 + 0 - 1)*(-3*o - 3*o + 4*o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.90843788 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4 - 12) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/3 (b) -3\/140 (c) -1\/7 (d) -3 (e) 39\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15ae (base 16) to base 4.\nAnswer: -1112232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6 - (-1)\/(-2). Let l be (-2 + t)*2\/(-3). Suppose -3*p = -5*p. Sort l, 3, p.\nAnswer: p, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14033?\nAnswer: 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -555*l**2 - 6*l + 306. Let f(m) = -1667*m**2 - 16*m + 921. Let y(c) = 3*f(c) - 8*w(c). Differentiate y(n) wrt n.\nAnswer: -1122*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30202 (base 4) in base 5?\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 2:59 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 2 v when four letters picked without replacement from {r: 1, t: 3, m: 2, y: 1, a: 1, v: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -242 (b) 1 (c) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -11\/25, -2\/139, -4\/3, 1.1, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 30*m = -84. Suppose m*b = u + 493, 3*b - 2*b - 3*u = 137. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -6 (b) 0.12 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(-3 + 0 + 2)*(3*o + 0*o - o + (0 - 1 + 2)*(0 + 0 + o) + 0 - o + 0)*(-2*o + o + 0*o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/99 and 8\/375651?\nAnswer: 4132161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 9*i + 15. Let b(q) = -3*q**2 - 18*q + 30. Let k(s) = -3*b(s) + 5*x(s). Let u be k(6). Solve -o + u*j + 5 = -12, -o = -2*j - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -285260, -285269, -285276, -285281, -285284?\n\"Answer: w**2 - 12*w - 285249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 1 + 1. Suppose -4*w - 3*r + 0*r = -83, -2*r = -2*w + 38. Let k(d) = -d - 20 + w. Give q(k(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 5:27 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -5*l + 19. Let u = l - 24. Let g(y) = 3*y - 9. Let v(c) = 3*c - 10. Let w(d) = u*v(d) - 4*g(d). What is the derivative of w(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2623, -2586, -2549, -2512?\n\"Answer: 37*l - 2660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1154457, -1154440, -1154433, -1154442, -1154473?\n\"Answer: -p**3 + p**2 + 21*p - 1154478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2613 divided by 3.\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 840?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqqpiqzpizqiiziiiip. Give prob of picking 1 q, 1 i, 1 z, and 1 p.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/11 - 4*u**3\/11.\nAnswer: -2*u**3*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -7*p**5\/20 + p**4\/6 - 47*p**3\/6 - 143*p. Find the second derivative of y(r) wrt r.\nAnswer: -42*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*y - 2*h - 5106, 0 = 5*y - 2*h - 6381. What are the prime factors of y?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l - 5. Let m(p) = 1. Let k(h) = 5*m(h) + q(h). Let r(w) = 196*w. What is k(r(d))?\nAnswer: -980*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5617636372 to the nearest one million.\nAnswer: 5618000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*s**3 + 34*s**3 - 18*s**3)*(0 - 3 + 4).\nAnswer: 50*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54, -74, -96, -120, -146, -174, -204?\n\"Answer: -x**2 - 17*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5331, 10563, 15659, 20583, 25299, 29771?\nAnswer: 33963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 424080.\nAnswer: 2120400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 3816 - 1907 - 1911 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*c = -329, 2*d - 72 = -c + 53. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -0.0510643790184.\nAnswer: -0.0410643790184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 1. Let s(p) = 4*p**2 - 1. Let i(m) = 2*s(m) - 6*z(m). What is the first derivative of i(l) wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f + 2. Let g be 124\/(-20) + (-1)\/(-5). What is the tens digit of 6 + (-10 - g) + (-84)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/20 - (-2)\/8. Let m(i) be the first derivative of 0*i - 2\/5*i**5 + 0*i**2 - 2 + 2\/3*i**3 + y*i**4. Find the third derivative of m(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 + 28779*b**2 + 7753173*b\/2 + 130091220.\nAnswer: -3*(b - 19320)*(b + 67)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -56. Find the third derivative of -25*z**2 + p*z**4 - 2*z + 73*z**2 + 2*z wrt z.\nAnswer: 1152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 v, and 1 f when four letters picked without replacement from vprfrrl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-77)\/22 - (-2)\/4) + 11. Let r(c) = 7*c**2 + 2*c - 1. Let p be r(1). Solve v = -5*q - b - 0, -5*b = q - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/25032886 and 89\/7390.\nAnswer: 125164430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11433432 (base 5) to base 16.\nAnswer: 1a849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*u - 14. Suppose -u*q + 8 = 0, 0 = -5*o - 3*q - 118 + 794. Calculate the remainder when o is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -46\/50831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -32983.3+0.056585\nAnswer: -32983.243415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/195 and 69\/325.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:35 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 574339 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (5 + sqrt(1008) + -2 + -3)**2 + 3).\nAnswer: 4028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*a**2 - 43 + 51*a**3 + 13*a**4 - 10*a**4 + 46 wrt a?\nAnswer: 72*a + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 265380*s**2 - 265392*s + 530768.\nAnswer: 4*(s - 66346)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*d - 111 - 24. Let x be 2\/4 + (-17)\/2. Let s = -8 - x. Solve c + s*c - d = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/16)*d)\/d*d**(-2\/7)*(d\/(d**(-2)*d))**0)**(-9) assuming d is positive.\nAnswer: d**(-783\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3782153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 15. Calculate the remainder when 34\/(-51)*(0 - 27) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + p**2 - 47 + 3 - p**2 to the form m + s*p + l*p**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4985*q - 917*q - 64533 = -5151*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/27 + -50\/189. What is the closest to -2\/3 in 0.3, 84, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -208, -584, -1192, -2098, -3368, -5068, -7264?\n\"Answer: -11*z**3 - 50*z**2 - 149*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2083720 - 137521465\/66. Let o = u + -608\/11. What is the common denominator of -10 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 20*t = -19*t + 310 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28308, -56745, -85334, -114081, -142992, -172073, -201330?\nAnswer: -230769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128519 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19177 and 2159?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 0*c + 2*c)*(-2*c + 3*c - 2*c) + (-161*c + 4*c + 25*c)*(2*c + 0 + 0) in the form w + s*c + o*c**2 and give o.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - q - 1. Let u be g(2). Calculate the common denominator of -15\/4 and (-548)\/144 - (1 - u).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1629818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 z, and 1 b when three letters picked without replacement from qyzqbzqbqnnizzq.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 116 = -144 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + (sqrt(1900) + 1*sqrt(1900) - sqrt(1900)) + 5)*-3*3)**2.\nAnswer: 16200*sqrt(19) + 617625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 451515.\nAnswer: 2257575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -64*h - 226. Let f(t) = 52*t + 226. What is -5*f(r) - 4*l(r)?\nAnswer: -4*r - 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 352 - 70. Calculate the common denominator of -2\/7 and -2 + b\/(-120) + (-2)\/(-4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*k - 8 = 0, 217*k - 213*k + 2 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 5*i**2 + 2*i - 8. Let g be n(5). Suppose 3*l = g*l - 0*l. Solve -4*k + 25 = y + 2*y, l = k + 3*y - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62552313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 6*c - 4 = 2*y, -2*y - 5*c + 28 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16653 and 1365.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 2 - 2 - s**3 + 4*s**3 - 2*s**3 + (2*s**2 - s**2 - 3*s**2)*(3*s + 0*s - 4*s) - 9557 + 9557 + 701*s**3.\nAnswer: 702*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26397 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 437 (b) 0 (c) 211575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4604524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 + 3*b + 119. Is w(-10) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 1\/2*h**2 + 0*h**3 + 0 + 1\/108*h**4 + 0*h**5 - 1\/540*h**6 - h. Let v(r) be the first derivative of b(r). Factor v(m).\nAnswer: -2*m*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 6*f - 6. Suppose -3 = -p, 6*h - p = h + 17. Let w be t(h). Solve -2 = -4*a + w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 58 - 1 + 126 - 7*k. Let s be x(-9). What is the highest common factor of 410 and s?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by 141?\nAnswer: 70\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-152))\/(((-1)\/5)\/((-156)\/15))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (74\/3)\/((-4)\/12). Let c = -48 - a. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:26 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 5*c = -32. Is 5 + 7568\/6 + c\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*x**5 + 35693152*x**4 + 196314140*x**3 + 73617988*x**2 - 75848716*x + 11154220 = 0 for x.\nAnswer: -5, -1, 1\/4, 557711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = -1. Let f(d) = 22*d**2. Let w be f(m). What is the greatest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c - 4. Let p be v(3). Suppose 4*r - 2*g + 12 = g, -36 = 4*r + 3*g. Calculate the common denominator of -19\/5 and ((-190)\/9)\/(p\/r).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 107 + 183 - 397 + 193*d**2.\nAnswer: 193*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 7*v**2 + 10*v + 8. Let b be h(8). Suppose 2*j - 203 = 9*j. Let n = j + 89. Calculate the greatest common divisor of b and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.910574 centuries?\nAnswer: 49.10574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/3 + 110*c\/3 - 2392 = 0 for c.\nAnswer: -156, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 - 9378*b + 139995 = 0.\nAnswer: 15, 3111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389557 is divided by 2251.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 8 - 3*u + 795*u**2 + 5 + 8 + 0.\nAnswer: 795*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Let u(z) = 24*z**2. Let q(d) = -6*d**2. Let i(r) = -9*q(r) - 2*u(r). Calculate f(i(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556 - 3*m - 1706*m**3 - 744 - 812.\nAnswer: -1706*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 20 = 2*r. Suppose -r*d - 14 = -6*d. Let t(b) = 3*b**3 - 4*b + 3. Calculate the remainder when t(2) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/15 + 106*j**2\/3 + 12766*j\/15 + 80782\/15 = 0. What is j?\nAnswer: -239, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, r: 15}. What is prob of picking 2 s and 1 r?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -29, -43, -69, -107?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*y**5 + y**4 - 92*y**2 - 36*y**5 - y**4 wrt y?\nAnswer: -2640*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - 2*w)*(-3 + 0 + 4)*(-1 - 1 + 3)*(-34*w**2 + 13*w**2 - 23*w**2).\nAnswer: -88*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-1209))\/((-759)\/(-6831))?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215726?\nAnswer: 2, 3, 202621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3396*g - 3401*g + 100. Solve -18*s - 4*a + 16 = -g*s, 0 = -s - 2*a + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 208\/48 - (-4)\/(-3). Differentiate 2*v + 61 + 0*v - 43*v**x + v + 41*v**3 wrt v.\nAnswer: -6*v**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 529079768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 703*g**2 + 27*g + 7. Let m(f) = 352*f**2 + 13*f + 3. Let b(w) = 7*m(w) - 3*y(w). Let d be b(-12). What is d rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4453, 4734, 5009, 5278?\nAnswer: 5541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 640327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10430, -9872, -9314, -8756?\nAnswer: -8198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 45495594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -12. Let a(k) = 26*k - 3. What is the remainder when a(2) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 e when three letters picked without replacement from {e: 4, b: 3, d: 13}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4314 - 0.0314. What is the biggest value in 1\/110, s, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:34 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1133 at least as big as -1007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4701*f**3*q**6 - 14*f**3*q**2 + 3*f**2*q**2 - 1214*f**2*q + 2*f*q**2 - 14536*q**4 - 4 wrt q?\nAnswer: -564120*f**3*q**3 - 348864*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - dc?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftft when four letters picked without replacement from {f: 2, t: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*f + 6*m + 22 = 66, -19*m + 119 + 37 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and -950?\nAnswer: 949.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -129, 1\/3, -4\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -95490261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2. Let r(x) = -4*x**2 + 3*x**2 - 6*x**2. Calculate r(c(p)).\nAnswer: -252*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.187839 millilitres in litres?\nAnswer: 0.003187839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -39*y**6\/10 + 143*y**5\/60 - 143*y**4\/24 + 120*y**2 - 2*y. Let b(d) = 13*d**3 - 4*d**2 + 4*d. Determine 143*b(l) + 4*o(l).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16184 and 567392?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-28))\/((-20)\/((-80)\/(-4)))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21423687 and 154953?\nAnswer: 5739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4890013989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03895 - 8.96105. Is t at least as big as -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32598927 and 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -6, -6, -2, 6, 18?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*u + 9. What is the second derivative of 2*t**u - 4*t - 6*t**3 + 4*t**3 + 2*t**4 wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 748, 738, 726, 712, 696, 678?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 901 + -899. Suppose -5*i + 925 = h*l, 3*i - 255 = -4*l + 1602. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 849393 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 + 2*v**3 + 0*v**3 + 2*v**3 + 3*v**3 - 11*v.\nAnswer: -3*v**3 - 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjqjjijjjqxjjjxj. What is prob of sequence xjj?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p - 281. Let q be u(-23). What is the closest to -1\/4 in 0, 21, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -88108799\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 250.9 less than or equal to -385\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 minus 12.1?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23756, 47521, 71304, 95105, 118924, 142761, 166616?\nAnswer: 190489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (0 - -4 - 18)) + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 1167327\nAnswer: 3\/129703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrrp. Give prob of picking 1 r and 2 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-495)\/6)\/(-11)*12\/(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6125911062 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 1 y when three letters picked without replacement from qrqyrqrqrqqyrwqyyq?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + 0 + (-4 + sqrt(300)*-1 + sqrt(300))*-2 + -4)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 4, -1\/8, 633?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2461 and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 11. Let j(c) = 3*c**2 + 228*c + 21. Let d(x) = x**2 + 72*x + 7. Let f(v) = 19*d(v) - 6*j(v). What is 8*f(k) - 5*l(k)?\nAnswer: 3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:11 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1194967 and 5232.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, t: 4}. What is prob of sequence ptpp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, and 1 m when three letters picked without replacement from {h: 2, m: 1, n: 1, a: 1, o: 2, j: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 259735112 a multiple of 5416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - l + 436 = 2*l, u - 4*l = 443. Suppose u + 51 = 7*b. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 186?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3*((-220)\/15)\/(-2) and (-8)\/(-6)*(1 - -2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-8)*87320\/1110. What is t rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/(-115) - (-16)\/(-90). Let g = -184 - -3498\/19. Which is the closest to -1? (a) -1\/5 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291 + 3*n**2 - n**2 + 0*n**2 + 0*n**2 + 9 - 300.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/216)\/(3\/27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 7*a**2 - 10. What is n(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x + 7. Let t be w(-5). Suppose 46*i - 41*i = 1030. Suppose -178 + i = -k. Is k smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/9 + 17936*v**2\/9 - 1183756*v\/9.\nAnswer: -4*v*(v - 4417)*(v - 67)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 25. Let w be ((-33)\/(-5) + 0)*5. Let g = y + w. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 8, -10, 0.1, 1\/3, 40151?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -209814 and -210779 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*g + 5149 - 5329 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**2 + 3*o**3 + 48*o**2 - 2*o**3 - 2 to j*o + i*o**3 + z*o**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5106, -7825, -10518, -13173, -15778, -18321?\nAnswer: -20790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 173 + -6d?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29432 = -1345954*m + 1346520*m for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2651739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756951.\nAnswer: 7, 250993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/16 - 17\/(-4). Suppose -v - k*c = -13, c = 2*v + 10 - 45. Let z(x) = -x**2 + x + 9. What is the remainder when v is divided by z(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 5*z - 2*z**2 - z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -68.4. Let l = d - -5.39992. What is l rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2850839802.\nAnswer: 2, 3, 47, 3369787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141105.\nAnswer: 3, 5, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211 + 210. Calculate the least common multiple of 2 and (-2)\/x*(7 + 6\/12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*g**2*x**4 - g**2*x**3 + g**2*x - 38*g*x**4 - 3911*g*x**2 wrt x?\nAnswer: 336*g**2*x - 6*g**2 - 912*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v - 1\/6*v**3 - 16*v**2 + 0 - 13\/12*v**4. Let y(l) be the third derivative of l**4\/12 + 2*l**2 - 8. Determine y(z(j)).\nAnswer: -52*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1112\/35 or 32?\nAnswer: 1112\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20100908 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -286 + 286.1. Let g = -0.4 + 0.7. Which is the closest to -2? (a) t (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.2 + 0.2. Let m = b + 6. Let i be (-4)\/(-6)*2\/(-4). Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - -2*sqrt(351))\/(-1*sqrt(12)).\nAnswer: -7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 1. Let n be v(3). Let p(y) = -8*y**2 + y - 2. Let f(t) = -3*t**2 - 2. Let z(s) = 2*f(s) - p(s). Calculate z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -833*n - 37. Is k(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/682?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, -8, -4, -1\/2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 16582?\nAnswer: 165820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -3. Let v be 2\/i - (-74)\/14. Suppose 57 = 5*a + 2*h, -2*a - v = 3*h - 30. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 5:58 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -30030*(16\/(-10) + 48\/80). Is 15 a factor of (-6)\/20 + h\/100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-22)*l)\/(l**(-24)\/l) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11861 - -21338. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = j + 3*k + 18, 26 = -5*j - 3*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Let f = 25 + -40. Let c be f\/9 - 3\/9. Sort c, m, -4 in descending order.\nAnswer: m, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 6) in base 16?\nAnswer: -de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*z = 48 - 8, 0 = -k + 2*z - 5. Let x = -19909 + 19983. Calculate the least common multiple of x and 1 - (k - (-1 - -3)).\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0*j**4 + 0 + 0*j**3 - 3\/70*j**5 - 11\/280*j**6 + 1\/784*j**8 - 2\/245*j**7 - 19*j - 3*j**2. Suppose a(n) = 0. What is n?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25043*h + 998 - 3040*h - 998.\nAnswer: -28083*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89 - 9?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2 - 3. Suppose p*i = 3*k - k + 6, 0 = 2*i - 2*k - 6. Let n = 0.2 + -1.2. What is the nearest to i in 1\/5, n, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 20 - 449. Suppose -6*d + 4*x = -d - 53, -4*x = -12. Calculate the highest common divisor of p and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 38050.\nAnswer: 38050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 0 + 0*h**2 + 8\/3*h**3 + h**4 - 23\/10*h**5 + 3\/5*h**6 + 114*h. Factor w(z).\nAnswer: 2*z*(z - 2)*(z - 1)*(9*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30929 and 102440?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t + 4. Let f(w) = -w - 1. Let u(l) = -6*f(l) - x(l). Let y be u(-3). Solve 0 = m + m - y, -a - m = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrrbrbrbrrrrr. Give prob of sequence rb.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 13*o**2 + 5 - 6*o**2.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**3 - 54*b**2 - 5*b - 30. Let a(m) = -m**3 - 2*m**2 - m + 1. Let h(j) = 3*a(j) - n(j). Let l be h(-16). Solve -l = -c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 = -3. What is the derivative of 10*y - 10*y - 2 + y**h wrt y?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -565\/9 + 688\/9. What is the common denominator of 42\/11 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)\/sqrt(4))\/sqrt(6) - (-4 + 2 + sqrt(2)))*-1)**2*-4*2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 523.2088 tonnes in micrograms?\nAnswer: 523208800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 1\/2*x**2 - 2*x**3 + 2 + 1\/4*x**4 - 4*x. Let w = -179 - -185. Determine u(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8116 is divided by 131.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25640*3\nAnswer: -76920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46396 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4143041 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: -81.7926 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-1400)\/(-42))\/(-1)*(2\/(-2) - 2) and 1120.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12\/g**7)\/(g*g*g*g**(1\/2))**(1\/10) assuming g is positive.\nAnswer: g**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 4*d**2 - d - 5. Let i be y(2). Suppose -106 = 2*x - 0*x. Find the common denominator of x\/(-16) - 34\/i and -3\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.7 - -4.3. Let d = s + -54. Let t = d - -19. Which is the biggest value? (a) -2 (b) -0.08 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-1119 - -1122)\/(393\/7)).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.62 + -3. Let o = t + -0.72. Is -6\/23 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p + 24\/7*p**3 - 12\/7 + 20\/7*p**4 + 4\/7*p**5 - 8\/7*p**2.\nAnswer: 4*(p - 1)*(p + 1)**3*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2971*a - 4. What is the hundreds digit of k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 141*c + 12. Calculate t(47).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(228)\/(sqrt(12) + (sqrt(12) - sqrt(300))))**2 + 2 + 2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6050, 7892, 9738, 11588, 13442?\nAnswer: 15300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Suppose w - 6*w = -3*o + 15, a*o + 5*w = 45. Is o\/(-30) + 502\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/6092 and 127\/12.\nAnswer: 18276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 20 - 84. Let j be (4\/5)\/(20\/150). Suppose 5*z = -3*p + w, -j = p + 2*p. Calculate the lowest common multiple of 4 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(57)\/sqrt(3) + 2 - (3 + (sqrt(76) - sqrt(76)*-1) + sqrt(76)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1490, 1996, 2498, 2996, 3490, 3980, 4466?\n\"Answer: -2*w**2 + 512*w + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9, 2.2, 2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 12*u**2 + 11*u + 35. Let k be g(13). Let w be k\/21 + (2 - (-120)\/(-35)). Let s be (-18 + 0)\/((-26)\/91). Is s less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 3*l**5\/20 + l**4\/3 + 93*l**2\/2 - 69*l. Differentiate s(r) with respect to r.\nAnswer: 9*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 12 = 3*m, 21 = -4*j - 2*m - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*r - 53715 = 0, -7*r = -4*d - 3*r + 42980. Suppose -29*b + d = 5*b. Calculate the highest common divisor of b and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 2*y + 7, y = -2. Let q = -3 - 2. Let g = q - -9. Put 0, g, l in decreasing order.\nAnswer: g, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73152415 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 - -22377?\nAnswer: 22422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 1219, 1813, 2409, 3007?\nAnswer: 3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2 + 5*x + 4. Let t be f(-1). Suppose 0 = t*j - 56 + 20. Solve -j = -2*c - 5*y + 1, -1 = 3*c - 4*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2167255371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let z = g + 0. Let f be (-4)\/(-10) - (-72)\/(-105). Which is the smallest value? (a) z (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1595\/(-15))\/(-29)*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m - 235*v + 233*v + 20 = 0, -13 = -5*m + 4*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*j**5 - 5988*j**2 + 5988*j**2 + (2*j**3 + 2*j**3 - 6*j**3)*(-1 - j**2 + 1) - j**4 + j**4 + 2*j**5.\nAnswer: -75*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-10)\/(-4)*2\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/12 - 2*n**3 - 13*n**2 - 26*n. Let l be c(-6). What is the derivative of 12 + l*o - 7 + 10*o + 9*o wrt o?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20923.0442 to the nearest 100.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1\/45, -1\/3, -1\/5?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m - 1. Let z = -28 + 49. Let b = z + -13. Is o(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 3, a: 9}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0653*0.4\nAnswer: -0.02612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 28 = 34 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17.93 - -1.96542839\nAnswer: -15.96457161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.860288 litres in millilitres?\nAnswer: 7860.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1520357*b**5 + 8*b**3*c**3 - 4*b**2*c + 190*b**2 + 3798*c**3 wrt b.\nAnswer: -91221420*b**2 + 48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 8*t - 14*t)*(-2*t - t + 5*t)*(2 + 1 - 1).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1179 + -1109. Calculate the greatest common divisor of b and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*w + 87150 + 41540. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 10:30 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -8. Let s(j) = 20278*j. Let n be s(i). Let r = n - -11934. Round r to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16243, -16235, -16227, -16219, -16211?\nAnswer: -16203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 3277?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 5\/3 (c) -0.3 (d) -3\/2 (e) -4 (f) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*f - 12. Suppose 34 = 4*g - 5*o, 9 - 1 = 2*g + 2*o. What is the smallest common multiple of (20\/(-6))\/((-2)\/f) and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*d**3 + b*d**2 + 16101*b*d + 6682*d**3 + d**2 wrt d?\nAnswer: -12*b*d + 2*b + 40092*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + v - 103437, -v = -8*t + 4*v + 413685. What are the prime factors of t?\nAnswer: 5, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -507 in 0.3, -3\/5, -500?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -5*s**3\/9 + s**2\/2 + 2*s\/3 + 12. Find d, given that g(d) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 10)\/(2\/(-2) - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + 2*g)*(8*g + 27*g + 60*g)*(-2*g - 4*g + 3*g)*(-2 + 2 - g).\nAnswer: 570*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (432\/2592)\/(1\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.46 + -1.46. Which is the closest to u? (a) 2\/7 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40839 is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c + 27*c + c**3 + 2 - c**2 + 5*c - 58*c as j*c + a*c**3 + x + m*c**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b28e - -c?\nAnswer: -b282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/7*o**3 - 8\/7*o**2 + 2\/7 + 1\/7*o.\nAnswer: (o - 1)**2*(5*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5\/15 + 34*q**4\/15 + 4*q**3\/3 - 6*q**2\/5 = 0. What is q?\nAnswer: -1, 0, 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 19*o + 52. Let u be k(0). Let t = 289 - u. List the prime factors of t.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-5)\/10)\/(714\/(-8704)*-8)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1131.440884209 + 0.47.\nAnswer: 1131.910884209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/7943 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1034*j**2*l**2 - 47*j**2*l + 61*j**2 - 16*j*l**2 + 265495*l**2 wrt j.\nAnswer: -2068*l**2 - 94*l + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 59. Suppose -4*f + 5*u = -2*f - 31, 4*u + 20 = 0. Calculate the remainder when m is divided by (-42)\/4*(-4)\/f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 5. Let w be o(5). Suppose -38 = -6*y + 28. Suppose w = -6*p + 61 + y. Solve 6*a - 2*a = -p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v - 4*v + 5*v)*(13995 - 13995 - 627*v) to the form s*v**2 + q + f*v and give s.\nAnswer: 1881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -36, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1, -3 in ascending order.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -992675, -992655, -992637, -992621?\n\"Answer: -l**2 + 23*l - 992697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-95) + 36\/19. Suppose 4*a + 8428 = -k*y, a = 3*y - 0*y + 12663. What is y rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let z = 51 - 48. Let b(h) = -4*h + 1. Give z*o(a) - 2*b(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-75))\/(297\/110)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 14 = 5*l - 37, -2*l = 2*f - 20. Solve -2*u = -l*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5\/7 - 290*g**4\/7 + 3355*g**3\/7 - 5270*g**2\/7 - 3356*g\/7 + 5560\/7 = 0?\nAnswer: -1, 1, 2, 10, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9*h + 3. Suppose 0*u = 2*u + 8. What are the prime factors of f(u)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76 + 42622.6208275.\nAnswer: 42623.3808275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 605585187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*j = 6*j - 23, 0 = 2*a - 2*j - 6. Suppose -9*x + 72 = y, 2053*y - x + 8 = 2054*y. Solve y = 7*z + a + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.160242586 to four decimal places.\nAnswer: -0.1602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/36)\/(120\/(-80))*-12\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(75) + 6*(-3 + sqrt(75)))**2.\nAnswer: -1610*sqrt(3) + 4204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 7. Let r be (-1)\/(p\/(12 + 0)). Let c(z) = -5 + r + 0 - z. Determine c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68) - sqrt(68)) + sqrt(119)\/(-1*sqrt(7)) + (1*sqrt(1088) - (-1*sqrt(68))\/sqrt(4)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/2 + 3908*t**2 + 7604872*t - 122680448 = 0 for t.\nAnswer: -3916, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d**3 + 3*d**2 - 2. What is o(-2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14433072 divided by 1202756\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u + 2. Calculate d(-22).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - ((0 - -3) + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 204, 219, 240, 267, 300, 339?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14279*n*o**3 + 2*n*o + 3*n + 52*o**3 + 1017 wrt n.\nAnswer: -14279*o**3 + 2*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14760463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -123408 + -244?\nAnswer: -123652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 7:03 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 181530793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:08 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006005326 to seven decimal places.\nAnswer: 0.0000601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w + 4*d, d - 18 = -4*w + 6*d. Suppose -2*t = w*t - 32. Suppose 3*b - t*b + 195 = 0. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 4*t**2 - 13*t + 1. Calculate k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.4450304 months?\nAnswer: 0.0001204192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20001 + 400013\/20. What is the common denominator of o and -25\/1308?\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-5)*(-15)\/(-6). Suppose -50 = -14*w + k*w. Solve -w*p = x + 1, 4*p - 2*x = 2 - 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 11*d - 71. Calculate h(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1 - 17.4. Let o = 12.8 + f. What is the nearest to -1 in 0.4, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*b - 5*i - 15 = 217*b, 0 = -b - i - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/z**(-1\/28)*z)\/z*z*z*((((z\/(z\/(z\/z**(-5\/2))))\/z)\/z)\/z)\/z)\/(z\/(z**17*z)*z*z**(12\/11)))**(-12\/13) assuming z is positive.\nAnswer: z**(-1311\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 118, 267, 476, 745, 1074, 1463?\n\"Answer: 30*h**2 - h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11998855 + -2.4.\nAnswer: -11998857.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*c + 9, -5*c + 6 + 3 = 3*p. Suppose 2*b - 3*b = -o + 64, -5*b = 4*o + 365. Let s = b + 71. Solve -w + 4*a = p, 2 = -w + 5*a - s*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1653 + -1347. Let a be (s\/90 + -4)*(-20)\/18. Factor 1\/6*q + 1\/6 - 3\/2*q**2 - a*q**4 + 11\/6*q**3.\nAnswer: -(q - 1)**3*(4*q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.203 - -56.197. Let h = -46 + q. Let l = 10.39999529 - h. What is l rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112173 is divided by 56068.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (25 + -26))*((-22)\/(-8) - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 7 (b) 2 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1047*a + 1038. What is q(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*o**2 - 122*o**2 - 8 + 58*o**2)*(1 + 93 - 47).\nAnswer: -94*o**2 - 376","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*((sqrt(117) - (sqrt(117) - 1*sqrt(117))) + sqrt(117)) + sqrt(117) - sqrt(117))\/((sqrt(324)*-2 - sqrt(324)) + sqrt(324) - sqrt(9)).\nAnswer: 72*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140899369?\nAnswer: 13, 10838413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 73919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfll when four letters picked without replacement from flkflflfk.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eleeeeeeleeee. What is prob of sequence lle?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 109713 - 248*n**2 - 109707 + 18*n**2 as x*n + f*n**2 + j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/5439 and 23\/6734?\nAnswer: 141414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 6809.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3 - 43. Let z be (r\/(-4))\/(4\/(-40)). Let i = -21 + z. What is the greatest common divisor of i and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1625 by -4439.\nAnswer: -1625\/4439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -281, -533, -759, -959?\n\"Answer: 13*b**2 - 291*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 3. Suppose -n*h - 7 = -5. Sort h, 0.5, 4 in descending order.\nAnswer: 4, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -510*p**2 - 509*p**2 - 2*p + 84 - 19*p**4 + 1019*p**2 wrt p.\nAnswer: -228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + 5. Calculate the remainder when 109 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 63008*r**2 - 3159056*r + 21237888.\nAnswer: 4*(r - 42)*(r - 8)*(r + 15802)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(684) - (-2 + sqrt(684))) + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -31 - 74. Let c be v\/(-28)*(1 + 3). Solve -s = 8 - c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6295.3628 rounded to the nearest ten?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5256991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557648 is divided by 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 21. Let f = -2 - -2. Suppose 2*b + b = f. Solve b = 6*g - 3*g - p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/15)\/((-2)\/(-18)). Let x = 14\/5 + h. Is 1\/4 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 - p**3 + 0*p**3 + (-15*p - 7 + 0*p + 6)*(-2*p + 3*p - 2*p)*(-1 + 1 - 2*p) to the form r*p**3 + z*p**2 + v*p + n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 337 - 341. Sort 498, 0, u, -1.\nAnswer: u, -1, 0, 498","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/21)\/((-68)\/(-476)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/8 - 32505*k**3\/4 - 264111247*k**2\/2 + 2113572633*k\/4 + 5283525245\/8 = 0. Calculate k.\nAnswer: -32507, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6226?\nAnswer: 2, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/15)*t)\/t)\/t*t**6*(t\/t**(1\/12))\/(t\/(t\/((t*t*t**3*t)\/t))))\/((t\/((t\/(((t*t**16*t)\/t)\/t))\/t))\/(t\/(t**10\/t)))**(3\/13) assuming t is positive.\nAnswer: t**(-1227\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(891) + sqrt(891) + 1)*-3 + -2)**2.\nAnswer: 432*sqrt(11) + 32092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.02 take away 9?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105398502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from accmkcmazamckzmccc. Give prob of sequence aak.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 639714*h**2 + 319569*h**2 + 319718*h**2 - 6.\nAnswer: -427*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 202 (b) -0.4 (c) 1 (d) 1\/2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11616?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(175) + -4) - (5 + -2 + sqrt(28)))*-5.\nAnswer: -25 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 12) to base 16\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 9*n + 1834 = 0. Let v = -39 - n. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/15, -0.2, 8, 4, 8\/1525.\nAnswer: -0.2, 8\/1525, 1\/15, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039 + 1039 + 4*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20094679*t**6 - 34455*t**2 - 675?\nAnswer: 2411361480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjpbjjbgdjjpbgppg. Give prob of sequence bpp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = -3*c + 7*c, -4*c - 4 = -2*y. Solve -y*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111092 and 1912.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -14*v. Suppose 4*d + 35 - 227 = v. Suppose 160 = 3*n - p, 4*p + p - d = -n. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-156)\/(-32)*6\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 - 157. Suppose n - v*n = 5*w - 17, 0 = -5*n + 5*w + 15. Solve -4*z + 2*l = 18, 0 = z + n*z + 3*l + 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0) + 0 + 1. Let b = -3 + 7. Let i(s) = b - 5*s - 10*s + 2 + 14*s. Calculate i(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 189088.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 1780760*y + 792776544400.\nAnswer: (y - 890380)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2664*p**4 - 1784 wrt p?\nAnswer: -10656*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 5*a - 25, 2*a = -2*f + 7*f + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/(-91)*(-126)\/(-297)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19524700, -19524683, -19524666, -19524649, -19524632, -19524615?\nAnswer: -19524598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x)**(3\/13)\/(x**(-1\/5)*x**(-1\/6)))\/((x**3\/x**(-1))\/(x\/(x\/x**(-2\/5)))**(2\/9)) assuming x is positive.\nAnswer: x**(-979\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, 3, -1, -5, 49 in increasing order.\nAnswer: -5, -1, 3, 5, 9, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from annnnnnannnnaa. What is prob of sequence nna?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:55 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2026271\/81 + 25016. Let f = 32591 + -3226442\/99. Calculate the common denominator of w and f.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0*v + 3*v - 51, -3*j + 3*v - 33 = 0. Let c be 3\/j*(0 - 42). What is the greatest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143929993 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22507035391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3 and -47\/1607.\nAnswer: 4821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 15. Let m be k(-13). Solve 8 = -m*p - 0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -19*z**3 + z**2 + z + 4. Suppose 40*m - 115 = 35*m. Suppose 2*w + m = 19. What are the prime factors of r(w)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 463*j - 463*j + 4017*j**3 - 19.\nAnswer: 4017*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 140, 138, 138, 140, 144, 150?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:55 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25055d (base 15) to base 16\nAnswer: 1b0e20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295234053.\nAnswer: 3, 17, 59, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -226 + -4?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w + 5*q = 22*w + 23, 0 = -5*q - 5 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:35 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from iihfifhffiiiif?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(162)*1 - (sqrt(2)*2 + -4)**2*1.\nAnswer: -27 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 + -65.7395231497.\nAnswer: -122.7395231497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -13. Suppose 0*c + 12 = 3*c + 3*p, 0 = r*c - 5*p - 12. Calculate the greatest common divisor of c and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1116)\/5022*(-9)\/26.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 508.\nAnswer: 16256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.289 + -0.3. Let t = 0.311 + d. Which is the second smallest value? (a) -3 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1554 - -669a4?\nAnswer: 68448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/5)\/(-40)*5\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 24. Give j(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/5))**(-1\/14) assuming u is positive.\nAnswer: u**(-3\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/(-5))\/(-5)*(-104)\/(-156).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpuuufkpuuuuzp. What is prob of sequence zkf?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by -2.\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11314 (base 5) in base 6?\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 3, k: 1}. What is prob of sequence scs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**(-5\/3)*m)\/m)\/m)\/m**(-24))**(-10\/11))**(-30\/7) assuming m is positive.\nAnswer: m**(6400\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -38*u**2 + 19*u. Let z = -61 - -72. Let x(k) = 191*k**2 - 95*k. Let a(g) = z*l(g) + 2*x(g). Find the second derivative of a(n) wrt n.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 66\/(-17) - 770\/(-187)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -3 + (-11 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 127*u + 305. Let p be l(0). What is the greatest common factor of 60 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmj when three letters picked without replacement from jjmmkmmjmjkmkjmjm?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m**4 + 134*m**3 + 724*m**2 + 960*m = 0 for m.\nAnswer: -15, -16\/3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-40) + (-471)\/105. Is s less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = -i + 5*p - 403, 0 = 4*i - p + 8. Put i, -3, -27, 0 in decreasing order.\nAnswer: 0, i, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 23148.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a factor of 1705734176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-530)\/(-1590))\/(2\/(-294)*-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -67) + 8 + -3. What is the highest common divisor of j and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, c: 7, l: 5, t: 1}. What is prob of picking 1 t and 1 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -155\/6, -2\/5, -19, 1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 326523303 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7158 or 0?\nAnswer: 7158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*l - 1240 = 0, 1200 = -h + 6*h + 3*l. Suppose -h - 27 = -4*x - 2*m, -m = -1. Let k = 5 + x. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/56 and 45\/12*22\/(-7777).\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzdztnpnhhhp. What is prob of picking 1 t and 1 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - j - 4)*(-1 + 0 - 1 + (-41 - 132 - 70)*(-1 + 4 + 3)).\nAnswer: 1460*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/16*(-286)\/(-1287) - 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 187 (c) 648 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302131 (base 5) to base 9.\nAnswer: -14230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1555*j = -1539*j. Sort 5, j, 7, 61 in descending order.\nAnswer: 61, 7, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 8 = 0. Let m(p) = 7*p - 12. Let j(r) = 3*r - 6. Let w(f) = 5*j(f) - 2*m(f). Let c be w(l). Solve -3 = b + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -53. Suppose -80 = -y*q - 3*q. Suppose -8*x - 8 = q. Let l(t) = t**3 + 2*t**2 - 2*t. Determine l(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 12 = -15*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 4434 + 4419 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3966, 14824, 5 in decreasing order.\nAnswer: 14824, 3966, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 12*s**2 - 3*s**2 in the form k*s + i + t*s**2 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - v**3 + v**3)*(0 + 3 - 1) + 11*v**3 - 28*v**3 + 12*v**3 - 5*v**3 + 0*v**3 + 4*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12879 - 12849. Solve 9*v - z = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558871 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1167806 divided by 5\nAnswer: -1167806\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.281 - 1647202896?\nAnswer: -1647202895.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.03142 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4306091 divided by -113\nAnswer: -38107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/4)\/r)\/(r\/(r*r\/(r\/r**(-4\/7))*r))*r**(-1\/33)*r**(-10) assuming r is positive.\nAnswer: r**(-8179\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 544878 and 2361138?\nAnswer: 7083414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39427 is divided by 2627?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43, -79, -117, -157, -199, -243, -289?\n\"Answer: -s**2 - 33*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42175 - -59399. Suppose 0 = k - 9*k + b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) + 3 + sqrt(19))**2 + -3 + sqrt(19) + -3.\nAnswer: -431 - 59*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**6 - 2*f**5 - 37*f**4 - 25*f**2 - 11*f - 9?\nAnswer: -600*f**3 - 120*f**2 - 888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + x**2 - 2*x)*(-71*x - 18 + 143*x - 74*x) to the form v*x**3 + q + f*x + g*x**2 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*b - 2231 = 576*b - 290*b for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -45 and -78 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1094612, -1094592, -1094552, -1094492, -1094412, -1094312, -1094192?\n\"Answer: 10*m**2 - 10*m - 1094612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*w - 5 = 0, d - 3 = -d + w. Let k(p) = -5*p + 5. Let t(v) = 4*v - 4. Let j(m) = 5*k(m) + 6*t(m). Let g(s) = -s + 5. Determine d*g(x) + 5*j(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -21*g - 66. Let p(t) = -11*t - 33. Let o(w) = -6*m(w) + 11*p(w). Let u be o(-6). Solve h = u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 33*r - 27*r - 1. Let m = -3 + 2. Sort -5, r, 0, m in decreasing order.\nAnswer: r, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -15488*w**5\/9 - 1760*w**4\/9 + 152*w**3\/3 - 2*w**2 = 0?\nAnswer: -1\/4, 0, 3\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5247 - 6*t**2 + 4*t**2 + 5247.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q + 5. Let u(t) = 6*t - 6. Let l(m) = -5*s(m) - 4*u(m). Let f be l(3). Is -2 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 11:10 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 21*w**2 + 19*w - 29. Give t(20).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -29. Let q = z + -10.6. Put q, -0.3, -1.3 in decreasing order.\nAnswer: q, -0.3, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 108. Sort t, -35, -1 in increasing order.\nAnswer: -35, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15011415 + 4?\nAnswer: 15011423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**3*o**2*w**2 + 7*a**3*o**2*w - 7*a**3*o**2 + 3*a**3*w**3 - 2*a*o*w wrt w?\nAnswer: -14*a**3*o**2 + 18*a**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r**5 + 6*r**3 - 6*r**3)*(-3 + 5 + 2).\nAnswer: 44*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i**2 - 2*i + 6. Let l(p) = -11*p**2 + 3*p - 7. Let s(w) = -6*l(w) - 7*u(w). Suppose s(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553, -687, -905, -1201, -1569, -2003?\nAnswer: -2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**2*q**3 + 5*j**2*q + 1425*j**2 - 214*j*q**2 wrt q.\nAnswer: -36*j**2*q - 428*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4 - 268385*w**3 - 805185*w**2 - 805195*w - 268400 = 0. What is w?\nAnswer: -1, 53680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -9. Let s be y\/(-14) + 95\/7. Suppose 2*j - j = s. Solve -3*q - g = j + 4, 0 = 4*g + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1443887, 1443888, 1443893, 1443902, 1443915?\nAnswer: 1443932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3899\/1740 - -4\/435. Let x(p) be the second derivative of 0 + 5\/6*p**6 + o*p**5 + 35\/12*p**4 + 17*p + 5\/3*p**3 + 5\/42*p**7 + 0*p**2. Factor x(y).\nAnswer: 5*y*(y + 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936288 is divided by 133755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -174518*n**2 - 76*n + 306537425 wrt n.\nAnswer: -349036*n - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/((-7)\/(567\/81))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*l + 5126, 5*l - 20082 + 4636 = -3*h. What are the prime factors of h?\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1764496 greater than -1764440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3)*(26 - 21)\/5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15594703 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 1. Let v be c(-5). Let q(y) = -y**2 - 26*y - 91. Let o be q(-6). Let a = o + v. Calculate the greatest common factor of a and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 0 in increasing order.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41056, 41021, 40986, 40951?\nAnswer: 40916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6366*m*s + 9945*m + s wrt s.\nAnswer: 6366*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 10\/4321, -0.21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -11*w**3 + 31*w**2 + 17*w - 81. List the prime factors of o(-12).\nAnswer: 3, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361 + 1358 + 42*h**3 - 2719.\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465044.\nAnswer: 2, 19, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 3*a**2 + 3*a - 4. Let c = 36 - 34. Suppose -m + 5*d + 8 = 7*d, -2*d + 6 = c*m. Let l be (m\/4)\/((-3)\/(-96)*4). What is s(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5, 4*g + 49 = u - 46. What is the greatest common factor of 36 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 8*a - a**2 - 10*a - 12 + 2*a. Let g(s) = -s + s - 2*s. Determine b(g(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5295 in -0.45, -1, -5?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29651 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4166310 divided by -694385?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 992133722 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to -143280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 30 = 5*h, -5*h - 105*b + 108*b = -25. Solve -h*p - 22 = -4*u, -p - 5 = 4*u - 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**3 - 299*d**2 + 56*d - 84. Does 15 divide i(51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*m = -12, -5*m + 6 = 2*b - 0*m. Suppose 0 = f - b*x - 139, x - 5*x = -5*f + 717. List the prime factors of f.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/15 - 1\/(-5). Let j(w) = 3 + 3 - 7 + z. Let y(h) = 2*h**2 - 6*h - 6. Let m(x) = 2*j(x) + y(x). Determine a, given that m(a) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4211.723ng?\nAnswer: 0.004211723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -39*l + 13. Let i(x) = 10*x - 3. Suppose -129*t + 136*t - 182 = 0. Determine t*i(q) + 6*a(q).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 + 11*d - 12. Suppose 12*c + 48 = 8*c. Let y be o(c). Suppose -y = 5*n - 1018. What are the prime factors of n?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -731*a. Let u(g) be the first derivative of g**2\/2 + 671. Determine u(c(x)).\nAnswer: -731*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 10*m**2 + 22*m - 300. Give c(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2 (b) -1\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*n**3\/4 + 531*n**2\/4 - 345*n\/4 + 57\/4.\nAnswer: -3*(n - 19)*(3*n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46842 (base 10) in base 2?\nAnswer: 1011011011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340988165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -384*x**4 + 31*x**3 + 2*x**2 + 22734659 wrt x?\nAnswer: -1536*x**3 + 93*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 - c**4 - c + 5 - 2*c**2 + 20 - 2*c**4 to q + l*c**3 + i*c + u*c**2 + x*c**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6*c**3 - 19*c**3 + 2.\nAnswer: -25*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(10)\/sqrt(2) + (sqrt(5) - (5 + (sqrt(405) - sqrt(5)) + sqrt(5))))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571*d - 331*d + 6000 = 0 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 440\/152 + (-40)\/(-380). Solve -21 = -m*d - 2*l, 3*d + 9 = 4*l + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 + 241. List the prime factors of d.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m - 3. Let b(d) = -144*d + 32. Let t(i) = 3*b(i) + 32*h(i). Let n(p) = -2*p. Determine n(t(r)).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.38 + -0.12. Let c = -20.381 - u. Round c to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*o + 3*i, -19 = 115796*o - 115799*o - i for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (42 - (2 + 1 + 6))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mooomoq. Give prob of sequence mqoo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by (20\/5 - -1)*6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, o: 4, e: 6, k: 5}. What is prob of sequence ceo?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23418026689 + 4\nAnswer: 23418026693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 11) in base 16?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 18 + 43 + 2*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71345.4um in meters?\nAnswer: 0.0713454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18165 is divided by 1065.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 13, -1\/10, -4, 2\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 0*j**3 - 2*j**3 + (-2*j + 2*j + 4*j)*(3*j + 2*j**2 - 3*j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*g = -42607, -3121*g - 4 = -3125*g. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + 3 + -3 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/6916 and -115\/224.\nAnswer: 55328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*n**2*t**2 + 12*n**2*t - 3*n*t**2 + 12*n - 6*t**2 wrt n.\nAnswer: 130*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 41. Let j be ((-6)\/2 - -17)*(3 + -2). Suppose 0 = 9*q - j*q - 10. Put q, -10, 4, l in increasing order.\nAnswer: -10, q, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-131.9.\nAnswer: 13.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 12. Let g be a(-10). Let j be (8 - g)*(-2)\/(-3). What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4 - i**3\/3 - 2. Let p be w(1). Let v be 0*(-1 - p\/(-2)). Solve 0 = -4*z - 2*k - 2, -z - 5 = -v*k + 5*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, -3, 0.7, -1\/10, -2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - (-46)\/(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 107.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30500005 (base 9) in base 3?\nAnswer: 1000120000000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 779*m**2 - 83477*m - 957. Give o(-477).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -439450000 to the nearest one million.\nAnswer: -439000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -70265175.72 rounded to the nearest one thousand?\nAnswer: -70265000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkrkkrkrrrk. Give prob of sequence rk.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*w**3 + 74 + w**2 - w**4 - 59 - w**2 - 18 + 2*w as p + u*w**3 + q*w + g*w**4 + l*w**2 and give u.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 divided by -2?\nAnswer: 107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 0.4, -0.8, -11, -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3582, -14257, -32022, -56877, -88822?\n\"Answer: -3545*w**2 - 40*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 x, and 1 v when four letters picked without replacement from ijxijijjjliljilivt.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*a - 6, 3*f + 93*a = 103*a + 66 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Suppose -3*c - q*g = 16, -3*c + 4*c - g - 3 = 0. Let z = 8 + -10. Is z less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6857566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 77 + 62 = v, -3*p + 5*v + 110 = 0. Let m = p - 21. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.3 (b) 54 (c) 0 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.247052km to meters.\nAnswer: 1247.052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 4015*w**2 + 1980*w - 56195. Calculate i(-2008).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f - 2 - 17*f + 2 + 13*f**5 wrt f?\nAnswer: 260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4, -3, 0.27 in increasing order.\nAnswer: -12, -3, 0.27, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17739814 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 13\/(13\/(-42)). Suppose j - k = -28. Suppose -12*g = -7*g - j. Is g >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 + 95. Let g = f - -45.0026. Round g to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -133960?\nAnswer: -3750880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-4 - -2) - (-215 + 209)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1166541242 + 3?\nAnswer: -1166541236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*q**3 - 1238176*q**2 + 17420573486*q + 22173644668.\nAnswer: 2*(q - 28141)**2*(11*q + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 14*i - 10628 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b + 3. Suppose -n = 5*l - 10*l + 24, 3*l = -b*n - 8. What is the remainder when (-40)\/3*(-18)\/l is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 14\/20767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 8:51 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 + 318 + 32*p + 334 + 328 - 1315.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/6365268 and -197\/135720.\nAnswer: 63652680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by -3 + (0 + 1)\/(29\/58) - -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*v + 18, -130*q + 36 = -126*q - 18*v + 23*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001841643975 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12041*k - 271. Give o(0).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-3))\/((-3)\/(-18)). Let c = k + 22. Let x = 20 + c. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2135 = -1003*t - 13168 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-4 + -3 + 11)) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/25 + (-46)\/(-10). Suppose j = v*k - 12, 2*k + 5*j - 30 = -3*k. What is the remainder when 7 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/10 + 17*a**2. Let x(q) = q. What is x(i(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -1, 86, -0.1, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8545 + 8544.4. What is the nearest to l in 5, -5, 10\/23?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4419314*d**5 - 31376593*d**2.\nAnswer: 265158840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:10 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5406*s**2 - 5290*s**2 + 11332*s**2.\nAnswer: 636*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = 3, 0 = 5*k + 5*q - 2700. Let y = -247 + k. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3407 + -5?\nAnswer: 3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-15)\/6)*(-3 + 13). Suppose -t*q - 26*q = -837. What is the lowest common multiple of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 6*n - 1. Let l be w(5). Let m(h) = -h. Let p(i) = 8*i - 2. Let u(d) = 14*m(d) + 2*p(d). Determine u(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 1, 0.5, -13 in increasing order.\nAnswer: -13, -3\/8, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 482035691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -90\/83?\nAnswer: -90\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(350) + -6*(sqrt(350)*3 - sqrt(350) - sqrt(350))))\/(sqrt(63)\/(sqrt(36)\/sqrt(4)) - (-5*sqrt(252) - sqrt(252))))**2.\nAnswer: 20000\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226830824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1296 and -121\/216.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**2. Suppose b - y + 20 = 0, -5*b + 2*y - 4*y - 107 = 0. Let v(n) = -33*n**2. Determine b*s(l) + 5*v(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l - 26*l + 2*l)*(-l**4 + 4*l**4 - l**4).\nAnswer: -30*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -3*d**2\/2 + 1. Suppose 6*k = -8 + 2. Let m(h) = h - 1. Let a(u) = -9*u + 6. Let j(t) = k*a(t) - 6*m(t). What is j(s(v))?\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(60)*-1)\/sqrt(6))\/(1*sqrt(25)\/sqrt(5)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -255 - -255.5. Is c not equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -2\/15*m**6 + 0 + 1\/3*m**4 + 12*m - 1\/63*m**7 + 0*m**2 + 8\/9*m**3 - 7\/30*m**5. Find b, given that c(b) = 0.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5151.\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 5*r**2 + 6*r - 2. Let v be y(4). Let j = -93 + 130. Calculate the remainder when j is divided by (-8)\/(-12) - (-44)\/v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 11:31 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145984, 145844, 145610, 145282, 144860?\nAnswer: 144344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9394522 take away 0.08?\nAnswer: -9394522.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)*n*n**(3\/2))\/((n*n\/((n*n\/(n*n*n\/(n*(n\/(n**(-5)\/n))\/n*n*n*n)*n*n*n))\/n))\/n**(-40)) assuming n is positive.\nAnswer: n**(-893\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10604142 + -2?\nAnswer: -10604144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32\/13, 3, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 85*j + 3404. Calculate w(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*s + 2338*s - 122*s + 262*s to x + a*s and give a.\nAnswer: 2451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*l + 203 = -13*h + 50*l + 622, -4*h - 5*l = 30 - 137 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 - 6*s + 3. Let n(v) = -v + 1. Let t(b) = -6*n(b) + q(b). Let f(l) = 6*l**2 - l - 3. Let i(r) = -6*f(r) + 7*t(r). What is i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7 - (2 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**5 - l**5 - 4*l**5 + (-2*l**3 - 2*l**3 + 2*l**3)*(4*l**2 + 2*l**2 - 4*l**2) - l**5 - 118*l**4 + 127*l**2 - 127*l**2 + 11*l**2 + 8*l**5 - 11*l**2.\nAnswer: 4*l**5 - 118*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**3 - 6*l**2 + 9*l + 7. Let u(s) = s**3 - s - 1. Let m(y) = i(y) + 5*u(y). Is m(-7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -11. Suppose -3*m - 16 = -7*m, -d + 4*m = g. Suppose -3*c + d*c = 30. Solve c*x = 3*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 210 - ((-45)\/30 + 7\/(-2)). Let z = l + -210. Sort 0, -9, z in increasing order.\nAnswer: -9, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -100111100?\nAnswer: -100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c14 (base 14) to base 3.\nAnswer: 112112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - -3. Let h = 3 - p. Let a be (-3 + (1 - 1))*300\/(-1125). What is the biggest value in a, -1, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d*t**3 + 39*d*t**2*x + t**3*x + 237*t**2*x with respect to d.\nAnswer: -8*t**3 + 39*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 163*d - 161*d - 16, d = 2 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiiiiififiiff?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(7\/9)\/(o**(2\/5)*o*o*o\/(o\/((o*o**(-2\/17)\/o*o*o*o)\/o*o))) assuming o is positive.\nAnswer: o**(-3446\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 + 9*p + 43. Calculate z(14).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.24. Let z = q - 16.74. Let u = z + 16.9. Which is smaller: u or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -91*w + 2613. Calculate o(28).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = 40. Let f = -49\/10 + -11\/2. Is t greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -11*o**3\/3 - 6*o - 2. Let u be a(7). What is the common denominator of -31\/8 and u\/(-6)*2\/(-30)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*u**3 - 1525*u**2 + 1525*u**2)*(u**2 + u**2 - u**2 - 3*u**2 + 2 - 2 + (-1 + 2 - 2)*(0 + 2*u**2 + 0)).\nAnswer: -288*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-36) - (12572\/(-1386) + 9)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -753810 divided by 150762.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11502648 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 - 2 - 4*p - p - 9*p wrt p.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 6. Suppose -3 - 12 = -5*n. Let d be 18\/3*-2*4\/16. Put n, i, d in ascending order.\nAnswer: i, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 4. Let k(p) = 2*p + 3. Let b(h) = -4*k(h) - 3*l(h). Let a(c) = -c**2 - 99 + 99. Give a(b(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -121.80942 times 5\nAnswer: -609.0471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5 and ((-530)\/(-165))\/((-8)\/(-12)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 2*s**2 - 5*s - 3. Let a be p(4). Let g be (a\/(-3))\/((-3)\/2). Suppose -2*t + 1 - t - t**g + 4*t**2 - t**3 = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600b (base 14) in base 16?\nAnswer: 405b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l. Let v(s) = -7*s**2 + 17. Give y(v(m)).\nAnswer: -49*m**2 + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80365378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyuyuudqqddquqdubd. What is prob of sequence qyyu?\nAnswer: 5\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/3 + -6)\/5. Put 4, v, 5 in descending order.\nAnswer: 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3648164.\nAnswer: 2, 13, 70157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3729)\/(-88))\/(-113) - 1785\/(-24).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1024?\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*b*w**3 + 3*b*w**2 - 4565*b*w + b + 354542*w**3 - 28*w**2 wrt b.\nAnswer: 16*w**3 + 3*w**2 - 4565*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15313, -15508, -15835, -16294?\n\"Answer: -66*b**2 + 3*b - 15250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, 0.2, -0.3, -5, 0.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-572*z**2 + 2859*z**2 + 345*z**2)*(-5 - 6 + z + 3) to the form b*z**3 + v*z + y + q*z**2 and give q.\nAnswer: -21056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7881, -8024, -8167, -8310, -8453?\nAnswer: -8596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -53 - 1652. What is the common denominator of (-1)\/2 - -57*(-8)\/(-2160) and (1 + y\/(-2))*(-2)\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - 3*(sqrt(209) + (sqrt(209) - (sqrt(209) + -2*sqrt(209)) - sqrt(209))) - sqrt(209))\/sqrt(11).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*((-1)\/2 + 1). Suppose -6 = -2*g - q, -3*g + s = 3*q - 15. Let j = -115904 - -115904.4. Which is the biggest value? (a) j (b) -1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6858155 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, 1, 106 in decreasing order.\nAnswer: 145, 106, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -228, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496 a factor of 83012422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 175*b**2 - b**4 - 328*b**2 + 174*b**2 - b**3 as t*b + y*b**4 + s + j*b**3 + q*b**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 991 - 943. Calculate the greatest common divisor of v and 224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p**0\/p)))**(2\/129))**(-8\/9))**(-2\/63) assuming p is positive.\nAnswer: p**(-32\/73143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1122469432 to the nearest integer?\nAnswer: 33503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -42. Let m be (x\/12)\/(6\/4545). Factor 0 - 3*y**2 + 0 - 502*y + m*y.\nAnswer: -3*y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 58260061.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2 + 330492*r = 0.\nAnswer: 0, 330492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*z + 239, 5*z + 4 = -d + 41. Calculate the remainder when d is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 7*l**5\/60 - 5*l**4\/24 + 9*l**2. What is the second derivative of n(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -431 + 427. Sort p, -107, -0.3 in increasing order.\nAnswer: -107, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 632.22012ms?\nAnswer: 0.0000010453375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49, 93, 137?\n\"Answer: 44*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 152880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebdvewh. What is prob of sequence ehd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4 - 12969*c**3 - 286350*c**2 - 1824300*c - 2607000 = 0.\nAnswer: -10, -2, 4345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17390020*x**3 - 305437*x**2 + 4*x + 4 wrt x?\nAnswer: 104340120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + 1 - (-2 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.77861ns to hours.\nAnswer: 0.000000000009660725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20439, -16845, -13251, -9657, -6063?\n\"Answer: 3594*k - 24033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 808*l. Let q(h) = -48*h**2. Give q(v(r)).\nAnswer: -31337472*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*z**4 - 15*z**3 - 5659*z**2 + 9141*z + 660?\nAnswer: 156*z**2 - 90*z - 11318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 492 - 2*v**2 - 1914*v + 961*v + 953*v.\nAnswer: -2*v**2 - 411","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 6*s - 26. What is y(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 - 92. Let j = y + 14. Let x(f) = -9*f. Let p(b) = -3*b. What is j*p(l) - 3*x(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*m + 266 = -78, 20 = 5*m. Let g be 423\/h + (-7)\/(-9) + -1. Solve -5*o = -g*q - 0*o, 2*q - 3*o + 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and -0.6.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - w**4 - 159*w**3 + w**2 + 156*w**3 - 99*w + 103*w - 1 to the form c*w**3 + z*w**2 + x + h*w**4 + o*w and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2299)*-3 - ((-1*sqrt(2299))**2 + -5)) + 2 + 2*sqrt(2299) + sqrt(2299) + (-2*(sqrt(2299) + -1 - sqrt(2299)))**2.\nAnswer: -2288 - 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 38 times 0.55\nAnswer: 20.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c = -3*g - 516, -3*g + 504 = -2*c. Round c to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 690 - 880. Put x, 5, -2 in descending order.\nAnswer: 5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + o + 0*o + 63*o + 2*o + 4*o as n*o + f and give n.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fcfcff.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 74845 = 74849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 90*y + 3495. What is the hundreds digit of s(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 14*x**2 - 560. Calculate g(16).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6474.52*1\nAnswer: -6474.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-28) + 0\/(2 + 0). Let m = -47 - -47.2. Which is the closest to w? (a) -0.02 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1657, -13402, -45293, -107404, -209809?\n\"Answer: -1679*z**3 + z**2 + 5*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-8)*(s**(-1\/3))**9)**(-14\/3) assuming s is positive.\nAnswer: s**(154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96736?\nAnswer: 2, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*w = -9 - 4, -9 = -h - 4*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26756, -27147, -28202, -30251, -33624?\n\"Answer: -55*z**3 - 2*z**2 - 26699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4492828 divided by 1.\nAnswer: 4492828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 - -60 - -41 - (3 + (-1 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/27 + (-5)\/(-45). Let g = 17 + i. Let c = g - 18. Solve 2*w + 0*w = a + c, 3*w + 6 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) + (sqrt(125) - (sqrt(125) + -1)))*5 + -1 - (-3 + sqrt(125)*-2 - (-1*sqrt(125) + -4 + sqrt(125))))**2 + -4 + 2)*6.\nAnswer: 1260*sqrt(5) + 36792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 17*t. Let y(b) = -9*b + 2. Give h(y(p)).\nAnswer: -153*p + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/(-6)*((-80)\/12)\/5. Let z(u) = u - 6. Give z(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1. Let a(b) = -2*b - 9. Let p(v) = -a(v) + 6*j(v). Calculate p(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*m + 773 - 7917 = 5186. Calculate the remainder when 3579 is divided by m.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6192, -7255, -8318, -9381?\nAnswer: -10444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = f - 2. Let x be 6\/f + (-18)\/42. Is 4 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -404888323 + -0.4\nAnswer: -404888323.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Let u(c) = -c**2 - c - 1. Let v be u(h). Let z = 211\/11 - 19. Is z < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzrzzcrrruczr. Give prob of picking 1 r and 3 z.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4084.5526, -0.5, 0 in increasing order.\nAnswer: -0.5, 0, 4084.5526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-80))\/((-6)\/195)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - ((7 - 9) + 9)) + 25 + 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3343537 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 10*c - 1. Let x be ((-9)\/c)\/(-3)*(-104)\/(-12). Let f = -368 - -654. Calculate the highest common divisor of f and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-22 + 12 + 8 - (11 - -7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2212 + 2211. Let w be 63\/(-15)*(-2)\/162. Let u = -4\/27 - w. Which is the biggest value? (a) u (b) 0.4 (c) 1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {j: 1, y: 2, f: 6, p: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 109319856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 1. Let x be m(-1). Suppose -4*y = 8, v - x = -3*y - 7. Suppose v*k = -k + 4. Put 3, k, -4 in decreasing order.\nAnswer: k, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10520, -10968, -12184, -14552, -18456, -24280, -32408, -43224?\n\"Answer: -64*s**3 - 10456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (84\/154)\/(-4*5\/185) and -45\/22244?\nAnswer: 244684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m + 56. Suppose 3514 = -224*g - 278*g. What is s(g)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/2)\/(0 + -2). Suppose -j*h = 3*u + 15, u - 6*h - 20 = -2*h. Suppose u*o + 0 + 2\/3*o**2 = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 145, 292, 439, 586?\n\"Answer: 147*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4086, 7942, 11570, 14970, 18142?\n\"Answer: -114*v**2 + 4198*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*h - 12*h + 13*h - 16*h + 432 in the form j*h + p and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 640303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 2:42 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5453150 (base 6) in base 15?\nAnswer: 55703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:48 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/(-36) - (-2)\/(-4). Let i = -3 - -7. Suppose q - 1 + 0 = 0. Which is the closest to q? (a) i (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -3. Let u = -9.4 + n. Suppose 3*d = -3*v - 0 - 6, -4*v - 6 = 5*d. What is the smallest value in u, 2\/13, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 2, a: 2, x: 1, k: 1}. Give prob of sequence uk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149710867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -39. Suppose 1515 = t*r + 5*m, -8*r + 4*r + 3*m = -1177. Let p(z) = r*z - 1 - 1 - 2*z**2 - 294*z. Calculate p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2854108.\nAnswer: 2, 31, 23017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.776 + -33.236. Sort 5, x, -9 in increasing order.\nAnswer: -9, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -3, 0, 5.\nAnswer: -6, -3, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -9606232.7 to the nearest 10000.\nAnswer: -9610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -471\/601?\nAnswer: -471\/601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 343.11 + -309.1. Let g = w + -34. Round g to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(3 + -4) + 1\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904 = 11*f - 82*f - 42*f. Solve -i = -a - 1, -3*i - 1 = 4*a - f*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-2)\/(-3))*-138. Suppose 3*c = -4*w - 3 + 40, -4*c = 2*w - i. Let y = -6 + c. Solve 0 = -4*k + y*h - 9, -5*h + 37 = -k + 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 610061?\nAnswer: 610049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.052? (a) 3 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f + b = -14, -3*b = -2*f. Let s be 7 + (-9)\/(0 - f). Factor 5*w**3 - s*w**3 + 9*w**4 - 10*w**4.\nAnswer: -w**3*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/45 in 0.1, 2\/13, -3\/4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 3) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 9:39 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 2*j. Let p(f) = f - 3. Let x be p(5). Let c be k(x). Let i be (106 - 3)\/1 - c. What is the highest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - (-28)\/(-84). Factor a*b**2 + 2\/9*b**3 + 0 - 2\/9*b.\nAnswer: 2*b*(b - 1)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*n + 6608 = 0, n + 542 = -3*j - 9349. Let s = -1719 - j. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8240, 16843, 25822, 35177, 44908?\n\"Answer: 188*c**2 + 8039*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqrbqkrrgrgkgkgrrn. Give prob of picking 1 b, 1 q, 1 n, and 1 r.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -9, 5*q - 34 = s + 2*s. Suppose -q*l - 2 = j + 3, -4*l - 8 = 0. Sort -5, j, -27 in descending order.\nAnswer: j, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4486 + -4551.2. Which is bigger: z or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507678710 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, 3, -9, 8 in ascending order.\nAnswer: -9, 0.29, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40766 + 2?\nAnswer: -40764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0252 + 0.026556. Round x to five decimal places.\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/14 and -83\/4413152?\nAnswer: 30892064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-69)\/21 - -1*(-10)\/(-35). Let c = 0.3 - 0.2. Let h = c - 0.2. What is the nearest to h in -2, -4, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -1)*(-6)\/9. Let c(h) be the second derivative of h**5\/10 - h**4\/6 + h**3\/2 - h**2 - 10*h - 1. Determine c(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-5)\/(30\/207). Let j = -75 - h. Let r be (84\/(-147))\/((-4)\/j). What is the nearest to -0.1 in r, -0.1, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 20*z**2 - 2*z + 7. Let t be (-16)\/(96\/45)*-2*8\/6. Calculate i(t).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + j + 715 = 3*a, 5*a = 3*j + 1193. Calculate the common denominator of (a\/(-60) - -4)*-47 and (-4401)\/(-45)*(-3)\/54.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7453 (base 8) in base 11?\nAnswer: -2a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1794 = -d + 1816 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -76*c**2 + 2*c. Let f(q) = 3*q. Calculate d(f(z)).\nAnswer: -684*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -3 - (-18)\/9. Solve 0 = -o - 1, 4*w = -w - t*o - 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1, 4, -111137.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25865 divided by 5173.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1176 and -28\/21111?\nAnswer: 8275512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56506128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4782103, -4782102, -4782103, -4782106, -4782111?\nAnswer: -4782118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w - 60*w + 8*w - 3*w - 3.\nAnswer: -10*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*t + 87*t + 5 = 0. Let z(l) = 2*l - 20. Let q be z(11). What is the biggest value in q, 3\/7, -0.02, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*k - 15, -2*f + 15 = -0*f + k. What is the remainder when (-1)\/(-2) - (-321)\/6 is divided by 22 - (-3 - f*-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75847928 divided by -26\nAnswer: -2917228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, 0, -1\/5, -0.09, -4, 100\/41, 1\/8?\nAnswer: 100\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -983113 or -983112?\nAnswer: -983112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -5*t. Suppose -2*y + 20 = -5*c, -1 + 13 = -4*y - t*c. Solve n + j - 4*j + 6 = 0, -3*n + j + 6 = y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 2. Let b be 210\/231*-22*-8. Calculate the greatest common factor of b and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83942799 to the nearest integer?\nAnswer: 9162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -3*m**5\/5 - 159*m**4\/2 - 3767*m + 551. What is the first derivative of x(f) wrt f?\nAnswer: -12*f**3 - 954*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 5)*(-6 - 1 + 1) + 0 + 0 + 5)*(1 - 4 + 8)*(-5*a - 2*a - 6*a).\nAnswer: 455*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.224*71.\nAnswer: -15.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43452 (base 6) in base 13?\nAnswer: 2972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3761 or -3767?\nAnswer: -3761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 0)\/(-7 + 8 + -2). Let m = -3 + p. Let y = 4 + -9. Put y, m, -4 in decreasing order.\nAnswer: m, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -76. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -98*w**5 + 62244*w**4 + 563902*w**3 - 3166728*w**2 + 3020320*w - 803712 = 0.\nAnswer: -13, 4\/7, 3, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**3\/3 + 69*x**2\/2 + 65*x - 8519. Calculate r(70).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136308 is divided by 142036.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, t: 3}. What is prob of picking 2 t and 2 x?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/6 (b) -1\/3 (c) 35\/8 (d) -1\/81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19975893 a multiple of 1641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2) + 5 + -3. Suppose 0 = -0*k - r*k - 4, 5*p - 2*k = 44. Suppose f + 0*f = p. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*u + 301, -3*u + 4*h = 295 + 4. Is u at least as big as -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = -3*z, z = 3*h + 6*z - 7. Let g = -41 + 65. What is the units digit of (h\/(-12))\/(2\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 792?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 r when four letters picked without replacement from rrrorrrrrorrorrrrror.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4940102 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13663*-119.\nAnswer: 1625897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63, 122, 183, 246, 311, 378, 447?\n\"Answer: z**2 + 56*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18268488 and -0.4?\nAnswer: 18268487.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-5120.\nAnswer: 10240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -4.3. What is the biggest value in m, 0.03, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.662946 rounded to 2 dps?\nAnswer: -6.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*f**3 - 92 + 32*f**2 - 86 + 176 - 43*f**3 to the form g*f**3 + c*f + w*f**2 + j and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let i = 0.0174 + 21.8826. Let s = i - 21.5. What is the nearest to 1 in 3\/8, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.378.\nAnswer: 1.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(108)\/sqrt(9)) - sqrt(110)\/(sqrt(120)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 67 = 77. Let y(r) = -2*r**3 - 3*r**b - 25*r - 2*r**2 + 31*r + r**2 + 4. Let j(z) = -3*z**3 - 7*z**2 + 11*z + 7. Calculate -4*j(n) + 7*y(n).\nAnswer: -2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 3*k - 3. Let c be ((-1)\/2)\/(2\/(-12)). Is j(c) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8976352 a multiple of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 24 + -3 - (6 + -48).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.614 - 5387744\nAnswer: -5387744.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1463, -57, -3, 2, -5, 3 in increasing order.\nAnswer: -1463, -57, -5, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s + 15 = 0. Let p = -0.454 - 0.046. Sort p, 3\/2, s in ascending order.\nAnswer: p, 3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/8)\/((-9)\/288). Suppose 8*f - x = 4*f. Let u = 51 - 45. Calculate the greatest common divisor of u and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*k + 21*k**3 + 7*k**3 + 17*k**3 + 6*k**3 wrt k.\nAnswer: 306*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 + 2 = 0. Let j(m) = 36*m**3 + m**2 + 2*m - 1. Is j(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 22 = 5*g - 11, -3*g + 17 = v. Determine h so that 0*h + 0 + 2*h**3 + 4\/3*h**v + 2\/3*h**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 3, b: 1, u: 2, j: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3708 and 3683214?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -69. Let v = 19 - q. Which is the second smallest value? (a) v (b) 1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-114)\/(-15) - (-12)\/(-20). Let z(n) be the first derivative of n**3\/3 - 3*n**2\/2 - 9*n - 1. Is 14 a factor of z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 - 3*r**2 + 3. Let a(o) = o**3 - o**2 + 1. Let s = 334 - 316. Suppose -330*k + 333*k = -s. What is k*a(w) + 2*t(w)?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22753952 by -1422122.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*(-11)\/(99\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*4*3\/24. Let h(o) = 7*o**2 - 4*o - 1. Let s(j) = -15*j**2 + 9*j + 2. Let x(y) = 13*h(y) + 6*s(y). Let n be x(k). Solve n = 2*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 0*y**2 - 10*y + 0*y**2 - 2*y**2 + y**2 - 3. What are the prime factors of p(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1330\/(-50) - -27) + 48\/5. Solve -4*z = -6*z - m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 267*d. Let l(q) = -q. Give k(l(t)).\nAnswer: t**2 - 267*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, 3, -4, 259 in decreasing order.\nAnswer: 259, 3, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.10607.\nAnswer: 0.21214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1074 - 750. Suppose 11*v - 6*v = u + 807, -2*v = -u - m. Calculate the highest common divisor of v and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.3076 - -2757398\nAnswer: 2757372.6924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130 - -10?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183162?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, x: 3, w: 2, j: 4, r: 3}. What is prob of picking 1 w and 1 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let f(o) = -o - 3. Let p be f(-5). Suppose 0 = -j - 3*w - 1 - 1, 4 = 2*j - p*w. Let t(x) = 5*x - 2. Determine j*t(q) - 4*z(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001007372629 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) + 77\/45. Let s be (0 + (-3)\/3)\/((-4)\/16). Let j be (-2)\/4 + (4\/s)\/2. Which is bigger: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(0 + 2 - 3)*(-p + 0*p - p)*(-3 + 6 + 2).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 5*y - y + (2*y + 5 - 5)*(3 - 2 - 3))*(-2*y + 3 - y + 0*y).\nAnswer: 15*y**2 - 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22627, 22633, 22643, 22657, 22675?\nAnswer: 22697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 + 12*n**2 - 32*n**2 + 4*n**2 - 4*n**3.\nAnswer: -4*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37123 or 214?\nAnswer: -37123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4*(-2)\/(-4))\/((-384)\/(-576)). Solve -5*i + 0*r + 15 = 5*r, -4*r = -m*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/4)*l)**(-9\/5)*(l**0\/l)**(-25) assuming l is positive.\nAnswer: l**(419\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/30 - 12*y**2. Let t(w) = -9*w. What is t(b(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 478 - 50 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*o**4 + 23 + 3*o**2 + 15*o**4 - 85*o**4 + 15*o**4 to the form r*o**2 + v*o**4 + d*o + s*o**3 + z and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = -11. Let a = z + 6. Let d be 0\/(-4)*a\/2. Solve d*l = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*t - 5, 3*t = -2*u - 0*u + 18. Let z be 1550\/u*(6 - -6). What is z rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 10*j - 3. Let m be w(-13). Suppose -11*a = -1063 + m. Let b = a + 34. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:33 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756 and 9072?\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, -13 in descending order.\nAnswer: 12, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:30 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*g - 8 = 0, -2*v + 4603*g - 9195*g = -4593*g - 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 168, 327, 486, 645, 804?\n\"Answer: 159*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 9 = s + 4*t, 0 = -4*t - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572695995 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 1543*f**9\/504 + f**7\/105 + 158*f**5\/15 + f**4\/24 + 5*f**2 + 201*f. What is the third derivative of h(m) wrt m?\nAnswer: 185160*m**3 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 469771492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 19*d**3\/2 + 25*d**2\/2 - 42*d - 2. Let q(t) = -113*t - 48. Let u(x) = 4*q(x) + 9*y(x). Differentiate u(s) with respect to s.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 3*((-13)\/26)\/((-3)\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-104)\/39 - (-3)\/(-9). Let n(s) = s + 2 + 3*s**2 - 3*s - 4*s**2. What is n(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from {b: 2, a: 1, l: 1, m: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466532 + 239720 = 87*n + 112912. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17182 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 35 = -2*m, 0 = 5*i + 2*m - 1061. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 573 + -555 - (32 + 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136346093 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - w = 3, -103*w = -4*r - 107*w - 1 - 11 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + b - 14 = t, 5*b = 4*t + 212 - 143 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r**(1\/4)*r))\/r*r)**22*((r**(-4)\/r)\/r*r)\/r*r**(-5) assuming r is positive.\nAnswer: r**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 0 - (363 - 538) - (-10 + 9)\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.2 - 28. Which is the nearest to 0.2? (a) 2 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20*((-16)\/(-5))\/(-4). Let k be -1*(0 + 1 + -2) - r. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112 - -151?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6143 = -221*c + 10267 + 6926 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-7 - -5) + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + t - 3. Let h(n) be the second derivative of n**4\/12 - n + 81. Calculate -2*h(g) + p(g).\nAnswer: g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -1\/120*d**6 + 1\/2*d**3 + 0 + 0*d**4 + 2*d**2 + 0*d + 0*d**5. What is the derivative of y(v) wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -24. Suppose 17 - 153 = -68*o. Suppose -2*k = 3*h - 25, -o*k - 7*h + 10*h = 5. Solve -k*b = -4*a + 28, -4*a = -3*b - 1 - t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + ((-16)\/3)\/((-38)\/57).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5544 by -308.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586500366 divided by -220406.\nAnswer: -2661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361 - 124*v + 4 - 121*v + 243*v + 716 - 359.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32021 divided by -11.\nAnswer: 2911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9005487793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 64*j**2 - 11903*j - 196. Let v be c(186). Let p(a) = -9*a + 35. Calculate p(v).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10956798 to the power of 1\/2, to the nearest integer?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38304296.\nAnswer: 2, 4788037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrsytkksrrrkr. What is prob of picking 2 s and 1 k?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1765*n - 2257 = 1704*n for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71\/28 - 1\/28. Which is the second smallest value? (a) -0.07 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + 10 + -8 + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/8 + (-66)\/(-4). Let g be (3\/u)\/((-1)\/2). Which is the third biggest value? (a) 1\/4 (b) 2 (c) -1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 835703608 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a (base 13) to base 7.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 502163603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14)\/(a**13\/a))**20\/(a**6*a**(-2\/3)*a*a\/a**7*a**(-6)) assuming a is positive.\nAnswer: a**(-1543\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7. Let z = t + -0.999882. Round z to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 63*p - 70. Let f be l(5). Let q = -1219\/5 + f. Factor 21\/5*a - q*a**2 - 18\/5.\nAnswer: -3*(a - 2)*(2*a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 15*j - 66*j + 14*j. Let b(c) = 2*c**2. What is b(k(y))?\nAnswer: 2738*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88509175, -177018349, -265527523?\nAnswer: -354036697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1.46\nAnswer: 0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237.4156nm to kilometers.\nAnswer: 0.0000000002374156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u + 4. Suppose 40 = -m + u*m. Suppose -7 = -3*w + m. Solve o = w*q - 14, q + q = 2*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.8852 to one dp.\nAnswer: 31.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -24\/11*n**2 + 0 + 2\/11*n**4 + 0*n**3 + 32\/11*n = 0. Calculate n.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*l**2*z + 2*b**3*l**2 + 4*b**3*l*z**4 + 181*b*l**3 - 54*l**3*z**4 wrt z.\nAnswer: 48*b**3*l*z**2 - 648*l**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.477 + 0.023. Let r = h + -10. Which is the nearest to -1? (a) -3 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/14 - 6\/(-14). Let t(b) = -b + 10. Let x be t(-10). Suppose -h + 5*h = -x. What is the nearest to z in 0.2, h, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + (-24)\/6)*-8 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**5\/20 + 7*z**4\/12 + 5*z**3\/2 + 9*z**2\/2 + 7*z - 1. Let a(x) be the first derivative of u(x). Find o, given that a(o) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f - 25511. Let u(h) = 18*h. Calculate u(g(t)).\nAnswer: -198*t - 459198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/125*(-12 - -7)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521146 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1052413524 (base 6) to base 2\nAnswer: -101100010000111111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66771442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 59*s**2 - 539*s + 236. Give o(67).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*b**5 - 166*b**2 + 2*b + 14871 wrt b.\nAnswer: 780*b**3 - 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20607, -41179, -61657, -81993, -102139?\nAnswer: -122047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17437.\nAnswer: 7, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*j + 123 + 27, -v = -3*j + 147. Let s = 1 + j. Let f = s + 41. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1192814 - 634916 + 594748 = -243*m. Calculate the remainder when m is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*z + 11, 3*c + 1773 - 1766 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 - -80. Let p(l) = 3*l**2 - l + 4. Calculate p(k).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0579 and -158.\nAnswer: -157.9421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729261.\nAnswer: 1729261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -660 divided by 165\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3 - 392*h**2 + 17544*h + 166464 = 0.\nAnswer: -8, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.88? (a) 5655\/8 (b) -3 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 + 4. Let f(z) = -z**2 + 1. Determine -2*f(o) + m(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -274.2 - -274. What is the second biggest value in -4, -61, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, f: 2}. Give prob of sequence yf.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7490*u + 486757. What is w(-65)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.427705 to three decimal places.\nAnswer: -1.428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 divided by -47.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9b3d (base 15) to base 5\nAnswer: 2023113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) 2 (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1307690 + 1\/((-5)\/25))*6\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6) + 12\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.29 - -42.7. Let d = p + -4.410000814. Round d to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1152 by -2.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 113, -193, -1, 30, -1\/4?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {x: 7, u: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10951, 10997, 11055, 11131, 11231, 11361, 11527?\nAnswer: 11735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/30*(-10)\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 6*x - 2. Let b(c) = 1 + 0*c**2 - 6 + c + c**2. Let n be b(0). Is a(n) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -15 + 4 - (72 - 84).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -9669, 4, -5 in ascending order.\nAnswer: -9669, -34, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -11) + 2 + (-7 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*(v\/(v\/(v\/v**(-1))*v))\/v)))\/v*v**(1\/9))\/((v*v*v\/(v**(-1\/4)\/v))\/v*v*v*v*v**(-6)) assuming v is positive.\nAnswer: v**(-5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 154\/(-1848) + (-16226)\/(-312) + 1\/13. Solve w - 46 = -b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 16*x - 1570 = 0. What are the prime factors of x?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-20))\/(3\/2). Let r = -5.6 + 2.6. What is the smallest value in 4, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4319 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214020621.\nAnswer: 3, 31, 643, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/2)\/(2\/(-8)*6). What is the closest to 0 in 2, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3717*f + 85. Let v(w) = 929*w + 21. Let s(g) = 2*m(g) - 9*v(g). Let n be s(5). List the prime factors of n\/(-34) - 4\/(-34).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(7) + -2 + sqrt(7) + 5 - -3*(-3 + sqrt(343))) + -3.\nAnswer: -11 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38341082220149 and -0.4.\nAnswer: -38341082220149.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2 + 12*b - 9. Let m be z(-9). Suppose -2*w + 462 = m. Solve -4*n - 2*s + w = -4, -2*s = -2*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 42108378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55088511.\nAnswer: 3, 83, 221239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1612362 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12540, -5, -2, 5 in increasing order.\nAnswer: -5, -2, 5, 12540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -27*w**2 + 10*w + 25. Determine p(-2).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53495 and 1755?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 - (-6 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -16*a + 3. Let f(p) = 550*p + 29061 - 29082 - 439*p. Calculate -4*f(z) - 27*l(z).\nAnswer: -12*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-323060)\/232*(-86)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(1 + 2*r**4 - 1) + 24*r**4 - 33*r**4 - 35*r**4.\nAnswer: -40*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**4 - c**4 + c**3 + 10 - 15 to the form t*c**3 + x + l*c**4 + o*c**2 + y*c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) -23 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6021329*m + 3254489?\nAnswer: -6021329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*k**2 + 48 - 2 - 47.\nAnswer: -207*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*-5*(sqrt(192) + 0 + sqrt(192)).\nAnswer: -5 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 590 - 589.8. Put 8, d, -0.009 in decreasing order.\nAnswer: 8, d, -0.009","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xvvvggqvxvxvvvxvvvqv?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4654 divided by 179.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*p**4 - 88*p**2 + 88*p**2 + (-p - p**4 + p)*(1 + 2 - 2) + 0*p**4 + 2*p**4 - 4*p**4 + (-p - 6 + 6)*(2*p**3 + 4*p**3 - 4*p**3).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - 70. Let i(q) = -q**2 + 5*q. Let x = -4 - -7. Let z be i(x). Calculate the highest common divisor of z and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*v + 222 - 396 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + (-10 + 3 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/459 (b) 30\/103 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g - 5. Let f(n) = 7*n + 4. Let j(x) = -5*f(x) - 6*s(x). Is j(8) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-984)\/4428*4\/24\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 + 2*i + 1. Let y be z(-1). Factor y*n + 2 - n + 0*n + 12*n**2 + 2*n**4 + 4*n + 8*n**3.\nAnswer: 2*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/8*-15*(-296)\/(-1998)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 1 + 1 - 2 + 4. Let o be r(0). What is the common denominator of 1\/14 and (((-2114)\/o)\/(-7))\/(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17674 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 + 26 = -3*b. Suppose -4*t + 58 = -b. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 297 - 87. Calculate the greatest common divisor of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0545 less than -2?\nAnswer: -1.9455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 = 5*y - 1091. Suppose -4*v + 2404 = 4*g, 0*v - 3*v + 1205 = 2*g. Let c = g - y. Is c 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 rjpcb. Give prob of picking 1 p, 1 c, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4)*(-1 - 1). Suppose 0 = -t + 4*t - 9. What is the first derivative of -3 - n - 3*b + 5*b**2 + t*b wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 666 = 4*m - j + 2*j, -5*m - 4*j + 838 = 0. Let o(c) = -26*c**2 - 22*c**3 - c + 21*c**3 + 33*c**2 - 3. Calculate the remainder when m is divided by o(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25519063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/70)\/(6*43\/(6622\/33))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*z = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.96 - -0.06. Let p be (6\/(-7))\/(60\/(-42)). Which is the biggest value? (a) p (b) 2\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 11:56 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 50, 39, 30, 23, 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(234))\/sqrt(2).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 - 2*d + 2*d + (-4 - d**3 + 4)*(-2 - d + 2) + (7*d + 8 - 8)*(-2 + 2 + 2*d**3) + (-5*d + d + 3*d)*(-9*d**3 - 3*d**3 + 10*d**3).\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a centimeter?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 12 = 4*n, 13*o - 16*o + n - 3 = 0. Suppose 5 + 1 = 2*w. Sort o, -3, w.\nAnswer: -3, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1.8. Let s = -51 - -51. Let m = -3275\/7 - -468. Put m, s, q, 0.5 in increasing order.\nAnswer: s, m, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -133? (a) -4\/5 (b) 1 (c) -0.09 (d) 5 (e) 1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 36*z**2 - 74*z + 98. Does 22 divide y(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/61)*v**2*(v*v\/(v\/v**(-6))*v)**(22\/9) assuming v is positive.\nAnswer: v**(-4288\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/647 + -1315\/4529. Which is the third biggest value? (a) t (b) -60 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 15670*r**3 + 45794172*r**2 - 59109408712*r + 28401129766064.\nAnswer: 2*(r - 2102)**3*(r - 1529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 3\/80*q**6 - 9*q**2 + 1\/32*q**8 + 0 + 0*q**4 + 0*q - 1\/20*q**5 + 3\/35*q**7 + 0*q**3. Factor k(f).\nAnswer: 3*f**2*(f + 1)**2*(7*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 323482*n**3 + 619981.\nAnswer: 970446*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i. Suppose -4 = j - 7. Suppose -20 = -4*y + 2*k, -j*y + 2*k + 12 = -y. Let r = y - 3. Calculate t(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 minus 455818564151?\nAnswer: -455818564151.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(44) + ((sqrt(704) - sqrt(44))**2 - sqrt(44)).\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-13 + 6 + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 60. Calculate j(8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**6 - r**2 - 1. Let u(p) = 25*p**6 + 24*p**2 + 3. Let v(q) = -3*n(q) - u(q). What is the third derivative of v(c) wrt c?\nAnswer: -2640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -25. Suppose 0 = 10*t - 9*t + s. Let z(g) = g**3 + 11*g**2 - 11*g + 12. Let q be z(-12). Put 1, t, q in increasing order.\nAnswer: t, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**5)\/(c\/c**(-4\/3)))\/((c**(-1\/4)\/c)\/c*c\/(c**(-1\/2)\/c*c)*c*c))**(-40))**2 assuming c is positive.\nAnswer: c**(-580\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3757791 microseconds to seconds.\nAnswer: 0.0000003757791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6253295*n. Let r(m) = 4114*m. What is -4*d(b) + 6081*r(b)?\nAnswer: 4054*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ac0a85 + c?\nAnswer: ac0a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21114 + -1?\nAnswer: -21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -15833 in descending order.\nAnswer: 2, -5, -15833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 6*s**2 - 5*s + 1. Let u be n(7). Let b = -2 + 2. Suppose b - 15 = -5*f. Solve -f*w - u = -0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -1\/126*c**7 + 0*c**3 + c + 0 + 0*c**2 + 0*c**6 + 0*c**4 + 1\/60*c**5. Suppose k(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9 + 7*n**2 - 5 - 1. Let v(r) = 6*r**2 + 2. Calculate 2*d(k) - 3*v(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 298518951 or 298518950?\nAnswer: 298518951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/3 + 19*n**3\/3 + 14*n**2 - 33*n = 0?\nAnswer: -3, 0, 3\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 306950701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in -27, -0.078, 0.2, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -197 and 12000.\nAnswer: 11803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**6\/12 + b**5\/8 + 31*b. Factor o(s).\nAnswer: -5*s**3*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-137)\/(4658\/(-68)))\/(-3*2\/(-15)). Suppose q + q + 10 = 0. Let v be 0 + q\/((-5)\/2). Solve -v = a*t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) 0.5 (c) 18207 (d) 46\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1110 - 1110.1. Let d = 198\/2275 + -29699\/29575. Let a = d + -1\/169. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -35. What is the closest to -2\/5 in -1\/3, o, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.3 + -32.7. Let n = 75 + -112. Let h = d - n. Which is the nearest to 1\/4? (a) 2\/5 (b) h (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*w = 305*w + 38*w - 7168 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2143 divided by -33.\nAnswer: -2143\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78965\/16146 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*h - 8. Let q = h + -4. Find j, given that -j**2 - 1 - 3 + 4*j + q*j**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.126 - -16.726. Which is the closest to 0? (a) m (b) 5 (c) -21 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -14*d**2 - 5789*d - 31427. What is m(-408)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o. Suppose o = -3*k + k + r + 30, 0 = k - 3*r - 25. Solve 0 = 3*v - 3*f + 6, k - 1 = -3*v - 3*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1783501, 1783495, 1783489?\n\"Answer: -6*m + 1783507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/943920 and -29\/78660?\nAnswer: 943920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 7*t - 10. Let q be x(9). Let c(z) = -8 + q + 2*z. Let h(n) = -n - 1. Let w(p) = -52*p - 78. Let y(d) = -78*h(d) + w(d). Determine c(y(f)).\nAnswer: 52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -0.097.\nAnswer: 0.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55531782?\nAnswer: 2, 3, 281, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 12 - 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2) - -1 - 15\/50\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 131 = -3*m, -89 = -19*m + 17*m - k. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*d + 8\/11*d**2 - 6\/11*d**3 - 4\/11.\nAnswer: -2*(d - 1)**2*(3*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**2*o*q**2 - m**2*o - m**2*q**3 + 5*m**2*q**2 + 2*m*o*q**3 - 4*q**3 wrt q.\nAnswer: -6*m**2 + 12*m*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.97 - -19.97. Which is the smallest value? (a) 2\/3 (b) s (c) 87 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2716 divided by -28\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -15. Which is the third smallest value? (a) q (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -139.3 * -0.2.\nAnswer: 27.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/39352 and -33\/16?\nAnswer: 78704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0. Let r = -0.2 - p. Let c = -2 - -7. Sort r, c, -3\/4 in descending order.\nAnswer: c, r, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-632)\/(-1)*-4 + (-4 - 0). Let f = j - -466. Let x = f - -3279. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 197 = 2*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0769, 0, -2\/5.\nAnswer: -2\/5, -0.0769, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (235\/(-20) + 8 - 4\/16)\/(124\/(-2542))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**4 - 59*m**4 - m**2 - 12 - 69*m**4 - 56*m**4 + 121*m**4 to t*m + w*m**2 + h*m**3 + u*m**4 + z and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 5. Let y = 6 - s. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from nnmrznnvnne.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71470 + -114?\nAnswer: 71354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 2560?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -536? (a) 1\/22 (b) -0.2 (c) 2 (d) -1.9 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-187 + 60 - 38) + 142?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -275*y**5 - 241*y**2.\nAnswer: -16500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 94463492*0.3\nAnswer: 28339047.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011100000 (base 2) in base 5?\nAnswer: -14443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/((sqrt(21) - -2*sqrt(21))\/sqrt(7)))\/(sqrt(50)\/(sqrt(30)\/sqrt(3)*2)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -122, -2, 178, -3, 3 in decreasing order.\nAnswer: 178, 12, 3, -2, -3, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17 (b) 3 (c) 5 (d) 1\/6 (e) -5047 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - 4*t**5 + 4*t**5 + (-4*t + 2*t + t)*(t**4 - 4*t**4 + 43*t**4).\nAnswer: -42*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, -8, -5, 2 in decreasing order.\nAnswer: 2, 0.1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r\/r**(2\/17))\/r*r*r*r*((r\/((r\/r**0)\/r)*r)\/r)\/r*r*r*(r*r**(11\/3))\/r**23 assuming r is positive.\nAnswer: r**(-635\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (208 + -228 - (2 + -17)) + -35\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(5\/11))**(7\/2)*n**6*n*n\/(n*n**(-14)\/n) assuming n is positive.\nAnswer: n**(263\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 65, 99, 133, 167, 201?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7628 + 7793 = 1126*s + 3035 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 15 - 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -2, 21318, 229 in decreasing order.\nAnswer: 21318, 229, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 36*7\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -6. Put g, -2, 0.5 in decreasing order.\nAnswer: g, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(-4 + sqrt(2057) + 3 + -4).\nAnswer: -132*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(-12 - -27) - 358\/1065 and 29\/426?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -17*t + 15*t. Let j be t\/4*-19*(-30)\/(-5). Suppose s + j = 134. List the prime factors of s.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*z**4 + 5*z**3 + 182158*z**2 + 67470167 wrt z.\nAnswer: -16*z**3 + 15*z**2 + 364316*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -32. Suppose -14 = -j - 3*u, -3*j + 4*u = -u + 14. Suppose q + w = j*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 4400000. Suppose f + 8 = -4. Let q be (-2)\/11 + f\/(-66). Let o be h(q). Round o to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven eighths of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = z - 2*d - 9, 5*d + 5 = 0. Let r be z\/(0 - (1 + -2)). Find y such that 7*y**2 - y**4 - y**r - 1 - 3*y**2 - y + 2*y**3 + y**2 - 3*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823173295 to the nearest integer?\nAnswer: 28691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187262, 187240, 187218, 187196, 187174?\nAnswer: 187152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/k*k)**(-38))**(-21)*((k*k*k\/k**(-2)*k)\/(k**(-3)\/k))\/(k**(1\/2)\/k*k\/k**(1\/7)) assuming k is positive.\nAnswer: k**(22479\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**34))\/(l\/l**(-2\/49))*l**33\/l**(2\/39))**8 assuming l is positive.\nAnswer: l**(1007600\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 - 4120108*f\/11 + 2121911241458\/11.\nAnswer: 2*(f - 1030027)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158959170.22 - -0.21.\nAnswer: 158959170.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10237 and 4553.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 298. Let i be z(21). What is the greatest common factor of i and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-150)\/9)*(-1428)\/153*5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 489 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.312833.\nAnswer: 0.938499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4 - 2. Calculate the greatest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(2\/3)*f)*f*(f**(1\/2)*f)\/f*f)**48 assuming f is positive.\nAnswer: f**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324*k - 2 = l + 1326*k, -k = -7*l - 89 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1\/2, -0.05, -0.4, -3, -3\/14, -276?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7.2589 times 3929\nAnswer: -28520.2181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6365041 to the power of 1\/2, to the nearest integer?\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1578 by -263.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.87 + 0.13. Let x = k + -16. Let j = x + 15. Which is the nearest to 0? (a) -2 (b) j (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45320\/11340 - (-8)\/(-2). Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = -8. Let b be 3 + (-15)\/(-5 - p). Suppose 0 = 2*k - 4*k + b. Calculate the greatest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2001*g**4*j - 3*g**4*x**2 + 11*g**2*j*x**2 + 6*g**2*x - 49*j*x**2 wrt g.\nAnswer: 48024*g*j - 72*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.4, 233.5, -247\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*u**6 - 812944*u**5 - 834179*u**2 - 204 wrt u.\nAnswer: 9240*u**3 - 48776640*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -46, 3\/8, 7653?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/105)\/((-293)\/291 - -1). Let g = r - 1732\/63. Factor g*a**2 + 4\/9 + 2\/3*a.\nAnswer: 2*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 = -7. Suppose 4 - a = h. Solve 3*y - y + h*r = 20, 2*y = 4*r - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2042378 to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*(b**(-1\/4)*b)\/b)\/b)\/(b*b*b\/b**(-28\/3)) assuming b is positive.\nAnswer: b**(-139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1 - (-30)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 74.19785 decades?\nAnswer: 0.7419785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 8*j - 4 + 0. Let k(a) = a - 1. Let s = 14140 - 14164. Let b(y) = s*k(y) + 3*q(y). Determine b(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 185627.\nAnswer: -4\/185627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*r - 4 = 0, 4*s - 280*r = -138*r - 141*r + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 774 + -771. Let f(w) be the second derivative of 0*w**s + 0 - 11\/2*w**2 - 8*w - 2\/3*w**4. Differentiate f(u) with respect to u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 48*f - 362. Determine i(-38).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -2 (c) 369\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 585 + 1514. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15975982 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose -2*v + 6 = 3*b - 17, 4*b = -q*v + 34. Calculate the lowest common multiple of 82\/7 + (-4)\/(-14) and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 58 + 4 - -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6934 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -57. Calculate the remainder when 39 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 8 - 6*s - 4 - 2 as z*s + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12715*y = 12682*y - 132 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4332*p**3 + 5812*p**2 wrt p?\nAnswer: 25992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 53 = 253. Calculate the remainder when b is divided by (-17)\/(-1) + -1 + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*u**3 - 183*u**3 + 327*u**3 - 2.\nAnswer: 331*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.15 (c) -11707\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1415340 and 7155.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(88) - sqrt(88) - sqrt(88)) + sqrt(88))*1 + sqrt(88))\/(sqrt(40)\/(sqrt(35)\/sqrt(7))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = y - 16, 1 = 5*y + 21. Let g be ((-6)\/k)\/(12\/(-16)). Suppose -126 = -4*c - g*v, -c - 5*v = -4*c + 114. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*a - 0*g, 5*a = g + 18. Suppose 2*m + 4*w + 18012 = 0, -a*w - 15 = w. Round m to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l + 621 - 86*l**3 + 4*l**2 - 395 + 84*l**3 wrt l?\nAnswer: -6*l**2 + 8*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 209 = 191. Suppose -105 = -6*r + r. Calculate the remainder when z is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281 + 474. Let s = -14 - i. Let r = s - -350. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124647 - -124646.813087. Let g = r - -0.187. What is g rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14636, 83, 40 in decreasing order.\nAnswer: 83, 40, -14636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 13*y - 138. Give w(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -919003297855 + 2.\nAnswer: -919003297853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**2 + 9*h - 17. Let n(l) = -5*l**2 - 4*l + 8. Let z(m) = 4*f(m) + 9*n(m). Let v be z(3). Let y = 1 - v. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246058 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -17) + (26 - (-1 - -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40281, 161118, 362511, 644460?\n\"Answer: 40278*j**2 + 3*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 17 + 43 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3333, -2\/185, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1965 or -4\/5?\nAnswer: -1965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10698 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78985, 75, -3, 1, 2, -2 in increasing order.\nAnswer: -3, -2, 1, 2, 75, 78985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 - i**3 + i**2)*(0 - 1 + 4) + (-18*i + 136*i + 24*i)*(2*i**2 + 3*i**2 - 6*i**2) to the form f*i + t*i**2 + n*i**3 + q and give n.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9 and 572141508109.\nAnswer: 572141508109.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -164?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/2))\/((r**(-6)*r)\/r))\/((r*r**10)\/(r\/((r*r\/(r\/((r\/(r*r**(-2\/11)\/r))\/r*r)))\/r))) assuming r is positive.\nAnswer: r**(-103\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 + g**2 - 27*g - 33*g - g**2 + g**3.\nAnswer: g**3 - 60*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13e345a + -4?\nAnswer: 13e3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9*c)\/(c\/c**(-11)) assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**2 - 12*w - 20. Let n(f) = -f**2 + f. Let u(r) = 2*m(r) + 12*n(r). Determine j so that u(j) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2 - 128*q + 272 = 0. Calculate q.\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210\/(-45)*(-6)\/4 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oottoaoattatatta. What is prob of picking 2 t and 1 o?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-12) - 1\/(-2). Suppose 0 = -i - 4*q - 8, -4*i - 4*q + 24 + m = 0. Is (-4)\/((-3)\/i*1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000083473326 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 4}. What is prob of sequence dpdp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00070828022 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -19*b**3 - 7*b**2 - 23*b + 9. Let j(r) = -10*r**3 - 4*r**2 - 11*r + 5. Give 11*j(q) - 6*s(q).\nAnswer: 4*q**3 - 2*q**2 + 17*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2. Suppose -3*c + 819 = -3*h, 3*h + 293 = c - 2*h. Let g(t) = -c + 268 + 4*t. Give u(g(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406946.\nAnswer: 2, 17, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -13071611 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2546 is divided by 184?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/48? (a) -0.5 (b) 0.1 (c) 3\/76 (d) 5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = 3*g, 4*g + 4*f + 3 = 15. Suppose g*u - 3 = u. Which is greater: 1\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = 5*p - 18, -2*x - 12 = -4*p. Let u(h) = 2*h + 17. Let q be u(-8). Solve -x*n - q = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 2:53 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93863512 divided by 1307?\nAnswer: 71816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 r, and 1 k when three letters picked without replacement from rttky.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i = 54*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 115*n**2 + 2*n + 2. Let r(o) = -o**3 - 114*o**2 - 3*o - 3. Give -4*h(z) - 3*r(z).\nAnswer: -z**3 - 118*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-10)*(-40)\/16. Solve -4*u + 12 = -2*z - c, -3*z = 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 9*c**2 - 11*c - 5. Let k = -42 - -45. Suppose 5*r + k*a = -44 - 2, 4*r = -2*a - 36. Determine s(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -11 - (3 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3\/7 - 77163*i**2\/7 - 154314*i\/7 = 0. Calculate i.\nAnswer: -25719, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(152) - (sqrt(152)*2 - sqrt(152))) + sqrt(152)) + sqrt(152))\/(4*(sqrt(8) + sqrt(32)) + sqrt(8)).\nAnswer: -2*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -2*g. Let q = g + 2. Calculate the common denominator of -25\/3 and -1 + 85\/q - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2832 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -48, -2\/9, -2\/3, 1.3, 9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1109, 0.5, 4\/9 in decreasing order.\nAnswer: 1109, 0.5, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1221 = -5*b, 4 = -b + 2*v + 244. Suppose -2146 = -4*o - b. Suppose -2*h + 7*h = o. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*j - 41, -j + 3*j + 2 = 2*a. Let u be 18 + (-4)\/8*0. Suppose 6 = -4*l + 3*f - u, l = -5*f - 6. Is l at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26\/11 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 2*h + 3. Let i be m(2). Let x be -2 - 1*6\/i. Which is the third biggest value? (a) -5 (b) -1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*x - 531, 35*h = 38*h + x - 802. Solve 36 = h*v - 261*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 656264128 + 3.26\nAnswer: 656264131.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h + 23 - 47 + 22*h - 169 as j*h + t and give t.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/47)*w)\/(w*w**19)*(w**(-21))**(-15\/4))**6 assuming w is positive.\nAnswer: w**(33723\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5351156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 2, 0.3 in ascending order.\nAnswer: 0.05, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 215 + 5?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(2\/37)*s**(-21)*s*s*s**(-1\/21)*s*s*s**40*s)**(2\/121) assuming s is positive.\nAnswer: s**(40246\/94017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*c + 3*c + 61, 0 = 4*w + 4*c - 92. Let h be 0 - ((-2)\/(-2) + -5). Suppose -1 = -h*x + 47. Calculate the remainder when w is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzvzmvzzz. What is prob of picking 1 v and 3 z?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2.4, -34341, 20, -1 in increasing order.\nAnswer: -34341, -1, 0.5, 2.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2\/2 + 5223*j\/2 - 7839 = 0?\nAnswer: -5226, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*u**4 + 175*u**3 + 2445*u**2 - 995*u + 100 = 0.\nAnswer: -4, 1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000630636612 rounded to seven decimal places?\nAnswer: 0.0006306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -1\/2 (b) 3\/8 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 6*w**2 + 7*w + 12. Let n be j(-5). Put -5, 2\/5, n in descending order.\nAnswer: n, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.73 + 1.8. Let b = i - 0.02. Let q = -4.75 - b. Round q to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d - 3 = q, -d = -4*q + 10. Calculate the common denominator of (159\/54)\/(q\/3) and -23\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 4*o. Suppose -4*c + 25 = o*g + 91, 3*g - 6 = 0. Let k = 26 + c. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0697720214 - 62068.\nAnswer: -62068.0697720214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxdxcdxjdddxxex. What is prob of sequence dje?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15 + (-18)\/(73656\/(-61932)) and 21\/1333.\nAnswer: 14663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1*5 - ((-4 - -15) + 26 + -65) and 2787?\nAnswer: 30657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2939, 0.02, -0.4, -2\/19 in increasing order.\nAnswer: -2939, -0.4, -2\/19, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, y: 6, p: 1}. Give prob of picking 3 l and 1 y.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 37. Suppose -n*t + 4*u - 14 = -2*t, 2*t + 3*u = 19. Suppose x = t*l - 15 + 114, 0 = -3*x + l + 287. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g - 22. Let v be z(-13). Let b = v + -169. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*a**5 - 70*a**4 - 15*a**3 + 20*a**2 + 5*a = 0. Calculate a.\nAnswer: -1, -1\/4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f**3*n**2 - 172589*f**3 + 2*f*n**2 - 696636*f*n wrt f?\nAnswer: 102*f*n**2 - 1035534*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20727 (base 8) to base 3\nAnswer: 102212212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 41*q = 848669. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -5 - (19 - 14)) + 16\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/11 + 2335488*n\/11 + 681813024768\/11 = 0.\nAnswer: -583872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 1 d when three letters picked without replacement from tdvcvpl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*c**4 - 4360*c**3 - 59*c**2 - 3554*c**3 + 329*c**2 + 9159*c**3.\nAnswer: -5*c**2*(c - 18)*(14*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4751 greater than or equal to -5102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5579 - -5584. Let q be (75\/6)\/((-2)\/(-4)). Suppose -2*j + q = -j. What is the greatest common factor of j and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122798, -245605, -368412, -491219?\nAnswer: -614026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 12*d - 52. Suppose -8*g = 266 - 90. What is the units digit of f(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 3*c + 3. Let o = 3 + 0. Let d be q(o). Suppose 7*u + 48 = 9*u. Calculate the highest common factor of d and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.25\nAnswer: -1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1) + (-15)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3421988b - -3?\nAnswer: -34219888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 2*n + 75. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 801305, 1602606, 2403893, 3205160, 4006401, 4807610, 5608781, 6409908?\nAnswer: 7210985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14252709 or 14252732?\nAnswer: 14252709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.07, 19\/7, -1, 1\/7, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-8)\/54)\/((-2167)\/33 + 17) and 1\/219.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 589365, 589419, 589507, 589629, 589785?\n\"Answer: 17*a**2 + 3*a + 589345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 77297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-69)\/(1*(-5 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-32 - -43) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 2*i**2 - 2*i. Let q be c(3). Suppose 0 = 4*f - 2*p, -5*f + 2*p = -q*p - 10. What is the lowest common multiple of (-4)\/(-6) + f\/(-6) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32318456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.19 + 0.1. Let r = -2.91 + q. Let y be 99\/(-90) + (-4)\/10. Which is the closest to -2\/9? (a) y (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*n + 5795 + 667 = 24*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -21*b - 1. Let u be c(-2). Suppose -2*x + 149 = -u. Suppose 3*y + 2*y = x. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = -4*h - d + 3110, -d = -5*h + 3294. What is the remainder when h is divided by 172?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 52*t**2 + 55*t + 1. What is o(-27)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2322644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/24)\/((-7)\/(84\/(-8)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -1\/2 (c) -1\/6 (d) -533 (e) -1 (f) -298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25.0611 times 1.203\nAnswer: -30.1485033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 80620*s + 324979220.\nAnswer: 5*(s + 8062)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1005 (base 6) to base 5.\nAnswer: -1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**7\/2940 - h**6\/210 - h**5\/420 + h**4\/14 - 4*h**3 + 2*h**2 - 1. Let c(j) be the first derivative of m(j). Factor c(k).\nAnswer: 2*(k - 6)*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3977*b = -3999*b - 176 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - g - 3*g = 16, -4*g + 8 = -k. What is the smallest common multiple of 60 and (0 + k)*(-2 - 20\/8)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6026010.\nAnswer: 2, 3, 5, 200867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1300\/7 (b) -169 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -10*x**2 + 36*x**2 - 45*x - 10*x**2 - 11*x**2 + 40 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/425)\/(((-174)\/(-145))\/(-3))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*i + 150*i + 60 - 79 + 21*i wrt i?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192340 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 - 2 = 0. Let p(v) be the third derivative of v**6\/120 + v**5\/12 - v**4\/24 - v**3\/6 + 2*v**2. Let h be p(w). Solve -h*t - 25 = -9*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -64 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1\/4 (c) 2\/7 (d) 1 (e) 6256 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y + 22 = 0. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 374 + -179. Suppose -5*i + 3*l = -b, -30 = -5*l - 5. Let x be (6\/9)\/(1\/21). Calculate the greatest common divisor of i and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (394\/(-108744))\/(1\/(8\/(-1)))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 7:24 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 divided by 87?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(((c*c**(-1\/3)*c)\/c)\/c))**(-22))**(-45))**(-1\/6) assuming c is positive.\nAnswer: c**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4 + 11 - 4 - 3 + 541*l. Let g(o) = -o. Calculate j(g(d)).\nAnswer: -541*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -8699422 greater than or equal to -8699419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2045*x**2 - 1 - 2112*x**2 + 4195*x**2.\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45280431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 354, 9, -14 in ascending order.\nAnswer: -14, 0, 9, 10, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 35358 + 24228 = 0. What are the prime factors of x?\nAnswer: 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5) + (10 - 12) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 211*q**3 + q**2 - 12*q + 21586.\nAnswer: 633*q**2 + 2*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/6738 - 40399\/195402. Which is the smallest value? (a) -14\/11 (b) 5 (c) t (d) -2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -4, 2 in decreasing order.\nAnswer: 2, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from prpp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 s, and 1 b when four letters picked without replacement from bsbbbsyyxbbbbbbsqbb?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -80757?\nAnswer: -80767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3. Let f(d) be the second derivative of -13\/2*d**2 + 0 + 1\/6*d**3 - 8*d. Determine 2*f(p) - 9*x(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1606*h - 5418 - 52398 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/9 + 29*v**3\/9 + 622*v**2\/9 + 1648*v\/9 + 352\/3 = 0?\nAnswer: -12, -2, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - 71. Let b = v - -125. Solve 3*r - b = -5*o + 2*r, -2*r = o - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -2 - (28 + -47)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {b: 9, y: 9}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 55 + 13 = 0. Let n = -17 + j. Suppose -2*s = -d - d - n, 0 = -4*s + d + 11. Which is the nearest to s? (a) 0.1 (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 161, 1.\nAnswer: 1, 5, 8, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1263 + 20*p + 1263 in the form q + d*p and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g - 105*g + 852 + 963 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110101 + 100111?\nAnswer: -1110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 = -4*p - 0*p, 0 = 3*n + 15. Suppose -b - 4*b + 150 = 0. Let o = b - 21. Solve p*y = -v + o, -2*v - 3*y + 17 = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -5 (c) 129 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55834 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-3)*3\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -484085 - -861733. Suppose b + 247095 = 31*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6735 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -106*x + 11. Let a(s) = -53*s + 5. Let l = 20 + -25. Let p(r) = l*a(r) + 2*g(r). Is p(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 + 7*i - 13. Calculate g(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1067.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 130797551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n + 4 - 7*n + n**2 - 2*n**2 + n. Let t = 3 - 4. Let a = 1 + t. What is q(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:16 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*m + 4*b = 8, -4*m - b - 19 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187383564 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -122\/3. Suppose 2*r - 5*r = -6. Which is the second biggest value? (a) 0 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -2131.9045.\nAnswer: -2126.9045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5708 - 1831. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**7\/42 - 17*n**6\/15 + 321*n**5\/20 - 136*n**4\/3 + 128*n**3\/3 - 1822*n. Factor q(g).\nAnswer: g*(g - 16)**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 14*c**2 - 11*c - 6. Suppose 0 = -5*y + 16 + 14. Let k be t(y). Let x(b) = -b**2 - b - 15. Determine x(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*3 + -4)**2.\nAnswer: 48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4643 - 4489. What is the highest common divisor of a and 1210?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19*w + 113. Let x be i(13). Let v be 47 - 45 - (x\/182 + 0). Which is greater: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -11*k**2\/2 - 76*k - 27. What is the tens digit of h(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -o - 3*o. Let m = 5 - o. What is the tens digit of (m\/5)\/(6\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20825594?\nAnswer: 2, 101, 131, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/25)\/(28\/5) + (-2)\/(-7). Let u be (-93)\/(-33) + -2 - 1. Which is the third biggest value? (a) q (b) -2 (c) u (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*i**3 + 0*i + 5*i + 24*i**3 to the form c + l*i**3 + o*i**2 + v*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -279 + 2789\/10. Which is the biggest value? (a) g (b) -0.3 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4284919 (base 10) to base 8\nAnswer: 20260767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 698722*l**3 - 1397329*l**3 + 698610*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -14 - (10 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 2*j + 4*j + 3*j + 2*j - 2*j + (3 - 3 + 2*j)*(0 - 2 + 1) + 3*j + 3*j + 3*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 266*f + 10. Let i be j(1). Suppose 0 = -y + 9*k - 10*k + 58, 0 = 5*y - 2*k - i. Calculate the remainder when 161 is divided by y.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + -8)*(2 - 0). Suppose -t + l*u + 17 = -6, 13 = t - 2*u. Factor 6*w - t*w**3 + 3*w**3 + 2*w**3 - 8*w.\nAnswer: 2*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/135)\/(1\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16132)\/(-12) + -1)\/(3\/54). Round d to the nearest 100.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 3. Let q be t(5). Suppose -2*w = 32 - q. Let d = 26 + w. Calculate the remainder when 42 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -2*x**3\/3 - 1. Let q = 10 + -16. Let p(h) = -8*h**2 + 6. Let i(v) = 17*v**2 - 13. Let g(j) = q*i(j) - 13*p(j). Give g(b(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 40 = 7*t. Suppose h + t - 1 = 0. Let x = h + 18. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 + 2*s**2 - s - 6. What is the remainder when i(2) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.74, -0.5?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 8) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 95*i**2 - 32*i**2 + 3.\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11577711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1106*j - 8. Let s(w) = -1098*w - 7. Calculate -5*m(f) + 6*s(f).\nAnswer: -1058*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7, -3, 1 in descending order.\nAnswer: 6, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*m - 5, -2*m = 5*x - 5*m - 30. Let u = x + -1. Suppose 3*t - 3*z = 27, -u*z = -6*z + 20. Calculate the lowest common multiple of 18 and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248006 to the power of 1\/2, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 2, h: 5, v: 3}. What is prob of sequence vh?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l = -5901 + 32311. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*j**2 - 2*b*j*s*z + b*j + 219488*j**2*s + 77*j**2*z + 2*j*s*z + 168695*s*z wrt j.\nAnswer: 4*b + 438976*s + 154*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and 0.0851 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/((-1*sqrt(99))\/sqrt(9)))\/(sqrt(12)\/(sqrt(6) + (sqrt(486) - (sqrt(486) + sqrt(486)*-1) - sqrt(6)))).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20593 (base 12) to base 7\nAnswer: 234222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v**2 + 101*v - 13. Let x be r(9). Solve -18 = x*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861042.5us in milliseconds?\nAnswer: 861.0425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 434210597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2366094749?\nAnswer: 67, 431, 81937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*v**3\/5 - 537*v**2\/5 + 1377*v\/5 + 378\/5.\nAnswer: 3*(v - 42)*(v - 3)*(4*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + (-268)\/(-12). Suppose -4*y + 6 = w. What is the remainder when 6 is divided by 8\/y*4\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/24*(-10)\/(-10)*-2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29)\/(1015\/480) + 14. Let g = -0.3 - -1.3. Let w = g + -1. Is y not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let f(d) = 20*d - 172. Let h(y) = -4*y + 33. Let s(p) = -5*f(p) - 24*h(p). Determine s(x(z)).\nAnswer: -8*z**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33322000122 (base 4) in base 8?\nAnswer: -17720032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 10 = 6*i. Suppose v + 42 = x - v, i*v = -x + 56. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)*-1*6. Suppose -c - 3*x = 2 - 7, 5*x = 2*c - 21. Suppose -c = 4*g, -v - 6*g = -g - 25. Solve 2*k - 3*o = -4 + p, -3*k - 5*o - v = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/((s*s*s**4)\/s*s))\/s)\/s**(-2))**(-3)\/(((s\/s**(2\/3)*s)\/s)**(-3\/25)\/(s**(2\/7))**36) assuming s is positive.\nAnswer: s**(3382\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47827, -95464, -142861, -190018, -236935, -283612?\nAnswer: -330049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 2*o**5\/5 + 125*o**4 + 13776*o**3 + 550368*o**2 - 2370816*o - 193. Solve b(w) = 0 for w.\nAnswer: -84, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0341, 0.251, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Suppose 2 + 10 = -t*c. Let n be ((-40)\/3)\/(c\/9). What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268498.71 to the nearest 100.\nAnswer: -268500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.925551 to 2 dps.\nAnswer: -3.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 4*z**2 - 7*z - 7. Let r be i(6). Solve -19*f = -r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 14 = -2*p. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11928900 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 9:21 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 101252?\nAnswer: -101251.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 231\/17, -5698, 0.1?\nAnswer: 231\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -544*z**7\/105 + z**5\/60 - 79*z**4\/12 + 884*z**2 - 2*z. What is the third derivative of d(u) wrt u?\nAnswer: -26112*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26e + 119a?\nAnswer: e2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714590.4 times -1?\nAnswer: -1714590.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40008843.\nAnswer: 3, 7, 30241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, -4, -591, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o**3 + o**2 - 2*o + 2. Let p be n(1). Let q = -14 + p. Suppose -2*h + 8 = q*h. Solve 2*k - 21 = -5*w, -w + 9 = 4*w - h*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -25. Solve -5*g - 2*n + 3 = -7, v*n = 3*g - 37 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*s + 64 = 0, -2*x - 8*s + 52 = -3*s. Let c be -3 + x + (-6)\/(-3). Suppose -5 = -2*j + c. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14204947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 8*j + 3. Let g be z(3). Let c(o) = 3*o**2 - 17*o + 63. What is the remainder when c(g) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 396 + -180. Suppose -24*s = -6*s - u. Calculate the least common multiple of 105 and s.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t*t**(1\/2)))))**(-4\/11)*(t\/t**8)\/(t*t**8))\/(((t\/(t\/(t\/t**8)))\/t)\/t*t**(-3\/8)*(t**(1\/3))**(2\/3)) assuming t is positive.\nAnswer: t**(-5279\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1524*v + 1500*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8 + 2. Let m be 1*(c\/6 + 0). Let p = -3.36 - -0.36. Put -1\/2, m, p in ascending order.\nAnswer: p, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/5)\/a)\/a*a)\/((a*a*a*a\/a**(-5)*a*a)\/a*a))\/(a**0*(a\/(a\/(a\/(a\/a**(2\/11)))))\/a) assuming a is positive.\nAnswer: a**(-571\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108481112.\nAnswer: 2, 29, 467591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 3. Suppose -9 = -4*r + 5*h + 13, 2*h = -k*r + 11. Suppose 3*m = -5*g + 8, -r*g + m = -m - 1. Solve 2*a - g = 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 312 - 248 = 254 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -24*v + 10. Let w(t) = 67*t - 30. Let q(h) = -8*d(h) - 3*w(h). Calculate q(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 + -138. What is the second biggest value in -1, 1\/6, -0.0075, d?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5568)\/6898752)\/((-2)\/(-42))?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4915)\/665 + 4\/14.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 12:08 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1931115*s**3 + 69*s**2 - 822923891*s?\nAnswer: 11586690*s + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3103426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/7)\/(a**(1\/10)\/a)*a**(4\/7)\/(a\/a**(2\/5)) assuming a is positive.\nAnswer: a**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1928*32\/48 and 83\/8?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 6. Let r be d(-10). Let m = r + 4. Suppose i - 523 = -2*u - m*i, -4*u + i + 1031 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d - 2*o = 64, -3*d + 2*o = -47. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-3 + (-3 - -4)). Let z = -0.2 - -0.32. Let x = z + -0.52. What is the nearest to 0 in x, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -717923 + 81962.\nAnswer: -635961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/4*l - 3\/4*l**3 + 9\/4*l**2 + 3\/4 = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493152, 493144, 493138, 493134, 493132?\nAnswer: 493132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1513 or 9?\nAnswer: 1513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 218 and 1744.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15148 and 1.\nAnswer: -15147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1380 + -1382.548. Let f = -2.6 - w. Round f to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/50 + 1169*s**5\/100 - 73*s**4\/10 + 613*s**2. Factor u(c).\nAnswer: -3*c*(c - 292)*(4*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7733148020 - 3.\nAnswer: 7733148017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151.9 - 160. Let o = k - -8. Let r = -170 + 169.6. What is the nearest to -1 in o, 3\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/20 - i**4\/6 - i**3\/2 + 5*i**2\/2 + 44*i. Let b be t(3). Solve 15 = b*f + 5*m, -4*f - 5*m + 31 = -7*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -13\/158, -0.02, 8, -3, -13.9, -0.2?\nAnswer: -13\/158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 9:00 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 128 = 543. Let m = t - -63. Solve -m*l = 2*k, -5*k - 3*l - 1 + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 50880 = 2*x + 8*x. Calculate the greatest common divisor of x and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102102012022 + 21101?\nAnswer: 10102102110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6140447 and 0.3.\nAnswer: -1842134.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25228674 divided by -2803186\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -22 - 0 - (-9)\/3. Let h = z - -21. Find the third derivative of -3*m**h - m**2 - 14*m**4 + 8*m**4 wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 233, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644.0796 plus 56189?\nAnswer: 56833.0796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((704\/(-84))\/(-22))\/((692\/(-865))\/(12\/(-50))).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5350*w + 8954*w - 213669 = 13283 + 30520 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.15 (b) -5 (c) -2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -313729 divided by 9\nAnswer: -313729\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3540 + 3986. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 49 + 26. Calculate the greatest common factor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1194 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-2 + sqrt(1573) + 0)*-6)**2 + (-2*sqrt(1573)*1)**2 + 3 + -2)*6.\nAnswer: -57024*sqrt(13) + 2270340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(52\/6630)\/(((-2)\/1)\/10).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2064747 + 2064879 = 8*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15*2 - 2) + -1. Let c be (-220)\/x*(-9)\/2. Is 16 a factor of ((-312)\/c)\/(4\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 4. Let s be g(4). Suppose -s*z = -7*z + 12. Put 5, -6, z in ascending order.\nAnswer: -6, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 351?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*4\/(-12))\/(10*2\/260).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492 and 11070?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*c**3 + 12*c - 338*c**3 - 379*c**2 + 380*c**2.\nAnswer: -c**3 + c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1))\/(t**11\/t))\/(t*t**(2\/7)*t)**(-25\/4))**(-1\/9) assuming t is positive.\nAnswer: t**(-44\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19370086 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 124\/24 - (-2)\/(-12). Suppose n*u = -0*u - 95. Is (u\/(-2))\/(2\/12) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2480597685 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(396) + -2 - sqrt(44)) + (sqrt(220)\/sqrt(5) + 4)**2)*4.\nAnswer: 240 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66666?\nAnswer: 2, 3, 41, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163687?\nAnswer: 191, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**3 + 3*i**2 + 3*i + 2. Let b(h) = 13*h**3 + 5*h**2 + 5*h + 3. Let g(y) = 3*b(y) - 5*j(y). Let f be g(1). Solve 4*l = f*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 4. Let i be z(0). Solve -5*s + i*w = -10, -s - 1 - 3 = -2*w for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/13 + 1076*p**2\/13 + 2138*p\/13 - 3216\/13.\nAnswer: 2*(p - 1)*(p + 3)*(p + 536)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2150267785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115920 is divided by 816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 5*d**3 + 0*d**3 + 2*d**3 + 2 - 2 + 3*d - 2*d**3 - 3*d + (2*d**3 - 2*d**3 - 2*d**3)*(-2 + 0 + 0) - 25*d + 25*d - 11*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 20595808.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/16 + (-1)\/(-4). Let r = -1 - z. What is the derivative of 4*c + c**4 - r*c + 1 wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u - 23. Calculate t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2846, -940, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - f**2 + 946*f - 946*f.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2971 (b) -3\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -52\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-8)\/(-20) + 32\/(-20). Let a = 0.8 - -0.2. Let l = -77 - -77. What is the closest to a in p, l, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1065 and 16145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 130336608?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21681015?\nAnswer: 3, 5, 1445401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/5*(-80)\/32. Suppose 3*q + 4 = -n - q, -3*n + q = -1. What is the biggest value in c, -2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-73425)\/(-1) - (8 - 6). Suppose 18*h - r = h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12030333 (base 5) to base 3\nAnswer: 12122201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 36. Which is smaller: d or -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 10. Let a = 497 + -474. Calculate the remainder when a is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.077 and -63.\nAnswer: 193.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/242688 and 127\/96?\nAnswer: 242688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000111 - -1?\nAnswer: 1110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 15940.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 12*n - 33. Let t be r(9). Let m be 3*(-10)\/t - 20. Which is smaller: m or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 6*z + 4. Suppose 10 = 5*p - 7*p. Let i be u(p). Let s = i - -6. Solve s = 2*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 4, g: 2, l: 1}. Give prob of picking 2 g and 2 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 n when four letters picked without replacement from zqnznnnnnqzqzzqn.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + (-2352)\/(-28) - 227\/14.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j + 1\/60*j**5 + 0 - 7\/6*j**3 + 13*j**2 - 1\/24*j**4. What is w(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, h: 11}. What is prob of picking 3 q?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2160260740 to the nearest integer?\nAnswer: 46479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 + 4*s - 120. Let r(b) = 7*b**2 + 5*b - 118. Give 4*r(i) - 5*z(i).\nAnswer: -2*i**2 + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, -40, -96, -174, -274, -396?\n\"Answer: -11*m**2 - m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 28. Let n(w) = 2*w - 19. Let o(d) = -7*n(d) - 5*t(d). Let g(j) = 3. Calculate 5*g(i) + 2*o(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4899 - -16491. Differentiate 2*p**2 + 0*p**2 + 223 - 11504*p + a*p with respect to p.\nAnswer: 4*p + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 7:31 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4797*n - 417333. Determine r(-87).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-2)*u**(-5)*(u**(-4)*u)\/(u*u**(-2\/5)*u*u)*((u*u\/((u*u**(-2\/5))\/u))\/u)\/(u**(2\/11)*u)*(u*u\/u**1)**(7\/6) assuming u is positive.\nAnswer: u**(-3041\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -4?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5014745 to the nearest integer?\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h*s**2 + 40150*h*s + 8910764*h + 5*s**2 + 2 wrt s.\nAnswer: -18*h*s + 40150*h + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4936473 is divided by 4010.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-18)\/(-24))*(-30 + (-111)\/(-6)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 8*w - 5*w - 24, -2*w - 2*j = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6817291 rounded to the nearest ten thousand?\nAnswer: 6820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*y - 34520 = -40*y - 30530 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312736.\nAnswer: 2, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29977? (a) -3 (b) 2\/11 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/26*3\/((-18)\/8). What is the common denominator of ((-402)\/81)\/(1*f\/(-3)) and ((-3)\/12)\/((-6)\/(-67))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 13 + 3 = 0. Put g, -2, 3 in descending order.\nAnswer: 3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h = 0. Let s be (2 - (-1 - -2)) + h. Let x = s - -3. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxff when four letters picked without replacement from qfqxxxffxfxfqqfxfx?\nAnswer: 49\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 53. Let l = 16 - w. What is the units digit of 40\/6*l\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 4)*(1 - 1 + 2*i) - 2 + 2 - 6*i - 285*i - 286*i + 528*i as l*i + y and give l.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34862 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 207678?\nAnswer: -207681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*b + 83, -5*w + 788 = 5*b + 298. Factor 2*m**4 + w*m - 93*m.\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n - 29*n + 1675*n**2.\nAnswer: 1675*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t - 3095 - 1175. Let b be ((-27)\/7 + 3)*t. Calculate the common denominator of 7\/((-28)\/b)*(-4)\/(-12) and 7\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 50*p**5 - 50*p**4 - 35*p**2 - 35. Let a(q) = 3*q**5 - 3*q**4 - 2*q**2 - 2. Let c(y) = 35*a(y) - 2*w(y). Suppose c(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.28 - -0.33. Let j = -0.54 - 0.56. Let f = -1.6 - j. Which is bigger: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 13*b**2 + 87*b + 1182. Let a be u(-12). Let r(i) = 10*i. Let t(k) = -230*k. Calculate a*t(n) - 140*r(n).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/180 - j**5\/40 + j**3\/6 + j**2. Let b(z) be the first derivative of r(z). What is the second derivative of b(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 308*y = 303*y - 22, 4*r = -2*y. Let b(d) be the second derivative of -3\/7*d**3 + 1\/6*d**4 - d + 2\/7*d**r + 0. What is v in b(v) = 0?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22147526 by 8.\nAnswer: 11073763\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1378.975 * 1.\nAnswer: -1378.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*v = 23, -2*v - 3 + 12 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 274*b - 11784. What is x(43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((57\/(-95))\/((-2)\/(-5)))\/(2*(-18)\/1200)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b + 1. Let q(m) = m**2 - 46*m - 3. Let s(u) = 3*j(u) - q(u). What is s(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -20*k**3 + 2*k**2 - 3*k + 1. Let d(s) = -41*s**3 + 5*s**2 - 7*s + 2. Let v(i) = 2*d(i) - 5*g(i). Suppose 154 - 198 = -44*n. Give v(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -15 - -10) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 198\/81 - (-8)\/(-18). Let f(s) = 13*s**2 + 3*s - 12*s**l - 7*s. Give f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let n(t) = 122*t**2 - 5*t - 5. Let r(a) = 21840*a**2 - 896*a - 896. Let c(d) = 896*n(d) - 5*r(d). What is c(h(p))?\nAnswer: 112*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 13. Suppose 9398 = 30*d + 7*d. Let v = 261 - d. Solve v - h = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-6)\/(-45) + 1972\/60 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -73. Let d = 47 - z. Which is the nearest to -2? (a) d (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 513*h**2 + 29241*h + 555579.\nAnswer: 3*(h + 57)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3458342 and 10792?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2225, -2224, -2223?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -166166, -332336, -498496, -664640, -830762, -996856, -1162916?\n\"Answer: o**3 - o**2 - 166174*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (476\/(-144))\/7 - (-4)\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -11. Let j(b) = b**3 + 5*b**2 + 4*b + 2. Let n be j(o). Let r be (-3)\/(3\/(-1)) + n. Which is smaller: -18 or r?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2371, 8094, 17161, 29560, 45279, 64306?\nAnswer: 86629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m**2. Let u(n) = -4*n + 14. Calculate u(r(z)).\nAnswer: -48*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 139, 109, 65?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 - 4*i + 2. Let n be j(1). Suppose -2*y = -n*y + z + 9, -4*z - 26 = -2*y. Calculate the least common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3033999.2 * 0.1\nAnswer: 303399.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3079 times -27.44\nAnswer: -8.448776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1712 = 6*b. Suppose -2*c - 4*k + b = 0, 5*k = -5*c - 0*k + 1070. Let f = -123 + c. Round f to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*s = -57*s - 920. Calculate the remainder when 25 is divided by (30\/4)\/(s\/(-552)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 495065 divided by -495065\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((45\/(-4))\/15)\/((-66)\/8).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4073742?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7192059 millennia in months?\nAnswer: 8630.4708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 371727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 - 23*n**2 + 3*n + 17. Calculate the remainder when 241 is divided by j(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**4\/4 + r**3\/6 + 4*r**2. What are the prime factors of h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/((-10)\/80). Suppose 0 = 2*h + 10, 5*d + 35 - 270 = 3*h. What is the greatest common divisor of d and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i - 40. Let c be q(-10). Suppose 3*z + 12 - 57 = c. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and -76.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4526 + 110701?\nAnswer: 115427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4 + 4)*(-5 + 0 + 0 + (-5 + 1 + 3)*(2 + 2 - 3) - 2 + 0 + 0).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 758192042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*77\/10010*(-3 - -2)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 12:59 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.234563 + -0.766027. Let j = 17 + -31. Let p = j - l. Round p to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - 50) + -8 + (-2 - -4) + -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -9636*g - 386 - 7041285*g**3 - 190 + 7038785*g**3 - 40600*g**2 = 0?\nAnswer: -16, -3\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 6*n**2 + 5*n. Let v be w(-5). Suppose 0 = -v*r - 3*r + 15. Suppose -2*x - z = -3*x - 4, r*x - 15 = -2*z. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75\/272, 5, -7341.\nAnswer: -7341, 75\/272, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 + 2386 = 1297*a - 432*a + 374*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100) + -1*(sqrt(100)*3 - sqrt(100)))\/(sqrt(45)*4) + 2.\nAnswer: -sqrt(5)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8)*g**5*((g*g*(g**(-1)*g)\/g*g)\/g)\/(g\/((g\/(g\/(g**(2\/39)*g)))\/g)))**21 assuming g is positive.\nAnswer: g**(11851\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28152 and 51?\nAnswer: 28152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83090674 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 145299569 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14*o - 12. Suppose 4*p = 18*c - 21*c + 160, 5*c + 4*p = 256. Let r(f) = 0*f + 1 - 2*f + f. Let q(s) = c*r(s) + 3*v(s). Differentiate q(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/360 and (1452\/(-880))\/(42\/(-45) + 0)?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 27. What is the biggest value in 5, -9, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*z - 38, 12410*a = 4*z + 12414*a - 40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 20. Let g be 12\/b + (1 - -10). Solve -4*m + g = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2. Let g be (-2 + -1)\/(-3) + (-29 - -31). Let o(p) be the third derivative of 0 + 0*p**3 + g*p**2 + 0*p - 1\/4*p**4. Calculate o(h(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 13*h**2 + 29*h**2.\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5\/13 + 223812*w**4\/13 + 4699126*w**3\/13 - 4922940*w**2\/13 = 0.\nAnswer: -111885, -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.10501936 + -0.10504. Round g to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -11. Let q = z + 9. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1666)\/(-7752) - (3\/(-4) - -1). Is 1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -0.2 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -181 - 107?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 23*g**9\/68040 - g**8\/15120 + g**4\/12 - 2*g**2 + 4*g. Let a(w) be the second derivative of y(w). Find h, given that a(h) = 0.\nAnswer: 0, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21212221211221202 + 10?\nAnswer: 21212221211221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 89109938\nAnswer: -89109938.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 5*6\/15. Suppose 2*c + 3*a - 4 + g = 0, c - 2*a = 12. Let t be (12\/(-18) - -1)\/(2\/c). Sort t, -15, -5, -3 in ascending order.\nAnswer: -15, -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 5)*(-2*j + 5 - 3 + 0)*(34 + 25 - 180)*(-1 + 5 - 1) as r + v*j and give v.\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) - sqrt(225)*-1*5)\/(1*(sqrt(5) + (-3*sqrt(180) - sqrt(180)) + sqrt(180))).\nAnswer: -18*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.657 times -0.0417827?\nAnswer: -0.0274512339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o + 30*o - 3 = a, -a = o + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 1207?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/56)\/((-99)\/(-18))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14120 + 338819\/24. Find the common denominator of l and -46\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 54.4, 1\/3, 30, 0?\nAnswer: 54.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -9.795. Let j = 165.795 - a. Let n = j + -166.000073. Round n to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssqq when four letters picked without replacement from {q: 5, i: 5, s: 2}?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12559784*u*y - 141345002*y with respect to u.\nAnswer: 12559784*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:22 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6049822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25301520 divided by -144?\nAnswer: 175705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71902 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1351, 2052, 2753?\nAnswer: 3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27.9, 1, -1\/3 in decreasing order.\nAnswer: 1, -1\/3, -27.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 10:10 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svm when three letters picked without replacement from svuseevmemeeeumemem?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3)*10\/36.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 1223 = 180. What are the prime factors of k?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1062, -4236, 4 in decreasing order.\nAnswer: 1062, 4, -4236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33c518 (base 14) in base 10?\nAnswer: 1762650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101445423 to the power of 1\/2, to the nearest integer?\nAnswer: 10072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0+-215207900698\nAnswer: -215207900698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -87, -198, -363, -588, -879, -1242, -1683?\nAnswer: -2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747 + 1110 = 121*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i + 191. Give o(-44).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - -69. Let y = 1.442 + -169.342. Let x = y + m. What is x rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjstvsjdsjsdstp. Give prob of sequence ttp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40056 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/2 of a year?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 836234, 3344945, 7526132, 13379795, 20905934?\nAnswer: 30104549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21795?\nAnswer: 3, 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 6*r + 24. Let x be r\/16 - 18\/(-8). Differentiate -6*p**2 - 5*p**2 + x*p**2 + 2*p**2 + 3 wrt p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l**3 - 5*l - 7. Give b(-2).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1221 - -627. Let z = -593.8 - g. Put z, 0.9, 13 in increasing order.\nAnswer: z, 0.9, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**2 + 13*k**2 - 8 + 10*k**2.\nAnswer: 4*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + n - 6. Let b be j(4). Let x be 159720\/(-297) + 4\/b. What is x rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653590132 to the power of 1\/2, to the nearest integer?\nAnswer: 25565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 59*h + 108. Let a be i(-5). Suppose -146 - 127 = 3*s. Let j = s - a. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13574 and -13575 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3 - 488*w**2 - 15370*w + 1934300 = 0.\nAnswer: -145, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40219\/8210 - 1\/821. Let h = 110\/13 + -7695\/26. Let k = h - -2363\/8. Calculate the common denominator of k and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*d = 12, -2*r - 12 = d - 4*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + -6*(1 + sqrt(147)))**2.\nAnswer: 1344*sqrt(3) + 5548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((905\/(-1267))\/((-16)\/(-28)))\/((-20)\/(-48)*-37)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -39 and 0.6317.\nAnswer: -38.3683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 139216379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10404 - -11212?\nAnswer: 22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 156\/(-198) + 1\/3. Let n = 9\/44 + g. Find the common denominator of n and -59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5 (c) 0.24209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16929 - 11195. Suppose 2*t - 5746 = -4*o + 2*o, 2*t - o - q = 0. Suppose -3*a - 4*v = -0*a - t, 0 = -2*a + 4*v + 1906. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5875 and 35214656?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 242c1?\nAnswer: -242bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 330.7 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + (sqrt(35)\/sqrt(5)*-6)**2 + -3 - 5*(1 + sqrt(49)\/sqrt(175))).\nAnswer: -sqrt(7) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -958023, -958355, -958683, -959007?\nAnswer: -959327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -6*sqrt(117)*1)\/(6*sqrt(9)*2) - ((sqrt(208) - (2 + sqrt(208))) + sqrt(13) - sqrt(65)\/sqrt(45)))**2.\nAnswer: -sqrt(13)\/3 + 589\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -612 - -612.05. Which is greater: m or 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*a - 11927 - 17276 = 25181 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183837343 + -566219007523\/3080. Let l = 16083 - 9907131\/616. Let t = l - i. What is the common denominator of -63\/20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29 + -29 + ((-2)\/2)\/(-3). What is the closest to -1 in q, 3\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1891.88 + 1892. What is the biggest value in 7, v, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:41 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.1130803?\nAnswer: 0.3392409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uddu when four letters picked without replacement from {c: 1, d: 3, u: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 893707, 893692, 893677, 893662, 893647?\nAnswer: 893632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23627*q**3 + 32536*q**2 wrt q.\nAnswer: 141762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2030 by 29.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 26, 83, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdgl when four letters picked without replacement from {m: 10, d: 1, j: 2, l: 3, g: 1, v: 1}.\nAnswer: 1\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032531733 rounded to 6 decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -13. Suppose -3*z - t = 3*n, 0*n - 3*n - 9 = 5*z. Solve z*q + 2 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 7. Suppose 0 = 57*s - 52*s - 25. Determine q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.4. Let o(i) = -2*i + 45. Let z be o(-26). Suppose 31*m = z - 252. Which is the nearest to 6? (a) 5 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + -4.03. Let k = 111 - 116. Which is the second biggest value? (a) t (b) 0.04 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23284 - 512.51284. Let g = -412.343 - p. Let d = 100 - g. What is d rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-21)\/(-8))*49\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = 19*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -0.795307?\nAnswer: -0.295307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-343)\/98)\/(-21*1)*(5 + 181)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 12. Let i be (-2 + c)*(-12)\/(-18). Is i less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 7 + 7 - 4*a + 4*a - a + (-2 + 2 + a)*(3 + 0 - 1))*(-749*a + 4806*a + 1973*a) in the form s + x*a**2 + n*a and give x.\nAnswer: 24120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 18 - 1)*(-2*c + 2 - 6 + 3).\nAnswer: -48*c - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**15)\/(t*t**(8\/5)\/t)*((t*t\/(t**0\/t)*t)\/t)**(-2) assuming t is positive.\nAnswer: t**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*k = 21*k - 19*k + 819 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 0 - 4*v + v + 2*v**2 - 2*v**3 + 7*v to the form m*v**2 + i + z*v + t*v**3 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 552*s - 2219. Give k(-4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(400)*-2).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 2\/13, -2 in descending order.\nAnswer: 5, 2, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 545 = -2*w, 5*r = 3*w + 605 + 305. Suppose -r = -10*d + 5*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1)*10\/20. Suppose 6*c - 5*c = h. Suppose 2*i + 10 = c, 2*v - 1847 = -i + 1234. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 - -1.06. Let l = q - 0.9. Which is the third smallest value? (a) -2 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 4*s + 9 = 0. Suppose 3*i + 8 = -g - 0, -s*g - 5*i - 8 = 0. Calculate the lowest common multiple of 36 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/o**(-5))\/((o**(-1\/7)\/o)\/o**(-7)))\/(((o\/o**6)\/o)\/((o*o**2)\/o)*(o**(2\/3))**(1\/55)) assuming o is positive.\nAnswer: o**(2461\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -258299, -258284, -258253, -258200, -258119?\n\"Answer: p**3 + 2*p**2 + 2*p - 258304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 561573 and -35.23631.\nAnswer: 561537.76369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:07 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9)*(-96)\/(-2). Suppose 0 = 4*m + y - 12, -m + 5*y = 2*m - h. Let f = -4.3 - -4. What is the second biggest value in m, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2538 = -9*i. Let a = i + 503. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78939 and 3672.\nAnswer: 32207112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2471417 and 10?\nAnswer: 24714170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 994.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396435, 396436, 396437, 396438, 396439?\nAnswer: 396440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 5*r**2 + 2*r**2)*(-13 - 5*r + 13).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177 - 102. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -143, -1056, -3539, -8378, -16359, -28268, -44891?\n\"Answer: -131*m**3 + m**2 + m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -321\/5 - -65. Let c(z) be the third derivative of b*z**5 + 0*z**3 - 1\/8*z**6 + 0 - 1\/2*z**4 - 4*z**2 + 0*z - 5\/14*z**7. Solve c(v) = 0 for v.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.902 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, -126, 4, -6 in descending order.\nAnswer: 13, 4, 2, -6, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7474?\nAnswer: 2, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**2 - 1\/120*h**6 + 1\/4*h**4 - 7\/60*h**5 + 0*h + 0 + 2\/3*h**3. What are the prime factors of m(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (3 + -1) - (3 + -7 + -15).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 + (-129)\/(-9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 116, -1, -3, -2 in increasing order.\nAnswer: -8, -3, -2, -1, 0, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7 = -3. Suppose -6*p + u*p = -460. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j - 240 = -78*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/640 and -43\/192.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*k + 256*k - 1091*k**2.\nAnswer: -1091*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 2*y**4 - 4*y**4 - 3*y**4 + 4*y**4 + 0*y**4 + (2*y - 2 + 2)*(0 + 0 - 2*y**3) - 7*y**4 + 4*y**4 + y**4.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4215 and 9?\nAnswer: 12645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -76*k + 324. Calculate l(0).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 8 = 8. Let i(t) = -123 + 61 - b*t + 61 + t**2. Let g(y) = 2*y**2 - 5*y - 2. Determine -4*g(p) + 10*i(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 37328941?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1456 and -81.516783014.\nAnswer: -81.371183014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 114 = 6*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxrxxxmrmmmmxmmm. What is prob of sequence xxr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-1))**(-10)*r\/r**(-3)*r**(-1\/4))**(-34) assuming r is positive.\nAnswer: r**(425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81273463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 24832296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*r = -412, 0 = r - 2*r - 4. Let w = 3930 + -2264. Calculate the highest common factor of w and i.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/15 - 44*s**3\/15 + 152*s**2\/15 + 44*s\/15 - 10 = 0.\nAnswer: -25, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 8*y**2 + 14*y + 12. Give a(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39604*c + 13209.\nAnswer: -39604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/9)\/(s\/(s*s**(-24)*s)))**(-1))**27 assuming s is positive.\nAnswer: s**609","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 15*c**3 + 27*c**2 + 2*c + 101. Let v(x) = 7*x**3 + 14*x**2 + x + 51. Let s(q) = 4*t(q) - 9*v(q). Find the second derivative of s(p) wrt p.\nAnswer: -18*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -425, -1107, -2083, -3365, -4965, -6895?\nAnswer: -9167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/1599 in 1, -2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/36 + 26\/8. Suppose 0*x = 2*x - 2*m - 4, -14 = -2*x - q*m. Solve h = 2*y, 0 = -9*h + x*h - 3*y + 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177088773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**3\/3 - a**2\/2 + a - 6. Let w(q) = -q**2 - 6*q. Let o(f) = 3*m(f) - w(f). Give o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1568 and 508?\nAnswer: 199136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/6 (b) -1.9 (c) 0.05 (d) 1028 (e) 0.06 (f) 0.2 (g) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 148, 136, 116, 88, 52?\n\"Answer: -4*z**2 + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.677160313 + -21.5564.\nAnswer: -23.233560313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90.15 and -204.\nAnswer: 18390.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 254, 267, 284, 305, 330?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48689 and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j. Let g(s) be the third derivative of -s**4\/24 + 18*s**2. Determine g(z(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 102*c - 5917. Let g be p(58). Put g, -5\/3, 11 in decreasing order.\nAnswer: 11, g, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5744*n - 5750*n = 0. Factor -7\/4*x**2 + n + 9\/4*x - 1\/2*x**3.\nAnswer: -x*(x - 1)*(2*x + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2 = 2*j, 0 = j + 3*j - 2*n - 20. Suppose -t - t - j = 0. Let s = t + 5. Solve -s*f + 12 = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from ssfueasaamaa.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18686207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, q: 1, a: 3, r: 2, h: 5, v: 1}. What is prob of sequence qvra?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Suppose -k*h + 2*h**3 + 26*h**2 - h**4 - 25*h**2 + h = 0. Calculate h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -153814, -154134, -154454?\n\"Answer: -320*z - 153494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*m + m - 5*z, -2*z = 5*m - 7. Calculate the remainder when 9 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsxbssbs. What is prob of sequence bbbs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 307456, 1229792, 2767018, 4919134, 7686140, 11068036?\n\"Answer: 307445*i**2 + i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) - (sqrt(133) + 1*((sqrt(133) + (-2*sqrt(133) - sqrt(133)) - sqrt(133)) + sqrt(133)) + sqrt(133))))\/(1*sqrt(448)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 11*a + 24. Let x be b(-7). Is -2 + ((-976)\/x - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i + 96. Let l = -99 + 108. List the prime factors of b(l).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 14 - 5 + 10)*(-7 - 2 - 7)*(3*r + 1 - 1) as m*r + b and give m.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(((sqrt(220) + sqrt(220) + sqrt(220)*-2)*1)\/(sqrt(605) + (1*sqrt(605) - sqrt(605)) + sqrt(5)) + -1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 230*o**2 + 223*o**2 - 2*o + 0*o + 19. Let d be s(-8). Calculate the common denominator of 2\/6 + 201\/d and -8\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 0*m + r = 1, 3*m + 2*r - 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfjrefw. Give prob of sequence fws.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4743987664 to the nearest integer?\nAnswer: 68877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - 25*u - 20. Determine s(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 11981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w + 5. Let h be q(1). Let u be -2 + -12*h\/(-3). Sort u, 5, 4.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1229 + -705. Let s = -524.00000563 + m. Round s to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w. Let h(b) = -2*b**3 - 2*b**2 - b. Let g be h(-1). What is the remainder when (304\/24)\/(28\/42) is divided by t(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Suppose -u = -l + 2. Find the first derivative of u*y - 2*y**2 + y - 3*y + 3 wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*u - 67*u - 1215*u**2.\nAnswer: -1215*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/5028 and 71\/280.\nAnswer: 351960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 - 144. Sort u, 5, -0.5 in descending order.\nAnswer: 5, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 8\/(-4) - -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19c208 + -c?\nAnswer: 19c1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101000 (base 3) to base 12.\nAnswer: -3b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/3 + 202*d**4\/3 - 3934*d**3\/3 + 18254*d**2\/3 + 2256*d - 31416 = 0?\nAnswer: -2, 3, 6, 17, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)\/((h\/(h\/(h\/h**(-1)*h)))\/h))**(-1\/9) assuming h is positive.\nAnswer: h**(28\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102088 or 102111?\nAnswer: 102111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24833 divided by -44?\nAnswer: -24833\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 5301*f**2 + 134478*f + 139776.\nAnswer: -3*(f - 26)*(f + 1)*(f + 1792)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3756723.\nAnswer: 3, 607, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2 + 5*f + 2. Let j be z(-3). Suppose -204 = -61*t + 37 + 3. What is the first derivative of 4 + 21 - j*m**4 - 1 + 35*m**t wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5 + 11045*l**2 - 14308*l.\nAnswer: 20*l**3 + 22090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35270179*w - 23785089 wrt w?\nAnswer: -35270179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-9 - -3) - -3) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 3:11 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 6*f**2 + 7*f + 5. Let m be -2 + -1*(3 - 7). Suppose -2*l - m = -0, t - l = 8. List the prime factors of n(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3822 or 3823?\nAnswer: 3823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1469, -1464, -1451, -1424, -1377, -1304, -1199, -1056?\n\"Answer: m**3 - 2*m**2 + 4*m - 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 549 = 4*t + q, 0 = 2*t + 2*q - 272. Let w = -139 + t. Solve w*d - s + 1 = 0, -d + 3*d + 2*s = 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + o = 5*o + 3, 2*q - 4*o - 10 = 0. Suppose q*k + 170 = 12*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 2)*(2*x**3 - 1 + 1) - 25*x**3 + 27*x**3 + 164*x**2 + 2 + 185*x - 183*x.\nAnswer: 12*x**3 + 164*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76987039 and 1931.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/44 and -23\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v - 3. Let w(j) = j + 1. Let r(i) = 2*g(i) + 7*w(i). Let s(q) = q - 1. Let t(k) = -5*k + 5. Let h(c) = -26*s(c) - 6*t(c). Calculate h(a) + 5*r(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytvyt. What is prob of picking 1 y, 1 v, and 2 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101110101100011111 (base 2) to base 16.\nAnswer: -12eb1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1121000100002 (base 3) to base 14\nAnswer: 180766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -20\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 7*s**2 - 24*s - 19. Determine p(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000137 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1529, 1572, 1615, 1658?\nAnswer: 1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138213469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4444*u = 4503*u - 649 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - a + 24 - 7 = 0, -4*f - 1 = 3*a. Let z be 3\/(-18)*f*-3. Let g be ((-15)\/7)\/3 + 1. Sort g, z, 1 in increasing order.\nAnswer: z, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 21*y - 3 = 24*y, 0 = -w + 5*y - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1122?\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((-101)\/707*(-7)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 5*t - 2*t)*(-1034 + 345 - 11382*t**2 + 344 + 343).\nAnswer: -11382*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139531037.\nAnswer: 179, 317, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 877.06233 - 7.44533. Let f = y - 870. Let j = f + -0.067. What is j rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose o = -b - 3. Let w(r) = 4*r - 9. Let k(p) = 5*p - 10. Let m(g) = o*k(g) + 7*w(g). What is the first derivative of m(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = a + 5*m - m, -44 = -4*a + 2*m. Suppose -184 = -a*j + 257. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 555072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c1 - -a48db?\nAnswer: a4eac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32686 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 987894 and 3053.\nAnswer: 42479442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -16*o**3 + 12*o**2 + 3*o - 3. Let t(g) = 15*g**3 - 12*g**2 - 2*g + 2. Let u(q) = 2*p(q) + 3*t(q). Find the third derivative of u(i) wrt i.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3798 or 3966?\nAnswer: 3798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -3 (c) -8 (d) -10 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/12 + 2*(-1011)\/(-24)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244156013 rounded to the nearest one hundred thousand?\nAnswer: -1244200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let n be (l + 3 - 3)*-2. Suppose 2 = n*o - 6. Solve -3*q + 3*u = 6, -o*q + 0*u = -2*u + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*p + 787 = -117*p + 224*p - 106 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 74656.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 19. Let k be (-7)\/(588\/(-1152)) + -14. What is the closest to k in -0.5, b, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17\/(-5) + (-26)\/325*-5. Put a, 3, -16, 5 in increasing order.\nAnswer: -16, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzwdddzzddjyyzdd. Give prob of picking 3 d and 1 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 0.5, -0.2, 1\/7, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2236330.04 to the nearest one hundred.\nAnswer: -2236300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 5659675?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75*(-77)\/110)\/(8\/((-192)\/(-20)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - u + 33 = 3*h, -2*h + 2*u + 18 = 0. Let r be ((-10)\/4)\/(7\/h). Sort 0, r, 5 in descending order.\nAnswer: 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 13638*q + 368958. Calculate h(27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46360051 * 3.\nAnswer: -139080153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:36 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221 - 220.9889. What is f rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 28. What is the highest common factor of d and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1682\/267 + -3\/89. What is the common denominator of -17\/3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + -4 + 0 - -4. Does 6 divide 16\/g*12*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-3)\/6*-4. Let r = q + 5. Let v be 90\/35 - 3\/r. What is the greatest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20483*w - 38635*w - 71644*w - 117092*w.\nAnswer: -206888*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/20 and -61\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1320)\/(-135) + 2\/9. Solve 0*r - 10 = 3*r + 5*x, -n = -r + 5*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 101085*f - 7395192.\nAnswer: 3*(f - 73)*(f + 33768)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**8\/50400 - s**7\/3150 + s**6\/450 - s**5\/20 - s**2. Let b(a) be the third derivative of h(a). Factor b(d).\nAnswer: 2*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2661 - -2657. Sort -3, -5, o, -6 in increasing order.\nAnswer: -6, -5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 11. Let w be b(-5). Let t = w + 3. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 5382\/(-270) - (-1)\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -47, -55, -67, -83?\n\"Answer: -2*l**2 + 2*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-798)\/49 + 17))\/(2\/(-6))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 + 0*o**3 - o**3 + (-2 + 4 - 4)*(-o**3 + 2 - 2) + o**3 + 2*o - 2*o - 2 + 2 + 6*o**3 + 6*o**3 + 21*o - 21*o.\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-3)\/(-2 - -5). Suppose -4*p + 12 = -8. Suppose -4*u - 8 = p*a, 0 = a + 5*u + 12 - 2. Solve -4*w + l - 15 = a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 > -696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21694 - -444. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761 = -10*b + 811 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.665*354.\nAnswer: 235.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**7\/231 + y**6\/33 + 3*y**5\/55 - 2*y**4\/33 - 8*y**3\/33 + 35*y + 100. Let p(w) be the first derivative of q(w). Factor p(r).\nAnswer: 2*r*(r - 1)*(r + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47834.\nAnswer: 2, 23917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 791013371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27.3 in -2\/7, -3\/5, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10049069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49102 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -6*f**5 + 241*f**4\/2 + 2492*f**3 + 2239*f**2 - 2486*f - 4719\/2 = 0.\nAnswer: -143\/12, -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/120 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -15 (c) 1\/4 (d) 0.05 (e) 3\/4 (f) -3613\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -246 and 5152.46.\nAnswer: -1267505.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 13*v**2 + 9*v - 8. Let o(n) = -n**2 + 1. Let h(k) = a(k) + 3*o(k). What is the units digit of h(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80 or -161\/2?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-4)*l*l)\/l)\/(l*l**(-4)))**(-2\/25)*(l**(-2\/5))**(-2\/123)\/(l*l**0*l**7) assuming l is positive.\nAnswer: l**(-24826\/3075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022002 + 21?\nAnswer: -2021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 y when three letters picked without replacement from qwjwykwywykywyy.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -40, -16085, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 - 44*s + 2. Let d be k(11). Suppose -c + 7 + 1 = d*j, j + 2 = c. Suppose 3*h - 57 = -2*a, j*h + 144 = 4*a - 2*h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/906528 and -137\/840?\nAnswer: 4532640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52, -35, -18, -1?\n\"Answer: 17*h - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 + 2*f**2 + 1639*f + 3*f**4 - 1636*f + 3 + 0*f**3 to z + r*f + u*f**3 + t*f**2 + j*f**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 88802\nAnswer: 177604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + 5*l)*(-6 + 1 + 3)*(-3*l + 4*l - 3*l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 + 3*b + 7. Let g(s) = -s - s + 0*s + 2*s**2 - 4. Suppose -8*p - 3*p = 55. Determine p*g(t) - 3*d(t).\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 229\/14 or 16\/51?\nAnswer: 229\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202.193821 - -0.08.\nAnswer: -202.113821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 8*q - 3. Suppose d = -5*a + 18, 24 = 2*a + 2*a - 4*d. Suppose x = -5*j + 3, 0 = 3*j + a*x - 7 - 5. Let o = -6 - j. Determine k(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - k**2 - 2*k + (-1874*k**2 + 296665 - 296665)*(2 - 4 + 1).\nAnswer: 1873*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/78*1*-1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14200218 + 9736556. Let w = k - -4463662.27800147. Let f = w - 0.278. What is f rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -97*v**2 + 55*v**2 + 52*v**2. Let u(n) = -4*n. Calculate u(q(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 2*k - 3. Let g be r(0). Sort -6, 5, g in decreasing order.\nAnswer: 5, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -20. Sort 0.4, n, -16 in decreasing order.\nAnswer: n, 0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 + -16 + -12)\/((-399)\/(-209))?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004206 rounded to four dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 132*w + 7. What is i(-132)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 77*p - 82. Let u = 257 + -253. Let b(l) = 2*l. Let w(g) = u*b(g) - o(g). What is the derivative of w(q) wrt q?\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h - h**2)*(-h**2 - 4 + 4 + 4*h**3).\nAnswer: -4*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 10*y**2 + 9*y - 5. Let i(o) = -o**3 + o. Let x(g) = -2*i(g) + w(g). Let u be x(-9). Calculate the greatest common factor of u and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411556350 is divided by 1582909.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -2*z - 11, -181*u + 4*z + 23 = -178*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*h**3 + 5080 - 5080 + 13*h**3.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-108375)\/(-875) - 1\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -f + 8, -4*f + 2*z + 22 + 12 = 0. Factor 24*q**2 + q - 4*q**3 + 14*q**3 - 2*q + f*q.\nAnswer: 2*q*(q + 2)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123173745.\nAnswer: 3, 5, 8211583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 948467821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 55*g + 3022. Is f(-23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19646, 19534, 19422, 19310, 19198, 19086?\n\"Answer: -112*f + 19758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = -58. Let d be 3\/(-7) - (-34)\/z. Find the common denominator of (-44)\/9 + -3 + 3\/d and 27\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y + 20*y + y - y.\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltntcdndtlldddc. What is prob of picking 1 n, 1 t, and 2 d?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((104*i - 92*i + 242*i)*(2 - 5 + 2) - 2*i - i - i)*(-5*i + 9*i + 2*i).\nAnswer: -1548*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*l + 5*l + 10323, -h - l - 10319 = 0. Let o = -3834 - h. Let r = o - 4619. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2518*l + 2519*l + 7 - 7561*l - 7 + 2517*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * -19\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223 + -668\/3. Which is the third smallest value? (a) q (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 24. Let k = -52 + 50. Sort k, z, 2\/17, -0.1 in ascending order.\nAnswer: k, -0.1, 2\/17, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4763*n + 39 = -4766*n - 5*d, -4*d = -5*n + 46 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*((-1 + 1 - 2)*(2*s - 4*s - s) + s + s + 3*s + 3*s + s - 6*s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(44)\/(-2*sqrt(4)) - (-3 + sqrt(176))) + -5 - (-3*sqrt(11) + 5 + sqrt(11) - 4*(2*sqrt(11) - sqrt(11))))**2.\nAnswer: -49*sqrt(11) + 735\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1346200 divided by -424.\nAnswer: 3175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:25 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 423076 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-245)\/5)\/(-3 - -9 - (18 - 143\/13))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 11. Let x be p(14). Calculate the highest common factor of 24 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 2*n + 209. Let u be z(0). Let f = u + -201. Calculate the greatest common factor of 128 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c6ba9 + -5?\nAnswer: -4c6bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 9\/14 of a week?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-8)\/(-116)) - 4. Let w be 116\/20 - 20\/n. Solve 0 = 2*f + 3*u - 13, w = u + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 575*a + 576*a = 79, a - 7 = 0. Solve -4*c = -2*d - t, -4*d + 444 = 3*c + 448 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33078 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.3. Let i = -3.3 + -0.7. Let o be 1 + ((-2)\/5)\/((-7)\/35). Which is the third biggest value? (a) o (b) i (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -979*w + 10 - 978*w + 1958*w. Let f(c) = -c**2 - 5*c - 3. Let a be f(-5). Let u be q(a). What is the highest common factor of u and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/60 + (-175)\/210?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -558780 divided by -4\nAnswer: 139695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 36 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.47716 rounded to 1 decimal place?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 36. Let t(u) = -3*u**2 + u**2 + d*u**2 - 3*u**2. Let c(o) = -o - 2. What is t(c(f))?\nAnswer: -2*f**2 - 8*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -30. Suppose l*i + 4 + 1 = -3*g, 2*i - 2*g - 14 = 0. Solve i = -o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42557190, 42557170, 42557132, 42557070, 42556978, 42556850, 42556680?\nAnswer: 42556462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -879\/4 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 + -1 - (-9 - (1 - (-71 + -7)))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.007 + 4.407. Let x = -4 + b. Suppose 0 = -44*p - 33 - 55. What is the biggest value in 0.5, x, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4 + (-1)\/4*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:12 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -6. Suppose y = 4*y - p. What is the units digit of 22\/y + 2\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(99) + -1 + ((sqrt(99) + 3)**2 - sqrt(99)) + (sqrt(99) - ((sqrt(99) - 4*sqrt(99)) + sqrt(99) - sqrt(99)))*-1 + sqrt(99) + 3.\nAnswer: 9*sqrt(11) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10855?\nAnswer: 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:28 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 600 + 2410. Suppose 0 = -9*c + 14*c - g. Suppose -5*j + 232 = 4*s, c = 3*s + 2*j - 0*j. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3072 and 168960.\nAnswer: 168960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y + 19*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/17 in -10\/11, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14672 + 14731. Solve 8*w - u = -59 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31931*2.\nAnswer: 63862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -123*q - 3445. Let p be w(-28). Sort 0, -64, p, -3, -2 in ascending order.\nAnswer: -64, -3, -2, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545596001 to the nearest integer?\nAnswer: 23358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*o + 7*o - 21, 0 = -4*o - 3*h + 49. Suppose -2*f - 3*x + 4 = 0, -o*f - x = -9*f - 3. Solve -3*k - 6*p = -3*p - 15, 5*k - 5*p = f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -63*d**2 + 84*d - 188*d + 104*d. Let p(x) = -44*x**2. Give h(p(y)).\nAnswer: -121968*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-66)\/18)\/((-1)\/27). What is the highest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 9*y + 15*y = 5440. Let v = 34 - 16. Suppose y = -v*w + 20*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvvvvvfvv. Give prob of sequence vf.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7628*l**3*m**2 + 47*l**3*m + m**2 - 319*m + 183 wrt l?\nAnswer: -22884*l**2*m**2 + 141*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64.5 - -65. Which is the nearest to -1? (a) -0.1 (b) -7 (c) -3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/20 - -6)*(-16)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707960 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1 = -25. Suppose -w*s = -9*s. Suppose 4*n + 2*d - 58 = 0, 3*n - 5*d - 30 - 33 = s. What is the remainder when 29 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*a + 123, -4*h + a + 2*a = -133. Let q = 52 - h. Solve -3*b + q = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/3)\/b**(-7)*(b**(1\/4)\/b)\/(b*b*b*b\/b**(-8)) assuming b is positive.\nAnswer: b**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.0279 - -0.9799. Which is the nearest to 0.7? (a) -5\/2 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(270))\/sqrt(5))\/(-1*sqrt(200)) - (sqrt(147) + sqrt(147)*1 + sqrt(147) + sqrt(192)\/sqrt(4)).\nAnswer: -127*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37181626?\nAnswer: 2, 18590813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111102 (base 4) to base 6.\nAnswer: 10150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6*(3 - 0)*-9. Suppose -4*k = -11 - q. Solve 0 = -u - 4*u + k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214687.437 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3\/11, -0.06, 1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-6) + 3)*(-17)\/((-102)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1452 and 21538?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9568596 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11111502, -11111506, -11111512, -11111520, -11111530?\nAnswer: -11111542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*d + 64 = 4*x, -2*x = 3*d + 48. What is the smallest common multiple of 4 and (1 - 4)\/(-3 + (-42)\/d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 - 41044*k + 210307104 = 0. What is k?\nAnswer: -14013, 3752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let s(q) = 27*q**2 - 5*q - 4. Give z(s(p)).\nAnswer: 27*p**2 - 5*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 68480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56285 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -90774*z - 2632458. Give w(-29).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1972123, -1972165, -1972207, -1972249, -1972291?\n\"Answer: -42*k - 1972081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -191, -185, -165, -125, -59?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 + (-3)\/12. Suppose -4*s + 6*s + 2 = 0. Is s - f - 1 - -19 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -1\/308181?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 16. Let x(f) = -3*f**3 + 5*f**2 - 6*f - 13. Let o(b) = -7 + 3*b**2 - 2 - 2*b**3 - 2*b - 2*b. Let y(d) = -7*o(d) + 5*x(d). Give y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 410 - 383. Is 36 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/15 - 3187*l**4\/3 - 20313938*l**3\/3 - 5301*l**2 - 2*l. Let f(h) = 0. What is h?\nAnswer: -3187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405801 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.68 - -0.18. Let g = b - -3.5000085. What is g rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3357, -10789, -22295, -37869, -57505, -81197?\nAnswer: -108939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955613359.\nAnswer: 955613359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 81*y + 7. Is w(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -280 - -742. Is (32 - 1)\/(42\/s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 53, 293202, -2.\nAnswer: -2, 2, 53, 293202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 131865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1411*z**2 - 623*z + 48. Let n(q) = 941*q**2 + 415*q - 30. Let v(l) = 8*n(l) + 5*x(l). What is the second derivative of v(r) wrt r?\nAnswer: 946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, g: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 481 + -2401\/5. What is the fourth biggest value in 0.4, t, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 25 - ((-7 - 2) + 3 + (21 - -9)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/5))**(-1\/9) assuming p is positive.\nAnswer: p**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3381 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*r + 102*r + 381*r - 60486 = -29*r for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55245.\nAnswer: 3, 5, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4188469 is divided by 993?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/4*(-57)\/(1425\/70)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 0, 0 = a - 3*k - k - 76. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 11:04 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 831978850 divided by -166395770\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwvvv. Give prob of picking 1 w and 1 v.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 49\/(-2)*(-5 - -7). Let c = -45 - x. Differentiate 5*z**c - 4*z**4 + 6 - 2*z**4 with respect to z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85949192.\nAnswer: 2, 7, 71, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -1\/100*o**6 + 1\/350*o**7 + 0 + 1\/5*o**4 - 1\/25*o**5 + 52*o**2 + 0*o + 0*o**3. Factor i(d).\nAnswer: 3*d*(d - 2)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5893, -5892, -5891, -5890?\n\"Answer: s - 5894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert d9a91 (base 16) to base 12.\nAnswer: 36bb29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d + 362 = 2129. Which is smaller: d or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*w + 23559 = -40*w + 3*w - 1149 for w.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 295 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 57233860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9501 + -0.0499. Sort -8, -0.2, q, 4 in decreasing order.\nAnswer: 4, -0.2, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 + 777*s**4 - 186*s**3 - 143942*s**2 wrt s.\nAnswer: 60*s**2 + 18648*s - 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veecevvxeeebvcebeee. What is prob of picking 2 v and 1 c?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + 6 - 11*2\/(-34). Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17375, 34311, 51225, 68105, 84939, 101715?\n\"Answer: -2*j**3 + j**2 + 16947*j + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 12*g - 2. Let w(f) = 24*f - 3. Give 7*o(k) - 3*w(k).\nAnswer: 12*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + s + 3*s + (-2*s - s + 2*s)*(2 + 4 - 4))*(s**2 + 5*s**2 - 5*s**2) as g*s**3 + k*s + l*s**2 + p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 18. Solve -4*m + d*j + 28 = -0*j, -2*m + 30 = -5*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/45 + (697\/(-1785))\/41\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127441555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10 - 1)*((-46)\/(-16) - 1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 836*i - i**2 + 836*i + 3*i**3 - 5*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*i + 10, 2*i = -5*c + 4. Suppose c = 4*y + u - 8686, -4*u = 2*y - 5*y + 6505. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 1096*w + 3059 - 3059.\nAnswer: w**2 - 1096*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-1*-4)\/(sqrt(72)\/(sqrt(18)\/sqrt(2)))*-1.\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 <= 0.2323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*s - 16703 + 1415 = 0. Calculate the greatest common divisor of 1960 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26457963*s**4 + 4*s + 624766050 wrt s.\nAnswer: -105831852*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 - (-40 - -22 - -23).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7422, -7057, -6452, -5607, -4522, -3197?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 90 - 162. Which is the biggest value? (a) 0 (b) -1\/3 (c) -0.5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 801 divide 5421168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 460.1 - 354.1. Let t = -65.7642252 + -40.2357664. Let q = t + l. Round q to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-9 - (10 + -24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*d = 5*k - 2, 0 = -2*k + 2*d + 8. Solve k + 2 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -9. Let d be 3 - 1*(-2 + 2). Suppose 3*v - 6 = 5*u, 2*v - d*u = 6*v - l. Solve 0 = -x - v*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 93 + -81 - -35\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0309016 to four decimal places.\nAnswer: -0.0309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00472 to 4 dps.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 4*t - 1. Let m(z) = 5*z**2 - 17*z - 5. Suppose -2*a + 23 = 9. Let i(n) = n - 5. Let r be i(a). Determine r*m(o) - 9*x(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 383 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582800*p - 706943*p + 2093078*p + 1036213*p.\nAnswer: 3005148*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Suppose 75 = -c*g + 11. Let u = 29 + g. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 53. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, 0.3, 2\/7, -15, -63 in increasing order.\nAnswer: -63, -15, 0.21, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**3 + 2*s**2 - 1. Let d be b(1). Sort d, 2, 8 in ascending order.\nAnswer: d, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 106 (b) -4\/5 (c) -0.5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-17 - -5) + 27?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0 + 0)*(-4 + 0 - 4).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 246*u**5 + u + 58 wrt u.\nAnswer: 4920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2208\nAnswer: 1\/2208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2295*p = 2137*p + 5111*p - 153543 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 7\/6, 4.3, 0, 1818?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 364 = -c + 246, -608 = -2*h - 2*c. Let n = -1799\/6 + h. What is the common denominator of 79\/20 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2, 0.24, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - 92)*(-1)\/(4\/4). Suppose -11*d = 64 - n. Solve -2 = a + d*w - 0, -2 = 2*a + 5*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 46.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 305558905 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**3\/3 - 5*q**2\/2 + 5*q + 1. Let n(k) = -k + 1. Suppose 46 - 22 = 4*d. Calculate d*n(l) - i(l).\nAnswer: l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6076631 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 9*l**2 - 2*l + 9. Let m be o(-9). Let x be ((-9)\/2)\/(371\/126 + -3). What is the greatest common factor of x and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a950 + -4?\nAnswer: a94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jccnjjcxcjcccjcdxcjc. Give prob of picking 1 n and 2 c.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1843782 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-16))\/((-12)\/(-40)). Suppose l = 1, -p + 6*p - 425 = j*l. What is the greatest common divisor of p and 688?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 67 = -4*v + 11, 3*v = -12. Let p = -66 - a. Is (-3462)\/p + 14\/(-91) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2366 = 4404*x - 4586*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29566 + -0.013\nAnswer: -29566.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1192*q + 3478*q - 325*q - 909 - 516*q - 4671 wrt q.\nAnswer: 3829","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 + 12. Suppose -5 = 4*z - y - 12, 0 = -3*z - 4*y + 10. Let s(r) = -r**2 + 3*r - 2. Let p be s(z). Is t(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161094?\nAnswer: 2, 3, 26849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*i**3 + 58*i**2 + 2527?\nAnswer: 54*i**2 + 116*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.013 (b) 2\/5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 3 + 3*d - 10*d + 9*d as a + r*d and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t. Let h be (15\/10)\/(1\/2). Let b(l) = -l + 3*l - 3*l + h*l. Calculate b(r(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91596 and 309672?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807 = 242*h + 7179 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117778220 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 - 160.73. Round v to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2. Let d(n) be the first derivative of -n**2\/2 - 4. Give v(d(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (44\/110 + (-26)\/40)*-8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 766 - 3832\/5. Let d = 1.34 + -1.84. What is the nearest to 1 in d, -4, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*o - 2*j, -2*j = -3*o - 3*j - 5. Suppose o = y - 4. Suppose -2*x + 0 = 5*b - 2, y*b = 4*x - 60. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + n**2 + n - 2. Give i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1096 + -0.2087?\nAnswer: -0.0991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 381991303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:56 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 266\/4 - (-11)\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**7\/315 - 11*i**6\/6 - 1210*i**5\/3 - 332750*i**4\/9 - 808*i**2. Let n(x) = 0. What is x?\nAnswer: -110, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + ((0 + sqrt(72) + sqrt(72))*5 - sqrt(72) - sqrt(72)))**2.\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 22. Suppose -3*i = -2*d + 5*d - 39, -3*d - 25 = -i. Calculate the smallest common multiple of i and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*t + 125*t - 83 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 15\/4*f**2 - 3*f**3 - 3\/2*f + 0 + 3\/4*f**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85798581 a multiple of 669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r**2 - 3*r - 12. Is b(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/t**(-10)))\/t*t\/t**(-3\/8)*t*((t*t\/(t*t*t**(1\/9)*t))\/t)**(-2\/9))**(-2\/13) assuming t is positive.\nAnswer: t**(5933\/4212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 31 = 5*f. Let s(u) = 2*u**3 - u + 1. Let j be s(1). Let l = j + f. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6*5)\/(((-8)\/(-24))\/((-2210)\/(-255)))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3883*s - 7779*s + 3880*s + 0*s**2 - s**2.\nAnswer: -s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**3 + x**2 - x - 1. Let h be a(8). List the prime factors of h\/(-9) + (-2)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -300, -459, -618, -777?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -0.87?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/20*(38 - (2 - 2)). Let o = l + -109. What is the remainder when 143 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**4 - 388*h + 390*h + h**2 + h**2 - 2*h**3 + 6*h**4 to the form y*h**4 + n*h**3 + l*h**2 + k*h + c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -3 - (-12 + 27 + 43).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 = -19*s - 33*s - 75 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-255)\/25*2\/(-6) + -3. Let d = 0.2 - 0.3. Let v = 0 + d. What is the smallest value in -2, l, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 2:47 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**7\/840 + l**6\/160 - l**5\/80 + l**4\/96 + 3*l**2. Suppose k(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173805 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.1431 minutes in nanoseconds?\nAnswer: 56768586000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10410431 and 2923?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 6, -2 in descending order.\nAnswer: 6, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.03072 - -0.12572. What is g rounded to one decimal place?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(54\/26 + -2). Let i = -5 + c. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11833674 or 11833669?\nAnswer: 11833674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p + 20. What is the remainder when ((-105)\/p)\/(-1*1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekkkkkkkkkkkkekkkk. What is prob of sequence ek?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 588898306?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22081 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - 21. Let k = 37 + l. Let u be 26\/8 + k + 14. Sort u, -0.01, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.01, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1313, 3 in descending order.\nAnswer: 1313, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88399176 is divided by 704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 (base 12) in base 13?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*w + 116, 20 + 46 = 3*z + 3*w. Let o = z - 22. Solve -f - 4 = -o*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, -5, 16 in descending order.\nAnswer: 22, 16, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(-15\/8)\/(r\/(r*((r\/(r\/(r\/(r*r\/r**(1\/3)))))\/r)\/r)*r*r**(-4)\/r) assuming r is positive.\nAnswer: r**(-103\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 275 = 2*w. What is the remainder when w is divided by 48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*d + 2*p, 2 = 7*d - p + 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8936 - 6791. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1779 at least as big as -37369\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 18, a: 2}. What is prob of picking 2 o?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 238 - 264.4. Let t = 26.7 + w. Let x = 144 - 428\/3. What is the nearest to t in 3, x, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 5 - ((7 - 4) + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1820259 and -1820259 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 - 4*a**2 + 4*a + 12. Let o be v(-3). What is the third derivative of 72*p**3 - 11*p**2 - o*p**3 - 3*p**5 + p**5 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394581 is divided by 35870.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 4*z + 5. Let j be l(4). Suppose 0 = j*s - s - 60. Suppose 0*b = -3*b + s. Calculate the highest common divisor of b and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**2\/2 - q + 8. Let c be r(-5). Suppose -x = c*k - 3562, k - x - 886 = x. What is k rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 4:37 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(852\/(-1056) + 2\/11).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -24*v**3 - 4*v**2 + 4*v - 2. Let n(t) = 64*t**2 + t - 1 + t**3 + 53*t**2 + 53*t**2 - 218*t**2 + 47*t**2. What is -4*n(j) + w(j)?\nAnswer: -28*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2. Let a(u) = -106065897*u. Determine a(t(n)).\nAnswer: -106065897*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397158 by -111.\nAnswer: -3578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*o + 51*o - o + 2.\nAnswer: 220*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 249*j**2 - 358*j + 2839. Give q(-126).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7123 and 0.066875.\nAnswer: 7123.066875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4303 to two decimal places.\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44\/499 + 170335\/1996. Let j = 86 - n. Let d = -0.5 + -2.5. Which is the nearest to 2? (a) d (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/((t\/(t\/((t\/t**(2\/15))\/t))*t*t)\/t))\/t)\/(t**12*t*t))**(-1\/12) assuming t is positive.\nAnswer: t**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1331*w - 149076. Determine z(-112).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 10 - 8)*(2*l + 69 - 69).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*u + 5 = -0*u, -29 = 3*l - 4*u. Let d(x) be the second derivative of x**5\/20 + x**4\/6 + 2*x**2 - 106*x. Give d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 8515844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-9 - (2 + -10 + -5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54679.7 millilitres to litres.\nAnswer: 54.6797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 169 = 2*w, 0 = -w - 2*w + 5*h - 216. Let k = w + 132. Calculate the highest common divisor of k and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:38 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-2\/77)*m*m)\/m*m*m*m**(-37))\/((m*m**(1\/42))\/m*m**(19\/4)\/m*m) assuming m is positive.\nAnswer: m**(-34927\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47.98*-0.3.\nAnswer: 14.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0 - 2*x - 3 - x. Let t be v(-2). Sort -3, 4, t in increasing order.\nAnswer: -3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108057, -216123, -324199, -432291, -540405, -648547, -756723?\nAnswer: -864939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -5 in decreasing order.\nAnswer: 6, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - 1424\/12)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.802 and -23.21397.\nAnswer: -24.01597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15.49? (a) -4 (b) -4\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c1a + -145?\nAnswer: -d61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*z + 120*z - 46*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 12 = 0, -5*r = 26*d - 254 + 146 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15211 + 15097.264. Round m to the nearest integer.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 14*i + 19. Let n be k(-9). Calculate the greatest common divisor of n and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1092941*d**2*r + 22*d**2 + 3*d - 4*r**2 + 2286 wrt r.\nAnswer: 1092941*d**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2. Let i(p) = 3*p**2 + 42. Give -7*d(y) - i(y).\nAnswer: -3*y**2 - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 28.7 times 33.408\nAnswer: 958.8096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 10*j**2 + 1\/150*j**5 + 0*j + 13 + 1\/3*j**3 + 1\/10*j**4. Let d(a) be the second derivative of o(a). Factor d(v).\nAnswer: 2*(v + 1)*(v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 80*k**2 - 2*k + 9. Let b be l(4). Let h(f) = 2*f - 4 - 642*f**2 - 645*f**2 + b*f**2 + f**3. Calculate h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 6) to base 2.\nAnswer: -111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 46. Suppose v*n - 829 = -3*k, -k + 833 = 5*n - 0*k. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a**5 + a**2 - 29*a**2 + 3*a**5 wrt a.\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -616?\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 2 + 4*s**4 - s**4 + 206*s**2 + 3*s - 206*s**2 to z*s + d + k*s**4 + t*s**3 + m*s**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 94 - 3*x**2 + 94. Let f(z) = -z**2 + 3. Give f(l(q)).\nAnswer: -q**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3082 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d. Let w(l) = 2*l. Let z(b) = -6*i(b) - 10*w(b). Let a(q) = 4*q + q - 3*q. Determine z(a(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/33)*w)\/w**(-15))**(2\/25) assuming w is positive.\nAnswer: w**(1052\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/10 - k**4 + 5*k**3\/3 + 7*k**2\/2 - k. Is c(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624791 = 13*q - 1536. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 286460010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70166762?\nAnswer: 2, 35083381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/3*58\/77*(-4263)\/(-1218)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - o - 68 + 75, 2*c - 4 = -2*o + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 500, 1154, 2070, 3248?\nAnswer: 4688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 + 293266*a + 21501236689 = 0. What is a?\nAnswer: -146633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/245)\/((-12)\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 314 - -1083. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3170116, 6340185, 9510254, 12680323, 15850392?\n\"Answer: 3170069*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 308 + -308.997. Let o = 0.003 - t. Let x = -0.3 - 0.1. Which is the second smallest value? (a) 4 (b) o (c) 5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12727389 is divided by 231407.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x - 7*x**2 - 7*x + 2 to h + p*x + t*x**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -382\/3. Is 1 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -162?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 3879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 6786*a**3 - 4*a - 51644*a**3.\nAnswer: -44858*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5046 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 56. What is w(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.253 plus 31263040648?\nAnswer: 31263040649.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 511 + -477. What is the remainder when 235 is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 3 - (-440)\/(-45).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Suppose -3*m - 3*b = 2*m - 29, -x*m + 11 = 5*b. Let j = -86 - m. Round j to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1139*h + 36456. Determine x(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1 + 0 + 4)*(-11*d**2 - 4*d**2 + 0*d**2) to v + f*d + t*d**2 and give t.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + i - 4 = -2, 3*i = -5*f + 8. Let r = -1.9 - 66.1. What is the second biggest value in 0.5, r, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (6 - -1)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 785329843 to the power of 1\/3, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + 2*sqrt(52)\/sqrt(2))\/(sqrt(2) - ((sqrt(32)\/sqrt(4))\/sqrt(4) - sqrt(2))) + -2 - ((-2 + 1*sqrt(1053) + sqrt(1053) + -4 + sqrt(1053))*-4)**2.\nAnswer: -152210 + 5187*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 6. Suppose 2*o - 1 = 9. What is d(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -9 + 14 + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + l + 25 = -21, 5*u + 4*l + 225 = 0. Let p = -38 - u. Let a(q) = -1 - 2*q + 2 + p. What is a(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/9 + 156*x**2 - 2812*x\/9.\nAnswer: x*(x - 2)*(x + 1406)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (10 + -6 + 2 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 15444 - 15437 = 5*f, 2*x - 7 = -2*x + 3*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949*f + 41 - 41.\nAnswer: -949*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)*v**6*(v*v**(-2\/7))**(5\/4) assuming v is positive.\nAnswer: v**(-31\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 165. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 25*k**2 - 7*k + 4. Let g(t) = -t**3 - 13*t**2 + 3*t - 2. Calculate 7*g(f) + 3*s(f).\nAnswer: -f**3 - 16*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3 + (0 + 3*-131)\/((-1077)\/33746)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -46. Suppose d + x = 2*b, d + 48 = -4*b - 34. Let t = d - -99. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -27. What is the third smallest value in w, 5, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28748859 + 41.2.\nAnswer: -28748817.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(10\/(-2)))\/(-1*1). What is the tens digit of ((-86)\/2 - r)\/(1\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -93\/4*u**4 + 3\/2*u**2 + 16 + u**3 + u. Is a(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0558 (b) 8925 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21367 + 21367.6. What is the nearest to 0 in 462, 1, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z + 35 = 0. Let w(s) = -s**2 + 9*s + 1. Let u be w(z). Calculate the greatest common divisor of u and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 45*f + 374.\nAnswer: (f + 11)*(f + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -62. Let z be 1*0\/(8 - 14). Sort -2, p, z, -5 in decreasing order.\nAnswer: z, -2, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -58. Let t = -35 + i. What is the units digit of 1*7 - t\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1376110 and 2386780?\nAnswer: 5710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**5\/60 - b**4\/12 - b**3\/3 + b**2 + 3. Let m(p) be the second derivative of n(p). Determine m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9195220.\nAnswer: 2, 5, 31, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 76256407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11329.1 - -11328.9. Let k = 112.91 - -0.09. Is k greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 846199, 3, 30 in ascending order.\nAnswer: 3, 30, 846199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 9*t + 39. Let z(r) = -r**2 + 6*r - 37. Let d(w) = -2*p(w) - 3*z(w). Let q(j) = 109*j. Give q(d(y)).\nAnswer: -109*y**2 + 3597","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 118044 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 + 3*x**2 + 4*x + 4. Suppose 13*h - 18*h + 20 = 0. Let r(m) = -m + 4*m - 1 - 18*m**2 + 17*m**2 - h*m. What is f(p) + 4*r(p)?\nAnswer: 3*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-32))\/((-1)\/(6\/27) - -2)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -b01 (base 12) to base 16\nAnswer: -631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84567.53 litres?\nAnswer: 84567530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2)*2*7\/14. Solve -q*r = r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:00 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 39\/28 (c) 4.5 (d) -1\/4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2300?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2 + 2506*l - 2507 = 0.\nAnswer: -2507, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1565*n. Let s(o) = -95*o**2 - 2*o. What is f(s(k))?\nAnswer: -148675*k**2 - 3130*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*y - 1159, 2285 = 8*g - 4*g + y. Suppose 11*h - g = 946. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1885 * 5.\nAnswer: 9425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 26793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197109286 - 8*v + 197109286.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.34 (b) -2 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14976 = 99*o - 108*o. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -132, -3, -4.\nAnswer: -132, -6, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 12*v - 276. Let k be l(12). Solve p + k = -3*y, 4*p = -2*y + 7*y + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/5 - 6*i**4\/5 - 14*i**3\/5 + 14*i**2\/5 + 36*i\/5 + 16\/5.\nAnswer: 2*(i - 4)*(i - 2)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 30.2. Let w = j + 4.8. Let k = 0.7 - -0.3. What is the closest to k in 3, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 3. Let r(m) = 3*m - 5. Let g(a) = -3*r(a) + 5*z(a). Let t(n) = -n. Calculate g(t(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7596 + -7591. What is the nearest to 2.6 in 1, -2\/15, m, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = 0, -2*j = -0*j - 3*t - 3641. Suppose -j + 14312 = 16*l. Is 48 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 - 3. Let t = 15 - 18. Let o be b(t). Suppose -4*h + 168 = o. What is the remainder when 140 is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-4) + -2 - (-153)\/68. Let p = 113\/234 - -2\/117. Factor -1\/4*k**2 + p - f*k.\nAnswer: -(k - 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 63, 147, 229, 309, 387?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.273731 - -0.270331. Let m = 9.2 - -33.8. Let k = q + m. What is k rounded to 4 decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 27*a**3 - 7*a**2 - 35*a + 128. Let i(n) = -11*n**3 + 4*n**2 + 17*n - 63. Let j(r) = -2*c(r) - 5*i(r). Give j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 758 - 715.92. Let w = 42 - u. What is w rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o + 2. Let p(v) = -5 + 4 + 5*v - 1. Let u(k) = -6*b(k) - 5*p(k). Differentiate u(h) with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130964.7l in millilitres?\nAnswer: 130964700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*r + 5*g + 136, -3*g = 0. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**9\/4320 - v**6\/48 - v**5\/15 + 15*v**2. Let j(b) be the third derivative of w(b). Differentiate j(s) wrt s.\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqi when three letters picked without replacement from xiixxiqixxxqxx.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (4 - 3 - -2). Suppose 0*i + a*i = -l + 13, 2*i = 2*l - 2. Suppose l*k + 0*k - 749 = 3*p, 3*p - 287 = -2*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - -138. What are the prime factors of x?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202200020210 (base 3) in base 6?\nAnswer: -12420033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1156*z - 4320. Determine f(-4).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 235*d**2 + 2*d - 6. Let o(l) = 157*l**2 + l - 4. Let z(s) = 5*k(s) - 7*o(s). What is the units digit of z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*d - 5*d - 4, 6*d - 20 = -j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 13517990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 15) to base 6\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 9:42 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*m**5 + 6*m**5 + 27*m**5 + (22 - 33 - 45)*(5*m**4 + 2*m**5 - 5*m**4).\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1\/(1 - (-200)\/(-205))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -271428*r + 1 + 280366*r - 1 in the form j*r + u and give j.\nAnswer: 8938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -429249 and -87.\nAnswer: 37344663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12046 is divided by 2006.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/9)\/((-1)\/(-3)). Let t be 23 + 2 - (b + -1). Let v = 866 - 863. What is the greatest common factor of t and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 9*w + 2. Let a(y) be the third derivative of -y**5\/30 + 5*y**4\/24 - y**3\/6 + 11*y**2 - 2*y + 114. What is 11*a(b) + 6*r(b)?\nAnswer: -4*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16260059 divided by -6?\nAnswer: 16260059\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -24. Let k be -2 + (-58422)\/(-8) + t\/12. What is k rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*v - 12 = 0, 64 = 2*y + 116*v - 113*v. Solve 52\/3*d**3 + y*d**2 + 4\/3*d**4 + 124\/3*d + 40\/3 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 6:48 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3013321 - 1121?\nAnswer: 3012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34144132.\nAnswer: 2, 11, 776003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*n + 8, 3*n = -2*z - n + 4. Let k(f) = -11*f + f - 8*f**z + 10*f. Let b(v) = 11 + 3 - 14 + v. What is b(k(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1475*b**4*y + b**4 + 15246*b**3*y - 13*b**2*y - 5081*b**2 + 14*b*y + b - 3 wrt b.\nAnswer: -35400*b*y + 24*b + 91476*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34536634 (base 7) to base 10.\nAnswer: 3034840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/8)*l*(l\/(l\/l**(-3\/4)*l*l*l))\/l)\/((l**(1\/4)\/l)\/l)**(-2\/71)*(l*l*l**(3\/7)\/l*l\/(l*l\/l**0*l*l)*l)**(-7) assuming l is positive.\nAnswer: l**(327\/568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -932868?\nAnswer: -3731472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4765.7729 to the nearest integer.\nAnswer: 4766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9786 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**2\/2 + 16. Let a(x) = -x. What is t(a(s))?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117770*j**2*p**2 + 2*j**2*p - 7*j**2 + 8*j*p**3 - 3*j*p + 1342*j - 2*p**4 - 5*p - 1 wrt p.\nAnswer: 235540*j**2 + 48*j*p - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 414*v**5 - 34*v**4 + 2*v**2 + v + 9467 wrt v.\nAnswer: 24840*v**2 - 816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 35*n**2 + 44*n + 48. What are the prime factors of k(36)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let k(h) = -6*h. Let t be k(1). Let b be t*((-3)\/(-6) - 1). Let y(o) = b*o - o - o. Give x(y(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189820 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*d, -d - d + 2*k - 2 = 0. Let h be 1 - 8\/(-4) - d. What is the third biggest value in h, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 6840 = -6104. Let p = -65 - -70. Suppose -n - 717 = -p*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 16*v**2 + v - 9. Let d be t(16). Suppose -2*h - d = -25. Calculate the remainder when 34 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*a + 6, -4*a + 3 = z - 9. Let y = -3 - z. Suppose 3*i + 21 = -5*w + 2*i, -2*i + 6 = -2*w. Put w, y, 4 in descending order.\nAnswer: 4, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 + ((-994)\/(-18))\/(-7).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1)\/((-7)\/14). Put -1, g, 13 in decreasing order.\nAnswer: 13, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/((-28)\/(-35))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126176*-3.9.\nAnswer: -492086.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(4\/(-72)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -8986, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.8 (b) 0 (c) -1\/19 (d) -6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3474 (base 12) to base 2\nAnswer: -1011011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -27, -15766\/3, -1?\nAnswer: -15766\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v + 288 = -26*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-30)*y*y)**(-2\/5) assuming y is positive.\nAnswer: y**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 197 - 159 = -2*d + 2*s, -5*d + 3*s - 50 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g - 2589 = 3042 - 1627 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 361236 - 168089. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870517638 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 479450, 479451, 479452?\n\"Answer: q + 479449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -620 (base 8) to base 4\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 39382 = 4*m - 7*d, -m = -d - 9845. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 7*o - 4. Suppose -11*f - 36 = -12*f. Let p = 30 - f. Determine l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81560668.\nAnswer: 2, 7, 23, 89, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 33. Let c(v) = -2*v - 6 - y + 4. Give c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (301*n - 153*n + 40 - 152*n)*(2 - 3 - 1)*(1 + 1 - 4 + (2 - 5 + 1)*(1 + 0 - 3)) to s + t*n and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**3 - 69*n**2 + 246*n + 312 = 0.\nAnswer: -26, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90637 - -137022. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 14*u**2 - 19*u - 31. Let a be p(-12). Suppose -21*t = -2690 + a. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359687770.\nAnswer: 2, 5, 13, 331, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4338 + -65131\/15. Let w be (-8)\/2 - (-5)\/15. Let r = o - w. Which is the nearest to r? (a) 3 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1263*u + 2795. Calculate q(1).\nAnswer: 4058","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.1, -2\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 132\/(-7)*21\/(-2). Suppose -136*x + 130*x + n = 0. What is the greatest common divisor of x and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 1 = 2*t. Suppose 10 = -2*g - 8. Are g and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 8*p**2 + 350*p - 3233. Determine i(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {i: 7, p: 1, j: 5}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 104*l + 20282. Determine h(-195).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 93.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 369 - -544. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -0.06323072?\nAnswer: -0.16323072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o**2 + 11. Let l be q(0). Let y be (-24)\/3*(385\/28)\/(-11). Let c be 6\/(-2) + 80\/y. Solve -l = 3*s - s + g, 3*s + 34 = -c*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 d when four letters picked without replacement from {b: 5, d: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 5*c - 3*c)*(-2 + 4 - 1) - 46*c + 119 - 119.\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 0 + 5*j - 27 + 23 - j**2. Let v be t(4). Factor v + 2\/9*d**2 + 4\/9*d.\nAnswer: 2*d*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*sqrt(152)*3 + sqrt(152) - sqrt(152)))\/(sqrt(8) + sqrt(128)*-6 + sqrt(8) + (sqrt(8) - (sqrt(8) - sqrt(800)*-1)))*5.\nAnswer: 375*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 12:42 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-10)\/25 + (-33)\/(-45)). Let m be n\/(-9)*(10 + -7). Find the third derivative of -2*h**3 - 108*h + 25*h**2 + 108*h + 6*h**m wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233 + 711. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7301 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 29872 + 29532 = 0 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66296.38 millilitres?\nAnswer: 66.29638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c - 2. Let m be d(0). Let z(v) = 5*v**2 + 2*v - 2. List the prime factors of z(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306 - -303 - (-52 + 0)) + -5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.6. Let m(q) = 4*q + 4. Let n(u) = u + 1. Let x(d) = m(d) - 5*n(d). Let t be x(-4). Sort t, -0.2, p in increasing order.\nAnswer: -0.2, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 3. Let x be d(0). Let r be (49\/(-98))\/((-1)\/((-28)\/x)). Factor 0 + 0*a + 4\/3*a**2 + r*a**3.\nAnswer: 2*a**2*(7*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -k + 5*k - 2*o, -o + 1 = 0. Calculate the least common multiple of k and (-2)\/(-2) + 10 + 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 10 - 9)*(-3*g + 0*g + g)*(4*g - 4*g + g)*(-2*g**2 + g**2 - 2*g**2).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3376 is divided by 54?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**8\/48 - q**4\/6 + 5*q**2. Find the second derivative of d(t) wrt t.\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 105854*n + 8044896. Determine b(-76).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g + 14 = 0. Suppose -3*u + 2*y + g = -0*y, -2*u = -4*y - 4. What is the third biggest value in u, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*k - 4*g + 1277, 518 = 2*k + 4*g. What is the remainder when k is divided by 117?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.87*0.5\nAnswer: 0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 22*p**2 + 2*p + 1271. Let o(q) = 4*q. Give o(j(f)).\nAnswer: 88*f**2 + 8*f + 5084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w**3 + 51*w**2 + 5*w + 9. Let l(n) = 3*n**3 - 3*n**2 - n - 3. Let i(t) = -5*l(t) - q(t). Give i(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6221315*b**2 + 2*b**3 - 6221315*b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 1. Let w be 15\/(-10) + (-2)\/(-4). Let o be j(w). Do o and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 598 + 599 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j - 5*h - 70, -5*h + 320 = 5*j. Does 36 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9801 is divided by 1654.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*n**3 + 841*n**3 - 424*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z**2 - 5. Let i(s) = s**2 + 1. Let c(l) = -f(l) - 5*i(l). Let j be c(1). What is the units digit of j*8*3\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 44 = 7*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4 + j**2 - 4 + 3*j**2. Let b(d) be the second derivative of 13*d**3\/6 - 25*d + 1. What is b(g(m))?\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301645?\nAnswer: 5, 23, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 3*d**2 - d**2)*(6*d - 6*d + 5*d) - d**3 - 4*d**3 + d**3.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -173188*r. Let a(q) = -2*q**2. Determine p(a(z)).\nAnswer: 346376*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 817 - 815. What is the smallest value in 1\/3, a, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 104 = -57*l + 55*l, 50 = -5*p + 5*l for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*s + 2*m + 41, 2*s + 40 = 4*m. Let g = 22 + s. Suppose -k = -g*k + 385. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 120.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17947 - -23337. Calculate the highest common divisor of 330 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89488 is divided by 1226?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-80462.\nAnswer: -402310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*i - 36*i + 35. Let y = i - 12. Is y*(-12)\/(-90)*7062\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 5064*x**2 + 1537581*x.\nAnswer: 3*x*(x - 1291)*(x - 397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/5 - 114*g**2\/5 - 528*g\/5 - 416\/5.\nAnswer: -2*(g + 1)*(g + 4)*(g + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1)\/v)\/(v*v**2))\/(v**(-4)*(v*v\/v**3)\/v))\/(v**(-6)*v**1*(v*v**1\/v)**23) assuming v is positive.\nAnswer: v**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -545\/14808 + 1414929829\/1495608. Let q = 946 - a. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/((81\/9)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 22 = -215*g + 217*g + 10, 3*g - 16*z = 76 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187176.79 rounded to the nearest 1000?\nAnswer: -1187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 22?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2884\/618)\/((-1)\/(-6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 29008 = 28861 + 102575. Calculate the remainder when t is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 11*g**2 + 24*g + 5. Let i be 12\/9*(4 + -10). Let a be j(i). Let v(d) = -3*d + 1. Give v(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y - 1463 = 1021. Solve -9*d - y = -96 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -2*c**5\/5 - c**3\/6 - 621*c**2. Let d(u) = u**2. What is d(r(z))?\nAnswer: 576*z**4 + 48*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123344, 246685, 370010, 493319?\n\"Answer: -8*f**2 + 123365*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2, -5, 2, 7, 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -933239*s**4 - 7036940*s**2 wrt s.\nAnswer: -22397736*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 21c?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21b2 (base 16) in base 12?\nAnswer: 4baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -97*g**3\/6 + 3*g**2\/2 - g. Let x be j(-3). Suppose -3*w + x = -0*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.1 - 14. Let v = g + 1. What is the closest to v in 4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 k when four letters picked without replacement from kjjjjkkkikjjj.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from wpfpopjrfopjjowwpfr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*f + 1 + f**4 + 97*f**2 - 18*f - 1 - 1 - 99*f**2 + 2*f**3 as u*f**2 + t + a*f**4 + o*f**3 + c*f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 31. What is p in -4\/3 + 2\/3*p**3 - 2*p + 0*p**h = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from wweweeweeeeeeweeeeee.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24354 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2, -3.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8194.996 minutes?\nAnswer: 491699760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 385, 581, 777, 973, 1169?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Let n(u) = 239*u - 2. Determine n(b(x)).\nAnswer: 478*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/107, 638\/5, 1, 2, 3\/2 in descending order.\nAnswer: 638\/5, 2, 3\/2, 1, 2\/107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617700868?\nAnswer: 2, 19, 383, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from ssgssgseyyxxgggsgy.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -210522 less than 0.4?\nAnswer: 210522.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (252\/48 - 6)\/(3\/(-36))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47624 (base 8) to base 7.\nAnswer: -113252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95207 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -665 and 124?\nAnswer: -82460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 12. Let v be o(-12). Suppose -2*l + 6*l - 8 = v. Solve 4*z - 20 = 2*y - 6, -z - y + l = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118b9 (base 12) to base 10\nAnswer: -23757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56544.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(125)) + sqrt(125) + -1 + 5 - (sqrt(125) + (3 + sqrt(125) + 1)**2 - sqrt(125) - 3*(sqrt(125)*2)**2).\nAnswer: -65*sqrt(5) + 1357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2236 + 2236. What is the closest to 1.1 in t, 3, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 y when four letters picked without replacement from nnlnnnlnlylnnll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 11*p**2 - 12*p + 17. Let h(w) = 7*w**2 - 2*w + 8. Let b be h(6). Suppose b = 4*s - 12. Calculate the remainder when s is divided by c(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 16*c - 3*i + 18, -c + i = -9. Solve -w - 1 = -2*z, -4*w = -c*w - z + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2357084\/327 and -7208 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbrrzrzggurruz. What is prob of sequence gg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:35 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 10 = -d. Let b(l) = -l**3 - 3*l**2 + 8*l + 4. What is the remainder when b(d) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**5 + 4063*p**4 - 22*p**2 - 728*p?\nAnswer: 240*p**2 + 97512*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 75069, 300300, 675685, 1201224?\n\"Answer: 75077*o**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 6:37 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, 159 in ascending order.\nAnswer: 5, 10, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69 + 35?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eekk when four letters picked without replacement from ekeekeeee.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -97.\nAnswer: 58\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9670.741 litres in millilitres?\nAnswer: 9670741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11287.96 - 11534. Let k = 246 + j. Sort k, 2\/3, -3, -4 in descending order.\nAnswer: 2\/3, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from bpbbbbppbppbbb?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801381?\nAnswer: 11, 37, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 2. Let r be l(-7). Suppose 2*b + r*v + 14 = -b, 2*v = -5*b + 2. Suppose -b*g - 2*g + 40 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t - 22. Let p(f) = f**2 + f - 3. Let h = -18 - -12. What is the remainder when p(h) is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 2*i**3\/3 - 9*i**2\/2 - 12*i + 4. Let u be g(9). Let n = u + -25. What is the remainder when n is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111018170 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38243\/2868 - -1\/956. Let w = -44 - -47. Find the common denominator of (w\/54)\/((-63)\/(-621)) and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/8157 - 16240\/301809. What is the second smallest value in -3, f, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -26. Let w be (1 + -3)\/((-4)\/(-10)). What is the nearest to 0 in w, s, 0.03?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3003100 divided by -50\nAnswer: 60062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumummm. What is prob of sequence mm?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7031216 and 456.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*h - 22 = -72, -3*i + 15 = 3*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1518887 * -0.4\nAnswer: 607554.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 94605?\nAnswer: 946050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 756796369 to the power of 1\/4, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 10*g**2 - 9*g + 4. Let r be b(9). Suppose 2*o = r*o. Is o >= 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 11455\/(-9) - (-2)\/9. Suppose 13*a = 5*a + r. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43351 + 15240?\nAnswer: -24111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -37313\/22?\nAnswer: -37313\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3066, -6148, -9244, -12360, -15502?\nAnswer: -18676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 331 + -273. Let s(q) = -22 + c - 30 - 6*q. Give s(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**3\/4 - 291*r**2\/8 + 225*r + 2551. Find h, given that y(h) = 0.\nAnswer: -100, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 180107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -131*m**2 - 2. Let g(z) = z**2. Calculate j(g(d)).\nAnswer: -131*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -40.74.\nAnswer: 122.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14871817273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i - 2*i + 42 + 93*i**2 - 37. Is q(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6c6b9 (base 15) to base 13\nAnswer: -c1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Suppose -m - 4 = -0. Let z = p - m. Solve -z = -5*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.3. Let l = 202.322 - 202. Let t = l + 0.078. What is the closest to r in 3, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.578871 to two decimal places.\nAnswer: -11.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (138 - 176) - 112?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -3. Suppose -t*m = -11*m + 252. Suppose 3*r - 4*q = 237 - m, 15 = -5*q. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/60 - 2*q**5\/15 + q**4\/4 + q**2. Find d such that p(d) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -10\/3*r**3 - 38 - 5\/4*r**4 + 0*r**2 + 0*r. Factor f(x).\nAnswer: -5*x**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4))\/(2*8\/(-160)). Suppose -t*z + 32145 = 184645. Round z to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/13*2\/36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 7 + 12 - (-32 - -7 - 15).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72874290 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 + 11*l**2 + 14*l - 10. Suppose 306 = 4*b + c, c + 9 - 11 = 0. Calculate the smallest common multiple of u(6) and b.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/7 + 534*z**3\/7 + 3240*z**2\/7.\nAnswer: -z**2*(z - 540)*(z + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(133)\/sqrt(7) - sqrt(19)) + (4 + sqrt(57)\/sqrt(3))**2)*-3 + (4*(sqrt(3078) + -1*sqrt(3078))\/(sqrt(4)\/sqrt(2)*5))**2.\nAnswer: -105 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 423\/15 - 96\/(-120).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 9:59 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 108696910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + s - 3 = 0, -x - 2*s - 14 = 1. Let f be (-1 - -3)*x\/(-2). Is 6 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g*h*i*y**3 - 4*g*h + 3*g*i*y**2 + h*i*y**2 - 5*h*y**3 + 2*i*y**3 + 3*y**3 wrt y?\nAnswer: -18*g*h*i - 30*h + 12*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*r = 1, 1868*c - 2*r - 5 = 1869*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o - h + 10, 8*o - 5*o + h - 3 = -9*h + 4*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 2)*(-h + 5*h - 2*h)*(-20 - 3 - 26).\nAnswer: -882*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:52 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 = 21. Suppose 3*h + y = 5*h. Suppose 5*t + 4*f = 26, 4*t - h*f - 27 = -f. Solve 0 = -2*s + s + 4*b - 7, 0 = -3*b + t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a = -6*a + 189450. List the prime factors of a.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c**(2\/53))\/((c\/(c*c\/c**(-1\/17)))\/c*c**(-2\/29)) assuming c is positive.\nAnswer: c**(4325\/26129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12343.483478 rounded to the nearest one hundred?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-78)*(-8)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/186 and -17\/4092?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 + 4*k - 2. Suppose 358 = 2*i + 348. What is a(i)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29664 = -78*x + 66*x. Let z = 3498 - x. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2729204 divided by -7?\nAnswer: 2729204\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4682088 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a + 2. Let f be n(5). What is the greatest common factor of 48 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*v + 58953, 712519 - 181756 = 9*s + 5*v. What are the prime factors of s?\nAnswer: 3, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7535, 7588, 7641, 7694?\n\"Answer: 53*s + 7482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/12*(-405)\/(-104). Let p = 1\/1374219 - -2010482189\/285837552. Let i = f - p. Find the common denominator of 143\/36 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2591?\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i + 113. Let a be g(38). Calculate the greatest common divisor of 155 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112484 is divided by 252?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 2\/7, 0, 476, 7, 0.5, -2\/179?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 517.761 + -518. Let l = -0.2389764 - b. Round l to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 4102584060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 7*m**2 + 7. Let y = 101 - 55. Let l = -36 + y. Let j be (l - 6) + 0 + -2 + 4. Let u(k) = k**3 - 3*k**2 + 3. Calculate j*w(q) - 14*u(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388691 is divided by 7632.\nAnswer: 7091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 + 95. Let z = k - -129. Solve j + 2 = -z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 409622 and 1228866.\nAnswer: 1228866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*k**3 + 32*k**3 - 42*k**3 + (k**2 - k**2 - k**2)*(-4*k - 12*k + 10*k) + (-6 - k**2 + 6)*(-2*k - 3*k + 6*k) + 3*k**3 + k**3 - 11*k**3.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(-1 + 2 - 2) - 1 - 1 - 1)*(4 - 2 + 1)*(-2*w + 1 - 1).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n. Let x(u) = 5*u. Calculate a(x(k)).\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1*426 + 4050\/(-225) and 176.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*t = -292, 122 = 3*x - 4*t - 58. Let l be 434\/(-8) + 2\/8. Let v = x + l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1422257778*m**3\/5 - 1405190898*m**2\/5 - 3403136*m - 10240 = 0.\nAnswer: -160\/26667, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)*1*5 - sqrt(9))\/(sqrt(3) - (sqrt(3) - -2*sqrt(432)) - sqrt(3)) - (sqrt(168)\/(-2*sqrt(8)))\/(sqrt(7) + 5*sqrt(7)*-1))**2.\nAnswer: 9747\/40000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v + 3866 - 26756. Suppose 4*s + u - 256 - v = 0, -3*s + 1345 = 5*u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 3*d**2 - d + 2. Let f be (-1)\/1*12\/(-3). Let g be n(f). Let t = 30 + g. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1572, 3134, 4684, 6222?\nAnswer: 7748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 453.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 0*i**2 + 0 - 4\/21*i**7 + 0*i**6 + 0*i**5 - 5*i + 0*i**3 - 2\/3*i**4. Find the third derivative of z(m) wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429 and 221507.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -47. Let g be ((-72)\/(-21))\/((-10)\/l). Suppose -p - 5*f + 28 = 0, 4*p - 88 = -4*f + 88. Calculate the greatest common factor of g and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8674 - 43117\/5. Let o = u + -51. Let a = 75.63 - 75.6. Are o and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from gffzggszzf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3, 2*x + 2*o + o = 3. Suppose x*k + 8 = 59. Solve 5*c - 3*z = -k, 3*z + 4 + 3 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 15 = -n, -c + n + 2 = 1. Find the third derivative of -3*s**2 - 3*s**4 + 4*s**4 + 2*s**c wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/14)\/(f\/f**(-6)))**50)**37)**(26\/9) assuming f is positive.\nAnswer: f**(-2332850\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 1 w when three letters picked without replacement from {w: 4, u: 1, a: 2, x: 2, r: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.82, 0.05, -0.11 in descending order.\nAnswer: 1, 0.82, 0.05, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -25. Suppose f*x = 10*x + 1296. Suppose -5*n = -296 - x. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 10*t - 96. Determine c(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 185066 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.995 and -1.\nAnswer: -4.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 - 89. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 169*g**3 + 2*g**2 - 2*g - 1. Is 6 a factor of s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -61 (c) -3 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 3*c**4 - 2*c**3 + c**3)*(2 - 2 + 2*c).\nAnswer: -6*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -15*p + 18. Give b(9).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.41297 - -1.407. What is c rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/35)*u**(2\/19)*(u**3)**(5\/8) assuming u is positive.\nAnswer: u**(10839\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*u + 4 = 0, 2 = u + 1. Solve -7*o = -q - 2*o + 7, 0 = g*q + o - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.911482g in tonnes?\nAnswer: 0.000005911482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/5)\/((-16)\/120). Suppose -x + 3*s + 339 = 114, -d*x - 4*s = -740. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.1. Let q(t) = -t**2 + 27*t - 186. Let p be q(14). Let i = 2.5 - 0.5. Which is the closest to 1? (a) n (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -2, 31.8 in increasing order.\nAnswer: -82, -2, 31.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -21235165.37 to the nearest 1000.\nAnswer: -21235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = c + 7 - 4, -3*g - 4*c + 16 = 0. Suppose 2*s - 1 = -4*f + 15, g*f = 2*s. Let k(o) = -o**3 + o + 9. Let j be k(0). Solve -1 = f*r + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s + 2*s)*(3*s + 3 - 5*s - 2).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3 - 1690*t**2 + 1986*t - 284.\nAnswer: -2*(t - 1)*(t + 142)*(6*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 480163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-1) - (-5)\/40*-24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 4*j**2 + 118*j - 619. Let p be g(5). Let a = -1 - -1.02. What is the second smallest value in -5, a, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 389 = -59 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 908*x**3 + 0 - 7095\/2*x**2 - 1089*x - 56*x**4.\nAnswer: -x*(4*x - 33)**2*(7*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 99.1. What is the biggest value in -0.3, 3\/2, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3088047021717 and 0.\nAnswer: -3088047021717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/440763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2 - 9*p**2 - 2 + p**3 - 1 + 8*p. Let x be f(8). Let b(t) = -2*t - 4. Let q(o) = 2 - 6 + 3. What is x*b(z) + 6*q(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 = 5*v, 3*v - 2*m - 5 = 2. Let t = 0.13 + -0.3. Let u = t - -0.17. What is the third smallest value in v, -1, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(78)*-1)\/((sqrt(126)\/sqrt(3))\/sqrt(7)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 28 = 4*k, 5*k + 13 = -3*g. Solve -12 = g*n - 2*d, 2*n = -d + 4*d + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:51 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = 2*x, x + 5*f = -21 + 17. What is the fourth smallest value in -1, -0.14, -0.3, x?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.3 (c) -24\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 43*x**2 + 1 - 53*x - 25*x + 96*x**2 - 14*x**2. Is s(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252628885.\nAnswer: 5, 349, 144773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2 - 4*z - 6. Let j be l(3). Let v = 39 - j. Let m be (-10)\/(-12)*v\/40. Which is the second smallest value? (a) m (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 8*j**2 + 8*j - 3. Let g be s(7). Suppose -2*r + 4 = -4*i + 2*r, -31 = -g*i - 3*r. Suppose -i*w + 6*w = 20. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 858310 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 221073\/5 or 44216?\nAnswer: 44216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.27 + -0.61. Let z = -0.3422 - t. What is z rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*3.3.\nAnswer: -250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 234.9? (a) -1 (b) -71 (c) -4\/5 (d) -3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -4, 0, -47 in ascending order.\nAnswer: -47, -27, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*p - 2*p + p)*(4*p - 3*p - 3*p) + 2*p + 3*p**2 - 2*p)*(4445*p + 43 - 2 - 41) in the form k + v*p**2 + j*p**3 + r*p and give j.\nAnswer: 22225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -419*a - 498*a - 365*a + 172*a + 181*a as z + p*a and give p.\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6425406m?\nAnswer: 642540.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 5, y: 1, m: 5, z: 8}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 - 1.3. Let o = -2 + b. Let f = o - 4. Put 1, 5, f in decreasing order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-15) + 494\/3. Calculate the highest common divisor of 82 and n.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:41 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = -2*g + 159, 0*k - 6 = -k - 4*g - 33 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/468*3\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -336.97 + 338. Let h = y - 0.03. Let o = 6 + -6.3. What is the nearest to h in 3, o, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 3. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -331817\nAnswer: 331825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -10. Suppose -2*p - 2*p + 1 = n, -4*n - 5*p = -t. Calculate the remainder when 16 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37, -59, -107, -193, -329?\n\"Answer: -2*x**3 - x**2 - 5*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2886*m**2 + 80630*m - 17325806 with respect to m.\nAnswer: 5772*m + 80630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/63)\/(4\/(-14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - ((-17000)\/306 - -12)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1035 + -17769\/17. Let m = 411\/85 + q. Let n = 5747\/55 - 532\/5. What is the common denominator of n and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96730 at most -96729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -6 + -3 + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/10 + f**4\/4 + 5*f**3\/6 - 25*f**2. Let g be y(-3). Is (3 - (-3 - -6)) + -1 + g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-29 - (-17 + 5)) - 16 - (2 + 1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-33)*a*a)\/(a*a*a\/a**33) assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + z**2 - 199*z + 64*z + 4*z**2 - 4*z**2 to the form v*z + y*z**2 + o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(4)*-5)\/(sqrt(10)\/sqrt(2)*1) - (((sqrt(45) - (-1 + sqrt(45)))**2 - sqrt(45)) + 5)*-1.\nAnswer: -8*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4 = -8*i + 2*y, 2*y = -3*i - 16. Find the common denominator of (3 - 165\/27)*(i + 3) and 73\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**9\/15120 + j**7\/2520 - 7*j**4\/4 + 2*j. Let z(c) be the third derivative of q(c). Let z(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 1, -1, 11.\nAnswer: -5, -1, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 772?\nAnswer: 1080.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5084 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*z - 5*h, 13*z - 8*h + 45 = 25*z - 13*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/10197138 and -11\/16.\nAnswer: 81577104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 27 = 5*f, -12 = -3*f - i - 0*i. Let g be (f*-1)\/(3\/(-10)). Let m(b) = b**3 - 11*b**2 + 11*b - 8. Let o be m(g). Solve 3*a - o*a - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.6889 in 4, -2\/5, -0.09, -1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 33.\nAnswer: 49\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 34. Let b be y\/(0 + 12\/8). Suppose b*z - 10 = 14. Does z = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + o + 3*o)*(5511 - 11446 - 8441 - 5198 + 83) in the form p*o + j and give p.\nAnswer: -19491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + w - 1. Let s(y) = 4*y**2 + 9. Give -2*m(r) - s(r).\nAnswer: -2*r**2 - 2*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -461*x + 647*x - 450*x + (2*x - 1 + 1)*(1 + 0 + 1) + 11 - 11 - 6*x.\nAnswer: -266*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 31. Suppose -3*b + 4 - s = 0. What is the remainder when 12 is divided by 3*7*(-1)\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooc when three letters picked without replacement from {o: 3, c: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 369199.\nAnswer: -13\/369199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567829 is divided by 273.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/47740 and 121\/952.\nAnswer: 1623160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2295 is divided by 2274.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244239\/(-6783) - -37 - (14 + -13).\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**6\/s)*s**(-6\/31)*s assuming s is positive.\nAnswer: s**(-99\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 180311391 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 3. Let g be v(-20). Suppose -5*l - 3*q + g = 0, 2*q + 1 + 9 = 3*l. Suppose -l*h + 84 + 0 = 0. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 595 by 7.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f. Let m be (-2)\/12*-3*f. Suppose 2*h + 2*h - 72 = m. Solve w + 4 = t, 3*w + h = 2*t - w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 516 = 7*l. Let g = l - 260\/3. Let p = -5.3 + 1.3. What is the third smallest value in p, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5380 - -5296. Are -85 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*j**3 + 22\/3*j**2 + 70\/3*j + 50\/3.\nAnswer: 2*(j + 1)*(j + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 20 - 8. Suppose 5*b - 110 = -3*r, -z*r + b + 132 = 4*b. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15592 - -9480. Let t = -6151.781 - k. Let z = t + 40.1. What is z rounded to 2 decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8823536*h**2 + 1492*h - 3190 wrt h.\nAnswer: -17647072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18025862 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggss when four letters picked without replacement from sgkgkkgkkkkskkkkkggk?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 0.2 (b) 7 (c) -28.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -443*h**2 - 13*h - 16*h - 445*h**3 + 29*h + 118*h**3 wrt h.\nAnswer: -1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddww. Give prob of picking 1 d and 1 w.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -751, -1132, -1513, -1894?\nAnswer: -2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147876.\nAnswer: 2, 347, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -4\/3, -1, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.693 minus 0.17738807927?\nAnswer: -0.87038807927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3 + -2)\/2)\/((-2)\/272). Let h = j + 60. Let a(n) = n**2 + 6*n - 6. Calculate a(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65142176 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(1\/2))\/y)\/y)**(-25))**28 assuming y is positive.\nAnswer: y**1050","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140956 is divided by 70342?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 436 + 464. Let b = -6 - -4. Let i be f\/b - (-3 - 0). Solve 0 = -4*t + i*k - 22, -5 = -4*t - 2*k - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10865, 11036, 11257, 11528?\nAnswer: 11849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17951683213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62187795 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: Simplify (4 + 1 + sqrt(5)*-3 + 3)**2 + (-4*(sqrt(500) - (sqrt(500) + -1)) + 5*(sqrt(500) + 0))**2.\nAnswer: -448*sqrt(5) + 12625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*20\/8*-1. Solve 3*c + y = -3*y - f, -y + 3 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.028 * 239.2264\nAnswer: -6.6983392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**2 + 8*m**2 - m**4 + 2*m**3 - 4*m**3 - 4*m**4 in the form z*m**3 + s*m**2 + i + a*m + x*m**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26245?\nAnswer: 5, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = 4349 - 4283 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -359*u + 2196. Calculate c(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 103. Let r(c) = c**2 + 24*c + 125. Let g be r(-7). Suppose 43 = g*t - z. What is the greatest common factor of t and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*b + 20 = 0, 5*t - 19*b + 16*b = 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -932 less than 0.22?\nAnswer: 932.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*p - 871 - 395 = 0, -3*p + 312 = y. Calculate the least common multiple of y and 6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 s, and 1 h when four letters picked without replacement from wwwkwhwwwhwykwswywk.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120221012 (base 3) to base 12.\nAnswer: 34a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 4*w + 7. Let z be -2 + (-3 - (-12 - -1)). Let q be v(z). Let k(a) = 9915*a - 4965*a + a**3 + 3*a**2 - 4953*a + 4. Determine k(q).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76151 and 143872?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 3*u - 15, 5*u = l + 894 - 898 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20879 is divided by 240.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 20*a**3 - 305708*a**2 + 89010944*a\/5 - 1298314928\/5 = 0.\nAnswer: 146\/5, 15227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104666983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 + -1. Let d = -0.3 + s. Let u = -79 + 76. Is u greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -1\/2*v**4 + 0*v**3 + 3*v**2 - 6 + 0*v. What is the second derivative of n(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95487 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - h)*(-379 - 45*h**3 + 379 + (2*h**2 + 0 - h**2 - 3)*(-7 + 7 - 2*h)).\nAnswer: 47*h**4 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/7 - 288*r\/7 + 10368\/7 = 0 for r.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0*n + n**2 - 2 - 4*n - 2*n. Let o be x(6). Sort o, -3, 0 in ascending order.\nAnswer: -3, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 119, 132, 151?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (110\/(-25))\/(4\/(-10)). Let g(y) = -4 - r*y + 26*y - 13*y. Let a be g(4). Solve 0*f - a*t = 5*f + 9, -2*t - 4 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -491 (base 10) to base 8\nAnswer: -753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*f + 31 = -0*d, -3*d + f + 26 = 0. Suppose 0 = -2*y + 5*y. Suppose -d = -q - y*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 22*f**2 - 21*f - 47. Let l be a(23). Let m be (-15)\/(-12)*4 + l. Solve 0 = -u - u + m, -4*q + 5*u = 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100234592 to the nearest integer?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 11*t - 0. Let u(r) = 2*r - 7. Let p be u(t). Let i be 2\/12 - p\/6. Put -12, -2\/5, i in descending order.\nAnswer: i, -2\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)\/t*t*t\/t**(-1\/6))**(9\/7)*((t**(3\/10)*t*t)\/t)\/t*t\/t**(2\/23)*t\/(t**(-1\/4)*t)*t*t**4 assuming t is positive.\nAnswer: t**(-11619\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 796249996 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108702 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/5)\/3*10. Let i = -55\/6 - -703\/78. Which is the third biggest value? (a) -5 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-66))\/(12\/16). What is the biggest value in 0, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020697 to the power of 1\/2, to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3455.6 and -1.\nAnswer: 3455.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -1705619?\nAnswer: -1705611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**6 + 2886*j**4 - 24465*j**2 - 2?\nAnswer: -120*j**3 + 69264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 3*j - 3*j + 0*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7830725 to the nearest integer?\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 9*f + 7\/2*f**2 + 18. Let w be v(-9). Do w and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 1046808084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.53 + 58.17. Round h to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 0 - 0) + (34 - 31) + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*d + 8. Let u be (-19)\/7 + 3\/d. Factor -8\/7*b + 2\/7*b**4 + 12\/7*b**2 - 8\/7*b**3 + u.\nAnswer: 2*(b - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 - -175. Calculate the remainder when 94 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -401129\/1254 - -6040\/19. Calculate the common denominator of -119\/66 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - k - 104 = -4*k, 4*k = 0. Let g = 30 - d. Is 2*(2 - (-574)\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 18 = -2*y, -y + d = -2*y. Let w be (-12)\/(-10)*((-55)\/(-2))\/11. Factor -35*o**4 - w*o + 32*o**4 + 6*o + 2*o**2 - 3*o**y + o**2.\nAnswer: -3*o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -0.1, -0.4, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 28. Sort -5, 2, y.\nAnswer: -5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9.1 (b) -1 (c) -2\/9 (d) 4 (e) 2 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eojm when four letters picked without replacement from oameuaeoomoemjjmmm?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64161736?\nAnswer: 2, 2467, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-24))\/(((-2)\/(-3))\/1) and -23\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 2*r**2 - r - 3. Is l(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*m = 0, 4*m + 7 = 23. Let d = 4 + -3.6. Let n = 0.9 - d. What is the closest to 0 in -3, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7028 + -42313\/6. Let a be (-192571)\/60 + (-2)\/(-3). Let o = -3207 - a. Calculate the common denominator of x and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 60. Let x(t) = l*t + 18 - 2*t**2 + t**2 - 9*t. Is 39 a factor of x(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -7. Let u(v) = 155*v + 11*v**2 + 4 - 157*v + v**3 + 6. Let x be u(j). What is x rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.051599777536 and -0.3?\nAnswer: 0.248400222464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01942246 rounded to four dps?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-13 + (11 - 7 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 61, 41, 1, -65?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13062 - -13065. Let w(o) = -15*o - 2. Let i(y) = -5*y - 1. Give h*w(j) - 8*i(j).\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -161 - 158 + 45*t**2 + 320 + 4*t in the form d*t**2 + k*t + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t + 21*t - 162 = 0. Let b(r) be the first derivative of -8 - 1\/6*r**2 - 1\/9*r**t + 0*r. Factor b(j).\nAnswer: -j*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 17*s**2 - 18*s - 19. Let v be z(-16). Suppose 2*o = 2*h - v + 39, o - 43 = 4*h. Which is greater: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.74 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.02911 * -5724.7\nAnswer: -166.646017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/8)\/((-17)\/1190). Solve -15 = -38*c + t*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 + 4*g - 1. Suppose -s - s - 2*n = -6, n = s + 1. Let a = s - -4. List the prime factors of z(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 5*n**2 - 2*n + 2. Let j be d(2). Let x be (-8 + 464\/60)\/(j\/(-5)). Which is the closest to x? (a) -1\/8 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1238 - -20. Suppose z = -v + 3*v. 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 3:33 PM and 1:20 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/6828682 and 103\/210.\nAnswer: 102430230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 80*y**3 + 5*y - 6. Let i(c) = -81*c**3 - 4*c + 5. Give -4*d(a) - 5*i(a).\nAnswer: 85*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -8. Suppose a = -4*u - 10. Is u < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72420341.\nAnswer: 7, 10345763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 5*l**5 - 4*l**5 + (0*l**4 - 2*l**4 + 0*l**4)*(-l + l + 2*l) + 7*l**5 + 4*l**5 - 2*l**5.\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 4*d - 2. Let s be k(4). Let x be ((-2)\/(-3))\/s*-15. Let j be 0*((-20)\/45)\/((-44)\/(-33)). Solve h = -j*h + x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*h**5 - 2*h**3*p - 2*h**2*p + 92*h*p wrt h?\nAnswer: -1440*h**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104*c - 80 = -9*x + 4*x - 1106*c, -c - 1024 = -64*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 47 + 311 = 0. Calculate the remainder when 82 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-68)\/153*(-810)\/4 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/5 - 20*f**3 - 738*f**2\/5 - 1172*f\/5 - 107.\nAnswer: (f - 107)*(f + 1)**2*(f + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6889591176.\nAnswer: 2, 3, 13, 367, 60169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39172 - 21272. What are the prime factors of o?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232574316 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/(-651)*21 + -23?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5391.434 decades?\nAnswer: 53.91434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2135.289 to the nearest 10.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 0*j**2 - 4*j**2)*(16 + 19 - 5).\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 + 16. Suppose 2*v = 6*v - l. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-26) + (-475)\/(-130). Let v(o) be the second derivative of 2*o + 1\/6*o**3 + 0 - i*o**2. Determine v(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3\/19 + 26*q**2 - 16352*q\/19 - 1918440\/19 = 0.\nAnswer: -45, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + -5 + sqrt(242) + -1*sqrt(242) + sqrt(6)\/(sqrt(3) + sqrt(27)) + -4))**2.\nAnswer: -234*sqrt(2) + 12177\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 5, 5009, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 243\/(-2)*(-20)\/(-3). Round c to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -4, -324.\nAnswer: -324, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1668 and -121.1185.\nAnswer: 1546.8815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 5093?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 >= -3262\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 - 221. Let o = z - 13\/2. Let f = 0.6 + 0.4. What is the closest to f in -0.2, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 6. Let a(z) = 9*z**3 + z. Let n be a(1). Let q be 44\/10 + n\/(-25). Give k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 617287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -46*a**2 + 92*a - 22. Let c = 87 - 85. Let k(t) = 91*t**2 - 184*t + 45. Let h(z) = c*k(z) + 5*r(z). Factor h(p).\nAnswer: -4*(3*p - 5)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 19*f. Let n(w) = -51*w**2. Give n(c(j)).\nAnswer: -18411*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkjj when four letters picked without replacement from qnqqqknj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.2, 2\/9, 17, 924\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -8*c**2 + 0*c**4 + 0*c**3 - 46 + 0*c + 8\/5*c**5. What is the second derivative of l(k) wrt k?\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1. Let w(k) = -22*k + 32. Let m(c) = 6*j(c) + w(c). Let z be m(1). Solve 28 = -4*r - z*i, -2*r - i + 3 - 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, n: 1, f: 9, g: 3}. Give prob of sequence ffkg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + 32\/12. Suppose 0 = -j*g - 1660193 - 17139807. What is g rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 8) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300, 670, 10, 16, 4, 5.\nAnswer: -300, 4, 5, 10, 16, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*q + 2 = -4*t, -4*q + 14 = 3*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/20 - f**4\/2 - 5*f**3\/6 - 2*f. Let b be d(-6). Calculate the highest common factor of b and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 + -3 + 9\/6*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkkkkffkkfkffffkffk. What is prob of sequence ffk?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1682 = 778*z + 772*z - 1608*z for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41100, 82177, 123254, 164331, 205408?\n\"Answer: 41077*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 868804068 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -22 + 92. Let m = h - -13. Calculate the remainder when m is divided by (-52)\/(-5) + 4\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {d: 3, s: 5, v: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 10*x + 4. Let j be z(10). Suppose j*w - 56 = -4*w. What is the lowest common multiple of w and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140524472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/1833 - 108179\/14664. What is the common denominator of 5\/774 and j?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1205127 divided by 32\nAnswer: 1205127\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/2)\/(7\/(-14)). Let n(k) = -k**2 + 7*k + 5. Is n(v) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(3) + sqrt(19))**2*5*-1 + 1 + (3*sqrt(152)*-1)\/(sqrt(8) - -6*sqrt(16)\/sqrt(2)) + -3.\nAnswer: -857 - 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 25. Let p(v) = 5*v - 76. Let n(l) = 8*f(l) - 3*p(l). Let u be n(0). Suppose 12 = 2*g - 5*r, 10 = -3*g - 4*r + u. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 26579.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 139*p**2 + 103*p - 2189. Give c(70).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put 15150, -4, 3, -1, 1 in increasing order.\nAnswer: -4, -1, 1, 3, 15150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:59 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*k - 1 = -6, 6 = -u + 4*k. Let n(t) = 206*t**2 + 4*t + 1. Let o be n(u). Suppose 4*s - o - 179 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 3)*6\/(-4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 46\/10 + 8\/20. Suppose -o*a + 10 = -4*a. Let h = -33 + 62. What is the remainder when h is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*r = 358*r + 14616. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -58 - 10 + 7*v**2 + 16 - v**3 - v**2 - 14*v + 12*v**2. Give t(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*b**2 + 343*b + 4 = 0. Calculate b.\nAnswer: -1\/86, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 452 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80572 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 97507344 divided by -161436\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5135 - 6?\nAnswer: 5127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*y - 1)*(-3 + y + 6 - 1).\nAnswer: 5*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6325822cm to micrometers.\nAnswer: 6325.822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -4. Let r be (n - -1)\/(7\/(-329)). Suppose o = 3*w - r, 11 + 26 = 3*w + o. Calculate the highest common factor of w and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = -0*v. Let b be -15*((-1)\/v)\/(115\/(-69)). Solve -4*g - b = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**5\/10 - k**2 + 123*k + 4. Let o(h) = -3323*h. What is w(o(q))?\nAnswer: -66253974*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*k + 50, 5*o = 2*o + 3*k + 123. Suppose -2*c - o = 2*c - 5*g, 11 = -c + g. Let y(l) = -l - 11. Determine y(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344419270 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 49*v - 49*v)*(-29 + 7 + v - 6).\nAnswer: -2*v**4 + 56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44084 at least as big as 43665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5661, -5843, -6025, -6207?\n\"Answer: -182*f - 5479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(128)\/sqrt(4)) - (4*(sqrt(13) + (sqrt(13) - sqrt(208))) + -3))**2.\nAnswer: 99*sqrt(13)\/2 + 14301\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51895930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69704, 69687, 69614, 69455, 69180, 68759?\nAnswer: 68162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -287, -269, -253, -239, -227, -217?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4586394?\nAnswer: 2, 3, 764399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2629, 2195, 1755, 1309, 857, 399?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**4 + 88460*j**3 - 1149305*j**2 + 3005190*j + 4242960 = 0.\nAnswer: -1, 6, 8, 17679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.06 - -14.16. What is the closest to 2 in 1, -12\/7, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 505 - 129 + 10*y**2 - 119 - 134 - 131 to o*y + r + u*y**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -46419 times -0.4?\nAnswer: 18567.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7))**8\/(o*o*o*o\/(o\/o**0*o))**(-44))**4 assuming o is positive.\nAnswer: o**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.157 - 1.843. Do -0.573 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, 7, -1, 48 in decreasing order.\nAnswer: 254, 48, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8264680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -54.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 5*q + 20, 25 = 5*q. Solve a = v*b + 16 + 2, -5*b - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032897 rounded to 7 dps?\nAnswer: 0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 655.\nAnswer: 7\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579*d + 1581 = -582*d. Let m = d + 791. Does 33 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-68) + (-1)\/((-16)\/6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1784, 5667, 9550, 13433, 17316, 21199?\n\"Answer: 3883*z - 2099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -4*r + 2*a + 27000, 0 = 5*r + 2*a - 33741. Suppose 5*d = -2*j - 8450 - 2802, -3*d - r = -3*j. Round d to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)\/r*r*r**(4\/13))**(-14\/9) assuming r is positive.\nAnswer: r**(2128\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdlvldvv. Give prob of sequence ddll.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i + 10. Let y(r) = 2. Determine b(j) - 3*y(j).\nAnswer: -j**2 - 3*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0081807 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 0 + 0 + 0 - 2. Determine n(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 24. Let q be a(30). Let u(l) = l**3 + 4*l**2 + 3. Let n be u(-4). Suppose -q*d + 9 = -n. Solve w + d*w + h = 6, w = -3*h + 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -90*r**2 - 28*r. Let w(x) = x**2 - 2*x. Let z(s) = -4*w(s) + y(s). Find the second derivative of z(q) wrt q.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 4*b**6\/3 - 2*b**5\/5 - 11*b**3\/3 + b**2\/2 + 65. Find the third derivative of d(f) wrt f.\nAnswer: 480*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = 5*x - 26*x + 7*x - 246 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -165*n**2 - 4*n - 4. Let l(k) = 160*k**2 + 4*k + 3. Give -3*c(w) - 4*l(w).\nAnswer: -145*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17007187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 29*j - 76. What are the prime factors of v(12)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -256*w**2 + 61*w + 61. Let h be k(-1). What is the common denominator of -1 - (1 - (-16)\/9) and h\/12*1\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 844*t**3 - 841*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 20*j**2 - j. Let y be z(-1). Solve -9 = 2*o + 3*p + 4, -4*o - y = 5*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)\/p)**(-5\/14)*p*p**5*p*p\/(p\/(p\/p**(-1))) assuming p is positive.\nAnswer: p**(927\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379917564?\nAnswer: 2, 3, 13, 17, 143257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923 is divided by 256.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6.03. Let q = t + -0.022. Let x = q + -0.538. What is x rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27524, -54738, -81952?\nAnswer: -109166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:21 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*x + 392*x + 3745 + 1595 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 5616322*q - 157258584.\nAnswer: 2*(q - 2808189)*(q + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 3*f + 5, -3*f = 5*z + f + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.48\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 702 and 11115?\nAnswer: 66690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(900) + sqrt(900)*2 + sqrt(900)) - (1*sqrt(192) + sqrt(15)\/sqrt(5) + -4).\nAnswer: -359*sqrt(3)\/40 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*h - 10 = 0, -24*p + 10 = -26*p + 2*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056112163 rounded to 6 dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2031*t**3 + 7580.\nAnswer: 6093*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 8*d + 9. Let g be k(2). Let x = 26\/5 + -5. Sort -1\/3, x, -3, g in increasing order.\nAnswer: -3, -1\/3, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -8. Suppose -g + 175 = -5*u + 35, -5*u + 4*g = 155. Let d = u + f. Solve 2*j + 3*j - 15 = d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/78 and 51\/77.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342895, -342896, -342897, -342898, -342899, -342900?\nAnswer: -342901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 600\/5678 - (-5186)\/433031?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 111213 (base 4) to base 2\nAnswer: 10101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -141, -466, -1099, -2142, -3697?\n\"Answer: -17*d**3 - d**2 + 3*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194638 and 2456.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39 (b) -1\/20 (c) 4\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.037 + 6.037. Put -4, 0.2, -5, o in decreasing order.\nAnswer: o, 0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -10. Suppose 6*d + 87 = i. Let v(j) = j**3 + 16*j**2 + 14*j - 11. Is v(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2460, 4930, 7400, 9870, 12340, 14810?\n\"Answer: 2470*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**2*w**3 - 148*r*w**3 - 1037*w**3 + 2*w wrt r.\nAnswer: 4*r*w**3 - 148*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.2, 182, -90\/2327?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 6 = -4*c, 5214*a - 5217*a + 24 = 11*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12771358 less than 1?\nAnswer: 12771359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2*1 - (9 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 less than 1987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7151?\nAnswer: 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1668036980688 and -0.2.\nAnswer: 1668036980687.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 + 15\/2*b - 5\/2*b**2.\nAnswer: -5*(b - 2)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 222*x**3 - 447*x**3 - 3*x + 220*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 40 = -2*s. Suppose -2*z + s = -2*x, 0 = 3*z + z + 3*x - 13. Solve -z*w = -p + 2, -4*p - 1 + 9 = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6536 and 5719?\nAnswer: 45752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 11. Suppose r - 2 = -b. Suppose 6*q = r*q + 268. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -4\/3 (c) -0.5 (d) -0.2 (e) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 10000000111001011001?\nAnswer: 10000000111001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**2 - 2945 + 1477 + 1468. Let r(v) = 2*v**2 + 11. What is r(b(s))?\nAnswer: 242*s**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 != -1355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 720591*c. Let f(x) = 2*x. What is h(f(j))?\nAnswer: 1441182*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 20818371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 3, 141?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12282 and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + o - 3*o + (-3*o + 0*o + 2*o)*(1 + 1 - 1) + 22*o - 1303 - 9*o - 12*o to the form u + w*o and give u.\nAnswer: -1303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t - 14. Let i(q) = 4*q - 7. Let r(u) = -5*i(u) + 3*v(u). Let f be r(6). Is (f\/1)\/(2\/(-46)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 103269012*w - 103269012*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*z = 409*z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 - 778*f - 256452 = 0. Calculate f.\nAnswer: -213, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 7:25 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 511 divide 63364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - 2. Let f = k + 13. Let i be (-4)\/6 - 14\/(-210). What is the second biggest value in i, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44628.474 - 40932.26776. Let r = p - 3694.19624129. Let w = -2.01 + r. Round w to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243679 + -164756.2. Let f = 78922.6299987 - t. Let h = -0.17 - f. What is h rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k - 7. Let s be w(7). What is the first derivative of -10*o**2 + 0*o - o + s + o wrt o?\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus -17570190.68?\nAnswer: 17570197.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12330 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = o, 0*o = 3*o. Suppose -3*b + w*j = -3*j + 25, 3*j = 15. Let v be b\/(-5) - 4\/26. Is 1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 38 = 3*v, -3*t - 3 + 6 = 0. Calculate the highest common divisor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 1 - 7*i**3 - 2 - 5*i**3.\nAnswer: -12*i**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 22285?\nAnswer: 22285.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g**3*h + 2*g**3 + 26*g*h**3 + 112*h**3 wrt g?\nAnswer: 12*g**2*h + 6*g**2 + 26*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(605)*2 + sqrt(605) - (-1 + sqrt(125)*2)) + -1)**2.\nAnswer: 39605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 2, q: 2, d: 2, t: 8}. What is prob of picking 1 d, 2 r, and 1 t?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + (-49)\/3)\/((-575464)\/(-30288) - 19)?\nAnswer: 2, 29, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p**2 - 5*p - 2. Let a be d(5). Let s = -7 + a. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r = 563 - 653. Let w(c) = -c**2 + 2*c + 7. Calculate w(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5\/6, -0.2, -32\/19 in decreasing order.\nAnswer: -0.2, -5\/6, -32\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 8349?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -31868.\nAnswer: 12747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-136) - (-42)\/34.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 16*o + 129. Calculate x(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d + 24. Let r(y) = -17*y - 44. Let a(b) = 6*r(b) + 11*u(b). Let c(k) = -32*k**2 - 2*k. What is a(c(t))?\nAnswer: 96*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17814*z**2 + 35633*z**2 - 17818*z**2 + 5 + (-2*z + 2*z + z)*(3 + 21*z + 0 - 18*z).\nAnswer: 4*z**2 + 3*z + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2217 - -2216.7. Which is the nearest to -0.1? (a) 1 (b) -172 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 26781 + 16632 = 189666. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 216232 - -5?\nAnswer: 216237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -38. Let k = -10 + a. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)*b*b*b**(-20))**(-3) assuming b is positive.\nAnswer: b**(207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*q - 245*q = 139*q + 128*q + 10421 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4 - 1) + (-915)\/(-610) + 3\/2)\/(-22). Solve -71\/11*g - z*g**2 + 72\/11 = 0 for g.\nAnswer: -72, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 401 = -13*k - 16. Suppose -g - p = -5, -5*g + 13 = 3*p - 16. What is the second derivative of -i**4 + k*i - g*i - 11*i wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 34 + (9 - -4 - (-12 - -18))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4, 28, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35980205 to the power of 1\/2, to the nearest integer?\nAnswer: 5998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59.2 - -61.2. Sort -2\/11, u, 0.5.\nAnswer: -2\/11, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3425?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3395*n - 5308. What is the hundreds digit of k(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 2:00 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = -20. What is the lowest common multiple of ((-2)\/6)\/(2\/(-66)) and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 5 + 16 = 0. Let q be 4\/v - 13\/((-39)\/12). Solve 3*b - 6 = -q*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3864 (base 13) to base 11.\nAnswer: 200086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-150)\/(-275) + (-186)\/(-22). Factor -42*d**2 + 112*d**2 - 50*d**2 - 4*d**3 + 15*d + j*d**3.\nAnswer: 5*d*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 11*o**4 + 25*o**2 + 6*o**4 - 26*o**4 - 26*o**2 in the form p*o**2 + f + a*o + q*o**4 + h*o**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 5*n - 18*l, -4*l - 68 = 2*n - 74 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/36, 0.\nAnswer: -2, 0, 1\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/3 (c) 0.1 (d) 0.02 (e) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n + 18. Let m be p(4). Suppose 4*a = -5*g, 3*a = -3*g + m*g. Suppose g = 2*u - 4*u. Put u, 10, -4, 3 in descending order.\nAnswer: 10, 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.16, 4.56, -2\/23, -2\/3 in decreasing order.\nAnswer: 4.56, -2\/23, -0.16, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/8*1 - (-15060)\/48 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 + 16*o**2\/3 - 373*o - 378.\nAnswer: (o - 27)*(o + 1)*(o + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41315570, -41315567, -41315564?\n\"Answer: 3*g - 41315573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*s + 49*s + 26*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2627 in -0.18, -3\/8, -1\/4, 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1148, -4668, -10560, -18830, -29484, -42528, -57968, -75810?\nAnswer: -96060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 1511 + 2519. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -1469*g + 1454*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 11*r + 5*y - 27, 3*r - 3*y = -18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 139\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.2 (c) -9755\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 0 - 3384*t**2 + 3410*t**2 + 0. Let b(x) = -6*x**2 - 5*x. Let u(p) = -p**2 - p. Let k(z) = 2*b(z) - 10*u(z). Calculate k(i(h)).\nAnswer: -1352*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6056 divided by -6056?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 21.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41746518 + 26031.\nAnswer: -41720487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -417?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -376*s**2 + 6 + 11 + 377*s**2 + 17 + 22*s. What is t(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 768 and 448?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96.64 and 730.\nAnswer: -70547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5. Suppose 4*y - 2*a - 6 = d, 2*y + 4*a = a - 9. Let s be ((-256)\/40 + 8)*20\/8. Solve -5*f + 6 = -y*o - s*o, 5*f = -10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 5 (c) 2.7 (d) 28\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = 5*m, 29 = 3*m - 4*j + 3. Let f(n) be the third derivative of -n**6\/120 + n**5\/30 - n**4\/12 + n**3\/3 + 3*n**2 + 3*n. Calculate f(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 24 = 3*c, 3*d - 15 = c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11295547, 22591105, 33886663, 45182221, 56477779?\n\"Answer: 11295558*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 + 35*c + 22. Let s be g(-8). Let h = 0.6 - 0.3. What is the closest to s in 0, 0.5, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -9. Let g = 3229 - 3223. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**6\/120 - 13*b**5\/60 + b**4\/24 + 3*b**3\/2 + 42*b**2 - b - 11. Let a(c) be the first derivative of j(c). Determine a(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3 + 170*l**2 - 528*l = 0.\nAnswer: -88, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejjjneuunujuqjuuee. What is prob of picking 1 q and 2 u?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 1380*y - 95220.\nAnswer: -5*(y + 138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 7*h - v + 14, 0 = 4*h - v - 28. Suppose 2*o = 4*o - h. Let z(w) = -o*w**2 - 3*w**2 + 5*w**2 + 2*w**2. Let t(g) = 3*g. Calculate z(t(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k + 111 + 2679*k**4 + 13*k**3 + 1646*k**4 - 13*k**3 wrt k.\nAnswer: 51900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 35. Let a(h) = -2*h + 1. Let m be a(1). Is m at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5993780?\nAnswer: 2, 5, 13, 23053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18456.99 weeks in hours?\nAnswer: 3100774.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 13, 23, 37, 55, 77, 103?\n\"Answer: 2*x**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, n: 4, g: 2}. What is prob of sequence ygyn?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*o + 47 = 7*o, -2*v - 5*o + 85 = 0. Let m be 56\/v + (-4)\/(-10). Let w be (-4)\/(-14) - (m + -2). Is 0 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3050465 and 277315.\nAnswer: 3050465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 1:19 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 3128174 + 11*c**4 - 3128174 - 13*c**3 + 11*c in the form p + x*c**3 + i*c**4 + s*c**2 + g*c and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i - 4, 2*b = -3*i - 9. Suppose 2*u - 10 = -4*f, u = -b*f + 4*u + 12. Solve m - 10 = f*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 22*r + 5. Let l = -48 + 57. What are the prime factors of b(l)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*o + 2*o. Solve -2*h = -o*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**3 + 11*b**2 - 2. Let l(j) be the first derivative of 9*j**4\/4 + 7*j**3 + j**2\/2 - 4*j + 2. Let d(a) = 6*l(a) - 11*v(a). Give d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.97 - 0.47. Sort v, -3\/7, 5.\nAnswer: -3\/7, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 7*y**2 - 10*y + 4. Let i be q(5). Suppose -15 = -i*z + 33. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 33, 55, 97, 165?\n\"Answer: x**3 + x**2 - 2*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 2*z**2 - 3*z. Let g be p(-2). What is the tens digit of 20\/(-70) - (-284)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 38*t + 35. What is the tens digit of z(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-146)\/(-10) - 8\/(-20). Suppose 3*y - g = -0*y. Suppose 0 = 2*l - y - 5. What is the closest to 4 in l, -5, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y - 34 = -48*y. Let d = -114 - -1030\/9. Factor 2\/9*p - 4\/9*p**3 - 2\/9*p**4 + d*p**y - 2\/9 + 2\/9*p**5.\nAnswer: 2*(p - 1)**3*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6\/(n\/n**(3\/2))*((n*n*n\/(n**(1\/3)\/n)*n)\/n*n)\/(n**(1\/2)\/n) assuming n is positive.\nAnswer: n**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150892 is divided by 25094?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14340211 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*z - 0. Solve n = z*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122\/1155 - 41\/165. Let p = -6 - -4. Sort -8, k, p.\nAnswer: -8, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmxxxmxmxx. What is prob of sequence mmm?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1 - 17*a + 5 - 2 + 0*a. Does 8 divide w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/16*(-8)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 48.5. Let d = 43.499999078 - p. What is d rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-12) - -5 - 180\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 4*n**3\/3 + 2*n**2 + 3. Find the second derivative of z(f) wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -73. Solve 0*u - p = 2*u - 2, u - 3*p + 13 = z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 - -2)*(-3)\/(-2). Suppose 18 = k + k - 4*i, -3*k - 3*i = 0. Let y = k - z. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-12))\/(-1*(-1)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 - 832*g\/9 + 86528\/9.\nAnswer: 2*(g - 208)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000106123934 rounded to 7 decimal places?\nAnswer: 0.0001061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513798 divided by -6.\nAnswer: 85633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - n + 0*n)*((0*n**2 - n**2 - n**2)*(-4*n - n + 3*n) + n - n + 3*n**3) as g*n**3 + t*n**4 + u + c*n + y*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/13 - (127772\/(-1768) - -74))*14\/(-18).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031679023.\nAnswer: 3, 11, 31, 1986001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81 - 7?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - 18. Does 8 divide 346\/18 - q\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1295 + -1301.357. Let v = 0.567 + x. Round v to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-120))\/(2\/18)*6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (13659\/(-9106))\/(1*1\/(-10))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 2178 = 55477. Let h = 79703\/18 + c. What is the common denominator of h and 71\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/15)\/(b*b\/(b*b*b**(-21)*b)) assuming b is positive.\nAnswer: b**(-304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggiygylgyggygggrr. Give prob of sequence grig.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13997 + 237948\/17. Which is the biggest value? (a) o (b) 0 (c) 7 (d) 2\/11 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.5 (b) -280\/9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 2, r: 3}. What is prob of picking 1 o and 1 r?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q = 6. Let f(x) = -x - 1. Let r(y) = -y + 6. Let t(o) = -3*f(o) + r(o). Calculate the least common multiple of t(-4) and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942*w = -2377*w + 929*w + 68857 + 41083 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8\/7, -0.1, 0, -2\/627, -4, 8, 3?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*z - l, z - 6*z + 28 = -4*l. Suppose x + m + z*m + 6 = 0, 2*x + m - 6 = 0. Solve i - x - 1 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/4 - 2\/8. Suppose 0 = -0*j - x*j. Suppose w = 2*w - 5*a - 11, -5*a = j. What is the lowest common multiple of w and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 14*h**3 - 9*h**2 + 4*h - 5. Is c(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 1. Let g be 13384\/(-98)*(-14)\/(-4). Let x = -481 - g. Calculate r(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/44 + -97\/132. Let u = -828 - -828. What is the nearest to u in -6, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -43\/21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o + 391*o = 5443 + 2429 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + k = -5, l + 2*k + 1 = k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-15))\/((-3)\/(-45)) + 410\/50.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-165)\/(-18) - 7\/14?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let n = 29 + -32. Let f be (-3 - n)\/(0 + u). Solve -2*y + 2 = -2*k, f*k + k + 2*y - 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -50\/9, -4209 in descending order.\nAnswer: 2, -5, -50\/9, -4209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 12 + 4 + (-5 + 5 - 1)*(2 - 4 + 0))*(0*j - 3*j + 5*j)*(8 + 12 + 1).\nAnswer: 546*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -11.16. Let z = 0.01 + k. Let b = -0.169979 + z. What is b rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5714 - -6.7634554?\nAnswer: 9.3348554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -538.6173 + -116.4?\nAnswer: -655.0173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 7*b**2 + 2*b - 36. Calculate the smallest common multiple of g(-8) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -14 + 23 - 7. What is the highest common factor of 167 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14375559*x**2 - 148629756?\nAnswer: 28751118*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*f**3*t - 2408*f**3 + 508*f**2*t + 4*f*t + 509*f - 13*t - 2 wrt t?\nAnswer: 28*f**3 + 508*f**2 + 4*f - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:06 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-1)\/(6\/152*740\/(-222)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -41. Suppose 0 = 11*j - f - 12. Suppose -5*b - 114 = -j*p, b = 3*p - 3*b - 185. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**4 + 2*n**3 + 4*n - 5. Let y(g) = g**4 - g**3 + g**2 - g + 1. Suppose 27 = -3*p + 21. Let s(o) = p*r(o) - 6*y(o). Factor s(u).\nAnswer: 2*(u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.4 + 7. Let q = w - 0.6. Let r(u) = u**3 + 27*u**2 - 30*u - 68. Let d be r(-28). Put q, d, 1 in descending order.\nAnswer: 1, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 + 227*b - 2573. What is r(24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2323 = -5*d + 2332. Suppose -d = -3*u - 4*a, u - 2*a = -3*u + 1278. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - 183. Suppose -19 = g - j. Suppose -2*r - 3*u - g = -5*r, 4*u = -20. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 17595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 92 = -3*q. Suppose 4*s - 8*y = -3*y + q, 0 = 3*y - 12. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10210640 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 676773, 1, -40 in ascending order.\nAnswer: -40, -4, 1, 676773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*u, 4*u = g - 17 + 26. What is the second derivative of -380*o**3 + 250*o + 380*o**u - 6*o**4 + 0*o**4 + 7*o**5 + 7*o**5 wrt o?\nAnswer: 280*o**3 - 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18*9\/(-1944))\/((-1)\/((-40)\/10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-1)\/2)\/1)\/(3\/(-600)). Suppose 0 = -2*v - 18 + z. List the prime factors of v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by (21\/35)\/((7\/20)\/7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, t: 1, k: 4, j: 2, y: 1}. What is prob of sequence tgk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 304021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (116\/(-145))\/(6830\/(-975) + 2 + 5) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 t when four letters picked without replacement from tutdatttdrtdtdr.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4\/5 - 10112*r**3\/5 + 631964*r**2\/5 + 642072*r\/5 = 0 for r.\nAnswer: -2589, -1, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**(-12\/11)*f**(3\/2)*f\/f**(-1)*f)**(-24) assuming f is positive.\nAnswer: f**(-1284\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/15*(-120)\/(-72)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47223 = 218*k + 403*k + 810*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**3 + 15*g**2 - 28*g - 3. Give l(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 4 = 18. Solve -4*l = -3*i - 29, 5*i + 10 = x*l - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 4:00 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (1 + -4 + 4)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 451, 1000, 1631, 2344, 3139, 4016?\n\"Answer: 41*x**2 + 426*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-5)*-1*(-7010)\/46266?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/24 + (3795\/(-45))\/((-72)\/27)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:07 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018524 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -317085, -317097, -317111, -317127, -317145, -317165?\n\"Answer: -w**2 - 9*w - 317075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24104, -41823, -59542, -77261?\n\"Answer: -17719*x - 6385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-4)*-4 - -98?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 14. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -142, -145, -160, -193, -250, -337?\n\"Answer: -d**3 + 4*d - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 8. Suppose v*r = -4*b - 3 - 9, 3*b = -2*r - 11. Let g = r - -8. Let x(t) = -t + 3. Give x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 90*g + 1028. What is k(10)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33355702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 5*x. Factor -10*h**3 - 3*h**2 + 2 - 2*h + h + 11*h**x + h**4.\nAnswer: (h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5028 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose -5*v + m*p - 21 = 0, 0 = 5*v - 0*v + p + 12. Let i(f) = -3*f + 2. Let g(t) = -4*t + 1. Let j(d) = 4*g(d) - 5*i(d). What is j(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*q + 15 = 3*k, 3*k - 4 = -2*q. Solve k*l = 5 + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 take away -2825751?\nAnswer: 2825749.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3591784*t**3 - 8607529.\nAnswer: 10775352*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1740 = 112*k - 284 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -368247678.3 rounded to the nearest 10000?\nAnswer: -368250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5125, -22034, -67921, -157276, -304589, -524350?\nAnswer: -831049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(7 - 150\/(-12)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42796447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 135\/(-20) + (-1)\/4. Let o(r) = r**2 + 7*r + 1. Let y be o(m). Let u = 36667.5 + -36668. Which is the nearest to y? (a) 0 (b) -7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219 or 278?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111588 divided by -6\nAnswer: -18598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2057 + -10324\/5. Let a = 2\/2641 + 26396\/18487. Calculate the common denominator of a and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78\/7 + -82\/7. Let l(x) = x**3 + 6*x**2 + 4*x - 6. Let o be l(-5). Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/5 or -16.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**5\/20 + 127*b**4\/12 + 247*b**3\/6 - 375*b**2\/2 - 2*b - 4. Solve z(r) = 0 for r.\nAnswer: -125, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 393142403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/181 - 197\/1448. Let m = 9962 - 836831\/84. Let l = m - -1\/42. What is the second smallest value in 1, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23349.945ms in minutes?\nAnswer: 0.38916575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4639\/3 - -1547. Is 102 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 191492884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2 - 551*b - 2107. Determine a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5. Suppose n + 23 = -c*g - g, 4*g = 2*n - 68. Let p = -1 - g. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-2207)\/(-129180)*-478. Let i = h + 2\/10765. What is the common denominator of -51\/2 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -6*r**4\/11 + 354*r**3\/11 - 4188*r**2\/11 - 9840*r\/11 = 0.\nAnswer: -2, 0, 20, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*k = 1687 + 2591 + 1878. Does 67 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653507381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1524*i + 145 - 145 - 248*i + 2*i**2 + 1497*i**5 - 321*i wrt i.\nAnswer: 89820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2.01. Let o be 1*-2*10\/(-2). Let f be 5\/o*(-6)\/15. What is the second smallest value in f, -5, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 100821*w + 100824 = 0.\nAnswer: -1, 33608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 + 6 + (-26 - (-14 + 8)) + -54\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50*f + 15*f - 7*f)*(1 - 1 + 3*f) to the form x + w*f**2 + j*f and give w.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (56\/(-12) - -4)*-21. Is ((-24204)\/24 + -1)\/((-3)\/k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 4432301874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.1, -0.109?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2)*1 + 3. Suppose -i = v - 3, -4*v + r*v - 3 = 4*i. Let l(c) be the third derivative of c**5\/30 + c**4\/24 + c**3\/6 - 3*c**2. Give l(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1725227, 3450467, 5175707, 6900947, 8626187, 10351427?\n\"Answer: 1725240*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 3993342 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.7 - 0.7. What is the third smallest value in a, 2.1, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 12. Let w(x) = -4 + u - 2*x + x**2 - 3*x. Let s be w(4). Which is the second biggest value? (a) 1\/2 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4534 (base 6) to base 13.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3780\/(-112) + (-510)\/(-15)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26782 + 14485. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 39*p**3 - 10*p**2 - 5*p + 11. Let g(s) = 40*s**3 - 8*s**2 - 4*s + 10. What is -5*g(z) + 4*k(z)?\nAnswer: -44*z**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 7*w + 3. Calculate the remainder when 16 is divided by i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*m + 1. Let v = -15764 + 15908. Calculate the highest common divisor of v and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*b - 7 = 3*i, -2*i - b = 3. Let h = 3 - i. Solve h*l + 3 = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - -0.1. Let r = 5.85 + -0.85. What is the closest to 1 in 0.2, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30769889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0\/2) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from mff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -1. Suppose 6 = -o - 3*t, -4*o - 2*t - 2*t + q = 0. Find the first derivative of 2 + o*n - 2*n - 3*n**4 - 4*n wrt n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -57 (b) 7.926 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 39, -38332?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/35))**(12\/5)*y\/y**(-2\/17)*y**(-5) assuming y is positive.\nAnswer: y**(-11958\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104011*l**2 - 410*l + 814*l - 404*l.\nAnswer: 104011*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 603 = 36*v + 33*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 54 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212021 - -10210010?\nAnswer: -10002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2741)\/(-8) + 235\/(-376) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlhi when four letters picked without replacement from {p: 2, j: 6, l: 1, i: 7, h: 1}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1016)\/(-14) - (-60)\/(-105). Let c = m - -40. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4.1 (b) 86 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(2\/5)))\/x**6)\/(x**(2\/13))**(-1\/2) assuming x is positive.\nAnswer: x**(-359\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 61000 - r - 3*r + r**3. Let c be 0\/((-1 - -4)\/3). Let n be i(c). Round n to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1368)\/168 + (-2)\/(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-6))**(2\/41))**(-7\/10))**(-39) assuming n is positive.\nAnswer: n**(-1638\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -b - 19, -o = -b + 21012 - 21031 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1202600 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4}. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187.8 + -352.4. Let p = 165 + z. Let w = 6 + -9. Which is the closest to 1\/2? (a) w (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -0.0289\nAnswer: 0.8092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 488*w + 76. Let l be v(7). Let y = l - 1478. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.6 - -3.6. Let o = 6 + y. Which is the nearest to o? (a) 4\/9 (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 - 7 = 0. Suppose 5*q = 3*q - 10. Which is the nearest to l? (a) q (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13562833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 372 (b) 3\/4 (c) 0.1 (d) -109 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 23. Let o be f(-12). Let c(b) = -6*b**3 + b**2 - b. What is c(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 5:28 AM?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-1221)\/(-3102))\/(-37)*(-196)\/(-98)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 68*w. Let t(s) = -20*s**2 - 6*s - 1772. Give m(t(n)).\nAnswer: -1360*n**2 - 408*n - 120496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:45 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.3 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18803111?\nAnswer: 397, 47363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 53*w**2 - 2*w + 1. Let n be q(1). Let d = -36 + n. Solve 0 = -7*a + 2*a + 3*h - d, 0 = 5*a + 3*h + 34 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - u + 11*u**3 + u.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22326 less than or equal to 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1813 - -1?\nAnswer: -1812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + -3.8. Let y = 5 + r. Which is the smallest value? (a) -3\/7 (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(4\/7)*z)\/z*z**(-12)*z*z)\/(z**3)**(-1\/6))**18 assuming z is positive.\nAnswer: z**(-873\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*289.\nAnswer: 6358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + 2\/(-6). Let c(k) = -5*k**3 - 2*k**2 - 8*k - 7. Let g be c(-1). Factor 0*y - 2\/5*y**g + 0*y**3 + p*y**2 + 0.\nAnswer: -2*y**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 34*r + 41. Let m be c(-14). Let f be (-26)\/39*m\/1. Let i = f + -35. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -88, -92, -98, -106, -116, -128?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 0.3 (c) 2 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9920)\/868*(-1386)\/495?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 42. Suppose 0 = 148*h - 149*h + k. Suppose -2*y + 6 = -0*y. Calculate the remainder when h is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 3. Let x be -1 + 4 + (0 - 0). Determine g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 7*w + 4. Let h be f(-6). Suppose -208*t - 16 = -204*t. What is the second smallest value in t, h, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 925, 1861, 2801, 3745?\n\"Answer: 2*o**2 + 930*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-2*m + 0 + 0)*(-4*m + 3*m + 0*m + (-4 + 3 - 1)*(-5*m + 3*m + m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -869, -867, -863, -857, -849?\n\"Answer: d**2 - d - 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**4)**(-5\/3) assuming d is positive.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 5:26 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 5*j. Let i be r(-4). Let n be (2 - i\/20)*-15. Solve 0 = 3*v - 0*v - 3*g + n, 0 = -3*v + g - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -335*d + 217*d + 113*d. Let i(p) = 974*p**2. Determine i(n(x)).\nAnswer: 24350*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1\/4 (c) -1\/5 (d) 1\/3 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/12*2*-144. Let b be (-3333)\/t + (-4)\/6. Let d = b + 111\/20. Find the common denominator of 16\/11 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 100, 17, 43 in descending order.\nAnswer: 100, 43, 17, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262534614?\nAnswer: 2, 3, 233, 187793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*j - 1908 = 228*j - 5620 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11206413 + 11206413 - 4031*t to u*t + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1156, 2968, 4790, 6628, 8488, 10376?\nAnswer: 12298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385809 divided by -6?\nAnswer: -2385809\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 394 and 580953?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 9. Let u be o(13). Let b(x) = -x - 6. Let n be b(u). Let g be 14*(-1)\/n - 2. Solve 4 - 20 = -q + 5*w, 2*q = g*w + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 10*n**2 - n + 12. Let h be w(10). Let k = -3 - -9. Let p = -7 + 12. Solve h*s = p*s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2*l**3 - 61*i**2*l**2 + 2*i*l**3 + 55*i*l**2 - 10288*l**3 wrt l.\nAnswer: 6*i**2 + 12*i - 61728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 122 = 120. Let w be (-8)\/6*(2 + 1). Let u be 2 + w\/((-6)\/(-3)). Put y, u, 1 in ascending order.\nAnswer: y, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95633 by -4.\nAnswer: 95633\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 6, -81, 0 in descending order.\nAnswer: 6, 4, 0, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4269.23 from 63630402.\nAnswer: 63626132.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 4*r + 3*d + 4, -10 = -2*r - 3*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 53. Let z = 3 - 12. Let s = z - -10. Solve -y - s = t - 6, -y - i = -t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*w - 96187, 5*l - 2*l - 4*w = 57707. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33178*m + 33138*m + 4120 for m.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -342 + 655. Suppose 0 = -312*l + i*l - 21. Calculate the remainder when 51 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1332210513 - 0?\nAnswer: 1332210513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42634831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3 = -4*r. Suppose 11*o - 111 = 340. What is the remainder when o is divided by ((-14)\/21)\/(r\/81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = 4. Suppose -9*b + 20*b - 22 = 0. Let v = b - d. Solve 3*n + v = -2*y, -2*n = -n + y + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.2, -24\/11, 1, -0.0525, 0 in increasing order.\nAnswer: -24\/11, -0.0525, 0, 0.2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 10) to base 9\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-19)\/h**(-2\/37)*(h\/h**(-17\/3))\/(h*h**(8\/3)) assuming h is positive.\nAnswer: h**(-590\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5404, 5408, 5408, 5404, 5396?\n\"Answer: -2*l**2 + 10*l + 5396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 20*g = -858. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.07, 6, 333\/26, 2, 0.4.\nAnswer: -0.07, 0.4, 1, 2, 6, 333\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 247*t**8\/48 + 43*t**4\/8 - t**3\/6 - 956*t**2. Find the second derivative of p(n) wrt n.\nAnswer: 34580*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130)\/25 + 5 + 106\/5. Let l(o) = o**3 - 20*o**2 - 9*o + 6. List the prime factors of l(b).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -551*o**8\/56 + o**5\/20 - 1835*o**4\/6 - 914*o - 1. Find the third derivative of k(l) wrt l.\nAnswer: -66120*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8714068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122388*a + 40791*a + 40793*a + 40802*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/5046 and 31\/16.\nAnswer: 40368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -53, -14648 in decreasing order.\nAnswer: -4, -53, -14648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 517 = -d - i, -2 = -2*i. Let s = d - -222. What is the remainder when 399 is divided by s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 8*a - 2. Calculate t(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2917 + 4?\nAnswer: -2913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 884476 + -21.5094958.\nAnswer: 884454.4905042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*a**3 + 886*a**2 + 2520*a - 792.\nAnswer: -2*(a - 66)*(a + 3)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**7\/15 + t**4\/8 + 10*t**2. What is the second derivative of g(a) wrt a?\nAnswer: -168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11804232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 18*b + 3. Let p be o(8). Suppose -13 + p = 5*i. Calculate the common denominator of 74\/i - (-1)\/(-1) and -25\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2947 + 6320. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -4)\/3 - 32\/12.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*v + 11 + 18, 3*v + 9 = 0. Let b be (1 + k)*6\/9. Solve 3*w + 4*m - b = -0*m, 0 = -5*w + m - 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10126, -10086, -9958, -9736, -9414, -8986?\n\"Answer: r**3 + 38*r**2 - 81*r - 10084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 100 - (-9 - (0 - 65))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-4)\/26 - 30\/(-26)). Let q(x) = -14*x + 3. Let t(s) = -13*s + 2. Let k(u) = -3*q(u) + 4*t(u). Determine k(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-156)\/16)\/((-3)\/28). Let f = -87 + n. Solve 2*t = -3*o + f, 0 = 4*o - 5*o - 5*t + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 1. Let g(h) = h - 9. Let z be g(8). Let r be j(z). Suppose -98 = -5*l + r. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 501 = 517 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 129?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (20 - 28) + 24\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144892 by 72446.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -7. What are the prime factors of w + 7 - (-4 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 38 - 18\/(-10)*(-80)\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**5 - 177*f**4 - 55029*f**3 - 1717635*f**2 + 5876694*f + 7539480 = 0.\nAnswer: -78, -45, -1, 4, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a*b**3*u - 14*a*b**3 + 2*a*b**2*u - 3*a*b*u + 2*a - 18*b**3*u + 64*b**2*u + b*u wrt b?\nAnswer: 30*a*u - 84*a - 108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1638045 and 409.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4 + 4 - 5 + 9*m. Let k(z) = -1. Give 5*k(q) - x(q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 5*d - 4*d)*(-16*d**4 + 5*d**4 + 12*d**4).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 2. Let r(q) = 3*q - 4. Let x(c) = 2*c - 2. Let l(g) = -r(g) + 2*x(g). Let y be (-2 + 0\/1)\/2. Determine y*u(k) - 3*l(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202297.\nAnswer: 89, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 21. Let d(b) = 27*b**3 + 2*b - 1. Let t be d(1). Let q = v - t. Put -2, q, 4 in decreasing order.\nAnswer: 4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -254? (a) -5 (b) 67 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 (base 9) in base 7?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13667 + 0.13667. What is the third smallest value in n, -128, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Suppose 8*g - 3*g - 2*r + 8 = 0, 5*g = 5*r - 20. Which is the nearest to g? (a) x (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867878688.\nAnswer: 2, 13, 239, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1493086385*r**3 + 40*r**2 - 18063987*r wrt r?\nAnswer: 8958518310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + 5*(sqrt(243) - 3*(sqrt(243) - sqrt(243)*-1 - sqrt(243))) + (sqrt(243) + (-1 + sqrt(243))*4 - sqrt(243)*2*3))**2.\nAnswer: 1386*sqrt(3) + 29454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.29, -213\/5, 24, -0.1?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -508 or -302?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 2. Let y(l) = -1. Let u = 11 + -18. Let b = u - -6. Determine b*h(i) - 3*y(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 0, -3, -2 in decreasing order.\nAnswer: 0, -2, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 21*k - 163. Give f(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4 (c) -4\/89 (d) -5 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 7*i - 1, -4*k + 5*i - 277 + 281 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 466*c**3 + c - 119 wrt c?\nAnswer: 2796*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 28*r + l, 151*r + 5*l = 154*r + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 26 = -11. Let f be w*(-4 + 88\/20). Calculate the highest common factor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 1024.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y = 132. Calculate the least common multiple of 6 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5 + 292*o**4 + 836*o**3 - 292*o**2 - 840*o = 0.\nAnswer: -70, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990 = -114*s + 104*s. Suppose 0*r + 4*r = 36. Calculate the highest common factor of r and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.107\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 60705*p + 121422.\nAnswer: -3*(p - 2)*(p + 20237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 45 - (1 + -6)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -1 + 7. Suppose 0*h = -5*h - 10. Let v = w - h. Calculate the highest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2250309 rounded to four dps?\nAnswer: 0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 0.2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 2. Let z be -2 - (3 + a) - 23. What is the lowest common multiple of -3*(z\/6 + 1) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 779.1 - 784.1. What is the third smallest value in j, 0.02, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(2 - 2 - 4*a) + 0*a - a + 0*a - 160*a - 302*a + 630*a to f + t*a and give t.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -31*d - 9. Let t be j(-11). Let k = t + -129. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 57 - 237. Suppose 4*o + 28 = 4*t, -5*t + h = -2*o - 8. What are the prime factors of (-2 + t)\/(5\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g + 0*g - 5*g)*(23*g**3 + 31 - 31) as q*g**3 + r*g**2 + f*g + i*g**4 + m and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 185440*j + 23921759. Calculate x(-129).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -870 divided by -1?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -241547012 minus 1.26?\nAnswer: -241547013.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = s + 2*p - 30, 0 = -2*s - p + 89. Suppose 4*l + s = -0*l. Let j be l\/(-2)*22 + -1. Round j to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 less than 98066.63?\nAnswer: 98066.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 124*l**2 - 9*l. Let m(g) = 62*g**2 - 4*g. Let p(a) = 3*a**3 - 376*a**2 - 251*a - 130. Let b be p(126). Determine b*d(t) + 9*m(t).\nAnswer: 62*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10700 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1730 + -963. What is the remainder when u is divided by 767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/31406837 and 31\/462?\nAnswer: 188441022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 1, h: 1}. Give prob of picking 1 u and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 0\/(2\/(-1)). Find the second derivative of 4*o**2 - 2*o**2 + o**2 - r*o wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21671.\nAnswer: 13, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3\/7)*k)**(2\/51))**(-13\/6) assuming k is positive.\nAnswer: k**(-143\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -244, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275758?\nAnswer: 2, 7, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 250884845605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 1559 = -1962 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a7bc16 (base 13) in base 9?\nAnswer: 7363345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -443*a*i**5 + 3*a*i**3 - 89*a*i - 6*a + 3*i wrt i?\nAnswer: -8860*a*i**3 + 18*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8365228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70232891*c*q**3 + 209*c*q**2 - 2*c + 22555*q**2 wrt q.\nAnswer: 421397346*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1 - 34*k - 2 - 3*k**2 + 30*k + 2. Let a be j(-4). Let d be (-60)\/a + (-10)\/(-55). What is the greatest common divisor of d and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1124 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6 and 11\/49?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-112)\/24)\/(1\/3). Let n = 18 + y. Suppose n*r + 5 = 25. Calculate the greatest common factor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, 6 in decreasing order.\nAnswer: 6, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezeq when four letters picked without replacement from {e: 4, q: 1, z: 2, v: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5068, 10167, 15280, 20401, 25524, 30643, 35752?\nAnswer: 40845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8219 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2168 - 2166. Let r(h) = h**2 - 6*h. Determine r(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (1 + 6 + -9 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2448) + sqrt(2448) + 5 + sqrt(2448)*-2 + -2 + -1 + -2*(-5*4*(sqrt(2448)*1 + sqrt(2448)))**2).\nAnswer: 23500794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 18*v**2 - 44*v + 85. Let u be o(20). Put -4, 23, u, 4 in descending order.\nAnswer: 23, u, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 divided by 5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 875*t - 1795*t + 2958*t**2 + 887*t.\nAnswer: 2958*t**2 - 33*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 555?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 - 73*r - 74. Let c be i(-1). Solve 2*a = -2*a - c*p + 35, 0 = a - 2*p + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 3. Let x(v) = -v + 2. Let r(p) = 3*n(p) - 7*x(p). Let l be r(5). What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - c - 27, -3*c - 31 = 2*q + 22. Let t = -2 - q. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276368 and 3004.\nAnswer: 276368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-6) + (-6)\/(-4). Solve r*i + 3*a - 8 - 15 = 0, -3*a = -5*i + 17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*(sqrt(192) + -4*sqrt(192)*-1))\/(sqrt(4374)*1 - sqrt(54)))**2.\nAnswer: 250\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16563630.\nAnswer: 2, 3, 5, 19, 29059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 0*q**2 + 0*q**2)*(-2 + 0 - 1)*((0*q**2 - 5*q**2 + q**2)*(-2 + 2 + q) + (3 + 2 - 1)*(-9*q**3 + 100*q**2 - 100*q**2)).\nAnswer: -120*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40344 = 63*m + 60*m. What is the remainder when m is divided by 103?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5*i + 739 - 717, -s - 3 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/3 - 11314*o + 32174816\/3 = 0 for o.\nAnswer: 976, 32966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -490 (b) -2\/9 (c) -2\/5 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -417\/5. What is the nearest to -19 in a, -1\/5, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/80 - p**5\/10 + p**4\/16 + 3*p**3\/2 + 11*p**2. Factor g(j).\nAnswer: 3*(j - 3)*(j - 2)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 197*k**4 - 34*k**4 + 38*k**4 + (3*k**3 - 2*k**3 - 2*k**3)*(2 - 2 + k).\nAnswer: 200*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-48\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 31*c + 18. Suppose 3*t - 5*t = 4*p - 58, -3*p = 4*t - 116. Is o(t) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4729113239 to the power of 1\/2, to the nearest integer?\nAnswer: 68769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2237 + -988?\nAnswer: 135a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*k = 4*p - 6, -26 = p + 5*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2 in decreasing order.\nAnswer: 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.08, -12 in descending order.\nAnswer: 9, -0.08, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**8\/2016 - k**7\/90 + k**6\/60 + 7*k**5\/180 - 13*k**4\/144 - k**2 + 25*k. Find f such that n(f) = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 94*l**2 - 59*l + 7. Suppose -64*r - 76 = -268. Is d(r) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2*f + 1980 = 0. Suppose 5*v = -121 + f. Let n = v - -56. What are the prime factors of n?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -27. Is x at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 2*i**2 + 4*i - 3. Suppose 6*t + 176 = 416. What is the smallest common multiple of m(5) and t?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + i + i)*(1 - 4 + 0)*(-9 - 10 - 10)*(0 + 1 - 2) in the form s*i + x and give s.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 368\/(-1196)*7\/(-35)*5\/4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76.83 - 75.83. Which is the nearest to k? (a) -0.5 (b) -0.07 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(7 + -1)*(-12)\/(-3). Let p be k\/(-16) + (33\/(-72) - 0). Which is the smallest value? (a) 4 (b) p (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24002006 is divided by 110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*(1\/(-2) + -1). Let w be (8\/(-16))\/(y\/(2 + -44)). Determine b, given that -15*b**2 - 15*b**3 - 16*b**5 + 25*b**2 + w*b**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -593\/4 equal to -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1121)\/38)\/(9\/(-3)) - (-117)\/(-13). Solve 2\/3*p**2 + 0*p - 2*p**3 + 0 + s*p**4 = 0 for p.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 7 + 12 - 19.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1602889 or -1?\nAnswer: 2\/1602889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -302509, -302508, -302507, -302506?\n\"Answer: q - 302510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3362.51 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7063186, -14126381, -21189568, -28252741, -35315894, -42379021, -49442116, -56505173?\n\"Answer: w**3 - 2*w**2 - 7063196*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2065.988 - -2070. Let r = 0.012 - m. Sort 3, 1.2, r.\nAnswer: r, 1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 159, -0.5, 4\/11, -659?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 48 + 15 = 5*b, -k - 3*k = 1231*b - 1225*b - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/(-6))\/(2\/(-129)) is divided by (-1)\/((-12)\/(-45))*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 3, -t = -3*w + 14. Put w, 2, 4, 0 in ascending order.\nAnswer: 0, 2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3092 + 1523. Let p = -807 - t. Calculate the remainder when p is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -312, -872, -1648?\nAnswer: -2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15) + 210\/(-325).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 446.\nAnswer: 14718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -832.903514 to the nearest integer.\nAnswer: -833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*n + 3*w, -4*w + 0 = -12. Let p = n - 1. Suppose 5*i + 5 = -0*i - 2*h, 2*i - p*h - 17 = 0. Which is the nearest to i? (a) -0.5 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(224)\/sqrt(4))\/sqrt(8) + 1.\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*d + 564 = 0, 3*q + d - 286 = 145. Let c = 2463\/17 - q. Are c and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8680+-0.016082413\nAnswer: 8679.983917587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/71, -1\/20 in ascending order.\nAnswer: -0.3, -1\/20, -2\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w = -4. Let x(i) = i**2 + i - 2. Let m be x(2). Suppose 17*z + 227 - 261 = 0. Solve w*c - m*c = z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)\/(l\/(l*l*l\/(l*(l\/l**(-1\/3))\/l))))**37*(l**(-5\/4)\/(l**(2\/9)*l))**38 assuming l is positive.\nAnswer: l**(-155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001415107 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 53 = 10*x - 15*x, 0 = -4*x - 30*p + 31*p + 50 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671497 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 10*y - 4*y - y**3 + 2 - 6*y + 25*y. What is the units digit of m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/150 and -7\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 18 - 11. Solve l = -5*x + 3*b + 14, -2*b = -4*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9741193 by 73.\nAnswer: -133441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 319*l + 259. Calculate u(-105).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27855301 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 184530341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7305 and 11460.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27771*k**3*m**2*p - 3*k**3*m*p + 5*k**3 + 771*k**2*m**2 + 17*k*m wrt p?\nAnswer: 27771*k**3*m**2 - 3*k**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 34070\nAnswer: -34070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157 (base 11) to base 15.\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, -2, -4\/3, 31.\nAnswer: -2, -4\/3, 31, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9436 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.022*0.336908.\nAnswer: 0.007411976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 593 or 1917?\nAnswer: 1917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 3*f - 297. Let n = f - 77. Let u(k) = k**3 + 3*k**2 - 4. What is u(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158 and 1665162?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-5\/3)*x**(-2\/55)*x**(-1\/5) assuming x is positive.\nAnswer: x**(236\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 75*z - 119. Give q(57).\nAnswer: -1145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/4 - -5\/4. Let j(v) = v**2 - 7*v - 35. Let z be j(-5). Which is the biggest value? (a) 3 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10880370 divided by 205290\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - n + 13 = -3*f, -f = 5*n + 12. Let b(s) = -s**3 - 6*s**2 + 8*s - 1. Let j be b(f). Let d(m) = -3*m - 7. List the prime factors of d(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1940 and 1552.\nAnswer: 7760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 664730?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/204*((-270)\/(-12))\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75624399 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = g + 2*q - 8, 4*g - 74 = 2*q. What is the remainder when (-3)\/6*10 + 36 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = 0, -2*k + 5*w + 238 = k. Calculate the remainder when k is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -195 (c) 2 (d) 0.27 (e) 3\/37 (f) -2\/7 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2787026 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, p: 7, j: 3, l: 3}. Give prob of sequence lj.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 8*y - 5*y. What is the common denominator of ((-2)\/y)\/((-2)\/(-204)) and -52\/17?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -3212?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -20. Let t = y + 62. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, a: 2, l: 4, j: 5, f: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1063 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 219, 440, 661, 882, 1103?\n\"Answer: 221*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1323, 8708, 28727, 67698, 131939?\n\"Answer: 1053*n**3 - n**2 + 17*n + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p + 5*m - 640, -408 = -3*p + 3*m. Let z be 3\/(3 + p\/(-8)). Let d = 3 - 1. Which is the nearest to -2? (a) d (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6 + 6. Let o = 12 + -25. Let m = 19 + o. Do w and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10694 is divided by 8510?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.25 + 3.25. Which is the second biggest value? (a) g (b) 0.3 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u = -48054 - 134916. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -11*n + 183. Solve -7*k + 17 + n = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -76*n**2. Let c(t) = -t + 1. Let y(x) = -9*x + 8. Let s(z) = -24*c(z) + 3*y(z). Give s(f(h)).\nAnswer: 228*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 158 = w + 129, 3*w = 3*t - 3. Let u(m) = -3*m. Let p be u(-2). Solve d + p = w*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 157\/10?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -353 (b) 2\/3 (c) -0.4 (d) 0 (e) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**2\/2 - 3*o - 5. Let z be y(6). Solve -g = w + 2, 5*w = w + z*g - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8068000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e + 2cb81?\nAnswer: 2cbc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o - 15. Let n be m(-15). Is 6\/n - 184\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkyaw. What is prob of picking 1 y and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 110. Which is the biggest value? (a) -3 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(-1\/11)*q))**42 assuming q is positive.\nAnswer: q**(504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4257\/222323 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h - h)*(-h - 2*h - 2*h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 15. Suppose -4 = 4*n + 4. Let a = -2 - n. Solve -y - f = 2, a = -5*y - 2*f + 2 - x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -456*a + 15108. Let t be p(33). Let f(o) = 23*o**3 + 4*o**2 + o. Let q be f(3). Calculate the greatest common factor of t and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546 a factor of 120878648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + -4 - (-1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18529935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 5*y + 2*y - 14 + 0*y.\nAnswer: -7*y - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/19316, 2\/17, -0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-75)\/(-2))*(-20)\/(-12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from sztttrtrnssmsntnttn?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-10) - (-4 - -2). Suppose x + 2*x = -5*r - 15, z = -x - 5. Factor r + 2*o**3 + 14\/11*o**2 + 10\/11*o**4 + 2\/11*o.\nAnswer: 2*o*(o + 1)**2*(5*o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-42)\/112)\/(2\/(-16)). Suppose 16 = l - 0*o + q*o, 4*o - 20 = 0. What is the nearest to l in 1, 3, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*c**4 + 208*c**3 + 205*c**3 - 477 + 210*c**3 - 609*c**3 wrt c.\nAnswer: 24*c**3 + 42*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127041945 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376 divided by 94.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101438 to five decimal places.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 63168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*z - 7*z**5 + 2*z**5 - 40*z wrt z?\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.9. Let n = 5260\/7 - 746. Let l = 584\/105 - n. Which is the closest to 0.1? (a) l (b) p (c) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 8. Let x be n(-11). Factor 2*v - 10*v + v - 18*v**3 + 3*v - x*v**2 - 2*v**5 - 10*v**4.\nAnswer: -2*v*(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*i - 1055834 = 2061910. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 199 - -201?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*s + 26*s - 14*s + 4*s in the form t + r*s and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1 = -d, 0 = -2*b + 3*d - 7*d - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25933945839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5192675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.5 (c) -5 (d) 2\/741 (e) 23.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -10*y**2. Let l(b) = -b**2. Let p(k) = 55*l(k) - 6*n(k). Let f(w) be the first derivative of w**2\/2 + 8. Calculate p(f(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3 - 15*u**2 - 47*u + 63 = 0. What is u?\nAnswer: -9, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220101112 (base 3) to base 5.\nAnswer: 1032110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(567) + 3)**2 + (sqrt(567) + -3)*2 - -3*(-3 + 6*sqrt(567)*-1))*-4.\nAnswer: -2244 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y - 1. Let o(k) = -k**2 + 14*k + 2. Let q(d) = -3*o(d) + 3*u(d). Let c be q(8). Solve 9*l - 14*l = -c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -4*m - 42. Let r = m + 27. What is the greatest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 142\/24 - -3. Let z(m) be the second derivative of 0*m**2 - p*m**4 + 0 - 9\/20*m**5 - 1\/6*m**3 + 2*m. What is z(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 40 = -15. Suppose u*a - 27 = -o, 4*o = 2*o + 4. Suppose 0 = -a*m + 5*s + 40, -4*s + 27 = 3*m + 3. What is the remainder when 14 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17*53.88\nAnswer: -915.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 3*p + 58 = 0, -5*v + 4*p = -131. Calculate the remainder when 1*86\/(-4)*(7 - 9) is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l - 60*l + 105*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-10)\/(-4)) - (50 + 12). Let q = a + 64. Solve 4*k + 1 = 5*z, -2*k + q = -3*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add 59.17 and 0.2.\nAnswer: 59.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 4. Let x be d(0). Let a be (-10)\/5*(-4)\/(-1). Let v be ((-100)\/a)\/((-2)\/x). Solve -9*n + 4*n - v = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -122 + 0?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 124*l - 120*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25440 and 13444245.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 41. Let o be 2 - 5\/(p\/9). Let m = -0.86 + 0.56. Which is the nearest to o? (a) 2\/23 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.16 and -679.995752487.\nAnswer: -680.155752487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 114660\/20475*10\/8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-3*i - i + 0*i) to the form w*i + l and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 84*q - 12. Let b(c) = 671*c - 99. Give 4*b(w) - 33*y(w).\nAnswer: -88*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 566325 and 173673?\nAnswer: 13025475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*f = 18, 3987*l + 4*f = 3984*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8238, 8234, 8230?\nAnswer: 8226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/233100 and 2\/2290275?\nAnswer: 2372724900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 46*n + 1531. What is the least common multiple of 3501 and t(9)?\nAnswer: 17505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 2*a**3 + 4*a**3)*(5252*a**2 + 4447*a**2 + 1483*a**2 - 108*a**2).\nAnswer: 11074*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2949, 16195, 38267, 69165, 108889?\nAnswer: 157439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from piypi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from rcthtrt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -15*p**4 - 10*p**3 + 15040*p**2 = 0.\nAnswer: -32, 0, 94\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {s: 5, x: 2, v: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -165904 * 144.5\nAnswer: -23973128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -273188160220.\nAnswer: 273188160215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 210\/5569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**4 - 7*u**4 + 2*u**4)*(4 - 1 - 4) + (3*u - 2*u - 2*u)*(u**3 - u**3 + u**3) as n*u + x*u**4 + r*u**3 + p + y*u**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*y - 11, 0 = 3*i + 3*y + 8 + 1. Suppose 7*q - 2*q + 2*b - 21 = 0, b = 3. Suppose 4 - i = q*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -331 - -430440231?\nAnswer: 430434400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -2*b**4\/7 - 37*b**3\/7 - 27*b**2 + 7*b + 2400. Solve s(h) = 0.\nAnswer: -7, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 11) in base 5?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71760\/14 - (-666)\/2331.\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -49. Let h(i) = -2*i**3 + 3*i**2 + 7*i - 5. Let u be h(d). What is the tens digit of (-2)\/(5 - 3)*(u + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 35*c = 119. Suppose c*o - 67 = 45. Suppose -36 - 140 = -4*a. What is the remainder when a is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.109 - -0.091. What is the closest to -1 in 1, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272605 is divided by 17617.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1857, 1519, 1181, 843, 505, 167?\n\"Answer: -338*l + 2195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 964146105 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584926?\nAnswer: 2, 59, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3 - 1 = 0, 5*l = 3*n - 41. Suppose -1295 = -n*p + 7*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -2, -8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711*w - 13661 - 6958 = 0 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 2:04 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 + -16. Calculate the remainder when p is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynj when three letters picked without replacement from {y: 3, j: 6, n: 3, s: 1, e: 1}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -1 - (-16)\/40*-5. Let v(o) = -o**2 - o - 1. Let q(x) = 5*x**2 + 4*x + 23. Let m(u) = r*q(u) - 4*v(u). Differentiate m(z) wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -895 by -179.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/6*11\/77*-21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 9 = 0, 2 = -g - 3*h - 2. Let w(p) = -4*p + 12. Give w(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**4 - u**3 + u**2 - u - 1. Let x(m) = 3*m**4 + 7*m**3 + 7*m**2 + 9*m + 4. Let d(y) = -4*n(y) - 2*x(y). Find f, given that d(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9))**(-11)\/((i*i**(-5))\/(i**(-6)*i)) assuming i is positive.\nAnswer: i**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 + (-1765)\/6300. Let j(t) be the third derivative of 0 + 0*t - 8\/9*t**3 - b*t**6 - 1\/15*t**5 - 1\/3*t**4 + 2*t**2. Factor j(p).\nAnswer: -2*(p + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 6*r - 6. Let m be n(-8). Calculate the greatest common factor of 50 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -237358, 4, 1.23?\nAnswer: -237358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1289188.3?\nAnswer: 128918.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472, 468, 464, 460, 456?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -339769\/312 + 14124\/13. What is the common denominator of 25\/6484 and h?\nAnswer: 38904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(110) + -3*sqrt(110)*2))\/(1*sqrt(480)\/sqrt(3)) + -4.\nAnswer: -4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941191.\nAnswer: 31, 97, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 389*y + 48. Let d be ((-14)\/(-3))\/(-5*6\/(-45)). Is x(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 2*d + 3*d**2 + 5*d**2 to s + p*d**2 + y*d and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 18*u**2 + 18*u + 23. Calculate v(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k**2 + 8*k**2 - 22*k**2 + 60*k**2.\nAnswer: 86*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 17.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:08 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, 0.5, 0.16, 2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 11*v**2 - 1. Let f = -26 + 36. Let k be h(f). Calculate the greatest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*x + 0 - 1\/3*x**2.\nAnswer: -x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0*r**2 - r + 8*r**2 - 1 - 8*r**2 + 14*r**2. Let n be t(1). Is 1469\/78 - (-2)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 8:17 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppcpllccpppppcclpl. Give prob of picking 1 l, 1 c, and 2 p.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4820, -9358, -13890, -18416, -22936, -27450, -31958?\n\"Answer: 3*b**2 - 4547*b - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*t - 16. What is the third derivative of n**5 + 10*n**2 + t*n**2 - 15*n**2 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -464, -1794, -4002, -7082, -11028, -15834, -21494, -28002?\n\"Answer: y**3 - 445*y**2 - 2*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185786599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1021512 and 41\/36?\nAnswer: 3064536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -234234 divided by 3042\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 271 = -12*u + 17*u, 54*m = 3*u - 21*m + 135 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470538 is divided by 61.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16383*o**6 - o**2 - 2563*o?\nAnswer: 1965960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 + 2*q**5)*(2 + 1 - 5) + 11*q**5 - 9 + 9 + 12*q**5 + 3*q - 15*q**5 - 4*q.\nAnswer: 4*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -225*f - 155. Let k(m) = 16*m + 11. Let u(b) = 85*k(b) + 6*x(b). What is the derivative of u(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -641*y + 292 wrt y.\nAnswer: -641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8330108*y - 7930571 wrt y?\nAnswer: -8330108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.119 + 0.1116. What is i rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72780927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6134, -6088, -5934, -5672?\n\"Answer: 54*b**2 - 116*b - 6072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*v**4 - 8043*v**3 - 20*v**2 + 413987071*v wrt v.\nAnswer: -84*v**2 - 48258*v - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 8*a**2 + 22*a + 12. Let w be s(-10). What is the hundreds digit of (488\/(-5))\/(w - 266\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * 354337\nAnswer: 602372.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:20 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(2\/(-9)))\/((-48*31\/(-14384))\/(-1))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13376 and 192698.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(8)*1))\/sqrt(9))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**2 + 2*m**4 - m**3 + 2*m**2 + 4*m**2 - 5*m - 3 + 0*m**2 - m**2 to k*m**3 + w*m + y + x*m**2 + z*m**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1884.196 microseconds?\nAnswer: 0.001884196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1100) + 3)**2*-6 + 2.\nAnswer: -6652 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g**5 - 1358844*g**4 - 17096522256*g**3 + 7598722752*g**2 = 0 for g.\nAnswer: -25164, 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -65*t**2 + 402*t + 2076. Determine x(-5).\nAnswer: -1559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1099\/19 in -4\/7, -0.2, 0.1, 8\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 40*d + 33. Let f(w) = -10*w - 7. Let n(v) = -9*f(v) - 2*r(v). Let c(i) = 3*i - 1. What is 7*c(k) - 2*n(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164912763?\nAnswer: 3, 29, 1117, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 3. Suppose -c = 2*c - 12. Determine z(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0 + 2. Suppose w*r + 3*r = 45. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3578395*u**2 - 96554*u - 4 wrt u.\nAnswer: 7156790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 3*o**3 - 2*o**3 + 3*o**3 + 4*o**2. Let f be m(4). Solve -2*n + 6 = -f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394296 divided by -49287?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -613 - -922. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 395*n**2 - 9*n**3 + 393*n**2 - 50*n**3)*(-3*n + 3*n - 3*n) to l + s*n**3 + p*n**2 + k*n + a*n**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12427903 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -18. Let r be ((-3 - -6) + -2)*h. Is -12*28\/r - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/4, -1.558, -6983 in decreasing order.\nAnswer: 2, -1\/4, -1.558, -6983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -766, -2, -1\/3, 0.1?\nAnswer: -766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42622249952.28 + 0.4.\nAnswer: -42622249951.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 29*m**2 - 115*m + 304. What is u(25)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 751289 - 751379.9886. Let c = 40 + 51. Let x = c + b. What is x rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 793 = -3853. Is 56 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2079512 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 2*w - 2. Let a be c(-5). Let h = 1 + a. What is the highest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -573*y + 24073. Calculate s(42).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:21 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 divided by 4742545?\nAnswer: -139\/4742545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-261)*1307 + 544\/(-7888)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-12)*72\/(-84). Suppose 0 = 3*d + 5*x + 35, x = 4*d - 2*d + 6. What is the third biggest value in d, 3\/2, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 34398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.03 - -5.644. Round k to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*i + i - 64 = 0, 5*r - 81 = -4*i. Let z(g) = -g**3 - 16*g**2 - 9*g - 40. Let s be z(-16). Calculate the greatest common divisor of r and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9577098 - -0.767711. Let s = w - -0.19. Round s to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p - 18. Let g be (-4)\/p + 14\/63. Are -1 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190814196 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5.2, -5, -1\/3.\nAnswer: -5, -1\/3, 5, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:02 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363)*-1 + sqrt(363) - sqrt(363))*-3)\/(-4*2*sqrt(11)))\/(sqrt(176)*3 + 4*(sqrt(396) + sqrt(11) + sqrt(11))).\nAnswer: -3*sqrt(3)\/352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 32*o**2 - 319*o - 5. Let k be u(10). Suppose 61*a + 4 = 62*a. Solve 0 = d - k*d + a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -17*r**2 + 59*r - 7. What is d(5)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 + 2*j**2 + 2. Let c(f) = -14*f**3 + 11*f**2 + 11. Let p = -1917 + 1915. What is p*c(g) + 11*a(g)?\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**10\/f))**27\/((f*(f*(f**(5\/2)*f)\/f)\/f)\/f*f**(-12)*f*f))**(-2\/35) assuming f is positive.\nAnswer: f**(417\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7148635.\nAnswer: 5, 13, 71, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 26 = u - 2*u, 52 = -2*u - 5*k. Let z(p) = p**3 + 25*p**2 - 27*p - 32. Let s be z(u). Let v = 121 - s. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 6 = -2*w, 2*w + 6 = 4*n. Let p(b) = 4*b**n - b**2 - 12*b**2. Let o(a) = a. Give o(p(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 7:19 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(8*(-4)\/(-16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**3 + 150*k**2 - 155*k = 0. Calculate k.\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -18*c**2. Let z be 4\/3*(-2 - 1). Let v be z\/8*1*0. Let s(f) = v*f - 4*f + 6*f - f. Calculate r(s(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38487.1 - -38487. Let j = -0.5 + -3.5. Which is the closest to -2? (a) s (b) 4 (c) -3\/5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3547\/2491 + -16308929\/2067530. Let z = -165\/83 + k. Find the common denominator of z and -119\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(20\/(-15)). Suppose 0 = f + 2*f + s + 1, 2*f - 2*s + 14 = 0. Put g, 4, f in decreasing order.\nAnswer: 4, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203 + 360. Suppose -79 + i = 26*f. Put f, -3, 0, 6 in ascending order.\nAnswer: -3, 0, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -4*o + 5\/3*o**3 + 0 + 1\/2*o**2. Find the first derivative of k(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -105*g + 371. Calculate the least common multiple of b(1) and 988.\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 19*c - 26. Is p(10) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1 + 5 - 5 + 101*o. Let z be h(2). Let t = 425 - z. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -26 + 24 - -11 - (0 + 3 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*c - 60, 0*c = 5*c + 5*x - 90. Solve -5*r = -h - 1 - c, -12 = -4*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10\/7, 2\/7, 1\/3, -5 in descending order.\nAnswer: 1\/3, 2\/7, 0, -10\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191 - 192.02. Round v to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 2)*(-1872 + 17*n + 1872) + 0*n + 5*n - 2*n + 3*n - 2*n - 2*n + (-1 + 0 + 0)*(3*n - n - 4*n) - 2*n - 2*n + 2*n.\nAnswer: -66*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(408)\/(sqrt(12)*2))\/(5*(sqrt(2) - sqrt(32))) - ((sqrt(102)\/(-1*sqrt(486) - sqrt(486)))**2 + -3).\nAnswer: -sqrt(17)\/30 + 955\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -85. Let o = 36.999938 + s. Round o to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-28)*6\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l + 455 + 147 = 6*l. Solve 2*b = -12 + l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151813*c**2*l**3 + 42556*c**2*l + 9*l**2 wrt l.\nAnswer: 910878*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -926, -4\/3, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/90*(-2)\/4*-3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7620553, -15241096, -22861639, -30482182, -38102725?\nAnswer: -45723268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 762\/42 - 975\/455\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6013.063 - -324.\nAnswer: -5689.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1262495*j**2*l**2 - 2*j*l**2 - 11475*j*l - 4*j wrt j.\nAnswer: -2524990*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 62, -0.072, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 3066.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2700 and 12748650?\nAnswer: 229475700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 75, 154, 273, 438, 655?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 475. Let k be g\/10 - 1\/2. Let t = 13 - k. What is the highest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/61? (a) -1\/6 (b) 5 (c) 5\/6 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + 1 + -2 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12519 by -117.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, o: 11}. What is prob of picking 1 y and 1 o?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -2)*200\/(-160).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -730065 + 3480219836\/4767. What is the common denominator of 61\/63 and j?\nAnswer: 14301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1146 + 1225. What is the remainder when w is divided by 74?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16720 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**8\/336 - 5*r**4\/24 + 2*r**3\/3 + 2*r. Let c(h) be the second derivative of p(h). Find the first derivative of c(q) wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495804 and 3002.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m + 6*m - 9*m + (-5 + 5 + 2*m)*(1 - 1 + 2).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 78 = -2*u, -5*v - u = -0*u - 93. Suppose -6*k - 6 - v = 0. Let h(d) = 4*d + 4. Let b(n) = 1. What is k*b(s) + h(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p + 4*p - 6*p)*(-3 - 3 + 5) + p + 0*p + p + (-16*p + 31*p + 53*p)*(0 + 1 - 2 + (-1 - 2 + 5)*(3 + 2 - 4) + 1 + 0 + 0))*(p + 2*p + 0*p).\nAnswer: 411*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.46, 0.4, 2\/3, -3\/397, 4, 0.5?\nAnswer: -3\/397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (134\/(-4) - 0)\/(1\/(-10)). Suppose 0 = -3*w + 3*b + 96 + 96, 2*b + p = 5*w. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -123, -319, -677, -1287, -2239?\n\"Answer: -15*p**3 + 9*p**2 - 118*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 21*m + 30*m + 26*m + 17*m**2 - 18*m + 13. Is g(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r**2 + 1. Let o(b) = -9*b**2 + 1. Determine -7*o(m) + 5*w(m).\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w - 5421 = -272*w - 196*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 333*a**8\/28 + 17*a**4\/3 + 2*a - 2. Find the third derivative of u(t) wrt t.\nAnswer: 79920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 2*v. Let a be t(-2). Suppose -5*h + 0*h + k + 12 = a, -2*h = -2*k. Suppose u - 13 = 4*m, u + h*m - 7 = 6. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 45 = -5*u. Let k be (u\/14)\/5 - (-855)\/21. Differentiate -31 + 6*m - 16*m + k*m with respect to m.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -9. Differentiate 8 + 15*t - 6*t - n*t with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.17 (c) 2 (d) 7 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5529\/608 - (-6 + 18) and 21\/164?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12019 + -4.11459. Let f = l + -0.0156. Let t = 4 + f. Round t to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -25*y**3 + 10*y**2 + 4*y + 10. What is the units digit of k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232569828 and 387616380.\nAnswer: 1162849140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from uxc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296312 is divided by 837?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k + 9. Let j(x) = 9*x + 8. Let l(y) = -4*j(y) + 5*r(y). Let n be l(-6). Let z = 15 + n. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2092226 is divided by 149441.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + -5*(sqrt(1377) + 3*sqrt(1377) + -2 + (sqrt(1377) + -2)*4))**2*-6.\nAnswer: -13232454 + 203040*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*a - 3*y, 2*a - 5 = -0*y + y. Let u be 8\/(-28) + (-388)\/14. Let j = u + 46. Solve 5*n + 35 = 5*f + 10, 4*f = a*n + j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -414 + 582. Suppose -f = -3*p + 27. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 10*h + 9. List the prime factors of z(6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 45 - 148 - 59 - 48 = 10*t + 2*r, 0 = -5*r for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 7*b**4\/4 + b**3\/3 + b**2\/2 - b + 148. Let a = -2 + 4. Suppose -a*l + 6*l = 4. Determine o(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. Let y = 14047 - 14048. Which is the nearest to y? (a) i (b) 10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 128509138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 12*l + 1. Let d be n(-12). Let f = d - 1. Is f bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -11) + (2 - 4). Let m(n) be the second derivative of -n**4\/12 + 2*n**3\/3 + 5*n**2\/2 - n. Determine m(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 13*w**2 + 14*w + 5. Suppose 8*g = p + 11*g + 14, 42 = -3*p - 4*g. Calculate d(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 - 127. Suppose -3*w + 2*h = -651, -x*h - 469 - 399 = -4*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070070 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 3*q**3 + q**3)*(0*q + 2*q - q) + 12*q**4 - 1870*q**2 + 1870*q**2.\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 1:03 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-9 + -4 + 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47653860 + 7*p**2 - 47653860.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**3\/2 + 3*n. Calculate the remainder when 35 is divided by j(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1896 = -39*n + 531. Suppose 0 = -3*q - 2 - 4, 4*b + 5*q = 310. Let s = b + n. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + 2 + sqrt(304) + 1 + (5*sqrt(304)*2 + (sqrt(304) - (1 + sqrt(304))) + -3)**2 + 5).\nAnswer: -91260 + 948*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - 155. What is the greatest common divisor of d and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1503 or 3?\nAnswer: -4\/1503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 5*z**2 - z + 5. Let r be y(-4). Let a(p) = 5*p**2 + p - 2. Let t be a(1). Solve t*d + 5 = r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + i + 286 = 0. Let d be (-37)\/(-7) - (-6)\/(-21). Solve 2*a - 12 = -d*u + 17, i = a + 4*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9500785 divided by 3.\nAnswer: 9500785\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44 - -3*(-1 - -2). Let d be (69\/(-9))\/((-1)\/3). Let j = k - d. What is the remainder when 70 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 147? (a) 8.2 (b) -2 (c) -0.07 (d) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4552 and -55\/16.\nAnswer: 9104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 10. Let n = 1 - 4. Let q = 3 + n. Which is the closest to q? (a) l (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1624566, -3249137, -4873722, -6498327, -8122958, -9747621, -11372322?\n\"Answer: -j**3 - j**2 - 1624561*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:05 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 40\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-57)*3*(-2)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 2*q + 94 - 32 = 0, 0 = 3*h + q - 17. Solve -u + 10 = -4*y, -10 - h = -3*u - y for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33052 is divided by 560?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213105 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2136 at least as big as -2136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 2. Let z be u(-1). Solve -4*p + z*p - 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1193 or -1237?\nAnswer: -1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 234\/162 + 1*(-2 - -1)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1249359 and 17865.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f - 43. What is o(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343806 - -1151754.\nAnswer: 1495560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrrcbcrobcrc. Give prob of picking 3 c.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3179 is divided by 266.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756 is divided by 160.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/48)\/((-21)\/196).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100220 (base 3) to base 9.\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3390197 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (419 - -1) + (2 - 2). Suppose 6*s = 2*s - n. Let d = s - -136. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3)**(-23) assuming c is positive.\nAnswer: c**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 13\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -37617789 at most as big as -37617789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 + 4*o - 6. Suppose -3*x + 9 = -2*j - j, 0 = 4*j. Let v be -4*((-25)\/(-5) - x). Let q(u) = u**2 + 9*u + 12. Let l be q(v). Give c(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 - (-11 - -4) - -8. Let d(v) be the first derivative of 3*v**p + 6*v**3 + 6*v**2 - 1 + 3*v + 3\/5*v**5. Factor d(q).\nAnswer: 3*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, -111, -373, -885, -1731?\n\"Answer: -14*f**3 + f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -t - 24, t + t - 7 = -3*p. Let b = -3 + 8. Suppose -b*s = 5*x - 25, -x + p = 4*s - 3. Solve -v - x = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bb (base 15) in base 6?\nAnswer: -12035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 smaller than 11083313\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8090\/(-11220) - (-8)\/204 and 7\/5184.\nAnswer: 57024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10*(-11)\/((-33)\/(-150)). Solve 5*m + u = 10*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1069087, 1069084, 1069079, 1069072, 1069063, 1069052?\nAnswer: 1069039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/6)*v)\/v*v**(-7)*(v**(2\/3))**(-20\/11))**(4\/21) assuming v is positive.\nAnswer: v**(-310\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2449*t + 2459*t = 51370. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -39. Solve 0 = -4*j - 3*h + 21, -7*j + 2*h = -n*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**2\/2 + 9*v + 2. Let o be t(5). Let p = 5 - o. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 smaller than -369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2. Let t(y) = 337*y**2 + 38*y + 6. Let h(d) = -1010*d**2 - 102*d - 16. Let f(z) = -3*h(z) - 8*t(z). Determine f(s(m)).\nAnswer: 8350*m**4 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m**4 - 95*m**2 - 19*m**4 - 5 - 2 + m + 91*m**2 to the form r*m**4 + b*m + g*m**3 + a + q*m**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312534?\nAnswer: 2, 3, 97, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.19909 micrograms to tonnes.\nAnswer: 0.00000000000619909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 4*m = 27, -173*w - 3*m - 70 + 4 = 2*m - 525 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -10*j + 104. Which is greater: -24 or j?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.8, 18, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzqkwqqkqqkqwqu. What is prob of picking 2 q and 2 w?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*m + 3956 = 0, 4*m - 6596 = -5*k + 2*m. What is k rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:11 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1740?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11468 and 2440.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(57)\/sqrt(3))**2 - (sqrt(19)*2 + -4).\nAnswer: -2*sqrt(19) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 2*t + 3. Let i(p) = p**2 - 3*p - 1. Let b be i(4). Let a(v) = -v**2 - 2*v - 2. Give b*x(u) + 4*a(u).\nAnswer: -u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 2, d: 8, n: 1, c: 2}. Give prob of sequence kkd.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6) + 58\/4. Let w = 10 - p. Suppose -3*u + 4*l - 7 = 3*l, 0 = 2*u + 4*l - 14. Is u less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 3*u**2 + 5*u + 2. Let l be a(-4). Let i be l - (80\/(-12))\/5. Is 0 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 7:22 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*x - 6*x. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18208114?\nAnswer: 2, 29, 313933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188269586 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -126220582 divided by 847118?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -1.3. Suppose -2*p + 102 = -8*p. Let h be p\/(-3) - ((-91)\/21 + 5). Sort h, 0.4, r, -1 in increasing order.\nAnswer: -1, r, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/9 - 138568*z\/9 + 2400136328\/9 = 0. Calculate z.\nAnswer: 34642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/120 + r**4\/24 + r**3\/6 - 5*r**2. Let i be o(-1). Let w be (-8 - -8)\/(i - 1). Is 1\/15 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101379094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 56. Suppose 0 = 3*w - 64 + v. What is the lowest common multiple of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 14*v - 176. What is the lowest common multiple of h(16) and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 7*m + 16. Let w be j(-5). Let u be (-3)\/4*-4*1. Solve u*i + 55 - 20 = 5*f, 3*i - 4*f = -w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2050862*b + 2050871. Give p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvvmrmrmvvqvmv. What is prob of sequence mq?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2890 - -2898. Put i, -4, 62 in increasing order.\nAnswer: -4, i, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000513 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - -3*sqrt(1216))*5 - sqrt(1216)*4*-5)**2 + -3.\nAnswer: 1945597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21084 + -1801. Calculate the greatest common factor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*w + 38*w - 90 - 204 = 2*a, -12 = 3*w - 2*a for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + 1)*(-5)\/(-10). Suppose z + v = -3. Calculate the common denominator of (340\/(-48))\/(4\/6) and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 2460058716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 883, 1761, 2639, 3517?\n\"Answer: 878*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 352935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/7 equal to 226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 7*z. Let g be r(-6). Let c be 7\/(21\/g) - 0. Let x = c + 77. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(3\/7))\/((m\/(((m*m**(7\/2))\/m)\/m))\/m)*m**(-7\/5)*m**(-20\/3)\/m assuming m is positive.\nAnswer: m**(-1049\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 20 - 86. Suppose -37 + 15 = -b. Calculate the least common multiple of b and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172 + -175. What is the remainder when 13 is divided by 1 - (5 - (y - (-16 - -4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) - (0 + sqrt(343) + -2*sqrt(343))) - sqrt(343)) + 0 + -1 - (5 + (1*(sqrt(343) - sqrt(343)*-3))**2 + -4).\nAnswer: -5490 - 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(180) + 2)**2.\nAnswer: -905 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, -5, -3\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-6 - (-7 - 7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68127 < 68127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.175 * 668482.\nAnswer: 116984.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -3063?\nAnswer: 3064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -112*j**3 - 11*j**2 - 4*j + 2. Let s(h) = -h**2 + 10*h + 21. Let m be s(12). Is a(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7675)\/(-9800) - (-9)\/(-24). Is 1 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 5415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzbzb. What is prob of picking 2 z?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 7*l. Calculate q(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16106?\nAnswer: 2, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.451 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 7. Suppose -x*n = -102 - 78. Let h = 5 - -14. What is the remainder when n is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.42. Let q = t + -3.08. Let w be ((-4)\/(-20))\/((-16)\/10). What is the third smallest value in 5, q, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1592? (a) 0 (b) -2 (c) 1\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1624 in -5, -3, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77720728 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.83 + -9.53. What is the nearest to 1 in -15, b, 7, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + u + 236 = -u, -3*g = 2*u - 364. Let v = g - 87. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 3*v - 1. Suppose 0 = -19*z + 16*z + 9. Suppose -z*l = l - 16. Suppose 45 = -5*f - 4*h, -12 = -l*f - 3*h - 47. Give u(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(7) + sqrt(720)*1)**2 + 0 + -1 + 3*sqrt(5).\nAnswer: 3*sqrt(5) + 979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zszsddwsw. Give prob of picking 3 s.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v. Let m be t(-1). Let g be m\/(-3)*(3 + -24). Suppose -3*y + i = -y + 1, 0 = 3*y + i + g. Are y and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*b = 46, 54*a + b - 24 = 53*a. Let t(l) = l**3 + 14*l**2 - l + 12. Let w be t(-14). Calculate the greatest common divisor of a and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, -2\/12107, 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -3*r**3\/2 + r. Let f(l) = 2*l**2. What is f(n(y))?\nAnswer: 162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*i**2 - 7*i**3 - 121*i**2 - 2 - 8*i**3 + 0*i**3 - 3*i**3 + (3 - 1 - 3)*(0*i**3 + 0*i**3 + 2*i**3) in the form r*i**3 + c*i + s*i**2 + w and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 10:52 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + y**2 - 3*y**2)*(-595 - 544 - 2*y + 581).\nAnswer: 8*y**3 + 2232*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*y - 5515 = 54*y + 4544 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5475 + -1?\nAnswer: -5476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 662 - 666. Let o be 2 - 0 - (-16)\/(-6). Which is the nearest to o? (a) r (b) -6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7611 or 28925?\nAnswer: 28925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 9 = -3*n, 2*y - 6 + 21 = 5*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66.8 + -65.983. Let h = 0.917 - v. Which is smaller: h or -613?\nAnswer: -613","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 2, s: 1, c: 1, e: 1, l: 1}. What is prob of picking 1 a and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - ((-2)\/2 + 1). Suppose 2*d + 2*p - 18 = 0, 4*d - 8*d + k = -4*p. Solve o + 6 = 5*u, -d*o + o - 5*u = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 - 6 - 11*p**2 + 4*p**2 - 6*p + 1 + 12*p. Let i(m) = -4*m**3 + 8*m**2 - 7*m + 6. Calculate -6*b(k) - 5*i(k).\nAnswer: 2*k**3 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6183 divided by 3\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97044 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5\/45 - 5*232\/(-16920).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-16)*d)\/d)**14\/(d**(1\/3))**45 assuming d is positive.\nAnswer: d**(-239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0835404885 + 4903.5664135115. Let g = 4959.6499 - s. Let o = g - 56. Round o to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 10840478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 1:39 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1598 divided by -17.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43862 - -43867. Let n = 10 - 5. Solve -20 = -5*k - n, -d*k + 10 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2\/57, -4, 3, 4 in ascending order.\nAnswer: -6, -4, 2\/57, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -75877500 to the nearest 100000.\nAnswer: -75900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -264 + 481. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551401 (base 6) in base 7?\nAnswer: -250204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5459*d**2*w**3 - 8304*d**2*w - 68*w**3 + 110 wrt w?\nAnswer: 32754*d**2*w - 408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = 0, 0 = -2*t + t - 5*s + 30. Let u(o) = 0*o - 7*o**2 - 5*o + t*o. Suppose b - j + 0 = 1, 2*j = -b - 5. Determine u(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1529*h**4 + 1767 wrt h?\nAnswer: 6116*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - o**2. Let t(l) = 276*l**3 + 253*l**2. What is 506*q(i) + 2*t(i)?\nAnswer: 46*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27079 and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011 plus 5.8?\nAnswer: 5.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.7. Let p be 4\/(-12) - (-4)\/18. Which is the biggest value? (a) l (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2742 - 21*n**3 - 2742 + 0*n**3.\nAnswer: -21*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 69 + 77 - 211 + 67 + 2*f + 59. Determine m(-26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 216165 = -5*q, -2*q + 5*c = 10*c - 86443. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 12:45 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 890*d**3 - 902*d**2 - 5328*d + 72 = 0.\nAnswer: -2, 6\/445, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 31 + 22 = 0. Let q(z) = z**3 - 3*z**2 - 1. Let o be q(3). Put 0, m, o in decreasing order.\nAnswer: m, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1\/3, -3\/1630, -3\/5 in descending order.\nAnswer: -3\/1630, -1\/3, -3\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 126539 = -63613. Is 95 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1808 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 8 = 3*j, -2*b - 3*j = -3 + 7. Suppose -2*i + 12 = b*t, 4*t - 3 - 3 = i. Suppose i*u + 5*s - 2 = 12, 5*u + 3*s - 35 = 0. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 9*y + 1 - 2 + 15*y to the form i + n*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2 + 120*z + 354. What are the prime factors of l(50)?\nAnswer: 2, 3, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456107663.2 - -107?\nAnswer: 456107770.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 12. Let i = -10 - -6. Is p != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 9\/(0 - -3). Let a be ((-6)\/6)\/(2 - (-39)\/(-18)). Suppose 0 = -a*f - 4 - 2. Sort -2, j, f in ascending order.\nAnswer: -2, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + o - 1. Let l be q(1). Suppose 5*y = -0*s + s - 28, 4*s + 20 = -l*y. Let p = 3 - y. Solve p = f - 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26021850?\nAnswer: 2, 3, 5, 283, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110 - -1010000010001000000?\nAnswer: 1010000010001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405 - 61*n + 43*n + 21*n + 405.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 989 and 433.\nAnswer: 428237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1145 by -6.\nAnswer: -1145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1474.2 + 1474.200002842. Round p to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*n - 160*n - 21 = 0. Let t = -11 + n. Calculate the highest common divisor of 35 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 20530648.\nAnswer: -3\/20530648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357398 is divided by 92.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -93445440 divided by -6\nAnswer: 15574240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 + 20*a - 44. Let j = -78 + 123. What is the remainder when j is divided by t(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/301971 and 39\/64139.\nAnswer: 624777999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -35. Let k = 28 + s. What is the units digit of (8\/(-3))\/((-4)\/k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -14*k + 5. Let r(p) = -41*p + 14. Give 6*r(n) - 17*w(n).\nAnswer: -8*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a69 + 0?\nAnswer: 6a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*l + 2*q - 3*q, 5*q + 7 = 4*l. Solve l = -2*z + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(136) - (sqrt(136) - -1*sqrt(136)*-2))\/sqrt(8) + (sqrt(1377) + sqrt(1377)*-2)*-5))**2*2.\nAnswer: 75106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -132805660, -132805657, -132805654, -132805651, -132805648?\n\"Answer: 3*s - 132805663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**3 - 5*t**2 + 2*t - 5. Let w(z) = 13*z**3 - 8*z**2 + 3*z - 8. Suppose 51 - 235 = 23*l. Give l*u(d) + 5*w(d).\nAnswer: -7*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17628 is divided by 139.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -1598 in decreasing order.\nAnswer: 9, -4, -1598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82546, -82551, -82554, -82555, -82554, -82551?\nAnswer: -82546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 0 - 8*x + 0*x**2 - 1\/3*x**3. Let h(v) = -6*v**2 + 11. Let t(l) = l**2 - 2. Let n(j) = -2*h(j) - 11*t(j). What is s(n(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3778 in 6, 0.1, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142533835 + -17928.4?\nAnswer: -142551763.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000)*-2)\/sqrt(6).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -880693 + 19?\nAnswer: -880676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(-3*sqrt(648) + sqrt(648) + sqrt(8)) - (6*sqrt(648))**2.\nAnswer: -23328 - sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51019302*a**4 - 105063990.\nAnswer: 204077208*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*z = -3*b + 21, 5*z = -3*b. Suppose -14 = -b*t + 6. Solve 3*k - 1 = -t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61716910?\nAnswer: 2, 5, 53, 116447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - j + 5 - 7 + 5*j**3 - j as b + u*j + d*j**2 + v*j**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 7172.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4729\/7 - 12\/21. Let m(q) = -f*q**3 + 3587*q**3 - 14*q**2 - 5*q + 15*q**2. Let w be m(5). What is w rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -33*o - g, -g + 6 = -31175*o + 31171*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27273 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 15*g - 67. Determine h(-20).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -81*l**2 - 19*l + 50. What is t(4)?\nAnswer: -1322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -476736.57 rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -98*r**3 - 11*r**2 - 31*r + 9. Let y(w) = -33*w**3 - 4*w**2 - 11*w + 3. Let q(u) = -4*m(u) + 11*y(u). What is the second derivative of q(l) wrt l?\nAnswer: 174*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v = -7*v + 3*v - 30 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 6*l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 102, -5, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3210 (base 4) in base 2?\nAnswer: 11100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 67, 4, 15 in decreasing order.\nAnswer: 67, 15, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 684 - 628. Calculate the remainder when s is divided by (-38)\/4*(-1 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j - 4 + 3 + 0*j + (-2 - 4*j + 2)*(-2 + 4 - 3) as o*j + z and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + x**2 + 4 + (x - 4*x + x)*(-x - 6*x + 6*x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -78*a + 6. Let p be z(6). Let s be p\/(-98) - -3*(-2)\/(-21). Solve -5*k = -5*c, -c = -s*k - 0*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45) + (sqrt(45) - 6*sqrt(315)\/sqrt(7)))*2)\/(sqrt(54)\/(3*sqrt(6)*-1)))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 292 + -289. Solve 2*q + 14 = -3*f - 0*f, -3*f = -b*q + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -1786?\nAnswer: -1811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 20 + 44)*(-z**3 - 21*z + 5 + 21*z) as h*z + o*z**2 + u*z**3 + i and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f + b + 574, 860 = 3*f - b. What is the highest common divisor of f and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by -523782\nAnswer: -97\/523782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90103 and -2.569.\nAnswer: 231474.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - (31 - 33)) + -70.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -165352 (base 14) to base 2\nAnswer: -10111111000101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-10 + -1 + 4 + (-162 - -147))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l - 482*l**3 + 481*l**3 - 316*l.\nAnswer: -l**3 - 364*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 5*z - 8*z. Let s = z + -8. Calculate the greatest common factor of s and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -12*m**4 + 21*m**3 + 21*m**2 - 21*m - 9. Let r(p) = -3*p**4 + 5*p**3 + 5*p**2 - 5*p - 2. Let y(d) = -9*r(d) + 2*s(d). Factor y(b).\nAnswer: 3*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*s + 2, 5*s - 6*s + u - 4 = 0. Which is the nearest to 1? (a) 3 (b) -49 (c) 2\/9 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -35917 and 0.04.\nAnswer: -35916.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2096, 5, -1.\nAnswer: -2096, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28930\/5720 - (-72)\/(-1248)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553716 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64164034, -128328070, -192492106, -256656142, -320820178, -384984214?\nAnswer: -449148250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mttmtmtmtttm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -413131 (base 5) in base 4?\nAnswer: -3103211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.051 - 32.051. Let o = a - -31.97. Round o to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2361680*j**3 - 5098138 wrt j.\nAnswer: -7085040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/30 + q**4\/12 + 73*q**3\/6 - 70*q**2. Give f(0).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145592\/7 - 20908. Let s = 808\/7 + l. What is the common denominator of s and -79\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = 13 - 113. Suppose -3*r - o + 14 = o, -4*r + 14 = -2*o. Solve -3*y + 13 = 3*p - k*p, 10 = p + r*y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/7 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*h - 14 = 0, 2*h - 8 + 4 = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 7158 and 7160 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 256?\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 4, -2, 0, -4\/3, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -364*m + 1306*m**2 + 1179396 + 4708*m + 1304*m**2 - 2606*m**2.\nAnswer: 4*(m + 543)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t - 5. Is 117 - (t - 6\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -1)*2\/(-4). Let r(z) = -z**2 - z - 1. Let w(g) = 7*g**2 + 6*g + 6. Determine h*w(j) - 6*r(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/18 and -7\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318759 and 278607?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997949629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 338\/11 (b) 0.16 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + c - 2*c + 95 = 0, -4*z - 5*c = 197. Let l = -24 - z. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89 - 19 + 3 + 49 - v in the form b*v + i and give i.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 322, 651, 968, 1267, 1542, 1787, 1996?\n\"Answer: -m**3 + 336*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5168.2 + -5168. What is the closest to -5 in -6, 1\/3, z, 2\/33?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13883 is divided by 339?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 18*p**2 + 70*p - 7. What is i(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsrs when four letters picked without replacement from ssrrsrs?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/8, -1, -5.1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - -32 - (0 + 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/26, -3\/5, -2?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:19 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*o - 10*o + 22*o - 15 + 0*o in the form n*o + c and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 399103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*7\/56)\/(-5*28\/(-210)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - 1300\/(-75)) + (-6 - -5)*4. Solve -2\/3*p**2 + u*p - 2\/9*p**3 + 16\/9 = 0 for p.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*r - 37, 25*r = -4*n + 8*r - 5*r + 43*r + 83 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4308 + -124973\/29. Calculate the common denominator of a and (-510)\/(-425)*-5*(-1)\/(27\/8).\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.639 rounded to 1 dp?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**3 - 6*n - 5. Let y be (-2)\/4 + 165\/(-30). Let w(f) = 0 - 2*f + 25*f**3 - 26*f**3 + f - 1. Give y*w(t) + p(t).\nAnswer: 3*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 69 = 87. Suppose 51*r**2 - q*r**4 - 36*r**2 + 0 - 12 = 0. What is r?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232848082?\nAnswer: 2, 17, 6848473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*k = -474*k - 120 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 950 - 864. What is the remainder when c is divided by (74 - 16)*2\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x + 8 = 4*c, -c - 13 = 4*x. What is w in -4*w**c + 2*w**2 + 10*w**2 - 2*w - 6*w = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5 - 267*u**4 - 522*u**3 = 0 for u.\nAnswer: -87, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 + 5*r**4 - 5*r**3 - 5*r**2 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3\/4, 2, 0.8, -0.07 in decreasing order.\nAnswer: 2, 0.8, 0.4, -0.07, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4611 - -3?\nAnswer: -4606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -985*m**4 + 204*m**2 wrt m?\nAnswer: -23640*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1046 + 1040. Sort 1, -59, w in descending order.\nAnswer: 1, w, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5\/6*(-14)\/((-266)\/(-57))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/1*((-517)\/858)\/47*(-126)\/4?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*o + 187 = 0, -o = 3*y - 5*o + 115. Let w = y + -18. Let n = 72 + w. Is n equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y = -b - 20, -4*y = b - 7. Suppose -y*s + 140 = s. Suppose -5*a + 61 = -2*a + z, a - 25 = 2*z. What is the remainder when s is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 111*f**2 - 332*f + 2. Let k be u(3). Sort -65, -33, k in ascending order.\nAnswer: -65, -33, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 - 1. Suppose 4*y + 20 = -y. Let x(p) = -8*p - 5. What is the remainder when b(4) is divided by x(y)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.47 - 3.47. Which is the nearest to 1\/3? (a) y (b) 2\/3 (c) -0.1 (d) 2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + 234*l**2 + 2345*l + 147. Determine p(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -44) + -3740 + 3696.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 990 divided by 356?\nAnswer: 495\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 5*z**3 - 2*z**2 + 0*z**2 - 3*z**3. Is 9 a factor of m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 19 + 1 = 0. Let n be (-2)\/c*(-12 - -2). Let m(i) = -19*i - 1. Let g be m(n). Calculate the highest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 8*g + 7. Let p = 143 + -148. Give z(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268192 is divided by 1628?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 241.7. Let n = 180 - i. Put -2, -0.15, -0.02, n in ascending order.\nAnswer: -2, -0.15, -0.02, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 + 0*j - 1\/3*j**5 + 16\/3*j**4 + 0 - 64\/3*j**3.\nAnswer: -j**3*(j - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:26 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1435084, 2870171, 4305258, 5740345, 7175432?\n\"Answer: 1435087*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 85 = 4*o. Let u = o + 12. Suppose -44 + 17 = -4*x + 3*p, -5*x - 2*p = -5. Sort u, x, 4, 14 in decreasing order.\nAnswer: 14, 4, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*b, -b - 6 = 5*q + 18. Let s(l) = l**3 + 5*l**2 + l - 7. Let r be s(q). Solve 0*z + 10 = -r*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 500 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -42, -1\/7.\nAnswer: -42, -1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 25*b**2 + 70*b + 9. What is the remainder when f(-4) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884343419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3 + 958*t**2 + 132615*t + 4302396 = 0.\nAnswer: -63, 1084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**3 - x**2 - 8*x - 30. What are the prime factors of n(9)?\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67961247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-2 + 2 + 2*r) - 393*r + 5606 - 5606 - 2 + 5 + 2*r - 5.\nAnswer: -387*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (0 + 1))\/(-17 - -18). Suppose -4 = 2*n - 4*n + 5*j, 4*j = 3*n - 6. Suppose -a = -b*a - n. Solve 3 = v + a*z, -9 = -v + 6*v - 2*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 7. Let z(f) = -6 - 4 - 10 + 2*f. Let w(g) = -11*a(g) + 4*z(g). Find the first derivative of w(d) wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 13*v - 24. Let i be u(3). Suppose 938 = i*x - 1312. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80)*3 + sqrt(80))\/sqrt(4))\/sqrt(4).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 48*a**3 + 1 + 3 - 90*a**3.\nAnswer: -42*a**3 + 4*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + d)*(0*d**4 + 5*d**4 + 0*d**4) + 2*d**2 - 2*d**5 - 2*d**2.\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**3 + 5450314*s**2 - 5450314*s**2 - 4 + 4.\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.83 - 17. Let v = r - -0.17. Let m = 20 + -21. Which is the nearest to v? (a) -4 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) -1\/3 (c) -66 (d) 40 (e) 7642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3650?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 4 (b) -14 (c) -1\/4 (d) -121 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8*j = 10*j + 6, 2*r = 2*j + 14. Solve -315*i - r = -314*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43\/2 + -953\/50. Find the common denominator of -19\/15 and c.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 2, -4 in decreasing order.\nAnswer: 8, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -1, 45, -5, 916 in ascending order.\nAnswer: -24, -5, -4, -1, 45, 916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93248*l**2 + 3304 + 93228*l**2 - 3304.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/2177 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10427, -20774, -30991, -41084, -51059, -60922?\n\"Answer: -y**3 + 71*y**2 - 10553*y + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.9 - 17. Which is the nearest to k? (a) 3\/4 (b) -3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*k**3 + 6*k + k**2 + 95*k**3 - k + 94*k**3 + 16 + 0*k in the form c*k + j*k**3 + a*k**2 + y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -23390 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1 + 0 - 2 + 13065*m - 13076*m. What is h(3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007806 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1216000 to the nearest 10000.\nAnswer: 1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j**3 - 247*j - 522*j + 61*j.\nAnswer: -39*j**3 - 708*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, n: 1, w: 1, q: 4, c: 2, a: 7}. What is prob of picking 1 w, 1 a, and 1 s?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*j - 26*j + 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjwqcc. What is prob of picking 2 c and 1 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 2 - 4*q**3 + 0*q**4 - 7*q + 14*q + q**4 - 3*q**2 in the form s + v*q + k*q**2 + p*q**4 + b*q**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131644*x**5 - 118538*x wrt x.\nAnswer: 2632880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -84*z - 22*z - 146 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 - -131. Which is the smallest value? (a) w (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 2*p - 14. Calculate q(6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733*l**3 + 13 + 1480*l**2 - 1480*l**2 - 13.\nAnswer: 733*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 2. Suppose 4*c + 6 = c. Let f be u(c). Suppose -h + 3*g - 1 = f, -3*g + 0 = -3. Solve -3*x = 1 + h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.124 + 1.234. Which is the closest to 1\/2? (a) 11 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-3)*-1)\/((-66720)\/(-62272)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {x: 4, k: 2, m: 7}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*(c**(1\/7)\/c)\/c)*c*c**1)\/(c*c*(c**(1\/3)*c)\/c*c**(-9)) assuming c is positive.\nAnswer: c**(200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 83.5 times -0.1\nAnswer: -8.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 2 a when four letters picked without replacement from boooooaaaayobo?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 5*z - 2*z + 3*z - 2*z + 2*z + (3*z + 0*z - z)*(1 - 3 + 1))*(-11 + 0 + 4).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 294.165 hours?\nAnswer: 1058994000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12430544 and 1312.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/10 and 37\/424206.\nAnswer: 2121030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaaqqaaqaaaaaqqq. What is prob of picking 4 q?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:43 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 2*f)*(0*f + 2*f**3 + 0*f) + 3*f - 3*f + f**4 - 5*f**4 - 2*f**4 + 5*f**4 + 33*f**4 + f**4 + 0*f**4.\nAnswer: 35*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0)**49*(k**(-1))**(4\/7)*((k*((k*k\/k**(-2\/7))\/k)\/k)\/k)**18\/(k**1\/k)**(-14) assuming k is positive.\nAnswer: k**(375\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3.88. Let q = 5.12 + i. What is the nearest to 0.1 in -3, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1736, -3467, -5194, -6911, -8612, -10291?\nAnswer: -11942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/4312 and 47\/13904792?\nAnswer: 681334808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 + 8*r - 4. Let x(o) = o**2 + o. Let n(z) = a(z) - 5*x(z). What is the remainder when n(-6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**4\/3 + r. Let v be s(1). Suppose c = v*c. Put c, 1, -5 in decreasing order.\nAnswer: 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5\/28, -5, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, -5\/28, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1065, -2136, -3207?\nAnswer: -4278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - w**2 - w**3 - 5 + (-1 + 0 + 2)*(0*w**3 + 0*w**3 - 2*w**3))*(-29*w + 13*w + 24*w).\nAnswer: -24*w**4 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5\/5 + 236*a**4\/5 - 48*a**3 = 0.\nAnswer: -60, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 2. Let j be q(-2). Let h = 187 - 418. Let p = 237 + h. Solve j*m + 14 - p = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 653*h\/2 + 663\/2.\nAnswer: -(h + 1)*(10*h - 663)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -214, -200, -182?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1548 divided by -16\nAnswer: 387\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/2 + 13852*y**3 - 360325*y**2\/2 - 55408*y + 720642 = 0.\nAnswer: -27717, -2, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 5*x - 29, -l - 2*x + 50 = 0. What is the lowest common multiple of 14 and l?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384426 (base 10) in base 5?\nAnswer: 44300201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1466304 and 3360.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5265*y + 5265*y + 26*y**2.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3584550505?\nAnswer: 5, 716910101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5877.318cm to meters.\nAnswer: 58.77318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 24 - (1 + -22) - 59.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/((-113)\/(-565))*(-6)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + 2*sqrt(72) + 2) + (sqrt(72) + -3*(sqrt(72) + sqrt(72)*1) + sqrt(72))*-4*5)**2.\nAnswer: 2664*sqrt(2) + 394281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6 + 1677*v + 1 - 1643*v. What is the tens digit of k(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 327478479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.684 - 0.316. Put -11, p, -5 in decreasing order.\nAnswer: -5, p, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2866.\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzpiztc. Give prob of sequence yiz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8785, -17569, -26353, -35137, -43921?\n\"Answer: -8784*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - j**2 + 1 - 53*j**2 to the form f*j + p*j**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 6. Let a(k) be the third derivative of k**5\/60 + 2*k**3\/3 - 89*k**2. Let g(o) = -3*a(o) - 2*d(o). Calculate g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -42, -88, -152, -234, -334, -452?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6))**44\/(v*v**(2\/19)*v*v**(-13)) assuming v is positive.\nAnswer: v**(-4809\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + 1*(sqrt(637) - (sqrt(637)*-1 + sqrt(637))))**2 + -4*((sqrt(637) - (sqrt(637) + -5))**2 - sqrt(637))*-6)*-5.\nAnswer: -910*sqrt(13) + 6190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(300)*-1).\nAnswer: -3 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14764026\/(-162) - 10\/20. Let b = 91139 + k. Calculate the common denominator of -11\/42 and b.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -340274 or 17?\nAnswer: -340274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 5) to base 16\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 2*v**3 - 10 - 1\/4*v**4 + v + 0*v**2. Let p be j(6). Sort 2, 5, p in increasing order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2455650 and -61\/1588950?\nAnswer: 27012150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3616496 nanoseconds in seconds?\nAnswer: 0.0000000003616496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 21. Solve 11 = v*o - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*h = 2*h - 5, 0 = -5*p - 2*h - 10. Suppose a + 5 - 2 = p. Let z be (a - (-13 - 3)) + 3. Solve 3*w = -w - z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/10 and 89\/96990.\nAnswer: 96990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203650\/9 + 22628. Which is the fourth smallest value? (a) -2 (b) -2\/13 (c) 0.0127 (d) k (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(156)*-2 - sqrt(156))*3)\/sqrt(12) - (sqrt(52) - (sqrt(832)*1)**2 - sqrt(52))).\nAnswer: -9*sqrt(13) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -18 - 6. Let i = -5 - g. What is the least common multiple of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -22. Which is the third biggest value? (a) 5 (b) i (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 6*i - 186. Let u(z) = 2*z**2 + 3*z + 6. Give 4*d(t) - 8*u(t).\nAnswer: -8*t**2 - 792","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**4\/48 + 89*a**3\/3 - 15842*a**2 - 245*a + 3. Factor n(c).\nAnswer: -(c - 356)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/16 + 21\/(-84)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) 0.4 (c) -1 (d) 14.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (72\/(-4))\/((2\/(-18))\/(6\/36)). What is the highest common divisor of t and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u - 1. Let s(n) = 13*n - 13. Let a(b) = -19*b + 18. Let l(d) = 5*a(d) + 7*s(d). Give 11*l(y) - 6*p(y).\nAnswer: -2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.1, 397, 50, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4318, 30898, 79742, 150850, 244222, 359858?\nAnswer: 497758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 5:19 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 16?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 - 17. Let z(n) = -21*n**2 - n + 64. Determine -15*b(k) - 4*z(k).\nAnswer: 9*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 36. Determine x(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 21*c = -5184. Let h = c + 927. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-667 + 668)*(-26)\/(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/38 in -3, -2\/9, -4, -10, 10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -5 (c) 0.056 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 6 + 17)*(0 - 2*j + 0 + (-4 - 1 + 4)*(-2*j + 0*j + 0*j) - 5*j - 3*j - 3*j) to the form w*j + i and give w.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127328 (base 11) to base 6.\nAnswer: -4142043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 p, and 1 o when three letters picked without replacement from {x: 2, e: 1, p: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/((-20450)\/(-2556) + -8). Let f = 702 - w. Suppose -4*k + 40 = -56. Calculate the remainder when f is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16836619 * 4.\nAnswer: 67346476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14559 + 14562. What is the fourth biggest value in -4, 1\/8, 2\/5, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -77 (c) -3 (d) -3\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42, 54, 78, 120, 186?\n\"Answer: r**3 + 5*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 u, 1 q, and 1 m when four letters picked without replacement from dtottooomtquotdt?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3242592 and -5\/360288.\nAnswer: 3242592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n**2 - n + 15. Let k(p) = -12*p**2 - 12. Give -3*k(x) - 2*r(x).\nAnswer: 12*x**2 + 2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -436 and 2.82?\nAnswer: -1229.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - j = -36. Let o(x) = 9*x**2 - 8*x - 6. Let v be o(j). Suppose 0 = 5*w + 65 - v. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-4)*q*(q**(-2)*q)\/q*q*q**(1\/5)*(q\/(q\/q**(-4)))\/q assuming q is positive.\nAnswer: q**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17033, -18058, -19773, -22172, -25249?\n\"Answer: v**3 - 351*v**2 + 21*v - 16704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.75 - -0.15. Sort 1\/6, a, -3 in decreasing order.\nAnswer: 1\/6, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/2 + 1581*o**2\/2 + 94675*o - 2341416 = 0.\nAnswer: -1448, -154, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3685)\/(-10) + -6)*-2. Let x = -3607\/5 - m. Determine h, given that 26\/5*h**2 - 32\/5*h**4 - x*h**3 + 26\/5*h + 6\/5 - 8\/5*h**5 = 0.\nAnswer: -3, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 16 = -0*x. Let g = x + 8. What is the closest to 0.1 in -0.4, -0.5, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 843863480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782744?\nAnswer: 2, 3, 59, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/8843132 + 4350846705\/75935974484. Let p be (-574)\/2770 + (-6)\/(-30). Let t = p - u. Which is the closest to -1? (a) t (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532\/6*36\/14 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4 + (-1 - 6 + 4)*(1 + 2 - 2) + 0 + 2 + 2)*(0*b - 3*b + 2*b)*(2 + 3 - 3).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 4*a**6\/15 - 2*a**5\/5 - 3*a**4\/10 + 2*a**3\/3 - a**2\/5 + 6. Solve u(j) = 0 for j.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 - 459084810*p - 10537943138636805 = 0. Calculate p.\nAnswer: -45908481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/14*309260\/(-6627)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 41 = -j, j + 17 = z + 3*j. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67013828.\nAnswer: 2, 7, 2393351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1564, -1563, -1564, -1567, -1572, -1579, -1588?\n\"Answer: -c**2 + 4*c - 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**3 - 3*q**2 + 6. Let h(k) = 0*k + 17 + 128*k**3 - 105*k**3 + 0*k - 8*k**2. Let y(d) = -6*h(d) + 17*s(d). Find the third derivative of y(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 4134332\nAnswer: -8268664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.00041, -1, 1, 0.16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7287*l + 79662 = -3915*l - 4153*l for l.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + y - 3*y)*(-2*y**3 + 5 - 5 + 0*y**3 + 5*y**3 - 4*y**3 + (y - 3*y + 0*y)*(-1 + 1 + y**2)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 55*d - 86. Give w(0).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.69889793 and 226719.\nAnswer: 226714.30110207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18426, 27\/2, 4, -0.5, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 422*x + 82. Determine q(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 957297 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: Suppose -j - 5*s + 8 = -12, 5*j = -2*s - 15. Suppose 3*w = -0 + 9. Sort j, w, -4 in increasing order.\nAnswer: j, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 15. Calculate q(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**2 - 7. Let f(k) = -6*k**2. Suppose 0 = 6*c - 5*c + 1. Let j be f(c). Let t(n) = 5*n**2 - 3. Determine j*y(o) + 14*t(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -16, -164, 5, 4, 1 in descending order.\nAnswer: 5, 4, 1, -7, -16, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o*y**4 + 967*o*y**3 + 3*o*y**2 + 4922710*o + 1394*y**4 + y**3 + y**2 wrt y.\nAnswer: 24*o*y + 5802*o + 33456*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -553 - -581. Let l = r + -16. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 + 3*c**2 + 2*c. Calculate y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -77.8?\nAnswer: -77.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(-1 - 14\/(-3)). Let b = v - 89\/2. What is the smallest value in -2, b, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/9)*g**8*(g\/(g*g**(6\/13)*g))\/g**(2\/5) assuming g is positive.\nAnswer: g**(3656\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + 4*x**3 + 6*x**3 - 30*x**3 + 6*x**3 + 7*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.8 - 6. Let p = 0.22 - 1. Let w = p - -1.28. What is the nearest to g in w, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 83?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5135606 - -114?\nAnswer: -5135462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 92*g + 393. What is a(9)?\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 13*f**2 + 75*f + 6. Let z be y(17). Let x(n) = n**3 - 2*n**2 + n - 2. Let a be x(5). Let v = z - a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and 454703?\nAnswer: 454696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 39*a**2 + 390*a + 9089. Determine p(-43).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1\/6*q**5 + 0*q**2 + 0*q**3 + 0 + 0*q + 1\/6*q**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 42 = -22. Solve -2*g + 2 = -j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29696491885 and -0.3?\nAnswer: 29696491884.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2210, -2124, -2038, -1952?\n\"Answer: 86*z - 2296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 11*j**2 - 23*j + 126. What is h(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(4 - 1) + 1. Factor a + 5*a**2 + 2 + i*a - 6*a**2.\nAnswer: -(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkck when four letters picked without replacement from {k: 3, h: 2, j: 7, c: 8}?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*u = -2995020, 2*x + 5*u - 9*u = -1198016. What is x rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y*y**5)**(-11)\/((y\/y**(2\/5))**(-38))**(-1\/6) assuming y is positive.\nAnswer: y**(-349\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 19\/125 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -136 + 7 + -17 + 46 + 29\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 199*p**2 + 7*p - 5741. Let v(f) = 198*f**2 + 9*f - 5719. Let g(x) = -3*v(x) + 4*w(x). What is the first derivative of g(h) wrt h?\nAnswer: 404*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 6, g: 2, x: 1, j: 2}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggpa when four letters picked without replacement from {a: 7, p: 5, g: 2}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5\/3 - 448*j**4 - 5348*j**3\/3 - 888*j**2 + 5350*j\/3 + 1336 = 0?\nAnswer: -668, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32563572551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2. Let g(l) be the first derivative of l**4\/24 + l**2\/2 + 2. Let j(q) be the second derivative of g(q). What is y(j(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 42. Let b(t) = 3*t + 42. Determine 4*b(h) + 5*y(h).\nAnswer: 2*h - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2496, 5, 3, -2, 35, -5 in decreasing order.\nAnswer: 35, 5, 3, -1, -2, -5, -2496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -255 + 8?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 23a6139?\nAnswer: 23a6135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/43086 - 41083\/43086. Find the common denominator of o and 55\/394.\nAnswer: 16942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3278 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (1 - 1)) + (48 - -54 - 214).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(168\/(-36)))\/((-1)\/(-2))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -43, -37, -31, -25?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8666 + 12360. What are the prime factors of u?\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 - 1 = 0. Let n be (-16)\/(-56) + (-30)\/7. Put o, 0, n in ascending order.\nAnswer: n, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 + 0 - 2 + 0)*(-6 + 3 - 6) as p*s**2 + y + j*s and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 4, -3\/4, 100.67, 7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189.8967 months to millennia.\nAnswer: 0.015824725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2309, -2701, -3091, -3479, -3865?\nAnswer: -4249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssmsmum. Give prob of picking 1 m, 2 s, and 1 u.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 2\/(-3) + 748\/33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 14 = -5*l + 16, -5*l = -3*g - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 25323511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h + 65. Let x be i(17). Let l(t) = 5*t - 1. Let b(u) = 4*u. Give x*b(j) + 2*l(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 + 49 - 49.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31 and 140835938.\nAnswer: 140835969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22265619 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -297*t + 5095*t**5 + 1608*t**2 + 297*t + 602*t**2 + 251*t**2 wrt t?\nAnswer: 305700*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 8. Suppose 5*g + 12 = 4*z, 0 = -j*g + 6*g. Suppose 5*b + 239853 = -s - 140132, 379991 = -s - z*b. Round s to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 times -4\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273 + 577 + 7*p - 304.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353584.\nAnswer: 2, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 6*m - 4. Let n be j(4). Let k be n - 1 - (-14)\/7. Let a(x) = -4*x**2 - 5*x + 2. Let w(g) = -6*g**2 - 8*g + 3. Determine k*w(v) - 8*a(v).\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 2*b + 6*m - 123, 0 = -3*m + 36 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -344 + 347. Let a(o) = 3*o**3 + 4*o + 2. Let i(t) be the third derivative of t**6\/60 + t**4\/8 + t**3\/3 - t**2. Determine j*a(f) - 4*i(f).\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffpppppffpf. What is prob of sequence pfpf?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 47*a**2 - 525*a - 133. What is u(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231807672 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 988073 (base 10) in base 2?\nAnswer: 11110001001110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*o - 1248, 10*q - 5*o = 8*q + 818. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 18.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4331.54 - 4270.5173. Let s = 61 - p. Round s to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 1172\/47?\nAnswer: 1172\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -3. Let s be 2 - -3 - (0 - 65\/(-15)). What is the nearest to v in s, 1\/4, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 3\/7, 0, -1\/4, -8890, -2\/9 in ascending order.\nAnswer: -8890, -1\/4, -2\/9, 0, 1\/6, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**3 + 4524*p**2 - 4537*p + 5. Calculate n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*m = 0, 0*m + 3*m = 6. Let q(d) = -t*d**3 + 54*d**2 - 61*d**2 - 5 + d**3. Let k = 12 - 19. What is q(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 20 - 6 + (-1 - 1 + 3)*(-2 - 3 + 1))*(-o**3 + o**3 - 4*o**3).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:41 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49819 at most as big as 49820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 368*o**3 - 7*o - 2.\nAnswer: 2208*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-31773)\/(-35)*20\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3. Suppose -2*w - 3*w + 5 = 0. Let h be r(w). Let o = h + 14. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6513227 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(432) + sqrt(432)*-1)**2 - (sqrt(27)\/(-2*sqrt(144)))**2.\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 t when four letters picked without replacement from ttkttttttktktkkt.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + s = 44 + 65, -s = -3*p + 59. Let u = p + -13. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136381591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*a + 324948 - 817548 = -97*a + 5380*a for a.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 1\/6*g**3 - 1\/80*g**5 - 1\/16*g**4 + 0 - 22*g + 0*g**2. Factor i(x).\nAnswer: -x*(x - 1)*(x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.4 + -96804747.\nAnswer: -96804820.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -1 - (4 - 3)) + 697 + -666?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**4 + n - 1. Let b(j) = 34*j**4 - 4*j + 14. Let v(u) = -b(u) - 4*s(u). Find the first derivative of v(m) wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13210414 (base 5) in base 11?\nAnswer: 90186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaa when three letters picked without replacement from {k: 5, p: 5, a: 3}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21925463 and 16275.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16901 + 85704\nAnswer: 68803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.6 - 22.5. Which is the nearest to 1? (a) -13\/4 (b) h (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 20 = -4 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 55\/4 of a second?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v = -6 - 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 425959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39630 divided by 39630.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t. Suppose -3*p = -t*p - 165. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4090, -282, 0, -1, 3 in decreasing order.\nAnswer: 4090, 3, 0, -1, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000000100 (base 2) in base 13?\nAnswer: -916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 634, -2, -17, -386 in decreasing order.\nAnswer: 634, -2, -17, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-600)\/10)\/(-12) - (1 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 179148*l\/7 - 4011750738\/7.\nAnswer: -2*(l - 44787)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - c + 1. Suppose 3*j - 3*z = -6*z + 6, 11 = j - 2*z. Suppose -4*w + 9*w = j. Determine h(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -657*p**3 - 1387*p**2 - p - 3460755?\nAnswer: -1971*p**2 - 2774*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.8 + 34. Suppose -3*d - 5*s = -d - 60, -5*d - 2*s + 108 = 0. Suppose -p - d = 3*p. Which is the third biggest value? (a) m (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -162. Solve -24 - 4 = -s*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(((g\/((g*g\/g**(-1\/4))\/g)*g*g)\/g)\/g*g))\/g)\/(g**(-17)\/g)*(g*g*g*g*g**(1\/2)*g)**(3\/13))**(-35\/6) assuming g is positive.\nAnswer: g**(-11235\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 3123\nAnswer: -218.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q. Let r(w) = w + 7. Suppose 0 = 14*g - 16*g - 8. Let f be r(g). Suppose -8 = b - f*j - 4, -3*b - 5*j + 2 = 0. Give d(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 5. Let z be (-11)\/(-4) + (-2)\/r. Suppose 3*g = -0*c - c + 48, -2*g = -z*c - 21. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/14)\/(30\/(-12))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 - 429 = -4*y. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (sqrt(245) + 1)**2*-6 + 3*(1 + sqrt(245))*3.\nAnswer: -1467 - 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2863 - -2862. Let w be (1\/(-4))\/(4\/(-8)). What is the nearest to j in w, -5, -13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10873, -10827, -10755, -10657?\n\"Answer: 13*i**2 + 7*i - 10893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -13. Let z = 675 - 575.4. Let o = z - 100. What is the closest to q in o, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110111101000000100110000 - 10?\nAnswer: 10110111101000000100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 52 = 43. Let o be n + 271 - (-4)\/(-2). Suppose 196 = 2*g - o. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2936187 and -2936189 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 34 + (-14 - 7 - -39) + -20?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109684 = -5*d + 2*v + 52672, -2*d = -2*v - 64940. Let u = 584639\/18 - d. Find the common denominator of u and 5\/51.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - 2.2. Let a = 6 + -6.2. Is g greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -11758?\nAnswer: 11763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*c - 30*c - 35 - 10)*(-2*c**3 - 4*c**3 + 2*c**3) as z + v*c**2 + w*c + d*c**4 + a*c**3 and give a.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -37 and -37 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -401 + 424. Let b = 1089 - 560. What is the greatest common divisor of b and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*j - 3)*(-5 + 13 - 2)*(0 + 0 - j) as b*j + o*j**2 + f and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 158 + 1182 = 0. Let g = o - -415. Is -1\/2 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {f: 3, h: 1, z: 6, t: 9}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.001 (c) -8 (d) 0.1 (e) -829\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29766186 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -37*g**2. Let u(h) = 11*h**2. What is z(u(k))?\nAnswer: -4477*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-6))\/((-1)\/39))\/(-1) + 198 + -211\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3516 (b) 0 (c) 11761\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgggraagggtr. Give prob of sequence rag.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -315, -1835, -4371, -7917, -12467?\n\"Answer: a**3 - 514*a**2 + 15*a + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268 + -247. Suppose v*m - 19611 = 12*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(833) + -3 + (sqrt(833) - (5 + sqrt(833))))**2.\nAnswer: -112*sqrt(17) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -146*c**3 + 5*c**2 + 2*c - 2. Give u(-1).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Let l(n) = -n**3 - 8*n**2 - 7*n - 2. Let y(i) = 1. Let g(a) = -l(a) + 5*y(a). Let f be g(-7). Solve -2*r = -4*q - 2 - 16, -o*r - f = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540259165.\nAnswer: 5, 31, 59, 59077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002784339 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**2 - 615*w - 612 = 0.\nAnswer: -204, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/70)\/(2 + 204\/20). Do -2 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132.94 - 23.94. Let v = -2165 - -2274.1. Let m = v - h. What is the third biggest value in 1, 4\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12546)\/328*(-44)\/(-99)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*k**4 - 5*k**3 + 6*k - 6470 wrt k.\nAnswer: -40*k**3 - 15*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 1. Suppose -5*f + 26 = 2*l, f - 11 + 4 = -l. Let k(c) = -c**2 + 6*c - 6. Let t be k(f). Give m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 430*d - 11. Let l(h) = 647*h - 17. What is 7*f(r) - 5*l(r)?\nAnswer: -225*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1053) - 4*-1*sqrt(1053) - -3*(1 + sqrt(1053)))**2 + -2.\nAnswer: 2592*sqrt(13) + 404404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(10)\/sqrt(2).\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-1850)\/(-37))*(-44)\/(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1395 and 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 51 - 60 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4172)\/(-2) - (4 - 3). Let a be ((-2)\/6)\/((-5)\/f). Let r = a + -97. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 4. Let o be k(-3). Suppose -33 = 5*x - 18. Let h be (x - 2)*(-7)\/5. Solve o*t + 10 = 3*r, -r = -h*t + 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - x**2 + 4*x + 5. Let j be a(-8). Let t = -89 + j. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8405)\/(2\/(8\/((-4)\/1))). Suppose s + f - 2105 = -0*s, -f = 4*s - h. Round s to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Let t be 5\/20*x\/5. Let m = 0 + 0. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**3 + 9*w**2 + 11*w + 21. Suppose -4*f + 20 = -20. Let k(j) = 4*j**2 + 0*j + f + 0*j**2 + 3*j**3 + 5*j. Let a(g) = -4*h(g) + 9*k(g). Give a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2176.204019 to one decimal place.\nAnswer: -2176.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7)*1 + -5).\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1440132*g + 126362?\nAnswer: 1440132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -13*u**9\/1008 - u**6\/30 + 47*u**3\/3 + 25. Let b(j) be the third derivative of a(j). Find the third derivative of b(l) wrt l.\nAnswer: -2340*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40540 = 125*o - 84585. Calculate the lowest common multiple of 1287 and o.\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 4:11 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 880, 879, 878, 877, 876, 875?\n\"Answer: -v + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.140158 + 46.14015. Let p = d - 31. Round p to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*r + 12, -55*d + 10 = r - 59*d. Suppose -2*i = -2 - 2. Let g(l) = -r*l**2 - 1 + 10*l - 13*l - 1 + 0*l**i. What is g(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {i: 3, k: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r + 59. Let w be t(6). Suppose 3*l = -4*z - z + 393, 4*z = l + 328. Suppose z = 5*v - 19. Calculate the highest common divisor of v and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5 + 16*g**4 - 22*g**3 - 16*g**2 + 24*g = 0?\nAnswer: -1, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o + 3*x = -24*o - 22*o, -3*x = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddddmmdddmdmd. What is prob of sequence dmm?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(66*g**2 + 32*g**2 - 2653 - 6*g + 2654).\nAnswer: 98*g**2 - 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**0)*s*(s\/s**(-1\/4))\/s)**(18\/11)*(s**(-1\/6)\/s**(-1\/4))\/((((s\/s**(2\/5)*s)\/s)\/s)\/(s\/(s*s\/s**(3\/4)))) assuming s is positive.\nAnswer: s**(376\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5075 - -2843. Let f = 10245 + -6632. Let c = o + f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*r + 52*r - 4*r**3 - 113*r.\nAnswer: -4*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1845 is divided by 374.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4102 - -51315?\nAnswer: 55421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 9, 5*z + 11 = m - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9}. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 33 = 3*o, 2*t + 2*o = -o - 9. Let i(p) = 4 - 10 + 2 + 5. Let l(a) = 2*a**2 + 6. Calculate t*i(v) + l(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 12 = 32. Let j = 353303 - 353302.5. Which is the fourth biggest value? (a) j (b) 0.2 (c) n (d) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, 3, 15 in increasing order.\nAnswer: -0.19, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 468 - 418. Calculate the remainder when 228 is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*4*((-9)\/(-6) - -2). Let p = a + 214\/3. Factor 0*m**3 + 0 - p*m**4 + 2\/3*m**5 + 4\/3*m**2 - 2\/3*m.\nAnswer: 2*m*(m - 1)**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwzokkoqkz. Give prob of picking 2 o.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5369828311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 571445383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 11*o**2 - 65*o + 20. Let v be m(4). Solve v = -11*i + 10*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1014123 (base 5) to base 6\nAnswer: 205420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/4*2\/1. Let a(w) = -w**2 - w - 1. Let i(g) = -3*g**2 - g + 1. Let x(m) = -4*a(m) + i(m). Is x(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -11. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52963 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 12 (c) -487 (d) 606.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*h*i**2*v - 6*h*i**2 - 3*h*i*v - 2*h*p - 4*i**2*p - 28*i**2 + 146*i*p - 4290*p*v wrt i?\nAnswer: -168*h*v - 12*h - 8*p - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-80)\/28)\/2*-28. Suppose -29*d + 31*d = c. Calculate the least common multiple of d and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + w - 1. Suppose -3*z = -0 - 15. Let b(p) = -p**3 + 6*p**2 - 3*p + 3. Let s(m) = z*d(m) + b(m). Calculate s(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -590.999998218 + 591. Round g to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184775.4 tonnes to kilograms.\nAnswer: 184775400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**3\/6 + n**2 + 23. What is x in i(x) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 11) to base 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -703 + 703. Solve k*n + 2\/7 - 2\/7*n**2 = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4503, 4502, 4501, 4500, 4499?\nAnswer: 4498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 1, -28, -5, 3 in increasing order.\nAnswer: -28, -5, 1, 3, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8673 = -39*t - 162*t + 2181 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.62 and 4.1446478.\nAnswer: -6.4753522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 2, 10\/87, 0.4 in increasing order.\nAnswer: -0.02, 10\/87, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 - 19*k - 5. Let w(f) = -4*f**2 - 18*f - 6. Let s(i) = -2*a(i) + 3*w(i). Calculate the remainder when 4\/4 - (0 + 7*-8) is divided by s(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -5*q - 5*s - 0*s, 67 = 2*q + 5*s. Suppose 4*w - 33 = q. What is the remainder when w is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16*k + 16. Let f(p) = -48*p - 47. Let c(u) = -7*b(u) - 2*f(u). What is the tens digit of c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35445420?\nAnswer: 2, 3, 5, 196919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2372 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6091\/2 + 63\/(-126)?\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.95492 * 5.\nAnswer: -174.7746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4484 and 2432?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 14.98. Let t = f - -0.12. Which is smaller: t or 15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + 1. Let i be (-2)\/(-4) - 2\/6. Put a, i, 0.3 in descending order.\nAnswer: 0.3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.155771473\nAnswer: 0.0778857365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 - 2*n - 3. Let f(j) = j**2 + j + 1. Let w(c) = -c + 3. Let p be w(0). Let m(g) = p*f(g) + y(g). Calculate m(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4081, 0.5, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - 1122111?\nAnswer: -1121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 4b?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - cbc25?\nAnswer: -cbbfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -126, -285, -508, -795, -1146?\nAnswer: -1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1002903 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 3988.\nAnswer: 27916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - n**2 + 2273*n**3 - 2088*n**3 + 2*n**2.\nAnswer: 185*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*t**3 + 21*t - 4*t**3 + 14*t + 7*t as u + k*t**3 + p*t + w*t**2 and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.3 (b) -3\/8 (c) -0.06 (d) -1.538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 8. Let v be o(4). Suppose -4*i + 4 = -v*z, 0 = 3*i - 4*i + 3*z - 9. Let x(y) = y**2 - 6*y - 5. Give x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -58, -0.7, 0.32, -44\/3, 0.3, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -10*n**4\/13 + 1698196*n**3\/13 - 7811510*n**2\/13 + 3396284*n\/13 + 2717040\/13 = 0?\nAnswer: -2\/5, 1, 4, 169815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3981 - -11.6019. Let y = -13 + 8. Sort 4, p, y in ascending order.\nAnswer: y, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431574719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-4))\/((-10)\/(-6)*(-650)\/125).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -84, -3\/7 in ascending order.\nAnswer: -84, -3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 963, 1079, 1195, 1311, 1427, 1543?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*q - 10355 - 58735. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 467*m**3 - 10531*m**3 + 2430*m**3 + 5353*m wrt m.\nAnswer: -45804*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.31512 + 23.\nAnswer: 21.68488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2500826618 - 247578752948\/99. Let d = -31133 + n. Find the common denominator of 50\/81 and d.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 16 = -2*p - 2*q, 0 = 2*p + 2*q + 10. Let w(m) = m - 1. Let j(z) = -139*z + 691. Let i be j(5). Let u(b) = -b + 2. What is i*w(t) + p*u(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01774 * 268.\nAnswer: 4.75432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*2*1\/25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 202910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = -d + 2*g, d - 3*g = 7. Let a be d*((-196)\/16)\/(-7). Let u = -6 + 3. Is a at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -14 - (211 + -195).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4\/5 - 296*j**3\/5.\nAnswer: -4*j**3*(j + 74)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327299.\nAnswer: 13, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1167*n**3*z - 12*n**3 + 3*n**2*z + n**2 - 9366*n*z + 24*n wrt n.\nAnswer: 7002*n*z - 72*n + 6*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 285 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6256*h**2 + 136*h. Let t(d) = 139*d**2 - 3*d. Let n(i) = -6*k(i) - 272*t(i). Let u(y) = 2*y**2. What is u(n(b))?\nAnswer: 147968*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 9*a**8\/4 - a**6\/3 + a**5\/20 + 3*a**4\/4 + 23*a**3\/6 - 3*a**2\/2 - 2*a + 2716. What is the third derivative of d(l) wrt l?\nAnswer: 15120*l**3 - 240*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (44\/(-33))\/((-6)\/(-9) + -1). Let u be 35\/(-15) + -1 + f. Let o = -1.34 + 1.14. What is the closest to u in -14, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 5 = -15. Suppose -o*k = -7*k + 5. Let b be 1 + 3\/(72\/(-26)). Which is greater: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492813689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 7*k + 1. What is the remainder when 74 is divided by a(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.0169 - 0.2169. Put -1\/3, 5, o in ascending order.\nAnswer: -1\/3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*s - 106 + s**2 - 12*s - 4*s)*(-s - 11*s - 7*s) in the form t*s**2 + x + v*s + c*s**3 and give t.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111101000010111000 - -1011?\nAnswer: -1000111101000010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 + 16 - -32) + 18 - (0 + -34 + -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 68 = -o - 3*o + 6*z, -8 = 2*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1110\/(-165) - -8*(-8)\/(-8). What is the third smallest value in 1, 7, -1, m, 1.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n - 113. Calculate the remainder when f(-19) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r + 6. Let o(m) = -7*m - 21. Let s(v) = -4*v - 10. Let k(u) = -3*o(u) + 7*s(u). Determine -3*k(j) - 4*x(j).\nAnswer: -3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 8, 15, 24, 35, 48, 63?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 18. Let j be (8\/(-10))\/(f\/(-75)). Let r be j\/(-10) + 18\/5. Solve 5*h = -l + 2*h, -r*l + 5*h = -14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 18001397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 7*j + 9*j**2 + 6 - 1 - 42*j**2 wrt j.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 17*j - 12. Let k(x) = 102*x - 164. Let r(c) = 60*c - 96. Let p(q) = -7*k(q) + 12*r(q). Determine -4*m(l) + 11*p(l).\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-11))**16 assuming z is positive.\nAnswer: z**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93554840 - -53554840. Round o to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19533?\nAnswer: 3, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 5:38 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3)*v\/v**4)\/(v**(1\/2)\/v)**43)\/(v**(-2)\/v**(2\/17))**44 assuming v is positive.\nAnswer: v**(11459\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373?\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/4617171 and 107\/1296048.\nAnswer: 73874736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2340 and 2860?\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 170 = 2*f + 158, 0 = -5*f - 3*b - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 324*b**3 - 15*b - 323*b**3 - 7*b - 2*b**4 + 11*b**4 - 10*b**2 to j*b**2 + d*b**3 + q*b + g*b**4 + t and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**5 + 8*i**4 - 8*i**2 + 3*i. Let s(y) = -48*y**5 + 129*y**4 - 129*y**2 + 48*y. Let t(v) = -33*b(v) + 2*s(v). Factor t(r).\nAnswer: 3*r*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(42)\/sqrt(6)) + (2 + sqrt(2) - sqrt(2)) + 2)**2.\nAnswer: 8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (6\/3 - -14). Suppose -b + x = -4*b. Let k(h) = -2*h**2 - 5*h - 2. Let w be k(-3). Is w smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkqqaqqqqqqakqqaq. What is prob of picking 2 k?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*c - 65*c + 22*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 19*n + 35 - 18 as s + q*n and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 121 - 105 = -4*y, -2*y - 4*s - 20 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2432655*t*u - 12*t - u - 49045498 wrt t?\nAnswer: 2432655*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:26 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o + 3. Let n be c(0). Let l = -103 - -113. Let z be (-1 - (-1 + 0)) + 0. Solve -n*f + 9 = z, f = 2*w + 3*f - l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**2 + 44*u**2 + 26*u**3 - 91*u**2.\nAnswer: 26*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5 (c) -14\/9 (d) -3\/4 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 20 = -s - 5*v, 3*v + 12 = 0. Let i be (1 - 0\/3) + 26. Suppose s = -3*m + 132 + i. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3660, 3666, 3658, 3630, 3576, 3490, 3366?\n\"Answer: -c**3 - c**2 + 16*c + 3646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 13 = 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 8) to base 12.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 491512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + -15 + 3 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 28. What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*s - 176 = 0, -4*z + 2*s = 5*s - 180. Let h(y) = z*y + 21*y - 42*y. Let b(l) = l**2. Determine h(b(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-2565)\/36)*-3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-488)\/(-2) + 1294839\/(-8463)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/7 + 114*f**3\/7 - 2430*f**2\/7 + 22950*f\/7 - 81000\/7.\nAnswer: -2*(f - 15)**3*(f - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3289 + -1475. Is d\/14 - (-144)\/(-252) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(230\/345)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 146814780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 400 - -24?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3 - 2 + 2 + (0 - 4 + 2)*(0*w + 2*w + 2*w))*(4 + 1 + 4)*(-4 + 1 + 4).\nAnswer: -54*w + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 16. What is the remainder when 29 is divided by d(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -805 divided by -164.\nAnswer: 805\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -d1b0?\nAnswer: -d1ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q - 1. Let f(a) = 3*a**2 + 3*a - 6. Let g be (-10)\/7 - (-6)\/14. Let t = 1 + 3. Give g*f(l) + t*y(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u + 40. Calculate the least common multiple of l(-4) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3 minus 521931842986?\nAnswer: -521931842990.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -440.15 times 0.1?\nAnswer: -44.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41254*r**2 - 9442 wrt r?\nAnswer: -82508*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 5b2?\nAnswer: -5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3, 0, -63?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -298\/12949 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 1. Let b(n) = -17*n**2 - 11. Let h(v) = -4*b(v) - 44*z(v). Let j(u) = 2*u**2. What is h(j(x))?\nAnswer: 96*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11 or 15\/4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55787243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 10705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125812 and 377436?\nAnswer: 377436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8174027467 less than -0.1965?\nAnswer: -8174027467.1965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1612*z**2 - 1558*z**2 + 551 - 553.\nAnswer: 54*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1261, 2536, 3805, 5068, 6325, 7576, 8821?\n\"Answer: -3*y**2 + 1284*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434 and 108283.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o - 4. Calculate m(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1668 - 3007. Let u = 2096 + o. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 9. Suppose 2*f - 6*p + 3*p + 22 = 0, 4*f + 34 = p. Let y be (-54)\/8 - (-2)\/f. What is the units digit of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1192*m + 118. What are the prime factors of z(-3)?\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 1. Let x(s) = s**2 - s + 1. Let i(c) = 4*q(c) + 3*x(c). Let g be i(-2). Solve n - k + 0 = -2, g = -2*n + 3*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6. Suppose 0 = -s + x + 2, -2*s + 10 = 2*t. Find the third derivative of -6*j**4 + 6*j**4 + 0*j**2 + 3*j**6 + t*j**2 wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.834375 and 3?\nAnswer: -8.503125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3106\/5551 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -489, 129, -1\/2, 0.1 in ascending order.\nAnswer: -489, -1\/2, 0.1, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -389, -686, -971, -1238, -1481?\n\"Answer: t**3 - 304*t - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5 + 582582*g**4 - 1747716*g**3 - 582582*g**2 + 1747719*g = 0.\nAnswer: -1, 0, 1, 3, 194191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27131315*z**4 - 20875*z**2 + 103 wrt z?\nAnswer: -651151560*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v**3 - 2*v**2 + 2*v - 3. Let w be g(3). Let u = 186 + w. Calculate the remainder when 42 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 158*j - 29. Let r = -482 + 487. What are the prime factors of w(r)?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51750 by -9.\nAnswer: -5750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) + -1) - (-6*sqrt(180))**2.\nAnswer: -6484 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.304 - 0.196. Let q = -0.108478 + p. Round q to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 66?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 1428.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 42*a - 35. Let r be w(-20). What is the second derivative of 17*x**2 + 9*x + 31 - 27 - x**3 + r*x**3 + 16*x wrt x?\nAnswer: 24*x + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691 a factor of 500757521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) -21 (b) -16\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306 - -311. Let j be 115\/46*(-4)\/h*-4. What is the highest common factor of 232 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-8 - -6) - (-92)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 5:18 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 126498970 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2359, -2372, -2387, -2404, -2423?\nAnswer: -2444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1225, -1538, -2057, -2782, -3713, -4850?\n\"Answer: -103*h**2 - 4*h - 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3003 (b) 5 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3156 = 2*g - 850, 0 = 4*t + 2*g + 4606. Round t to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000001100010011100 (base 2) to base 8\nAnswer: -3014234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a - 26*a + 2*a**2 - 4*a**2 + 12*a.\nAnswer: -2*a**2 - 34*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/18483674 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 112 + -129 + 168 + -298\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 91?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n**3 - 24*n**2 - n + 8947.\nAnswer: 12*n**2 - 48*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(40)*-3 - sqrt(40)))\/(sqrt(80)\/(sqrt(10) + sqrt(640)) - sqrt(8)).\nAnswer: -27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 4*y + 3)*(y - 2*y + 4*y) - 10031 + 10040 - 15*y**2 - 191*y**2.\nAnswer: -215*y**2 + 9*y + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 34*a**2 - 14*a - 13. Is i(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1034, 3, 5, 2, 11, -219 in ascending order.\nAnswer: -1034, -219, 2, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 184, 25, -346, -971, -1892, -3151, -4790?\n\"Answer: -7*s**3 - 64*s**2 + 82*s + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-43)\/5)\/((-5)\/((-900)\/34776)) and -101\/70.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(70\/15*(-144)\/(-64)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 19*l**3\/3 + 28*l**2 + 6*l - 208. Is f(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 643715 and 620?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l. Suppose 1 = -2*y - 35. Let k be (y\/(-15))\/((-2)\/(-5)). Solve l*s = s - k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -5*c + b + 47, -4*b = 4. What is the remainder when (-3)\/(-4) + 2*375\/c is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-6)\/2*-2. Suppose 5*z - 5*p - 42 = -q, -2*z + 3*p = -14. Suppose 3*t - 3*y + 7*y = 27, z*t = 5*y + 5. What is the biggest value in t, -1\/2, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469433 to the power of 1\/2, to the nearest integer?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -241*t**3 + 12161*t**2 + 8*t + 73426250 wrt t.\nAnswer: -723*t**2 + 24322*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -262*d + 40 + 140 + 113*d - 2*d**2 + 144*d in the form u*d + b*d**2 + q and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyqonyoyooou. What is prob of sequence oy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -104*j + 1550. Calculate w(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7.775 * -0.1\nAnswer: -0.7775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/60 - n**2. Let l(p) = -5*p. Determine l(f(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**2 - 2*z**2 + 3*z**5 + 7*z**2 - 5*z**2 wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148716 + -223980. Let j = h + 113771. Suppose j = -4*d + 907. What is d rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0.8, -0.2, -1.8, -1\/2 in ascending order.\nAnswer: -3, -2, -1.8, -1\/2, -0.2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 29 - 2. Suppose -3*r + 2*k + 4 = 0, -k - x = -3*r + r. Find v such that 2*v + v**4 - 4*v + 3*v**3 - 2*v**4 - v**5 + v**r = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3763204 (base 8) to base 13\nAnswer: 2a63cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011011010100110110 (base 2) in base 13?\nAnswer: 46cb23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-1)*-47*(-96)\/1128?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*b - 374*b - 40*b + 463*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + -11. Let n be (-4)\/10*b\/(-60). Is 0.13 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/20 + ((-18)\/(-5) - 3). Let m = 3 - 0. Solve -m*h = -6, g + 0*g = 4*h - d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51296 = 23*w - 37*w. Suppose -5*l + 461 + w = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -72*n**2 + 13*n + 12. Let y be c(-1). Let j = y + 78. Solve -j*s + 26 = -2*f, 5*f + 0*f + 2*s = -7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/5 + 2*h**4 - 28*h**3\/5 + 4*h**2\/5 + 26*h\/5 - 14\/5 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 - 213*r**3 + 3102*r**2 - 7408*r - 7392 = 0 for r.\nAnswer: -3\/4, 4, 22, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 3*f**2 + f - 2. Let j be 26\/4 + 39\/(-26). What is the tens digit of b(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 12 = 3*o, 2*a + 1040 - 1043 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000347 rounded to 5 dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001063469363 to 7 decimal places.\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1221, -1223, -1227, -1233, -1241, -1251?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38531 - 19263 - 19268 + 2*c**3 + 0*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**22*o)**33\/(o**(1\/6)\/(o\/((o**(-30\/11)*o)\/o)*o)) assuming o is positive.\nAnswer: o**(-43259\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -603, -881, -1211, -1599, -2051, -2573?\nAnswer: -3171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 337*b**2 - 898*b - 122638. Calculate w(-168).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*i = 5*a - 66*i - 187150, 11*a - 2*i - 411730 = 0. Is 285 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o + 2 - 3*o**2 + 2 + 5*o**2. Let f be g(5). Let w(m) = -27*m - 2. Let i be w(-5). Calculate the highest common factor of f and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g - 15. Which is the nearest to -0.1? (a) 0 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-72)\/(-45)*(-153)\/136?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-308)*2\/3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4 - 6. Let d be 25 + x - (-2 + 1). Suppose -35 = -3*z - 2*q, q - d = 3*z - 56. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -12719448.2?\nAnswer: -12719447.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.24 (c) 9 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 37*r**2 - 2*r + 10. Let v be i(3). Let d = v + -86. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -14*f**5\/3 - 226*f**4\/9 + 446*f**3\/9 - 206*f**2\/9 + 28*f\/9 = 0?\nAnswer: -7, 0, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9540*s - 9271. Determine u(-1).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -53968*q. Let b(t) = 12*t + 1. Determine b(s(o)).\nAnswer: -647616*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32615 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57455 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182.2 + -187.2. Which is the nearest to 2\/7? (a) -1\/4 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 3*y + 47. Calculate the remainder when x(-8) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 = -38. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 - (2 - 0))*(-317 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12424 is divided by 501?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -132023 (base 6) to base 15\nAnswer: -38c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 7 = s + 9*g, -18 = -4*s + 2*g. Find the second derivative of -2630*y + 23 - 2630*y + 5261*y + 92*y**s wrt y.\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 33612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7243 + -0.3243. Which is the closest to 0? (a) d (b) -0.3 (c) 1.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Differentiate 4*w**4 - 2 + 4 - 3 - o*w**4 with respect to w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 - 2556*o**2 + 2556*o**2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 639378, 0.5 in ascending order.\nAnswer: 0.5, 12, 639378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151.902059 - -151.91. Round r to four dps.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**5*c))\/(c\/c**(-2\/5)*c))\/(c**(2\/3)\/((((c**(-5)*c)\/c*c)\/c)\/c*c*c))*(((c\/(c**2\/c*c))\/c)\/(c*c*c*c**(-4)*c*c))**22 assuming c is positive.\nAnswer: c**(-1036\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477, -954, -1435, -1920, -2409?\nAnswer: -2902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-3))\/(-4)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132217?\nAnswer: 109, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 - 634*o**2\/5 - 9888*o\/5 - 23904\/5.\nAnswer: 2*(o - 332)*(o + 3)*(o + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9827.8148 rounded to the nearest one hundred?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 505909969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*w - 714 = -724, 4*w = -3*i + 23 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.49912ml in litres?\nAnswer: 0.05149912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 12. Let n be k(-9). Let f(d) = -d**2 - 3*d. Let s be f(n). Find w, given that s*w**2 - 8*w**3 - 5 + 5 - 2*w + 10*w**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i + 6*i + 26*i**3 - 2*i**2 + 2*i**4 + i + 10 - 12 in the form j*i + n*i**4 + q + m*i**3 + k*i**2 and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -67688, -67677, -67748, -67943, -68304, -68873, -69692?\n\"Answer: -7*f**3 + f**2 + 57*f - 67739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k. Let l be z(-15). Let y = l + 367. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = z - 0*z + 25, -125 = 5*z - 2*d. Suppose -123 = -3*y + w, -3*y + 158 = -5*w + 23. Let p = z + y. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 8675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4060207\/105 + 38669. Calculate the common denominator of -137\/1464 and m.\nAnswer: 51240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o**3 - o**2 - 5*o + 1. Let n(v) = v**3 + v. Let w(j) = 6*n(j) + r(j). Calculate the remainder when 62\/1*2\/4 is divided by w(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8510000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 - -258. Round n to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19367 + 801*f**3 - 19367 + 1406*f**2 wrt f?\nAnswer: 4806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1631\/(-21)*3\/(-154) - (-6 + 540\/72)?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.8406 + 0.8406. Which is the second smallest value? (a) m (b) 8\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 11*h - 23. Let l be x(-7). Calculate the lowest common multiple of 0\/l + (8 - 3) and (-54)\/(-8) - 2\/(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 0.8465.\nAnswer: 0.9465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - -0.16. Let v = u + -5.03. Which is the third biggest value? (a) 0.1 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:38 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -2, -6 in decreasing order.\nAnswer: 10, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 5.8, 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cat when three letters picked without replacement from qcxqvta.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/170 and 43\/30937.\nAnswer: 5259290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -17 - 35 + 153*k + 21. Is m(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b*b\/(b\/b**0)))*b)**(1\/11)\/((b*b*b*b**7)\/((b\/b**(2\/7))\/b*b)) assuming b is positive.\nAnswer: b**(-694\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6450)\/(-90)*1017\/(-6780).\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1240, -1\/3, -13\/6, -0.5 in ascending order.\nAnswer: -1240, -13\/6, -0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - d - 3877 = 0, 4*z - 9*z = 5*d - 1040. Let c be -17*6*2\/(-3). Let i = -25 + c. What is the greatest common divisor of z and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14147 and 903.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/((-29)\/1)*(-2)\/(-2)*14\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2833*v - 1 - 5607*v + 2804*v in the form x*v + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2136, 2225, 2374, 2583, 2852, 3181?\n\"Answer: 30*o**2 - o + 2107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:31 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*c - 1265*c - 46208 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3 - 1 + 3 + 0 + (-2 + 2 - 2)*(4 - 2 - 4) + 0 - 2 + 4 + 44 - 44 + 172)*((-4*w + 2*w + 0*w)*(-2 + 0 + 4) + w + w - w) as o*w + t and give o.\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 32, 89, 184, 329?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1)*-4*3\/990*-12.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = 0, 3*g - 4*g - 109 = -4*a. What is the least common multiple of a and (-6 + 2)\/(-2) + 6?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 13*r + 11. Let w be j(-14). Let i be ((-20)\/w)\/(10\/(-45575)). Is 4\/(-8) - i\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*s - 80*s + 11 = -z, 0 = -5*z - 5*s - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1239 + 1777. Let d(h) = -h + 5. Let k be d(6). Is (-1)\/2*l*k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -64, -109, -172, -253, -352?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0099907 to 4 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d + 9. Let u(x) = 4*x + 4. Let t = -13 + 8. Let f(h) = t*u(h) + 3*i(h). Let m be f(-5). Calculate the highest common factor of m and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112514 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.7 - -13.2. Which is the closest to -1? (a) 0.13 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -53*o + 898. Give n(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 6.6 (c) 820 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28\/1263, 0.3, 0.01?\nAnswer: 28\/1263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/2 - 215*y**4\/2 + 799*y**3\/2 + 9495*y**2\/2 = 0.\nAnswer: -5, 0, 9, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32638 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 10*v + 120. Suppose h - 6*h = -10. Suppose x - 5 - 3 = -h*a, 5*x - 5*a = 25. What is the highest common factor of v and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1751 + -1730. Solve -7*x + 28 - d = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 bigger than 3598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/45)\/((-1)\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - -3*sqrt(99) - sqrt(99))*2)\/sqrt(3))\/(6*(3*sqrt(147) + sqrt(147)))*-5.\nAnswer: -5*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -22*y**2 - 548*y. Let q(f) = -8*f**2. What is w(q(z))?\nAnswer: -1408*z**4 + 4384*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89\/5 + 1241\/70. Let u = q + 9\/28. Let s = 0.1 - 2.1. What is the closest to u in 0.4, s, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*-1*(sqrt(612)*2)**2 - (sqrt(612) + -3*(sqrt(612) + sqrt(612) + -1) - ((0 + sqrt(612))*2 - sqrt(612)))**2).\nAnswer: -864*sqrt(17) + 58788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g = -11*g - 110429 - 70644. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 28*p**2 + 4*p + 3. What is the units digit of w(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*u + 259 = -398 - 1268 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 + 2*m + 1. What is the units digit of z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 + 6\/8. Let y(m) = m**2 + m - 1. Let r be y(0). Let s = r - -3. Is a at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109560\/4517 < -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4198223 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + (-4)\/((-88)\/583). Suppose -h*o + 185295 = -67074. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -64*h - 27. Let m(i) = i - 15. Let f(t) = j(t) - 2*m(t). Let d(b) = 133*b - 5. Determine -3*d(k) - 5*f(k).\nAnswer: -69*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b*n**3 + 2*b*n**2 + 7*b*n + b - 11*n**2 + 1949 wrt n?\nAnswer: -9*b*n**2 + 4*b*n + 7*b - 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -11148*l**2. Let f(c) = -224*c**2. Determine f(t(m)).\nAnswer: -27838250496*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1392 + -1469. Is i smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-75) - 13\/6) + 555\/74.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4071 is divided by 127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z - 604 + 604 + 6*z in the form a*z + s and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(-4))**(10\/13) assuming z is positive.\nAnswer: z**(80\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 12. Let z be a(8). Suppose -3*b = -5*c - 12, 33 - 3 = 2*b + z*c. What is the common denominator of -41\/8 and (3\/4)\/(b\/75)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 45. Let z = l - 8. Let y(v) = 4*v**2 + v. Let m be y(1). Solve 0*t = -t + m*a + z, 5*t + 20 = a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49234 + -49237. Let g be (-2)\/(-8) - 51\/172. Which is the fourth smallest value? (a) -2\/7 (b) g (c) j (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*(3*-2*sqrt(539) - sqrt(539)*1*-6))**2 + 1*(sqrt(539)*-3*3 + (3*sqrt(539)*5)**2).\nAnswer: -63*sqrt(11) + 121274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -32, -1\/9?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 239261*d**2.\nAnswer: -d**2*(d - 239261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(25)\/(sqrt(180) - sqrt(5)) + -3 + sqrt(5)*2 + -5))**2*4.\nAnswer: -6336*sqrt(5)\/5 + 15876\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -7.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4735540 and -13\/1420662.\nAnswer: 14206620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r + 5. Let c(d) = -14*d + 10. Let j(w) = -13*a(w) + 6*c(w). Let i = 6 + -2. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2806 + 2807. Sort t, -1, 15, 2.\nAnswer: -1, t, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 2*m = -17*m. Let w(q) = q**3 + 3*q**2 + 4*q + 3. Let u(v) = v**3 + 2*v**2 + 3*v + 4. Let s(j) = -3*u(j) + 2*w(j). Calculate s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:41 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, m: 2, k: 6, o: 1, q: 4}. Give prob of sequence jo.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - n)*(-1 + 0 + 2)*(-907 - 372 - 964)*((-3 + 1 + 1)*(-1 - n + 1) - 1 + 1 + n).\nAnswer: 4486*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 152\/57*(-3)\/14. Which is smaller: 1.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4 = 0, -2*t + r + 2 = -7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/4)\/(1100\/225*3)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*6\/(-3))\/((-2)\/4). Let k(n) = 3*n**2 + 11*n - 44. What is the units digit of k(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 838 - 595. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5\/5 + 2226*c**4\/5 - 105723*c**3\/5.\nAnswer: -3*c**3*(c - 691)*(c - 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 2 - (-3)\/8. Let b = -0.8 - -5.8. Let f = 2 - b. What is the second smallest value in f, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4817730.\nAnswer: 2, 3, 5, 160591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 19. Suppose -j + u + 83 = -b, -4*j - 3*u = -402. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + w + 1. Let z(s) = 9*s**3 - 3 - 6*s + 6 - 10*s**3 + 9*s. Calculate -3*q(a) + z(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + r**2 + r**2. Let h(n) be the second derivative of -n**5\/60 + n**3 + 3*n. Let c(x) be the second derivative of h(x). Calculate w(c(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814*l - 3*i - 59277 = -809*l, 5*l + 59249 = 4*i. Round l to the nearest one hundred.\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(170) - (sqrt(170) - ((2*sqrt(170) - sqrt(170)) + sqrt(170))*6))*-2)\/(3*(-3*(sqrt(10) - sqrt(90)) - (sqrt(10) - 2*sqrt(90)))))**2.\nAnswer: 9792\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 100 + 110. Suppose -3*g - 3*c = -4*c - 10, -c + 5 = 0. Solve j - 4*j + 18 = -2*z, -g*j = -5*z - x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 14b18?\nAnswer: 14b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/324*9*8\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/8)*a**(-2\/7)*a)**(-45) assuming a is positive.\nAnswer: a**(-2115\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/9*a - 4\/9*a**4 - 4\/9*a**3 + 16\/9*a**2 + 0.\nAnswer: -4*a*(a - 2)*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(32\/8)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/4)\/f**(1\/35)*(f**(-2\/25)*f)\/f*f*f*f*f\/f**(-6\/5) assuming f is positive.\nAnswer: f**(3039\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.94 - 1. Let u = 3.06 + l. Let j = 2.9988 - u. Round j to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1280*g**2 + 9*g**3 - 188*g**2 - 184*g**2 + 26*g**3 - 31*g**3 - 908*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 1 t when three letters picked without replacement from {m: 4, c: 6, f: 7, t: 1}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 6*b - 71 - 129 - 5*b.\nAnswer: -2*b - 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -466 > -6511\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 210*r**3 - 8*r + 23*r**2 - 54*r**2 + 84*r**3 + 25*r**2 to the form w*r + c + b*r**3 + s*r**2 and give b.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 8:04 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34453 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9797\/4 - 2449. What is the closest to t in -1\/5, 4, -24, 5\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 + 7160*y - 14312 = 0. Calculate y.\nAnswer: 2, 3578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 3*t**2 + 1\/1344*t**8 + 0*t**5 + 0*t + 0*t**3 - 1\/840*t**7 + 0 + 0*t**6 + 0*t**4. Factor q(k).\nAnswer: k**4*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + (1 + -1 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51720 and 360?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsmqszqssmqc. Give prob of sequence ssq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 p when three letters picked without replacement from {p: 4, q: 6}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 11. Let b(h) = -h - 10. Let l(x) = -3*b(x) + 2*w(x). Let d be l(-6). Let f = 6 - d. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + y**4 - y**4 + (y**2 - 5*y**2 + 2*y**2)*(3*y + 2*y**3 - 3*y) + 2*y**2 - 2*y**2 - y**5 + 2*y**5 - 2*y**4 - 2*y**3 + 2*y**3.\nAnswer: -y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -965, -1013, -1061, -1109, -1157, -1205?\n\"Answer: -48*x - 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*g + 22 = 0, 2*g + 14 = 3*h - 0*h. Let l be 2\/(-8) - 305\/(-20). Suppose -k = 2*k - l. Put h, -4, k in decreasing order.\nAnswer: k, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8*5)\/(((-270)\/(-40))\/(-27)) is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(77) - (-1*sqrt(77) + sqrt(77)))\/sqrt(11) - (sqrt(140)\/sqrt(5))\/sqrt(4)) - (sqrt(77)\/(sqrt(132)\/sqrt(3))*-1 + 1).\nAnswer: -3 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 22*g**3\/3 - 2*g**2 + 2*g - 6655. Let m(t) = -23*t**2 + 3*t - 1. Give -3*m(z) - 2*v(z).\nAnswer: 25*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -44.05. Let c = t + -1.65. What is the third smallest value in 0.1, c, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256 - -391. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 + 5. Let u = x - -0.4. Suppose 0 = -6*h + 10*h - 4. Which is the nearest to u? (a) 0.5 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71\/66 or -2?\nAnswer: -71\/66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6203, -20759, -45011, -78953, -122579?\nAnswer: -175883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*a - 88*a = -7344. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004095 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/23 (b) 2\/7 (c) 9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*r + 2*r - 8*r)*(-3*r**2 - 6*r**2 - 5*r**2)*(-3 + 1 + 4) to t + k*r**2 + q*r + f*r**3 and give f.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {x: 3, m: 3, u: 9, i: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 891, 1684, 2355, 2874, 3211, 3336, 3219?\nAnswer: 2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 7*x - 17000. Round x to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1232 (base 4) to base 14\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2562262 millennia?\nAnswer: 256.2262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eent when four letters picked without replacement from etntetfttetetettl?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = -3*z + z, 2*z = -2*h + 6. Suppose -c + 26 + 67 = h. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {k: 3, z: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1196\/(-161) - 3\/(-7) - (4 - -4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.75418 + -0.944163. Let o = 28.19 - 28. Let b = j + o. Round b to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -203.1778?\nAnswer: 609.5334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/2 - (120\/(-21) - -3). Let r = 369 - 374. Put q, -4, -13, r in decreasing order.\nAnswer: q, -4, r, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + 91*m**2 - 86*m**2 - 706*m**4 - m**3 + m**3 - 190*m**2 wrt m.\nAnswer: -16944*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.437 and 25.14.\nAnswer: 10.98618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -19. Suppose 0 = 4*l - 12, 0*f + m*l = 5*f - 79. What is the highest common factor of f and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - w - 3. Let m(f) = -f**3 - 15*f**2 - 15*f - 17. Let v be m(-14). Let y be b(v). Let a be y\/33 - (-4)\/(-22). Is -1\/23 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.0592 + -318128159775\nAnswer: -318128159775.0592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205706073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16509021 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/75)\/2*(-8)\/(-2).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 4. What is f(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/13*28\/(-140).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 0.014, -4 in descending order.\nAnswer: 5, 2, 0.014, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -242, -2, 2\/7, -0.00915?\nAnswer: -0.00915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454*l - 436*l = 19638. What are the prime factors of l?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 8 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 30 = 8*i - 3*l, -2*i - 5*l = 19. Suppose 7 - 19 = -i*u. Solve p - u*p - 11 = 4*v, p - 8 = v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57931.22 grams?\nAnswer: 57931220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57218 and 200732.\nAnswer: 12244652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bca04 - -116?\nAnswer: bcb1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195797753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {n: 3, x: 6, v: 3, y: 5}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1256.8654 to 1 decimal place.\nAnswer: -1256.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, 1.7 in decreasing order.\nAnswer: 16, 1.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3180 + -3176. Let p(c) be the third derivative of c**6\/120 - c**5\/15 - c**4\/12 + c**3\/2 - c**2. Calculate p(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-644)\/(-24))\/(1 + -7 + 330\/45). Do k and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131558 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 3*f = -3*x - 18, 0 = -x + 2*f + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*r - m, -r = m - 4 - 5. Suppose -r*n + 4 = -9*n. What are the prime factors of (n + 1*-3)*1491\/(-84)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -24.798344699 + 43?\nAnswer: 18.201655301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/486 - (-259)\/(-20979)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a second?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2349788697?\nAnswer: 3, 167, 271, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 1:54 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 52239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) -1 (c) -5 (d) 5 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18693 is divided by 367.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/222)\/(82\/(-1599)). Let d = k + 163\/148. Which is the nearest to -23? (a) 4 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.8 (b) -5 (c) -2\/5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459467 (base 10) in base 9?\nAnswer: 770238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 + u**2 - 2. Let h be n(1). Suppose -6*f + f = -2*t + 17, -4*t = h*f + 11. Solve 2*y - 3 = t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**29\/u**(-9\/2))**34)**(-18\/5) assuming u is positive.\nAnswer: u**(-20502\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 60*p**3 - 45*p**2. Let w(m) = m**4 + 30*m**3 - 22*m**2. Let o(j) = 3*d(j) - 5*w(j). Solve o(b) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -669 at most as big as -465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 5844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 26*b - 182. Let x be a(7). Suppose 3*i + 14 - 275 = x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6197056.\nAnswer: 2, 37, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 540?\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 87835418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3 + 875 + 3977*b - 5*b**3 + 11669 + 2*b**3 - 16297*b - 223*b**2 = 0.\nAnswer: -112, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/8)\/(36\/(-96)). Let k(s) = c + 0 + 33*s - 109*s + 5. Let q(o) = 15*o - 2. Let i(p) = -2*k(p) - 11*q(p). Let y(m) = 2*m. Determine y(i(x)).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3\/5, -14\/3 in decreasing order.\nAnswer: 3\/5, -14\/3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 1. Let n = 134 + -134.73. Let u = -0.8 - n. Is u > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.976 + -11.906. Let x = 10 + p. Let k = 0.069 - x. Round k to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -9. Suppose -4*u + f + 0 = -2*i, 4*i - 9 = u. Suppose 3*p - 31 = -5*o, -o + 6 + u = 2*p. Solve 4*a - p*a = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o - 4*o + 5*o + 1 - 1 - o + (-1 + 1 + 2*o)*(0 + 0 - 1) + o - 2*o + 4*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:32 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 - 79*t**2 + 290*t - 17. What is the tens digit of q(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = h - 14*x + 15*x, -5*x = h + 26. Let l(n) = -9*n**3 + 2*n**2 + 5*n. Let w(k) = 10*k**3 - 2*k**2 - 6*k. Calculate h*l(p) - 5*w(p).\nAnswer: 4*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 3*h - 1. Suppose 0 = x - 16 - 31. Let u = x - 49. Calculate p(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -271\/905?\nAnswer: -271\/905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -5*m**3\/6 - 9*m**2\/2 + 10*m. Let z be c(-5). Let g = z - 8. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 43, 80, 1, -17, 3 in increasing order.\nAnswer: -17, -2, 1, 3, 43, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 3*m + 9, 2*c - m = 7. Suppose -c*x + 2*x = -60. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1150)\/(-920)*8\/(-6)*(-9)\/6)\/(-18)?\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 51 = -3*g + 53, 4*r = 5*g - 179. Calculate the remainder when 139 is divided by g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13462289207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3794 divided by -284?\nAnswer: 1897\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.2 - 2.4. Let l = 31.2 - 20.5. Let i = l + t. What is i rounded to 0 dps?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12*g + 319. What is m(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 83*b. Suppose -4*o - 68 + 236 = 4*h, -3*h = -5*o + 186. Let q(d) = -31*d**2 - o*d**2 + 71*d**2. Give y(q(p)).\nAnswer: 83*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.091 - 12.909. Suppose 2*v = 63 - 59. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136903.\nAnswer: 13, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 6*k + 5. Let h be j(-6). Suppose -h*l - 30 = -0*l. Let r = 46 - l. Is r a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**2 - 383*g - 5195. What is x(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -2. Let d = -2.15 - -2.3. Let q = 11 + -13. Which is the nearest to 1? (a) d (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 0*i - 4*i + (-3 - 3 + 5)*(2*i - 3*i - i) + (0 + 3 + 14)*(2 - 2 - 2)*(-4*i + 27*i + 5*i) to s*i + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v**2 - 1932322379 + 0*v - 32*v**2 + 0*v + 1932322379.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4138 or 4161?\nAnswer: 4161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/27 and 15 - 11 - (-1052)\/(-255)?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a7389 (base 11) to base 7\nAnswer: -5301652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycy when three letters picked without replacement from yccyyyyycccyyyyycyc?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -619 + 655. Calculate the greatest common factor of 63 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*m + 0*m - m)*(5 - 3 + 3) + 47*m + 34*m - 3*m + 4*m to d*m + r and give d.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, 1\/5, -2\/15 in decreasing order.\nAnswer: 150, 1\/5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = -14*g - d, -3*g + 12 = -4*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -111.31, -1 in descending order.\nAnswer: 3, -1, -111.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 5 = -22*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)\/m*m*m**(-10\/3))\/(m*m**(-14\/5)\/m*m**(7\/5)*m*m))**(-30) assuming m is positive.\nAnswer: m**(251\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(15\/(-12))*(-225)\/(-10). List the prime factors of (g\/12)\/(0 + 3)*-220.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1356470 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5132 - -2582. Suppose w = s - 1286. Let a be (122\/(-6))\/(1\/s). What is a rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-18)\/(m*m**(-28)) assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2614822539.\nAnswer: 3, 7, 4217, 29527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/57, 0.4, 1\/3 in ascending order.\nAnswer: -4\/57, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 - 2*s**2 - 2. Let g = 36 - 60. Let o = -22 - g. Let a(w) = -w**3 + 1. Determine o*a(l) + f(l).\nAnswer: l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 12. What is the closest to l in -1, -0.5, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/16)\/(15\/(-30)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 100*i**4 - 320*i**3 - 4804*i**2 - 3664*i - 720 = 0?\nAnswer: -5, -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = -4. Suppose -f*u - 65 = j, 5*u + 4*j = -0*u - 161. Calculate the common denominator of -65\/8 and -2 + (-42)\/u + 0.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 88\/7 (b) 2\/73 (c) 1\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 84 + 90 - 212 - 20*p. Calculate the smallest common multiple of 70 and a(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 36*b + 215. Let i be 12*455\/(-189) + 6\/(-54). Determine o(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < 0.198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2942423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16532, -132223, -446228, -1057703, -2065804?\nAnswer: -3569687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7761882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 151559 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5))**(-34)\/((v**(-3\/2)*v)\/v*v**8) assuming v is positive.\nAnswer: v**(-201\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82*(-4)\/24 - 12)\/(-1 - -5)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*w**4 + 36*w - 33*w**2 - 27\/2 + 12*w**3.\nAnswer: -3*(w - 3)**2*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -423, -2, -29, 30 in descending order.\nAnswer: 30, -2, -29, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 - -117.9999682. What is t rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*u - 10 + 4 = 0, -4*s - 3*u - 7 = 0. Suppose s*c - 3*g + 251 = 1098, g + 1267 = 3*c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -34067*c - 102206. Determine i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541 equal to 6540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 19 + 66. What is the remainder when 48 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-112)*(-489558)\/15. Let i = l + 4081. Calculate the common denominator of i and 49\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 - 1. Suppose -2*i - 8 = -2*l, -i - 2*l + 6*l = 19. Let d be x(i). Suppose -t + d*t - 2*f = 18, 8 = 4*t + 3*f. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625 and 1115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9460)\/(-946)*3\/(-6)*-2*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*u = 71*u - 3*h - 11, 5*u + 4*h = -10. Calculate the remainder when 33 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - g + 3*g - 1)*(7*g**2 - 2*g**2 + 11*g**2).\nAnswer: -16*g**3 - 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1308000 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -329 + 329. Suppose -3*t - 5*q + 11 = 0, 5*q = -h*q + 5. Solve -10*u + t*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + u + 1. Let z(o) = -6*o**2 + 3*o + 3. Give 3*t(y) - z(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x + 20 = 0. What is the remainder when 1 is divided by x\/(-12)*2\/((-6)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6690290?\nAnswer: 2, 5, 669029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0)*(-5)\/(-5). Suppose -i = -t - 3. Suppose -43 = -i*x - 10. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + f - 4. Let z be (48\/10)\/(-2 - (-83)\/40). Let m = z - 60. Calculate s(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 - 2) - 4 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z**5\/9 - 824*z**4\/3 + 159535*z**3\/9 + 45455*z**2 + 37809*z + 10353 = 0.\nAnswer: -203, -1, -3\/4, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c**2 - c**2 - 2*c**2)*(-43*c + 144*c + 191*c) to o*c**2 + z + v*c + y*c**3 and give y.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 29, 6 in ascending order.\nAnswer: -13, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5*p\/p**(-2))\/(p\/(((p*(p**2\/p)\/p*p)\/p)\/p))**(1\/26))**27 assuming p is positive.\nAnswer: p**(5589\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 14943467?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -5878\nAnswer: -64658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-420)*80\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100082095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53.914 + -0.086. Let u = 54.00122 + w. What is u rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 1\/8 (c) -207\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times 320\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:54 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -278 (b) -1\/3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.57 and 8251.\nAnswer: 8252.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 10\/3*u**5 + 34\/3*u**4 + 4\/3*u + 14*u**3 + 22\/3*u**2.\nAnswer: 2*u*(u + 1)**3*(5*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**3*m**2 + 7*g**3*m*s + 4*g**3 - 5*g**2*m**2 - 3*m**2*s - 12*s wrt g?\nAnswer: -42*m**2 + 42*m*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 160. Let u(p) be the first derivative of p**2\/2 + 118. Determine x(u(c)).\nAnswer: c - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13*k**2 + 243. Let u(d) = 2*d**2 + 8. Determine i(u(s)).\nAnswer: 52*s**4 + 416*s**2 + 1075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 - -4. Suppose 2*m + 11 = 2*g - 1, 0 = 5*m - g + 18. Let l be -3 - m - (-1)\/6. Which is the closest to w? (a) l (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 20*c + 94. Let v be p(-11). Let h(f) = 3*f**2 + 4*f + 28. Is 9 a factor of h(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 37120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166972.01 + 8.5.\nAnswer: -166963.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 0 - 7)*((-4*g**2 + g**2 + 2*g**2)*(2 + 1 - 4) + 3 + g**2 - 3 + 2*g**2 + 2*g**2 - 5*g**2 + (-g + g + 2*g)*(4 - 4 + g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5044, 4221, 3400, 2581, 1764, 949, 136?\n\"Answer: y**2 - 826*y + 5869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -127314 divided by -6\nAnswer: 21219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -777, -1558, -2339, -3120, -3901?\n\"Answer: -781*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5 + 390090*b**4 - 7609290500*b**3 + 30428970630*b**2 + 38038651225*b = 0. Calculate b.\nAnswer: -1, 0, 5, 39007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1405 - 1385.46. Let q = g + 0.46. Let y = q - 20.00108. What is y rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, 129, -5, 2, 0 in ascending order.\nAnswer: -5, -1, 0, 2, 19, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 23 + 74 = 17. Let n(t) = t**3 - 9*t**2 - 12*t - 1. Let h be n(10). Let r = 34 + h. Solve f*k - 12 - r = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-3)*780\/(-650). What is the highest common factor of d and 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) 22 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 95 = 255. Suppose -5*o + t - 2 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2720594.\nAnswer: 2, 127, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 17\/10, -5, -1 in descending order.\nAnswer: 17\/10, -3\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 16. Let p = -0.27 + -0.03. Let v = 0.2 - p. Which is the smallest value? (a) v (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oorckrcrrrroo. What is prob of sequence ro?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 63, 73, 109, 183?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 19*i**2 + 9*i + 24. What is the hundreds digit of w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 + 2)*(-8*q + 5*q + 13*q) - q - 2 + 2)*(5 - 3 + 3)*(-3*q + 0*q + 6*q) to w*q + x*q**2 + r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238511661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 42021138 + 4993118. Let n = 4089039 - 8094643. Let g = d + n. Round g to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180516 - 180516. Determine u so that v - 28*u + 8*u**2 - 4\/7*u**3 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 + -140. What is the first derivative of -8*n**g - 2*n**2 - 43 + 9*n**2 - 32*n**2 wrt n?\nAnswer: -66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3332 divided by -84\nAnswer: 119\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 37 = 4*h - 619, -5*c - 2*h + 2910 = 0. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**3\/15 - c**2\/10 + 2*c\/5 + 19. Solve s(a) = 0 for a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/16653 and 113\/144326.\nAnswer: 432978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 39*d = 0, -d = -5*r + 75. Solve t + 3*q - r = -0, 4*q - 20 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145c54 (base 16) in base 7?\nAnswer: 14225152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189 + -163. Is 9033\/6 + 39\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -18*b + 76. What is the lowest common multiple of 1474 and a(3)?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -456567132*l**2 - 130780907*l wrt l?\nAnswer: -913134264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 + -343123?\nAnswer: -343155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82\/435 - -1\/87. Put -0.4, -1, h in descending order.\nAnswer: h, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.2, -1\/3, 3\/14, 82 in descending order.\nAnswer: 82, 3\/14, 0.2, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2, 0.02, -1 in descending order.\nAnswer: 2, 2\/11, 0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 4*t, 2*g + 5*t + 36 = 51 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 4514229.3.\nAnswer: 4514230.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*115149.\nAnswer: 57574.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 116\/171?\nAnswer: 116\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**6\/240 - r**5\/40 - r**4\/6 - 2*r. Let q(h) be the third derivative of x(h). What is the first derivative of q(b) wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 16*z**4 - 3)*(1 + 2 - 2) - 26*z**4 + 55*z**4 - 1 - 23*z**4.\nAnswer: 22*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 - -0.8. Let u = 0 - -1.2. Let r = u - 1. Put x, -2, r in descending order.\nAnswer: r, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*r - 3*u, 4*u = 7*r - 3*r + 4. Suppose 2*x = r*x - 50. Solve 0*i + x = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2 = 2*v + 4, v + 8 = 5*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446, -5, -1, 67 in decreasing order.\nAnswer: 446, 67, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 14) in base 13?\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d - 4. Let l be f(-3). Suppose 0 = l*h - 10. Suppose h*k = 4*k + 39. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 8*p - 1. Let y(i) = i**2. Let h(v) = g(v) - 5*y(v). Let l be h(4). Let d = 47 - l. Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85198345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5663810, 11327599, 16991390, 22655183, 28318978?\nAnswer: 33982775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65940550 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -747, -3166, -7185, -12816, -20071?\nAnswer: -28962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-518)\/370 + (-7)\/(-5). Solve k = -3*r - 10 + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006852 rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42418 is divided by 251?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.2. Suppose -5 = 43*u - 39*u + 5*z, 0 = 3*u + 3*z + 3. Which is the nearest to u? (a) g (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 115*w**2 - 5*w + 25. Let d(a) = -19*a**2 + a - 4. Let l(n) = -25*d(n) - 4*m(n). Find x, given that l(x) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**8\/1008 - 47*l**7\/630 - 91*l**6\/360 - l**5\/4 + 48*l**2 + 23*l. Factor u(d).\nAnswer: -d**2*(d + 1)**2*(d + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12005555 (base 8) to base 4.\nAnswer: -22000231231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**3*k + i**3 + 210080*i*k - 203964*i wrt k.\nAnswer: 2*i**3 + 210080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 27, 13, -33, -123, -269, -483, -777?\n\"Answer: -2*o**3 + 2*o**2 + 14*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -20176420?\nAnswer: 20176416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 + 2*j**3 + 388*j**2 - 74011*j?\nAnswer: 12*j**2 + 12*j + 776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 + 4*s + 1. Let f(x) = -4 - 102*x + 13*x**2 + 6*x**2 - 97*x + 184*x. What is -22*d(v) - 6*f(v)?\nAnswer: -4*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -87. Let b = g - 92. Put b, -0.14, -0.1, -4\/3 in increasing order.\nAnswer: -4\/3, -0.14, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447, -440, -421, -384, -323?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1308189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -274*t + 3. Let f(c) = 109*c**2 - c + 154*c**2 - 257*c**2 + c. Calculate f(l(w)).\nAnswer: 450456*w**2 - 9864*w + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:59 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w + 0*w**2 + 11*w**4 + 8\/3*w**3 - 46. What is the third derivative of u(i) wrt i?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.26 and -3709804.44.\nAnswer: -3709804.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016387693 rounded to six dps?\nAnswer: -0.016388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 0 - 2*r**2 + 2\/3*r**3 - 2*r - 1\/12*r**4. Factor k(f).\nAnswer: -(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/480)\/(5\/6).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 10055951\/5 and 2011191 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/3 - 9*a. Suppose -5 = -5*g - y, -4*g = -8*g - y + 3. Let z(i) = -i**2 - 5*i**2 + 2*i**g. What is q(z(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*y**6 + 3*y**5 + 463*y**3 + 120*y**2 - 22*y + 1 wrt y.\nAnswer: 480*y**3 + 180*y**2 + 2778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710 is divided by 191.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -45*y + 2. Let l(h) = 46*h - 3. Let b(f) = -2*l(f) - 3*t(f). Let i(a) = -15*a. Let x(q) = -4*q. Let w(m) = 6*i(m) - 22*x(m). Give w(b(u)).\nAnswer: -86*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -277*j**6\/15 + j**3 + 17*j**2\/2 + 1707*j. What is the second derivative of q(h) wrt h?\nAnswer: -6648*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + -1 + sqrt(2) + -2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5278 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-11 + 4) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z)\/(z\/(z*z*z**28*z*z)) assuming z is positive.\nAnswer: z**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(5\/2)))\/(d\/(d**(-28)*d)))\/(((d\/d**(5\/7))\/d)\/(d**(3\/5)\/d)) assuming d is positive.\nAnswer: d**(-2113\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - -2. Let i = -0.9 - n. What is the closest to i in -3\/5, -2\/15, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10361352 and 24?\nAnswer: 10361352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 3330579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2035 = f - 2725, -4*w + 1464 = 2*f. Solve 2*i - 122*i = f for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*d - 27 + 97*d + 27 - 135*d + 47*d - 48*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16570, -33037, -49504, -65971, -82438?\n\"Answer: -16467*g - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 38d6?\nAnswer: -38db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 39*w**2 - 221*w. Let b be o(-5). Suppose 29 = 2*k - 5*h, 0 = k + 3*k - 4*h - 52. Solve u - k = b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**7\/7 + 5*d**4\/4 - 280*d**3\/3 + 110. Find the third derivative of h(c) wrt c.\nAnswer: 120*c**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5754 is divided by 3495?\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 6*j + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 - -1)) + (5 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 98\/(-35) - (-1 - 1). Let k = -3.94 + -0.06. Let r be 0\/2 - (-9)\/(-15). Which is the second biggest value? (a) x (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11968 and 144.\nAnswer: 107712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {e: 1, r: 5, a: 4, c: 5, b: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 621*d**2 + 28653*d - 244035.\nAnswer: 3*(d - 145)*(d - 51)*(d - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1589 + -1588.8. Which is the nearest to 0.01? (a) 1\/6 (b) v (c) -8 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*i**2 - 121940*i*n**2 + 24999*n**2 + 7*n + 4 wrt i?\nAnswer: 88*i - 121940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4704139*t**2*w**2 - 8*t*w**2 + t*w + 10769*w**2 - 2 wrt t?\nAnswer: 9408278*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/324385553?\nAnswer: -1\/324385553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -67. Let z be 6*(10\/6 - q). Factor 0*a**2 + 0*a + 0 + 5\/4*a**5 - 1\/2*a**3 + 3\/4*a**z.\nAnswer: a**3*(a + 1)*(5*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/14*2\/(20\/5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.8 + 48.4. Let p = -1.8 - c. Let z = -64 - p. What is the nearest to 0 in -5, z, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 9:13 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 3*v**2 - v - 7. Let p be f(5). Let l = 39 - p. Let c be ((-144)\/(-27))\/(l\/15). What is the greatest common factor of c and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479937 to the power of 1\/2, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352, -902, -3002, -5948, -9740?\nAnswer: -14378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(847)*2 + 3 + (sqrt(343) - sqrt(7)) + (sqrt(847) + 1 + -4)*4)**2.\nAnswer: -2592*sqrt(7) + 72738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2237\/720 + 63\/(-21) + 2\/(-32)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 392, 425, 458, 491, 524?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 59, 76, 93, 110, 127?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -0.01599.\nAnswer: 0.27183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.025 + -0.02403. Round t to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-4))\/((-26)\/(-106808)). Calculate the greatest common divisor of 299 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38790 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -283270 = -283271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*z = 12, -5*c - 19 = 4*z + 5. Let t(n) = -n**3 - 3*n**2 + 3*n + 3. Let j(g) = 3*g**3 + 9*g**2 - 8*g - 8. Determine c*t(k) - 3*j(k).\nAnswer: -k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -519 from -325681.281.\nAnswer: -325162.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(891))*-2 - 1*sqrt(891)*-2) + 5*((sqrt(891) - 2*sqrt(891) - sqrt(891)) + -3)*1)**2 + -4.\nAnswer: 3420*sqrt(11) + 89457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-16 + 539\/35)*(0 - (-105)\/4502) and -137\/24?\nAnswer: 54024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46690 to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3 (c) 88 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)*(2 - 103). Let r = f + 1110\/11. What is the common denominator of -139\/18 and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -346*u + 346*u + 11*u**3 - 85*u**2 - 5 + 3 - 7*u**3 to the form c*u**3 + q + o*u**2 + j*u and give o.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*a + 10 - 8, -10 = 5*a. Let g(l) be the first derivative of -l**2\/2 - 4*l - 10. Calculate g(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((780\/(-32))\/(-5))\/((-366)\/244).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 3*s - 2. Let u be m(2). Suppose -2*y - 332 = -2*f, 0 = 3*f - u*f - y - 494. Let k = f - 94. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98865976?\nAnswer: 2, 11, 1123477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 7*s**3 - 61*s**2 + 53*s**2 - 4*s**3 - 82 + 129 - s.\nAnswer: 3*s**3 - 8*s**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(1083\/(-76))*(-27)\/(-126)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g + k - 16 = 0, -5*g = -4*k - 38. Suppose -o - 10 = -g*o. Solve 0*i + o*i - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*h**2 - 36*h**2 - 58*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2496, 2509, 2528, 2553?\nAnswer: 2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307970?\nAnswer: 2, 5, 7, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(8\/3)\/(q\/(q**(-31)\/q)) assuming q is positive.\nAnswer: q**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 5. Let j be i(-9). Suppose 2*y - 43 = -4*c - 11, -j*c = -4*y + 52. Let q = 81 - 56. What is the remainder when q is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3 - 1\/9*h**2 - 10\/9*h.\nAnswer: -(h + 4)*(h + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/2, -0.02, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/4 - 5*s**2\/2 - s. Differentiate p(d) with respect to d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 1, u: 1, c: 1, p: 1}. What is prob of sequence up?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18309 divided by -3.\nAnswer: -6103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*x**5 + 551*x**4 - 22665*x**2?\nAnswer: -300*x**2 + 13224*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90, -646, -1578, -2892, -4594?\n\"Answer: -k**3 - 182*k**2 - 3*k + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 1\/20*f**5 + 7\/12*f**4 + 0 - 5*f + 0*f**3 + 5*f**2. Is c(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, i: 2, b: 7, h: 1, w: 1}. Give prob of picking 1 b, 1 i, and 1 a.\nAnswer: 49\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.2, 29, -0.38, -0.167?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*f - 13 - 12, 5*f = 4*v - 15. Solve -5*o + h + v = 0, -6 = 2*o + 2*h + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c + 492*c = -171*c - 6552 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/9 + 246*k + 739 = 0.\nAnswer: -3, 2217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcppppcpppp. Give prob of picking 2 c.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 3*i - i + 2*i + 0*i - i + (3 + 0 - 1)*(-i - 2*i + i) + 5154 - 5154 - 210*i + i - 5*i + 2*i + (4*i - i - i)*(-2 + 0 + 0).\nAnswer: -217*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -648 - -1.420093006613\nAnswer: -646.579906993387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21500 and 5074000?\nAnswer: 5074000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*x + 13 = 0, 4*z = -7*x + 2*x + 11. Let y = 1 - -3. Suppose 3*v + 3*p = y*v, 4*v = -p - 13. Put z, 4, v in ascending order.\nAnswer: v, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {k: 1, a: 1, y: 2, n: 1, o: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3762997*d**2 - 2065564 with respect to d.\nAnswer: 7525994*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1974 divide 2223270798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 14 - 10 - 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiddy. What is prob of sequence ddi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*k - 19 = 0, -2*a - k = 2 - 6. Is 5 a factor of 30\/1*1\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2 + 4*y - 23. Let g be i(4). Let j(r) = -r**2 - 4*r - 1. Determine j(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96895023?\nAnswer: 3, 61, 601, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*q = -948, -4*q = b - 1032 + 138. What is the greatest common factor of b and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*b**2*i**2*x - b**2*i*x - 32*b**2 - 2*i**2*x + 33*i + 15*x wrt b?\nAnswer: -36*b*i**2*x - 2*b*i*x - 64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -538*c + 444 wrt c.\nAnswer: -538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7440959737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -7*u**3\/6 - u - 347. Let b(a) = -91*a**2. Give r(b(k)).\nAnswer: 637*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 1. Let o(p) = 2*p**3 - 21*p**2 - 11*p - 1. Let v be o(11). Let l(t) = -4*t**2 + t + 7. Calculate v*l(k) - 5*y(k).\nAnswer: -k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.53 - 75.33. Let v = b - -61. Let c = -6.7928 - v. Round c to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/51 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than -12\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 455276610 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 11 = 2*j, 477*j = 479*j + 3*k - 31 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4577329, -4577310, -4577287, -4577260?\n\"Answer: 2*q**2 + 13*q - 4577344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/6 - 1316086*s\/3 + 107920733\/6 = 0 for s.\nAnswer: -2632213, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 6*v**2 + 6*v + 2. Let d be q(-5). Let x = -3 - d. Solve x*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 2*o - 122934. Is (-10)\/15*(o\/4 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 11. Let k be h(-8). Let z = k - 2. Let a be (2 + 0 + 8)*z. Solve 6*w - w + a = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide ((3 - 1) + 16)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559*v + 289*v - 29*v + 302*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -l - 11. Let q be l*(0\/(-1))\/2. Suppose -o = -q*o - 130. Calculate the remainder when o is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -664\nAnswer: -1\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(3\/7))**9*((p*p*p**(-1))\/p)**(8\/9) assuming p is positive.\nAnswer: p**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1386470, -1386407, -1386302, -1386155, -1385966?\nAnswer: -1385735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -198 * 0.3.\nAnswer: -59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*f - 2*u, 7*f - u + 2 = 6*f. Which is the nearest to 1\/3? (a) 1\/52 (b) 1\/3 (c) f (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 5. Let m(d) = -d**3 + d**2 + d - 3. Let b be m(2). What is z(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 1421 = -189. What is the greatest common divisor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414764 and 280?\nAnswer: 4147640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 + 62 - 459*t + 458*t.\nAnswer: -t + 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (144\/216)\/(48\/60)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -457*h + 6111. Let r be w(23). Is -4399 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244806873617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 37*k - 34*k + 1 = 0, -2 = -r + 3*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*k - 412, -4*k + 410 = -22*x + 27*x. Find the first derivative of -105*l + 214*l**3 + k*l - 138*l**3 + 153 wrt l.\nAnswer: 228*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 5, 19*r + 2*j = 16*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 354 - 122. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 8:57 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Let w(n) = n**2 - 2*n - 1. Let r be w(z). What is the units digit of r*1 + 6\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, y: 1, u: 2, b: 1, h: 9}. Give prob of picking 1 u and 1 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + p = -10, 6*p - 2 = -j - 0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 302131210?\nAnswer: 302131210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l**3 - 10*l**2 - 1378*l - 1369. What is s(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 8:51 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z = 12*z + 80. Solve -s + 5 - z = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 340044 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -10 + 8 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/4)*g**(-4\/7)*g**(-5)\/(g\/(g*g**(-1\/4))) assuming g is positive.\nAnswer: g**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -41541 (base 7) in base 9?\nAnswer: -15016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 523870 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: Collect the terms in -8*a - 11*a - 23*a + 24*a + 9*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**2 + 2013*o - 102735.\nAnswer: 3*(o - 45)*(2*o + 761)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2265\/604)\/(15\/(-160))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.7 + 6.7. Let a = -1271088 - -1271104.00027. Let f = q + a. What is f rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + (5 - (3 + 16) - -43)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (468\/(-45))\/((-4)\/10). Suppose 0*g - g + y = 0. What is g rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - n**2 - 1 + 0 - n**3 + (-2*n**2 + 3*n**2 - 3*n**2)*(-3 - n + 3).\nAnswer: n**3 - n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*r + 10*r**4 + 6*r**4 - 2*r**4 wrt r?\nAnswer: 168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*d + 4*w, 0 = 4*d - 0*d - w + 37. Which is the closest to 1\/2? (a) d (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, 0.18, 0, 0.1?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106722 and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at least as big as -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2293.\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 385800 = -o. What is o rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 4\/2241, 28 in increasing order.\nAnswer: -5, 4\/2241, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 28*d**2 - 7*d. Does 23 divide u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + 9.4. Let f = 1064.02 - 1074. Let c = f + u. Round c to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -130. Let r = d - -46. Suppose 5*p = -5*b, 3*p = -2*b + 1 - 2. What is the closest to p in r, 2\/17, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*v = 6*j - 30, -2*j - 4*v = 0. Let r(d) = d + 1. Let m be r(j). Solve -4*w = -m - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94+0.69\nAnswer: -93.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535 + 545 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 v when four letters picked without replacement from ovvvzozvvvv.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2. Let x be 1*6 + 42 + -26. Let d(r) = -2*r - x*r - 11*r. Calculate d(g(h)).\nAnswer: 210*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 138\/2*8\/(-6). Let s = b - -124. Calculate the greatest common factor of 32 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20a5a (base 11) in base 9?\nAnswer: -45822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - y**2 - 3*y - 1. Let k be d(2). Solve -2*c - 17 = k*n, -38 = 2*n - 5*c - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -98*d**4 + 27398*d**3\/5 + 90976*d**2\/5 - 104408*d\/5 + 5664\/5 = 0.\nAnswer: -4, 2\/35, 6\/7, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-3))\/o*o**(-3\/10))**(1\/49)\/(o\/o**1*o**1*(o**6\/o)\/o**(-6)) assuming o is positive.\nAnswer: o**(-5853\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**2 + 25*k - 6. Let m(c) = -13*c**2 + 51*c - 11. Let q(w) = -11*l(w) + 6*m(w). What is the second derivative of q(z) wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*q + 76 - 11 + 9*q)*(-3 + 1 + 1 + q) to i*q**2 + a*q + y and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*u - 8. Let w be ((-3)\/(-11))\/(15\/u). Which is smaller: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1214\/35206 - 969\/348.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/20)\/6*-5. Let v(s) = s**3 + 2*s - 10. Calculate the remainder when v(o) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-246)\/9 + 2)*1*-27. Let j = p - 474. List the prime factors of j.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*d - 25 = -0*o, 3*d + 15 = 4*o. Let f be -4 + (-174)\/(-36) + 3*205\/(-90). Let s = 0 - 1. Sort f, o, s in increasing order.\nAnswer: f, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/12999 and 43\/70566.\nAnswer: 493962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 1.11, -1041, -0.04 in decreasing order.\nAnswer: 3\/2, 1.11, -0.04, -1041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (59 - 61) + -1 + 326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2771*f**2 + 2801*f**2)*(690*f**2 + 1243*f**2 - 625*f**2) in the form b*f**4 + a*f**2 + u*f**3 + n*f + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 9. Let q(s) = -7*s - 19. Let f(m) = 5*l(m) - 2*q(m). Give f(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 22 = 2*z, -24 = 4*z + 2*i + 20. Let k(c) = -c**3 - 10*c**2 + 5*c - 14. What is the remainder when k(z) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 17\/2767?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2910.4? (a) 1\/3 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3549668102682 and 0.127?\nAnswer: 3549668102681.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365756 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -692, -1056, -1434, -1826?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + 4 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p*p\/(p**(-1\/19)\/p))))\/(p\/((p\/p**(2\/7))\/p)))**(-4\/7) assuming p is positive.\nAnswer: p**(-408\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/766 or 39923?\nAnswer: 39923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(40)\/(sqrt(16)\/sqrt(4))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12772 + 12679 - (1 + -193).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-4 - -12) - -10. Let f(s) = 9*s**2 + 6*s**2 - 21*s + 4 + 4*s + s**3. Let b be f(-16). What is the highest common factor of b and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*a - 57*a + 360 = 0. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.697728 microseconds in hours?\nAnswer: 0.00000000186048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2380 and 36448.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -307374040 to the nearest one million.\nAnswer: -307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -282, -510, -830, -1242, -1746, -2342?\nAnswer: -3030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 1274.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 3*t + (-1 - 2 + 1)*(-t + t - 2*t) to the form i*t + c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 5 + 2)*(1 + 0 + 1)*(-6 + 6 + 4*l)*(1 - 1 + 12) in the form o*l + h and give o.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d + 1. Let x(l) = -19*l - 3. Calculate 2*x(q) + 5*z(q).\nAnswer: 7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11388 and 263238?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 57*q - 29 - 20. Which is the smallest value? (a) -0.4 (b) q (c) 0 (d) 31 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 19*h + 16. Let i be p(10). Let z = -201 + i. What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:29 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, 1\/78, 765?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53.3171 and -2964.459.\nAnswer: -2911.1419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 371 + -337. Calculate the remainder when (((-2)\/(-1))\/(-6))\/((-12)\/2412) is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**30*l)\/l)\/l)\/l*l**18*l*l*((l*l**(-4\/35)*l)\/l*l*l)\/((l\/(l*l**(2\/3))*l)\/l) assuming l is positive.\nAnswer: l**(5413\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/30))**(-8) assuming h is positive.\nAnswer: h**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368932.\nAnswer: 2, 3, 113, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 9, 153, -4 in increasing order.\nAnswer: -4, -1, 3, 9, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30822 + 9178 = 379*x + 10571 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 805879 + -0.2?\nAnswer: 805878.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.04\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 1591?\nAnswer: -1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 18*h**2 + 8*h. Let r(b) = b. Let m = 10341 + -10349. Determine m*r(d) + a(d).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 + 15*w + 24. List the prime factors of j(-10).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m + 31. Let k be h(-3). Let i be 35\/(-105)*(k - -2). Solve 3*f + f - 12 = i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1483*v**5 - 1903 + 1903 + v - v - v**5 + (0*v**5 - 3*v**5 + 2*v**5)*(0 + 1 + 0).\nAnswer: -1485*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -22, -6\/17, 2\/3?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 9 + 5 = b, 2*p = -3*b - 9. Suppose -38*n + 7 = 22 + 61. Sort n, p, -17.\nAnswer: -17, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82248 + 7*y - 96736 + 178984.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 152401350 divided by -5080045\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104806*b - 198 = -3*m - 104805*b, -4*m + 224 = 12*b for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1968, 1875, 1784, 1695, 1608, 1523, 1440?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (82\/3 + -5)*(-18)\/(-2)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56115, 112219, 168345, 224493, 280663, 336855?\nAnswer: 393069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52967658 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-18)*3)\/(-2*1\/156). Solve 8*m - q = 21*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -7.5. Let u = z - -2. What is the nearest to 1\/4 in u, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4484882 times 0.07?\nAnswer: 313941.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*t + 7, -8*z = -3*t - 5*z + 3. Let g(c) = -c + 1. Let y(i) = -4 + 5 - 8*i + 0. Let m(w) = t*g(w) - y(w). Calculate m(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven halves of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -367, -655, -1027, -1477, -1999?\nAnswer: -2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 55007800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 + 6*j + 1. What are the prime factors of x(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -10*q - 24. Suppose 2*r - q*i = 20, -5*r - 55*i - 5 = -54*i. Determine g so that -1\/8*g - 1\/4*g**2 - 1\/8*g**3 + r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -347, -1025, -2275, -4271, -7187, -11197?\nAnswer: -16475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294525 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -44140 to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3 + 1209*b**2 + b + 1833 wrt b.\nAnswer: 12*b + 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -1. Let v = 2.82 + -3.22. Which is the closest to 0.1? (a) o (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1568075, -6272209, -14112435, -25088753, -39201163, -56449665, -76834259?\n\"Answer: -1568046*n**2 + 4*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 11*n - 408. Suppose 61*l - 58*l = n. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 394075, 393633, 393191?\n\"Answer: -442*f + 394517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 953 and 15826471?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3717*h**2 - 3*h + 30. Give f(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537 a factor of 132304456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220019.\nAnswer: 220019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(4\/(-936)). Suppose 0 = 14*n - 10*n - h. Suppose n - 228 = -9*s. Calculate the highest common divisor of s and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from xwsys?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4581.912 + -4621. Let y = j - -39. Round y to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 951 divide 65591421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-3))\/(2\/3). Suppose -y*m + 14 = -3*m. Is 7 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693383 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-6)*(-762)\/32 + -3. Let g = w + 112. Find the common denominator of -31\/64 and g.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 47, 108, 185, 272, 363?\n\"Answer: -j**3 + 17*j**2 - 5*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152659\/36 - -4241. Calculate the common denominator of b and 181\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/3)\/((-3)\/24))\/(32990\/(-59382)).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcgi when four letters picked without replacement from icwigge.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x*x*x**(13\/2))\/(x**(-8\/5)*x*x**(-1\/3)) assuming x is positive.\nAnswer: x**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299974 is divided by 16497.\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -494\/3*y**2 + 8\/3 + 162*y**4 - 104*y**3 + 104*y = 0. What is y?\nAnswer: -1, -2\/81, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 168*w + 865. Let n be j(5). Let p(h) = -h**2 + 2*h - 4. Determine p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -684.058 * -20\nAnswer: 13681.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7845470 is divided by 603497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 1, r: 1, z: 2, l: 2}. Give prob of picking 1 q, 1 j, and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 + 57)*(20 - 20 + 6*d)*(2 - 3 - 1) to k*d + h and give k.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n**5 + 3\/2*n**2 - 6 + 0*n**3 + 0*n + 0*n**4 + n**6. Find the second derivative of k(d) wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1940\/65 - 2\/(-13). Let a be z\/(-4)*56\/10. What are the prime factors of 2\/7 + (-1794)\/a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 309791495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**10\/982800 - w**9\/43680 - w**8\/16380 - 2*w**5\/3 - 6*w**2 + w. Let h(j) be the third derivative of u(j). Factor h(p).\nAnswer: -2*p**2*(p + 1)*(p + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcowffu. What is prob of sequence cw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*f + 10*f = -2794 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -57. Let k = -0.35 - -0.05. Which is the third biggest value? (a) n (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.8? (a) 4 (b) 2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o**4 - 32*o**3 + 16*o**2.\nAnswer: -4*o**2*(o + 2)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-6))\/((-3)\/42). Let r(l) = l**3 + 8*l**2 + 7*l - 2. Let j be r(t). Let w be j + (-4 - -3) + 2. What is the nearest to w in 0.04, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 55 + 11 = 0. Suppose 0 = x - 0*x + 11. Let t = x + n. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1128*a**2 - 11611 + 11611)*(-2*a**2 - 4*a**2 + 5*a**2).\nAnswer: -1128*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 5*w - 21. Let z = 16 - -42. What is the remainder when z is divided by p(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9183 = 1681*y - 23220 - 49841 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212080, -424172, -636262, -848350, -1060436?\nAnswer: -1272520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 52*q + 85. Give s(25).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21163433 (base 7) to base 10\nAnswer: -1797197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*g - 85. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*m**4 + 97*m wrt m.\nAnswer: 2100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -12*v + 8. Let a = 1879 + -1871. Solve -2*k + v = -a*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/12 - u**3 + 3*u**2 - 2*u. Let j be f(-6). Let p = j + -4. Solve 4*h - b = 6 - p, 0 = -4*h + 2*b + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b - 7*b + b - 13696 - 4726.\nAnswer: -6*b - 18422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 7. Let h be c(5). Let j = 8 - h. Let m(d) = -11*d + 71. Let q be m(6). Is j <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1371 - 16481\/12. Let a = 8\/3 + w. Suppose 0 = g - 4*b + 12, 5*g - 11*b - 4 = -7*b. What is the fourth smallest value in -6, g, 3\/4, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12265 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73804.03 litres?\nAnswer: 73804030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (sqrt(2299) + sqrt(2299)*-5))*-1 - ((sqrt(1539)*-2)**2 + 2).\nAnswer: -6158 - 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*t + 27 = 0, -5*t + 2 = 2*o - 35. Suppose -6*j + o = -9*j, 0 = 3*d - 5*j - 1015. Is 335 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2615218 and 0.03.\nAnswer: -2615217.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -691238, -691198, -691128, -691016, -690850, -690618?\nAnswer: -690308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*s = -457*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4349.249 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -2.4, -5 in decreasing order.\nAnswer: -2.4, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (737416\/(-12) + 12)\/((-12)\/(-9) - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 330012?\nAnswer: 330022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 578499.5 litres in millilitres?\nAnswer: 578499500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 6*h + 4. Suppose -8 = h*x, s + 4*x - 75 = 3*x. What is the remainder when s is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let m = p + -4. Let r = m - -9. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 1:24 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 + 116. Solve 5*g + 17 = 3*z + w, 0 = -g + 3*z - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g - 22*g - 2*g. What is c(1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -833 + 676. Sort -1\/6, k, -4 in ascending order.\nAnswer: k, -4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.5, 1, 0.3 in decreasing order.\nAnswer: 3.5, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.655 + -1.238. Let m = -0.017 + t. Let f = -8.3 + m. What is the closest to -3\/4 in f, 3, 2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11212 - 5870. What are the prime factors of z?\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*14\/(-4)*(-73)\/((-28616)\/(-2072))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 24. Let r be m\/7 + (-3)\/7. Which is the closest to 0? (a) r (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -81. Calculate the smallest common multiple of 54 and x.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4162 + 19322. Suppose 4*q = 3*i + v, 4*q - 15176 = -3*i + 2*i. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233\/375 + -36\/125. What is the closest to -2\/5 in 0.04, t, 4, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 27 + -3 - -36.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538867 is divided by 520.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -2*u**3\/3 - 6*u - 7. Let m(b) be the first derivative of r(b). Calculate m(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 4*v**2 - 5*v + 8. Let z be (-2)\/4 + (-26)\/(-4). Let l be n(z). Let t = -154\/3 + l. Which is the smallest value? (a) -1\/3 (b) t (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.75 + -2.35. Let r = 122 + -100. Let k = v - r. Which is the third biggest value? (a) -0.2 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*o**3 + 64\/7 + 20\/7*o**2 - 64\/7*o = 0. Calculate o.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 173*w = -169*w - 20, 3*n + w = 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191915332 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7809 + -7334. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 - 2*n**2 + 6*n - 3. Let q(a) = -10*a**3 - 7*a**2 + 19*a - 8. Let c(f) = 7*b(f) - 2*q(f). Let w be c(2). Is -10 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 668 and 835.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 3. Let n be f(12). What is the units digit of ((-3)\/n)\/((-3)\/(-621))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2875445 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -6 + 1 + -4 + 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1646248 is divided by 244.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 313.\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 2) + -11 - (3 - 11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 3 - 28*n**3 + 3*n**2 + 0*n + 27*n**3. Let q(p) = p**2 + 51*p + 347. Let b be q(-43). What is w(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-30)*2*(-102)\/(-952)*35.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - c**4)*(-c - c + 0*c) + (-c + 4*c**2 + c)*(3*c - 3*c + 2*c**3).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11650983 is divided by 487?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 572*f**4 - 1804*f**2 + 1390815.\nAnswer: 2288*f**3 - 3608*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 53*u + 1235. Let x be s(-34). Calculate the highest common divisor of 95 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68.3 - 69. Let m = 0.4 - x. Let n = -1\/5 - 2\/15. What is the second smallest value in n, -5, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1344752?\nAnswer: -1344753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -77, -197, -423, -791?\nAnswer: -1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-6)*(-1)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(5\/2 - -4). Let k(n) = 36 + 8*n - 18 - 3*n + 0*n - n**2. Let s be k(7). Solve 0 = s*l + b - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2*8\/(-18). Let x = -163.1 + 163. Let f = -1 + 1. Which is the closest to x? (a) d (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 522\/13939 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = 5*x, x + 2*r = 3*r. Let l = 29 - 27. Suppose -l*t = -t - 2. Solve -t*m = x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 4*s + 3. Let q be k(-3). Let w(y) = -y**2 + 7*y - 1. Let u be w(q). Suppose 0 = -0*z + u*z. Solve 5*t = m - 6, -2*t + z*t + m = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -48 + 25 - (-1 - -17)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -104 + (27 - 23) + (359 - 343).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6381405 to the power of 1\/2, to the nearest integer?\nAnswer: 2526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 8. Let i = 13 + n. Let k = i - 5. Is 2\/9 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.57. Let u = 19 - 18. What is the closest to u in p, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a factor of 481988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6493)\/302 - 7\/(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(-4*sqrt(63)))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {d: 2, a: 1, v: 2, x: 2, u: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 8 = -3*w + 4*p, -3*w - 5*p - 23 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*u - 26 = 0, -4*d + d - 37 = 5*u. Find the common denominator of (-2)\/d + 93\/(-4) and 85\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 12*v - 29 - 37, 0 = 929*g - 927*g - 3*v - 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -56, -6, -20, 3 in increasing order.\nAnswer: -56, -20, -6, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 11986.\nAnswer: -11986.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 884 and 11530675?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 6. Does 7 divide 3\/(-6)*r*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218509097 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/4*(-8)\/12)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150127.\nAnswer: 17, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*q + 8*q = -13631, 0 = 4*w + 3*q - 18194. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 5255*h - 2629*h - 2626*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(-3) - 105\/(-252)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -145098, -145096, -145094, -145092?\n\"Answer: 2*w - 145100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 27. Is 0 + 2 + (m - 0) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/6))**(2\/33)*(h*h**(-9)\/h)**(-30\/7) assuming h is positive.\nAnswer: h**(26765\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-22))\/(21\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - q + 1. Let g(a) = 3*a + 2 - 3*a**2 - a**3 + 1 - 6*a. Calculate -g(z) + 3*j(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4920 - 4918. Sort -8, -3, 4, m, 0.\nAnswer: -8, -3, 0, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40304472 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 1620.\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 4*g + 22 = 2*c, -c + 3 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -3838*m**5\/5 - 3104*m**3\/3 - 4122. What is the third derivative of c(y) wrt y?\nAnswer: -92112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 12. Let h be l(0). Suppose -h = -t + 7. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*12\/40*57855\/(-203)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 11. Suppose -y = w, 4*q + 42 = -4*y - 50. Let h = q + 23. Solve -h*f - 6 = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3\/(-12)*-2*-2 + 358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -3) + 6\/2. Let t(v) = 5*v**3 - 6*v**2 - 4*v. Let o = 291 - 289. Let m(f) = -9*f + f - 5*f**o + 5*f + 0*f + 4*f**3. Determine j*m(z) - 3*t(z).\nAnswer: z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 3*v**2 - 7*v + 13. What is x(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 747 or 8\/19?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (6\/(-9) - -1). Let v be 1388\/(-1808) - (-1096)\/61924. What is the nearest to u in 27\/4, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874 divided by 6?\nAnswer: 937\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0.11, 2\/3, -141, -3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 724657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -86*o + 9. Let a(f) = f + 3. Let g be a(-7). Is v(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400505, -400504, -400493, -400466, -400417?\nAnswer: -400340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.651358807 to four decimal places.\nAnswer: 0.6514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004101543 to 5 decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261513 or 261509?\nAnswer: 261513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.12, -926.3, 11, 19?\nAnswer: -926.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5256202.\nAnswer: 2, 7, 375443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000082463 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 97.12097 decades?\nAnswer: 0.9712097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 5:53 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624979 and 8729?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 134746200 to the nearest one million.\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2236067769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51464263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 22*t**2 - 42*t - 35. What is p(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9522 and 2182.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/8*(-4)\/30. Let k = -86 - -85. Which is the biggest value? (a) -0.4 (b) k (c) y (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (sqrt(720)*6 + sqrt(720))*-6) + sqrt(720) + 1 + -5)**2.\nAnswer: -4224*sqrt(5) + 1393936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*g + 0)*(g - 3*g + 3*g) + g**2 - 3*g**2 + 0*g**2 + (0 + 0 - 2*g)*(2*g - 4*g - 2*g) in the form z + u*g**2 + o*g and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 2*q)*(-1 + 2 + 1)*(-q - 2*q**4 + q) + 0*q**5 - 2*q**5 - 6*q**5.\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648*-6.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -36)\/((-474)\/(-1111530))?\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)\/q*q*q**(-1\/21) assuming q is positive.\nAnswer: q**(-211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:10 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -22995*l. Let d(u) = 11498*u. Let v(o) = -5*d(o) - 2*w(o). Let i be v(-2). What is i rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*d = 7 - 127 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1675 + 1672. Let o(y) = -y**3 - 7*y**2 - 7*y - 4. Let x be o(-6). Which is the third smallest value? (a) x (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1074 and 1166185.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*n, 178*a - 183*a - 20*n = 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 2*x + 5. Let z be r(3). Suppose 654 = z*n - 474. Suppose -n = m - 5*m. Is 36 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -580 + -1477?\nAnswer: -2167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471114 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 9332805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3140547 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -16. Suppose -2*v - 8 = -w*v. Suppose 10*l - 8*l - 2*f - 14 = 0, -4*l + f = -22. Solve -l = v*p + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3026279 + 7373721 = -2*j. Round j to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3891 + -3. Is s a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/4 - (-11 + 9). Which is the closest to 0? (a) 0 (b) w (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -0.06.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -30*y - 15*u + 17*u, -30 = -3*y + 5*y - 6*y - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21626?\nAnswer: 2, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0235 - 0.0235. Which is the closest to 4? (a) h (b) -1 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57039504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q + 1. Let u(j) = -2*j**2 - 1719*j - 4. What is -6*l(o) - u(o)?\nAnswer: 2*o**2 + 1623*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21418, -8, 2 in decreasing order.\nAnswer: 2, -8, -21418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 2. Let l be p(5). Let a be -4 + (-92)\/(-20) - 2035\/(-25). Let v = a + -66. What is the greatest common divisor of l and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -666735 (base 9) to base 16\nAnswer: -61529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3471031 - 278610.7.\nAnswer: -3749641.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -8876?\nAnswer: -3550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 277*j - 85. Let s be n(6). Suppose -s = -5*v - 2*k + k, -2*v + 3*k + 624 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151570 to the nearest one thousand.\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -70 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 312\/20 - ((-2)\/(-5))\/(-1). Let q = -3 + f. Let c(p) = 19*p + q*p + 20*p - 62*p. What is c(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2285*w + 50908 = 16867 - 36794 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 472 + -872. Round j to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33656179?\nAnswer: 33656179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 586*w**2 + 346 wrt w.\nAnswer: 1172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*(-572)\/(-208)*8?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -7 - 23. Let q = -1625 - -1625.12. Which is the second smallest value? (a) g (b) 4 (c) q (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/9707572 and -111\/7627378.\nAnswer: 106783292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 5*d - 2 - 2*d**2 - 2*d**4 + 2 in the form k + x*d + s*d**2 + i*d**3 + q*d**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 5)*(0 + 0 + v) + 1 - 1 - 2*v)*(2*v - 2 + 2 + (-2*v + 2 - 2)*(2 - 1 + 0) + v - v - v - v - 2 + 2).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -212501*b**3 + 4*b**2 + 5*b. Let u be l(-1). What is u rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 255 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 736909 = 108*k - 37*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0386 - -0.3614. Which is the nearest to 0? (a) -3\/7 (b) -0.1 (c) 172 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 8 = -2*g. Let f be ((-2)\/(-15))\/((-3)\/5). Let z be (-24)\/(-9)*(2\/(-4))\/((-7)\/(-21)). Which is the closest to 2\/13? (a) f (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**4 - 72*b**3 + 135*b**2 - 66*b = 0?\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(468) - (4 + (sqrt(468)*3 - sqrt(468)))**2) + -4 + sqrt(1872)*-3).\nAnswer: -7568 - 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2 + 46*g + 2. Calculate y(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 11917*l + 71531. Give v(6).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 579427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*d + 6*i, -6249*d = -6248*d - 2*i + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 13*f + 16*f - 11*f.\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -2*x**3 - x**2 - 7*x. Is 10 a factor of g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t + 25. Suppose -2090 = -b + 5*u, 2*u = t*b - u - 10428. Suppose v - b = 4315. Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - (61 - (-60 + 74))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-7*n**2 + 0 - 3*n**2 + 2).\nAnswer: -20*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*k**2 + 4641*k + 121775 wrt k?\nAnswer: 26*k + 4641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from lddnlldnnylly.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + -2)*(8 + -117). Let c(t) = -6 + h*t - 1121*t + 561*t - 17*t**2 + 18 + 0*t**3 - t**3. Calculate c(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1661 (b) -3\/103 (c) 0.3 (d) -2\/7 (e) 2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0*n**2 - 1\/6*n**3 + 13 + n. Let p(y) = 53*y**2. Calculate x(p(r)).\nAnswer: -53*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.90127 to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -k + 3*f, k = f + 2. Suppose k*i + 21 = 81. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260661.\nAnswer: 1260661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/247798215 and 71\/318597705?\nAnswer: 2230183935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = -490177*b + 490212*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**8\/4032 - u**7\/336 - u**5 - u**2 + 5. Let i(p) be the third derivative of l(p). Factor i(k).\nAnswer: 5*k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(252)*-2 - (0 + sqrt(252) + 3 + sqrt(252))**2).\nAnswer: 240*sqrt(7) + 5085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 0.1. Let j(x) = 0 + x**2 + 2 + 4 + 3 + 7*x. Let g be j(-6). Which is the nearest to 2\/5? (a) p (b) -1\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 15, -7*u + 5 = -5*c - 3*u. Suppose -k = 3*a, 5*k - 60 = -0*k - c*a. What is the remainder when 72 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1202*z - 1. Let a(x) = -7*x. Calculate 9*a(m) + h(m).\nAnswer: 1139*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(2\/(-3) - (-14)\/(-42)). Let z(b) = 105*b**2 + 3*b - 2. Let s(r) = 210*r**2 + 5*r - 3. Let h(u) = a*s(u) - 5*z(u). Let o(l) = l. Calculate h(o(n)).\nAnswer: 105*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) - 9\/(-2). Let l(m) = 2*m**3 + 17*m**2 - 12*m + 13. Let x be l(-9). Calculate the greatest common divisor of x and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 2811, 6600, 11905, 18726, 27063, 36916?\nAnswer: 48285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189)*1)\/sqrt(9))\/sqrt(7))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y + 3386*y**2 - 3358*y**2 + 2*y.\nAnswer: 28*y**2 + 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -6. Let w = -13\/2 - -6. What is the closest to -4 in 2\/7, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = -5*i, -3*t - 17 - 5 = 4*i. Let y be (-30)\/(-105) - (1 + t)\/(-1). Which is the biggest value? (a) y (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -219a35 + 4?\nAnswer: -219a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18*6\/8*4\/(-6). Solve 10 = -3*t - 2*t, -3*t = f + v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h - 6*h**5 + h**4 + 6*h**4 - 7*h**4 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - ((-3 - -4) + 22)) + 7 + 46\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*9\/((-36)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 27*m**2 + 26*m + 1342. Give h(12).\nAnswer: 1222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 6*p = -0*p + 6, 0 = -2*a + 4*p - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p\/(((p*p*(p**(-12)\/p)\/p)\/p)\/p*p)*p*p**(-2\/29)*p)\/(p**(13\/4)\/p*p*p*p**(-12)) assuming p is positive.\nAnswer: p**(3095\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3 - 20796*j**2 - 20792*j = 0.\nAnswer: -5198, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 2*n - 6*n + 4, 5*q - 3*n = -19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -211*v**3\/6 - 173*v. Let f(r) = -4*r**2. Give n(f(t)).\nAnswer: 844*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5 - (2 - (4 - -2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -39, -0.2, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6810*q + 6748. Give j(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, -25, 5, -0.5, -2, 4, -43.\nAnswer: -43, -25, -2, -0.5, 7\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44057786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100233414 (base 5) to base 15.\nAnswer: -7d459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152121 (base 7) in base 5?\nAnswer: 1421222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*h + 20, -3*h - 8 = -2*a - 2*h. Suppose -8 = 2*y - a*y. Suppose 0 = -4*d - 5*w + 27, 2*w + 42 = y*d + 4*w. Solve -d + 11 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.196124ml to litres.\nAnswer: 0.000196124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 3*j**2 + 12*j**2 - 5 - 6*j - 7. Let z be m(8). Suppose -3*b - 15 = -z*w, 2*w + 2*w = -2*b + 10. Solve -4 = q + w*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**4 + 5*u**4 + 3*u**4 - 4*u**4 + 3*u**4 - 5*u**4 - 2 + (-3*u + 3*u**3 + 3*u)*(-4*u + u - u).\nAnswer: -16*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2369 + -1313. What is the highest common factor of u and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 2893?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:01 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*g + 5*g - 46 = 0, 0 = -2*k + 4*g + 36. What is the remainder when k is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741831838?\nAnswer: 2, 11, 1291, 26119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**4 + 16*s**3 + 476*s**2 - 984*s - 1440 = 0?\nAnswer: -10, -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051839.2 months in decades?\nAnswer: 17098.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(4*v - 5*v - v) + 0*v + 4*v - v + v - 2 + 2 + (v - v + 3*v)*(6 - 11 - 10).\nAnswer: -39*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10934658 or -10934653?\nAnswer: -10934653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 41, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*k**2 + 5473*k - 5473*k.\nAnswer: 162*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 6:00 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (9 - (1 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-7 - -1) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-30))\/((-1276)\/(-290)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -220210222120201?\nAnswer: -220210222120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 24*j + 2. Let x(n) = -n**2 + 8*n - 1. Let p(o) = -8*x(o) - 3*y(o). Calculate the least common multiple of p(8) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 10 = 0. Suppose -l*x = -0*x - 15. Let y = 38 - 26. Solve y = x*d - b, 5*d - 6*b - 27 = -2*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -319, -565, -875, -1249?\nAnswer: -1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9898759, 9898735, 9898711, 9898687, 9898663?\nAnswer: 9898639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 74*o**3 + o**2 - 2*o + 5. Let r be a(5). Let c be 4\/(-20) + 1814\/r. Let x = c + -21289\/7416. What is the common denominator of x and -101\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 + -122. Put z, 2, 3 in decreasing order.\nAnswer: z, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1901 = 207*p - 800 - 1439 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = 13. Solve -3*z + 4*z = -2*h - d, 0 = 2*h - 3*z - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 579914.7 centimeters to micrometers.\nAnswer: 5799147000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/(3\/9). Suppose 26*f = f + 199 - 49. Solve -4*v = -y*v + f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 371 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8219426.205 - -32.\nAnswer: -8219394.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 448.7 (b) -0.1 (c) -3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 8. Suppose -u*g + 225 = -3*g. Suppose -4*z - z = -90. Calculate the greatest common factor of g and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-21)*-2)\/((25 - (-7)\/14) + -27)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 19 - 0 - (-9 + 3 - 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5*(-3)\/5*(-118)\/24 and -71\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 986419 divided by -7?\nAnswer: -140917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 + 64.105. Let m = i - 0.605. What is the closest to -1 in -1\/3, -0.03, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26785641 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 100237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 7*j**5\/30 - 11*j**4\/6 - 5*j**3 - 3*j**2 - 5. Let g(t) be the first derivative of a(t). What is the derivative of g(k) wrt k?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 1\/60*f**5 + 0 - 3\/40*f**6 + 3*f**2 - 1\/24*f**4 - 1\/6*f**3 + 0*f. Calculate y(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155 - -0.29239.\nAnswer: 155.29239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 6:39 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let x be -8*(-19)\/(-152)*-3*1. Let a(v) be the third derivative of -15*v**2 + 0*v**4 + 31\/60*v**5 + 0 + 0*v + 0*v**x. Calculate a(k(m)).\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from eemattaeattttl.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 87055.02 kilometers in centimeters?\nAnswer: 8705502000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -212, -422, -630, -836, -1040, -1242, -1442?\n\"Answer: z**2 - 213*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.406229 rounded to three dps?\nAnswer: -2.406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95 by -1633.\nAnswer: -95\/1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.364 - -0.264. Let u = 3.3 + -3. Let t = -0.7 - u. Do t and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/250 + -3647\/750. Let a = z + 31\/5. Factor 2\/3*r**4 - 2*r**2 + 0*r**3 + 0 + a*r.\nAnswer: 2*r*(r - 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -145800*c**2 + 1080*c - 2 = 0.\nAnswer: 1\/270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 864*k**2 + 7*k + 35*k**4 - 434*k**2 - 430*k**2 wrt k?\nAnswer: 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24516238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w + 0*w)*(-1 - 3 + 5 + (0 - 1 - 1)*(-4 + 1 + 2))*(-5*w + 3*w - 3*w).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -125*m - 30. What are the prime factors of r(-4)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12320 - -23080. Does 77 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 2, h: 5, d: 1, s: 6, m: 3}. What is prob of sequence hmml?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204110 is divided by 644?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - 2*r**2 - r + 1. Let a be d(3). Let q = a + -41. Suppose -3*k - 2*k + q = 0. Solve -3*p + k*p - 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -1\/2*m**3 + 0 + 4*m**2 + 0*m**5 + 1\/12*m**4 + 0*m - 1\/120*m**6. Calculate v(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 + -3?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831.47 meters to millimeters.\nAnswer: 831470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 17 + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/15)\/9*5\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 211 + 83 = 0. Let f be (v\/8)\/(5\/(-4) - 0). Factor 8\/5*k + f + 2\/5*k**2.\nAnswer: 2*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84261?\nAnswer: 3, 28087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffyyyyfyff. Give prob of picking 1 y and 3 f.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 51*k**3 + 559*k**2 + 67*k + 901. Determine l(-11).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:53 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644 + 897 = -59*x - 642 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let y(n) = 2746*n**2 + n. Give y(w(i)).\nAnswer: 2746*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 2*q**2 + 2*q**2 + 2*q**4 - 4*q**3 + 4*q**3 + (-2*q**2 - 3*q**2 + 3*q**2)*(-2*q**2 - q**2 + 2*q**2) - 2*q**4 + 1 - 1.\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 2 t when four letters picked without replacement from ftottfttotomttotfom?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27001313.\nAnswer: 73, 283, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*r - 953*r + 485*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/1440 and 133\/768.\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -389 (b) -2 (c) -1\/2 (d) -0.112 (e) -0.1 (f) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 17*f + 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (410\/(-205))\/(2\/(-14))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1171309 and -4025827?\nAnswer: 2854518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20022958.05735 + -20021034. Let s = 1924 - v. Round s to 3 dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 8, 0.051, 2\/9 in descending order.\nAnswer: 8, 1, 2\/9, 0.051, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (6195\/413)\/(1\/2) and 895?\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201000120 (base 3) to base 8.\nAnswer: -101415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 4 - 1 - 5)*(420*u**2 + 88*u**2 + 266*u**2 + (u + 1 - 1)*(-2*u + 0*u + 0*u)).\nAnswer: -772*u**5 - 1544*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228 - 961 - q + 98 - 725 - 314.\nAnswer: -q - 2130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -78 + 248 + 10*a**2 - 5*a - 5*a**2. Let x(f) = 3*f**2 - 3*f + 85. Let g(k) = -7*x(k) + 4*z(k). Is g(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -12, -7, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -4 (c) -1787 (d) -3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*(0 + 0 + 3)*(-2*v**3 + 6*v**3 - 3*v**3) - 4537*v**2 + 4537*v**2 + 122*v**3 to the form r*v**2 + p + g*v**3 + m*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 12 + 657*d**3 - 655*d**3 - 2*d**2 + 13 - 56*d**4 - 4*d**2 in the form h*d**3 + m + c*d**4 + t*d + u*d**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12c (base 15) in base 14?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -191, -144, -97, -50, -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9298 + 9238.87. Round k to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1)\/(l\/(l*l**3)))\/(((l\/l**0*l)\/l)\/(l*l\/l**(-3\/2))) assuming l is positive.\nAnswer: l**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-27) + 8)\/(8\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 648.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 955, 1014, 1081, 1162, 1263, 1390, 1549, 1746?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 7*z - 38\/3.\nAnswer: -(z + 2)*(z + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - d**4 - 5*d**3 + 5*d**3 - 15*d**4 + 8*d**4 - 2*d**4 + 3*d - 3*d + d**4 + (2 - 5 + 5)*(-d**4 + 2*d**4 + 0*d**4).\nAnswer: -7*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 - 6 = 13*w. Let s be 2*13*(w\/(-12))\/(-9). Factor -19*l**3 + 25*l**2 + 20 + 11*l**3 + 40*l + s*l**3.\nAnswer: 5*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(8\/408). What is the highest common factor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122392.\nAnswer: 2, 307, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yghnqyn. Give prob of sequence hg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.5355 nanometers in meters?\nAnswer: 0.0000008325355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.016, 5, -37 in ascending order.\nAnswer: -37, -11, -0.016, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 0*g**5 + 0*g**6 + 0*g**4 - 1\/7*g**7 + 10 + 0*g**2 + 10\/3*g**3 + 0*g. Find the third derivative of z(b) wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 650 and 53450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487735 is divided by 764.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**3 + 12*i + 41. Let m be f(-3). Is 84 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 97682264 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25510*f**2\/7 - 229518*f\/7 - 648\/7.\nAnswer: 2*(f - 9)*(12755*f + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose 0 = w + 2*n - k*n - 7, 3*w + 3*n = 6. Let h be -4 - w - (3 - 29). Calculate the highest common factor of 200 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -19.408. Let l = m + 0.178. Let c = -8.23 - l. Is c bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*t = 6 - 16, -t = -3*y + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6db5aa + -3?\nAnswer: -6db5ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**2 - 14*z + 14. What is the first derivative of o(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - 11*s + 9*s + 22*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175195\/18 - -9730. Let y = -549 - -286. What is the common denominator of z and (-2)\/3 + y\/(-48)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/7)\/x**(2\/15)*x**7\/x**(-1\/8) assuming x is positive.\nAnswer: x**(5993\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/5 - 26469*j\/5 - 52942\/5 = 0.\nAnswer: -2, 26471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 - 47*y**2 + 6*y**2 + 7*y**2.\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from {k: 1, n: 1, r: 2, x: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 71113391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2533*o**2 - 26*o - 48 wrt o?\nAnswer: -5066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*l + l. Suppose -l*h + 36 = -0*h. Let q = h - 5. Solve -4*v = q*w - 4, 4*w - v - 31 = 4*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((5 - 17) + (-5 - -10) + 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166489 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/40 and 95\/1710048.\nAnswer: 8550240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-5)*15\/6. Suppose -5*p - 2*o = -10, -1 + 11 = t*p + 2*o. Suppose -u + 0*u + 6 = p. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a + 12 + 52 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + 3*a)*(-1 - 2 + 4 + (2 + 0 - 1)*(-5 + 3 + 3) - 5 + 2 + 5) + a - 2*a - a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229 - 688\/3. Let z = -3 + 3. What is the smallest value in z, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(246\/840 - (-1)\/(-7)). Solve 3*a - c = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1083988 and 11746?\nAnswer: 7587916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 62*j = -40860. Let q = j + -365. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*y = -23, -84*o + 4 = -80*o + 4*y. Solve p + o = -0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - h + 19, 242*x - 240*x = 3*h + 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 4*t**3 + 4*t**3 - 2*t**3 + 2*t**3 - 5*t**4 - t**4 - 3*t**4 + 5*t**4 + (0*t + 0*t - 2*t)*(2*t**3 + 2*t**3 - 2*t**3) + 2*t**3 - 2*t**3 - t**4.\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(-1)\/2*2. Suppose -22 = 3*n - 34. What is the first derivative of -n*z - k*z + 8 + 2*z wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401640131.\nAnswer: 3, 467213377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t. Let h = -436 - -434. Let m be 1\/(((-4)\/3 + 2)\/h). Let s(f) = 25*f. What is m*s(b) + 35*i(b)?\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.35 + -0.05. Let u = -11 - -9. Let l be (-3 + 2 + u)\/(-4). What is the second biggest value in l, 1, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/124 in -1, 1, -4, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 35. Suppose 0 = -u*g + 12*g + 72. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 7*l + 14. Let t be b(-8). Suppose -t = 6*o - 174. Find the third derivative of -4*p**4 + 28*p**3 - o*p**3 - 2*p**2 + p**4 wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/4)*j*j**(-6)*j*j)\/(j*j\/((j\/j**(2\/17))\/j)*j**3))\/(j*(j\/(j\/(j*j*j**(-2\/5))*j))\/j*j**0*j**(-3\/4)\/(j\/(j\/(j**3\/j*j*j)*j))) assuming j is positive.\nAnswer: j**(-717\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*o + 5*g, 2*o + 11 = -2*g - 3*g. Let q(z) = o*z - 2*z**2 - 3*z**2 - 2*z. Let v(s) = -s + 2*s + 2*s - 6*s. Calculate q(v(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 860*a**6 - 5*a**3 + 1042*a**2 + 3*a wrt a.\nAnswer: 103200*a**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + -1.22. Let p = 1.9 + r. Let d = p - 0.6. Is d less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = 7. Suppose -24127 - 26273 = x*t. Round t to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 2, 1 in increasing order.\nAnswer: -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 415. Let a(j) = -j**2. Calculate a(i(t)).\nAnswer: -4*t**2 + 1660*t - 172225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 641187761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m - 6*m + 343 = 10*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*n + 20*n + 17*n + 31*n + 24*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**14)**26*((t\/(t\/(t*t*t**(-16\/7)*t)))\/t*t*t)\/(t*t*t\/t**21*t))**(-2\/13) assuming t is positive.\nAnswer: t**(4470\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**5\/20 + b**4\/12 + 5*b**3\/6 - 3*b**2\/2 - 9*b. What is the units digit of n(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 40. Let d = i - 22. What is the remainder when 50 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136334 is divided by 45433?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423 = 695*c - 545*c + 3321 + 1656 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2013*h = -42099 - 84720 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7426?\nAnswer: 2, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 7)\/((-2)\/22). Let i = s + -9. Let t be 66\/8 + 2\/(-8). Solve -4*f + 10 = -i*g, 3*f = 7*f - 4*g - t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(304) - sqrt(114)\/(sqrt(18)\/sqrt(3)*-3))**2.\nAnswer: 130*sqrt(19)\/3 + 3436\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.28 - -0.08. Let m(d) = 7*d + 51. Let h be m(-8). Sort h, z, 0.5 in increasing order.\nAnswer: h, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 6*y + 5*y + 4*y + 6*y. Let z(b) = 177*b. Determine z(c(q)).\nAnswer: 1062*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (680\/(-410))\/(21\/(47355\/(-110)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31521 - 10497 - 10508 - 175*m - 10516.\nAnswer: -175*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 39 = -25. Suppose q*a = 1222 + 574. What is the remainder when a is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3060*f**2 + 0 + 3061*f**2 + 0. Let d(p) = -180*p. Determine a(d(y)).\nAnswer: 32400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16600*-43\nAnswer: -713800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**4\/12 - 5*x. Let a(q) = q**2 + 2*q - 2. What is -a(w) + 2*s(w)?\nAnswer: w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13401 - -121042?\nAnswer: 134443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 3*s + 2. Let c be g(-3). Suppose -2*h - c*h = -16. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121901?\nAnswer: 19, 29, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1014, -1005, -996, -987, -978?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 17952.\nAnswer: 89760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {f: 1, g: 5, z: 3}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*b + 62 = 0, 2*s = b - 25 + 149. Calculate the remainder when s is divided by ((-63)\/(-15))\/(2\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/4 + 5*i**3\/3 + 7*i**2\/2 - 4137*i. Let b(p) = -4*p**2 - 11*p - 8. What is -5*b(f) - 6*w(f)?\nAnswer: 2*f**2 - 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133888 divided by 2092.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139783.\nAnswer: 7, 19, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 2*v**3\/15 - 3*v**2\/5 + 4*v\/5 + 6. Factor t(m).\nAnswer: 2*(m - 2)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2. Let b(k) = 4*k - 5. What is w(b(f))?\nAnswer: -32*f**2 + 80*f - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 32. Calculate the remainder when r is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(3\/8))**(-47) assuming s is positive.\nAnswer: s**(-235\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 55*z**3 + 7*z - 20. Let n(b) = 45*b**3 + 6*b - 19. Calculate 5*f(y) - 6*n(y).\nAnswer: 5*y**3 - y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let r(p) be the second derivative of -3*p + 0*p**5 + 1\/30*p**6 - 1\/2*p**3 + 0*p**2 + b + 0*p**4. What is the second derivative of r(a) wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 19, 5, -15, -41, -73, -111?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 2*l)*(1 - 1 + 4*l**2)*(-1 - 2 + 1)*(-4 + 2 + 12)*(25 - 24 + 19).\nAnswer: -1600*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u - 488560 = -88636. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2367 = -2275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**2 + 12*g + 42. Suppose -4*s + 2*q = 44, 33 = s + 2*q + 39. What is the units digit of w(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -102049?\nAnswer: 102049","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 7*t + 9. Let f be z(-6). Let h be (-2 - (-5)\/f)*-93. Let o = -22 + h. Solve 2*k - o = b + 2*b, b - 2*k = 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 369 + -290. Let z = 79.1 - o. Which is the nearest to z? (a) -2\/5 (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11665a (base 13) to base 6.\nAnswer: -12513125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {o: 2, w: 1, k: 1, i: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*w = 9710 - 20750 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -w, 4*s + 3*w - 16 = -w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 9*x**2 + 5*x**2 to s + i*x + u*x**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-219)\/15)\/((-2)\/45). Let x = 309 - k. Let l be 25*(-1)\/((-2)\/2). Solve -x*i + 8*i = l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -9*v**5 - 51*v**4\/4 + 238*v**3 - 402*v**2 - 120*v + 388. Find f, given that r(f) = 0.\nAnswer: -5, -2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -818 (b) -2 (c) 5 (d) 3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 61. Give t(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*t = i - 104*t - 24, 2*i - 2*t = 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5385?\nAnswer: 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -2.3. Let f = 3167 + -3165. Which is the third smallest value? (a) f (b) g (c) -0.5 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*h + 33*h + 18*h + 95 to p + b*h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -5*k - 12, -5*k + s - 28 = -3*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1365)\/351)\/(2010\/1206)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.106 + -0.174. Let z = 0.068 + q. Sort z, 0.4, -0.12.\nAnswer: -0.12, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 - -40 - (-15 + 4) - (14 + 4).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -n + 11. Put n, 5, -3 in increasing order.\nAnswer: -3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 73 + 38 + 50 - 5 - 9*t**2 in the form s*t**2 + a + u*t and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2077 - -2086. Calculate the least common multiple of 852 and m.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/12 - 19*a**3\/3 - 40*a**2 - 2*a - 23. Determine k so that r(k) = 0.\nAnswer: -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaauauyyauaacuaaycaa. Give prob of sequence cy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 648*(-27)\/(-864)*3*(-2)\/(-9).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -10*t + 196. Let k = 4 - 2. Find the second derivative of -6*w**k + t*w - w**2 - 41*w wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29062 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4, 0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**19)**(-15) assuming t is positive.\nAnswer: t**570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y + 15. Let x be ((-6)\/8)\/((-8)\/96). Let a = x - 2. Is i(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*a - 30 = 2*a, -2*a + 8 = 0. Let d = -10217 + 10213. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Find the first derivative of 25*c - 25*c + l + 3*c**2 wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -24 + (2 - (-1 + -16)) + -22.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 40 = 35. Solve q = 5*b + 25 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-224)\/(-10))\/(91\/(-35) - -3). Solve h*v - 54*v + 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0 - 102. Suppose 0 = -r + 11 - 3. Let n = r - i. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357778 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnx when three letters picked without replacement from xxhhhhhhfnxhfhhfffn.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683881?\nAnswer: 11, 62171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 13*a - 12. Let g be m(-8). Let p = 52 - g. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10180*w**3*z**3 - 23*w*z**3 - 15*z**3 wrt w?\nAnswer: 61080*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -29 in descending order.\nAnswer: 4, 2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 335 + -330. Suppose 4*v - 2*v = r - 329, -n*v = -2*r + 657. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k + k - k - 7*k to n*k + h and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11453 - 11561 = -6*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 188946.\nAnswer: 377892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c. Let j(q) be the first derivative of 196*q**3 + 1193. What is j(r(y))?\nAnswer: 2352*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1203003 - 4234?\nAnswer: -1212242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-199)\/(-7) + ((-20)\/7)\/(-5). Suppose -7*u + o = -34. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 136520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z - z)*(z + z**2 - z) + (1 + 2*z**2 - 1)*(24*z - 27*z + 38*z).\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 490 - 487. Solve -a*y - 7 = 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4)\/16*(0 + -28) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -943 - -3797\/4. What is the common denominator of o and (53\/954)\/((-1)\/123)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 14. Let v be n(-11). Let b = 2 + v. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210331 + -2?\nAnswer: -210333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 != 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.3. Suppose 2*w - d - 14 = 3*d, d + 1 = 0. Let u(p) = -p**2 + 6*p - 4. Let i be u(w). What is the closest to i in -2\/9, t, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5}. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.026? (a) 4 (b) -4 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -771? (a) -11 (b) -2\/7 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 98\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/3 - 2119150*g\/3 - 224539836125\/3.\nAnswer: -5*(g + 211915)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30220 (base 4) in base 12?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/26751 and 19\/11607.\nAnswer: 103499619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 286 + -237. Calculate the least common multiple of w and 2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7\/9)\/(t\/(t\/((t**(1\/18)\/t)\/t)*t)) assuming t is positive.\nAnswer: t**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -4, 4, 8, -10 in increasing order.\nAnswer: -10, -4, 3, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*196\/(-490)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -2 (c) -0.16 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64, 47, 16, -35, -112, -221, -368?\n\"Answer: -d**3 - d**2 - 7*d + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1206236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 37*j + 3971. Give x(-108).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 - 52059020*c + 338767695420050 = 0 for c.\nAnswer: 13014755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-84)\/(-8) + (1 - (-6)\/(-4)). Let n(f) = f**3 - 9*f**2 - 8*f - 1. Is n(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 10*w**3 - 2745*w**2 + 66300*w + 18929500 = 0.\nAnswer: -131\/2, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4 + 10*s**2 + 2 + 10*s + s**3 + 6. Suppose 5*l = -0*f + 3*f - 30, -65 = 5*l + 4*f. What is the units digit of i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 190*u - 36 - 191*u.\nAnswer: -u + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -252 + 3278\/13. Which is the closest to -0.2? (a) 0 (b) g (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*y**2 + 54*y**2 - 11*y**2 + 157*y**2.\nAnswer: -143*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 8. Let y be f(7). Let n be (2682\/4)\/(42\/8). Let s = 128 - n. Does y = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361548.\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 29. Suppose v = -p + 5*v + 9, -5*v = p. What is the common denominator of (-2)\/l*515\/p and 57\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*8 + -2 - 19081482\/636366?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 7*y + 5. Let i(o) = -o**2 + 6*o + 17. Let g be i(8). Suppose 0*v - f - g = v, 3*v - 1 = f. Let w be t(v). Solve 0 = -w*d + 1 - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/6 - ((-7)\/(-3) - 2). Suppose -z + 2*t - 13 = -2, 0 = -3*z - 2*t - u. What is the smallest value in 0, -3\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 - 18 = -s, 0 = -3*s + 3*q + 6. Let k be 1972\/(-24) - (-4)\/24. Let i = 86 + k. Solve -i + s = 3*y - 5*h, -5*h - 22 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101.47 - -101. Let o = -0.07 - i. Which is the second smallest value? (a) -5 (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -11 + 0*q**3 - q**2 + 1\/2*q**4 + q - 1\/5*q**5. Factor i(f).\nAnswer: -(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -19*m + 43 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1619 - 8.35?\nAnswer: -1627.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x - 5. Let z(n) be the third derivative of 3*n**4\/8 - n**3 - 9*n**2. Calculate 6*h(k) - 5*z(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15697 and 62?\nAnswer: 973214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -78 + 43 + 62 + (-16 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 plus 65021?\nAnswer: 65018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**6\/120 + 17*k**5\/40 - 2*k**4 - 85*k**3\/3 - 175*k. Let v(o) be the second derivative of g(o). Factor v(j).\nAnswer: -3*(j - 16)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from mgu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -302 + 158. Let n = 243 + r. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -162 in 0.04, -0.4, -6, -10, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -93. Suppose -r*p - 369 = -43*p. What are the prime factors of p?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41240789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 36 = f. Let x(i) = i - 2. Let b be x(-5). Let j = f - b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*w - 0*w, -2*w - 10 = -2*b. Suppose 0 = 4*l + 5 - 25. Solve -l*p + 5 = -b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 0 + 2 + q + 38*q**2 + q. Let l be m(-2). Is l\/14 + (-12)\/(-42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179 + 121. Let l = u - -186. Let t = l - 128.051. Round t to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 12*d**2 - 9*d + 9. Determine o(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2466, 6227, 10016, 13845, 17726?\nAnswer: 21671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5492, -10985, -16478, -21971?\nAnswer: -27464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67592 is divided by 1408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1717768 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-357422)\/16107 + (-40)\/(-14)?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -174, -291, -408?\n\"Answer: -117*g - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 0*r**2 + 6 + 0*r + 13\/3*r**3. Let x(b) = b. Calculate n(x(m)).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*r - 1820 = 227*r. Calculate the remainder when r is divided by 71.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-36) + (-71)\/36. Sort l, 4, -0.3, -1\/2 in descending order.\nAnswer: 4, -0.3, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 53*d**2 + 401*d + 11106. Determine t(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.7 - -17.7. Let p be 32\/80*25\/15. What is the closest to p in -2.6, -0.1, a, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 852, 1278, 1704?\nAnswer: 2130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-8 - (-39 + -10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 6)*(5*u + 3*u - 5*u) + (-u + 3*u + 0*u)*(0 + 3 + 1) as z + o*u and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 79. What is the hundreds digit of 196*((-28)\/(-16) - s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 1. Let r(q) = -7*q - 6. Let p(b) = 6*j(b) + r(b). Let g(w) = -897850 + 897850 + 27*w**2. What is g(p(a))?\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 154 = -122. Let o(d) = 5*d**2 - 87. Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*i = -15 - 25, h - 4*i = 24. Suppose h*z - 7*z = 26. Let n = z + -9. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -518688.803 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - w = 0, g - 3*w = -6*w + 12. Let v = g - 6. Is 23\/((-116)\/(-38) + v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 3. Let i be a(-3). Let v = 68\/11 - 664\/143. Let f = v + 25\/26. Does f = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s. Let t(j) = j**2 - j + 4. What is t(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 194122*y + 970560.\nAnswer: 2*(y - 97056)*(y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2110 and 0.0612044.\nAnswer: 2110.0612044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 45*x. Let w(r) = 51734*r**2. What is k(w(h))?\nAnswer: 2328030*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -293052673*x**6 + 618200584*x**2 wrt x.\nAnswer: -35166320760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.444 - 0.307. Let c = 866.063 + -866. Let w = j + c. Put 0, w, -1, 4\/9 in descending order.\nAnswer: 4\/9, w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyzpvpytppppztzpvppy. What is prob of sequence vz?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3546, -3613, -3680, -3747?\nAnswer: -3814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (54 - (119 + -29))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 32 = -2*z, 3*z + 2 = -4*f + 48. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/315*(0\/2 - 4). What is the second smallest value in 3, r, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261647 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, i: 4, x: 2}. What is prob of picking 1 j and 2 i?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189525 and 6137.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 268 = 232. What is the smallest common multiple of 240 and q?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -304.\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -8. Let r = g + 3.1. Let i = -0.1 - -1.1. What is the third smallest value in 0.3, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u**2 - 3*u + 2. What is the units digit of p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 12. Let t be l(7). Let r be t + (4 - 1) + -2. Let y(m) = 5*m**2. Let o(w) = 16823 + 6*w**2 - 20*w**2 - 16823. What is r*o(x) + 8*y(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -440067*y**2\/4 - 8043*y\/2 - 147\/4.\nAnswer: -3*(383*y + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 4*k - 207 = 3*m, 87 = 2*m + 3*k. Calculate the highest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -907 - 33602 = -3*t + 6*w, -5*t = -2*w - 57563. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fdbf11 (base 16) in base 5?\nAnswer: 13224121041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/12 - (-88)\/32\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.55*-5.\nAnswer: -32.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800121?\nAnswer: 3, 7, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 7:22 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u - 29*u**5 + 0*u**2 - 8*u**2 + 8*u**2 wrt u.\nAnswer: -580*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2824, -2950, -3148, -3418, -3760, -4174?\nAnswer: -4660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 4. Let v = -1 - -5. Let g(s) = s**2 - 4*s + 2. Let t be g(v). Sort t, p, -1 in decreasing order.\nAnswer: t, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648938 a multiple of 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1931 - 2783 - 392 = 92*g - 23*g for g.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-4)\/(-1)))\/(110 + -112)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 219*b - 2020. Let x be d(-9). Solve 11*m = x*m - 105 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 127*n + 40. Calculate the remainder when t(5) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 554617?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 7:14 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.4826 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9880232*u - 7246260 wrt u.\nAnswer: 9880232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -72 + 18 + (21 - 3) + 1 + 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 6*h**2 + 7*h. Suppose -o + 5*r = 4*r - 6, 0 = o + 4*r - 6. List the prime factors of k(o).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/356 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/60 and 67\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-3 + 2 + -1). Let c(r) = -5*r**2 + 4*r + 19. Let s be c(-4). Let q = -230\/3 - s. Sort i, 4, q in decreasing order.\nAnswer: i, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14196 divided by -364\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 4:42 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q. Let t(f) be the third derivative of -f**5\/10 - 4*f**2. Calculate g(t(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 124*l**2 + 440*l + 4000.\nAnswer: 4*(l - 25)*(l - 10)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -436 (base 9) to base 15\nAnswer: -18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**5 + 414*v**4 - 14583*v**3 + 27936*v**2 - 13764*v = 0.\nAnswer: 0, 1, 62, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -148*r - 147*r + 439*r - 144*r - 24*r**2. Let d = 5 + -1. Let i(l) = 3*l**2 - 6*l**2 + 0*l**2 + d*l**2. Determine i(j(n)).\nAnswer: 576*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16.8361ml?\nAnswer: 0.0168361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/5 - 81*c**4\/5 + 53*c**3 - 221*c**2\/5 - 39*c\/5 + 74\/5 = 0. Calculate c.\nAnswer: -1\/2, 1, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*a + 4224 - 1099 = -7231 + 636 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5*-6840421\nAnswer: -34202105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4785*d**2*z**3 + 22*d**2*z**2 - 5*d**2*z - 4*d*z**6 + 2*d + 2*z**2 wrt z.\nAnswer: -28710*d**2 - 480*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2 + 216*j = 0. What is j?\nAnswer: 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**3)\/k*(k**1\/k)\/k*(k\/k**(-6))\/(k\/k**(-2\/5)) assuming k is positive.\nAnswer: k**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 35*m + 523. Let n be b(-15). Is -1 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5452.\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.7 + 116.7. Let x = 45 - i. Sort x, -0.4, 3\/4.\nAnswer: x, -0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-3)*(((-15)\/3)\/(15\/9))\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(22\/77))\/(2\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 17\/(-2)) + (-5)\/(-10). Which is greater: 17\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*m = -10, 5*m + 8 = 7*l - 3*l. Suppose 11 = l*t + 5. Suppose t*s = 6*s - 93. Is 31 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8238 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: 4 (base 15) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 15*f**2 - 5*f - 31. Let v be b(17). Let p = -25447\/6 + v. Let k = -102287\/10 - -10239. Find the common denominator of p and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2797.06 - 2771. Let t = 0.06 - g. Let h = t + 25.999957. Round h to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159285 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.56 - -0.36. Suppose -4*j = 4*o, -o + 3*o - 2*j = 0. Sort 1\/3, b, o in increasing order.\nAnswer: b, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbqbbbbq. What is prob of picking 1 b and 1 q?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -15*h**2 - 8*h + 43. Let a be c(3). Is -118 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {e: 3, m: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 + 2*u + 1. Let t be b(-1). Sort t, -4, -3 in descending order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (4 + -6 - -4 - 14) - (4 - -36)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10931.\nAnswer: 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5 + 241*a**4 + 13906*a**3 - 73926*a**2 + 105165*a - 45387 = 0.\nAnswer: -123, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (-2 - -10 - -4)) + -45 - 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*-6*2\/(-16). Let w be (5 + -1)*(-18)\/(-36). Solve -a*x - 15 = 0, -w*g + x - 15 = -6*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 505*n + 36 = -507*n, -2*s + 3 = -5*n for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*w + 5, -2*i + 0*i - w + 2 = 0. Suppose 0*c + 449 = 4*t - c, i*t - 2*c - 333 = 0. Suppose -4*p = -651 - t. Is 30 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*s + 638*s - 230*s - 207*s.\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4 - 3) + -1)\/1. Suppose x = -5*h + 98 + 207. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -8. Let f = 8 - 5. Suppose -7 + 19 = -f*g. Sort -6\/7, g, u in descending order.\nAnswer: u, -6\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82585 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*((-40)\/12 - -2). Suppose -7*q = -n*q. Factor -1\/3*c**3 + 0*c + 0 + q*c**2.\nAnswer: -c**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.8 + 12. Let t = 6 - r. Which is the nearest to -0.1? (a) t (b) 1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 6*m**2 - 2*m - 18. Let n be z(-6). Let w be 8\/12 - (80\/n - -4). List the prime factors of 188 - ((-5)\/w)\/(2\/4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-6)*(280\/(-6))\/(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 2. Let d be (0 - 1)*(-21 + 18). Calculate l(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.253891l in millilitres?\nAnswer: 9253.891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21607262825 less than -0.142?\nAnswer: 21607262824.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/22 and (18\/1776)\/((-36)\/(-784))?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - 3*d**2 - 3*d. Let j(m) = -4*m**3 - 5*m**2 - 5*m. Suppose 2 = -2*u, 2*c - u - 4*u - 15 = 0. Determine c*g(l) - 3*j(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -6*k + 28*s + 8, -4*k + 8*s - 3 = 7*s - 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4389, 4384, 4379, 4374?\nAnswer: 4369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*o + 12 + 24, 3*h + 2*o - 48 = 0. Let z = 16 - h. Solve -2*c + 3*y = -2*y - 35, 5*c - 15 = -z*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6376 + -6373. Let d = 15\/26 - 1\/13. What is the second smallest value in -1, d, o, 10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 1)\/(6\/648). Suppose y = 6*g - g. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -78. Let l(t) = -19*t**3 - t**2 - t - 1. What is the lowest common multiple of 5 + -3 - 7\/(a\/2) and l(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38332595100815.37841931 - -38332595367279. Let a = y - 266628.62158. Let m = a - -165. What is m rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -152\/2386363 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4638620 and -25\/873152.\nAnswer: 74217920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 3*o - 1. Let w be j(3). Let t = w + -9. Suppose -t*f = -3*f + 20. Sort 2, 1, f.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - o + 1. Suppose -753 = 2*k + k. Let n = -258 - k. Let c(v) = 6*v**2 - 3*v + 2. Give n*s(g) + 3*c(g).\nAnswer: -3*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30467*y**2 + 2 - 4205212*y + 4205212*y.\nAnswer: -30467*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/39 + 96247\/(-1417)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:12 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/6)\/14*(-55)\/(-22)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 2\/5, 1\/66 in descending order.\nAnswer: 2, 2\/5, 1\/66, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 619\/52 + -47\/4. Let q be 894\/15*120\/48. Suppose 152 = -3*n + q. Which is the closest to n? (a) w (b) -0.13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 143*j - 44*j + 66 - 127.\nAnswer: -187*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392176934 to the nearest integer?\nAnswer: 19803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -64. What is the remainder when b is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 1540*i**3 - 12*i**2 + 2*i + 6*i**2.\nAnswer: 1540*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 6. Suppose g - 5*l + 9 = 0, -3*g + 2*l - 3 + 2 = 0. Let r be 19 + g*(-3 - z). What is the highest common factor of 27 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -6)\/((-9)\/((-216)\/(-3)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/7 - 85306*z\/7 - 85308\/7 = 0?\nAnswer: -1, 42654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 1, u: 2, h: 3, w: 1, s: 3}. What is prob of sequence un?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 342.1246 millennia?\nAnswer: 34212.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 25. Solve 2*z = p - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1490504 + 410754. Let f = h - 3190246. Let u be -2 + f - (2 + 0). Round u to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374271733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8348655 take away -0.0747?\nAnswer: -8348654.9253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 173*s**2 - 394*s - 14215. Determine j(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -19*i + 3 - 18 + 12 - 2 + 2*i**2. Give w(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 1090, 2450, 4354, 6802, 9794, 13330?\nAnswer: 17410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 16237*o + 194966. What is y(-12)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2654d + 1c?\nAnswer: 2656b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/3307517 and -89\/36034.\nAnswer: 2771699246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 436 - 433. Suppose -u*d = -2*d. Solve d*w - 14 = -7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 51*v - 2. Let q(z) = 102*z - 3. Let f(u) = -3*q(u) + 5*w(u). Suppose 5*i - 14 + 19 = 0. What are the prime factors of f(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-10) - (258\/(-5) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/398 - -31787\/5970. What is the common denominator of -19\/4290 and m?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100111110001001 (base 2) in base 7?\nAnswer: 310616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Let w = u - -32. Solve -6*g = -3*g - 3*t - 3, -4*g + w = 4*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94932 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -17*f + 11 + 382*f - 15. Let q(a) = -364*a + 4. Let j(y) = 3*g(y) + 4*q(y). Is j(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*f - 15, 20 = f + d + 3*d. Suppose -15*l + 279 + 66 = f. Sort l, 3, 1 in decreasing order.\nAnswer: l, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-8) + 0*2\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -1 (c) -1\/2 (d) 9 (e) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*f + 20, -6 = 432*f - 430*f. Sort k, -86, -2 in decreasing order.\nAnswer: k, -2, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016 = 267*l - 356*l - 1476, -l - 27 = a + 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1248 + 1406. Calculate the remainder when p is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 - 1)*(-y**2 - 6*y**2 + 2*y**2)*(y - 5 + 5) in the form c + h*y + r*y**3 + g*y**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -0.2, 2\/9, -3\/8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680545839 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 303*j**4 + 1905*j**3 + 3681*j**2 + 2913*j + 768. Let q(t) = 19*t**4 + 119*t**3 + 230*t**2 + 182*t + 48. Let y(z) = 33*q(z) - 2*v(z). Factor y(w).\nAnswer: 3*(w + 1)*(w + 2)**2*(7*w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 90*r**2 - 2*r + 3. Let j be o(-1). Let x = -5 + 9. Suppose -x*n - n + j = 0. What is the remainder when 37 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117611743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 - 54*h - 8. What is o(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -18\/11 (b) 0.3 (c) -1 (d) 0.1 (e) 55920\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10401 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -3)\/((-2)\/(-1)). Suppose d = m + m. Find the first derivative of -3 + 0 + m - 5*g**3 wrt g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbyi when four letters picked without replacement from {b: 2, r: 4, y: 10, i: 1}.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -3, -3.64, -26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -59202125.74 to the nearest 10000.\nAnswer: -59200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w. Let l(d) = 3*d. Let q(i) = -4*i. Let u(h) = -5*l(h) - 4*q(h). Determine v(u(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -122*q - 10. Let c be f(-11). Suppose -9*r + 378 = -c. Suppose -z + r = 4*z. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 8*z - 35. Let i be x(3). Let b be -3 + 4 - (1 + 2 + i). Solve -5*v - 9 = 2*c, 2*c - 7*c - 5*v = b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2976*t**2 - 2. Let a(l) = -3*l. What is a(u(w))?\nAnswer: 8928*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -112397.\nAnswer: -899176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 22 = -2*g. Suppose 4*c = -5*b + 69, 5*b + g = c + 1. What is the remainder when 31 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4584*j + 82515. Calculate n(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 35, 25, -7, -67, -161?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69809125.\nAnswer: 5, 558473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 27, 46, 69, 96, 127, 162?\n\"Answer: 2*c**2 + 9*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -38. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6629 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:46 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7233 divide 1266498300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37210258 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: What is the nearest to -5 in -3, 2, 1, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196756 - -334035. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1280844 divided by -9084.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-8) - 15\/24)*0. Solve c = -6*s + s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 7 + 1880\/320\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -599*z**2 + 1250*z**2 + 743*z**2 as h + n*z + t*z**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28635 and 32108?\nAnswer: 39974460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c**3 - 71*c**2 + 10*c + 19. Let y be i(-9). Solve -y = -x - 4*s - 9, -10 = 4*x + 2*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 5*s**2 + 9*s + 10. Let h(m) = -m**3 - 60*m**2 - 58*m + 64. Let p be h(-59). Determine z(p).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/5 - 7301*s**2 - 73003*s\/5 + 109509\/5 = 0.\nAnswer: -36503, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 6*q + 4. Suppose 0 = -3*u - 3, 5*w - 12 = -4*u + 14. Give j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from {r: 1, n: 3, f: 4, o: 1, c: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*n = -206*n - 2233. What is the greatest common factor of n and 15169?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374635 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108) - (sqrt(3) + sqrt(96)\/sqrt(8))) + ((-5 + 2*sqrt(3)*2 + sqrt(3))*1)**2)*5.\nAnswer: -295*sqrt(3) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -44, -66, -86, -104, -120, -134?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a68 - -2261?\nAnswer: 13b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/711 or 0?\nAnswer: -2\/711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*h - 35, -23*h + 19*h + 5 = 5*z. What is the nearest to 0.14 in -3, 0.07, h?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24292, 47237, 70188, 93151, 116132, 139137?\nAnswer: 162172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u - 5*j - 15, -3*j + 15 = -3*u. Suppose -964 + 584 = -2*a. Suppose -186*v - 12 = -a*v. Sort 1, v, u, 2 in descending order.\nAnswer: v, 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) 0 (c) 1947525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13204733566 rounded to the nearest 100000?\nAnswer: -13204700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 6. Let y(s) = s + 6. Let x be y(-7). Let q = x - 4. Let l(j) = 2*j - 5. Let m(c) = q*b(c) - 6*l(c). Let r(f) = -4*f. Give r(m(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 1:09 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 7) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5584*49.12\nAnswer: -274286.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141870 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0337313 micrometers in meters?\nAnswer: 0.0000000337313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 265, 1, -3 in ascending order.\nAnswer: -3, 1, 4, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 151 + -14 + -55?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002582183429 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 57*p + 2. Let c(q) = -26*q**2. What is z(c(k))?\nAnswer: -1482*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4250 and 9283598?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(98)*3*6 + (sqrt(98) - (-1 + sqrt(98)*4) - sqrt(98) - sqrt(98))*-3)**2.\nAnswer: -1386*sqrt(2) + 106731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 2, -12, -32, -58, -90, -128?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-nine quarters of a meter?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*b + 46, 0*q - 3*b + 42 = 3*q. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -9.2. Let b = 24.2 + -2.2. Let w = b + -25. What is the nearest to 1\/4 in l, 5, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 496345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 686 (base 12) to base 3\nAnswer: 1022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 51. Are 8 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 572 + -572. Which is the nearest to f? (a) 0.5 (b) 0.4 (c) -5 (d) -3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 326, 482, 636, 788?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 81*d**5 - 8516 + 8516 + (2*d**2 - 9*d**2 - 29*d**2)*(2*d**2 - 2*d**3 - 2*d**2) - 2*d**5 - d**5 + 2*d**5.\nAnswer: 152*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i. Let d(m) = 17*m + 6. Let q(w) = 1104*w + 391. Let k(z) = 391*d(z) - 6*q(z). Give -3*k(x) + 8*o(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 11*r - 29. Suppose 5*k - 31 + 290 = 3*s, -s = -r*k - 88. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -2.7. Let o = 2.12 - 3.61. Let z = -9.49 - o. Is r at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/9 - 1610*u**2\/9 - 4816*u\/9 - 3208\/9 = 0 for u.\nAnswer: -802, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-686)*-14)\/(((-15)\/5)\/(-72))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 + 89*i - 22. Let k be z(22). Suppose k = 11*o - 3*o + 200. Sort 4, 5, o.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1512 and 40296.\nAnswer: 2538648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -42*n + 296. What is c(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + 2*sqrt(2299)) + 2.\nAnswer: -22*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 18*m**2 - 6*m + 67. Let z be v(13). What is z rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11041800 and 1325016?\nAnswer: 33125400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Sort 0.4, u, -3\/5 in ascending order.\nAnswer: -3\/5, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9403752 divided by -12?\nAnswer: -783646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 12) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 28268 = 3*c + 4*w, -35305 = -5*c + w. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.6 less than -224457.1?\nAnswer: -224225.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 17. Let a = u + 14.872. What is a rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 728, 2, 20, 0.5174, 2\/11 in decreasing order.\nAnswer: 728, 20, 2, 0.5174, 0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15856, -2, 5, 1, -22 in descending order.\nAnswer: 5, 1, -1, -2, -22, -15856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 + 0)\/55 + -58.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 689723865*x\/7 - 295595946\/7.\nAnswer: 3*(x - 32843994)*(7*x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 + 643*y**2 - 161*y - 2. Calculate m(-161).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -675*g**2. Let k(o) = 4*o**3 - 6*o**2 - 123*o - 230. Let r be k(-2). Let a(b) = -52*b**2. Give r*a(j) + 3*w(j).\nAnswer: 55*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1582*s**2 - 977*s**2 + 1275*s**2 + 4 + 3096*s**2 + 306*s**2.\nAnswer: 5282*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.208 > -5\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2855786?\nAnswer: 2, 1427893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 449606059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/2 + 59*u\/2 - 426 = 0.\nAnswer: -71, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000412662081 to six decimal places.\nAnswer: 0.000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 29*g + 31. Let r be n(-12). Let a(h) = 2*h + 51. Let k be a(r). Let f = 20 + k. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 5*c**2 - 47*c\/4 - 17.\nAnswer: -(c - 17)*(c - 4)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -37*t - 22. Let u(f) = -27*f**2 + 16*f - 3. Determine w(u(j)).\nAnswer: 999*j**2 - 592*j + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:29 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a + 370. Calculate c(-31).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, 8, 1 in descending order.\nAnswer: 8, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1135 by 5.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1. Let j(b) = -3*b - 1. Let y(k) = -2*c(k) - 2*j(k). Let n(x) be the third derivative of 3*x**5\/20 + 2*x**2. Determine n(y(l)).\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/8*4*-2. Let h = -38.7 - -41.7. Sort j, 4\/5, 1\/4, h in decreasing order.\nAnswer: h, 4\/5, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-20)*2*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g - 10. Suppose -150 = -955*s + 985*s. Let q(j) = -6*j - 11. Calculate s*q(b) + 6*o(b).\nAnswer: -6*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/4 + 3639807*o**4\/4 - 18199013*o**3\/4 + 10919401*o**2\/4 + 9099507*o\/2 - 3639802 = 0. What is o?\nAnswer: -1, 1, 4, 3639802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -7*z**6\/6 + 3*z**5\/4 + z**4\/6 + 5*z**3\/2 + 9*z**2 - z + 389. What is the third derivative of w(g) wrt g?\nAnswer: -840*g + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-648)\/360)\/(3\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 954322?\nAnswer: -954314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000135 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.45 + -0.05. Let r = 8.6 - 9. Let m = -0.6 - r. Sort 3\/4, h, m in ascending order.\nAnswer: m, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -522*r**2\/5 - 220298*r\/5 - 5908\/5.\nAnswer: -2*(r + 422)*(261*r + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:19 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Suppose h*c - 5*c - n + 71707 = 0, -71692 = -2*c + 2*n. Suppose -c = 4*p + 252149. Round p to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -334 - -334.07. Let o = 2.9 + -3. What is the biggest value in o, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 564916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 149*x**2 - 199*x - 8044. Determine g(-150).\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31215 and 53415.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5027 * -141361\nAnswer: 710621747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26950 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -393, -641?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -1 (c) 0.3 (d) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2361836, 2362005, 2362176, 2362349, 2362524, 2362701, 2362880?\n\"Answer: x**2 + 166*x + 2361669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 5*o - 8*o)*(-2*o + 3*o + o)*(-6*o - 3*o + 3*o).\nAnswer: 216*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 43*d + 1004. Let t(x) = -21*x - 502. Let o(m) = 5*t(m) + 2*u(m). Differentiate o(b) wrt b.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0 - 1\/6*v**4 + 7*v + 4*v**2 + 0*v**3. Solve m(n) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/237979 and 67\/815928.\nAnswer: 5711496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198480 is divided by 24808.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3822104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 6*l + 6. Let a be b(-5). Let p be -2*a*141\/6. Let h = -34 - p. Solve 4*x + 3 = -h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 5*p + 941. What are the prime factors of r(0)?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245770671.\nAnswer: 3, 43, 1905199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 2*z - 18, -5*m = 2*z + 45. What are the prime factors of (-1)\/(((-14)\/(-32))\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-eight fifths of a centimeter?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 + 2 = -3*b, -3*l = b + 4. Suppose l*u + 14 = 2*u. Suppose -8*y + 51 = -u*y. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -2\/5, 36, -768\/29?\nAnswer: -768\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.349 - 0.749. Which is the nearest to -1? (a) -3 (b) x (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10122 (base 4) to base 3\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3, 2 in descending order.\nAnswer: 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**(1\/10) assuming f is positive.\nAnswer: f**(-1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k + 140. Let l be j(20). Solve l = 4*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 - 10. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n. Let v be 2\/(-6) - (2 + (-320)\/6). Let i = 50 - v. Calculate d(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + 1. Let l(g) = g + 3. Let v be l(6). Suppose -2*n - m + 3 = v, m = 3*n + 9. Sort n, 0, o in descending order.\nAnswer: 0, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6589580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90088, -94110, -98132, -102154, -106176?\nAnswer: -110198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltqlltztttemqtqzml. What is prob of sequence qell?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*h - 10 = 0, -h + 22*h = 3*f + 60. Which is smaller: f or -2\/1505?\nAnswer: -2\/1505","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42652620.000023 + -42652649. Let c = f + 29. Round c to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7474*x**2 - 4*x - 4. Let r(v) = -17*v**2 + 2*v + 2. What is k(m) + 2*r(m)?\nAnswer: -7508*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/14 and -67\/16225936.\nAnswer: 113581552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*a - 8*a. Calculate the least common multiple of (-2)\/((4\/3)\/a) and (12\/9)\/((-1)\/(-3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(12\/8 + 3). Let h be 9\/i - (-1)\/(-2). Which is smaller: 3\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15602\/7 + -2212. Is 18 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 171*w**3 - 149*w**2 - 7*w - 7. Let a(q) = -86*q**3 + 74*q**2 + 3*q + 3. Let d(h) = -7*a(h) - 3*r(h). Find the third derivative of d(f) wrt f.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-5)\/(-20)*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.32, 1740, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6900.76352 and 214927.\nAnswer: 208026.23648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1789 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-8 + 2 + 0 + 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40009 is divided by 459.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.9, 1, -0.1, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -65.082. What is s rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -66*o + 68*o + 15, 2*o = -10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35365697 - 5796787\nAnswer: -41162484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 1280*v\/3 + 2536.\nAnswer: 2*(v + 6)*(v + 634)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 3*b**2 + 12*b - 12. Let n be y(5). What is the third smallest value in -4\/3, 2\/11, n, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 783163?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a. Differentiate 4 + a - 3*m**4 - 2 with respect to m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000311 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 72399039.3ms?\nAnswer: 0.11970740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(432) + sqrt(432) + -2 + 4 + 3 + -2)**2.\nAnswer: 192*sqrt(3) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.53 + -0.5183. Round u to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**4 - u**4 - u**4 + 2 - 2 - 2*u**4 + (-u**3 - u**3 + 4*u**3)*(3*u + 8*u - 15*u) to the form t + n*u**4 + p*u + a*u**3 + s*u**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853134492.\nAnswer: 2, 3, 7, 23, 199, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*n + 4, 5*n + 0*n - 2*o = -8. Let x be 434\/931 + (-16)\/28. Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 317*g**3*z - g**2*z**3 + 45*g*z**2 - g - z**3 - 7 wrt g.\nAnswer: 1902*g*z - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 1, -1.32, -0.1.\nAnswer: -1.32, -0.1, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (131501\/(-6) + (-42)\/252) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 679572 and 114140.\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -2 (c) -0.3124 (d) 0.02 (e) -0.03 (f) 2 (g) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 27 + 24 = z, 3*z - 5*a = 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5239.31*-13.\nAnswer: -68111.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 0 - (42 - 54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -558*v. Let u(o) = -108527*o. Calculate u(z(k)).\nAnswer: 60558066*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1134770\/4060*10\/(-325)?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w - 25 = -225. Let t(q) = -2*q**3 - 5*q**2 + 3*q + 1. What is t(w)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108173447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -5 - 2) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 56.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928350?\nAnswer: 2, 3, 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4860 and -35\/972?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 33. Is 2 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19050 times 3935\nAnswer: -74961750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 4*u**2 + 4*u - 38. What is r(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 7. Determine d(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t = 0. Suppose -2*m + 8 = 0, -4*x + t*m + 4*m = -372. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*x - 24 = 128*x + 3*l, -5*x - 8 = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -531525 divided by 106305\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 + 60*c**3 + 3040*c**2 + 22800*c + 34000 = 0.\nAnswer: -10, -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1070 greater than -1068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -160625, -642629, -1446011, -2570771, -4016909, -5784425, -7873319?\n\"Answer: -160689*p**2 + 63*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.51 (b) -2\/13 (c) -4 (d) 0 (e) 4 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2. Let s(u) = -2*u**2 - 392*u - 532. Determine s(l(r)).\nAnswer: -32*r**4 - 1568*r**2 - 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006107597267 to seven dps.\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**3 - 15*r**2 - 3*r - 16. Let w(h) = -h**3 - h**2 - 1. Let f(n) = v(n) - 2*w(n). What are the prime factors of f(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -1, -24.\nAnswer: -24, -16, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4 = 2*k, -5*o + 78 + 19 = 23*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*d + 419 - 30 = 0, -4*q + 301 = d. Suppose g + 142 = -g. Let i = q + g. Solve 16 = -i*m - 3*l, 2*l + 9 + 0 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -36745304589866.\nAnswer: -36745304589866.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5)*90\/(-234). What is the second smallest value in -0.5, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 11. What is a(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(14)\/sqrt(2) + -5 + 3.\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82461458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0903831 days in microseconds?\nAnswer: 7809099840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 74606*m + 298456.\nAnswer: -2*(m - 4)*(m + 37307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -0.0026, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-615)\/60 + (0 - -11)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23143.99994014 - 23144. Round s to six dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfpfffpppfpn. What is prob of picking 1 f and 2 p?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 9*n + 26. Let d be x(-5). Suppose 0 = -0*s - d*s + 582. Let k(f) = 19*f**3 + 1. What is the remainder when s is divided by k(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/((-9)\/(-146)) + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*k - 2051 - 14929 + 39642 = -28059 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2249, 2250, 2251?\n\"Answer: n + 2248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*((-9)\/(-2))\/(-3). Let w = 11 - u. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grrr when four letters picked without replacement from {d: 1, x: 3, g: 1, r: 5, o: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126556 + -600949\/5. Let f = x - 6314. Let n = f - 52. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = 16*y - 600. Solve 0 = 4*a - 8*a - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pepp when four letters picked without replacement from epeppheehpehe?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2 = q, -3*q + 1070*d - 1071*d - 8 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 705 and 180?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 5*k. Let x be (k\/4 - 0)\/(-3). Solve t + 4*m = -14, -3*t + m = -x*m + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73d (base 14) to base 13\nAnswer: 85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -451298 bigger than -451886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8657 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -570535830 to the nearest one million.\nAnswer: -571000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -23*x**3 + 1299*x**2 + 954*x - 392. Let n(o) = 90*o**3 - 5195*o**2 - 3815*o + 1570. Let g(z) = -25*l(z) - 6*n(z). Factor g(u).\nAnswer: 5*(u - 38)*(u + 1)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-1)\/10). Let u(d) be the second derivative of d**3\/2 - 254*d. Let z(b) be the third derivative of b**4\/12 + b**2. Determine r*u(m) - 7*z(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 151 + 151 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 13*z - 44 = 0. Which is the third smallest value? (a) -2\/213 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -1) + 6 + -2 - -5 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 50. Which is the third smallest value? (a) 0.2 (b) -0.1 (c) s (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m. Let n(h) = -h. Calculate a(n(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 - 0.2. Let h = -1.93 + d. Let f = 3777\/5 - 756. Which is the nearest to h? (a) -1\/7 (b) 2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/10)*x**(4\/9))\/(((x**(-4\/7)\/x)\/x)\/(x*x**(1\/2)\/x*x*x)) assuming x is positive.\nAnswer: x**(1769\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.06 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-3)\/(((-54)\/2536)\/9). Let h = y - 480. List the prime factors of h.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + -3)\/(3\/(-99)) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 5. Suppose -1616*d - 390*d + 40335 + 19845 = 0. What is the remainder when -18*(9\/z)\/1 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11021 (base 3) to base 9.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = -3*s + 26. Let d be (2\/5)\/(116\/s + 2). Let m be (1 - -2) + d + 2. What is the highest common factor of 99 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 3:59 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3689, -7381, -11073, -14765, -18457?\n\"Answer: -3692*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6973 - -718217\/103. What is the nearest to -2 in 2, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78495038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 59, 147, 271, 431, 627?\n\"Answer: 18*v**2 - 2*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*16\/(-20)*(-10)\/(-24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1119)\/18 - (-95)\/(-114). What is the tens digit of (-28544)\/(-18) - ((-140)\/y)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*p**3 + 95\/2*p**2 + 160*p + 110.\nAnswer: -5*(p - 22)*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 + 3. Let u(x) be the first derivative of -x**4\/4 - 5*x**3\/3 - 5*x - 4. Let f be u(-5). Let h = -11 - f. Give q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8617.38045 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - (sqrt(6)*-1 + sqrt(6)))*-6)\/(sqrt(3) - sqrt(6)\/(sqrt(2)*-2)) + (sqrt(50)*3)**2 + sqrt(6)\/sqrt(108).\nAnswer: -23*sqrt(2)\/6 + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - 8*a. Let n(m) = 8*m**2 - 23*m - 1. Calculate -6*n(i) + 17*s(i).\nAnswer: 3*i**2 + 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585676 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.1976.\nAnswer: -0.0988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbgb when four letters picked without replacement from {g: 3, b: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to 478732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364*-3.\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 582 and 10282?\nAnswer: 30846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 3*u**2 + 3*u. Let y(i) = 17*i + 24. Let m be y(3). Suppose 10*k - m = 25. Suppose 6*f = -k + 22. Calculate x(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82210 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -549, 2, 74 in descending order.\nAnswer: 74, 3, 2, 1, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/822 and -1\/7985045?\nAnswer: 47910270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2994485*f. Let h(p) = 2*p**2. Calculate l(h(a)).\nAnswer: 5988970*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*3\/(-9))\/1. Let k = -11 + 7. What is the second biggest value in u, 2, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-5)\/3)*-3. Let y be -1 + 6\/(-9) + 9\/54. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 - 10 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27 and 19816.\nAnswer: 19843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 821, 853, 905, 983, 1093, 1241, 1433?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31ae6d + 2c?\nAnswer: -31ae41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, e: 3}. What is prob of picking 2 e and 2 q?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(2\/(2 + 0)). Suppose 3*o - 14 = l*p, 4*o = -4*p + 2*o - 24. Let c(x) = -x**2 - 9*x - 4. What is the tens digit of c(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a + 4*j, -3*a - 2*j + 2 + 4 = 0. Let v(b) = -3*b**2 + a - 2. Let k(y) be the second derivative of -y**4\/3 - 130*y - 39. Determine v(k(u)).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 3*j - 6. What is c(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33175 and 238274793.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -45*(-3)\/(-70) + 2\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -4, 17, 58, 125?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w. Let r = 57 + -36. Suppose -19 = -4*k + r. Let z(d) = -3*d + k*d - 5*d. Give v(z(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfejkpfpef. What is prob of picking 2 f, 1 j, and 1 p?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*r - 14. Let f be (-4)\/(-6) + 460\/r. Suppose 10*q - 1472 = -1212. Calculate the greatest common factor of q and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -2, -1\/4, -1.1, -4 in ascending order.\nAnswer: -4, -2, -1.1, -1, -1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00355333105 to four dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1175 + -2685. Is u at least -1507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -67*q**2\/2 - 41. Let b(z) = -z**2. Give r(b(n)).\nAnswer: 67*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 12. Let w(h) = 1. Let y(z) = u(z) - 12*w(z). Let c(r) = -3*r. What is c(y(o))?\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 20*r + 5. Calculate p(7).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4190, 5157, 6124, 7091, 8058?\nAnswer: 9025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 5*x - 26. Calculate the remainder when (-3)\/2*-3*(-34)\/(-3) is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4252 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 - 58*l**3 + 12*l**2 - 5614*l + 1.\nAnswer: -24*l**2 - 348*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3)*(-2*g - 31*g**2 - 9 - 37345*g**3 + 37344*g**3 + 0) in the form m*g**3 + f*g**2 + r + h*g and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Suppose 5*d + 51 = -v*c + 6*c, -c = -3*d - 11. What is the remainder when c is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 1. Suppose 2*a = -a + 6. Suppose -x + 0*x = -a. Let b(z) = -5*z**3 - 2 - z**x + 3*z**3 - 2*z**2. What is -b(h) + 3*r(h)?\nAnswer: 2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 6076?\nAnswer: 6080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*l + 128*f - 127*f = -89*l + 114, 3*l + 2*f = -71 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22680 - -21282.1. Round n to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) 0.4 (c) -26340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/(1 - 12\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16613307 - -40923307. What is g rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.69 - -30.69. Which is the closest to -0.1? (a) h (b) -6 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 8*o. Let t(h) = -5*h**2 + 27*h + 2. Let q(s) = -3*b(s) + t(s). What is q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -13*o**3 - 5*o**3 - 4*o**3 + o + 10*o**3 in the form g + s*o**2 + a*o + r*o**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-4)\/b)\/b)\/b)\/b*b)**(-19)*b**12*b**(2\/3)\/b assuming b is positive.\nAnswer: b**(434\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 805\/2152 + 1\/1076. What is the third smallest value in m, 59, 3?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2849*n = -1468*n - 58920 - 51530 - 36328 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 3*d + 7*j + 45, -272*j = -4*d - 277*j + 170 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 39*r**2 - 1 - 105*r**2 + r**3 + 31*r**2 + 33*r**2 as w*r**3 + z*r**2 + p + s*r and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2944 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15075305 is divided by 15075242.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 0*w + 1 - 2\/3*w**3 - w**2. Factor v(s).\nAnswer: -2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 10:59 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 379038 = -2*j - 367772, -5*j = 4*t + 2987225. Round t to the nearest ten thousand.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 7*c**2 + 5*c - 7. Let y be u(-6). Let a(b) = -b. Let h(q) = 2*q**2 + 4*q - 2. Let m(l) = y*h(l) - 4*a(l). Factor m(z).\nAnswer: -2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2209*s**2 - 10985*s + 30. Determine n(-5).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/3*h**2 + 0 + 4*h + 1\/3*h**3 = 0. What is h?\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + s = -9, -40 = -5*s - 65 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:12 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, v: 1, e: 5, z: 6, d: 1, k: 3}. What is prob of picking 1 v, 1 d, and 1 z?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w**4\/13 - 292*w**3\/13 - 194*w**2 - 416*w = 0 for w.\nAnswer: -13, -16\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -m. Let i be m\/6 + 8\/24. Solve -a - i = -4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)\/b**(-2\/3)*b**(2\/17)*(b*(b\/((b\/b**(2\/5))\/b))\/b)\/b*b assuming b is positive.\nAnswer: b**(859\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {l: 7, p: 3, u: 1, y: 4, e: 4}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 327*z - 330*z. Let h = 8 - 7. Sort -2, h, z, 5 in descending order.\nAnswer: 5, h, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 747 = 68*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 4*n - n)*(-35*n - 309*n**2 + 34*n + 67*n**2) in the form h*n**2 + w + x*n + i*n**3 and give i.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -14*a**2 - 35*a + 57. Let q be u(3). What is q rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 14 = 4*d, -3*d + 2*v + 4 = -10. Suppose -d*x + x = 0. Let f = 14 - 14. Solve x = 3*g - 0*g - 4*q + 24, f = -3*g - 5*q + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 15. Let j be ((-2)\/6)\/((-1)\/l). Find the second derivative of 5*p**2 - 2*p**4 + p - j*p**2 wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 339372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u = -60 - 30 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let n = 244 + -237. Suppose 0 = 4*s - 4*m - 28, 11*s - 7*s + 3*m + n = 0. Let t(x) = 2*x**3 - 3*x**2 - 2. Determine s*q(z) - t(z).\nAnswer: -2*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x**3 - 2*x**2 + 1. Let u be y(1). Suppose 7*m - 4*m = u. Find the common denominator of 370\/m*3\/25 and 1\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpkcklklkk. Give prob of picking 1 l, 1 p, and 1 c.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -15*c. Let p(q) be the first derivative of 3*q**2\/2 - 113. What is p(s(g))?\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(84\/(-392)))\/(3\/9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(76) + 2 + sqrt(76)) + -2 + 2*sqrt(76).\nAnswer: 4 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 241889814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t = -24*t - 24. Let x(v) = -2*v**3 - v. Let p be x(1). Let f be -1 - (1 - (-21)\/p). Solve -t + 7 = f*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-168)\/5712).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 9*y**2 + 8*y + 7. Suppose 68 = 2*r - 5*n, -136 = -5*r + 6*n - 2*n. Let w be 3*4\/r*16. Let l be 29\/4 + 6\/w. Calculate u(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*v + 22, w - 6*w - 2*v + 23 = 0. Suppose -l + 0 = 5*s - 3, w*l - 75 = -5*s. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 25 = -14*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26789*s + 10203*s + 13 + 93 + 43 + 13428*s with respect to s.\nAnswer: -3158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -0.1 (b) 12\/5 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.117 (b) -0.07 (c) 4 (d) 290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -24, 0 in increasing order.\nAnswer: -24, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 87760 and -0.17514.\nAnswer: 87759.82486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3939)\/808)\/(9\/12). Let g = 1.2 - 1. Let d = -2.1 + 2. Which is the nearest to d? (a) -0.1 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-4) - 6 - (-13 + -1310).\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 71.9 and -1250014?\nAnswer: 1250085.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - b**2)*(-3*b + 0*b + b) + (85*b + 83*b - 131*b)*(-19*b**2 + 46*b**2 + 27*b**2) to the form m*b + g + r*b**3 + w*b**2 and give r.\nAnswer: 2000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/6 - 2*o. Let l(g) = 42*g**2 - 85*g**2 + 31*g**2. Determine f(l(s)).\nAnswer: -288*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -144832.1173 to the nearest one thousand.\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, 2, -6.9, 0, -54\/11 in ascending order.\nAnswer: -6.9, -5, -54\/11, -0.3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38868\/108)\/((-38428)\/350). Let f = c + 2\/28821. Calculate the common denominator of f and -7\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 16*t + 2. Determine f(11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9869*m**5 + 184*m**2 - 3*m + 2 wrt m.\nAnswer: 592140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)\/sqrt(80) + 4 + (sqrt(133)*-2*1)\/sqrt(7)*4 + -1)**2.\nAnswer: -93*sqrt(19)\/2 + 18403\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -60, 40, 188, 390, 652, 980?\nAnswer: 1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 7:43 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 993521 and 381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239.6 - -240. Which is the nearest to -0.67? (a) -2 (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62.79 - -12.23\nAnswer: -50.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**3\/6 - y**2 + y. Suppose 0 = 7*o - 3*o - 12. Suppose o = -8*h - 5. Determine l(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 + 6*m - 5. Suppose -4*t = -11*t + 14. Suppose -4*v = 4*x, -8 = 3*v + t*x + 3*x. Let w(f) = -3*f**3 + 5*f - 4. Calculate v*p(d) - 5*w(d).\nAnswer: -d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -298 + 269. Let n = -289610415 + 289610443.99999824. Let s = n + m. Round s to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 616*b + 10. Let f(i) = 123*i + 2. Give -2*c(r) + 11*f(r).\nAnswer: 121*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, g: 2, x: 3}. Give prob of picking 3 x and 1 a.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/102)\/(8\/288*12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.69 - -0.31. What is the third smallest value in 0, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*i - 131 = -h, 0 = -2*i + h + 221 - 228 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 199 and 2.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 3*b**2 - 7*b - 6. Let f be h(-6). Let a be (f\/40)\/((-6)\/(-20)). Solve -7*w = -3*w - a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**2 - 1\/24*m**4 + m**3 + 0*m + 0. What is s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.112 + -3.888. Sort -1\/4, r, 2\/9, -0.5 in descending order.\nAnswer: 2\/9, -1\/4, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n. Let m(a) be the first derivative of -17*a**3\/3 + 4. Calculate f(m(c)).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(80))**2 + 5 + sqrt(80).\nAnswer: 4*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**3\/3 + h. Let s(u) = 404*u - 1. Let m(c) = -877*c + 2. Let g(y) = -6*m(y) - 13*s(y). Give j(g(a)).\nAnswer: 20*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 1504*s**3 + 1481*s**3 - 2 + 347*s**4 - 2*s - 2986*s**3 as x*s**3 + w*s + b*s**2 + r + q*s**4 and give q.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.162621 take away 5?\nAnswer: -57.162621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n + 22. Let t be p(6). Let d be t\/(2 - 4) + 2. What are the prime factors of 3 + (-4)\/d*-69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6861948 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17520 - -43132. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/5 + 1263*l**2\/5 - 762214*l\/5.\nAnswer: l*(l - 446)*(l + 1709)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 5*a + 2, -3*w + 3*a = -528. Calculate the greatest common divisor of w and 1225.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.81 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = -0*g. Let k(u) = 2*u - 5*u + 2*u**2 - 3*u**2 + 8*u. Let q be k(g). Solve 0 = -2*z + 16 - q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110032302332 (base 4) to base 10.\nAnswer: -5303486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**2 + 689*m**3 + m + 0*m - 690*m**3 to the form t*m**3 + g*m + u + v*m**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15691*n**2*p**2 + 4*n**2*p*r**3 - 137*n*p**2*r**3 + 41*n*p*r**3 - 2*n*p + 518*r**3 wrt p.\nAnswer: -31382*n**2 - 274*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3 + 209*v**3 + 226*v**3 - 421*v**3 + 12*v - 4. Let z be l(3). Round z to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 166*c - 24142 - 8394. What is the smallest common multiple of 658 and c?\nAnswer: 9212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401056 is divided by 56.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*j + 2*h + 38 = 0, -307*j + 310*j - h = -9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*i + 3*i**3 + 14*i + 0*i**2 + 2*i**2 - 4*i**3 in the form v*i + h*i**2 + b*i**3 + p and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12182 + -173ba?\nAnswer: -5238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = 2*t, -5*t + 3 = 3*q - 8. Let k(d) = d**2 - d - 5. Let w be k(t). What is the third biggest value in 3, w, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/2*((-560)\/(-63))\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 + 25230*s**2 - 53096499*s + 211982508 = 0. Calculate s.\nAnswer: 4, 4203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - u + 2*u + 10, 5*u = -25. Let y = 27488\/59 - 466. Which is greater: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46, 22, -2, -26, -50, -74?\n\"Answer: -24*o + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(40\/36)*(-120)\/270.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2938\/9 - -326. Put 1, 7, a in descending order.\nAnswer: 7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)\/(y*y**(-3\/2)*y))\/(y*y**(-2\/13)\/y*y**(3\/2)\/y) assuming y is positive.\nAnswer: y**(-51\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h, -h - 182 = 2*q - 43. Let r = q - -281\/4. Let r*z**3 + 3\/4*z**2 + 0*z - 1 = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -2417?\nAnswer: -2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -50\/3, -11, 0 in increasing order.\nAnswer: -50\/3, -11, 0, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.525825 times -624\nAnswer: -328.1148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -10*a - 4. Which is smaller: a or -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108255 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-14)\/(b*b**(2\/17)\/b))\/(b**(-2\/5)*b)**(-45) assuming b is positive.\nAnswer: b**(219\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 6*i - i)*(0*i - 3*i + i)*(-i + 0*i + 3*i).\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1817 is divided by 505?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 - 264*v**4 - 1464*v**3 + 1146*v**2 + 13419*v + 11070 = 0.\nAnswer: -82, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -3*u**5\/25 - 21*u**4\/20 + 552*u**3\/5 - 1632*u**2 + 47616*u\/5 - 256. Let k(o) = 0. Calculate o.\nAnswer: -31, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -392037\/52?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10)*10\/(-1))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 2*s**2 - 4*s + 2. Let x be v(3). Let c = 1377 - 1374. Sort x, 1, c in increasing order.\nAnswer: x, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(117)\/((sqrt(18)\/sqrt(2) - sqrt(9)) + sqrt(9)) + -1 - 1*(5 + -1 + sqrt(13) + sqrt(13))))**2.\nAnswer: 160*sqrt(13) + 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -23*z**2. Let s(l) = 2 + 4 + 5 - 20 + 6 - 9*l**2. What is k(s(n))?\nAnswer: -1863*n**4 - 1242*n**2 - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(16 + 6\/(-3)). Let r = 41 + a. Is (r + -1)*1*1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 - 25*i - 26. Calculate m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b + 144 = 4*x, 0 = 3*x + 4*b - 95. Suppose -31 = 3*z - x. Is 10 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 4*o + r + 42, 3*o + 4*r + 92 = 0. Is o not equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 588887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 289, 577, 865, 1153, 1441?\n\"Answer: 288*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + s - 1. Suppose 3*n - 3*u = 18, 0 = -3*n - 4*u + 2*u - 2. Calculate b(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -7951?\nAnswer: 2\/7951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.051707 and 3?\nAnswer: 3.051707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-51)\/24 + 2 - (-1470)\/240).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + 4*j**2 - j**5 + (-2*j**4 + 0*j**4 + 5*j**4)*(0*j - 3*j + 2*j) + (-6 + 2 + 5)*(-2*j**4 + 2*j**5 + 2*j**4) - 342 + 8*j**5 + 5*j**5 + 343.\nAnswer: 11*j**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5031 is divided by 998?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/(-132)*(-2)\/((-8)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/1005317 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22953 - 23240. Is -279 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2536 and 95\/24.\nAnswer: 7608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a4 - -b?\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97948\/(-521)*4\/42 + 18 + (-1178)\/21?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145168 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + 17. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2489\/7 + -355. Is 2 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 81*k**2 + 4*k. Let m(r) = 4697*r**2 + 231*r. Determine -231*f(g) + 4*m(g).\nAnswer: 77*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13\/x**(-2\/7))\/(x**3)**(-3\/2) assuming x is positive.\nAnswer: x**(249\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1668108 divided by -1887\nAnswer: -884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 14.53?\nAnswer: -14.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5139 times -2?\nAnswer: 10278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 + -1110000101110000001001?\nAnswer: -1110000101101111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 13910*n + 111600.\nAnswer: -5*(n - 8)*(n + 2790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 49*x**2 + 133*x + 32. Determine d(27).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + 83*u + 29 + 26 to the form f + q*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.519350361212 and -69.\nAnswer: -63.480649638788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-140)*(4\/(-12))\/((-85)\/(-53040)).\nAnswer: 104\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2188 divided by -35.\nAnswer: 2188\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/3 - 5*o**2 - 5*o + 25. Let d be a(11). Suppose -438 = -d*w + 504. List the prime factors of w.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 5:31 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*f - 5, 0 = -5*m + 2*f. Suppose 2*v + 12 = -4*h, -4 = v + 3*v - m*h. Let r = v + 32. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*-12*-1. Suppose n = -8*l - 6. Let v(b) = -b - 4. What is v(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 4:26 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, -8, 1 in increasing order.\nAnswer: -8, -1, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/504 and 101\/525.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(1 - (-31)\/(-30)). Let y = -1\/135 - 131\/540. What is the nearest to -0.1 in y, 2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3052*-1\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/22*352\/(-576))\/(13\/6).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3)*(-1 - -4). Suppose -1914 + 154 = -p*r. What is r rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*i + 14*i - 21*i**3 - 33*i - 4 + 10*i**3 in the form p*i + w*i**3 + k*i**2 + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/5 + 481576*m**3\/5 - 963158*m**2\/5 + 96316*m.\nAnswer: 2*m*(m - 1)**2*(m + 240790)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(2\/7)*g*g)**(-32))**(-2\/11))**(1\/22))**(-38) assuming g is positive.\nAnswer: g**(-27968\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a\/((a**(1\/4)*a)\/a)*a*a)))**50*(a**(-32)*a)\/a**31)**50 assuming a is positive.\nAnswer: a**6275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, n: 1}. What is prob of sequence kn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(44)\/sqrt(4) - (((sqrt(275))**2 - sqrt(11)) + sqrt(11) + 1).\nAnswer: -281 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -260, -515, -1210, -2567, -4808, -8155?\n\"Answer: -37*c**3 + 2*c**2 - 2*c - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 451 - 447. Let b be a\/10 - (-178)\/5. What is the highest common factor of 324 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3321894909?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 213992, 2, 0, -2 in descending order.\nAnswer: 213992, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13597 - 13501. What is the remainder when 549 is divided by a?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(6)*-2 - sqrt(294)*2)\/(sqrt(108) - ((sqrt(108) - (-2*sqrt(108) - sqrt(108))*-2) + sqrt(108))).\nAnswer: -11*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1000895093 to the nearest integer?\nAnswer: 31637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6053 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*r - 935. Calculate the greatest common factor of r and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*v - n - 192, -n = -2*v - 121. Let t = -12 - v. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1152585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**3 - 9*d**2 + 5*d - 6. Let v(r) = r**3 + r**2 + 2. Let u(s) = -o(s) - 6*v(s). What is u(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 times -7743787\nAnswer: -332982841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(4\/6*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 3 = -4*z - d, d = -4*z + 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 253 = -27. Let c(d) = -k - d**2 + 56. Let w(g) = -5*g**2. What is w(c(l))?\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33129421 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: (45 + 41 + (-43 - 42))*-20\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 250?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 8:48 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (-5 + 3*(1 + sqrt(320)) + -3 + -2)**2.\nAnswer: -336*sqrt(5) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (9 - 8 - (-2 - 1) - 12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -20, 5*b + 2*x + 3 + 4 = 0. Is -4 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 8*r**2 - 2*r**2 - 7*r**2 + 6*r + 10*r**2 - r**2 wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*m*n**2 + 31*c*n**2 + 6419*c*n + 9189*m*n**2 - 5*n**2 wrt c.\nAnswer: 2*m*n**2 + 31*n**2 + 6419*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/20*-4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + 7 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-15 - -8) - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 24912.87 to the nearest one hundred.\nAnswer: 24900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1))**(-49))**28*(v*v**(-1)*v*(v**2\/v)\/v)**(-3\/8) assuming v is positive.\nAnswer: v**(-21955\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -625976 (base 10) to base 6\nAnswer: -21230012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j**4 - 25*j**3 + 18*j**2 - 6*j - 7. Let r(y) = 7*y**4 - 13*y**3 + 9*y**2 - 3*y - 4. Let t(x) = 7*r(x) - 4*z(x). Let t(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*l = 4631488 + 6001861. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/519 and 44\/7?\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 887700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1321*x**2 - 347 wrt x.\nAnswer: -2642*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-2)*-1*1. Let d = a + 8. Let r = -0.0495 - -3.0495. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272146.\nAnswer: 2, 636073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**5 + 94577*j**4 + 4*j + 36309 wrt j?\nAnswer: 20*j**3 + 1134924*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -521379 + 40469821.\nAnswer: 39948442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most as big as 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 730 divide 9942600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5 - 119*m**4 + 8309*m**2 wrt m.\nAnswer: -60*m**2 - 2856*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foo when three letters picked without replacement from offooooooooffofo?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 395*p**4 + 2*p**3*s - 9*s + 891 wrt p.\nAnswer: 1580*p**3 + 6*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddpddpdpdddddd. Give prob of sequence dpdd.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 11 + -34 + (3 + -1 - (77 - -57))?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l - 16 = -2*k, 0 = -3*l + 3*k - 6. Suppose -l*z + q = -5, z - 2*q - 13 = 2*q. Which is smaller: -5 or z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p + 2. Suppose 2*b + 127 - p = g, -2*b - 6 = 0. Is 31 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 - -2) - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 times 32?\nAnswer: 182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*t**3 + 555*t**3 - 14 - 145 - 289*t**3.\nAnswer: -2*t**3 - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -10031?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -407, 3 in increasing order.\nAnswer: -407, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwekweooekeoe. What is prob of picking 2 e?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 552.76 + 13.24. Let i = -568 + w. Which is the second smallest value? (a) 5 (b) -4 (c) i (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262004.5 grams to tonnes.\nAnswer: 0.2620045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1 - (-2 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y + 1. Calculate the remainder when c(-3) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761 is divided by 382?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**3 - j**2 + 2*j + 2. What is w(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (6 - 2) + 1 - 5) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 2, d: 1, y: 11, u: 3}. Give prob of sequence ug.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.064*25525\nAnswer: 1633.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -643*x + 33 + 1296*x - 643*x.\nAnswer: 10*x + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 14*t = -18. Let r = t - -10. Let j = -305 - -3358\/11. Sort j, 0, r in ascending order.\nAnswer: 0, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1564\/(-253) + (-4)\/(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (91\/22834)\/(9803\/551897457889). Let n = j + -52276073\/233. Let s = n - -2\/9803. Calculate the common denominator of s and -81\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 296416188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 666 and 4288374.\nAnswer: 4288374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/4, 8, 20.8, -55 in decreasing order.\nAnswer: 20.8, 8, 11\/4, -55","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*u - 26708 = -32037 + 1632448. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 264, -0.03, -4438, 0.2, -0.2, 0.1?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -0*y - 2*y + h, -4*y + 2 = 2*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*j + 18, 7 - 2 = -j. Let n = l - 18. Let r = -6 - 2. Which is greater: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0*s + 1\/8*s**4 + 3*s**2 + 0 + 0*s**3. Let q(r) = 2*r**2. What is q(i(p))?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 - r - 2. Let p be q(-2). Let o = 11 - p. Suppose 3*w = o*w - 96. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -893 or -892?\nAnswer: -892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -471161 - 2?\nAnswer: -471163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 12*n**2 + 3*n - 3. What is c(-12)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:22 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10208 - 10075. Calculate the remainder when 208 is divided by x.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3770292845.\nAnswer: 5, 11, 83, 75083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 5*v + 10. Let y be f(-6). Suppose 3*d + 2*h + 36 = 0, 0*d - y*d - 59 = -h. Let q = 16 + d. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93.65 + 59.35. Sort -5, 0.5, n.\nAnswer: -5, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 322*z - 625. Let n be c(2). Let r be -1*(0 + 0\/3). Solve 3*i + r*b = -4*b - n, -5*b = 2*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 44. Let n be a(24). Let w = -3 + -1. Let f = n + w. Solve f = 2*i + 2*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**2 - 7*u + 5. Let z(c) = -9*c**2 - 8*c + 4. Give 7*a(j) - 6*z(j).\nAnswer: -2*j**2 - j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-282)\/((-2)\/2))\/((-68)\/(-2754))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.4 + -53. Suppose -2*h + 4*z - 6 = 0, 5*h = 4*h - z + 9. Which is the biggest value? (a) h (b) -2\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727?\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*m - 18*m - 22776. Suppose 0 = -3*h + m + 1659. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**3\/3 - a**2 - 15*a. Determine n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(-6))*v*v**(2\/7)*v*v*(v\/v**(4\/5))\/(v**(-5)*v))\/(v**(-9)\/v**0*(v*v**(-1))\/v*v**(-2)\/v) assuming v is positive.\nAnswer: v**(472\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, 62, 1, 4, 6 in descending order.\nAnswer: 62, 17, 6, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 3*m**2 + 2*m - 7. Let r be o(-4). Suppose -j = -b - r, j - 2*b = 2*j - 1. Let x = 16 - 15. Calculate the remainder when j is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 43. Calculate the remainder when (-274)\/(-10) + 2\/(-5) is divided by (-30)\/(-18)*s - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 155\/30 + 17\/6. Suppose -k*l + 6 = 3*l. Suppose -3*z + 54 = 36. What is the greatest common factor of z and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -20, 5*c - 5 = 2*l - 20. Let y = c + 2. Does -3 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 8 = 2*s, 659*m - 662*m - 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 358178923 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 232. Let y be d(-10). What is the highest common divisor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 1 = 6*m - 5*w - 10 - 5, -4*w - 27 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5570 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-1 + 3*j + 1) + (-1 - 1 + 0)*(j + 3*j + 0*j).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) 0.2019 (c) -1\/16 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17577 and 35154.\nAnswer: 35154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 19, h: 1}. What is prob of picking 1 d and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {j: 2, q: 2, x: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -74, -3, -2\/11 in descending order.\nAnswer: -2\/11, -1\/3, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*o - o. What is the units digit of 1\/o + (-93)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 14. Let s be a\/16 + (-15)\/24. Are -1\/13 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l + 41. Let r be v(-7). Let b be (-1 + r)*1*(-20)\/2. Suppose 4427 = b*p - p. List the prime factors of p.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.80812 to two decimal places.\nAnswer: -16.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 2, t: 5, o: 1, v: 3}. What is prob of picking 1 t, 1 p, and 1 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4286000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokjjvvcocokkcojoo. What is prob of sequence kjk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74139777 to the power of 1\/2, to the nearest integer?\nAnswer: 8610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 1. Let g = 90 - 133. Let i = 63 + g. Suppose 0 = 7*n + 3*n - i. Let c(s) = -s**3 - 2*s**2 + s + 1. What is n*b(x) + 2*c(x)?\nAnswer: -2*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:12 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to 27251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 34*p**3 - 9*p - p - 27*p**3 + 11 + 8*p**2. Let k = -16 - -8. Let u(q) = 11*q**3 + 12*q**2 - 15*q + 17. Let i(c) = k*y(c) + 5*u(c). What is i(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 3*f**4 - 6*f**4 + 3*f**5 + (-4*f**4 - 3*f**4 + 5*f**4)*(0*f - 6*f + 4*f).\nAnswer: 7*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*k = -30460, -3*k = 5*n - 2*k - 76159. Suppose -2*z - n = -0*m + 5*m, 0 = 5*m - 20. Is (-6)\/(-15) - z\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/140 and -39\/35168.\nAnswer: 175840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88, -205, -350, -523, -724?\n\"Answer: -14*r**2 - 75*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11383000 and 3000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.1, -14, 2\/49, -8, -70?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28070 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/92)\/(21\/4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5415 and 2337.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1217, -4, 2\/3, 3, 2\/9?\nAnswer: 1217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3, 9*g + 279 = 4*o + 4*g. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -2\/2331, 1044 in decreasing order.\nAnswer: 1044, 4, 3, -2\/2331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:44 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0 + 13\/6*k**3 - 27*k - 2*k**2. What is the derivative of g(x) wrt x?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 32, 4, -3\/2 in descending order.\nAnswer: 32, 4, -3\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 33*h + 88. Find the third derivative of 119 + 191*x**h + 47*x**2 - 241 + 122 wrt x.\nAnswer: 4584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 8. Let n be q(10). Suppose -4*p + 30 - 1 = h, -2*h + n*p = -8. Let i = h - 28\/3. What is the closest to -1\/4 in -2\/5, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420128.1 centimeters in kilometers?\nAnswer: 4.201281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 526816 by 2.\nAnswer: 263408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 843 + -2393\/3. Is 45 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208.152 + -158488.\nAnswer: -158696.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*w - 3, -3*h - h = 5*w + 8. Let m be 3\/((-12)\/(-2) - h). What is m rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8853, 9556, 10259, 10962?\n\"Answer: 703*x + 8150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30 and (7 - 69)*28\/27944?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2*b - 4. Let z be p(-4). Does 18 divide (2 - -10)\/z - -51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((sqrt(3) + -5*(3 + sqrt(3) + sqrt(3)))**2 + sqrt(3))) + 1*sqrt(21)\/sqrt(7).\nAnswer: -468 - 269*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8232 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(1 + -2) - 4. Let k(s) = s + 7. List the prime factors of k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from mnhmhmhmunuhuhhhhh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 - 765*g**2 - 193*g - 234. What is m(-191)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 25 + (-2 - -8) + -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 523*z + 2. Let i(s) = -11*s. Determine i(b(h)).\nAnswer: -5753*h - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*d**2 + 137425*d - 1315064 wrt d?\nAnswer: -32*d + 137425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57\/2 - 7919\/278. Let m = -97 + 97. Which is smaller: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 586*a**2 - 33*a - 25*a - 25*a + 107*a - 27*a + 2 to the form l*a + j*a**2 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 5*p - 114. Suppose -p*h + 12 = 0, 5*h - 117 = -3*u - 43. Solve -7*c - 17 = u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(((s*s\/(((s**(-2)*s)\/s)\/s))\/s)\/s)\/s*s*s)**(2\/7))**(-1\/11)\/(s**(2\/21)\/(s\/(s*s**(-1\/10)*s)))**(-5\/3) assuming s is positive.\nAnswer: s**(2119\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10091 = -4*c, -422 - 3654 = -2*j - 5*c. Calculate the remainder when j is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*4*(-3)\/(-72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m - 83. Let g be b(15). Suppose -5*d + 49 = -3*z + g*z, 14 = -z + 4*d. Calculate the remainder when 8 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 4*j - 3. Let q be x(6). Suppose -19*r = -31*r + 60. What is the second derivative of q*w**5 + 3*w - 8*w**r - 5*w + w wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4 - 1976*o**3\/9 - 52334*o**2\/9 - 20476*o\/3 - 1232 = 0.\nAnswer: -21, -1, -2\/9, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*j - 8 = -54, 2*j - 27 = -3*n. What is the highest common factor of n and 242?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.43 - -1.26. What is o rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34121815*w**5 + w**4 - w**3 + 35307813*w**2 wrt w?\nAnswer: -2047308900*w**2 + 24*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -1068923?\nAnswer: -1068922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h - 1)*(-1 - 3 + 3) + (1 - 1 + h)*(2 - 4 + 1).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2573 and 1365931?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(80)\/(sqrt(4)*3))\/(-4*sqrt(10)*-3))*1.\nAnswer: sqrt(2)\/36 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 481\/1465 + 4\/(-10) and 9 - 4*(41\/22 + (-19)\/(-38))?\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*l - 30*l + 329 = 0. Let u(b) be the third derivative of b**6\/120 + 2*b**5\/15 + b**4\/4 - b**3\/6 + 3*b**2. Calculate u(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**2 - 1\/6*v**3 + 0 - 2*v. Let g(q) = q**2 - 2*q**2 + 0*q**2. Determine k(g(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-303 - -341) + -9 + -6 + 39?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1747 is divided by 872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8 + (2 - 13) + 3 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7911 - 7911.01689. Round b to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/10, 7, 4, -0.2 in decreasing order.\nAnswer: 7, 4, 9\/10, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8541.\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 18*m - 68. Let c be z(-6). Let v be ((-2)\/2)\/(3\/(-3)). Solve -24 = -3*t - 5*q, 0 = -2*t + c*q - v - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-469)\/12)\/(-7))\/(10630\/(-255120))\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwww. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 101?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*t - 0*x + 4*x, -2*t - 4*x = -8. Suppose -s + 615 = t*s. What is the remainder when s is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 95 = 10*x. Suppose 6*p - x = p - a, 3*a = -2*p + 5. Suppose -3*i + 6 = p*j - 2*j, -5*j = -3*i + 6. Is 1 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7)*x*x\/x**3*x**(-2\/3)\/(x\/x**(2\/5)) assuming x is positive.\nAnswer: x**(-139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/63 + 26\/7. Let b = 342 - 222. What is the common denominator of (54\/b)\/(2\/(-12)) and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -45. What is the hundreds digit of (x + 2)*(-508)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = 1. Is 22\/(0 - (h - 3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 261.4 (b) 14 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-194*l**4 + 235*l**4 + 122*l**4)*(-11*l + 1 + 2 - 2).\nAnswer: -1793*l**5 + 163*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - -6. Let q = 55 - 21. Let j = q - 19. Calculate the remainder when n is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 383 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 23053*n**4 - 2*n**3 + 117*n + 2 + 2*n**2 + 23052*n**4 to f + y*n + d*n**2 + g*n**4 + o*n**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 5*y. Let f(j) = -j**2. Give 4*f(a) - k(a).\nAnswer: -3*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5625.206 milligrams in micrograms?\nAnswer: 5625206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 263*u**5 + 62*u**4 - 2*u**3 + 10159*u**2 + 15*u - 2 wrt u.\nAnswer: 15780*u**2 + 1488*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 17. Let r be (42\/(-49))\/(2\/b). Solve -w - r = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w**2 - 1. Let r be (-8)\/6*6\/4. Determine q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -1098, -2460, -4356, -6780?\nAnswer: -9726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14) - (-315)\/(-147)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 = 7, -4*k - 646 = -n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277062330894939.1999886 + 277062397152298. Let g = -66257350 + p. Let w = -8.8 + g. What is w rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -3132613?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -611 - -11611\/19. Which is the second biggest value? (a) -1 (b) r (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s + 26. Let n(h) = 13*h + 38. Give -5*n(k) + 8*y(k).\nAnswer: -k + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 - 7732266*y**2 - 4982389982115*y - 79716260266032 = 0. What is y?\nAnswer: -1288703, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2148*c + 2383*c - 8831*c to the form y*c + j and give y.\nAnswer: -4300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2824?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -17144 (c) 4 (d) -38 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10965 - 1057\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7664804.84 - -7664813.75347561. Let g = k - 8.971273. Let x = g - -0.0578. Round x to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2))**(-1\/14)\/(r**0)**26 assuming r is positive.\nAnswer: r**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 6*w - 4*w + (-4 + 2*w + 4)*(-2 + 0 + 4) + w - 4*w + 5*w)*(-124*w - 53*w - 12*w).\nAnswer: -1323*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)*c*c*((c*c**(-1\/5)\/c)\/c)\/c*c**(2\/5)*c**(-1\/16))**(-2\/25) assuming c is positive.\nAnswer: c**(549\/1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**3\/3 - 4*y**2 - 14*y. Let l be s(-4). Is ((-60)\/l + 2)\/((-3)\/(-36)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l - 862 = -274*l + 3122 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 3 - 5, 12*u - 32 = 4*r + 70 - 38 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -127, -156, -171, -172?\n\"Answer: 7*m**2 - 50*m - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 1 + 1 + (-3 - 2 - 19)*(-d**2 - 2*d**2 + 4*d**2) as o*d + t + i*d**2 and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -25. What is the closest to p in -4, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.6 + 0.4. Let j = 8.8 - p. Put 5, 0.3, j in descending order.\nAnswer: 5, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + n - 2. Let j = -228 + 352. Let r be 1\/5 - (-2 - j\/(-20)). Let w(t) = t**2 - 2. Let k(a) = r*q(a) + 5*w(a). Determine k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 + l**2 + 0*l**3 + 0*l**2 + (-3 + l**2 + 3)*(-1738*l + 2504*l - 1181*l) + 7*l**3 - 3*l**3 - 3*l**3.\nAnswer: -411*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 8323. Let q(t) = 2*t. What is a(q(h))?\nAnswer: 4*h + 8323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0 + 0*f**2 - 1\/25*f**5 + 0*f**4 - 8*f + 2\/15*f**3. Solve i(m) = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12049289 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 11, 59, 312, -8.\nAnswer: -8, 11, 21, 59, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/449 + 848\/11225. Suppose 5*d + 5 = -3*a + 2, -a = 2*d + 2. Let x be -2*(2\/a - 1). Is t at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 16709?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34721, -34720, -34719, -34718, -34717?\n\"Answer: x - 34722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3711.\nAnswer: 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -64, -68, -72, -76, -80?\n\"Answer: -4*s - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50, -312, -1004, -2342, -4542, -7820, -12392, -18474?\n\"Answer: -36*y**3 + y**2 - 13*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 15\/83, -0.07, 2\/5, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 615 = -5*o, -o - d + 147 = 24. Suppose 4*t + 4*c - 76 = 8*c, -o = -5*t - 2*c. Suppose -j = 4 - t. What is the highest common divisor of j and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -117\/16?\nAnswer: -117\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**5\/60 - 2*k**2. Let r(y) be the second derivative of y + 0*y**2 + 1\/12*y**4 + 0*y**3 + 25. Determine r(j(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/12661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t**3 + 0*t**4 - 12*t**2 + 11*t - 18*t**2 - 6*t + 11*t + 2*t**4 = 0 for t.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 10*s + 5. Suppose -f - 11 = -p, -p = 3*p - 4. Let l be o(f). Solve -14 = l*m + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009434 to five decimal places.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47.3 (b) -57 (c) -5 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -n + 72. Let u = n - 4. List the prime factors of u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*o**2*q - 6*o**2 - 2*o - 89*q + 2 wrt o?\nAnswer: -18*o*q - 12*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2\/5)\/x)\/x)\/x)\/(x\/(x**0*x)))\/(x**(2\/27)\/x*x*x*x**(-2\/21)) assuming x is positive.\nAnswer: x**(-4138\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 15. Let a be k(15). Suppose 0 = i - 4*z - a*z, 5*i - 5*z - 45 = 0. What is the least common multiple of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 - 1. Suppose 2 = m + 1. Calculate f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 u, and 1 w when four letters picked without replacement from fwuxnuu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9722*h - 398601. What is x(-41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 57*a**2 - 553*a - 837. What is q(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 10*h - 14. Let v be l(8). Suppose 0 = v*m + 10, 5*b + 3*m = -2*m + 2840. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - 2)\/(1\/2). Let k = u - -146\/9. What is the third smallest value in k, -4, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = -5*r - 10, 5*r + 30 = 3*x. Suppose x*j = 4*j + 9. Is -7 + j - (-2368 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11945 at most -35831\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -6.9, -3, 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h. Let p be h\/8 - (1 + -1). Let 8\/7*y**2 + p + 2\/7*y = 0. What is y?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532159000 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -2, 1\/6, 3\/7, 13 in ascending order.\nAnswer: -2, 1\/8, 1\/6, 3\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 344 divided by -4\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34805*y**4 - 14180 wrt y.\nAnswer: 139220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 548\/7. Let b = -1.08 - -1. Is b at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3051 + 4397. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 2*d**2 - 14*d - 11. Let r be g(-5). Let z = 38 + r. Let m be 7*-2*z\/(-77). Solve -11 = m*x + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-3)\/1))\/(17\/(-2)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 + 26.1. Let q = a - 54. What is the biggest value in q, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -13, -7.4 in decreasing order.\nAnswer: 30, -7.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1726657, -1726733, -1726859, -1727035, -1727261, -1727537?\n\"Answer: -25*j**2 - j - 1726631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -2*p**2 - 1\/6*p**4 + p - p**3 + 0. Solve f(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2. Suppose -r + 8 + 1 = 0. Let h(l) = r*l**2 + 27*l - 27*l. Determine h(m(b)).\nAnswer: 81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-6)\/3 - 98. Let p = 42 + o. Let m = -9 - p. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-444)\/(-20))\/(3\/15) 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 39084374 and 34182.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*s = -16, -17*v + 12*s = 8*s - 106 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -30*m - 37. What is the units digit of w(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/252 and -107\/196.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:54 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 26*d - 7. Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34557989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*b + 140, 6*m - 64 = 7*m - b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 46. Let i be 86\/z - 10\/105. Let 30*q**i - 45*q**5 + 3*q**3 - 2*q**2 + 37*q**3 + 5*q - 28*q**2 + 0*q = 0. Calculate q.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2307*l - 2597. Let g(p) = -3075*p + 3463. Let d(i) = 11*c(i) + 8*g(i). Find the first derivative of d(w) wrt w.\nAnswer: 777","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531343.\nAnswer: 531343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02621651 + 0.02617. What is k rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) -0.02 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = d + 3*w, -3*d + w - 2 = -17. Suppose -g = -i + 8, 2*i - d = g + 5. Let x = g + 41. What is the remainder when 139 is divided by x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 20*s**4 + 3*s**2 + 1\/80*s**6 + 8 - 19\/20*s**5 + 0*s + 200*s**3. Solve t(x) = 0.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 5*x + 1)*(0*x**2 - 5*x**2 + 3*x**2) - 6*x**3 + 2*x**3 - 4*x**3 - 2*x**3 - 2*x**3 - 4*x**3 + (-3*x**2 + x**2 + 0*x**2)*(5*x - 6*x + 3*x).\nAnswer: -30*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1048 = -20*r + 4548. Solve -72*d - r = -47*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -37511?\nAnswer: 37504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/7*((-402)\/3015 + 48\/10). Factor 0*y + 5\/2*y**3 + 5\/2*y**z + 0 - 5*y**2.\nAnswer: 5*y**2*(y - 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 620 - 617 = 0. Let h(g) = 6*g**2 - g - 1. What is h(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 j, and 1 h when four letters picked without replacement from {n: 1, j: 3, i: 2, r: 1, d: 10, h: 1}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 14404\/(-14) - 118\/(-826)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*b - 157, 4*o + o = b + 210. What is the remainder when 214 is divided by o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 84. Let q = 148 - d. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -34*a**2 - 5. Let o(h) = 101*h**2 - h + 16. Let l(z) = -8*d(z) - 3*o(z). Find the second derivative of l(s) wrt s.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 31786692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/39*38 + 1. Let r = c + 343\/52. Let i(n) = n**3 + 20*n**2 + 20*n + 21. Let z be i(-19). Is z at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-44)\/33)\/(16\/(-60)). Suppose 9*w - 12*w - 3*z = -30, z - 50 = -t*w. Is w less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6 = 2*q, -13*u + 14*u + 9 = 3*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -603360 - -603362. Factor 352\/13 + 2\/13*o**3 + 38\/13*o**u + 16*o.\nAnswer: 2*(o + 4)**2*(o + 11)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 25*d - 287. Suppose 4*v - 3*z = 55, -3*v - z - 2 + 27 = 0. What is the remainder when d is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*z**2 + 75*z - 3027 wrt z.\nAnswer: -32*z + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd83 + -5?\nAnswer: -cd88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/144*(-4)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 42\/11 - 4\/(-22). Let s be (j - 0)\/(1\/(2 - -23)). What is the greatest common factor of s and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a week in hours?\nAnswer: 3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1021, -702, -381, -58?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23605948 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 6. Suppose -2*z + 6*z = -16, 5*z + 65 = r*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72510*p**3 - 1016837?\nAnswer: 217530*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 5:20 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*p**5 - 5150*p**4 - p**2 + 1001*p + 485 wrt p.\nAnswer: -1480*p**3 - 61800*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07604 to 3 decimal places.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-213*(-4)\/12)\/(4\/182916). Suppose 0 = 2*z - 6, 5*z = -o + 10206774 - p. What is o rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14.921 and -32382?\nAnswer: 32367.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613147703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 153. Let f(b) = b**2 + 10*b - 8. Calculate the remainder when f(n) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38277200 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -60. Suppose -14 = -2*u - x*n - n, -u + 7 = 3*n. Let g = -1 - -1. Solve 3*t + u - 19 = g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 800.36 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.351 + 3.649. Which is the closest to -1? (a) -2\/7 (b) 14 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctjcccjzcuccce. Give prob of sequence cj.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91028 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6166, 12353, 18538, 24721?\nAnswer: 30902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.333226 + 0.1.\nAnswer: -4.233226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2333 + -103?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 396 + -391. Let h(b) = -b**2 + 8*b - 8. Determine h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/4)\/(0 + (-6 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6892.\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 465677 (base 8) in base 10?\nAnswer: 158655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*z**4 - 15047*z**3 + 135415*z**2.\nAnswer: -168*z - 90282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 1, w: 4, g: 2, j: 1}. What is prob of sequence aw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 11) to base 12.\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14 - (-16)\/256*8*28. Find s, given that 0*s**2 + 0*s + 1\/2*s**4 + k - 1\/2*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2 and 53\/796.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 3. Let g(f) = f. Let d(w) = 2*w - 16. Let c(b) = d(b) + 8*g(b). Determine 2*c(v) - 11*y(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 89*k - 24. Suppose -11 - 5 = -8*v. Let a be h(v). Calculate the highest common divisor of a and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1361837356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 15*p + 0 + 37*p - 6 as x + y*p and give y.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -162.430776 times 8\nAnswer: -1299.446208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14 = 5. Let q = w + 14. Solve -2*x + 14 = 4*f, -q*x = 6*f - 2*f - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 56. Let o(m) = 5*m - 5 - 31*m + 9*m + i*m - m**2. Determine o(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**5 - 54740*u**4 - 197773950*u**3 - 228402564500*u**2 + 26771102606875*u = 0. What is u?\nAnswer: -3685, 0, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - 1173\/10. What is the closest to -1 in w, 1, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, 2, -820.5, 0.3 in increasing order.\nAnswer: -820.5, 0.3, 2, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v. Let p(d) = 2*d. Let w(i) = i. Suppose -4*a + 17 = -z, 10 = 5*z - 5. Let l be 1\/(-4) - 11\/4. Let x(q) = a*w(q) + l*p(q). What is t(x(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.25 - -4.25. Let z = 843 - 847. Sort z, i, -1\/3 in descending order.\nAnswer: -1\/3, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 2*i**2 - 7*i - 4. Let c be r(3). Suppose -12*s = -c*s + 312. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(255\/(-40))*(-6)\/4. Let s = -17 + 27. Let i = 14 - s. Put i, 3, z in descending order.\nAnswer: i, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107 and 1965.\nAnswer: 210255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + sqrt(75)*2)*4 - (sqrt(75) - 3*(sqrt(75) + -1 - sqrt(75)))) + (6*(sqrt(300) - sqrt(300)*2))**2 + 1.\nAnswer: 55*sqrt(3) + 10798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5672992 divided by -52.\nAnswer: -109096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3440122l?\nAnswer: 344.0122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**1)**(2\/45)*(c**(-1)\/c**(-1\/2))\/(c\/c**(1\/3)*c)**17 assuming c is positive.\nAnswer: c**(-2591\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9259?\nAnswer: 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506605 and 88855195.\nAnswer: 8305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Suppose -7*o = 273 - 385. Suppose 0 = 71*x - 69*x - o. What is the highest common factor of n and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 8*b**3\/3 + b**2\/2 + b + 691. Let i(z) = 9*z**2 + z + 2. Give 3*i(n) - 4*r(n).\nAnswer: -5*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -3\/14 (b) -1 (c) 1\/19 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 126220, 504802, 1135772, 2019130, 3154876, 4543010, 6183532?\n\"Answer: 126194*q**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g + 3*o + 75 = -g, 8 = -2*o - 4 - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6735\/26 > 258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 63.78035 decades?\nAnswer: 0.6378035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 10*c + 189 = 0. Let y = -11 - -18. Calculate the greatest common divisor of c and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/57 + (1 - 2). Suppose 0 = -3*n + 9*n. Which is bigger: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j - 30 = 0. Let c be (-2 - j\/4)*4. What is the derivative of -c + 4 + 0*q**3 - 4 - 3*q**3 wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from iujsm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -1 - (-90 - -77 - (31 - 7)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2. Let x(c) = -3*c + 5*c + c**2 - 2*c. What is u(x(w))?\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.2, -1\/3, -23\/15, 1.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -36*u + 1140. Does 65 divide y(-64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -1. Suppose -4 = 3*x - 2*v - 21, 4*v = -t. Find the third derivative of -43*g**x + 7*g**2 + 80*g**3 - 55*g**3 wrt g.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198318408?\nAnswer: 2, 3, 31, 43, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -0.3, 0.3, 19?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 242*h*w - 2*h + 15 wrt w?\nAnswer: 242*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 180*h + 11 + 21*h + 179*h - 94*h + 2*h**2 as s + g*h + z*h**2 and give g.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j - 12. Let g(x) = 5*x - 6. Let a(b) = 5*g(b) - 3*y(b). Let n be a(4). Let h be 1 + -3 + n + 9. Sort 2, h, 3 in increasing order.\nAnswer: 2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3, 0.69, 7, -3\/23?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 19438070\nAnswer: 77752280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255 - -261. Let c(y) be the third derivative of -4*y**2 + 0 + 0*y + 1\/40*y**4 + 1\/15*y**3 - 1\/600*y**u + 0*y**5. Factor c(r).\nAnswer: -(r - 2)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*(a**(-10)*a)\/a)\/a))\/a*a**(18\/5)*a assuming a is positive.\nAnswer: a**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26290448 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 divided by 4?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 2*s + 3. Suppose -9 = 3*i - 3. Let z be f(i). Let k = -3305 - -3310. Put z, -7, -2, k in decreasing order.\nAnswer: k, -2, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let y(o) be the third derivative of -265*o**4\/6 + 5*o**3\/6 - 2897*o**2 + 1. Determine y(i(g)).\nAnswer: -2120*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 26*s - 47. Let x be w(5). Factor 5*d - x*d**2 - 2*d + 6 + 5*d + 85*d**2.\nAnswer: 2*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 - 9*y**2 - 3*y - 1996. What is h(11)?\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23.48 times 0.1\nAnswer: -2.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952514 is divided by 750?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 8:44 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3222.7 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21511 (base 6) in base 12?\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 10) to base 6\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 h when three letters picked without replacement from ccchhccycycchyhyhj?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 111 = 4*g. Solve -2*i - z = -5, -g*i + 9 - 12 = 5*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 298, 4\/5, 2\/5.\nAnswer: 2\/5, 4\/5, 1, 7, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/6, -3, -5, -0.2, -3196.695?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4695305, -9390572, -14085839, -18781106, -23476373, -28171640?\nAnswer: -32866907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 z when three letters picked without replacement from zhhhyhhyhyzbz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.0498 + -0.0502. Let m = z - -77. Let d = m + 7. What is the nearest to 1 in -2\/21, -2, d?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009016701 to five dps.\nAnswer: -0.00902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 239225 and 17?\nAnswer: 4066825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 132330002321 (base 4) to base 8\nAnswer: 36740271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 1:06 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210022203 + -2?\nAnswer: 210022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5834624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -75*m**4\/4 - 51*m**3 - 81*m**2\/2 - 3*m + 15. Suppose f(o) = 0. What is o?\nAnswer: -1, -1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4679939192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.5 + 14.5. Which is the fourth biggest value? (a) 5 (b) o (c) 2\/9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545, 543, 541, 539, 537, 535?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 69.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 1 + 0*a - a)*(-3 - 4968*a - 4 + 4969*a) to the form b*a + k + d*a**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -61*y - 7. Let n(g) = -37*g + 8*g + 0 - 6 + 0 + 3. Let s(r) = -2*f(r) + 5*n(r). Give s(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 10*p + 6 + 9 - 24 + 10*p in the form d + f*p and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpb when three letters picked without replacement from {y: 2, b: 2, g: 3, q: 3, p: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2. Let w(c) = c + 9. Let r(v) = 9*k(v) - 2*w(v). Let b(p) = 2*p. What is b(r(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1150, 1120, 1090, 1060, 1030?\n\"Answer: -30*w + 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16\/27 + -82\/135. Suppose -2*u = -0*n + 2*n - 12, n - 2 = -2*u. Suppose b + 2*x - 2 + 4 = 0, x + n = -5*b. Is b bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87529?\nAnswer: 13, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.71474 rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, k: 2, i: 3, y: 5, q: 1}. Give prob of picking 1 k and 1 f.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 + -125252452?\nAnswer: -125252351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d + 3 = 117*d - 448*f + 453*f + 28, 2*d = f + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16\/15 of a hour?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14391 + -14391.0203. What is y rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*250\/(-120)*6\/2. Let f = -10 - l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 11*z**4\/4 - z - 3. Let y be d(-1). Let v = y - -17. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2760.051 days in microseconds?\nAnswer: 238468406400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -105811757 divided by -1\nAnswer: 105811757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 204, 194, 60, -240, -748?\nAnswer: -1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -2)\/(1\/1). Let m = 1 - n. What is the smallest common multiple of 14 and 215\/15 + m\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let a(u) = 3493518*u. Give p(a(v)).\nAnswer: 3493518*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 1:29 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 7*o + 2. Suppose 0 = -3*k - 13 - 5. Let h be v(k). Suppose -5*n = h*m - 4*m - 22, 2*m - 4 = n. Solve -q + m = -0*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*t = -3*g - 1, -4*t - 8 = 0. Suppose -4*n + n = -18. Let z = 0 + n. Solve -g*y + 0 = z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38052 divided by -906.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/3 + 7604*y**2 + 1054760*y + 110406800\/3 = 0.\nAnswer: -11266, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 9) + (4 - (-3 + 4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 5*x**2 + 2312*x - 1155*x - 1157*x - 2*x**2 - 3.\nAnswer: -x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119 + 1680*g**5 - 26*g**2 + 4542260*g**4 - 4542260*g**4 wrt g.\nAnswer: 100800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4140 and -32.1.\nAnswer: -4172.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -10. Let i be -228 + (-14)\/63 + 50\/(-18). Let l be (h\/3)\/(11\/i). Calculate the greatest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 437 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/313 and 91\/23919460.\nAnswer: 23919460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.32 * 26895.\nAnswer: -89291.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89*w**4 + 202*w wrt w?\nAnswer: 1068*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 1\/5, -1.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 12 = u - t, 0 = 3*u - 3*t. Suppose -u*z + 6*z - 74 = -5*r, -2*z = -4*r + 54. Solve c + 5*i + 18 = 0, -c - 2*c = 5*i + r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116 or 0.2?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 4. Suppose -2*d - 3*p - 1 = 0, -3*d + d + 14 = -2*p. Suppose d*c + 2*w = -26, 5*c - 2*c = w - 7. What is u(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -42*x**2. Let j(n) = -9959*n. Determine y(j(k)).\nAnswer: -4165630602*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 + 68 - 15501*i**3 - 217.\nAnswer: -15501*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*v + 20*v + 23*v - v**2 + 12*v + 28*v - 137*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5) + (-63)\/(-60)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73\/15 + 106\/45. Find the common denominator of j and 29\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (55634\/(-6))\/((-109)\/981) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 2*q - 1. Let h(y) = -y**3 + 21*y**2 + 22*y + 3. Let c = -24 + 46. Let k be h(c). Determine x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 + 222. Let o = 1 - 6. Which is bigger: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 13, d: 3}. Give prob of picking 3 d.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 299621183 + -0.1?\nAnswer: 299621182.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d. Let n(s) = -3*s**2 + 87*s - 87*s. What is v(n(g))?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*b = -87, 5*c - 2*b = -b + 407. Calculate the remainder when 89 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079 is divided by 896?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 37 - 5*f**2 + 9*f**2 + 37.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7767*g**4 + 8241*g**2 - 86957570 with respect to g.\nAnswer: -31068*g**3 + 16482*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*h + 302, -h + 2*x - 304 = 4*h. Let d be 2 + 72\/h + 221\/5. Solve 0 = n - 5*s - 20, 3*n = 8*n + 4*s + d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4099989 a multiple of 1072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 28 = 4*x, 5*q + 6 - 2 = 4*x. Find the third derivative of 4*f**2 + 2*f**6 - 2*f**6 + 3*f**x - 6*f**2 wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 1:43 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -26. Let v be 548\/r - (-2)\/11. What is the highest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1992, -1909, -1846, -1815, -1828, -1897, -2034?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349685 is divided by 116549.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 823229 or -351?\nAnswer: 823229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 596 + -591. Let i(h) = 0*h - 5*h + 0*h - 14*h**2 - 13. Let u(y) = y**2 + y + 1. Let t(s) = q*u(s) + i(s). Differentiate t(v) with respect to v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.928972 centuries in months?\nAnswer: 11914.7664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, e: 6, a: 1, p: 1, t: 9}. Give prob of picking 1 e and 3 t.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 790440 + 1?\nAnswer: 790441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -371 - -574. Let z = 20 - 18. List the prime factors of (z - h)*(-2)\/6.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -313*t**5 + 939*t wrt t?\nAnswer: -6260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 7*c = -4*k + 150, -177 = -5*k - c. Suppose 2592 = k*g - 26*g. Is g a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 147449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42d29 (base 16) to base 14.\nAnswer: 71a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24759 + 8253 + 8258 + 8248 + 0*n - 6*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/162 and -133\/11268.\nAnswer: 101412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 12 = -t, 545*j = 540*j + 5*t + 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -14.07. Let m = o + 13.975. Round m to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38232702257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33104519 to the nearest integer?\nAnswer: 5754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332621 to the power of 1\/2, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026460349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*w + w - 3648. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2632 and 33564251.\nAnswer: 268514008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 3. Let n be z(4). Let o = 0.647 + -0.547. What is the second smallest value in -3, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32956 and 70192?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121151832?\nAnswer: 2, 3, 5047993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*f - 7, -3*l + 2 = -l + 2*f. Let q be 0\/(-3) + l - (-12)\/3. Let y(s) = s**2 + 4*s. Let u be y(-5). Sort q, -1, u, 4 in descending order.\nAnswer: u, 4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 10 = -2*t. Suppose -2*y = 2*y - 20. Suppose -t*l - 4*a = l + 10, -5*l + y*a = -30. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491130 is divided by 14425?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8 = 0, 5*g + 7 = -2*q + 19. Let k = 7 - 5. Solve 0 = -m + k*m + g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5519, 4991, 4463, 3935?\nAnswer: 3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 64.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3*p**3*x - 11744*d**3*p**3 + 2*d**3*p**2 + 30671*d**2*p**3*x wrt x?\nAnswer: 2*d**3*p**3 + 30671*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47486*a*n**6 + a*n**4 + 3*a*n**2 - 6621*a wrt n?\nAnswer: 5698320*a*n**3 + 24*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bffbo. What is prob of picking 1 b, 1 o, and 1 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 59047767570 to the nearest 1000000.\nAnswer: 59048000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10493705*a*u**4 - 3*a*u**3 + 253*a - 8875*u**2 + 2*u - 12 wrt u?\nAnswer: 251848920*a*u - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 136 (c) -22 (d) 286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 7 + -18)*-2*57\/24.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**2 - 1. Suppose -475 = 5*c + 3*z, 5*c = z - 627 + 172. Let j = 267 - 174. Let w = j + c. Determine x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 2:26 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 1909.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o + 3. Let c be ((-36)\/8)\/(o\/2). Suppose 5*v + 1 = -g, 6 = g + v - c. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 116 = 5*q. Let a(h) = -h**2 + 23*h - 34. What is the remainder when 15 is divided by a(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/6*(-66)\/55?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 48*k**2 - 48*k + 63. Let r be p(23). Let b(h) = -h**3 - 5*h**2 + 15. Let q be b(-6). Calculate the highest common divisor of q and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**5)))\/c*c*c*c**2)\/(c\/c**(-1)*c\/(c\/c**(1\/8)))*(c**(-2)*c**4)\/((c\/c**7)\/(c*c**(-2\/3))) assuming c is positive.\nAnswer: c**(365\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1104*x**2*z - 1395*x**2 wrt z.\nAnswer: 1104*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2*31)\/(-2). Let l = 71 - h. Let o = l - 32. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, 1 t, and 1 e when four letters picked without replacement from {v: 1, h: 1, e: 2, i: 1, g: 2, t: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*24\/2. Let r = u - -19. Suppose 51 = 5*c - n, 3*n - r = -4*c + 26. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tftdfeb. Give prob of sequence etdt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4 = -11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 2:12 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10328.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1144044 and -37\/1881?\nAnswer: 21736836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 717618 and 996?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*2*6 + sqrt(352))*3)\/(-3*(sqrt(891) - -2*sqrt(891) - sqrt(891))*3).\nAnswer: -26*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112111 + -2?\nAnswer: -112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*4)\/(5 - 3). Suppose -12*t + 117 = t. Let d be t\/x + (105\/(-2))\/(-7). Which is the third smallest value? (a) -2\/9 (b) 1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36380, 145687, 327928, 583109, 911236?\nAnswer: 1312315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + c + 2)*(3*c + 5*c - 3*c + 4*c - 3*c + c + (1 + 0 - 3)*(-7*c + 4*c + c) - 5*c + 3*c + c) to the form m*c**2 + a*c + n and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/67, -39, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 759118\/7 (b) -1\/2 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 162961943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411034507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 210 - 2?\nAnswer: 20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 + -1 - 24\/(-8) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Let h = -0.1 - 0.1. Sort v, h, 0.4 in ascending order.\nAnswer: h, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m + 420 = 0. Let u = 1048 - 1026. What is the remainder when m is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Suppose f*d = -d + 228. Let k = 28 - d. Round k to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 69344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77108316 is divided by 2224.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.13 + 440.53. What is j rounded to the nearest 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904.3202 hours in microseconds?\nAnswer: 3255552720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667387 is divided by 269?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1223\/24 + 1235\/24. Factor -3\/2*v**2 + r - 5\/4*v**3 + 9\/4*v.\nAnswer: -(v - 1)*(v + 2)*(5*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 5:37 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 - 0.5. Let h = -472549 - -472548. Which is the closest to -2? (a) h (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltt when three letters picked without replacement from lttttttllttllt.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*f**3 - 2*f**5 - 14*f**3 + (-4*f**3 + f**3 + 2*f**3)*(f**2 - 2*f**2 + 2*f**2) + (3*f**3 + 4*f**3 - 5*f**3)*(4 + 2*f**2 + 6 - 3).\nAnswer: f**5 + 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2999107257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:41 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.82628 to two dps.\nAnswer: -1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 186*i**5 + 150*i?\nAnswer: 3720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006280 at most as big as 2006279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(2\/29)*m))*m**(4\/19))**(6\/5))**19 assuming m is positive.\nAnswer: m**(846\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 126060*p**3 - 363*p**2 + 242*p. Let k(r) = -2101*r**3 + 6*r**2 - 4*r. Give 2*i(q) + 121*k(q).\nAnswer: -2101*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728529016?\nAnswer: 2, 17, 31, 172801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 861266 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 906, 903, 898, 891, 882, 871?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 17*t = -z - 20, -15 = 3*t - 4*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199402.\nAnswer: 2, 7, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 96 = -18*s + 27*s. Solve 43*r - s*r = 155 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -86*l - 2392. Let i(w) = -34*w - 1197. Give 2*g(c) - 5*i(c).\nAnswer: -2*c + 1201","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2342, -9681, -22028, -39383, -61746, -89117, -121496?\nAnswer: -158883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 730 and 0.37.\nAnswer: 270.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1155 and 61\/39732?\nAnswer: 198660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - -2 - 4 - (-17 + -3). Suppose -3*t + 114 = q*t. Suppose -2*h + 5*g = -30, 4*h - 4 = -4*g - 0. Put 0, h, t in increasing order.\nAnswer: 0, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdxf. Give prob of picking 1 f and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*u + 19*u = -1226*u - 137855 for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 201*m - 394. Let i(f) = -903*f + 1576. Let w(s) = -9*c(s) - 2*i(s). Let r(x) = x. Calculate r(w(b)).\nAnswer: -3*b + 394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-2 - -4 - -238074). Suppose -42579 + j = -5*m. Round m to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -235\/4. Let s = 131\/12 + g. Factor 0 + s*r - 2\/3*r**2.\nAnswer: -2*r*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 0 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0233 + -3.0233. Which is the closest to 7\/10? (a) -1\/7 (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 37 + 3. Let x = v + 11. Which is bigger: x or -3\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 4*v + 8, -5*y + 4*v + 37 = 0. Let h(s) = -4*s + 5. Let q(z) = 3 + 2*z - 3*z - 2. Let r be (2\/(-1))\/(2 + -1). Determine r*h(p) + y*q(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (-19 - (-20 - (-17 + (-1 - -21)))).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-469*f + 29*f + 20*f)*(1 + 1 - 2 - 2) to q + m*f and give m.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0)*1\/(-1). Let i = 45 - 48. Let u(y) = -2*y**2 - 4*y + 7. Let s be u(i). Sort t, 5, s in increasing order.\nAnswer: t, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -2676?\nAnswer: 2678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -573543\/4 - -142106. Let p = u + 1304. Find the common denominator of (-118)\/(-42) + 1\/3 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 4:24 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600695?\nAnswer: 3, 5, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*r + 190 + 3770. What is the remainder when r is divided by 59?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uddudddyudududdddd. What is prob of sequence udu?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/3373806 and -4\/27.\nAnswer: 30364254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4372 + 8134. List the prime factors of s.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 5*a**2 + 3*a - 2. Suppose -6 = -p - 2*p - b, 2*b = -p + 7. Suppose -p = -x + 3. Give c(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 826642 and 11152?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f - 6173 = -6269 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + sqrt(84)\/(sqrt(12) - (2*sqrt(12) + sqrt(12)))).\nAnswer: -3*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g = 78*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*((-98)\/7)\/(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86349481?\nAnswer: 47, 1837223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let v(t) = 14*t**2 + 1 - 1. What is v(j(c))?\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Let p(h) = 259376*h**2. Give k(p(g)).\nAnswer: -134551818752*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1890 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -5.3449738376035.\nAnswer: -5.1449738376035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (11 + -6 + 3 + -18 - -8)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3733762, 3733657, 3733552, 3733447, 3733342?\nAnswer: 3733237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g - 2*g)*(-3 + 2 - 1)*(2*g**3 + 0*g**3 + 0*g**3).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/390*1*(-360)\/(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 127.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191*j**3 + 79*j + 1?\nAnswer: -1146*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:10 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1779 - 917 = -20*l - 285*l - 4933 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/7)*w)\/w**39 assuming w is positive.\nAnswer: w**(-256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 2128059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1623358 divided by -113\nAnswer: -14366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h - 2*h)*(4*h + 0*h - 2*h)*((-2*h - 2*h + 5*h)*(h + 2 - 2) + 0*h**2 + 2*h**2 - h**2 - 1 - 3*h**2 + 1).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 9\/104 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**4 + 2*r**2 + 16*r**4 - 5*r**4 + 4 - 7*r**4 as u*r**4 + t + h*r**3 + b*r**2 + q*r and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - 377463232734.\nAnswer: -377463232733.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -297, 0.03, 0.1, -0.24, 5, 2, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 12*x**2 + 13*x**2 + x**3 + 2*x**4 - 22*x**2 to p*x + j*x**2 + d*x**3 + i*x**4 + q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 8. Let q be i(0). Let a be 2\/8 + 10\/q. List the prime factors of 2 + 10 + a + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 4*n + 4*n - 2.\nAnswer: 12*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37051*l**5 - 20*l**3 - 4979133*l wrt l.\nAnswer: 741020*l**3 - 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -3230321131?\nAnswer: -3230321200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/(-30) + ((-42)\/60)\/(-7)*-4\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o + 73 - 80 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*2\/12*-33. What is the highest common divisor of o and 1056?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22714421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 4 + 4)*(-27 - 54 + 120).\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -441*o**3 - 633*o**2 - 154*o + 1237 wrt o.\nAnswer: -2646*o - 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*l**2 + 4*l - 3*l**2 + 2*l**3 + 0*l**2 - 2*l**4 as u + g*l + h*l**4 + s*l**2 + y*l**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 814, 1595, 2366, 3121, 3854, 4559, 5230, 5861?\nAnswer: 6446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*b + 49. Suppose b = -i + 6. Let y(f) = f + 2. Let n be y(i). Sort n, -0.4, -2 in increasing order.\nAnswer: n, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -3, 6 in decreasing order.\nAnswer: 6, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*t - 269217 + 273193 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 34, 40\/43, 5\/8?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3553 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 2202\/301?\nAnswer: 2202\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/14 + (-8122)\/(-1834). Let v(j) be the first derivative of -13 + 0*j + 17\/2*j**s - 8*j**3 + 0*j**2. Find the third derivative of v(i) wrt i.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 - u - 7. Let t be x(-5). Suppose -4*a - f = -t, a - 3*f + 367 = 5*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*f**3 + f**2*s**2 - 3*s**2 - 2 with respect to f.\nAnswer: -78*f**2 + 2*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*s + 49 = -143*s. Let r(z) = -2*z**2 + 11*z + 27. What is r(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14970 is divided by 6810.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5947287 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**3 + 457*p**2 - 36*p. Let s(z) = -6*z**3 + 455*z**2 - 30*z. Give -5*i(h) + 6*s(h).\nAnswer: -h**3 + 445*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752*k + 688*k = 128 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.9 take away 87?\nAnswer: -262.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(72\/42) - 3\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from kfkkkkkkfkkfkkkk.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.5, 0, -0.3, 4, -1.273?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(300) - (sqrt(300) + -1)) + 5)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9*-1.38\nAnswer: -12.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-16) + (-18)\/36. Let q(k) = -55*k**2 - k. Calculate q(h).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312186 is divided by 1207?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Suppose 6*m = -4*d + 4*m + 34, -5*d - 5*m + 30 = 0. Let h = d - 16. Let o(n) = n. Let r(x) = x. Let u(v) = h*r(v) + 4*o(v). Determine u(p(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 111. Is 8\/(y + 2) + 125 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + g**3 + 0*g**3)*(-21*g**2 + 462*g - 462*g)*((-6 + 2 + 0)*(-1 - 1 + 1) - 4 + 5 + 1 + 4 + 2 - 5).\nAnswer: 294*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 6, g: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1904.823ml to litres.\nAnswer: 1.904823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 2 - 57*j)*(187*j + 155*j - 541*j).\nAnswer: 11343*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/15)\/(10\/((-20)\/4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 481*c**5\/20 + 277*c**4\/6 - 26*c. Find the third derivative of l(v) wrt v.\nAnswer: 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*s - 0*c + 42, -s + 2*c = -18. Calculate the remainder when 23 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfh when three letters picked without replacement from wwssfisiiwwfhch?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*h**4 + 101*h**3 - 11079*h**2 - 32009*h - 9435 = 0. Calculate h.\nAnswer: -51, -5\/2, -1\/3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u - 60. Calculate the greatest common divisor of 30 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58513, 58433, 58347, 58255, 58157?\n\"Answer: -3*j**2 - 71*j + 58587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/3 in -15, -2\/17, 47?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 169\/4. Which is the second smallest value? (a) 2\/5 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31030 and 25462.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 9:38 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 b when four letters picked without replacement from {m: 1, b: 4, p: 3, f: 2, a: 4}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/8 - (-1)\/4. Suppose -t - o*t = -18. Suppose t*i = 2*i + 4*n + 216, 2*i - 105 = -n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5383, -3527, -1 in ascending order.\nAnswer: -3527, -2, -1, 5383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/((-75)\/(-59192808)) - -10. Let l(k) = 14170*k**3 - 12*k**2 + 3*k + 3. Let a be l(-9). Let o = a - w. What is o rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 1 - (-1 + 76). What is u rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.441541 micrometers in meters?\nAnswer: 0.000004441541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.145 - -1.345. Put -5, 2\/9, o in increasing order.\nAnswer: -5, o, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*f**3 - 5*f**2 + 18*f**2 - 11*f**2 - 12 + 115*f - 115*f.\nAnswer: 189*f**3 + 2*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000943246 to five dps.\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2704*q**3 + 7*q**2 - 377*q + 10. Let z(y) = y**3 - 3*y**2 + y - 1. Let k(u) = -i(u) - 3*z(u). Find the third derivative of k(r) wrt r.\nAnswer: -16242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719541 equal to 719545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)**(-9)*b**(-2)*b\/b**(1\/5)*((b*(b\/(((b*b\/((b\/b**(-1))\/b)*b)\/b)\/b*b))\/b*b)**(-14\/5))**(-24) assuming b is positive.\nAnswer: b**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2358*l = 768*l - 5261*l - 9302*l + 446043 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -993.30818776 take away -7?\nAnswer: -986.30818776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191761 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6\/5)*y**6*y**(-5)*y*y\/y**(1\/9))\/((y**(-1)\/y*y)**(-37\/2))**(-11\/3) assuming y is positive.\nAnswer: y**(6563\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aff when three letters picked without replacement from {a: 1, f: 2, y: 1, d: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**17*q)\/q*(q**(-21)\/q)\/q*(q\/((q*q\/(q\/(q\/(q*(q*((q*q**9*q)\/q)\/q*q)\/q)))*q)\/q))**(3\/11))**(6\/5) assuming q is positive.\nAnswer: q**(-216\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2710\/1897*28\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.30704 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12232 is divided by 6110.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12.8014 from 33879.\nAnswer: 33891.8014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5863 - 170029\/29. What is the second biggest value in 10, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 + -8 - 121 - (-1 - 15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 43*r - 2130. What is s(50)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.8 + -23.4. Let s be 12\/8*(-1)\/6. Let t = -26 - -26.2. Which is the nearest to t? (a) -2\/11 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o + 10*o + 0*o**2 + o**2 - 5*o as s*o**2 + j + l*o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) 0.1 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179 - 2325\/13. Let h be ((-8)\/10)\/(10\/25*17). Which is the third biggest value? (a) f (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12985, -12899, -12755, -12553, -12293, -11975?\n\"Answer: 29*z**2 - z - 13013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 = 6*f. Let c(p) = -p**2 + 7*p - 6. Let i be c(4). Let r(n) = -n + 6. Let s be r(3). Solve -s*d + d = -3*m + i, -5*d + f*m = 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 - 12449?\nAnswer: -12501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 1. Let a(m) = 2*m + 1. Let p(u) = -6*a(u) - 5*k(u). Is p(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2353.9 to the nearest 10.\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9896 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/(7437\/(-111))*(-3)\/(6\/124).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2 + 4*x - 1. Calculate b(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 5. Let y be u(12). What is the highest common divisor of 153 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**2 - 5*y. Let h(a) = -4*a**2 - 3*a. Let p(m) = -10*h(m) + 6*o(m). Let u(i) = 31*i**2. Give p(u(s)).\nAnswer: -1922*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g + 19*g - 52*g + 8.\nAnswer: -54*g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and -49.383207?\nAnswer: 62.383207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3*c - 6, -y = c - 2 + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 82 - 81 + 130 + 4*q**2 to h + l*q**2 + a*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52334 (base 6) in base 8?\nAnswer: 15602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 216 + -212. Suppose 365 - x = 19*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 35 - (3 + -7 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 8*i**2 + 88*i + 1037. Determine j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 40\/180 - 1722\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 532457664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (-2 - (-14 - -10)) + -4 + -15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 27*c**2 - 79*c**2 + 56*c**3 + 107*c**2 to m*c**3 + x*c + o + q*c**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*(-10)\/(-150)*90\/200.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -287708.8 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - 2*sqrt(33))\/sqrt(11)*6.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/(63\/2)*138\/20. Suppose 4*p - 3*f + 16 = 0, p - 3*f = -0*f - 4. Is h > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**2 + 809*r - 1316. What is q(-117)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/35 or 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 192, 1, 0, 3, -22.\nAnswer: -22, -3, 0, 1, 3, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*(-3350)\/(-1340)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 11*y - 15*y + 5, 5*k = y + 3. Solve -2*d + 3*v = v, 16 = -2*d - y*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30, 110, 342, 666, 1082?\n\"Answer: 46*z**2 + 2*z - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -517, 26, -43 in decreasing order.\nAnswer: 26, -43, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 30 = -b, 27*b - 5*o = -446 + 691 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 7*f - 2. Let h(x) = -8*x - 27. Let p be h(-3). Let b be 2*((p - -5) + 1)*-1. What is the hundreds digit of u(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciksidiididdkci. Give prob of sequence idsc.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0*w**4 + 0 + 0*w**3 + 3\/2*w**2 - 1\/5*w**6 + 0*w**5 - 5*w. Differentiate p(s) wrt s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223807047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2736861 is divided by 9215.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - n - 8, -2*n + 4 = 3*m. Let w = -4 + m. Do w and 0 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 11191064*t. Let c(s) = -4*s. Determine c(u(g)).\nAnswer: -44764256*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18946365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 38*h**2 - 17*h + 646. Let f be r(38). Solve f = 179*l - 186*l + 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -289*k + 75. What is h(0)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c - 7. What is the tens digit of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/120 + 97*s**2. Let k = 2 + 0. Let j(c) = 12*c**3 - c. Calculate k*j(y) + 22*u(y).\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2 - 2*c + 6. Let l(o) = 14*o**2 - 5*o + 17. Give -3*l(j) + 8*q(j).\nAnswer: -2*j**2 - j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.811749mm in kilometers?\nAnswer: 0.000008811749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133\/36 + 13\/4. Let c = 0.1 - 2.1. Sort c, 4, s in decreasing order.\nAnswer: 4, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-35)\/10 + 4). Suppose 7*z = 6*z - 3*d + i, 78 = 5*z - d. Suppose -5*x + 2720 = l + 4*l, 5*l = z. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 25.41 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d - 1863. Let u(t) = -20*t - 9342. Give -14*o(h) + 3*u(h).\nAnswer: -4*h - 1944","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.86 - 5.86. Which is the closest to -0.1? (a) q (b) 1\/5 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3062121 or -3062120?\nAnswer: -3062120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29935361\/8 or 3741919?\nAnswer: 3741919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28ab - -2cc2?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/(-6) + 2\/(-3). Suppose -5*d = -d - 2*w - 10, -2*d = -2*w. Suppose d*z - 61 = -11. Solve -5*v = -i*v - z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/2 - 3\/(-1). Suppose -m - 4*b + 20 = 0, -4*m + 3*b - 15 = m. Suppose m*t + 3 = t. Sort t, -1, j.\nAnswer: -1, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11551526*i - 8 + 11551532*i + 169 in the form t + p*i and give t.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1777 (base 9) to base 8.\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26103 = -44*f + 196251. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 5*p - 1491 = 0. What is the highest common divisor of p and 710?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(-1*(-54)\/(-144)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -0.03 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-2))\/1*1. Let d be ((-217)\/28 + 9)*20. Put d, q, -1, 2 in decreasing order.\nAnswer: d, 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 221*b**3*s**3 + 115*b**2*s**3 + 2*b**2*s wrt b?\nAnswer: 1326*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*l**3 + 1324626 - 1324626.\nAnswer: 107*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(76) + -3 - (2 + sqrt(76)*-4 - sqrt(76)))**2.\nAnswer: -160*sqrt(19) + 2482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5749 = 5*x + 35728, -2*x = -4. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y. Let j(x) = x + 1. Let l(m) = -6*j(m) + s(m). Let w be l(-11). Solve -4*i - 3*g + 4 = 0, 5*g = 3*i - w - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 30656.\nAnswer: -30665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, i: 6}. What is prob of picking 1 w and 1 i?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (126 - 120)*(-5)\/(-45). What is the closest to -1 in -1, -0.4, c, 39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213736 + 355375. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 6 = 5*b, -4*q = -3*b + 144 - 104 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(350\/4)*(19 + -14). What is the nearest to -1 in 4, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 245 (b) 3\/8 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 15. Let a be h(-13). Let g(c) = 9*c**2 - 46*c - 11. Let i(v) = -5*v**2 + 25*v + 6. Let t(n) = 6*g(n) + 11*i(n). Give t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-323)*36295\/(-6405)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**5\/40 + o**4\/24 - o**3\/6 - 47*o. Let c(b) be the second derivative of g(b). Calculate c(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 + 120. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 50. Let r be i*(-1)\/2*(-3 - 118). What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96122554 is divided by 289.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**4 + 4*o**4 + 0*o**4)*(2*o - 2*o - 2*o) - 2*o**5 - 4*o**5 + 5*o**5 + 4*o**5 - 12*o**3 + 12*o**3 + (-2 + 1 - 1)*(o**4 + 1 - 1)*(0 - 2*o + 0).\nAnswer: 11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6482332)\/(-171461) - 12\/(-62).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieeeiezz. What is prob of sequence eeie?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*j - 0*j + 5*v, -4*v - 120 = -2*j. Is -2 + (-107919)\/(-15) - (-24)\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-72)\/(-20))\/((-6)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 91, 165, 261?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -3*d, 5 = -4*d + 4*x + 37. Suppose -t = 4*c - 204, -d*c + 3*t + 196 = 2*t. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f. Let x be 135\/81 + (-124)\/(-3). Let r(p) = 65*p**2 + x - 43 + 3*p**2. Calculate i(r(b)).\nAnswer: 136*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/274 and 91\/250.\nAnswer: 34250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 15 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*2*sqrt(121))\/((sqrt(99)*-1)\/sqrt(9)).\nAnswer: -12*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1029902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5 - 4346*y**4 + 43545*y**3 - 65350*y**2 - 43544*y + 69696 = 0. Calculate y.\nAnswer: -4356, -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9935.\nAnswer: 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863.119s to microseconds.\nAnswer: 863119000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696b (base 14) to base 8.\nAnswer: 43623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 2410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -16685, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 21*j**3 + 5*j**2 + 5. Let l(q) = -2*q**3 + q**2 - 3. Let i(c) = 7*c**3 - 5*c**2 + 13. Let o(p) = 2*i(p) + 9*l(p). Determine -2*n(y) - 11*o(y).\nAnswer: 2*y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + (0 - -3) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 4*y + 3. Let d be (-240)\/18*6\/4. Let q be d\/(-6)*6\/(-4). Let t be k(q). Which is the biggest value? (a) -0.2 (b) t (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x = -10, 5*s + x + 17 = 0. Let p = 115251 + -115252. Sort p, 2, s in descending order.\nAnswer: 2, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 4:13 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 531800120 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*b + 179*b - 287*b + 387*b - 3*b**2 + 0*b**2 = 0.\nAnswer: 0, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5715909 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 952.6074 litres?\nAnswer: 952607.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565819.8 nanometers to centimeters.\nAnswer: 0.05658198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -2, -8, 26, 5 in decreasing order.\nAnswer: 26, 5, 1, -2, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:53 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 122, 191, 314, 497, 746, 1067, 1466, 1949?\n\"Answer: o**3 + 21*o**2 - o + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*y**6 - 2229*y**2 + 2575*y**2 - y**6 wrt y.\nAnswer: 3600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 611\/(-188)*(-2)\/1.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 22 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, 1, 9?\n\"Answer: 8*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 25. Suppose 0 = s + n*z - 9, -5*z + 5 = 3*s - 2. Let v(c) = -4*c**3 + c**2 + c + 1. Determine v(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104\/651 + 120181\/26040. Let v = -22\/5 + w. Let r = 51\/110 - 137\/44. What is the common denominator of r and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -565\/6. Let f = -90976 - -908247\/10. Let q = f - -151. What is the common denominator of q and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 1, -1\/5, -0.1, 1\/24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**4\/24 + 13*p**3\/6 + 2734*p. Factor j(l).\nAnswer: -l*(l - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*z = -z + 16, 4*z = -2*k + 22. Does 16 divide k\/6*6 - -46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5016726 and 16995.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 15 = 3. Suppose 0*f - 48 = -s*f. What is the remainder when 47 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 5*a + 210. Let s be o(0). Let q = 14 + -10. Suppose -3*w + q*d + d = 95, -2*d = 5*w + s. Which is bigger: w or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 120*k**2 - 444*k + 432.\nAnswer: -3*(k - 36)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*w**3 - 67272*w**2 + 18149661*w - 1573436070 = 0.\nAnswer: 5090\/27, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 10, 28, 52, 82, 118?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*t - 663 - 1065 = 0 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 21 + 3 = f, 5*a = -4*f - 57. Let d be (-164)\/a - (-4)\/(-18). Suppose d + 0 = 3*n. Calculate the highest common factor of n and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(3)*6 - (sqrt(480)*2 + sqrt(30) - sqrt(30)))\/(sqrt(486) + sqrt(486) + (-6*sqrt(486)*2 - sqrt(486))).\nAnswer: 2*sqrt(5)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -124894.06121 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/10 and 4 - (-1)\/(-22)*166?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 13*h**2 - 2*h - 76. Let o(n) = n**2 + 1. Calculate o(l) + p(l).\nAnswer: 14*l**2 - 2*l - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23045091967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8288520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 663696957\/121 - 2\/(-11). Let x = 8685099 - q. Round x to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + g - 11 = 0, -2*g - 2 - 3 = r. Suppose -2*n + 374 = 3*j, j + r*n - 118 = 4*n. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*j - j = 185, r - 65 = j. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*s = 0. Suppose -f + 7 = j, -4*f + 12 = j - 5*j. What is the units digit of 4\/j - s\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209520 by -20952.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -179*g - 21818. Determine o(-121).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3686 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 853218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebbe when four letters picked without replacement from bhabaehahf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -10*1078\/3920*(1 + -13).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*d + 3*n - 980, -3*n = -d + 495. Suppose 495*b = d*b + 5181. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055445 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 17*p**3 + 0 + 9*p**3.\nAnswer: 26*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42952 - 3191.\nAnswer: -46143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137516645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3255 (b) -1\/3 (c) 0.15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3375 - 6*d + 10*d - 3404)*(-2*d**3 + d**3 - d**3) as i*d**3 + v + g*d**4 + o*d + w*d**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 340, 10, 81, -379 in decreasing order.\nAnswer: 340, 81, 10, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 12:12 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10258*v**5 + 63*v**3 - 5*v**2 - 135*v + 4.\nAnswer: -615480*v**2 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 148 = -2*f, w - 34 = f - 5*f. Suppose 0 = -4*k - 2*y + 54, -75 = -0*k - 5*k - 5*y. Calculate the highest common factor of w and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*f - 2*n, 0*f - f = 5*n - 5. Suppose -f*r + 2*r = 18. Let g = r - -9. Solve -g*i + i + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*66\/(-176))\/(-10*7\/((-14)\/(-3)))\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q**5\/6 - 3810*q**4 + 111781*q**3\/2 - 796897*q**2\/3 + 435694*q - 195060 = 0. What is q?\nAnswer: 5\/7, 2, 6, 3251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*p = 197*p + 227490 + 72590. Calculate the lowest common multiple of p and 6655.\nAnswer: 53240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d**2 - 2*d**3 + 44*d - 21*d**2 + 8*d**2)*(-3*d - 3 + 3).\nAnswer: 6*d**4 + 3*d**3 - 132*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.98 + -149.98. Let j = 339.8317 + -190.819. Let h = j + v. What is h rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 53\/(-1) + (0 - -1)*-1. Let b = -53 - y. Suppose -2*t = -x, 2*x - 3*t + 0 - b = 0. Solve x*g = 4 + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -5. List the prime factors of (-62)\/(-3) - c\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -997.567 and 0.5.\nAnswer: -997.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -577 + 599. Put -0.1, k, 0 in ascending order.\nAnswer: -0.1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 8630*f - 171800.\nAnswer: -2*(f - 4295)*(f - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.74 and -524.159.\nAnswer: -387.87766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/36*(-116)\/29. What is the third biggest value in z, 1\/7, -3\/2, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 - 6*r + 1. Let j(v) = -v. Let p(y) = 4*j(y) - u(y). Suppose o = -2*c, c - 15 = 5*o - 4*c. Let k(x) = -7*x**3 + 5*x - 2. Give o*k(w) + 5*p(w).\nAnswer: -w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.061545 and -4.\nAnswer: -3.938455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u\/(u\/(u\/u**(-1\/5))))**(-3\/11)\/(((u\/(u\/u**3))\/u*u**6)\/((u**(2\/11)*u)\/(u**6\/u*u))) assuming u is positive.\nAnswer: u**(-813\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 9\/2 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140344804.\nAnswer: 2, 23, 29, 41, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 4. Let p = -10 + 9. Is (f\/p)\/((-2)\/318) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - 8 = 0. Suppose 2 = -3*q + q, -4*l - q = 1. Suppose -s = -5, -5*k - s - t*s - 26485 = l. What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-3 + 1)\/(131\/133 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116357?\nAnswer: 23, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 2*k = -6948. Let j = 584 - k. Solve 3 = i, -j*a + 10 = -5*i - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2600123 is divided by 1009?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 9*x - 7*x - 1152, -c = 5*x - 588. What are the prime factors of c?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a century in months?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 9*v - 8. Let i be p(5). Let h be (-6)\/11*(-19)\/(38\/i). Is h at most -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 43296*y + 1295280.\nAnswer: 4*(y - 10794)*(y - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392 divided by -37429.\nAnswer: -56\/5347","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {z: 1, a: 7, g: 4, e: 1, m: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 156*k**7\/7 - 59*k**3\/3 + k + 100. Find the third derivative of m(u) wrt u.\nAnswer: 18720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -0.1, 1\/20, 1\/7, -2\/15?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21123 - 21123 + 5*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23458963 and 558646?\nAnswer: 4169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 5. Let u(c) = 8*c + 14. Let g(s) = 7*j(s) + 2*u(s). Let z be (-134)\/26 - (-22)\/143. What is the units digit of g(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}