diff --git "a/data/dm_maths/full_data/2250_11255.jsonl" "b/data/dm_maths/full_data/2250_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2250_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from {u: 2, a: 1, p: 1, y: 1, w: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) 1 (c) -1\/5 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.3, 233?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4226539.05481705 - -18927.05486105. Let w = p + 4207472. Let x = w + 140. Round x to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 19*o**2 - 61*o - 264. Give b(-14).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 521 + -11981\/23. What is the smallest value in 3\/4, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-705)\/4 + (-24)\/32. Let x be (-2)\/4*4598\/(-13). Let b = n + x. Is b at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20314 + 10012?\nAnswer: -10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13*b - 89. Let r(s) = 6*s**3 + 16*s**2 - 17*s + 2. Let a be r(1). What is d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18, 0.31, 171\/2, -0.3 in decreasing order.\nAnswer: 171\/2, 18, 0.31, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*t**3 - 7*t**2 + 28*t**2 - 6309*t**3 - 381 + 381.\nAnswer: -5944*t**3 + 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -1 - (-616)\/16. Let w = 153\/4 - a. Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34747295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 673931*q**5 - 18265*q**2 + 32.\nAnswer: 40435860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -9*c**7\/7 + 3*c**4\/4 + c**3\/6 - c + 18. Find the third derivative of v(d) wrt d.\nAnswer: -3240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 17. Let u be 2 - 12\/n*(-4)\/(-6). Suppose w = -3*r - u*w + 385, r = -w + 127. Is r a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(5\/(10\/4)). Let m be (0\/1)\/(u - 0). Solve -j - 2*j + 9 = m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, i: 3}. Give prob of picking 2 y.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 21*t**2 - 66*t - 751. Determine s(-22).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 18341, 0, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -367031172*x. Let q(y) = -3*y. Determine q(l(r)).\nAnswer: 1101093516*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**4 - 11*o**3 + 11*o**3 + 8*o**2 wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3990, -5191, -7192, -9993, -13594, -17995?\n\"Answer: -400*t**2 - t - 3589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -431133234 (base 5) to base 2\nAnswer: -110111011110101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1265971871 to the nearest integer?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 6 + 8 - 7*w)*(-29 + 29 + 8*w) in the form m*w + g + j*w**2 and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 43.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 6*c**2 + 6*c + 9. Let g be k(7). Solve -3*n + g = 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1425726 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-16)\/(-30))\/4)\/(10\/(-50)). What is the fourth smallest value in z, 0.2, -0.3, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 629*l + 4*l**2 + 189*l - 691*l**5 - 217*l - 4*l**2 wrt l?\nAnswer: -13820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - n = -56, 4*n + 6 = 43*a - 45*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(11)*-6 + sqrt(44) + -5 + sqrt(11))*-3.\nAnswer: 15 + 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1902688998?\nAnswer: 2, 3, 7, 45302119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/125065?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.9 + -37. Let c = 1.789 + -1.489. Put o, -6, c, 8 in increasing order.\nAnswer: -6, o, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -959, -1, 0.05, -12\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 77 = x, -2*x = -4*x + 3*n + 154. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1620 and 408.\nAnswer: 55080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11*f + 28. Let p be w(2). Which is the fourth biggest value? (a) -4 (b) 3 (c) -2\/7 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**3 + a**2 + 25*a + 4. Is 3 a factor of k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327.14007 rounded to two dps?\nAnswer: 327.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/47)\/((-3)\/(-39)*29\/(667\/598))\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t**2 - t**3 - 3 + 0*t**2 + 2*t**2 + 4. Let k be v(-6). Is 2\/(-3*k\/(-21)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l + 309. What is d(-31)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4)*(-18)\/(-15). Sort 1\/4, c, -2 in ascending order.\nAnswer: -2, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4139072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 918849 and 67.\nAnswer: 61562883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*m + 42, 5*k + 4*m - 16 = 3*k. What is k rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626868333.\nAnswer: 3, 7, 13, 59, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10127 is divided by 307?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5822080 by 45485.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(204)\/(sqrt(36)\/sqrt(3)) + (sqrt(68) + (sqrt(68) - sqrt(68)*1))\/sqrt(4) - ((sqrt(102)*-2 + sqrt(102) + sqrt(102))*4)\/sqrt(6)) + -2.\nAnswer: -2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**3\/3 + 43*j**2 + 180*j + 1115. Factor y(i).\nAnswer: -2*(i - 45)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8522 is divided by 80?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 7*p = 2*p - 14, g = p + 6. Suppose g*k - 12 = -5*r, 3*r + 12 = 2*r - 4*k. Let q(h) = -h**2 + 3*h - 1. Calculate q(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 4:50 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -14. Let u(l) = -2*l + 24. Let r be u(10). Suppose r*x = h - 3, h + 3*x - 3 = -0. Solve d = -2*v - i, i + 4 = 3*v + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -68.96. Let k = 6.508 + -7.138. Let x = k + d. Round x to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 977143 > 977153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -5 (c) -1\/12 (d) -875\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 15*q**2 - 8*q - 453. What is h(17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101001110110 (base 2) to base 12.\nAnswer: 87b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*u + 4*a, 4*u + 6 = 2*a - 5*a. Calculate the common denominator of ((-4)\/(-54))\/((-10)\/(-1095) + u) and 4\/(-23)*2\/(-8).\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -3 - (-140)\/112. Let h = 199\/279 + -7\/9. Let z = -84\/341 - h. Which is the closest to -2? (a) 0.3 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10101296.\nAnswer: 2, 37, 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*d - 181. Let t = -96 + d. Suppose 5*k - 4*g - 28 - t = 0, 0 = k - 2*g - 25. What is k rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = s + 11*g + 13, -s + 3 = 2*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665732 is divided by 2020.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 23*s**5\/60 - 4*s**2 - 14. Let z(b) = -b**2. Calculate i(z(a)).\nAnswer: 23*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 318, -5\/4, 81, 2\/5, 0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32.814 and 21.2004673.\nAnswer: -11.6135327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59170173 and 177510519?\nAnswer: 177510519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -g + 3*c + 15, g = -5*c - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2581, -2428, -2049, -1330, -157?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 7, 3, -2, 2, 2535 in descending order.\nAnswer: 2535, 7, 3, 2, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**6\/10 - 9*d**5\/4 - 9*d**4\/2 + 16*d**3 + 1020*d. Let s(k) = 0. Calculate k.\nAnswer: -2, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-3 + -4 + (77 - 72))) + -47\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/3 + 955*b**4 + 254458*b**3\/3 + 1870820*b**2 - 5869784*b\/3 = 0.\nAnswer: -2774, -46, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/108 + (-68)\/18. Suppose -5*x - 12 = -4*x + 3*s, 0 = -x + 4*s + 16. Let t = x - c. Calculate the lowest common multiple of 3 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:47 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.513137 to one dp.\nAnswer: -145.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -70805*n + 283230. What is h(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.5, 0.04, -4, 3, -9\/70?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6, -2*z - m = -36 + 121. Suppose -5*r + 43 - 193 = 0. Let o = r - z. Are 12 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1 - v**2 + 0 + 6 + 13. Let n be a(0). Let m be -1*n\/(-6)*3. Solve 3*j - j = -m, o = -5*j - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705585543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 51*o**2 - 440*o + 171. What is k(-40)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -151461345 (base 7) to base 3\nAnswer: -200222020100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*2*sqrt(324))\/sqrt(9))\/(sqrt(432)*1*4 + sqrt(432)) + -3)**2.\nAnswer: 12*sqrt(3)\/5 + 237\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 32 = 76. Let h(n) = -n**2 + 17. Let y be h(o). Let u(x) = -3*x + 1. What is u(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 5*v - 5*v)*(-15*v**2 - 3 + 3) + (-3*v + 5*v + 0*v)*(0*v**2 - 3*v**2 + 5*v**2) - 2*v**3 + 6*v**3 - v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 2*b. Let i(u) = -2*u - 10. Let l be i(-7). Let n be g(l). Let f = n + -16. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {c: 3, d: 8, g: 7}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*t, 5*t = -r - 0*r. Let h(m) = -m**3 - 2*m**2 + m + 1. Let u be h(-2). Let q be u + (12 - (-1 + 3)). Solve -4*o + o - q = r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-76)\/57))\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22) + sqrt(22) + sqrt(110)\/(-1*sqrt(5)))*-2)\/(sqrt(288) - ((sqrt(288) - 3*4*sqrt(288)) + sqrt(288)))*-1)**2.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5634 or -700?\nAnswer: -700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, -11, -98, -261, -524, -911, -1446, -2153?\n\"Answer: -4*d**3 - 2*d**2 - d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < -0.502013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.074 to one dp.\nAnswer: 10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/21 and ((-303)\/(-72) - -2) + 0 + -1.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 - 184. Factor -263 - 14*z**2 + b*z**2 + 283.\nAnswer: -5*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000142854 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*q**2 - 1 + (2*q + 0 + 0)*(46*q - 5*q + 29*q).\nAnswer: 138*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -321, -330, -349, -384, -441?\n\"Answer: -i**3 + i**2 - 5*i - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -404, -1017, -1914, -3101?\nAnswer: -4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524982.2 centuries in years?\nAnswer: 52498220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x. Let a(y) = 1754*y**2 + 16*y - 3. What is a(j(c))?\nAnswer: 43850*c**2 - 80*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + y**2 - 6 + 0*y**2 - 5*y - y. Calculate k(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1169*u**4 + 1145*u**4 - 2337*u**4 + 2*u**4 - u**4 - 2*u**4 - 5*u**3 + (0 + 1 + 0)*(4 - 4 - 2*u**4) to c*u**2 + r + j*u**4 + i*u**3 + d*u and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 2, 5, -3, 72, 39 in descending order.\nAnswer: 72, 39, 5, 2, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1\/5) + -5. Solve b = -d + 1 + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.5 + -686.5. Let s = 713.000599 + q. Round s to five decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165 - -163. What is the smallest value in 1\/3, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.292 in -1, -8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 57014 = -5*c - 3*o, c - 28521 = -2*o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(18\/20))\/2. Let g(s) = -2*s**2 - 5*s - 5. Let f(v) = -v**2 - 3*v - 3. Determine k*f(w) + 3*g(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u + 4488 = 37*u. Solve -u*h + 128 + 268 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 1\/2*t**2 - 5*t - 5\/3*t**3 - 8. Let b(w) be the first derivative of z(w). Determine b(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {o: 1, w: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.354 + 0.646. What is the fourth smallest value in 1, w, -1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -2\/9 (c) 357426 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 98707466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h - 4161 - 23*h + 15*h as g*h + w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84*m**2 + 1856*m - 2114416 wrt m.\nAnswer: 168*m + 1856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 6*z - 6. Let m be j(4). Put m, 1, -3, 4 in descending order.\nAnswer: 4, m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336496?\nAnswer: 2, 21031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152\/3 or -50?\nAnswer: -152\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*r + 10, 5*r + 39*h - 25 = 40*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 2\/17, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/23)\/(-88 + -21 + 111)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*v = 0, 22 = 5*u - 2*u - 4*v. Solve 17*w + 35 = u*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 1. Let u(y) = y + 1. Suppose 3*q - 29 = 13. Suppose 2 = q*l - 15*l. Let g(h) = l*t(h) - 2*u(h). Let m(p) = 5*p. Give m(g(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 625831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -19, 4\/5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 39.7?\nAnswer: -436.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 1\/5, -0.2235, 1\/11?\nAnswer: -0.2235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 40*y + 2. Let t be k(-20). Solve 0 = -0*n + t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1301*j**2*u**2 + 1718*j**2 - 71*j*u - 11819*j - 32*u**2 wrt u.\nAnswer: -2602*j**2*u - 71*j - 64*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(96)\/(sqrt(16)\/sqrt(2))))\/((1*sqrt(30))\/sqrt(3) - 2*sqrt(1000)).\nAnswer: -sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3993 = 1602*u + 4100 - 19331 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66\/((-1)\/4*-4). Suppose -3*w = -w - x. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*d = -321*d + 10. What is the remainder when (-1 + (-211)\/d)\/((-184)\/368) is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0346 and 119?\nAnswer: -4.1174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -16. What is the common denominator of 71\/6 and (242\/165)\/(q\/(-21))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*r - 5309 + 5301 = 0, 2*r = 2*l + 4 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/3 + (-1)\/(-3) + -2. Determine j so that -34*j**3 - 30*j**3 + 4*j**z + 54*j**3 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6504 is divided by 2157.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25059 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: Convert -212010011112102 (base 3) to base 5.\nAnswer: -11121113442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let t(m) = 10*m - 4. Let u be t(5). Suppose 2*r = 5*p - 194, 6*r - 4*r - u = -p. Calculate the remainder when p is divided by d(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 21. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (1 + -1))*6. Let a be -2*3\/y - -1. What is the second derivative of -2*z**5 + 3*z + 5*z**5 - a*z**5 wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. What is the remainder when 23 + (-3 - -6 - a) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (0 - (5 + 10 + (-22 - -12))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*c = -245*c - 98 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8037527423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 6. Let o = -874.5 - -874. What is the nearest to -3\/2 in -1\/4, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5 - 1004*b**4\/3 + 334*b**3\/3 = 0.\nAnswer: 0, 1\/3, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50996 and 10004?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 0*a + 0*a)*(0*a + 0*a + a**2) + 2*a**4 + 160*a**2 - 161*a**2 - 84*a**2.\nAnswer: 4*a**4 - 85*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -16*k**2 + 7*k + 77. Let x(p) = 2*p**2 - p - 41. Let h(r) = d(r) + 2*x(r). What is h(2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Suppose -c*l - 10 = -4*l. Let y(m) = -l + 5 + m**2. Let z(j) = -7*j. Calculate z(y(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 + -124 - (2 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4*(-6)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -15. Suppose 4*h - 23 = -19. Calculate the highest common factor of i and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*f - 1771 = -90*f + 4471 + 106 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -38 + -1 - (3 - 2). Suppose 5 = 5*a, 2*a + a - 64 = -g. Let s = g + o. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + b = 11*d + 140, -3*d - 5*b + 418 = 0. Suppose -d = -7*i + 1756. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7211206ng in grams?\nAnswer: 0.0000000007211206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/6*34*(-6)\/(-153)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/3 - 54277366*t**3\/3 - 163668463963512*t**2 - 1480581914086749120800*t\/3 + 1480582405092195288704\/3.\nAnswer: -2*(t - 1)*(t + 9046228)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/32 - -3\/32. What is the common denominator of -61\/52 and y?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 190?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(1 + (-2)\/2). Let y = 2.25 + -0.25. Which is the smallest value? (a) f (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*q = 0, -61*p - 4*q = -63*p - 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*u - 1199 + 1381. Solve -u*l + 20 = 4*x, 5*l - l = -3*x + 30 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6 + 10. Suppose 2*n - i - 77 = 0, -5*n + 4*n + 40 = -2*i. Solve 4*p + 5*x = 6 - n, x = -4*p - d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*56\/(-210)*-5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -261*h**5\/10 - 2*h**4\/3 - 2*h**3 + h**2 - 4*h. Let z be w(-9). Round z to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-60) - 40\/(-25). Let f(h) be the second derivative of -2\/15*h**6 + 4*h + 0*h**2 - 3\/5*h**5 - 4\/3*h**3 + u*h**4 + 2\/21*h**7 + 0. Factor f(j).\nAnswer: 4*j*(j - 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.631469 millimeters in meters?\nAnswer: 0.003631469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3161015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-2\/3)\/((w*w**(-4\/5))\/(w*(w**6*w)\/w)))**(-1) assuming w is positive.\nAnswer: w**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4582, -10096, -15570, -21004?\n\"Answer: 20*c**2 - 5574*c + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -12. Let y(g) = g**3 + 4*g**2 - 8*g - 4. Let d(h) = -5*h + 27. What is the remainder when y(i) is divided by d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5220 - 3658. List the prime factors of c.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -68*k + 549, -4*k + 814*f - 830*f = 48 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrhrrrrr. What is prob of picking 2 r?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*v + 110*v**3 + 77*v + (0 + 0 + 2*v)*(-v**2 - 2*v**2 + 5*v**2) - 2*v**3 + 0*v**3 + 3*v**3 as g*v + n + y*v**2 + z*v**3 and give z.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2376 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1180, -1179, -1176, -1171?\n\"Answer: b**2 - 2*b - 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -1, 2.\nAnswer: -1, 2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 10) to base 9.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/26 + (-66867)\/532779?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 7, o: 2, h: 7}. What is prob of picking 1 c and 2 o?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488430085 to the power of 1\/2, to the nearest integer?\nAnswer: 59063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29341 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + 1?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -664*u**2 + 7367*u - 641. Calculate g(11).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -11, -4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(475)*-1 + 1 + -5 + -1)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94259322 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2020*o**3 - 1001*o**2 + 500*o**2 + 1721*o**3 + 501*o**2.\nAnswer: -299*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/26 - (-7 + (-10850)\/1638*-1). Factor 22\/9*f + s*f**3 - 4\/3*f**2 - 4\/3.\nAnswer: 2*(f - 3)*(f - 2)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 27*p - 88. Let r be j(-8). Let s = r + 317. Calculate the remainder when 166 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130202 - 2?\nAnswer: -130210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19827 and 9.\nAnswer: 19827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 59, -1\/3, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -322, -735, -1326, -2101, -3066, -4227?\n\"Answer: -h**3 - 80*h**2 + 6*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*l + 6 - 1 - 7)*(89*l**3 + 5729 - 5729) in the form k*l + w + t*l**4 + a*l**2 + v*l**3 and give t.\nAnswer: -2670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-2))\/(0 - 1). Let y = 12 + x. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 138885 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5062, 20246, 45564, 81016, 126602?\nAnswer: 182322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/416 and -61\/68?\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45254*l**4 + 250868*l**2 wrt l?\nAnswer: 1086096*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28852827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 - 4576*b - 40953. Give y(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 1:04 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-96))\/((-385)\/165)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10210000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 84953, 169908, 254865, 339824, 424785, 509748?\n\"Answer: r**2 + 84952*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -288 + 658. Suppose 0 = -15*k + 13*k + n. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278804 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*k + 4 + 30*k - 16*k to the form y + d*k and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517 divided by -4.\nAnswer: -517\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31876958 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 78, 70.6, -4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233 and 270755553.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 696916872?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*i + 11450 + 8008 = 0. What is the remainder when 189 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, a: 2}. Give prob of picking 1 a and 1 z.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*f = -9, -3*f - 9 = 2*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((3\/18)\/((-14)\/(-21))). Which is the biggest value? (a) -5 (b) 8\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 877*b - 1143. Is x(62) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 813, 892, 933, 924, 853?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6546488471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75833923.\nAnswer: 11, 17, 405529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 893364348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 3*n. What is k(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/2*(-2 + 76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 17, 67, 169, 341, 601?\n\"Answer: 3*v**3 - v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 10:47 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, 0.3, 20, 107, -1\/5?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -23*y**7\/42 - 13*y**5\/20 - 33*y**4\/2 - 967*y. Find the third derivative of c(q) wrt q.\nAnswer: -1380*q**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/70 + 3\/14. Solve -2\/5*w**2 + 0*w - c*w**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 + -2)) + 13 + -18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 9, x: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-89)\/4 - 1\/(-4). Let q = 6 - y. Calculate the remainder when q is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5562510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -6 + -29 + 28 - (-1 - 32) - -11\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 8:26 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 111. Put i, 0, -3 in ascending order.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/672)\/(-5*(-1)\/(-8))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -4, -6, -8, -10, -12?\n\"Answer: -2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 88 from 6.80153.\nAnswer: -81.19847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + g + 20. Suppose -41 - 151 = -g*j. Let q(y) = 6*y**2 - y - 1. Let d be q(-1). What is the greatest common divisor of j and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159422, 159374, 159326?\nAnswer: 159278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319269232?\nAnswer: 2, 197, 199, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-75)*15\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*y - 10 = 0. Suppose 4*h = -y*z + 3*z - 41, 4*z - 79 = -h. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) -3\/8 (c) -0.1 (d) 0.5 (e) 0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/306*4\/3.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-1*2)\/(-12*(-4)\/48)). Which is smaller: l or 20\/391?\nAnswer: 20\/391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.17 and 7.3.\nAnswer: 7.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-216)*(-5)\/((-105)\/(-18)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13*a**2 - 82*a + 3. Let g be x(-6). What is the highest common factor of 2781 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 18, -243, 2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*o + (0 + 1 + 0)*(3 - 3 - o) - 3 - 2*o + 3 + 57 + 10*o - 57)*(o**4 - 3*o**4 - o**4).\nAnswer: -27*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 553028 (base 13) to base 11\nAnswer: 1150071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + (-30720)\/(-840))*7\/(-3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26735, 26738, 26741?\n\"Answer: 3*j + 26732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 662.14 and -725.\nAnswer: -480051.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 7*i - 8. Let x be c(-6). Let v = 6 + x. Let j(p) = -p + 8. Let n be j(6). Solve -n*a - 19 + 0 = -5*f, v*a - 17 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -355, -1248, -2969, -5800?\n\"Answer: -47*y**3 + 9*y**2 - 45*y + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwvvwwwvv. What is prob of sequence ww?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(-2)*60\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**2 - 36*l + 35. Is m(27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*f = -f + 20, -3*i + 8 = -4*f. Put 1, i, -7 in descending order.\nAnswer: i, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 814926.6t to milligrams.\nAnswer: 814926600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23771 + -23767. Solve 9*m = -s + g*m + 10, 0 = -5*m + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/7 - 2763*c**2\/7 + 485566*c\/7 - 1897992\/7 = 0.\nAnswer: -2929, 4, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 8. Let h(v) = 4*v - 33. Let b(z) = -6*h(z) + 26*l(z). Let n be b(10). What is the tens digit of (-3)\/(-3) - (-1 - n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 0.2, 980336?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02241 < -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = 32. Let t = g + 12. Let x be 6\/t + 1395\/75. What is the greatest common factor of 48 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1067497600 by 8710.\nAnswer: 122560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1732d8 + 5?\nAnswer: -1732d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = 0, z = -2*z - 4*l + 16. Suppose z = 24*p - 11*p. What is the tens digit of p - ((-9)\/18)\/(2\/232)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 1285489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 0 (c) 5 (d) 1\/6 (e) 10717.8 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 22*l**2 + 40*l - 26. Give c(18).\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*q**3 + 965*q - 476*q**3 - 965*q + 957*q**3.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x - 1. Let v = 92 + -91. Let h(u) = -5*u**2 + u + 6. Let y(r) = -5*r**2 + 5. Let p(b) = -2*h(b) + 3*y(b). Give v*p(s) + 4*l(s).\nAnswer: -s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 1d8f?\nAnswer: -1d95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(2*x**4 - 2*x**4 - 2*x**4) - x**4 - 2*x**4 + 5*x**4 + 23738*x**2 - 44*x**4 - 23738*x**2 - 2.\nAnswer: -38*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from dyjrjyyjydz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m + 33. Let r be b(4). Let v = 1 + -2. What is the closest to v in 4, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 556 and 9.6.\nAnswer: 5337.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/4 (b) -0.5 (c) -2\/35 (d) 28\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 9, -0.3, 1, -19, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-24)*6*(-8)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -97*z**7\/42 - z**4\/12 - 443*z**3\/6 - 85*z. What is the second derivative of k(o) wrt o?\nAnswer: -1940*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62348 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4180716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 0. Let v = 0.6 + -0.1. Let k be 8\/(-32) - 2\/24. Which is the biggest value? (a) v (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/5, -8 in ascending order.\nAnswer: -8, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 1}. What is prob of picking 1 p and 1 f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 5*g - 685. Let q = g - 14. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 73 = 52. Let q(t) = -38*t**3 - 10*t. Let a(b) = -13*b**3 - 3*b. Calculate s*q(v) + 10*a(v).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -503. Let t(x) = x + 2012. Let c(d) = -2*t(d) - 9*z(d). Let j(o) = o**2 - 6*o. Let s be j(6). Is c(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3014300 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*g = -26, -g - 21 = -p - 7. Let m(o) = 0*o**2 - 3*o + p - 7*o + 0*o + o**2. What is m(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 10:00 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60121*u**3 - 60455*u**3 + 120552*u**3.\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:37 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4825 and 2509?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -184 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbbbfbbf. Give prob of sequence bbf.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 11*y - 16. Let a be b(-9). Let d be 0\/a + -4 + -3. Is (-8)\/56 - 1870\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(2\/1) - -2. Let u(k) = -3*k + 6*k + 1 - 1. Suppose 3*n - 15 = -3. Let j(h) = -2*h. What is n*u(b) + v*j(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 273481830.5999667 - 273481780. Let w = 34.89 - 85.49. Let r = m + w. Round r to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 124, 328, 532?\n\"Answer: 204*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/25*(-5)\/(-2). Suppose -3*i - 14 = -7*r + s*r, 4*i = 2*r. Let a(j) = 3*j**3 + 4*j**2 + 6. Let p(g) = -7*g**3 - 9*g**2 - 13. Give r*p(x) + 9*a(x).\nAnswer: -x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/10)*(d\/d**(3\/5))\/d*d\/((d*d\/d**(-14)*d)\/d)*d*d**(-29)*d assuming d is positive.\nAnswer: d**(-427\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 6:57 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 5984066*y - 8952261473089.\nAnswer: -(y + 2992033)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189477218.\nAnswer: 2, 3, 1181, 167863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5 + 4 - 9 + 2*c. Let t(d) = -d. Let w(g) = -3*g. Let y(f) = -2*t(f) + w(f). Give q(y(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -s - 8. Suppose -3*o + 0*u = -s*u + 27, -26 = 2*o - 4*u. Is o bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i - 5. Let r = -2 + 3. Let k be (1 - r - 0) + -1. Let o = k + 6. Determine x(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 10*w**2 + 11*w - 18. Let m be o(9). Let k(h) = -h + 209. Let n be k(m). Suppose -3*y + n = -4*z, -2*y + 3*y = z + 69. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + 51?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/2152?\nAnswer: -3\/2152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-3)\/24*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3912245969?\nAnswer: 3912245969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/10)\/(5\/120))\/(2*(-5)\/75)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1485, 5883, 13217, 23499, 36741, 52955, 72153, 94347?\nAnswer: 119549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -176356, -705428, -1587218, -2821726, -4408952, -6348896?\n\"Answer: -176359*n**2 + 5*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 8*r + 10)*(5*r**3 - 6*r**3 + 2*r**3)*(-3*r - 2*r + 3*r).\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2170 - 1876 = 19*x + 2*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 92*t**2 + 26*t + 101. Let m(z) = -46*z**2 - 14*z - 56. Determine 9*m(j) + 5*y(j).\nAnswer: 46*j**2 + 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - s + 60. Suppose 0 = a - 3*a + s. Calculate the lowest common multiple of (0 - (-174)\/24) + 9\/12 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331*d*j**5*k + 3*d*j*k**3 - d*j*k**2 - 2*d*j + 4*j**3*k**3 - 2*k**3 wrt j?\nAnswer: -6620*d*j**3*k + 24*j*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2699\/3 - 881. Suppose -g = -p - 2*g + 566, -2269 = -4*p - 3*g. Let n = p - 2349\/4. What is the common denominator of n and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1644 and 23\/640749.\nAnswer: 2562996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 68*z**2 + 782*z + 614. Give a(53).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1288 = -2*j - 4*k, -2036 = -4*j + 2*k + 590. Calculate the smallest common multiple of j and 60.\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-78)\/(-13)*-1))\/((-10)\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44480319.\nAnswer: 3, 13, 31, 36791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 84. Suppose 2*y = -f*y + 305. Suppose -187 = -9*h - y. Calculate the greatest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d4 - -3d1?\nAnswer: 4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 591571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937896 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 203770260 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2235.4 - -2235. What is the fourth smallest value in -10\/9, -1, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + c + 3*c)*(-239 + 31*c**2 - 34*c**2 - 277)*(-c + 4*c - 2*c) to the form b*c + v*c**3 + x*c**4 + s + h*c**2 and give h.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 4*k**2 + 22*k + 50. Let o(b) = 2*b**3 - 3*b**2 + 20*b + 50. Calculate 3*j(d) - 4*o(d).\nAnswer: -2*d**3 - 14*d - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 12.594?\nAnswer: 12.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/207575 and -74\/6555.\nAnswer: 622725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10140914, -10140909, -10140904, -10140899, -10140894, -10140889?\n\"Answer: 5*m - 10140919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 86712.67 days?\nAnswer: 124866244.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 8*c**5\/25 + 17*c**4\/10 + 16*c**3\/5 + 13*c**2\/5 + 4*c\/5 - 12. Solve a(b) = 0 for b.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.8502cm in nanometers?\nAnswer: 2178502000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134659 divided by 3.\nAnswer: 134659\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8*f - 21 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2\/(-5) + 2710\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k**2\/k)\/k)))\/(k\/(k*k**2\/k)*k))\/(k**(1\/4)*k*k\/(k**1\/k)*k*k*k) assuming k is positive.\nAnswer: k**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 176934*h**2 + 1061676*h.\nAnswer: -2*h*(h - 6)*(h + 88473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x = -6*x + 49*x + 340 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.29? (a) 545 (b) -0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 - -11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 5*p**5 + p**5 + 2*p**5 - 2*p**5 + p**5 + (p**4 - 2*p**3 + 2*p**3)*(-1879 - 16*p + 1879).\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.998 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.55 + -1.6. Let k = -416\/12593 + -2\/257. Is k > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s**2 - 21*s**2 - 6*s - 3*s)*(-4*s**2 + 0*s**2 - s**2) + (3 - 3 + s**2)*(s**2 - 4*s**2 + 2*s**2).\nAnswer: 9*s**4 + 45*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 0.2 (c) 5 (d) 20.9 (e) 1256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1825388, 1825385, 1825382, 1825379, 1825376?\n\"Answer: -3*g + 1825391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 33 - 7)*(0*k + 20*k - 40*k) in the form p*k + w and give p.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3038 or 233?\nAnswer: 3038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q + 2. Suppose -18*w + 2784 = 156*w. Let s(x) = -30*x + 10. Give w*a(g) - 3*s(g).\nAnswer: -6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 25*l + 107 = 0. List the prime factors of l.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 7)*(2*o**2 + 0*o + 0*o) + 3 - o**2 - 3 - 50 + 50 - 8*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.8 - 32346446.\nAnswer: -32346474.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) -0.3 (c) 3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62648 and 7380.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(132)\/sqrt(4)*-4 - sqrt(33) - sqrt(33) - sqrt(33))\/(sqrt(30)\/(-2*sqrt(10))).\nAnswer: 2 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(405) + -1 - sqrt(405)) + sqrt(405)) - sqrt(405)) + (-1 + sqrt(405))*-3)**2 + (sqrt(180) + sqrt(180)*1 + 4)**2*1 + 4.\nAnswer: 60*sqrt(5) + 2361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2 - 4. Put -5, 0, g in increasing order.\nAnswer: -5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwm when three letters picked without replacement from mmmmmmmwwmmm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 23*y**3 + 4*y**3.\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -9.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -1901 + 1781. Let x be (-9)\/(1\/(-3) + 0). Let a = x - t. Solve a = -5*y + i, 3*y - 3*i + 5 = -4*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 389 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y = -40*y + 2017655 + 2498345. Round y to the nearest ten thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 3*c**2 - 3682 - 3*c**2 + 3682.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 2. Let q = -46 - -22. Let p = q + 22. Let a(l) = l**3 - l - 1. Let f be 3 + (2 - 8\/2). What is f*z(i) + p*a(i)?\nAnswer: -2*i**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 34 + 5*q**3 - 45.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -9\/76 (c) 0.248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288610623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2396579152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -465640*t**2. Let i(b) = 3*b**2. Give a(i(h)).\nAnswer: -4190760*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 188*z\/5 + 38.\nAnswer: -2*(z - 1)*(z + 95)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*f - 74*f - 53*f)*(0*f + 4*f - 3*f) - 2*f**2 + f**2 + 2*f**2)*(2*f - 2*f + 13*f) to n + b*f + x*f**2 + g*f**3 and give g.\nAnswer: -1703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 141. Let y = -57 - w. Suppose 17 = 5*n - y*c - 143, -c = -2*n + 69. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -384*y + 6490. Calculate h(16).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*o = -179*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 1.9 (c) 1\/4 (d) -2\/11 (e) 47.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76287 (base 11) in base 9?\nAnswer: -178002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.619 + -2.619. What is the smallest value in z, 1, -2\/245?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227817 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - -0.15. Let k = x + -0.108. What is k rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*t - 1 + 32*t**2 - t**4 + 6*t**3 - 3 - 19*t**2 - 26*t**2.\nAnswer: -(t - 2)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.232 - -2.1177. Let z = 100.2857 - o. Let b = 91 - z. Round b to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + 2*l + (0 + 3 - 2)*(-915 + 9*l + 915)*(-1 + 1 + 2))*(-5*l + 4*l + 3*l).\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 + 33?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 9) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31152 and 12672.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 36\/27 - (-10)\/(-120)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 178144*b*j**3 - 3*b*j*w + 169*j**3*w - 2614*j*w wrt b.\nAnswer: 178144*j**3 - 3*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fvveevefeevvevvvv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 + 12*y**4 + 72*y**3 + 80*y**2.\nAnswer: -2*y**2*(y - 10)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3*(f\/((f\/((f*f\/(f\/f**(-1)))\/f))\/f))\/f*f*((f**(2\/13)*f)\/f)**(-31) assuming f is positive.\nAnswer: f**(-23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277097 = 107*f - 452536. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**0*d)*d\/d**(-5)*(d**(-2\/9))**6)\/((d*d*(d\/(d*d\/d**(1\/2)))\/d)**(3\/14))**(2\/31) assuming d is positive.\nAnswer: d**(4765\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b50 - 1?\nAnswer: 7b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*-1 + (sqrt(135) - (sqrt(135)*1 + sqrt(135) + sqrt(135) - sqrt(135))))\/((-1*sqrt(720))\/(sqrt(45)\/(sqrt(15)\/sqrt(3))))*2.\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**2 + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2763*x**4 + 2*x**3 - 2*x - 47135 with respect to x.\nAnswer: 11052*x**3 + 6*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((4\/(-8))\/(1\/(-2))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002091 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 31. Let r be (-3)\/(-1) + x\/(-5). Let f be (0\/1)\/((-4)\/(-2)). What is the third biggest value in r, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/21 and (3\/54)\/(28\/258).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 - (13 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 + 57 - 2*k**2 - 115 as d*k**2 + i + x*k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 23 - 14 - 523*s**2 + 252*s**2 + 267*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -188.560879 to the nearest integer.\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5)*(-12 - -2). Find the second derivative of 2*h + 0*h**4 - h**4 + 0*h + 4*h**o wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 3*h + 7. Let j be l(0). Suppose -j*c + 38523 = 9046. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2098.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2563, 329, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 183263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)*c)\/(c**(1\/5)*c)*(c\/c**3)**18 assuming c is positive.\nAnswer: c**(-533\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 520?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 5*n + 6, 5*n = -3*g - 490 + 488 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.21, -2\/21, -2\/19, -2\/7.\nAnswer: -2\/3, -2\/7, -2\/19, -2\/21, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15625129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqxmjx. Give prob of sequence mj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342961875 + 4*h + 342961875.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Let t(d) = 4*d**z + 0*d**2 + 0*d**2 - 3*d**2. Let u(m) = 2*m. What is u(t(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20855.\nAnswer: 5, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 10. Let s = b - 6.8. Let d = -0.6 + s. Sort 1\/4, 2\/9, d in ascending order.\nAnswer: d, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 595.04 - 608. Let j = g - -13. Let a = j + -0.036. Round a to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 11*j**4\/24 + 2*j**2. Let c(v) = 2956 - 2956 - v. Determine m(c(z)).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3003, 4, 3, 8, 2 in decreasing order.\nAnswer: 3003, 8, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n - 26. Let i(h) = -3*h - 13. Let f(k) = -9*i(k) + 4*y(k). Does 6 divide f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxnn when four letters picked without replacement from {n: 13, x: 3}.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 5*g + 5*c, -g = 4*g - 2*c - 213. Let a = -39 + g. Suppose 2*q = -0*q - 5*l - 31, a*l - 5 = 5*q. Sort q, 1, 3 in decreasing order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 247279729 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - -6*-2*sqrt(99)) + sqrt(99) + (sqrt(99) + (sqrt(99) - -2*sqrt(99)))*2)\/(3*1*sqrt(1296) + sqrt(1296) + (sqrt(1296) + 2*sqrt(1296))*-1).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 37*u**6\/3 - 4*u**5\/5 + u**4 - 174*u**3 + 5334. What is the third derivative of p(r) wrt r?\nAnswer: 4440*r**2 - 96*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(448)*1)*-6)**2 + (1 + sqrt(567)\/sqrt(9))**2*6.\nAnswer: 1188*sqrt(7) + 16656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -3 (c) 1\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + b + 25 = 2*b, -5*v - 105 = -b. Let g = 40 + v. What is the smallest common multiple of g and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44799 and 545.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2449 and 1129361?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y - 18. Let z(v) be the first derivative of -7*v**2\/2 + 17*v - 4374. What is 6*t(o) + 7*z(o)?\nAnswer: -o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 0.1. Which is the second smallest value? (a) -3\/2 (b) -0.3 (c) p (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*w - 126*w = -12*n + 53, -w - 3*n = 16 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/6)\/((-15)\/(-198460)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/47 and 3\/34?\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**2 + 440 + 588 - 22*d**2 - d**3 - 327.\nAnswer: -d**3 + 701","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:31 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/15*10\/4. Let p = 4 - j. What is the lowest common multiple of 8 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19956033 rounded to the nearest one hundred thousand?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3182259327 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1506, 3032, 4548, 6048, 7526, 8976?\nAnswer: 10392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3\/5, 1, 10.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-11)\/(-88)*(2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 - h**2. Calculate p(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - m - 95, 3*m - 51 = 5*p + 126. Suppose 2*q + 118 = -4*o, -o - 5*q - 9 = -2. Which is greater: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3322192?\nAnswer: 2, 89, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 3) + (-2)\/1. Which is bigger: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 - -443. Does 40 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17951927 or -0.1?\nAnswer: 17951927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78944 and 20.\nAnswer: 394720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/9 and 89\/5111366.\nAnswer: 46002294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, -0.4, -2\/15, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 7*k**2 + 15*k + 36. What is l(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013198 rounded to 7 decimal places?\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let z be 2*(1\/((-2)\/i) - -1). Is -20\/11 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 8*p**2 - 3*p + 4. Let k be s(8). Let d = k + 25. Suppose 0 = -d*q + 839 + 1066. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - -0.8. Let s = v + 0.1. Let i be 3\/(-2*9\/(-12)). What is the nearest to i in 0.5, s, -4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.1 + 2.8. Let l = h + 0.98. Let x = -0.114 - l. Round x to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 6, -56373, -1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -16*t**3 - t**2 + 26*t - 2. What are the prime factors of c(-4)?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -47, 7 in descending order.\nAnswer: 7, 2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r - 13. Let f be w(-1). Let p(y) be the third derivative of 1\/2*y**3 - 2*y**2 + 0 + 1\/8*y**4 + 0*y. What is p(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyiiydiyigyyyyygyy. Give prob of picking 1 i and 1 g.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52197021 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*b = -228, -3*b + 11 = -3*v - 217. Let c = v - -70. Let p be (-9)\/(-6) + c\/4. Solve 5*z + 2*k + 23 = p, 0 = 4*z + 2*k + 18 - 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(1 + -1). Suppose -f + 5 = -q*f. Let o = -1 + f. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 89*w - 544. Calculate x(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2591.219 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389724 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.7628 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 3*n**2 + 525 - 272.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1080) - (sqrt(1080) + sqrt(1080)*-1)*-4 - 5*(sqrt(1080) + sqrt(1080)*1))\/(-4*sqrt(30)\/(sqrt(245)*-2)))**2.\nAnswer: 4465125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211600779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 20*z - 292. Calculate the remainder when 73 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -318, -471, -626, -789, -966?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 557 + 557.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 6 = -5*v, -z - z = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 4, 5*i + 51 = -v + 39 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -391, -152, 95, 350, 613?\n\"Answer: 4*h**2 + 227*h - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12351723 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + b - 1. Let a(j) = j - 1. Let v(u) = 2*a(u) - 2*w(u). Let l(y) be the first derivative of 0*y - 10\/3*y**3 + 0*y**2 + 22. Calculate l(v(q)).\nAnswer: -40*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/6 - 37*w**3\/3 + 123*w**2\/2 + 14*w. Differentiate c(n) wrt n.\nAnswer: -4*n - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -862.711 - -862.7. Is 5\/6 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 + 4.7. Let b = 2.499924 - p. What is b rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -191*b - 13 + 191*b + 39*b**4 wrt b.\nAnswer: 156*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -1\/3*w**3 - 3\/2*w**2 + 7*w + 16. Determine r(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -723, -798, -881, -972?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 447 - 2234\/5. Sort -26, r, 4 in decreasing order.\nAnswer: 4, r, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*p = -2*p, -4*n + p - 12 = 0. Let x = n - -8. Let j = -12 - -22. Calculate the smallest common multiple of j and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -572 (b) 0 (c) 25 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3)*-102*(65\/(-8) + 8). Solve -5*y - 3*m = n, 3*y = 6*y - m + 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - ((-2 - 3) + 4)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/10)\/(4\/(-80)*-12). Let g be (4\/(-6))\/(77\/63). What is the third biggest value in 0.5, g, d, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4058588715?\nAnswer: 3, 5, 29, 9330089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/30 and -19\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5438880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*z, 556 = -q + 47*z - 43*z. Which is bigger: -565 or q?\nAnswer: -565","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 2:04 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(10\/7)*u)\/(u*u\/(u*u**9*u)*u)*(u**(-1\/3))**(20\/7) assuming u is positive.\nAnswer: u**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 1456 = 181. Suppose -2*o - o = 4*i - 239, 0 = -i + 2. Let b = o - a. What is the smallest common multiple of 4 and b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 4*x**2 - 6*x + 11. Let o be t(5). Let a(z) = 300001*z**2 - 7*z + 6. Let l be a(o). Round l to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5078505 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 10 + 5\/6*j**3 - 3\/2*j**2 - j + 1\/20*j**5 + 7\/12*j**4. Calculate m(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.680084199 rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j + 2. Let p(m) = -8*m + 2. Calculate -5*n(l) + 4*p(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56663 and -1.\nAnswer: 56663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide (138\/7)\/((-126)\/(-41517)) + 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 - 4*i**2 - 5*i**2 - 4*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 10*q - 16. Suppose 0*b - 3 = -3*b. Calculate the remainder when q is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 12. Let a(p) = -2*p - 8. Determine 7*a(j) + 5*x(j).\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - 68. What is x rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 take away -122?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 235 = -5*k, 4*n - 9*k + 7*k = -66 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 4:24 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13462036 (base 8) to base 4.\nAnswer: -23212100132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1554\/(-666) + 1792\/(-24)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56641 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r + 1. Suppose -2*q + 12 = q. Suppose -q*f - f = 5. Which is the nearest to f? (a) -2\/3 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1345086*c - 2054\/15*c**3 + 4\/15*c**4 + 3333474\/5 + 117306\/5*c**2.\nAnswer: 2*(c - 171)**3*(2*c - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15419, 30840, 46261, 61682?\n\"Answer: 15421*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3567 = -25659. Suppose -z = -11*f - 1503. What are the prime factors of f?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 628 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a - 20 = 0. Suppose -4*m = -a, -2*z - 3*z - 4*m + 24 = 0. Suppose -z*w + 213 = -27. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.0329 - 7.0329. Let n = -1 + 2. Let b = 0 + n. Put 0.04, c, -1\/8, b in increasing order.\nAnswer: c, -1\/8, 0.04, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20\/7 (b) 0.07 (c) 10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -2, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 11 = -4*b + u, u - 47 = 5*b. Is -8 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4 + 6*x**3 + 6*x**2 - 22*x + 12 = 0?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.042 and 24.9?\nAnswer: 1.0458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1035000121 (base 6) to base 10\nAnswer: 11150833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + 2. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4193003899.\nAnswer: 7, 2713, 220789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*u - 6*u + 51, -3*u + 2*d = -39. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 100984 = -j + 43418, 0 = -g + 5*j + 36132. List the prime factors of g.\nAnswer: 2, 3, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -n + 13 - 1, 0 = 5*n + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -8. Let g be ((-6)\/(-4))\/(3\/z). Let x = -102 + 1124\/11. Which is the biggest value? (a) x (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 6.7. Let u(m) = -2*m - 20*m - 2*m - 19 - m**2 - 70 + 0. Let w be u(-19). What is the fourth smallest value in w, -0.4, 3\/5, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -657 - -680. Which is the second smallest value? (a) -5\/7 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 18*c**2 + c + 148*c**2 + 50)*(-2*c**2 - 2 + 2).\nAnswer: -332*c**4 - 2*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -856 - 17*m + 15*m**2 + 20*m + 32*m + 1073. Is q(-43) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 903 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3167130?\nAnswer: 2, 3, 5, 193, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13188673*r**3*z**3 - 423833*r**3*z - 27*r**2*z**2 - 2*z**4 wrt z?\nAnswer: -79132038*r**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11832*i**4 - 89140*i**2 wrt i?\nAnswer: 283968*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362529 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46769*c**2*l - 93*c**2 + 14*c - 2883*l + 2722 with respect to l.\nAnswer: -46769*c**2 - 2883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.2. Put 3\/8, r, 1 in decreasing order.\nAnswer: 1, 3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/4 + (61\/4)\/1. Suppose 5*k = -2*q + j, k - 3 = -2*q + 29. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-11)\/66*-52)\/(16\/(-24)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/(-9)*(-12)\/4. Which is the biggest value? (a) 1\/5 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144146632 and 392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204098861 and 39944.\nAnswer: 4993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5387196 millilitres in litres?\nAnswer: 0.0005387196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.869 + 0.831. Let z = o - -0.3. Let j = -30.3 + z. Round j to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {v: 3, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50209*d + 21177 wrt d?\nAnswer: -50209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*k - 29, 5*m + 18 = -k + 5. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6 = -2*m, 0 = -m - 3*i - i - 3. Let v be ((3 + 1)\/4)\/m. Solve 3*g - v = 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 233, 247, 271, 305, 349, 403?\n\"Answer: 5*b**2 - b + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, d: 2, g: 3}. What is prob of picking 4 s?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egnfxffnfxfennff. Give prob of sequence exnn.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2756*m = -6*h + 2752*m - 10, -5*m - 18 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, s: 2, u: 1, c: 2, y: 4}. Give prob of sequence yub.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/(-30))\/(1357\/(-20355))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/22 + (-6)\/(-33). Let b be (-3)\/o*(-2)\/3. Let t be -3*b\/(9\/(-24)). What is the highest common factor of 40 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18350932 or 18350952?\nAnswer: 18350952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, -7, -2, 9 in increasing order.\nAnswer: -7, -2, 0, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3544.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2934 = 3*h, 6*h - 4890 = h + 2*w. Suppose -8*g + 4*g + c = -h, 5*g = -2*c + 1229. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 143 and -1.08472.\nAnswer: -155.11496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(52))**2 + 1 - sqrt(13)) + 3 - (3*-3*sqrt(208))**2) + -3.\nAnswer: -16795 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {x: 2, e: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(91) - ((sqrt(91) - (sqrt(91) + (sqrt(91) - (sqrt(91)*2*-6 + sqrt(91))))) + sqrt(91) + sqrt(91))))\/((sqrt(63)*2)\/sqrt(9)*-1).\nAnswer: -55*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 771.\nAnswer: -771.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -881.921 and -0.2.\nAnswer: 176.3842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2\/7 + 1388*c\/7 + 48618\/7 = 0?\nAnswer: -657, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 3. Let l(f) = f - 5. Let w be l(z). Let s = -3 - -3.1. What is the closest to w in 0.3, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151668934 to the power of 1\/3, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 6489*w**5\/160 - 323*w**4\/16 + w**3\/2 + 9218*w. Factor t(o).\nAnswer: 3*o*(7*o - 2)*(309*o - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + 5)*2*-1 - ((sqrt(2057) + sqrt(2057)*2 + -1)*-3)**2.\nAnswer: -166636 + 592*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12030 is divided by 401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -6735*h**7\/7 - 2*h**3\/3 - h**2 - 161*h - 6253. What is the third derivative of l(p) wrt p?\nAnswer: -808200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46087?\nAnswer: 17, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1099 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 0.13. Round w to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - 4*sqrt(78))*5)\/sqrt(6).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/(-10))\/180)\/(45\/(-150))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 703*k - 4871 + 14713 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13207 = -5350*c - 16822 + 53263 + 35952 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1624*a - 2*a**3 - 551*a - 527*a - 43*a**2 - 548*a + 764 with respect to a.\nAnswer: -6*a**2 - 86*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Solve -5*y - 6 = -q*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/3 (b) -0.5 (c) -10\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 18*m - 236. Let l(j) = -400*j + 5190. Calculate 45*d(p) + 2*l(p).\nAnswer: 10*p - 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*i - 204, -5*i + 14*p = 19*p - 505. Suppose 2*l - i = -5*u, -49 = -3*u + 4*l + 18. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137993.4858 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*y + 6. Let g = -2 + y. Suppose 0*j + 4*j = g. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 767232310 + -5?\nAnswer: 767232304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = -186*u - 2808 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 214705.37.\nAnswer: 644116.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*y + 2*y - 4, 6 = 5*y - 3*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 36. What are the prime factors of (z + 9 + -4)*39?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 1\/2*x**2 - 5 + 0*x. Let o(y) = 24*y. Determine z(o(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 1, e: 1, u: 1}. Give prob of sequence uza.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 943 = -3*h, 3*h = 8*h - 3*v - 1577. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15031?\nAnswer: 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004312 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 48 + -82 - (-7 + 0 + -1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 105 = -135. Let q be y\/(-54) + 2\/(-9). Suppose -s - 2 = -2*s + q*o, -2*s + 4 = 3*o. Solve -d - 5*v = -8, s*d + d + 16 = 5*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*8\/(-80) + (-4)\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3586 is divided by 1194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - k**2 + 39*k + 237. Calculate o(-10).\nAnswer: -2253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17299097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -9*i, 2*x - 5*i + 10 = 0. Let q(t) be the third derivative of t**6\/120 + t**5\/10 + t**4\/8 - t**3\/2 - 11*t**2. Give q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**5\/60 - o**4\/8 + o**3\/6 - 6*o**2. Give y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 p when four letters picked without replacement from ccgccgcpcgppccccgc.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 3*w - 0*m, 2*m = 3*w - 4. Suppose f = 2*f + 1. Let q be f - -2 - 12\/15. What is the nearest to 1 in -2\/9, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 - 3*d**2 + 0*d**2 - d**2. Let a(m) be the second derivative of -83*m**4\/6 - m + 419. Give g(a(r)).\nAnswer: 55112*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -2. Let p = n - -1. Let u = -7.7 - -8. Is u not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**3 - 2*m**2 + 4*m**4 + 2*m - 3*m**4 + 2*m**3 - 4*m**3 + m in the form g*m**2 + o*m**4 + l*m**3 + z + b*m and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1956.803l?\nAnswer: 1956803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 114, 535, 1578, 3555, 6778, 11559?\n\"Answer: 52*i**3 - i**2 + 60*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/7)\/(1\/(-2)*4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*u - 1608 = 0, -305 + 1389 = 2*j + 2*u. List the prime factors of j.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/60 - 109*t**3\/5 - 106929*t**2\/10 - 59*t. Solve o(q) = 0.\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -2*x**3\/3 + 18*x**2 + 1384*x. Give r(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p - 486 = -45*p. Let o be ((-126)\/24)\/((-2)\/(-16)). Let y = o - p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + -1 + -1 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*u**5 + 76*u**4 + 44*u**3 - 12*u**2 = 0. Calculate u.\nAnswer: -3, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*j = 3*t - 156, 5*t - 435 = j. What is the remainder when t is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5 - 22*n**4 + 30*n**3 + 10*n**2 - 34*n + 12 = 0. What is n?\nAnswer: -1, 1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-27)*-6*24\/(-720).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*99\/(-308))\/(1\/(-25)*15\/4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x. Let t(i) = -16*i**2 + 30*i**2 - 17*i**2. Calculate n(t(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 + 1393\/6. Let f = 0.04 - 0.54. Which is the second smallest value? (a) j (b) -1 (c) 2\/13 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 404254 - 404249. Let q = 40.7 + -0.7. What is the biggest value in b, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219 + 776. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a factor of 7968436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2098.864um in kilometers?\nAnswer: 0.000002098864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368740 is divided by 13657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614 - 1002 - 94 = 19*g + 152*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.234 + 5.234. Let v be ((8 - 1) + -9)\/4. What is the biggest value in v, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {q: 4, u: 3, z: 7}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {e: 4, i: 1, p: 2, y: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1384 (base 13) in base 3?\nAnswer: -10212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8441 is divided by 2755.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpdd when four letters picked without replacement from ygddpdbbddddydygd.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111001100001001 (base 2) to base 13.\nAnswer: -34307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 583?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4*p - 24*h*p**3 + 205*p**3 wrt h.\nAnswer: 4*h**3*p - 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 876 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + 0 + -9 + 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*k + 13590, k - 5645 = 3*s - 1127. What are the prime factors of k?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 371 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1547.8 + -1554.8. Which is the third biggest value? (a) -2\/113 (b) -2 (c) -2\/9 (d) p (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)*0\/1. Let g be (s - 1)\/((-2)\/(-8)). Let u be ((-15)\/g)\/((-9)\/(-24)). What is the greatest common divisor of u and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8521*j - 10647*j = 728384 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 82. Let r = 60 - d. Let i(t) = -t**3 - 4*t**2 - t + 1. What is i(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 35*b**3 + 18*b**2 - 558*b + 540. Determine k(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636.7556km to nanometers.\nAnswer: 636755600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -89c493 + -3?\nAnswer: -89c496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (0 - 12 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25080 and 100320?\nAnswer: 100320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) + (-158)\/79 + 3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65.999766 + 66. What is y rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/(-63))\/(1\/9))\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -0*p - 12*p. Let n be (-2 + 4)*4 - p. Suppose -11*b + 126 = n*b. Calculate the highest common divisor of b and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*c - 5*c. Suppose f = -o + c*o - 65, 4*o - 110 = -2*f. Suppose -o = -5*r - 3*a, a - 7 = -2. Solve 7 = 4*z - 3*j, z + r*j + 2*j = -27 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 take away 18.8994668396?\nAnswer: -20.2994668396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00451 * -0.4.\nAnswer: 0.001804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 2. Let p be n(2). Let m(c) = c**2 + c - 6. Let g be m(0). Let b be (g\/4)\/(3\/(-10)). Solve b*h + 4*s = -1, 3*h + 2 = 5*s - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 19. Let x = j + -6. Solve -4*i - x*k = -7*k - 28, -3*k = -i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/19 + 234*m**3\/19 - 232*m**2\/19.\nAnswer: -2*m**2*(m - 116)*(m - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -73, -122, -171?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 730772.11 rounded to the nearest 1000?\nAnswer: 731000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q**3 + 3*q**2 + 4*q + 1. Let y be f(-6). Suppose 6*c + y = 7093. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 50. Suppose 4*r - 9 = t - 29, 3*r = -j*t. Let k be (-6)\/t*32\/12. What is the smallest value in -2\/7, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from eexuxoomemoxrm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7836.878 micrometers to kilometers.\nAnswer: 0.000007836878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umu when three letters picked without replacement from {u: 2, z: 1, v: 1, m: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-67)\/(-5) - (-8)\/(-20). Let r = -7 + m. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/19)*d*d*d*(d*d\/(d\/(d**(-2\/15)*d)))\/d*d assuming d is positive.\nAnswer: d**(1417\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-106)\/6*99\/(-33) is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 199585072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*d + 79*d = -195*d - 17220 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-319)\/348*-12*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10604933\/130 + 81576. Let j = l - -1\/130. Let g(y) = 2*y - 26. Let f be g(12). Put 1\/4, f, j in descending order.\nAnswer: 1\/4, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 9*b**2 - 3*b - 5. Let d be t(-9). What is the remainder when 2*(-6)\/(-12)*3*d is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {n: 2, b: 2, i: 1, v: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1499 <= -2576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/4)\/((-7)\/28). Let c(j) = 18 - 4 + m*j + 0 - 3. Give c(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 - 18*s - 10. Give p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**4 + 4740*k**3 - 9505*k**2 - 4740*k + 9500 = 0.\nAnswer: -950, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 12*y**2 + 14 + 5*y**4 - 7*y**4)*(-6 + 1 + 3) to o*y**4 + r*y**2 + z*y + f*y**3 + n and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Suppose 0 = -2*u + v*u - 2. Suppose 4*x = 5 - u. Calculate the remainder when 1 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 4*v**2 + 979*v**3 - 177*v**3.\nAnswer: 802*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*f - 18*r + 1, -5*f + 3*r + 28 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -24\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -20. Let o = 22 - f. Let g(q) = -q**3 - 15*q**2 + 16*q + 12. Calculate the remainder when g(-16) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 54.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*d**3 + 34*d + 3*d**2 + 21*d**3 - 34*d**3 wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-28)\/(-70) + 2. Factor 1\/2*m**w + 3\/2*m**2 - 2 + 2*m - 2*m**3.\nAnswer: (m - 2)**2*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from bebbegteeegxgbeggbee?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228920 is divided by 2144.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 5, 4, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 12*y - 2*o + 1708 = 0, 3*o + 4230 = 5*y. Let u = y + -29717\/35. Sort -6, u, -0.5 in descending order.\nAnswer: u, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275212201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1036377914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*j - 18*j + 8*j)*(-6 - 59 + 26).\nAnswer: 1248*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - 1493993371\nAnswer: -1493993371.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b08 (base 16) to base 2.\nAnswer: -100101100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**2 - 9*p + 21. Let k be z(6). Suppose k = 18*w - 7*w. What is the remainder when w is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*g - 220, -3*u = 3*g - 2*u - 128. Let a = 78 - g. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -33. Let y(a) = -a**2 - 1. Let c(g) = 2*g**3 + g**2 + 2 - 3*g**3 + g**2. Calculate x*c(h) - 5*y(h).\nAnswer: 2*h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 26*w**2 + 29*w - 9. Let o = -249 + 263. Let b be y(o). Let f be (-32)\/10*4\/(-2). Is f less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/20*((-1)\/2)\/(41\/(-3116))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6454 by -191.\nAnswer: -6454\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5168*g + 25858. Determine j(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2 + 1 - 1)*(521 - 175 - 71)*(0 - 2 + 0)*(-w**2 + 0*w**2 + 2*w**2).\nAnswer: -2200*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106602 a multiple of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13.03643 * -4.5\nAnswer: -58.663935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l + 4*l. Let u be 132\/11*2\/1. Let b = u + l. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j = 50. Let n = j - -22. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 31, 462, 0 in ascending order.\nAnswer: 0, 0.2, 31, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11091 (b) 497 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 33*x + 91 = 0. Let f(l) = -l**2 + 14*l - 12. Give f(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 - 8*s - 8. Let d be (-2)\/7 + (-20)\/28 - 2. Let w(x) = x**2 + x + 1. Determine d*t(h) - 24*w(h).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-7) + 1196\/42. Let d = l + -28. Put 0.4, d, -2\/19 in ascending order.\nAnswer: -2\/19, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13225*i**2 + 3719*i**2 - 6293*i**2.\nAnswer: -15799*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6493, -25974, -58451, -103924?\nAnswer: -162393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 7*o**2 + 10*o - 12. What is d(-8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -20*j**3\/3 - 9. Let z(q) = -q**2. Give d(z(o)).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:57 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1918*w - 1919*w + 12*w**4 - 4 + 5*w**2 to v + i*w**4 + d*w**2 + x*w + j*w**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 736 and -14.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*5\/(-2) - 2492\/356. Solve 0 = y*g + 3*n + 21, 85*g = 80*g + 4*n + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 10 + 2*g**2 - g + 3 - 2*g. Calculate the remainder when m(-9) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 39*f**2 - f. Let r be u(2). Suppose r = 2*k + 5*k. Calculate the greatest common factor of 286 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:24 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*1)\/(-2 + 3). Let z be (-9)\/(-1)*w\/(-3). Let c be (z + 2)*(-4)\/(-5). Solve 3 = -c*s + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8b8 - -106a3?\nAnswer: 1b39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 853558.2s to microseconds.\nAnswer: 853558200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39434.\nAnswer: 2, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -525, -522, -523, -528, -537, -550?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-12)*(-22)\/(-11))\/(22\/(-231)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x**3 - 17*x**3 + 33*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2 + 3*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 87, 214, 405, 666, 1003?\n\"Answer: c**3 + 23*c**2 - 7*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 138.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 242963.3 and -0.4?\nAnswer: -97185.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -140 + 142. Suppose 3*t = -r*s + t + 10, s - 5 = t. Solve -4*u = 0, 0 = -5*y + 3*y + s*u - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**3 + 9*x**3 - 7*x**2 + 7*x**2.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204483707.\nAnswer: 1999, 102293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 510777741 to the power of 1\/4, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 13. Suppose 5*b - 4*o + 12 = b, 5*o = x. Let y be ((-22)\/(-2) - 3) + b. Solve -20 = -3*v - y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 + 19095*r**3 - 19100*r**2 = 0. Calculate r.\nAnswer: -3820, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 13\/61901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n + 3. Let h(a) = a - 1. Determine 6*h(s) + 2*j(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -449\/19 + 4443\/266. Calculate the common denominator of -73\/14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + -0.37. Let g = -0.6 - q. Let z = -1.2 - g. Which is the second biggest value? (a) -2 (b) z (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/855, 32, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 414676*z**2\/3 + 1658720*z\/3.\nAnswer: -z*(z - 4)*(z + 414680)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -27*c**3 + 4*c**2. Let v(d) = 782*d**3 - 115*d**2. What is 115*s(j) + 4*v(j)?\nAnswer: 23*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3012 is divided by 2983?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 16, -0.6, -1\/6, 110, -0.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -114 - 186. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q + 49*q = -48. Find the common denominator of (-1030)\/84*(96\/(-280))\/q and -8\/3.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4.4. Let d = 17 + -18.5. Let a = d + 1.4. Put a, -0.3, c in descending order.\nAnswer: c, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1606184 and 10.\nAnswer: 9.8393816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021120 (base 3) in base 9?\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -49. Let t be 14\/(-4)*12\/p. Suppose 0 = 3*d - t. Which is greater: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1548725*-0.5.\nAnswer: 774362.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 2, 6 in descending order.\nAnswer: 6, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11 + 0*j + 6*j - j**2 + 19 - j. Let w be u(6). Suppose 80 = 2*f - c, 0 = 5*f - w*f + 2*c - 106. What is the remainder when 111 is divided by f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + u = -0*u - 79, -u - 161 = 4*z. Let m = z + 44. What is the second derivative of 14*a**3 - 3*a - 7*a - 6*a**m - 10*a**3 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 160*m**2 - 16*m - 37. Is s(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1584 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:55 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 3*b + 3. Let t(i) = -i + 1. Let r(v) = v**2 + 7*v + 12. Let o be r(-2). Give o*j(m) - 6*t(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 97*b**2 + 499*b - 4279. Determine z(-91).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96*(36\/12)\/((-72)\/9).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/4 + 57*m - 14. What is the units digit of y(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**3 - 3*y**3 + 4*y**3 - 3*y**2 + 4*y**3 - 4*y**3 - 2*y**3 + (4*y + y**2 - 4*y)*(-2 + 2 - y).\nAnswer: 3*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002089654 rounded to five decimal places?\nAnswer: -0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*q = -15, 5*q = 477932*o - 477928*o + 39 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -54) + (-1150 - -1149).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1124*j**3 - 3572*j**2 + 3947002*j.\nAnswer: -6744*j - 7144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 46. Let r be q(-22). Solve 0 = -4*g - 4*i - 12, -r*g = g + i - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyic when four letters picked without replacement from {i: 1, y: 2, b: 3, c: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 <= 273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*v**3 + 1)*(106 - 65 - 59).\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*y = 4, -m - 4*y = -y - 16. Let i(q) = q**2 - 13*q + 16. Let s be i(12). What is the third derivative of 0 + o**4 + s + o**2 - m wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 19*m**2 + 63*m - 7. Let q be -28 + 3\/(9\/6) - -2. Is z(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 722*h**3 + 19801*h**2 - 205128*h.\nAnswer: h*(h - 8)*(h + 37)*(h + 693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t - 18. Let w be b(-5). What is the hundreds digit of (2 - 35\/(-14))*w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5890 + 5895.484. Round s to one decimal place.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*f + 5*w, -5*w = -f + 38 - 67 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5634425 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*x - 3470 = -261, 2*b + 5*x - 1611 = 0. Let c be 0 + -1 + 737\/b. Let v be (-20)\/(-100) - (-12)\/(-10). Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8978*k**3 + 106932*k**2 - 9630*k + 216.\nAnswer: 2*(k + 12)*(67*k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k + 438 - 158 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 1881. Let r(b) = -15*b**2. Determine h(r(t)).\nAnswer: -30*t**2 + 1881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 + 18*l**2 + 5*l + 26. Give z(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/188 and -47\/26980?\nAnswer: 1268060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7507 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 172*l**2 + 254*l**2 + 427*l**2 + 6.\nAnswer: 509*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 122*(-398 + -4 + 2). What is a rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - -32. Let o be n\/(-9) + (-2)\/(-3). Let r be o\/60 + (-2)\/(-6). What is the second smallest value in r, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + -15 + 13 + (3 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3 + 804*j**2 + 12238*j - 44004 = 0.\nAnswer: -386, -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -28 - (-5 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 7*h. Calculate v(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -1851, -6749, -16417, -32445?\nAnswer: -56423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(-5*-6*sqrt(1053)*-2*1*-2)**2.\nAnswer: 60652801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 41 = 52913*g - 52912*g, -4*r + 3*g = -49 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7941*h - 7940*h + 0 + 0.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 88.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6)*351\/507)\/3.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o + 971 = 4*y, 3*y - 726 = 3*o. Calculate the remainder when y is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-12)*-2*(-3)\/(-48)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*k**5*r - 2*k**4*r + 65*k**3*r - 14*k**2*r - 144*k*r - 2*k wrt k.\nAnswer: 5220*k**2*r - 48*k*r + 390*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101\/3 + -33. Let v = 134 - 133.946. Let u = v - 1.054. Which is the closest to i? (a) -7 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 4*w - 350 = 13*i, 0 = -2*w + 8. Let f = i - -349. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 4*w + 5, 3*g + 2*w = -757 + 756 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13652423 and 52.\nAnswer: 13652475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -314, 3 in descending order.\nAnswer: 3, -13, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**6\/120 - y**5\/60 + y**4\/8 + y**3\/3 + 10*y**2. Let b be (-2)\/(-2 - -1 - -3). Let f = -3 - b. Give d(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 684 + 684.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrrkk. Give prob of sequence rrk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4066985 rounded to 3 decimal places?\nAnswer: 1.407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 294317643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 1 = -5*j, -o = 2*j + 2*o + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 174\/2)*1. Suppose 37 = 2*v - 5*y, -2*v + 5*y = -4*v + z. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -541.684 rounded to zero dps?\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*d + 4 = 0, -n + 10 = 3*n + 2*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 17, -4, -2\/9, 1 in decreasing order.\nAnswer: 17, 1, -0.06, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/36, 3\/92, 4\/9 in ascending order.\nAnswer: 1\/36, 3\/92, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32*-30\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3366285564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/294 - 4000\/672\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 4:41 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -865, -1 in decreasing order.\nAnswer: -1, -14, -865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 828 - -591?\nAnswer: 11b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -219 - 6*x - 87 + 103 - 124 - 9*x**2 wrt x.\nAnswer: -18*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 23*n - 20*n - 50 in the form y + v*n and give y.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1113\/1325)\/(6\/70) - (-4)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (114 - 34) + -34 - (4 - -7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971461 - 969605 = -116*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74376 + 214979. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**3 + 93*x**2 - 22*x - 20. Let s be j(23). Suppose 5*a = -2*m - 12, 2*a = 5*m - m. Sort s, 4, a, 9.\nAnswer: a, s, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*l = 2, 10 = -2*j + 353*l - 350*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 1672 = -2000. Suppose 0 = -14*j + 10*j + y. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*l - 30410 = 0, 3*t + 2*l = 3599 + 19198. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**4 + 6540*p**3 - 2550380*p**2 + 27190740*p + 29747664 = 0.\nAnswer: -1, 12, 613, 1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4169572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -21. Let i = -3 - -2.5. Let o(z) = z**3 - 3*z**2 - 1. Let n be o(3). Which is the closest to 1? (a) i (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*g - 23 = 117 + 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1547118*s**2 + 20*s + 2. Let w(f) = 3*f. Determine p(w(t)).\nAnswer: -13924062*t**2 + 60*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46536, -93017, -139482, -185925, -232340, -278721, -325062, -371357?\nAnswer: -417600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 3. Let r be k(-3). Suppose r = -3*x + p + 6, 3*x - 6*x = p. What is the smallest common multiple of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6076\/490)\/(((-5)\/((-525)\/14))\/(10\/(-15))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005583 rounded to 7 decimal places?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/840 and -185\/95172?\nAnswer: 951720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*u + 26, -3*x + 1 = -u + 20. Let d(f) = -32*f**2 + 7. Let n(s) = 16*s**2 - 3. Let r(h) = u*n(h) + 3*d(h). Let b(z) = 3*z**2. What is b(r(g))?\nAnswer: 768*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 5*d + 3. Let c be h(-6). Let v = -2 - -6. Let y(l) = 4*l - v*l - l. Let w(a) = a. What is c*y(j) - 5*w(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) + 0)*-2 + -4)*6)**2 + -4 + (((2*sqrt(833) - sqrt(833))*-1)**2 + sqrt(833))*2.\nAnswer: 2318*sqrt(17) + 41406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -3, 5\/92, 15\/2, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-5)*z)**(3\/16)\/(z\/((z*(z*z**(5\/3))\/z)\/z)*z**6))**(3\/7) assuming z is positive.\nAnswer: z**(-193\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2678 + 2682. What is the smallest value in c, 1\/6, 136.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 7)*(-40*f**4 - 154*f + 154*f) to c*f**2 + a*f**4 + y*f + v + k*f**3 and give a.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.5073776.\nAnswer: -1.5221328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -220110?\nAnswer: -220113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3432 by -6.\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) + sqrt(104)*-2)*3)\/(sqrt(96)\/sqrt(300)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4014*s**2 + 9*s. Let g(o) = 2008*o**2 + 4*o. Determine 9*g(u) - 4*q(u).\nAnswer: 2016*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15019377*o**3 - 17288991*o**2 - 5*o wrt o.\nAnswer: -90116262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91517242 to the power of 1\/2, to the nearest integer?\nAnswer: 9566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-77378)\/(-35) + 198\/(-110). Calculate the highest common divisor of 376 and j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -56683617.8894 - -79\nAnswer: -56683538.8894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519179 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(98) + (2 + sqrt(98)*1)**2).\nAnswer: 175*sqrt(2) + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5482*c - 49342. Determine a(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 4*c - 4. Let g(b) = 2*b**2 + 9*b - 9. Let l(j) = -4*g(j) + 9*q(j). Let u(a) = 12*a**2. Determine u(l(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orggg. What is prob of sequence rgog?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1339 or 1337?\nAnswer: 1339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 less than 2053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (6 - (2 + 3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*z - 156, 227*z - 214*z - b + 627 = 0 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1 + 2)\/(-2). Suppose 8*m + 160 + 160 = o. Let a be ((-70)\/m)\/(3\/36). What is the greatest common factor of a and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/101, 16\/7, 5\/2, 4, -1, 1\/5 in ascending order.\nAnswer: -1, 2\/101, 1\/5, 16\/7, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1495*p**5 - 1753*p**2 wrt p.\nAnswer: 89700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -397283842 by 1.\nAnswer: -397283842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*x - 232*x + 951342 + 1482078. Is 119 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -65. Let w be y\/48 + (-2)\/((-8)\/2727). Suppose 0 = -2*l + w + 156. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.991 rounded to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 559 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w**3 - w)*(4 - 2 + 0) + 21*w**3 - 13*w**3 + 27*w**3 + w**3 + 5 - 2*w - 10*w**2 + 10*w**2.\nAnswer: 30*w**3 - 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 5*j**4 - 9284 - 9*j**3 + 9280 + 22*j - 25*j to w + b*j**2 + g*j**3 + q*j**4 + m*j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:51 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1573500 to the nearest 10000.\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4212 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 4452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2238484022?\nAnswer: 2, 31, 173, 208697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 1560 = -18*z. Let k be 88*(-2 + (-7)\/14)\/(-2). What is the highest common factor of z and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908466052 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 114312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 7 + 5 = -3*g, -4*g = -p + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -330, -331, -332?\n\"Answer: -z - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**2 - 85*h - 4. Let x(g) = -16*g**2 - 255*g - 11. Calculate -11*f(i) + 4*x(i).\nAnswer: 2*i**2 - 85*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 - g. Let c = -45 + 50. Suppose 0 = 5*a - c*m - 25, 4 = -0*m - m. What is t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -6*c - 3*h + 151, -5*c - h + 727 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -579 + 1737 - 583 - 11*d**3 + 45*d**3 + 146*d - 577 + 2*d**2 in the form h*d**2 + m + z*d + q*d**3 and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 12*h = -15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 31 = 4*c, c + 2*g = 19. Let h be 1*-8*1\/(-4). Let s = c - h. Solve -3*j + 12 = -2*u - s*j, -5*j = -u + 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u - 13. Let f(h) = 13*h + 19. Let t(q) = 7*c(q) + 5*f(q). Let s be t(2). Solve -8*g = -4*g - s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51379061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -11. Let j(y) = -1 + 6*y - 6*y**a + 7 + 12*y**2 + 8*y**3. Let m(s) = 7*s**3 + 5*s**2 + 5*s + 5. Determine 5*j(d) - 6*m(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(121) - -1*sqrt(121))*6)\/(sqrt(11) - (sqrt(77)*1 - sqrt(77))\/sqrt(7)))**2 - ((6*-1*sqrt(110) - sqrt(110))\/sqrt(10) + 0)).\nAnswer: 28*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -18 - 4 - -13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3782249?\nAnswer: 3782249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/28951138 and -1\/10?\nAnswer: 144755690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2063 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37775*a**2 + 118202*a**2 + 81665*a**2.\nAnswer: 237642*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**3 + 33*r**2 - 36*r + 82. Let i(c) = -12*c**3 - 67*c**2 + 73*c - 163. Let a(j) = -3*i(j) - 7*u(j). What is the tens digit of a(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20\/37 - -359\/185. Factor -8\/5 - 26\/5*w + q*w**2.\nAnswer: (w - 4)*(7*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 288, 539, 854, 1239?\nAnswer: 1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*m**2*o**3*v**4 - 2*m**2*o**3*v**3 - 67*m**2*o**3*v + m**2*o**2*v - m**2*o*v**2 - 2*m*o**2*v**2 wrt v.\nAnswer: 480*m**2*o**3*v - 12*m**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*h + 411 = 5*n, -82 = -n + h. Let m(f) = -68 + 151 - n - 5*f. Let c(z) = -9*z**2. Give m(c(k)).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052116?\nAnswer: 2, 11, 46639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -b7589?\nAnswer: b75a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01279610019 to five decimal places.\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1, 6\/37, 3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -7)*(-2)\/3. Let h be 2\/9 - v\/(-36). Suppose -w - 5 = 0, -3*z + 2*z - 26 = 5*w. Which is the nearest to z? (a) 2\/15 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4 - 642*b**3 + 63739*b**2 - 364992*b + 538740 = 0.\nAnswer: -730, 3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 7*c - 10. Let s(o) = 3*o**2 + 7*o + 9. Let i(u) = 3*s(u) + 4*w(u). Let l be (-30)\/10*(-11)\/3. Is i(l) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 1. Let r(f) = 5*f**2 - 3. Let q(d) = d - 8. Let c be q(5). Let h(o) = c*m(o) - r(o). Let k(a) = -a**2. Give k(h(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*j**3 - 3*j**3 - 7*j**3)*(0*j + 0*j + 3*j**2).\nAnswer: -69*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402272 is divided by 20101?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (4 - -22)) + (-2 - -9).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 55 = 5*z, -x + 5*z - 17 = -0*z. Let s(m) = 1 - 3*m + 5 + 3 + 1. Calculate the remainder when s(x) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**5 - 465*y**4 + 16555*y**3 - 275975*y**2 + 2055000*y - 4750000 = 0. Calculate y.\nAnswer: 4, 19, 20, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 894*n**2.\nAnswer: -3*n**2*(n + 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*n**3 + 31037*n**2 + 915857*n + 10443 = 0.\nAnswer: -59, -3\/263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) -2\/203 (b) -0.2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 4*n - 3*n)*(-27*n**2 + 15*n**2 - 11*n**2) + (-n**2 - n**2 + n**2)*(0*n + 2*n - n).\nAnswer: 45*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*k = 5*b, -6 = -3*b + 5*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2*f*f\/(f**(1\/6)\/f))\/(f*f**(-1))**(1\/40) assuming f is positive.\nAnswer: f**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -873 + 873. Solve 2*w = -2*d - 1 + 15, -3*w + 12 = z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -603 - -613. What is the highest common divisor of f and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*o + 22890 = 185*o + 24*o - 402*o for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -516 + 513. What is the second biggest value in k, -4\/63, 0?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 17a8a?\nAnswer: -17a8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406.6 take away -15377017?\nAnswer: 15373610.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - -12001?\nAnswer: 11302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 719\/36 + -15079\/828. What is the common denominator of l and -3\/253?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-104)*(2 - 6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 - -188. Let v = -70 + f. List the prime factors of v.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/15)\/(85\/(-51))*2\/4.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 2*l + 1. Let x be (-4)\/(-3)*18\/1. Suppose x = -12*g + 16*g. Suppose g*v = 11*v + 45. Let o(c) = -13*c**2 + 8*c - 5. What is v*j(k) - 2*o(k)?\nAnswer: -k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -55.49 >= 14\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.37999966 - -0.38. Round b to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 1, e: 2, u: 1}. Give prob of sequence eun.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782943 is divided by 420.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128\/5 + 26. Let g(t) be the first derivative of t**4\/4 + t**2\/2 - 1. Let d be g(0). Are b and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1 + 7*p**2 + 0 + 1 - 8*p - p**3 + 5. What is the units digit of i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287409389 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -49. Let l = 33 - 32.7. Sort -3, l, 2, f in descending order.\nAnswer: f, 2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 900*d**3 - 13*d**2 - 46*d - 5. Let l be s(-5). What is l rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 0*u**3 - 2*u**3 + 6*u**4 - 8*u + 3*u**2 as j*u**3 + r*u**2 + x*u**4 + q*u + k and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -86. Let x = 14 + h. Which is the third biggest value? (a) x (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - ((sqrt(684) - 4*sqrt(684)) + 3)) + 5 + sqrt(95)\/(sqrt(720) - ((sqrt(720)*5 - sqrt(720)) + sqrt(720) + sqrt(720)))*-6.\nAnswer: 2 + 241*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5309*3 - 4\/(-8). Let z = f + -15596. Let d = z - 324. Calculate the common denominator of 97\/6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**3 + 1720*d**2 + 474*d + 4434. Calculate f(246).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25818 + 3?\nAnswer: 2581b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 12*z - 1. Let d be w(-10). Let x be (6\/d)\/((-34)\/119). Sort x, -76, -1.\nAnswer: -76, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56207.28 microseconds in seconds?\nAnswer: 0.05620728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2940*h = 2945*h + 14, -6*n + 2*h + 20 = -2*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.116 - 4.116. Let v = -9\/13 - -73\/143. Let q = 1.11 - 0.11. What is the second smallest value in v, x, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:27 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*g**2 - 4*g**2 - 9*g**2 - 4*g - 1 - 5*g**2 + 2*g**3 to z*g**2 + v*g**3 + y + i*g and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*t + 2, -5*x = -0*x - 2*t - 56. Calculate the lowest common multiple of 11 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v**3 - 416*v**2 - 1480*v + 4800 = 0. What is v?\nAnswer: -120\/11, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 2*r**3 - 2*r**3 + (5 - 5 + 15*r**2)*(-3 - r + 3) + 3*r**3 + 0*r**3 - r**3)*(1 + 0*r - 2*r + 3*r).\nAnswer: -15*r**4 - 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100535850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 714\/189 - 2\/(-9). Solve -r*j = 5 - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 - 478*k + k**3 - 7*k**3 + 478*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from {k: 1, x: 3, w: 2, y: 11, l: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40818 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -464?\nAnswer: 46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 1:20 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -18*s**3 + 3*s**2 + 9*s + 11. Let l(y) = -8*y**3 + y**2 + 4*y + 6. Determine 3*k(u) - 7*l(u).\nAnswer: 2*u**3 + 2*u**2 - u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 4*a + 6. Suppose -3 = -5*z + a*z. Sort 1\/3, z, 2 in decreasing order.\nAnswer: 2, z, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, 61, -7 in decreasing order.\nAnswer: 61, 17, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*r = -309*r + 522 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058364 less than -0.5?\nAnswer: -0.558364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02595425 - 1.689658.\nAnswer: -1.66370375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 804\/8*12\/18. Let o = -69 + y. Let l be (o - -4)*46\/4. Solve 0*h - 5*h = -4*b - l, 0 = -b + 2*h - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**4\/12 + g**3\/2 - 8*g**2. Calculate the remainder when 35 is divided by l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245.3 + -245. Let h = -8 - -11. Let n = h - 2.8. Which is greater: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/((-1)\/4)*26568\/984?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(3\/13)))\/v*v*v*v*v*v**(-16\/7) assuming v is positive.\nAnswer: v**(44\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4009 and -0.5.\nAnswer: -0.9009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + sqrt(243) + -2) + (sqrt(108) + -5*sqrt(108) - (sqrt(1728) + 2 - sqrt(1728))))**2.\nAnswer: 672*sqrt(3) + 5356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 647 = -4*y, -3*y - 214 = -23*j + 24*j. Is -219 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 - -2212102?\nAnswer: 2210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721573.\nAnswer: 71, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 3*g + 2*g - 17, 4*g = -q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -286 - -286.4. Let d = -7.3 - -4.3. Which is the nearest to -0.1? (a) -0.074 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 85684 and 85684 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 257 and 0.0992 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 88 = 25*v. Let b(k) = -k - 2*k - 17 + 133*k**2 - 6*k - k. Is b(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-534)\/108)\/(-89))\/((-8)\/16)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -946*i - 17. Let w(s) = 1896*s + 36. Let t(r) = 3*w(r) + 7*z(r). What are the prime factors of t(-1)?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6716887ml?\nAnswer: 0.0006716887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28 - (-6 - 16))\/(-2). What is the closest to h in -0.5, -34, -4, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20 + 1 - 82*h**3 + 8*h**2 - 188*h**3 - 2*h**2 wrt h.\nAnswer: -1620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28050 is divided by 390?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 4)\/((-1)\/(-7)). Suppose l = -11 + r. Suppose 0*a - l = -3*a. Is 7 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)\/(-3) + 3 + 1. Suppose -3*f + 12 = 3*l, l + 2*f = -0 + r. Solve -3 = -5*i - 2*h - 0, 4*i + 2*h = l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 + 2*b**2 - b + 2. Determine s(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -1875?\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -1\/150*n**5 + 0 + 1\/225*n**6 - 1\/15*n**4 + 0*n**2 - 15*n + 0*n**3. Factor f(l).\nAnswer: 2*l**2*(l - 3)*(l + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.18 - -3.18. What is the nearest to r in -0.6, 3, -6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/1309)\/((-26)\/(-91))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -16. Let d be 25\/q + 2*-1. Let n = 5 - 3. What is the third biggest value in n, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15, 0.2, 5\/27, -4\/7, -296.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 1. Suppose -5*k = 3*r + 28, -3*r - 3*k + 22 = -8*k. Let q(t) = 3*t**2 - t - 3. Give r*q(n) - 5*h(n).\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.2, -45, 0?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 294.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -26\/56281?\nAnswer: -26\/56281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2744, -10992, -24740, -43988?\nAnswer: -68736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 66*r**2 - 1103*r - 551. What is p(-38)?\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33633757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a + p = 113, a = 4*p - 60. Let k(q) = -q + 4. What is the least common multiple of 4\/(-6) + a\/(-3) and k(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9454*n + 1862431. Give z(197).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14874, 14880, 14886, 14892?\n\"Answer: 6*h + 14868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 8, t: 7, c: 3}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 215*o + 2161. Let m be k(-10). Let z = 10 - 4. Solve z*n + 1 = -m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 4, -5*b = 2*v + 390. Let f(i) = i**3 + 36*i**2 - 32*i - 15. Let u be f(-37). Is v bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676734.\nAnswer: 2, 1338367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3774 divided by -629\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s - 182*s**2 - 7*s - 6398 + 6398. Let h(c) = 2*c. Determine h(x(f)).\nAnswer: -364*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 310457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/((-42)\/36). Let z = -19.7 - -21. Let d = -2.7 - z. Which is the smallest value? (a) y (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1053.5 + -1053.23. Which is the second smallest value? (a) l (b) 2 (c) 11.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 153 = 0, 33*v - 71 = p + 36*v + v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-115*g**3 - 156*g**3 - 34*g**3)*(3*g - g + 7*g) in the form r*g + p + w*g**4 + k*g**2 + c*g**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 z when three letters picked without replacement from {i: 1, z: 6, t: 1, u: 8}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 200846625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i = 69*i + 36*i + 137*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257757522, -257757524, -257757526, -257757528?\nAnswer: -257757530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 127419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0 + 2. Let l = -14.7 - -0.7. Let d = l - -13.8. What is the biggest value in u, d, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 18 = 11*u. Find the common denominator of -9\/7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from ryyvwqrqzvyyywzvvv.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 551*q - 14335. Give n(26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 7*x**5\/60 - 3*x**4\/8 + x**3\/2 + x**2. Let q(p) be the first derivative of o(p). Differentiate q(a) wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*s + 13 = 0, 4*d - 3*s - s - 20 = 0. Let w be -1 + 3 + d\/(0 - -7). Solve -3*i = -w*m - 12, 2*m - 3*m + 4 = i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 3. Let x(z) = -10*z - 16. Let t(r) = -16*w(r) - 3*x(r). What are the prime factors of t(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42931, -43010, -43143, -43330?\n\"Answer: -27*o**2 + 2*o - 42906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4322 - -1.4222. Let u = 1.95 + -2. What is the second smallest value in w, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + -1. Let g = 30 + -30.5. Which is the second smallest value? (a) g (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 1701 = -30*s. Let m = s - 218. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7185 and 250517.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yveeyqyeqve. What is prob of picking 2 q and 1 e?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*b + 5997 + 1034 - 230 = -1009 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1788*o - 1757*o + 3567*o.\nAnswer: 22*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 25. What is y(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16\/40)\/((-6069)\/(-7586) - 4\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/4 - (-13)\/26. Suppose 2*q + 2*k + 2 = 0, 0*k + k = -5*q - 9. Which is the nearest to q? (a) d (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-2))\/h)\/h*h)**(-10)*(h**(-1)*h*h)**(-1\/6) assuming h is positive.\nAnswer: h**(-121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4378017212.\nAnswer: 2, 491, 2229133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.1 (c) -0.2 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by -328?\nAnswer: 95\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36e6 (base 16) to base 15\nAnswer: 426e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -1*(5 + 1 + sqrt(117) + 4*(sqrt(117) + sqrt(117)*-4)) + 3)**2.\nAnswer: -330*sqrt(13) + 70790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 6*w**2 - w + 8. Let c be u(6). Let k be (-1)\/(-2) + (-33)\/18. Let v = -98.9 + 99. What is the nearest to -2\/5 in c, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1312 + 193*a**5 - 2600 + 1335 - a**3 + 9*a**2 wrt a.\nAnswer: 11580*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3301363 and 260?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1618*f - 24. Let x(l) = 4852*l - 68. What is -17*t(z) + 6*x(z)?\nAnswer: 1606*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -2*h**3\/3 - 7. Let r(g) = 9*g**2. Give f(r(k)).\nAnswer: -162*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/45 - 8\/(-9). Let n be (-1 + (-9)\/(-12))*2. Which is the closest to 4? (a) 2\/11 (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g**3 - 3*g**2 + 9. Let c(k) = -k**3 - k**2 + 1. Suppose 282*i = 298*i - 48. Determine i*c(u) - n(u).\nAnswer: 3*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2)*p**14 assuming p is positive.\nAnswer: p**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3235 + 3236. Let o = 0.034 + 0.046. What is the second smallest value in o, -1\/3, x, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 1345*o + 164058. Calculate v(-160).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:43 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.2 (c) 0.3 (d) 5 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17731039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (581\/196 - 3)*(-7 - (-525)\/90)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0 + 1\/12*p**4 + 0*p**3 + p + 1\/10*p**5 + 0*p**2 + 1\/30*p**6. Suppose u(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288574.\nAnswer: 2, 11, 13, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Solve -u*b + 5*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*y = -3*c + 4, 2*y = -2*c. Let x = 274 + -271. Let a be (-6*c\/x)\/(2\/42). Calculate the highest common divisor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*n - 21. Suppose -5*o = i - 30, -5*o = -2*i - 2*i - 5. Suppose -2 + 37 = i*p. What is the highest common divisor of n and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 5*m**5\/6 + 7*m**3\/6 - 3*m**2 + 2*m. Differentiate l(h) with respect to h.\nAnswer: 100*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16 + 11 - (0 + -7). Suppose -4*q + 54 = 4*i - 94, 3*i + l*q = 109. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/3 - -7)\/2. Let q(a) = a**2 + 2. What is the remainder when (-4)\/f*12\/(-8) is divided by q(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3*h**2 + 4*h + 3. Let x be n(-3). Suppose 2*c = m + 105, -2*c + x + 30 = 5*m. Calculate the greatest common divisor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(28)\/sqrt(4)))\/(4*sqrt(36) - sqrt(36)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - -9. Let p = 55 - v. Let d(m) = m**2 - 15*m - 31. List the prime factors of d(p).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 29*q - 89. Give c(-26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7442 or 52098\/7?\nAnswer: 7442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39051389.\nAnswer: 13, 1423, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 261.\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -306274040 to the nearest one hundred thousand.\nAnswer: -306300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195094 + 390252 + 14*l - 195158.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 258929552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -14, -17, -20, -23?\n\"Answer: -3*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 755, 1368, 1981, 2594, 3207?\n\"Answer: 613*s + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a week in minutes?\nAnswer: 92736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:23 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-1037)\/(-122)*4\/3.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 - 113. Let m be (-84)\/(-45) + -2 - 4\/(-30). Let o = -151 + 1059\/7. Which is the closest to o? (a) m (b) d (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:29 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14327 - 14317 + 28644 + 16*x - 5*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 8*p + 0 - 1\/2*p**3.\nAnswer: -p*(p + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 112\/49 - 2\/7. Suppose x*m = 4*j - 2, -j + 0*m = m + 1. Suppose -6*a + 80 + 40 = j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3)*-1 + -30 + 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012627 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 37790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*i - 1364*i = -696*i + 60 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 - 37*i**2 + 22*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890040 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -1. Let v = x + 2. Let d be -5 + v + 0 + 1. Put -4, 4, d in decreasing order.\nAnswer: 4, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310771, 1243057, 2796867, 4972201, 7769059, 11187441?\nAnswer: 15227347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 8. Let a be x(-8). Let j = a + -5. Calculate the greatest common divisor of 21 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 5, n: 1, h: 1, l: 1}. What is prob of picking 1 z and 1 h?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1033.190672839 - -959.19067293. Let r = j + 74. What is r rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.16 + 10. Let g = b + 32.16. Let a = g + -26. What is the smallest value in a, -0.5, 2, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -6. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(12)*-3)\/sqrt(4) + 5*(sqrt(192))**2 + 2 + (2*sqrt(300)*4)**2.\nAnswer: -2*sqrt(3) + 20162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4547\/6 smaller than -757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q - 2*q)*(-3 + 1 + 0)*(4 - 5 - 1 + (-4 + 3 + 0)*(4 + 2 - 4))*(21*q - 13*q - 13*q).\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 3. Suppose 28 = 9*m - 35. Suppose -3 = -2*l - m. What is q(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*k - x, -12 = -4*k - 3*x - 27 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -356320 divided by 131?\nAnswer: -2720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171985907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 7*f + 9. Let z be k(-7). Let y = z + -4. Let b(p) = p - y*p + 2*p. Let l(s) = -s**2. Determine l(b(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 6380.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/945 and -61\/20?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -120*i**3 + 16*i**2 + 16. Let z(q) = q**2 + 2*q**2 + 2373*q**3 + 1 - 2397*q**3 + 2. Calculate -3*m(k) + 16*z(k).\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from {m: 7, w: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9392 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-156)\/(-10))\/((-18)\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 1:13 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 + -11 + (-562)\/(-566))\/(-1). Is -2\/7 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 18*i**2 - 32*i + 10. Let k be m(-20). Is -149 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 4*d**3\/3 - 64*d**2 + 448*d - 23. Let u(h) = 0. What is h?\nAnswer: 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 2964325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13728 - -13728.1. Which is the second smallest value? (a) 0.5 (b) -0.32 (c) -5 (d) w (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -524 - 3?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*q + 6668 = -12687 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 209 = 2*a. Let f = 14\/965 - 915897\/7720. Let v = a + f. What is the second biggest value in -5, v, 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5964, -47948, -162004, -384198, -750596?\nAnswer: -1297264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5\/26, -4.2, 34 in decreasing order.\nAnswer: 34, -5\/26, -1, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 6 in ascending order.\nAnswer: -6, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11866 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i - 4, 3*i - 78591 = -3*w. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6348*f**2*k - 4934*f**2*y**3 + 160*f*k*y**3 + 342*f*k*y - f*y**2 - 14*y**4 wrt y.\nAnswer: -29604*f**2 + 960*f*k - 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8 - 7*n + 2 + 5*n**2 - 8*n**2. Let m(f) = 4*f**2 - f - 21. Let r(y) = y**2 - 5. Let l(a) = -2*m(a) + 9*r(a). Determine 2*h(u) + 7*l(u).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + (sqrt(171)*-2)\/sqrt(3))\/(sqrt(12)\/sqrt(4)*5).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105 - 51*v + 82 + 144 + 48*v to z*v + f and give f.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/((-10)\/(-15)). Suppose 0*r = 4*r + 16. Let a be (3\/r)\/(3\/(-12)). Put a, -2, f in increasing order.\nAnswer: -2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/6*4\/6. Suppose -273 = -v*r - 28. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1366 - 288 = 77*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 460896, 460894, 460892, 460890, 460888, 460886?\n\"Answer: -2*n + 460898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/4, -122, -2\/9 in ascending order.\nAnswer: -122, -1\/4, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*u**3 - 39*u**3 - 50*u**3 - 55*u**3 - 53*u**3.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(8\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 8*p + 8, -4*p + 10 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 336, 3, 5, -366, 2 in decreasing order.\nAnswer: 336, 5, 3, 2, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.90651 tonnes?\nAnswer: 1906510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1038, 2036, 3026, 4008, 4982, 5948, 6906?\n\"Answer: -4*p**2 + 1010*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2153185 decades in millennia?\nAnswer: 0.002153185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2120*n - 44534. Determine z(-20).\nAnswer: -2134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -690, -883, -260, 1593, 5090, 10645, 18672, 29585?\nAnswer: 43798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3\/8, -3\/8, -1, -1\/644, 0.2, 0.01, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6927, 13858, 20795, 27738, 34687?\n\"Answer: 3*w**2 + 6922*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2829 + 2463. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -820 less than 13?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9788*p**2 + 250 + 9773*p**2 + 5*p**4 - 151*p + 35*p**3 - 124*p.\nAnswer: 5*(p - 2)*(p - 1)*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/25*((-8625)\/46)\/(-75).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*y - 175, 2*y + 27 = -n + 100. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.3 and -0.3.\nAnswer: -3.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let n be s(1). Suppose 10 = 5*p, 13 = -8*f + 9*f + 2*p. Suppose 42 = -2*x + 8*x. Solve -f + x = -n*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-6 - -1)*2. Suppose m = 2, 0 = 5*a - 3*m - 0*m + k. Suppose 3*q + a*q - c = 148, -152 = -3*q + 2*c. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208269*n**5 - 38*n**2 - 903728*n wrt n?\nAnswer: 4165380*n**3 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/10 (b) 11 (c) -0.4 (d) -0.08 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -210?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29949\/596 + (-10)\/8. Solve 50*m - c*m = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -66.34322?\nAnswer: -132.68644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 216\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 713715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6468 - -6472. Let m(f) = -f**3 + 5*f**2 - 4*f + 4. Calculate m(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 89, 123, 175, 251?\n\"Answer: r**3 + 15*r + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16 = 4*l - 8, -4*l + 4 = 0. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 9 = -1640*i + 1638*i + 37, -5*i + 2*m = 52 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)*n)\/n*n*n**(-2\/7)*n)**(7\/5) assuming n is positive.\nAnswer: n**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 117\/45 - (-44)\/10. Suppose -5*b + 2*w - c = -w, b + 3*w = 10. Sort 3, -5, b, 14 in descending order.\nAnswer: 14, 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37\/365 + 22\/73. Put -1\/4, g, 0.09 in descending order.\nAnswer: g, 0.09, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 103 (b) -430\/7 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17710000*m**3 - m**2 + 4*m - 3. Let v be y(1). Round v to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 3, 138, -1380 in descending order.\nAnswer: 138, 3, -1, -3, -1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 221, 369, 517?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -d6281 (base 16) in base 6?\nAnswer: -30445013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -309*q**4 + 555*q**3 + 412115*q**2.\nAnswer: -7416*q + 3330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 32*d + 96. Let p be q(-13). Put -52, 3, p in ascending order.\nAnswer: -52, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*m - 85*m - 142 - 2426 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 5613.29.\nAnswer: 5612.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, y: 3, b: 6}. What is prob of picking 1 y and 2 b?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, v: 1, j: 7, z: 3}. Give prob of sequence jzzz.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 8*k**2 - 6*k - 1. Let x(p) = -p**2 + 21*p - 6. Let s be x(21). List the prime factors of b(s).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*c**5 - 232*c**5 - 57*c**5 + (-c**5 + 2*c**5 + 0*c**5)*(-2 + 4 - 1) + (-1 + 1 + 2)*(0 + 0 - c**5).\nAnswer: -344*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (2 + -1)) + -1. Let v = 20 + -15. Which is the closest to d? (a) v (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58143220 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2240 and 13888?\nAnswer: 69440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 3*i + 19 = -2*a, -5*a + i = -21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 34*b**2 + 180*b + 62. Let l(a) = 50*a**2 + 269*a + 88. Let t(z) = 7*j(z) - 5*l(z). Calculate t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z = 6, 2*f + 4*z = 142. Calculate the remainder when f is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 80\/(-6)*12\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - (131 + 34 + -155).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/160190 and -37\/3735?\nAnswer: 1441710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 n when three letters picked without replacement from nnnjyjjjjjjjjnjjjn?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2 = -4*k, 468*k + o - 12 = 453*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(125)*3 + 2 + -5 - -1*(1 + 4*sqrt(125)))**2 + -3.\nAnswer: -140*sqrt(5) + 6129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 + 1612*l + 39098. Determine w(-296).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let q be (4\/10)\/(2\/80). Let x = -11 + q. Let k(l) = -l - 5*l + x*l. Determine p(k(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260446.\nAnswer: 2, 130223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 6256494.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 14*z + 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y - 54. Let m be s(10). Let v(j) = 2*j**2 - 5*j - 22. Let l be v(m). Solve 8*o = 4*o + l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -17743660?\nAnswer: 17743651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/19)\/((d\/d**(-9\/5))\/d) assuming d is positive.\nAnswer: d**(-161\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 18. Let r(n) = 2*n + 17. Suppose -111*p = 166 + 500. Give p*d(f) - 5*r(f).\nAnswer: 2*f + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -1181, -4294, -10565, -21098?\nAnswer: -36997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 31. Let o be (z\/(-9))\/(4\/(-6)). Suppose -x + 21 - o = 0. What is the greatest common divisor of 209 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7) + 0 + sqrt(7) + sqrt(28)*2 - (sqrt(700) - (sqrt(700) - 4*sqrt(700)))\/sqrt(4).\nAnswer: -14*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-3 + (-16 - (21 - 5))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004516423 rounded to five decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k - 3. Let r(h) = -h. Calculate 14*r(c) + 2*x(c).\nAnswer: 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32\/9*i - 2\/9*i**2 + 128\/3 = 0 for i.\nAnswer: -8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60393603.\nAnswer: 3, 863, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -3 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8211314*-4\nAnswer: -32845256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 8 = 0, 0 = -2*r - 2*m + 159 + 71. Suppose 0 = -8*w + 212 - 212. Suppose w = -4*g + g + r. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(6 + -1 - (10 + 434\/(-84))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h - 0*h. Let j(q) = 2*q - 5. Let g be j(4). Let d(i) = -7*i - 1 - g - 2 + 8*i. Determine d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95.42 - -1.58. Let z = h - 53. Let o = z + -16. Is 1 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143173 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5\/1123, 0.2, 0.5, 1, -3\/5 in ascending order.\nAnswer: -2, -3\/5, 5\/1123, 0.2, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3\/3 + 6*p**2 + 12*p + 279. Calculate f(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + -0.2. Let w = k + 6. Let u = -1222\/2763 - 2\/921. What is the second biggest value in w, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 t, and 1 c when four letters picked without replacement from coktkotoko.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmzz. Give prob of picking 3 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80622*g = -i + 80620*g - 13, 0 = 5*i + 4*g + 83 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (24\/140)\/((-18)\/(-462))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9 = -11. Suppose 5*s + f = 30 + 17, o*f = 8. Solve 7 = 4*b - s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + -2 + -1.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2666 = -5*y, 2*n + 28*y = 27*y + 2666. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01564 + 0.03798. What is x rounded to 3 decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -334*p + 310*p. Solve p*k = 3*m - 0*m + 34, -3*m = -2*k + 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14.254553 at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, -7, 3, -4 in descending order.\nAnswer: 4, 3, -4, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:40 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 10556 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/2 + 2377*w**3 + 7128*w**2 + 7127*w + 4751\/2 = 0.\nAnswer: -4751, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 - 14*s + 44\/3.\nAnswer: -2*(s - 1)*(s + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 339.599998293 + -339.6. Round h to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 9*i**2 - 10*i**2 - 3*i**2 - 2*i + 6*i**2. Let c be z(0). Solve -f + c = 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000381280574 to 5 decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*u = -52, 3*b = -u + 6*u - 13. Let g(m) = -2*m - 14. Let s be g(b). Solve 6*j = -5*t + 2*j - 26, -2*j = s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77057, 76851, 76633, 76403, 76161, 75907?\nAnswer: 75641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:33 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388.529 rounded to the nearest 10?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.32 + 0.32. Let p = -9 + 19. Let o = -9.9 + p. Sort l, o, -2\/9 in ascending order.\nAnswer: l, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -2, -34, 1, -0.03 in ascending order.\nAnswer: -34, -2, -0.03, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - 76*h - 21. Let g be j(-25). Which is the nearest to g? (a) -2\/5 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1588232 to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 2612417638.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.003 - -21.997. Let d = r - 19. What is the nearest to 2\/3 in d, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6)*(-116694)\/(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.4, -2, -5, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534149 to the power of 1\/2, to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 6*v + 2. Suppose 2*p + 4*u = -26, -4*p - 4*u + u - 37 = 0. Calculate o(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8606 = 18*p - 21*p, -2*p - 3*v = 5750. Is p greater than -2871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*2*(-160)\/240?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4961*-4.2\nAnswer: 20836.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 28. Suppose 2 = 4*k - n*k. Sort -2, k, 4 in descending order.\nAnswer: 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -253*k**2 - 296*k - 3. Let f(h) = -760*h**2 - 887*h - 8. Let d(v) = 3*f(v) - 8*r(v). Find the second derivative of d(y) wrt y.\nAnswer: -512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 11220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 + 45*v - 6. Calculate c(-5).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027891135 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(40\/6))\/((-27)\/36). Let x = 5.62 - 0.12. Let g = x - 5. What is the third smallest value in z, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*l - 5. Let x(m) = 49 - l*m - 49. Let y(o) = 2*o**2. Determine y(x(f)).\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 26*j - 3. Let a be p(-13). Calculate the remainder when (-154)\/a - -1 - (-2)\/(-6) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.4 - 40.4. What is the second biggest value in -2\/3, m, 6\/17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 27 = -12*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0*s**3 + 0*s - 1\/105*s**7 + 1\/30*s**5 + 0 + 1\/60*s**6 + 2*s**2 - 1\/12*s**4. Factor g(z).\nAnswer: -2*z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/11? (a) -1 (b) 372 (c) 1.3 (d) 9 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7670 and 141440?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 0?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -593628241*t**3 - 271867024*t**2.\nAnswer: -3561769446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -59, -0.07, 0.019, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -766 at most as big as -763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-123)\/6)\/(1*(3 - -1)) and 35\/28*1068\/(-90)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -11975643\nAnswer: -2\/3991881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, a: 5}. Give prob of picking 4 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10212012 + 1322?\nAnswer: 10220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 26*x**2 + 69*x - 4. Calculate l(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 92, -0.4, -0.35, -4 in decreasing order.\nAnswer: 92, 5, -0.35, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -10617408.97?\nAnswer: 10617417.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:17 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**9\/7560 - i**8\/1680 - i**7\/1260 - 15*i**4\/8 - 2*i**2 + i. Let d(g) be the second derivative of k(g). Factor d(n).\nAnswer: -2*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 2, s: 1, a: 1, d: 1, w: 1}. What is prob of sequence bdw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 4 - 5 + 7*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (900\/1120*(-245)\/105)\/(1\/(-72)).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 7, 1, -14, -4 in decreasing order.\nAnswer: 7, 1, 0, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330156 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7067228 millennia?\nAnswer: 706.7228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 3*i + 2. Let l be x(4). Let w be 1 + (2 - (-3)\/(-1)). Let s be (0 - w)*(-6)\/6. Is s <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 36. Let o(n) = 4. Let r(t) = f(t) - 9*o(t). Let v(i) = 2*i**2 + 15*i + 148. Determine r(v(x)).\nAnswer: 2*x**2 + 15*x + 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -49*a - 146. Let v(t) = 945*t + 2772. Give 77*f(w) + 4*v(w).\nAnswer: 7*w - 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 6*j**2 - 7*j - 3. Let p = 443 - 423. Let z = -25 + p. Give y(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 8 = -2*c + 25, 2*u = -4*c - 6. Put 7, c, 32, 2, -14 in descending order.\nAnswer: 32, 7, 2, c, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12.633, 1\/5, -212\/137, 5?\nAnswer: 12.633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(f**2 + f**2 - 4*f**2)*(-4*f + 2887 - 2887).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 339? (a) -1\/9 (b) -24 (c) -1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -449\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -13 - (-13 + 50 + -266 - -108)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26*22940622\nAnswer: -596456172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5 = 19 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 11*h + 7. Let p be 4 + 0 - -9*(-2)\/(-6). What is the tens digit of m(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/19)*q**(-6\/29))\/(q**29\/q)**(-13\/6) assuming q is positive.\nAnswer: q**(100462\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1856 - -1864)*(-3)\/(-24)*46\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -303, -10, -3, 0.2?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*q + 6. Let j(h) = -h**2 - 9*h - 11. Let t be j(-7). Suppose -6*v = -4*v - t*g - 15, 3*v - 20 = q*g. Solve -4*w = -v*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -25\/104?\nAnswer: -25\/104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (2 - (-3 - 1)). Suppose 4*r + 1 + 5 = -2*h, 8 = -2*r. What is the remainder when (-2 - v)*(-3 + 6) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25634 - 25634.031246. Let v = p - -0.031. What is v rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*h + 1221020, 0 = 3*u - h - 243018 - 1588487. Round u to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2 - 21*m - 3. Suppose -45 = -36*c - 225. Let v be y(c). Solve -3*t - v = 2*g - 10, -4*g + t + 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21854310 rounded to the nearest 100000?\nAnswer: 21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 4. Let i(u) = 2*u - 7. Let l be i(5). Let j = 4 - l. Sort w, j, -5 in descending order.\nAnswer: j, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22345\/9 or 2482?\nAnswer: 22345\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042966 to 3 decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = 8*k. Let o(g) be the first derivative of 1\/8*g**6 + 0*g - 1\/4*g**k + 3\/20*g**5 + 2 + 0*g**2 - 3\/16*g**4. Factor o(s).\nAnswer: 3*s**2*(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26484443\/74643940 + -1383\/11116. Let m = t - -36\/79. Which is the nearest to 0.1? (a) 0.4 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c)**35*(c*c**(-2\/3)\/c*c)**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-2)*12880000\/(-21). Let m be (-30)\/9*c\/(-1). Suppose -3*b + 7*b - m = 0. Round b to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 11 - 169*t - 102*t - 112*t + (t - 3*t - 2*t)*(12 + 14 - 8).\nAnswer: -455*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 257078\/20085 - -2\/4017. Let d = 67\/5 - j. Let w be 3\/(-3)*2\/12. What is the third smallest value in d, -2\/13, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2024 and -41\/7744.\nAnswer: 178112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109034 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/50 and -77\/461630.\nAnswer: 2308150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 70*b. Let v be h(-5). What is v rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -27. Suppose 0 = -19*c - 120 + 728. Suppose 36*n - 264 = c*n. Calculate the remainder when n is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5902.457 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/96*62)\/(456\/3). Let f = -1\/341 + 533\/65472. Let x = f - w. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r + 10*r - 2*r)*(14 + 13 + 2 + (1 + 3 - 1)*(-2 - 3 + 3 - 3 + 3 - 2 + 1 + 3 - 6 + (-6 + 3 + 1)*(-1 - 1 + 0) - 3 - 4 + 5))*(r - r + r**3).\nAnswer: -170*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 66. Calculate y(32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -39. What is the remainder when 33 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -36 + 36 - 19*n. Let j(o) be the first derivative of o**3\/2 - 212*o - 1. Let b(d) be the first derivative of j(d). Calculate b(h(v)).\nAnswer: -57*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10997062*z**5 + 3*z**3 + 2158*z**2 + 2*z - 4041.\nAnswer: -659823720*z**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31059119 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004873 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -41. Suppose 0 = -r*c + 273 + 69. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 100698.893.\nAnswer: -10069.8893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmm when three letters picked without replacement from {m: 7, j: 5, r: 2}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/343 - 64\/(-28)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -6. Let g = 14 - q. Suppose g*z + 84 - 288 = 0. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*-2*sqrt(833))**2*6.\nAnswer: 719712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*k)*(117*k - 1157*k - 59*k - 1618*k + 91*k) in the form q*k + w*k**2 + b and give w.\nAnswer: 5252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0874 + 0.2126. Which is the second biggest value? (a) -40 (b) -4\/7 (c) 0.5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*a = -4*l - 27, 4*l = 3*a - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -269*c**6\/3 + 43*c**3\/2 + 12*c**2 + c - 655. Find the second derivative of k(l) wrt l.\nAnswer: -32280*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6274734602 rounded to 5 dps?\nAnswer: 0.62747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4 + 236*d**3 - 1624*d**2 - 3776*d + 24960 = 0.\nAnswer: -65, -4, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1906*p + 40745. Determine q(22).\nAnswer: -1187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4172190 and 770?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36.1*-37\nAnswer: -1335.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/10 - 5\/(-3). Is 0 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31325579, -31325572, -31325551, -31325510, -31325443?\n\"Answer: s**3 + s**2 - 3*s - 31325578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 30 - 27 - 4*i. Let n be u(3). Suppose y - r - 57 = n, 4*y - 5*r = 2*y + 123. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 150, 468, 1070, 2052, 3510, 5540, 8238?\n\"Answer: 16*i**3 - 2*i**2 + 24*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1445?\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 160*o**2 - 169*o**2 + 3.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/30 and -13\/32.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(140)\/sqrt(4))\/(sqrt(60)\/sqrt(300)) + (sqrt(1715) - (sqrt(1715)*-1 + sqrt(1715)))\/(sqrt(5) + -2*sqrt(5)*-6).\nAnswer: -123*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 + 3*f**3 + 0*f**3 - 8*f**2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + o + (-3*o + 4*o + 0*o)*(0 - 5 + 3) - 1 - 2*o + 1)*(0 - 4 + 3) in the form c + t*o and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110101 + -1001100100101101110?\nAnswer: -1001100101100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 6*l**2 + l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-24)*34\/(-850)*-36\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -11. Let v(c) = -c**3 - 6*c**2 - 6*c - 2. What is the smallest common multiple of v(-5) and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -534478 bigger than -534460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 2*q**6\/15 + q**3\/2 + 8*q. What is the second derivative of a(f) wrt f?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 0*y + 0*y - 1 + 1 - 3*y**2 + (-3*y + 0*y + y)*(2 + 2*y - 2) + 6*y**2 - 3*y**2 + 0*y**2)*(-5 + 4 + 3) to the form o*y**2 + h + r*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*y**2 + 11*y - 4258 with respect to y.\nAnswer: 94*y + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:01 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*k - 22, -2 + 3 = -k. Suppose -3*z + 334 = l*u, 3*u - 203 + 2 = -2*z. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5487, 10721, 15955, 21189, 26423?\n\"Answer: 5234*t + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 y when three letters picked without replacement from {y: 7, k: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 103 - 6)*(3 - 11*g - 3).\nAnswer: -1606*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -8, 29 = 53*m - 58*m + 2*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.60405 to 2 decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101 (base 6) to base 7.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h + 11. Let j be p(12). Let y = 91 - j. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-3 - -2))\/((-33)\/11).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.565 * -0.02794.\nAnswer: 0.8539861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 425, -2, -9, 3 in descending order.\nAnswer: 425, 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -5*j - 1\/2*j**2 - 1\/30*j**6 + 0*j**3 + 0 + 0*j**5 + 1\/6*j**4. Solve u(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51840000 to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -165059, -0.81, -13\/5?\nAnswer: -165059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 13*b**2 - b + 0*b**2 to v*b + u*b**2 + f and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 10. Suppose 2*y - q = -12. Suppose -3*o = 5*s - 23 - 23, 3*s - 24 = -y*o. What is the remainder when s is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjd when three letters picked without replacement from {l: 1, g: 1, d: 3, j: 3, x: 1, s: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307629?\nAnswer: 3, 7, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w - 1. Let v(o) = 2865*o + 371. Let g(y) = -10*s(y) - v(y). Differentiate g(u) with respect to u.\nAnswer: -2965","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.2, 3426352, 5 in ascending order.\nAnswer: -13.2, 5, 3426352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 983123670 to the power of 1\/3, to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + t + 8*t - 4*t - 4*t.\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmo when four letters picked without replacement from {o: 1, m: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 16*z**2 + 5*z**2 - 3.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -22*x**2 - 2*x. Calculate i(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22211718.2259982 from -4.\nAnswer: -22211722.2259982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 418476 and 935894?\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15143 - 12114393\/800. Let c = -3447\/800 + x. Calculate the common denominator of -89\/18 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10914251 is divided by 170535?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**2*v**3 + 2*f**2 - 2980*f*v**4 - 2*f + v**2 - 27 wrt v?\nAnswer: -6*f**2 - 71520*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-2) - (-210)\/5?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 366, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85376058 divided by 3.\nAnswer: -28458686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -660040.351 to the nearest one hundred.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.103+-29214802\nAnswer: -29214801.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**20*r)**(-49)\/(r**(1\/4)*r*r\/(r*r*r\/r**(-4)*r*r*r*r)*r*r))**(11\/4) assuming r is positive.\nAnswer: r**(39105\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmr when three letters picked without replacement from {r: 2, m: 2, f: 1, z: 1, g: 1, v: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 661.4854l?\nAnswer: 661485.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 7:44 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 0. Suppose n = 3*u - 26 - 7. Suppose -4*z = -4*h + 44, 4*z - 66 = -5*h - u. What is the highest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157837590 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*u + 10 = -3*f - 111*u, -3*u = 4*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/57085 and 44\/44085?\nAnswer: 503318445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and -1.7563?\nAnswer: 6.2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29491, -58980, -88473, -117970, -147471, -176976, -206485?\nAnswer: -235998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*j - 7*j - 87, -5*i + 80 = -4*j. Which is greater: -27 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 2*g + 2*g - 1800*g**2 - 1 + 0.\nAnswer: -1800*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-20))\/g**(-1))\/(g**(-2\/7)*g)**(-1\/46) assuming g is positive.\nAnswer: g**(-5469\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 1. Let i be z(-4). Let a be ((-96)\/10)\/(-1)*5. Does 14 divide (a\/10 - 2)*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 0*n)*((-6*n + 0 + 0)*(2*n + 3 - 3) + 4*n**2 - 5*n**2 + 0*n**2).\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333213 is divided by 2975.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 2*i - 79. Let p be o(0). Let u = p + 108. Suppose 0 = 2*c - 71 + u. Calculate the remainder when 60 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8634, -17267, -25900, -34533?\n\"Answer: -8633*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**3 + 70*i**2 - 24. What is w(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 10 - 388. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -10.8. Let m = c + -0.20000015. Round m to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2141 and -1.7211794939?\nAnswer: 1.5070794939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 4\/(4\/(-1)). Let k(r) = r**3 - 2*r**2 + 2*r - 3. Let u be k(p). Let l be (5 - (-3 - -3)) + u. Solve -4*q + l*q + 3 = g, q = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 14*m**2 + 5*m + 1. Let k(l) = 15*l**2 + 2*l + 1. Determine 3*k(z) - 4*u(z).\nAnswer: -11*z**2 - 14*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9}. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*z**4 - 11*z**5 + 44*z**4 + (-6*z - 11*z - 5*z)*(-3*z**4 + 0*z**4 + 2*z**4) - 2 - z**5 + 2.\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 97685450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + 3*x + 4. List the prime factors of b(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168144 and 74772.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 2*q**3 + q**2 + 2. What is the second derivative of o(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*x + 21 = 0, 92*o = 95*o + 3*x - 18 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25243501 (base 6) in base 13?\nAnswer: 226aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6640*o**3 - 10235*o**3 + 54313*o**3 + 113887*o**3 + 8685*o**3.\nAnswer: 173290*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197 or -191?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -4350550?\nAnswer: -4350545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -21032?\nAnswer: -21053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -482639\/210 - -6896\/3. Let u = -5\/18 - -17\/45. Let s = u - c. Sort 0.5, -0.1, s.\nAnswer: s, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 2, g: 1, x: 1, o: 1, i: 1}. What is prob of sequence go?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 575465057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - 0.35. Let i = -704467 - -704466.5999997. Let k = i - x. What is k rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/21)\/(-11*(-220)\/63888).\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 971 divide 785025341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + d**2 - 2*d**2)*(-2552 + 1273 + 105*d**2 + 1278).\nAnswer: 105*d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p + 6 + 1 - 4 + 2*p**2. Let i = 469 - 474. What is the remainder when 10 is divided by b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10 - 1786*x**3 - 9 - 12*x**3.\nAnswer: -1798*x**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/(-7) - (0 + -2). What is the closest to 2\/7 in t, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((3 - (-1 + 0))\/(-2)). What is the closest to a in -2, -5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(5*10\/750)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.797 - -62.343. Let j = o + -64. What is the second smallest value in 0, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 112*o - 1112. Determine k(12).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280694 - 3099568\/11. Let w = i - -229859\/209. Let m = -3535\/171 + w. What is the common denominator of m and -29\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393333888 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17013775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -386, -6, 577 in decreasing order.\nAnswer: 577, -6, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -12. Let l = -210 + 195. Let y(q) = q**3 + 14*q**2 - 18*q - 23. What is the least common multiple of y(l) and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1099*l**2 + 4*l - 4. Let h(d) = d**2 - d + 1. What is 4*h(s) + k(s)?\nAnswer: -1095*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(2\/9)\/p))**(3\/4)\/(p**7*p**(-5\/3)))**(-18) assuming p is positive.\nAnswer: p**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from {w: 2, o: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:11 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u - 3 + 0 + 3*u. Let j(n) = 21*n + 13. Let q be (3 - -1) + (-3)\/((-3)\/(-2)). Let g be (-18)\/(-6) + q - 11. Give g*j(t) - 26*c(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11000284?\nAnswer: 2, 2750071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 110072\nAnswer: -110071.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108905208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 33*u**2 + 2 - u + 3*u - 32*u**2. Let a(g) = -3*g**2 - 6*g - 7. Calculate -2*a(x) - 7*f(x).\nAnswer: -x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-1275)\/4)\/25 - 10)*(3 + 72\/(-21))\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 21. Suppose 0 = -3*u - u + 5*w + 3, c = -2*u - 4*w + 8. Solve u*l = -2*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - -3)*(-1)\/2*-5. Suppose 0 = -3*c + g - 8. Let o(y) = -y**3 + 3*y**2 + 5*y - 2. What is o(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)*(-4 - -4)\/((-3)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 874 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0.5, 1\/12, 135\/26?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5857663 and 240164183.\nAnswer: 240164183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 a factor of 3203986480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 220*a - 2268. List the prime factors of o(80).\nAnswer: 2, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11745)\/(-120) + 0 + 2\/16. What is the highest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/30 - d**5\/60 + 3*d**2. Let j be i(1). Suppose -q - 3 = 2*q. Sort q, 3, j.\nAnswer: j, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 25*b**2 - 24*b - 9. Give r(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -13. Let u(a) = t - 1 - 14*a - 4. Give u(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**4 + 3*a - 3*a**3 - 3*a**4 + a**3 - a to the form c*a**4 + r*a**3 + j*a + k + z*a**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(23\/1 + 2). Let y = -82 + 126. Let r = y + o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(1 + -2))\/((-1)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 358, 0.1, 0.5?\nAnswer: 358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -2. Let h be 7 + (0 + 2)\/y. Suppose 2*z - h = 2. Solve -11 = z*j - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + 5 + -1 + sqrt(8))**2 + (3*sqrt(352))\/(sqrt(110)\/(sqrt(60)\/sqrt(6))).\nAnswer: 9 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/20 - 3*p**4\/4 + 4*p**3\/3 - 3*p**2 - 30*p + 2. Let g be x(-10). Which is bigger: 89\/6 or g?\nAnswer: 89\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Let g(h) = -2*h**3 - 11*h**2 + 4*h - 8. Let i be g(-6). Solve -103*b**2 - 2*b**4 + 108*b**2 - i + b**z = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2030 + 2*v - 2030. Let x(u) = -4*u**2. What is x(i(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**2 + 2*g + 53. Let m(j) = 10*j**2 + 2*j + 55. What is -4*b(f) + 3*m(f)?\nAnswer: -2*f**2 - 2*f - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -1591, -5466, -13043, -25564, -44271, -70406?\nAnswer: -105211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:08 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4939*u**2 - 9837*u**2 + 4911*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 603519 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: Let l(q) be the first derivative of q**3\/3 + 7*q**2\/2 - 15*q - 27. Let i be l(2). What is the remainder when 0 + 879\/9 + (-2)\/i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1647 and 390123?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -367, -1326, -2925, -5164, -8043?\n\"Answer: -320*n**2 + n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494277*o - 2723 - 2172 = -494395*o + 1005 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v + 19*v + 24*v - 3*v in the form w + n*v and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001319470025 rounded to 7 dps?\nAnswer: 0.0001319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21174 - 21174.1. Let f = -2 + 2.2. Suppose 0 = -4*p - i + 2 + 1, -3*p - 3*i = 0. Which is the nearest to 0? (a) n (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {p: 1, o: 2, w: 3, h: 1, l: 6}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33389\/7 + -4770. What is the second biggest value in -12, -3\/4, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111550 + -79274. What is the ten thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 56*t**3\/3 - 5*t + 11. Let m(l) = -l. What is q(m(u))?\nAnswer: -112*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (560\/12)\/(-14)*3. Let h be (-36)\/b + (-2)\/(-5). Solve -3*a - 1 = 3*q - h, -2*a + 4*q = -20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Let m(u) = 109374*u**3 + 3*u**2 + 4*u. Let v be m(j). Round v to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 96. Suppose 6*f**2 + b - 51*f**2 - 4*f - 15*f**2 = 0. Calculate f.\nAnswer: -2\/3, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*f - 42, -6*f + 5*f = -2*m + 24. Suppose 0 = j + 4*j + 4*z + 45, -5*j + 3*z = m. Which is the nearest to -13? (a) j (b) -0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lixj when four letters picked without replacement from lxweijx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32492 divided by 4.\nAnswer: 8123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:49 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 209818032*m**3 - 3668634089180760*m**2 - 21381827912167210711600*m - 64145450718800494594500.\nAnswer: -4*(m + 3)*(m + 17484835)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14964, -14960, -14960, -14970, -14996, -15044, -15120?\n\"Answer: -v**3 + 4*v**2 - v - 14966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780353 is divided by 92?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biiiwitewibb. Give prob of picking 1 b and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k**2 + 2950*k + 23512. Calculate g(-8).\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53\/11 + -5 + 3159\/11.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 36848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(630)\/(-2*sqrt(90))*-2*2.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 = -3*v, h + 2*v - 11 = 10. Calculate the remainder when h is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 36*t**2 + 305*t + 17. Determine k(-17).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 8) in base 7?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/7 - 7386*c**2\/7 - 1630620*c\/7 - 1623232\/7 = 0 for c.\nAnswer: -208, -1, 3902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1032196.2, 0, -1\/4?\nAnswer: 1032196.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146372759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 204.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*p = -395999992, 4*t = 4*p + 144531553 + 251468455. Suppose -z - 2*z = t. Round z to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491831 is divided by 1242.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240118861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 divided by 367?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w. Suppose t + 3 - 12 = -2*h, 2*t + 2*h - 8 = 0. Let f be u(t). Suppose f*v + 4 = -0*v. Which is the biggest value? (a) -5 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, x: 2, u: 6}. What is prob of picking 2 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29686241 by 84097.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*t = 4, -1 = -i - 4*t + 4. Let y be 0 - -1 - (i + -2 + 5). Let v(o) = -2*o + 13. Let d be v(y). Calculate the highest common factor of d and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyp. Give prob of sequence yp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(5))*-4 - (sqrt(45)*-2)**2.\nAnswer: -180 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603264 (base 9) to base 5.\nAnswer: 42403301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/20 - p**4\/4 + p**3\/6 + 3*p**2\/2 + 3*p. Is 5 a factor of m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anaqnq. What is prob of sequence qnq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6935.82 and 1.3.\nAnswer: -9016.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/193831 and -87\/70484.\nAnswer: 775324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 78. Let g = -13 + d. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = -5*h + 13, -31 = -3*f - 5*h. Solve 2 = -f*b + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -5, -34, 0.009, -14?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(126\/(-24)))\/(2\/(-7)). Suppose 4*w - 2 = d. Solve 2*l - 3 = -w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let g(s) = -s**3 - 5*s**2 + 4. Let v be g(d). Suppose 3*j - 5*j = 0. Solve i - v = -j*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 43, 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*i + 52*i - 142*i + (i + 0*i + 2*i)*(1 - 4 + 4).\nAnswer: -191*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*i - 31. Suppose 5*f + 19 = 5*y - 26, -y = -5*f - i. Let u be (-2)\/3 + (-4)\/f. Solve 3*m - 15 = -u*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.46, -3\/2, 3, 0.57, -4, -1?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42, -43, -42, -39?\n\"Answer: i**2 - 4*i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, -3\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*b - 3*b + 10*b - 52*b**4 wrt b?\nAnswer: -624*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r - 5*r - 1)*(6*r - 2*r + 2*r) - 29*r + 29*r + 19*r**2.\nAnswer: 7*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54903.\nAnswer: 3, 18301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**2 - 122*g - 28. Give a(15).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*a - 2 = -0*p, 2*p = -a + 5. Let f = p + 8. Let b be (f*-1)\/(12\/(-16)). Solve 0 = 3*m + b - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 53. Suppose 5*h = -3*a + 296 - 93, -y*h + 115 = -5*a. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -16\/315, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -338, 2\/37, 3\/5 in descending order.\nAnswer: 3\/5, 2\/37, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 18*f + 2. Let s be p(-9). Solve -g - s = -h, -4*h + 0*g = -2*g - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 4752.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r - 18. Let p(q) be the third derivative of q**6\/120 + 2*q**5\/15 - 5*q**3\/6 - 2*q**2 + 422*q. What is the tens digit of p(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8035*d**2 + 7689*d**2 + 2*d + 39 + 316 with respect to d.\nAnswer: -692*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-78)\/(-12))\/(2 + 11\/(-6)). Suppose 5*s = 46 + n. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 - 25*x - 64. Let p be u(-6). Let l(j) = -j**2 + 10*j + 6. Let v be l(5). Solve -p - v = 9*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -6.77?\nAnswer: 20.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -13066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -5 - 8) + (-1 - -17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 396004 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: Let m = 1.7 - 2.7. Let p = -43.1 + 43. Let k = 2 - 6. What is the nearest to p in 3, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5093\/4 - -1264. What is the common denominator of 95\/18 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 8107714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 16*a + 6. Suppose 20 = 3*r + 7*r. Suppose -r*j - 24 = -3*j. What is the remainder when x(8) is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2888\/13 + 475649\/2145. Calculate the common denominator of 26\/135 and a.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5 + 198*p**4 + 420*p**3 - 810*p**2 - 417*p + 612 = 0.\nAnswer: -3, -1, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1491, -1489, -1485, -1479?\n\"Answer: y**2 - y - 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**7\/(n\/(n\/(((n**0*n)\/n)\/n*n))))\/(n**(-1\/2))**21)**(-2\/19))**(2\/69) assuming n is positive.\nAnswer: n**(-70\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.098*72.\nAnswer: -7.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10988 divided by 2?\nAnswer: -5494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, u: 4, k: 1}. Give prob of picking 2 u and 1 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 657 + -656.98609. Round o to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310628 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 19971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21635839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:22 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 104, 200, 352, 578, 896, 1324?\nAnswer: 1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2264528298 + 164.72?\nAnswer: -2264528133.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/34 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 46 = -21. Let c be (-96)\/(-10) + 18\/45. Sort 4, c, l in ascending order.\nAnswer: l, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/150 + v**4\/6 - 8*v**3\/5 + 26*v**2 - 18*v. Let z(y) = 0. What is y?\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*n - 25 = 0, 6886*p - 15 = 6887*p - 3*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, -101, 5 in descending order.\nAnswer: 8, 5, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -1\/2*i**4 - 1\/3*i**6 + 0*i**3 + 0*i - 4\/5*i**5 - 23 + 0*i**2. What is u in z(u) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 19*f - 131. Let s(v) be the first derivative of -v**2\/2 + 5*v - 3. Determine s(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3520 and 127\/60?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40702508 times -1\nAnswer: -40702508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*i - 3*g, g = 2*i + 4 - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*9\/4 - (-5)\/10. Solve -3*o = -a - 6, l = -4*o - 2*a + 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/120 - p**5\/60 + p**4\/24 - p**3\/6 + 2*p**2. Let k be y(1). Suppose -5*a + 23 + 12 = k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/90 + 2*x**5\/45 - 30*x**2 - x. Solve m(t) = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047 a factor of 35341455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*d**4 + 62*d**4 - 22*d**4 - 1 + (17 + 13 - 22)*(0*d**4 - d**4 - d**4) to the form n + h*d + z*d**3 + i*d**4 + p*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-16 - (-4 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -227766 + 227766 + 11*z as t*z + q and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 11 - ((0 - 3) + -4 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(153)\/sqrt(36) + (sqrt(170) + sqrt(170) + 1*sqrt(170)*6)\/sqrt(10))**2.\nAnswer: 85*sqrt(17) + 5013\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 504*g - 802. Give c(0).\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 377, 378, 379, 380, 381?\n\"Answer: n + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005719656496 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 4*g - 4*g)*(23 + g + 2*g - 26).\nAnswer: -3*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 5*d + 26, -4*d - 16*k + 148 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 + 12*r**2 + 120 - 3*r**2 - r**4 - 8*r**2 - 3*r**2 to the form p*r**2 + z*r**3 + n*r**4 + m*r + y and give y.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3.04. Let p = f - -0.18. Let m = 0.1 - p. Round m to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -0.2, 4, 12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 26*v**3 + 17*v**2 - 17*v + 67. Let n(t) = 9*t**3 + 6*t**2 - 6*t + 22. Give -6*l(y) + 17*n(y).\nAnswer: -3*y**3 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*i**3 + g**3*i - 27*g**2*i**3 + 41*g + 6*i wrt i?\nAnswer: 6*g**3*i - 162*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - m + 8, -16874*m + 16879*m + 17 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*i - 3*p, 20*p - 12*p + 7 = 25*i - 24*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**3 - 612685*j**2 + 18818369400*j - 3013896931920 = 0.\nAnswer: 161, 61188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 6:18 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3725144 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*t - 10 = -159*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.13 + -1.74. Let k = -1.61 - o. Put -0.02, -0.3, -2, k in increasing order.\nAnswer: -2, k, -0.3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*o**6 + 6*o**3 + 151*o**2.\nAnswer: 11040*o**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-20)\/40*2\/2*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 188\/3. Which is the closest to -0.1? (a) -2 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 170296585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 7*f - 23. Let r be c(-11). What is the highest common divisor of r and 1344?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 509\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 19*l + 2200. Determine f(35).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -179203?\nAnswer: 17920.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 - 2*a + 3. Let z(q) = -q**2 + q. What is p(b) - 3*z(b)?\nAnswer: -b**2 - 5*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.3 (b) -3\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-369)\/45 - (3\/30)\/(5\/40)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 9*l + 17. Let v be d(-8). Let u be 146\/v - (-14)\/(-63). Solve 5*j = -10, -2*n - u = 2*j + 2*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4230361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.913 and -0.04222.\nAnswer: 0.03854686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*a + 198. Suppose -5*y + 5*f = 65 - 315, -3*f + 85 = 2*y. Suppose 5*j - a = y. What is the least common multiple of 18 and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1596 and 17536084.\nAnswer: 6996897516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -75*k - 165. Let r be j(-5). What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1363*p + 34*p - 675*p - 684*p.\nAnswer: -2688*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2540, 10144, 22814, 40550?\nAnswer: 63352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2 + -3 - -4). Let o be ((-18)\/45)\/(g\/(-10)). Solve -p + 5 = -o*s, 5*p - 3*s - 5 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.268 - 6.271132. What is t rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:13 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2061, 2054, 2047, 2040, 2033?\nAnswer: 2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s - 98. Let v be m(13). Let k(h) be the second derivative of 1\/20*h**5 - 2*h**2 + 1\/2*h**4 - 2*h + 0 - 7\/6*h**3. What is k(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7500 is divided by 7338.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 6*s + 10. Suppose -2*r + 20 = 2*r. Let w be m(r). Solve 5*q + n - w = 0, 0*q - 4*n = -3*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hccchccchchhhcchhhhc.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7114 + -42595\/6. Find the common denominator of f and -125\/2898.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 24. Let f be m(5). Suppose 0*b = -2*g - 5*b + 22, 33 = 3*g + f*b. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.152 + -30.146025?\nAnswer: -29.994025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.4 - -2.4. Let j = t + 22. Let k = j - 9. Which is the smallest value? (a) -1\/4 (b) k (c) 0 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9811 - 0.0189. Which is the smallest value? (a) -567 (b) -0.13 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**3 - n**2 + 5*n + 6. Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2394403 + -36.83\nAnswer: -2394439.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*q - 78*q = -5*j - 58966, 20 = 5*j. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67176 divided by 108\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64658 = -1740*g + 3758 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 706740 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7182281 not equal to -7182283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjjj when four letters picked without replacement from {z: 4, j: 9, q: 2, n: 1, b: 3}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5 + 26*o + 11)*(0 + 3 - 1) as m*o + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3*1*(-357)\/(88893\/1826).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 8. Suppose 2*q - 2 = -b - 0*q, -4*q = -2*b + 28. Let j be u(b). Let x be j - (4 - 2 - 2). Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -5 (c) 52.61 (d) -0.2 (e) -0.1 (f) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*a, -a + 15 = -6*a. Let z(t) = -2 - 8*t + 3*t - 2. List the prime factors of z(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498508 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.0172.\nAnswer: 0.4828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**8\/23520 + q**6\/2520 - q**4\/12 + q. Let z(a) be the third derivative of l(a). Solve z(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410345 divided by -107?\nAnswer: -3835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 5. Let j be p(1). Let i be (1 + -2)\/(10\/(-4)). Put -0.1, j, i in decreasing order.\nAnswer: i, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -18*r + r**2 + 10*r - r**3 - 4 + 17*r + 6*r**2. Let z(q) = 8*q**2 + 4*q - 4. Let u be z(1). Determine c(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2937.\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14635403.\nAnswer: 14635403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -5 - (-2 - -3). Let d = 0.13 - 1.13. Let j = 16.26 + -15.96. Which is the nearest to -3\/5? (a) d (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*u**2\/6 + 5242*u\/3 - 139342.\nAnswer: (u - 74)*(11*u + 11298)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618008 is divided by 515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 6*d + 8. Let m(u) = u**2 - 5*u - 7. What is -5*m(p) - 4*t(p)?\nAnswer: -p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + (13 - -22) + -24 + -3 + 0 + 13?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(2349\/(-58))*2\/(-84))\/(2\/(-564)).\nAnswer: 94\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y + 15. Let q(h) = -4*h + 7. Let t be q(y). What are the prime factors of (-12)\/(-30) + (-73)\/t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 1. Let t(d) = -5*d + 35. Let b(f) = -4*o(f) + t(f). List the prime factors of b(11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17418*i + 17151*i - 35215*i in the form c + w*i and give w.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56565 and 540.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 16*o**9\/63 + 58*o**5\/15 - 58*o**2. Find the third derivative of u(w) wrt w.\nAnswer: 15360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -3246.\nAnswer: -1\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11046556 and 1812.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**5*t + 3*k**3*t**2 - 18*k**2 + 5867*k*t**2 wrt k.\nAnswer: -60*k**3*t + 18*k*t**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*g + 1900 = 1200, c + 4*g - 308 = 0. What is the remainder when c is divided by 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*i + 3*c, -3*c = -i + c + 8. Solve 0 = l - 5*b - i, 3*l + 4*b = -7 - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n = 3*x - 1, 0 = -2*n - 3*x - 5. What is q in -n*q**3 - 35*q**2 + 1 - 26 + 7*q**3 + 55*q = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17906467 is divided by 69?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -2, 208231 in decreasing order.\nAnswer: 208231, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*o - 4, -o = 2*a + 4*o - 11. Suppose 0 = 4*h - 5 + 21, 4*h = -5*t - 46. Let z = t + a. Solve -z*x = -j - x + 3, -2 = 2*j + 2*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -266*u - 1317. Determine l(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7559 - -121?\nAnswer: -7438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 993, 2280, 4147, 6882, 10773, 16108, 23175?\nAnswer: 32262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -42*l**3 - 34*l**2 - 15. Let i(w) = -41*w**3 - 35*w**2 - 12. Let v(p) = 4*i(p) - 3*r(p). Find the third derivative of v(b) wrt b.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -67 - 374. What is the remainder when o is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37517823 and 98260965?\nAnswer: 2063480265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(135\/(-50))*6\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - n = 60. Let o be (-36)\/n - 1\/15*-9. Determine l so that -9\/5*l**3 - 3\/5 - o*l**2 - 3*l = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14251037.\nAnswer: 59, 241543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 394 + 14. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, a: 2}. Give prob of picking 2 d and 2 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271.4391*0.1.\nAnswer: -27.14391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 53, 8, 1 in ascending order.\nAnswer: -5, -3, 1, 8, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 937204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.8 + 17. Let b = d + 6. What is the second smallest value in 5, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**2 - 14*d - 19. Let h(f) = 19*f**2 + 27*f + 41. Calculate -6*h(p) - 13*k(p).\nAnswer: 3*p**2 + 20*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23261450 (base 8) to base 13\nAnswer: 10875a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 9. Let r be d(0). Let n(j) = -21*j + r*j + 12*j + 2*j**2. Let h(x) = 5*x + x**2 - 5*x. Give h(n(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 31 - 66 + 34 - 8*b - 6*b. Let g(z) = 38*z. Determine g(r(y)).\nAnswer: -532*y - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-30) - 47\/6. Let j be ((-16)\/18 - -1) + 1\/(-3). Which is the second biggest value? (a) j (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 17*i + 9. Is y(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 330\/20 + 2\/(-4). Let b = 9 - 6. Solve -4*u - 3*p + p = -18, -b*u + p = -w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 20 = -2*d. Let w = d - -17. Let k be (33\/(-9) + 4)*-1. Is k at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*s**4 - 11*s**4 - 8*s**4 + 2*s**3)*(0*s - s + 0*s + 0*s + 2*s - 4*s + 0 + 0 + 2*s + (-s + 2*s - 3*s)*(1 + 2 - 2) + 2 - 2*s - 2 - 3*s + 2*s + 3*s).\nAnswer: -15*s**5 - 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 14) to base 7\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(567)*1 - sqrt(567) - sqrt(567))*2)\/sqrt(9))**2.\nAnswer: 12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -27, 2.9, 1\/9.\nAnswer: -27, 0.02, 1\/9, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**7\/4200 - c**6\/600 + c**5\/200 - 7*c**4\/12 - 4*c. Let b(r) be the third derivative of o(r). Solve b(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1100117, -2200237, -3300357, -4400477, -5500597?\nAnswer: -6600717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22865 = -5*d - 5*c, d - 3987*c + 3991*c - 4582 = 0. What is the third smallest value in -4, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 + 9 + 11 + -13 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwtccywvwvct. Give prob of sequence ytwt.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46111855?\nAnswer: 5, 53, 174007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-15) + (-28)\/20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -3 - (-2 - 0). What is the fourth smallest value in 0, w, 1, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -14. Suppose -u - 3 = -q. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - (-54)\/(-5)) + 0 + (-80)\/25. What is the nearest to k in 3, -2.2, 1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 3*p**3 - 2*p**3 + (15 - 23*p - 15)*(-3*p**2 - p**2 + 6*p**2) - p**3 - 2 + 2 + (0*p**2 - p**2 + 3*p**2)*(p + 2*p - 5*p).\nAnswer: -49*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 369480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 259286721 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q**2 + 3)*(449*q - 896*q - 298 + 445*q).\nAnswer: -2*q**3 - 298*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/95046 and -53\/24.\nAnswer: 380184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 13 = -5*g, g + 2 = -0*g + 5*f. Let x(u) = 6*u - 5*u - 3*u + g. Give x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (3*sqrt(2304) - sqrt(36)))\/(sqrt(24)\/sqrt(2)*-3)*2.\nAnswer: 44*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000247482 to 7 decimal places.\nAnswer: 0.0002475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-2 - -19) + -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 1, q: 1}. Give prob of sequence kqa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -3*o**5 - 5*o**4\/4 + 105*o**3 + 405*o**2\/2 + 100*o + 2002. Let s(k) = 0. Calculate k.\nAnswer: -4, -1, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -9. Let m = -3 + s. Let o = -0.3 - -0.2. Is o > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 810973384*p**5 + 1024934751*p.\nAnswer: 16219467680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((6*-1*sqrt(1400)*3)\/(sqrt(40)\/sqrt(80) - (sqrt(8) + 6*sqrt(72) + sqrt(8))))**2.\nAnswer: -2721600\/6241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24 * -111.99982\nAnswer: 2687.99568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11816 - 11828. What is the closest to -1 in 0.3, p, 8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-14)*1316\/(-282). What is the greatest common divisor of 222 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/185 and -99\/40.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(-31)*d*d**(-8\/7)*d*d**(-16) assuming d is positive.\nAnswer: d**(-207\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -6 (c) -89\/4 (d) -41 (e) -4.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**2 - 18105*m - 243000.\nAnswer: 3*(m - 2025)*(3*m + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120107\/12 + 10001. Suppose f = k + 6, -4*f + 5*k + 0 + 27 = 0. What is the common denominator of h and 36\/16*11\/f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1344*z - 83318. What is h(62)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/61)\/f*f**(-17)*f*f**(4\/11)*f\/(f\/(f\/f**(5\/3))))**30 assuming f is positive.\nAnswer: f**(-348970\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w + 8*w - 8*w + 2*w - 3*w + 2*w - 1 - 2*w + 1 + (-2 + 0 + 3)*(2*w + 2*w - 3*w) - 2*w + 1 - 1 + 0*w - w + 2*w)*(4*w**3 + w**3 - 4*w**3).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*o + 135*o = -24. Calculate the remainder when 22 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 1*sqrt(128).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*b + 94 = 0, -2*b = 2*r - 3*b - 97. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(-4*(sqrt(72)\/sqrt(6) + sqrt(12))))\/(-5*sqrt(2816) - sqrt(2816)).\nAnswer: sqrt(3)\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2) + (-1 + sqrt(2))*2 - sqrt(2)) + (sqrt(200) + -1 + 1)**2 + 4.\nAnswer: 2*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - ((-6 - 0 - -20) + 1)) + -62.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 + 0.01. Let g = 43235 - 43235. Which is the nearest to -0.3? (a) f (b) 1\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v. Suppose v = -4*i - 2*k + 20, -i - k - 1 = -8. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j + 45. Does 26 divide g(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) -39 (c) 142\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*163.\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -61102.13364 rounded to 0 decimal places?\nAnswer: -61102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Suppose x*c + 11 = -53. Let d = 28 - c. What is the highest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192365 is divided by 782?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.8848 kilometers to millimeters.\nAnswer: 58884800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 937230.8 decades?\nAnswer: 93723.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 - 6469*u + 23 + 6402*u + 44.\nAnswer: -67*u + 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaoaowaawaaa.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-4887)\/(-315) - (-2)\/7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.37982+1446045.8\nAnswer: 1446045.42018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252992?\nAnswer: 2, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -33*u - 268. Let q be j(-8). Sort -16, 4, q.\nAnswer: -16, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4\/3, 1\/3, -2 in ascending order.\nAnswer: -2, 1\/3, 4\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-30)\/(-60)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/7)\/(1*(-10)\/35)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2224925 (base 11) to base 12\nAnswer: -13815aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 30 - 12 = 0. Let l be (-2 + -1)*6\/t. Let k be -1 + -1 - 212\/l. Calculate the greatest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = v, -4*v + 0*s + 12 = -3*s. Let o be ((35 - 1) + 2)*1. Suppose -o = -4*u - 4. Solve v = -n - n + u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*c + 2*c - 2*w, -2*c = 2*w - 52. Let o(u) = -u**2 - u + 8. What is the remainder when c is divided by o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 greater than or equal to 1147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16d + -343?\nAnswer: -4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 71. Let w = 43 + k. Let v = -93 + w. Solve 17 = -v*c - 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8520?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*g - 157, -40 = -2*g - 3*q + 43. Let a = g + -22. Let f = 4 - -1. Solve 0*o = -f*o - a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/5)*q**(-10) assuming q is positive.\nAnswer: q**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 4302?\nAnswer: -4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 48 = -y, r = -3*y - 0*r - 74. Let s = 38 + y. Let j be 88\/(-10)*s\/(-6). Solve j = 2*p + 4*x, 0*p - 29 = -4*p - 5*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - q**2 - 2*q**2 + (5 - 2*q - 5)*(-2*q + 4*q + 4*q - q + 0*q + 3*q + (1 - 2 + 0)*(-q - 2*q + q)) as z*q**2 + b + u*q and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2*f**2 - 2*f**3 + 3 + 202*f + 213*f - 417*f. Let n(v) = v + 7. Let o be n(-5). Calculate q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -64, -111, -176, -265, -384?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 332069702 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 a factor of 217489779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 2*p**2 + 6*p**2. Let v(x) = x - 2. Let t(l) = 2*l + 1. Let i(n) = 2*t(n) + v(n). Determine s(i(z)).\nAnswer: 275*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236246\/13 + -4505309\/156. Let x = 10700 + w. What is the common denominator of (-1)\/12*(-134)\/(-3) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -27*h**2 - 16*h + 74. Let v(m) = 26*m**2 + 14*m - 73. Let a(j) = 6*k(j) + 7*v(j). Is a(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000010010 + -101?\nAnswer: 100000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7413, -7411, -7409, -7407, -7405, -7403?\nAnswer: -7401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480659350?\nAnswer: 2, 5, 71, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21609855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574\/10 + 12\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0981 - -0.097213. What is k rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 47, 64, 99, 158?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 20017680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2387*w + 4804. Determine u(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(234\/(-4))\/(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/8 and (-570)\/80 + 1 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - w + 13. Suppose -2*p = p + 12. Let z be l(p). What is the greatest common divisor of z and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/26*(-2 - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -20*r - 7. Let h be d(-1). Suppose z - 11 = -2*u, -5*u + 4*z + h = -8. Solve 10 = 7*g - u*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 9) to base 14\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2 - 48*i + 189 = 0. Calculate i.\nAnswer: 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1355396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-12)*(-9)\/(180\/8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683779 is divided by 450.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71764645 is divided by 2936?\nAnswer: 2933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from {t: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3451 + 155*l - 86*l - 83*l + 3451.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4645335 (base 8) to base 2\nAnswer: 100110100101011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/14923347 or 11.1?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -31, -82, -171, -310, -511, -786, -1147?\n\"Answer: -2*o**3 - o**2 - 8*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 7*u + 12457. What are the prime factors of z(0)?\nAnswer: 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 13 - -9)*(-17 + 0\/(-7))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-3) - 2\/(-3). Calculate the common denominator of (81\/5)\/(9 + -5) and (-17 + j)\/(-13 + 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -39, 5, -1, 1, 2 in decreasing order.\nAnswer: 5, 2, 1, -1, -10, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.569 rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 >= 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*2*2\/4 + 1318 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 4965 = 0. Suppose 0 = 23*x - 18*x - u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -586.\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2913353\/5 + 579485. Let t = 3198 + i. Calculate the common denominator of t and -81\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2692*k**2*z**2 + 4*k**2 + 3*k*z**2 + 2*z**2 + 1351*z + 1 wrt z?\nAnswer: -5384*k**2 + 6*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 1. Let p(t) = 27*t - 26. Let n(d) = 2*o(d) - p(d). Let k be n(-9). Suppose g + 70 = b, 4*b - 3*g = -2*g + k. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76462?\nAnswer: 2, 38231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.31 and 0.009.\nAnswer: 0.00279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 8045.5 and 0.4.\nAnswer: 8045.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 77*a**2 + 103*a - 216. Give l(2).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87555 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37651 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: Solve 8 = 4*m - 4*g, -14*g - 14 = 3*m - 13*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/12 - (0 - 0). Let h = -191 + 192. Which is the closest to -1? (a) d (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-20)*4\/2*72\/(-72)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/180)\/(((-36)\/(-225))\/((-4)\/10))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55\/35 + (-4)\/((-84)\/9). Solve x - g = -z, 5*x + 0 = 2*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-16)\/((n**(2\/5)*n)\/n))**(-8))**(3\/20) assuming n is positive.\nAnswer: n**(492\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 287*a**4\/4 - 528*a + 394. Differentiate w(z) wrt z.\nAnswer: 861*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 620.99 - 621. Sort 2, -3, p.\nAnswer: -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/296 and -103\/222?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100111 (base 2) to base 10\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1015 = 5*n, 805 = 3*n + n + d. Suppose -205 - n = -5*j. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 21*n. Let y be k(-14). Let r = -32 - y. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 6 - (-2 + 0 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 63. Let q(c) = -c**2 - 9*c + 70. Let o be q(-14). Solve k*j - 6 = -o*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/(-231))\/(18\/546 - 0) and -8\/1309?\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 421 - -252. List the prime factors of g.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.0124.\nAnswer: 0.00248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 6:54 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*96\/(-60)*110\/44.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14854 = w + 3*z - 7511, 2*z = 30*w - 671318. Does 157 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**4\/2 - 8220*w**3 - 4910961*w**2\/2 - 2447262*w = 0.\nAnswer: -5163, -316, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1581442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1539 - 58 + 1597 - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (280 + 92*c - 280)*(-c**2 + c**2 + 2*c**3) in the form z*c + a*c**2 + r + s*c**4 + u*c**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 443*d. Let v(w) = -2*w - 821. Determine v(p(k)).\nAnswer: -886*k - 821","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - c + 1 + 10*c - 2*c. Let u be r(-6). Let f(o) = -o + 3. Does 4 divide f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 - 4*r + 9. Let k(j) = -14*j**2 - 11*j + 26. Let w(t) = -6*k(t) + 17*s(t). Suppose 3*u - 2*n - 2 = 0, u - 2*u + 2 = -n. Give w(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -574, 5, 3, 44961 in descending order.\nAnswer: 44961, 5, 3, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 3, u: 2, e: 2}. What is prob of sequence eer?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 82 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00682 to 4 decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9216 is divided by 229.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67180136.\nAnswer: 2, 353, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 2. Let s(d) = d + 6. Let q(f) = -s(f) + 3*w(f). Let x(v) = -2*v**2 - 7. Determine x(q(a)).\nAnswer: -8*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 348150 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5548\/2409 - (-4)\/(-6)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-4)\/(120\/(-290)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12837.\nAnswer: 3, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/((-6)\/((-12)\/(-11))). Solve -5*l + 14 = 4*z, 7*z - h*l + 6 = 9*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 22*d. Let g(v) = -v + 2. Let z(j) = 5*j - 11. Let x(q) = 11*g(q) + 2*z(q). Determine l(x(r)).\nAnswer: 2*r**2 - 22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -13. Suppose m + 0*m = a. Solve 4*v + 13 = q - 9, m*q = -4*v - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609521 is divided by 3070.\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20620154?\nAnswer: 2, 10310077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4 - 4*d**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + v**2 - 2*v + 7. Let l(h) = -3*h - 5. Let w be l(-3). Let z be b(w). What is the third derivative of -17*f**3 - 143*f - 23*f**2 + z*f wrt f?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21685497 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(272) - sqrt(17) - (sqrt(153) + 1) - (sqrt(119) - -3*sqrt(119)*-1)\/sqrt(7).\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7519*m**3*w**3 - 2780*m**3*w**2 + 2*m**2*w**2 - m wrt w?\nAnswer: -45114*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -0.3. Let i = 445 - 7567\/17. Put i, w, 4 in ascending order.\nAnswer: i, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 305 + -232014?\nAnswer: -231507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (16 + 11 + -1)) + 1 + 1\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/6 - 18\/(-54). Suppose 9*m = 2*m + v. Let c = -26 - -26.13. Is m > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1835 + 1833. What is the nearest to p in 0.5, 2\/7, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:07 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/11 + -19\/22. Suppose 0 = -3*p + p + 4. Suppose b + 2 = p*r, -r + 3*b = -b - 15. Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-5))\/((-2)\/((-110)\/11)))\/(5\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (30 - 7) + (1 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 1:39 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35792 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 880 (c) -144\/19 (d) 3 (e) 11\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3084*z - 3082*z - 57 = -3*g, 9*g = 2*z + 147 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 199, 904, 2079, 3724?\n\"Answer: 235*n**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 22897440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 15*j**2 + 15*j + 4. Calculate x(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11534445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, p: 2, r: 4, t: 1}. Give prob of picking 1 t and 1 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 56?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*a, 10*j - 1015 = 5*j - 5*a. What is the units digit of (j\/(-10) + -2)*55\/(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*l + 14570262 = 0, -2*v + v + l - 2914050 = 0. Let c = v + 1804054. Round c to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49130 divided by -2890?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {t: 2, r: 5, h: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 s, and 1 h when four letters picked without replacement from {g: 4, h: 5, s: 2, a: 1, k: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10651*s**2 - 2*s + 7. Let f be v(13). What is f rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13601 and -13602 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 369 - 369.3364. Let i = -0.0364 - o. What is the smallest value in -5, -7, -1, i?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**4 - 1 + 254*j**3 - 240*j**3 - 4*j + 4*j**4 + 7*j in the form q*j**2 + t*j + z*j**3 + n + u*j**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 19281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12500377 - -0.19.\nAnswer: 12500377.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + s**2 - s + 1. Let o be r(2). Let c = 19 + o. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 7 + 7*y - 5*y - 6. Suppose 0 = -4*p - p - 5. What is w(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-20)\/(-6) - 322\/(-21). Solve -6*u = -3*u - c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 120 = 2*j. Let d be (-1 + j\/22)*-3. Let x = d - 74\/11. Calculate the common denominator of x and 3\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 8*v + 33 = 0. Calculate the remainder when 25 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*t - 3055 = -159*t + 336*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-1 - (-3 + -4) - -12) + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*x - 4 + 1)*(2148 + 4834 + 1983 - 2840).\nAnswer: -18375*x + 12250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -310998333, -621996663, -932994993, -1243993323?\n\"Answer: -310998330*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -12, 6, 48, 120?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545 is divided by 771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 6*j**2 + 4*j - 1. Let w be 14*(((-9)\/(-6))\/3)\/(-1). Calculate the lowest common multiple of 12 and t(w).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/12 - 10*n**3\/3 + 109*n**2\/2 - 3*n - 6. What is the lowest common multiple of k(10) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u - 2. Calculate the greatest common factor of u and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40375522?\nAnswer: 2, 11, 166841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -962 and 1.\nAnswer: -961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*h = 138*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9775, 9745, 9715?\nAnswer: 9685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejjjccccjccjj. Give prob of sequence jjjc.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -7\/313 (c) -3\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2)\/(12\/(-84)). List the prime factors of i\/56 - (4710\/16)\/(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(12*1*(-16)\/48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4001456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 15 + 28 + 57*s**3 - 59*s**3.\nAnswer: -2*s**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3 - 2 - 5*i**2 + 4*i**2 - 17*i + 16*i. Let r(m) = -3*m**2 - m + 7. Let h(d) = -r(d) + 4*s(d). What is h(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -1\/7 (c) 58 (d) -1 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 3. Let h(l) = 13*l + 17. Suppose -5*n + 3*d + 31 = -2, -3*n + 3*d = -21. Calculate n*h(z) + 34*q(z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.2. Let w = -5788 - -5787.9. What is the nearest to -0.1 in -7, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 23*a - 498. What is k(25)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120222012 (base 3) to base 11.\nAnswer: -8824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1025 - 9\/18*-4. Suppose -k = -o + 18. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28190.\nAnswer: 2, 5, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348 is divided by ((-7659)\/92)\/((-3)\/16) + -2 + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*w + 176, 23 + 15 = r - 2*w. What is the remainder when r is divided by 4 - 15\/3 - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 16, 0 = -5*f - 3*v - 2*v - 40. Let o be 1*(8\/f - -2). Suppose o*x + 12 = 4*x. Solve -l + 2*k = x, -5*k = -3*l - 7 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 192.2 + -192.1996844. Round c to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 6, 2, -5, -2\/41, 4 in ascending order.\nAnswer: -14, -5, -2\/41, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23984 and 4.\nAnswer: 23984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 6*q - 6. Let i(p) = -p**2 - p - 4. Let r be i(0). Let c be y(r). Solve 5*l = -c*f - 5, -2*f - 3 = -5*f - 4*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6878, -13593, -20308, -27023, -33738, -40453?\nAnswer: -47168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leeeleeleelltlett. Give prob of picking 1 l and 2 t.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1498 + -357. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.272 - -1.18. Let j = -0.9 - k. What is j rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*w + 3 = 325*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 14*b**2. Let s(n) = 15750365*n + 2. Give s(g(k)).\nAnswer: 220505110*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 18*u**2 - 24*u - 20. Let i be p(14). Find the common denominator of (-4)\/2 + 945\/i and 97\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 2, c: 1, m: 4, e: 2, k: 3}. Give prob of picking 1 c and 2 q.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1694\/(-132)*(-3)\/(-110)*-5.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*a**3 - 54*a**3 + 6782*a**4 - 6773*a**4 + 1 + 2*a**2 in the form z + j*a**4 + x*a**3 + t*a**2 + g*a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/26*2252\/(-3). Suppose 5*k + g + 1298 = -0*g, 2*k - 5*g + 530 = 0. Let c = k + r. Do c and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 341, 509, 677, 845?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4 + 3 + 258*p**2 + 107*p**2. Is n(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 17\/3, -2.4?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000046535258 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4799 (b) 3.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 178050365 divided by -5\nAnswer: -35610073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 3. Let v(j) = j + 1. Let b(l) = 8*l - 1. Let f(q) = -b(q) + 2*v(q). Let x(i) = i**3 + 2. Let m be x(-2). What is m*f(r) + 7*o(r)?\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 10) to base 2.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 30489602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 4*x**3\/3 + 3*x**2\/2 + 15. Find the second derivative of s(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j**2 + j**3 - 52*j**2 + 27*j**4 - 30*j**4 wrt j.\nAnswer: -72*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2. Let r(j) = -4*j**2 + 14*j**2 + 14*j**2 + j**2. What is f(r(h))?\nAnswer: 625*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 59 + 0.17\nAnswer: 59.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27594 and 6132?\nAnswer: 55188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 251*w**3 - 2*w**2 - 17*w + 229. Is f(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 47293, -3\/13 in increasing order.\nAnswer: -3\/13, 23, 47293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**4 + 8*a**4 - 7*a**4)*(0 - 4 + 2).\nAnswer: -22*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + h. Let p be l(2). Suppose p = -2*y + 44. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*((sqrt(539) + sqrt(539) + sqrt(539)*-2 + 4 - sqrt(539)) + sqrt(539) + sqrt(539) - (-5 + sqrt(539)*-1)))**2*3.\nAnswer: 27216*sqrt(11) + 241596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 8*r - 1. Let b be o(8). Does -2 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*k - 4*s, 15*k + 13 = 19*k + s. Solve 3*q - k*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28061, 28060, 28059, 28058, 28057?\nAnswer: 28056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -16*o + 24. Let w(f) = f**2 + 1. Let n = -17 - -18. Let j(y) = n*w(y) + s(y). List the prime factors of j(23).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 116?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 41 = 5*i, -500*i + 505*i = -3*c + 13 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-8 + (13 - 10) - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**7\/105 - x**5\/2 + x**4\/6 + 7*x**3 + 32*x**2 - x. Find the second derivative of y(c) wrt c.\nAnswer: 24*c**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**8\/420 - m**4\/4 + 7*m**3\/6 + 5*m. Let h(j) be the second derivative of g(j). Differentiate h(z) with respect to z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.922658 to two dps.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222011 + 40954.973.\nAnswer: -181056.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -276898?\nAnswer: 276899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -428*x + 11556. Calculate n(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12*t. Let b(u) = -2*u. Let v(n) = 4*b(n) - f(n). Let a(i) = -i**2 + 6*i. Calculate a(v(g)).\nAnswer: -16*g**2 + 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 79 + 4*s + s - 4*s.\nAnswer: 2*s + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 735004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(14\/(-156))*7 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39\/(-21) + 2 - (-278)\/14 and (8\/14)\/(4\/14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 581, -2, -4\/5 in decreasing order.\nAnswer: 581, -4\/5, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -875*f**4 - 283*f - 2?\nAnswer: -10500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1.6 (b) 2 (c) -2\/9 (d) -7051\/2 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14610862.\nAnswer: 2, 7, 101, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 834\/15 + 2\/5 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {a: 1, q: 2, v: 4, g: 5, d: 2, x: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(704))\/(sqrt(4) - sqrt(44)\/(sqrt(11)*3 + sqrt(11))).\nAnswer: 32*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 19*i + 71. Let y be f(22). Suppose 4*s - 3*n + 2*n - 17 = 0, -3*s + 7 = y*n. What is the remainder when -5*((-2)\/2 - 0) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10912143?\nAnswer: 3, 11, 23, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853749 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 0)*106\/848*-16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4 - 3. Let h be (-16)\/(-24)*3*v. Let s be (-5)\/h + -8 + 5. Put -0.1, -0.07, s in increasing order.\nAnswer: s, -0.1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + (-7 - -69) - (8 - -3)) + -1 - -3.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + (sqrt(1584) + 0 - sqrt(1584)))*2 + -1 + 1 - ((sqrt(1584) + sqrt(1584) + -3)*1 + 5 + -4*sqrt(1584))**2.\nAnswer: -6340 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 16*s**2 - 10*s - 29. Let n be b(-15). Let l = n + 367. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1327*d**2 + 1 - 1 + 1321*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/352*(31 - -2) - 448\/80. Find q such that 18\/5*q + 4 - l*q**2 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g - 11. Is p(-3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79401 and 16107?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.11 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13+-271\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -18859 - 18866 + 37725 + 4797*j**2 in the form z*j**2 + i*j + f and give z.\nAnswer: 4797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y - 6. Let v be k(-5). Suppose -18*t = -23*t + 270. Suppose -41*g = -t*g + 910. What is the highest common factor of g and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose -2*n - 6 = 2*y - 0*y, -3*y - 9 = b*n. Let h be (5\/(-35))\/(y\/3). What is the second smallest value in 4, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.2 - 5.5. Let n = j - 3. Let m be (-2)\/(-2) - 2 - -2. Which is the closest to m? (a) n (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461 - 397 = -8*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y + 6, -4*v = 3*y + 2. Let f be (1\/v)\/(5\/(-10)). Let p = 5 + f. Solve 0*n = p*n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*f = -f - 4, 0 = c - 4*f + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.344721g?\nAnswer: 0.003344721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 231793.403 and 5?\nAnswer: 231788.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cck when three letters picked without replacement from kkcwwccckkk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 18 = -3*r, -5*v = -2*r - 18 - 1. Let t = 0.4822 - 0.4922. Sort 1\/8, t, -2\/3, v.\nAnswer: -2\/3, t, 1\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = o - 5*u, -5*o - 552*u = -551*u + 34 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52894156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Let z(y) = y**2 - 5*y - 1. Let x be z(9). Suppose -28 = -3*i - a, -c*i - a = -x - 9. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/15 + 4*u + 902\/15 = 0. Calculate u.\nAnswer: -11, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15)*15\/2*(-8)\/1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:04 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/10 + 7*f**2\/5 - 12*f\/5 + 1520. Determine g, given that v(g) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 28 = -3*i + 2*c, 12 = 5*i - 2*c. Let f be (1\/(-3))\/(i\/(-60)). What is the second derivative of 0*r**5 - 21*r**f + 3*r - 19*r wrt r?\nAnswer: -420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.73 and 20.26.\nAnswer: -136.3498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3 - y**2 + 3*y - 1\/4*y**4 + y**3. Let v be o(2). Solve -d + 16 = -4*k, -v*k - d - 20 + 1 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 11*g**4\/12 - 2*g**3\/3 + g**2 - 13*g - 3. Does 20 divide k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859143203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.4 + -26. Let k = -2.165 - -0.065. Let w = k - u. Round w to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**12*p)\/p*p**(1\/2))\/((p*p**(6\/23))\/(p*p*p*p\/(p**(-2\/59)\/p*p))) assuming p is positive.\nAnswer: p**(41451\/2714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4290 divided by 55.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 11\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223*c**3*t**2 - c**3 - 8*c**2*t**2 + 241*c*t + 78*t**2 - 198*t wrt t.\nAnswer: 446*c**3 - 16*c**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 27*g**4\/4 + 4*g**3 - 6*g**2 - 12*g + 42. Let t(n) = 11*n**3 + 5*n**2 - 5*n - 5. Give 5*k(c) - 12*t(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1. Let b(v) = 5*v**2 - 5. Let i(d) = -b(d) - 5*j(d). Let x(y) = 7 + 6 - 13 - 3*y**2. Give x(i(k)).\nAnswer: -75*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-14))\/((6486\/658)\/23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 7*y + 10. Let v be a(8). Is 10\/3 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -5*c, 3*y - c = 3*c + 5. Let i = -2094 - -14662\/7. What is the smallest value in y, i, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*x + 17, -2*x + 8*d - 12*d = -18. Let a(c) = -5*c - 30. Let j(b) = 17 - 48 + 14 + 16. Determine x*a(n) - 30*j(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(-8)\/((-400)\/(-45))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 878 divided by -439.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -296b14 + 4?\nAnswer: -296b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8721886*x. Let s(h) = -21*h**2. Determine o(s(i)).\nAnswer: -183159606*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2*(-3)\/9. Is 1 + (-4)\/p + 22 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-60) + 6\/(-9)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60916 and 1940?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -1\/4, -48, 1\/7, -2.96 in descending order.\nAnswer: 0.2, 1\/7, 0, -1\/4, -2.96, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-4)*y))**(-14\/5)\/((y*y**(-2\/13)*y*y)\/y**10) assuming y is positive.\nAnswer: y**(-263\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let x(b) = -19*b + 6. Determine -x(j) - 4*y(j).\nAnswer: 23*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008) + (sqrt(1008) - 4*sqrt(1008)*-1))**2.\nAnswer: 144*sqrt(7) + 36289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 12:02 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 112996.\nAnswer: -564980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5431 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 8*n**2 - 6*n - 5. Let o be x(5). Let f be 18\/4 + 4\/(-8). Suppose -f*k - o = -9*k. Calculate the lowest common multiple of 9 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10825979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m**2 + m. Let n be p(2). Suppose -10*u - d + 2428 = -5*u, 0 = n*u + d - 970. Suppose -39*v - u = -41*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9204 and -0.1?\nAnswer: 0.29204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccj when four letters picked without replacement from {c: 4, j: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1311 - -2911. Suppose -5*m - 1640 = -11*o + 10*o, -o - 5*m = -s. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2\/4 + 360*h + 17875\/4.\nAnswer: 5*(h + 13)*(h + 275)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 668503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 10*p - 8. Let r be u(9). Let m(d) = 28*d - 1. What is the units digit of m(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1584 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -915 - -9. Let p(k) = -134*k + 237. Let w be p(5). Let t = w - u. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a - 6. Suppose 6 = 3*q, a*m + 36 = -2*q + 5*q. Is m >= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -62. Let k = -3\/125 + 283\/1375. Sort k, z, 1\/4 in decreasing order.\nAnswer: 1\/4, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6618.926862 rounded to the nearest 100?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-625 + 625 + 81*c)*(-1 - 2 + 2) + (-3 + 4 + 0)*(-8*c + 12*c - 8*c) - 3*c + 2*c + 3*c in the form w*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/126942 and -43\/24?\nAnswer: 507768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwxxwxwrwrwxxrxwx. Give prob of sequence rxxw.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/72 - 4\/(-12). Let j(b) be the first derivative of w*b**2 - 4 + 0*b. Let h(o) = o**2. Determine h(j(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145503340 (base 6) to base 9.\nAnswer: -5702356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/15*-3804 - (-2)\/10. Suppose z = 12*z - b. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -237351*l**2 - 6205*l - 12 wrt l?\nAnswer: -474702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 4*k**3\/3 - k**2 - k + 2. Is 19 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -15. Let c be (-12)\/j*(-2)\/(-4). Find the third derivative of -17*b**2 + 38*b**c - 12*b**4 - 20*b**2 wrt b.\nAnswer: -288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.95 + -0.05. Let q(g) = -10*g + 284. Let y be q(28). Which is the third smallest value? (a) y (b) -1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t**2 - 23*t - 23. Let l be b(-1). Solve 2*f + 2 = 0, 2*h + l = -2*f + 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 - 38\/(-8). Let p(t) = 13 + 0*t - 5 + t. What is the tens digit of p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, -3, -4, 161\/3?\nAnswer: 161\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -95066, -104, 2 in ascending order.\nAnswer: -95066, -104, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**4\/24 - 2*j**3\/3 - 3*j**2. Let p be g(-3). Which is the biggest value? (a) -4 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56970917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o - 5. Let m be h(-5). Let f = 0.3 - 0.6. Let g = f - -0.7. Which is the second smallest value? (a) m (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11633 + 172.88367. What is the fifth smallest value in -0.4, d, -5, -5\/4, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -4 - -9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -847570 times -5\nAnswer: 4237850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4717571094 or 1?\nAnswer: 1\/4717571094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2006.6223 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67\/2 + 3153\/94. Sort m, 0.4, -0.2.\nAnswer: -0.2, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000064136865 to 7 decimal places.\nAnswer: -0.0000641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/c*c)**(-3\/5) assuming c is positive.\nAnswer: c**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 5*d**2 + 7*d + 10. Let q be t(-5). What is the units digit of 189 - (-5 - q)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-2)\/(18\/177). Let j = v - 31. Is (23\/(-2))\/(9\/j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.3, 0.1, -2\/73?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-90))\/(83\/(-249))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (-6*(sqrt(1900)*1 - sqrt(1900)))**2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 76)\/((-8)\/(-76)). Let w be k\/(-9) + 6\/(-27). Suppose -3*h - h = -4*x + w, 4*h + 40 = 2*x. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from nsssnsssss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:02 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -141 - 1891322115003\nAnswer: -1891322115144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64\/5 of a decade?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let t(c) = 57*c**2 - 1. Determine p(t(z)).\nAnswer: -57*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/(-51)*(-2 - (-359)\/(-2)). Calculate the highest common divisor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 13*u**2 + 35*u - 9. Let m be o(-9). Suppose 7*t - 65009 = -m*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2543 + 1?\nAnswer: -2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*j + 3772 = 0, 0 = -3*u + 7*u + 4*j - 3744. Suppose 4*v = x + 5*v - 960, 3*v = x - u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55579 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/13771759 and -67\/2110.\nAnswer: 137717590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19390680 to the power of 1\/2, to the nearest integer?\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -b + 5*k, 0*k + 4*k - 7 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -10570092\nAnswer: 5\/10570092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.25 and 55823.\nAnswer: -13955.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24602297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b + -2?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 0, 5*c - 2326 = 2*f - 12062. What are the prime factors of f?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 3 - 6*v**2 + 3*v**2)*(-v**3 - 2*v**3 + v**3).\nAnswer: -2*v**5 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n + 2. Let d be n + 1 - (-7 + 5). Suppose k - 33 = -3*i + 3*k, 2*k = 4*i - 44. What is the greatest common divisor of i and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -89136.235 from -0.4.\nAnswer: 89135.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - (12 - 5)) + -6 + 6 + -8.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2609 - 391. What is b rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-11)\/2)*11\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -3. Let t be -2 + (-3 - w) + 2. Let u = t - -1. Is u bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283151 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f. Let m(r) = -6*r**2. Give m(a(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f. Let t(g) = 11*g**2 + 4*g - 4. Let q(i) = -54*i**2 - 21*i + 21. Let s(h) = 4*q(h) + 21*t(h). Determine r(s(w)).\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - a + (2 - 10 - 20)*(-8*a - 5*a - 3*a).\nAnswer: 447*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2763.5749 and -5?\nAnswer: 13817.8745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 101 = 48*f - 45*f, 0 = -5*a + f + 107. Suppose 3*c - 8*c = -165. Calculate the greatest common factor of a and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmbhbmmhh. Give prob of sequence mmh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -568?\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - u - 4*u)*(22*u**4 - 30*u**4 + 21*u**4).\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000677 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*a + 12, -a - 2*t + 3 + 1 = 0. Let p be a\/1*(-11)\/(-1). Suppose -3*s - 1 + 0 = -2*w, -p = s - 5*w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 942751, 942750, 942749?\n\"Answer: -m + 942752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 696072615 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + -89. Suppose -2*z = 31 + 125. Let p = z - n. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12388 and 34677109?\nAnswer: 3097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, 5, -1 in increasing order.\nAnswer: -14, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22020 (base 3) to base 14.\nAnswer: 11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 + 29*g**3 - 15*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 12. Let l be q(-4). Suppose 22*g - 18*g = -808. Let f = g + 205. What is the highest common divisor of f and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jauomjn. What is prob of picking 1 n and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32985.53 litres?\nAnswer: 32985530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 + -137. Let j be 0 + 3 + -2 - -8. Suppose s*m - j*m + 6 = 0. Solve v - 3 = -m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g - 207. Let s(a) = -14*a + 569. Let p(z) = -4*s(z) - 11*v(z). Let y(j) = j - 4. Let k be y(0). Let n = k - -10. Calculate p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 1. Let b(q) = q + 9. Calculate the remainder when 171\/y + (-4)\/(-6) is divided by b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/9)*q)\/q*q\/q**(-7\/3))\/(q\/q**(-2\/7))**(-30) assuming q is positive.\nAnswer: q**(2654\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 67 = -4*n, 7 - 37 = -3*k + n. Let r(o) = k*o + o + 0 + 2 + 40*o. Let y be r(2). Round y to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 31*l**2 + 3*l + 3. Let i(t) = -t**2 - t - 1. Let g(v) = -64*v**2 - 8*v - 8. Let o(b) = -g(b) + 3*i(b). Give -5*h(u) + 3*o(u).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + n**2 + 0*n**2)*(0*n**2 + 5*n**2 + 0*n**2) - 55*n**4 + 5*n**2 + 12951 - 12951 to the form k*n**3 + l*n**4 + y*n + d*n**2 + a and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 5*k + 4. Let u be t(-5). Let s(f) = -7*f**2 + 1082*f - 8*f**2 + 17*f**2 - 1085*f. Is s(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9. Let c be 3\/(-2)*(w + 2). Sort c, -4, -5 in descending order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384, 789, 1242, 1767, 2388, 3129, 4014?\nAnswer: 5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/10 + (8952\/(-5))\/8. Let d = -201 - f. Calculate the smallest common multiple of 11 and d.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b**2 - b - 1. Let r(h) = -h**3 + 5*h**2 - 5*h - 5. What is -5*k(x) + r(x)?\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/13560 and -127\/180.\nAnswer: 40680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*g**3 - 11*g**3 - 16*g**3)*(2*g - 4 + 4) in the form t*g**2 + z*g + h*g**3 + n + a*g**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5898616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**5\/30 + v**2. Let k(q) = q**2 + 7*q - 6. Let n be k(-8). Let p(i) = 5*i**2 + i**2 - 4*i**n. Determine t(p(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*d - 3*d. Suppose -52 + 36 = 4*v - 5*f, -5*v = -f - 1. Let w(x) = -x + 16. Let y be w(0). Solve -v = d*j - y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*p - 317, -33*p + 36*p + 163 = 2*w. What is the greatest common factor of w and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 2*l - 5. Suppose 2*w + 20 = -3*w, -104 = 4*m + 4*w. Let g = -15 - m. Calculate the remainder when j(-4) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726560 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - (sqrt(49) + sqrt(147)\/sqrt(3))*5)\/(3*sqrt(175)))**2 - (1*sqrt(77)*2)\/sqrt(11)*3.\nAnswer: -6*sqrt(7) + 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/b**(-17))\/b))\/b**(1\/5))**7 assuming b is positive.\nAnswer: b**(-567\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19668905 or 2?\nAnswer: -19668905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203610801.4168222137484 - -40.3168159137484. Let l = x - -203610908.1. Let u = -147 + l. What is u rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 + 9*d**2 - 5*d + 6. Let h be b(4). Suppose -h*x = -206 + 34. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24820066 a multiple of 825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 460*j**2 - 33*j**2 + 21*j**3 + 3 + 123*j**3 - 3 wrt j?\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184984822 + -184983973.99607. Let w = -848 + x. Round w to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(20\/1 + 5644\/(-272))*2\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 25*d + 4. Let p be s(-5). Let k(y) be the first derivative of 3*y**2\/2 + 3*y + 26. Calculate k(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*f**2 - 2*f + 2*f.\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**2 - 15*d**2 - 18*d**2 + 307*d - 15*d**2 + 59*d**2 in the form h*d**2 + n + y*d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(19\/4)\/((g*g**(2\/13)\/g*g)\/g) assuming g is positive.\nAnswer: g**(239\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*h - 232610 = -204194 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*a**5 - 25*a**4 - 2*a**3 + 590207*a**2.\nAnswer: 1980*a**2 - 600*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, -95, -253, -445, -677, -955?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:57 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-21828))\/(10\/(-15)). Let y = i + -5449\/7276. Sort 0.4, y, 0.3, -0.13 in ascending order.\nAnswer: y, -0.13, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*z + k - 12, -4*k + 14 = -2*z. Suppose r + 0 - 7 = 0. Let d = 158 + -153. Solve p + 16 = -r*i + 4*i, 0 = -z*p - d*i - 28 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (2 - -29)*2\/22. Let j(i) = -54*i + 272. Let g be j(5). Factor -1\/11*d**g - 1\/11*d + z.\nAnswer: -(d - 1)*(d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 28504*s. Let z(y) = -26*y + 33. Give z(q(f)).\nAnswer: -741104*f + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 59*r + 54*r - 121*r. Put 25, -14, -4, r in decreasing order.\nAnswer: 25, r, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 2\/5, 14, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -4071, -5 in decreasing order.\nAnswer: 2, -1, -5, -4071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + z**2 + 2*z**2 + (-1 - 2 + 1)*(-2*z**2 + 3*z**2 + 0*z**2) - 4 + 4263*z - 4263*z - 2*z**2.\nAnswer: -6*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q - 33. Let b be u(-11). Suppose 13*x - 15*x = b. Suppose 4*s + 0*s = x. Which is smaller: s or -3\/58?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 + -74. Suppose m + 2*d = -d + j, -4*m + 284 = -4*d. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857313\/5 greater than 371463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -3312?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvdvvpn. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -801180 divided by 4?\nAnswer: -200295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Calculate the common denominator of ((-6)\/(-9))\/((-40)\/42) and (-2)\/d + (-498)\/(-220).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-2 + 12) - (-2 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 6*j**2 - j + 9. Let f(r) = 2*r**3 - 2*r**2 - r. Let n be f(2). Let q be b(n). Suppose -5*v = q - 18. Solve -v*h = -0*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4909366, -9818732, -14728098, -19637464, -24546830?\nAnswer: -29456196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -14. Let t = -1391 + 1390. Which is the nearest to 1\/4? (a) 1 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from jduduuujjujdu?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 5*f - 12. Let x be i(-7). Solve 0*b - 4*b + 4*j = 12, -3*j = x*b - 19 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 2*z**2 + 2. Let b be p(-2). Suppose 18 = -b*v + 5*v. Suppose 2*m = -m + v. What is the smallest common multiple of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + 78\/(-7)*7490\/17655.\nAnswer: -19\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6215 by -2.\nAnswer: 6215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20143882, -20143883, -20143884, -20143885, -20143886?\n\"Answer: -u - 20143881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2 + -4*sqrt(112)*3 + 3 + -5)*2*-3)**2.\nAnswer: 17280*sqrt(7) + 581508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*f**2*x**2 - f**2 + 1751*x**2 wrt f.\nAnswer: 52*f*x**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/140*59\/((-3894)\/616)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 108853, 217720, 326587, 435454, 544321?\n\"Answer: 108867*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, a: 2}. Give prob of picking 2 i and 1 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173437 by 1.\nAnswer: -173437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/3 (c) 3\/8 (d) -0.5 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26066*b - 26098*b + 12 - 15 to the form l + j*b and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 4. Let d = 4 - -1. Which is the second smallest value? (a) 3 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(143)\/((-2*sqrt(1584) + sqrt(1584) - sqrt(1584) - sqrt(1584)) + sqrt(1584)) - -5*((sqrt(637) - (sqrt(637)*-2)**2) + sqrt(637))*1.\nAnswer: -12740 + 419*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 93*i. Let c(g) = 71*g. What is c(x(t))?\nAnswer: 6603*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 12.3. Let t = a + 10. Which is greater: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 103*g**2 + 144 + 104*g**2 - 211*g**2 = 0.\nAnswer: -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*j + 1. Let i(m) = -m - 10. Let o be i(j). Let u be (152 + o)\/(3\/(-7800)). Round u to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352547.\nAnswer: 13, 47, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2. Let o(t) = 4*t + 15. Let d(g) = 5*g + 16. Let u(f) = 5*d(f) - 6*o(f). Let q(v) = 2*u(v) + 10*y(v). Let l(k) = -2*k. Calculate l(q(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 9027350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 33*w**2 + 264*w + 31. Give p(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:35 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 81. Solve -2*c + 12 = 4*a - r, -5*a = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(25) + (sqrt(175)*1 + sqrt(175) - sqrt(175))\/sqrt(7) + sqrt(25)))\/(sqrt(720)*1*-3).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49681069?\nAnswer: 49681069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 10:05 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0457 + 0.24474. Let c = u - 0.2. Round c to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**8\/896 + 3*c**6\/320 - c**5\/80 - 437*c**2. Factor v(a).\nAnswer: -3*a**2*(a - 1)**2*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07224548 - -0.0722. What is i rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -681 and -32.\nAnswer: 21792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4272 and 121\/6.\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.678 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 23*l + 23*l + 2*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - (-16)\/12)*45 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -561 - -563. Solve 0 = 7*p - v*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*r - 18 = 0, -h - 10 - 9 = -5*r. Let y be -1 + -1 + (-26)\/(-12). Suppose -12 + 16 = -4*m. Which is the closest to h? (a) y (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 8*u - 10. Let o be n(5). Let y = -15 - -19. Solve -o*z - y = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 80 = -3*x. Let v = x - -32. Let q be -2*(-2)\/4 - -12. Calculate the highest common factor of q and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123853611 - -10.8.\nAnswer: -123853600.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278872061.\nAnswer: 13, 53, 127, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 7. Let i(s) = -s**3 + 5*s**2 + 19*s - 87. Let c be i(4). Give j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 1 - 4*m**2 + 5 - 4*m. Let f = -42 + 38. Let x be l(f). Solve 3*n = x*r + 20, 2*n + 3*n - 2*r = 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/12 and 8\/601.\nAnswer: 7212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118162494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270092?\nAnswer: 2, 67523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -8*w + 25. Let a = 205 - 204.6. What is the nearest to -0.2 in -0.2, w, -0.4, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2406496 divided by 601624\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.6. Let u = 605\/2 + -5449\/18. What is the second biggest value in u, z, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:51 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -17*q**6\/180 + 41*q**3\/6 - 2*q - 21. Let z(t) be the second derivative of x(t). Let m(l) = -2*l**2. What is z(m(c))?\nAnswer: -136*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 8*o + 12. Let m be l(-6). Suppose 2*y + 5*q + 12 + 1 = 0, m = q + 5. Suppose -i - y = -4. Let v(u) = 2*u**2 + 4*u + 3. Give v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdxlxxvxxvv. What is prob of picking 1 q and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/12 (b) 1\/48 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000386377 rounded to six decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82775 divided by -5.\nAnswer: -16555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/40 + m**4\/12 + m**3\/12 + 2*m. Factor j(q).\nAnswer: q*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1058, 4245, 9556, 16991, 26550, 38233?\n\"Answer: 1062*z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -877*w**2 - 835*w**2 + 1744*w**2. Let i(z) = 4*z. What is b(i(t))?\nAnswer: 512*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 3118*b**2 - 3118*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.647592g?\nAnswer: 6647592000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7165.\nAnswer: 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2924 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-19\/2)\/f)\/(f*f*(f*f**(-9))\/f*f*f))**(3\/4) assuming f is positive.\nAnswer: f**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 11*n + 44. Determine z(-17).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2856*o**2 + 9*o - 4004. Let m(c) = 2856*c**2 + 6*c - 4005. Let r(n) = 2*g(n) - 3*m(n). What is the first derivative of r(j) wrt j?\nAnswer: -5712*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v - 40*v = -4564. What are the prime factors of v?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/120 + 3*f**5\/20 + f**4\/3 + 5*f**3\/6 - 3*f**2. Let w be i(-8). Sort 0, w, 3.\nAnswer: 0, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30082606 is divided by 2053?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (-12 + -6)) + (-33 - -29 - (-4 + 0))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(20)\/sqrt(4))**2 - (sqrt(5) + (sqrt(5) - (sqrt(180)*-2)**2)).\nAnswer: -2*sqrt(5) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -154125251 (base 6) to base 3\nAnswer: -20011111211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*q*u**2 + 3206183*i**2*q*u + 79021*i*q*u**2 - 2*i*q - 2*i*u**2 - 6*q*u**2 + 2*q*u wrt i?\nAnswer: 12*i*q*u**2 + 6412366*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = s - 12, 2*s - 2*k = 5 + 1. Let x be s\/7*(-2)\/4 + 3. Suppose -30 = -3*g + 3*l, -x*g - g + 12 = 3*l. What is the least common multiple of 16 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 373\/134 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2883\/19 less than -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 7:23 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22741499515*r**2 + 3*r**3 - 22741499515*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2607129341?\nAnswer: 2607129341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443069.\nAnswer: 3, 19, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/(-1640))\/((-153)\/68*(128\/(-30))\/8)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/74 and 1 + 17*-1 - (-30)\/(-45).\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u**(-2\/7)*u)\/u))\/(u*(u**(-2\/7)*u)\/u))**(20\/9)*(u**(2\/5))**(3\/19)*u*u*u\/(u*u**6\/u)*u**(-2\/15)\/u assuming u is positive.\nAnswer: u**(-668\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 + 6*m**2 + 2*m - 7. Let s(l) = -13*l**3 + 24*l**2 + 8*l - 29. Let b(t) = 2*s(t) - 9*w(t). What is b(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times -6.54?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19363 - 13614. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*v - 100*v + 3*t = -69, 0 = 2*v + 7*t + 146 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11613947 - 43?\nAnswer: 11613904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 482, -0.072, 6, 0.5, 4, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((((v**(35\/4)\/v*v)\/v)\/v)\/v*v))\/v)\/v*v)\/v**20 assuming v is positive.\nAnswer: v**(-107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24614 (base 7) to base 4\nAnswer: 1211033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000091620529 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*z + 29*z + 838. Let t = 421 + z. What is the least common multiple of t and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/12 and 2*((-622)\/(-208) + -3)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -178350 - 7?\nAnswer: -178357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9754.987 milliseconds in microseconds?\nAnswer: 9754987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*h**2 - h + 2*h + 84*h**2)*(0*h**2 - 5*h**2 + 3*h**2).\nAnswer: 16*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.013111 and -101.39?\nAnswer: 101.403111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b - 73*b - 36 = 0. Let j(i) = -i**3 - 2*i**2 + 3*i + 5. What is the remainder when j(-4) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u. Let y(o) = o + 36267. What is k(y(t))?\nAnswer: -5*t - 181335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/511 + -58789\/3066. Let m = 80\/3 + c. Let 21\/2*v + m*v**3 + 27\/2*v**2 + 3 + 3\/2*v**4 = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.6 + -1.5. Let o = 0.1 - m. Let l = 0.4 - 0.3. Which is the nearest to -1\/2? (a) o (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 12 - (10 + -6 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 420849 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c3348 - 5?\nAnswer: c3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 4, 0, -16, -50?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 731*c**3 + 5*c**2 + 10*c + 10. Let l(y) = -3656*y**3 - 24*y**2 - 48*y - 48. Give -5*l(b) - 24*x(b).\nAnswer: 736*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(5 - (0 - -4)). Suppose 7*c = -f + 2*c + 12, 0 = -3*f + 3*c + 18. Let w(d) = -f*d + d + t*d. Let n(x) = 17*x. Determine w(n(o)).\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.06021536?\nAnswer: 0.03010768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11961, -23922, -35881, -47838, -59793, -71746?\nAnswer: -83697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159\/2 - 79. Let b(w) be the second derivative of 0 - 4*w + 0*w**5 + 0*w**3 - 1\/15*w**6 + 0*w**4 - z*w**2. Differentiate b(t) wrt t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -1770, -5599, -12938, -24957, -42826?\nAnswer: -67715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032710?\nAnswer: 2, 5, 7, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - u - 2*u - 3 = 0, 4*u = -3*a - 4. Suppose a = x + x - 4. What is the smallest common multiple of x and (0 + (-2 - 8))\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*r - 783*r = -1296 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5\/(15\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/193 + 9203\/8492. What is the common denominator of a and 3\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927828 to the power of 1\/2, to the nearest integer?\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -16*o - 90 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15821 + -46969\/3. Let p = f - 164. Sort 9, p, -5 in ascending order.\nAnswer: -5, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92921147.\nAnswer: 11, 8447377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-1 - -4) - -9. Let b(l) be the first derivative of 9\/20*l**5 - 3\/4*l**3 + 2 + 3\/16*l**w + 0*l - 3\/8*l**2. Solve b(m) = 0 for m.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = -f. Calculate the remainder when 1\/(-3) + 74\/6 is divided by f - (-3 + -3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 478463?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*k*t**3*x*y - k*t**3 + 4*k*t*y**3 - 242*t**3*x*y**3 - t**3*x - t*y**2 wrt k.\nAnswer: -58*t**3*x*y - t**3 + 4*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*p - 4*p. Let -60*q - 18*q**4 + 3*q**2 + 87*q**3 - 7*q**2 - p*q**5 - 5*q**5 + 24 - 2*q**2 = 0. Calculate q.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 18*s - 6. Suppose -s = -9*r + 6*r, -d + 1 = -r. Solve d = y - c, -3*y + 0*c - c = 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(9\/10) + (-10)\/15. Let r be -1*((-2)\/(-1 + -1) - s). Put -1, r, -7 in descending order.\nAnswer: -1, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {o: 13, m: 5}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 11. Let n be m(8). Suppose n*g = g + 8. Is 18*(g + 5\/(-3)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1968133 centuries?\nAnswer: 236.17596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -517 divided by 5\nAnswer: -517\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0301772156 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -338 + 338.3. Which is the third biggest value? (a) 4 (b) 21 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 435*c**6 + 23*c**5 - 63*c**3 - 8892714*c**2?\nAnswer: 52200*c**3 + 1380*c**2 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1462 (base 11) in base 9?\nAnswer: -2522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**(5\/8)))\/n**33)\/((n*n**13)\/n**(-15)) assuming n is positive.\nAnswer: n**(-499\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 686?\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, and 1 h when three letters picked without replacement from {g: 1, u: 5, a: 6, p: 2, h: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(432) + 4)**2.\nAnswer: -96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/471988 and -163\/458106.\nAnswer: 15575604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 4:41 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q = -21121. Let c = q - 14121. Round c to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-1 + -2) + -2. Let z be -1 + (-11)\/d + -2. Is z at least as big as -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (128\/(-16))\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -282, -2300, -7776, -18438, -36014, -62232, -98820?\n\"Answer: -288*h**3 - h**2 + h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 3:23 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**22)\/o**7 assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17968430679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 4*y**2 + y - 3. What is k(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 8:39 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 4350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 10*y - 11. Calculate r(-15).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 7 = -29*n. Let a(i) = -i**2 + i + 1. Let p(o) = -5*o**2 + 2*o. Calculate n*p(s) + 3*a(s).\nAnswer: 2*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 327, 712, 1099, 1488?\n\"Answer: n**2 + 382*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 4219171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252399 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 64 = -25*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21123 (base 14) in base 10?\nAnswer: 79803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 2*z - 2*z**2)*(970 - 2914 + 968 + 199072*z + 976) in the form d*z**2 + a*z + p*z**3 + x and give p.\nAnswer: -398144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1896 and 1501?\nAnswer: 36024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2791671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 28 = -s, -6*s + 2*k = -s - 80. Calculate the remainder when 123\/s - (-2)\/12 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.665 rounded to 0 decimal places?\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 51792949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 1, y: 1, o: 3}. Give prob of sequence oyo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*r = -2, -4*h + 5*r = -1 + 7. Solve 0*o - 4*w = -o - h, 5*o = w - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 4*v - 2*v)*(3*v + 6*v**2 - 3*v**2 - v**2) in the form g*v**2 + x*v**3 + m + c*v and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1303915836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - 3*o**3 + 3*o**3 + (-8*o + o + 3*o)*(-2*o**3 + o**3 - o**3) - 13714*o**4 - 459*o + 13715*o**4 + 185*o.\nAnswer: 8*o**4 - 274*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1014 + 31438\/31. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258632238?\nAnswer: 2, 3, 197, 218809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28142 = -3*t - 5*p, -5*t + 2*t = -p + 28136. Let a = -3983 - t. Suppose a = 13*r + 430. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - (-9 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 4}. What is prob of picking 1 g and 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -30. Let k(z) = l + 11 - z + 3 + 2*z. What is the lowest common multiple of k(-10) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/((-625)\/500)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1973808*f = -1973997*f - 1134 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 + 10*g**2 + 24*g - 134. What is r(4)?\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - -12) + (-21 - -23) - -62?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1696 by 424.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 10:30 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-4)*c)**(23\/2)*c**(-1\/9)\/(c\/((c*c**9*c)\/c)*c))**(-40) assuming c is positive.\nAnswer: c**(5440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 627, 1101, 1575, 2049?\n\"Answer: 474*t + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1772383179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 356?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/(-3)*(-5)\/90.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86611619.\nAnswer: 86611619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001451 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-9))\/((-40)\/(-300)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3382)\/2492)\/((-76)\/4)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3)*-1)\/(1\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 54 = 4*h, 42*v = 38*v + 4*h + 2*h + 94 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -903. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5327?\nAnswer: 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -56. Suppose 384 = c*o + 64. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10100203 - -2311330?\nAnswer: 13012133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1331) - sqrt(1331)) + 1.\nAnswer: -66*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183895990 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 4\/3, 328, -3\/13, 2, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*(-22 - (-1025)\/50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p + 3*k - 75, 0 = -2*p - 3*k - 50. Let x = p - -76. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 151*a + 19417. What is j(83)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 10*r + 31. Let a = 16698 + -16711. Calculate o(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -1418, -4036, -8680, -15914, -26302, -40408?\nAnswer: -58796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 11 + 49 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 3*k + 3*k**2 + k. Let m(r) be the third derivative of -r**7\/2520 - r**5\/60 - r**2. Let q(s) be the third derivative of m(s). What is q(i(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -600, -511, -372, -183, 56, 345?\n\"Answer: 25*p**2 + 14*p - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*30\/4. Suppose -7 = -2*r + y. Let q be 3\/((-5)\/(15\/r)). What is the third biggest value in q, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*h + 14, 2*h + 3*h = 3*l - 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6189*1\/27 + (-4)\/18. Let x = 242 - v. Solve 4 = 11*j - x*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 16*v - 20*v = -775, -275 = -i + 2*v. Calculate the remainder when i is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 4044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1280121 rounded to three dps?\nAnswer: 6.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1182160 divided by 40\nAnswer: 29554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200568, -200569, -200570, -200571?\nAnswer: -200572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4728206ml to litres.\nAnswer: 0.0004728206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*q + 130 = 126*q + 34 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -3 - 7*s + 21\/2*s**3 + 69\/2*s**2. What is the first derivative of k(p) wrt p?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9040 and 6215?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 + -2.5. Let v = -11 - -15. Sort v, -1\/8, d.\nAnswer: -1\/8, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885881 is divided by 1395.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00076 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 15*b - 1257*b**2 + 10*b - 25 - 1304*b**2 + 2616*b**2. Let n(o) = 9*o**2 + 4*o - 4. Give 25*n(m) - 4*p(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010011100100001 + -11111?\nAnswer: -1101010011101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i + 24. Solve 4*l + 4*q - 22 = -i, -4 = -q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**3 + 4*y**2 + 4*y. Let w be (14\/4)\/((-13)\/26). Let g(z) = 7*z + 6*z**2 + 5*z**2 - 4*z**2 - 9*z**3. What is w*q(i) + 4*g(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113.2 + 1.2. Let i = 111.814 + z. Round i to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28382 + 12317871\/434. What is the common denominator of 23\/98 and y?\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57759\/20 - 2887. Let k = -262\/27 - -45742\/351. Let j = 30359\/260 - k. What is the common denominator of i and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1300 (base 7) to base 10\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -884, -893, -904, -917, -932, -949, -968?\n\"Answer: -y**2 - 6*y - 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u - 277 = -5*w, -2*w - 368 = 3*u. Does 6 divide u*(4 - (-204)\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 - 21*i - 18. Let q be v(-6). Let y = 14103\/65 + -217. What is the nearest to 1 in q, y, -2, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -117*j - 1641. Determine q(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -4*d + 2*l, 3*d - 3*l = -0*d + 135. Suppose 2*w = -3*w + d. Suppose -w = 160*o - 164*o. Solve o*p - 3*k + 3 = 0, -5*k = -0 + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2663.63 millennia?\nAnswer: 26636.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2448\/119)\/(-12))\/(-3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/32*(-8532)\/(-4977)*-2*1\/48?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -9 (c) -4 (d) 2.093 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6108 minus -2617368?\nAnswer: 2623476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c. Let s(u) = 1. Determine -m(p) + 2*s(p).\nAnswer: 9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17949694?\nAnswer: 2, 7, 1282121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b = 2*a - 37*b - 96, 24 = -2*a - b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 2*r - r + (9090*r - 36640*r - 8505*r)*(-2 + 2 - 2) as f + v*r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 26 = p. Let x be ((-84)\/(-77) + 4 - 5)\/((-16)\/(-88)). Suppose x*c**2 - 1\/2*c**p + 0 + 0*c = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2526*x + 15. Let n(i) = 504*i + 3. Determine -4*j(h) + 19*n(h).\nAnswer: -528*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**2 + 350*x - 1380. Determine b(34).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51825, 51827, 51831, 51837, 51845, 51855, 51867?\nAnswer: 51881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 347\/(-2) - (0 - 6\/12). Let z = 664 + x. List the prime factors of z.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:57 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -306 - -308. Solve -c*g + 12 = g - 5*s, 5*s = g - 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*w**3 - l*w**2 - 65*l*w + 325*l - 16*w**3 - 29632 wrt l.\nAnswer: 2*w**3 - w**2 - 65*w + 325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o**2 + 11*o. Let l(r) = -3*r**2 - 2*r**2 - 2*r**2 + 5*r + 0*r. Let h(m) = -4*m + 41. Let w be h(7). Calculate w*l(f) - 6*v(f).\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15449517.\nAnswer: 3, 1716613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i + 25. Determine a(-15).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 11. Suppose -4*t + 38 = 3*d, -41*d - 3*t = -39*d - 24. What is the least common multiple of w and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -537056.453 to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b - 4*d - 18 = 39*b, 17*b - 66 = 5*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, -2, 51?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 11*y**2 + 24*y + 55. Let q be m(-9). Let f(i) = -7*i**3 - i**2 + 3*i + 1. Let w(s) = -s**3 - s**2 + s. Give q*f(g) - 3*w(g).\nAnswer: -4*g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*((-27)\/(-4) - 0). Let o be (-1)\/5*45\/d. Suppose 0 = -4*k - 6 + 2. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1414, 1758, 2102, 2446, 2790, 3134?\n\"Answer: 344*j + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(104) + sqrt(104)*-2) + sqrt(104))\/sqrt(8) - (-3*sqrt(91)*2)\/sqrt(7).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191520256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 31*d - 198. What is v(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(5) + -2*sqrt(5))*5 + sqrt(5))*3 + -2)*-5)**2.\nAnswer: 1200*sqrt(5) + 18100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:35 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9*h - 145 = 0. Let o = 44 + h. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -51.967. Round p to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 5 + 0 - (-1 + 4)) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98\/3*s**2 - 386\/3*s + 128 - 1\/6*s**3.\nAnswer: -(s - 192)*(s - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = -2*b + 550, 1491*b - 95 = -2*f + 1494*b for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 28*z - 32. Let g(a) = -14*a + 15. Let n(w) = -7*g(w) - 3*y(w). Let o = 0 + 7. Is n(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (-2 + -1 - 2 - (14 - (-67 - -84)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 5109460*s - 1305329074580.\nAnswer: -5*(s - 510946)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m**3 + 3*m**2 - 3. Let l(d) = -55*d**3 - 20*d**2 + 20. Suppose 0 = -608*k + 616*k + 160. Give k*h(f) - 3*l(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1648575840 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*u - 4*y + 26, -2*u + 55 = -y. Calculate the remainder when u is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let l(y) = -26*y**2 - 6*y - 6. Let r(k) = -k - 1. Let m(o) = -5*l(o) + 30*r(o). Determine h(m(a)).\nAnswer: -33800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:43 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61.9 + -123.1. Sort -1, 1, x in increasing order.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 8:46 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/10011 and -41\/21?\nAnswer: 70077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 7. Let r = 0 - -5. Let m(x) = r + 5*x - p*x**2 - 5*x. Let g(q) = 8*q**2 - 6. Calculate -5*g(t) - 6*m(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k + 4*k)*(-446 - 415 - 7*k + 5*k**2 + 832).\nAnswer: 20*k**3 - 28*k**2 - 116*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -v**4 + 168*v**3 + 3268 wrt v.\nAnswer: -4*v**3 + 504*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Let d = 0 - -4. Solve -u = -w - j*u - 3, -2*u - d = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7523 - 2779. What are the prime factors of k?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y**(-3)*(y*y*y*y**(-1\/6)*y)\/y*y\/y**1*y)\/(((y\/y**8)\/y)\/(y**1\/y))**(-1\/13) assuming y is positive.\nAnswer: y**(485\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9161, -18474, -27983, -37688, -47589, -57686, -67979?\nAnswer: -78468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1610 take away 2.895746?\nAnswer: -1612.895746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/((-16443)\/(-58))*(-9)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i - 70. Let l be g(23). What is the first derivative of -103 + 61*m - 98 + l wrt m?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, z: 3, v: 1, m: 6}. Give prob of picking 3 m.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5294)\/79410)\/(1 - 41\/42).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 5 = -13*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 7, r: 8, d: 2}. Give prob of sequence brrd.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 457*k - 15369. What is o(32)?\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 71223015 divided by 5\nAnswer: 14244603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026020 (base 8) in base 7?\nAnswer: 2216104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*2 + ((-12)\/(-4) - 1). Let o be (8 + y)*(0 - 1\/8). Factor 3\/2*c + 1\/2*c**3 - o - 3\/2*c**2.\nAnswer: (c - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Suppose 0 = b - 6*b + 240. Let v(s) = 18*s + 100 - b - 52. Calculate j(v(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 divided by -9?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - -16) + -15 + -156.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s + 16*s - 35*s - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - a + 0*a**3 + a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12355 + -12355.07. Let n = 1 - -3. What is the closest to 1 in b, 2\/9, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-102)\/9 - 9\/27. Let k be (45\/(-12))\/5*8\/r. Sort 2, k, 0.1, -0.003 in descending order.\nAnswer: 2, 0.1, -0.003, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 10 - 2)*(-s - 3*s + 5*s)*(-2 + 4 + 3).\nAnswer: -150*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/(-18) + -11 - (-4)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 21*v + 8. Let i be a(-21). Suppose r - 5*c + i = 1, 4*c + 76 = -4*r. What is the second biggest value in -0.4, r, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 - -18931362.\nAnswer: 18931362.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d - 107*d = 290. Solve 0 = -t + o - 2 + d, o = 3*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -180*d**3 - d**2 + 302*d + 1302287 wrt d.\nAnswer: -540*d**2 - 2*d + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - -177. Let l = -136 + p. Suppose l = 4*w + 3*k, 4*w + 2*k - 72 = -w. What is the biggest value in -4, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.79460943 to 4 decimal places.\nAnswer: 4.7946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8\/325 + -13789\/18850. What is the common denominator of a and -95\/16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**3 + 6*a**2 - 4. Let i(b) = -9*b**3 - 11*b**2 + 7. Suppose -4*f = -h + 20, -4 = f - 0. What is h*i(g) + 7*t(g)?\nAnswer: -g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-6)\/1)\/3. Suppose f*k + 9 = 3*k. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 178*l**2 + 1378*l - 2725. What is i(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -88. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 18*q**2 - 5*q - 6. Let h be s(24). Let o = h - 2135. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -61, -1\/2?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 317 in -830, 2\/7, -4, -36, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**3\/6 + 2*x**2 - 7*x. Determine u(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1960119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28822559, -57645117, -86467675, -115290233, -144112791, -172935349?\n\"Answer: -28822558*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168409 times 1?\nAnswer: 168409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**2\/2 - 8. Calculate the smallest common multiple of y(-8) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 27. Suppose 0 = 8*z - 9*z - j + 58, 5*z - 5*j = 290. What is the remainder when z is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.08 (b) 114 (c) 0.1 (d) -1\/9 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 188488 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -3*g**8\/5600 + g**7\/700 - g**6\/900 + g**4\/4 + 3*g. Let m(v) be the third derivative of c(v). Factor m(q).\nAnswer: -2*q*(3*q - 2)*(3*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -9. Let q = -5 - g. List the prime factors of 70*(q - (-15)\/(-6)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6.2. What is the closest to 0 in v, 1, 10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3653 or 3652?\nAnswer: 3652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 10:22 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2. Let y(m) be the third derivative of -3*m**5\/10 + 3*m**2 + m. Determine y(l(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3 - 12 + 5 + 3*i**3 with respect to i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20086407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*c + 2*x + 177, -3*x + 6 = 0. Let f = 33 + c. Let t = 4 + f. Which is bigger: t or -0.31?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 181 and 81979.\nAnswer: 14838199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 564 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 7. Let s = 171\/4 - 43. Let c = -137 - -136.9. What is the nearest to c in 0.2, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325 - 18*w**2 - 524 + 4*w**2.\nAnswer: -14*w**2 - 849","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -836, -836, -834, -830, -824, -816, -806?\n\"Answer: o**2 - 3*o - 834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 120 = 3*c, q - 5*c + 12872 = 12850 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*2)\/sqrt(5))\/sqrt(8))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 35.6. Which is the second biggest value? (a) 1\/5 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 30, 23, 12, -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/55 + 106\/(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1260 and 24.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -24*x - 8. Let t be v(-2). Let p be t\/14 - (-9)\/63. Factor -5*k**4 - 10*k - k**p + 5*k**3 - 5 + 10*k**4 + 6*k**3.\nAnswer: 5*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/((-11)\/231*33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77 + 3*s**2 - 162*s**4 - 288 + 75 + 116 + 93 - s**3 wrt s?\nAnswer: -3888*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together -4898.2 and 156.\nAnswer: -4742.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86*0.5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 984708937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 (base 10) in base 14?\nAnswer: 1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*f**2*h**3*m - 8*f**2*h**3 + 29*f**2*h**2*m - 2*f**2*h - 7*f**2 wrt h.\nAnswer: -624*f**2*m - 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247194*c**2*p**4*y + 76*c**2*p*y + 1196*c*p*y + 3*p**3*y - 8*p**2*y wrt p?\nAnswer: -5932656*c**2*p*y + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 29, 0, -1 in ascending order.\nAnswer: -5, -1, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.5 - -9.7. Let n = 2 + -1.7. What is the nearest to 0.1 in i, -2, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-36))\/(12\/32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8084 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggguggugggg. What is prob of picking 4 g?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -115, -172, -229, -286, -343?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9231 = -12*n. Suppose -4*w - 2737 = -19*s + 14*s, 0 = s - 3*w - n. List the prime factors of s.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 460\/29413 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4114*j**5 + 6*j**4 + 3*j + 77. Let f(b) = -4114*b**5 - 7*b**4 - 4*b - 76. Let u(o) = -6*f(o) - 7*y(o). Find the second derivative of u(i) wrt i.\nAnswer: -82280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -449.8 + 450. Let s be (0\/7)\/((-2)\/1). Which is the nearest to 2\/5? (a) y (b) s (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -2. Let q be (0 - -2)\/(19 + v) - 0. Let u(c) = 6*c. Give u(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51488 divided by -15.\nAnswer: 51488\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*u + 142*u = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -0.4, -0.2, 23.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*s = 46*s - 240. Let d = 0.4 - 0.1. Put d, -0.5, 2\/7, s in increasing order.\nAnswer: s, -0.5, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) + -1 + sqrt(272))*-4)**2 + sqrt(272) + sqrt(272))*5.\nAnswer: -1240*sqrt(17) + 87120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 145 = 495. Let y = 30 - k. Let c be -1*((-24)\/y)\/(-3). What is the nearest to c in 0, -3, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.144 + -0.172. Round r to two decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1653980 and 19\/10?\nAnswer: 1653980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 4873*c**3 + 5 + 4888*c**3)*(-2*c + 2*c - c**2).\nAnswer: -15*c**5 + 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 - ((-6)\/45 - 22\/(-165)). What is the greatest common divisor of 742 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 50919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:59 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 + 748\/5. Let l = 24530 - 24533. Let f = 2.9 + -3. Which is the closest to f? (a) q (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*i - 2*i + 1, 5*w + i = 17. Solve -w*s = -0*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1254*a + 890 + 580 + 1257*a to q*a + p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0.04948535?\nAnswer: -3.04948535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120860 not equal to 120860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, -8\/155, 0.5, 2, -86?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*h**5 - 4*h**4 - 413*h**2 wrt h.\nAnswer: -1860*h**2 - 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 8*k**2 - k - 7. Let i(w) = -w**2 + w - 2. Let f be i(3). Calculate v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 362*q**2 + 360*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2762855481 to the nearest integer?\nAnswer: 52563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7276219cm?\nAnswer: 7276.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 + (-3670)\/700*(5 + -6) and 97\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000212401 rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(7) + 2) + sqrt(7))*-4 - (sqrt(56) + (sqrt(6776) - (sqrt(6776) - sqrt(6776)*2)))\/sqrt(8).\nAnswer: -31*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4 + 17.4. Let v = 13.9885 - d. What is v rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*r + 360. Let w = r - -134. Suppose -j - w = -3*f + 2, 0 = j - 5. Solve p - 5*i = f, 18 = p - 3*i + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 5*a**2 + 3*a - 16. Let p be q(7). Find the third derivative of -5*u**3 + p - 103 - 2*u**2 wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11383, 7\/6, -2\/9?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 329 (base 11) to base 14\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 423433531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/15686 and 35\/4092?\nAnswer: 94116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 80 = 9*a. Suppose 5*b + a = b. Let z be (-5)\/2*b\/(-225). Are 5 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 18*h - 2. Let o be c(5). Let v = -36 + o. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*q - 5*q + 11, k + 2*q + 6 = 0. Let x(b) = -k*b + 2*b + b. Let c(y) = 4*y. Determine x(c(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (78 - 16 + 56)*(-20*b + 48*b - 26*b - 1) to the form s + q*b and give s.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.9. Let v = j - 0. Which is the nearest to 2\/7? (a) 0.4 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 1. Let a be 1\/3 - 20\/(-30) - -2. Let p(l) = -12*l - 10. Determine a*p(f) - 30*i(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwqwhhahh. Give prob of picking 2 w and 1 a.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 12:52 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160516724 by 3489494.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {t: 3, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 + 0.6. Let w = -0.17 - -0.2. Let l = -0.03 + w. What is the smallest value in -0.2, l, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(14) - 1*sqrt(14)) - sqrt(14))\/(sqrt(42)\/sqrt(24)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18380, -36744, -55102, -73454?\n\"Answer: 3*s**2 - 18373*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099534845 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 274783 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619900478 a multiple of 6993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 250598 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89238 and 1112?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 37685 divided by -6\nAnswer: -37685\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/9)\/(1 + 1591\/(-129)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r - 294 = -2*r + 692. Solve r = 14*m - 41 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -136, -205, -274, -343?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 28. Let b be (-3 + 2 + -3)\/(-2). Let w(q) = 5*q**3 + 9*q - 9. Let j(k) = k**3 + 2*k - 2. Calculate b*w(o) + p*j(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -4*o + 169. Solve o*m - 10 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 29. Let m be (-1)\/(-1 - (-9)\/d). Suppose -34*u - 60 = -40*u. Solve 2*k + 3*j + u = 0, 0 = -k - m*j - j - 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 5)*(-2)\/3. Let r = -0.085 + 0. Let b = r + 2.085. What is the nearest to 2\/7 in d, b, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1031 and -349345266.\nAnswer: -349346297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37075\/(-62286)*((-62)\/465)\/((-2)\/(-7)).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829*h**3 + 9*h**2 - 1577*h**3 - 9*h**2 + 758*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 984247111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*k + 1 - 10\/3*k**2.\nAnswer: -(k - 1)*(10*k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 555 = 3*p - 587, 4*v - 36 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 5*d**2 + 3. Let q be (-67)\/(-13) - (-14)\/(-91). Let u be i(q). Suppose u*k - 1 + 7 = 0. Is k < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -27*m - 214. Let g be d(-10). Let s = g - 52. Which is the third biggest value? (a) -0.1 (b) s (c) 0.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1285933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 + 2*b**3\/3 - 16*b**2\/3.\nAnswer: b**2*(b - 4)*(b + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 0.5, -104, -2, -0.27?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14268 or 14246?\nAnswer: 14268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6\/(t\/(((((t*t**(-3)*t)\/t)\/t*t)\/t)\/t))*(((t*t**1\/t*t)\/t)\/t)**(-17) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y - 16*y + 29*y**3 - 55*y**3 + 27*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403, -1070, -1739, -2410, -3083, -3758?\nAnswer: -4435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 11*f**2 - 11*f + 12. Let u be z(10). Suppose u*x = -0*x + 10. What is the second derivative of -x - 1 + 6 + 8*w**2 + 3*w wrt w?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by ((-124)\/20 - -5)*20\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + 0*j + (j + 2*j - 4*j)*(3 + 0 - 2) - 12*j + 3*j - 11*j)*(2 + 2 - 5)*(1 - 1 + j)*(2 - 2 - j**2) - 3*j**2 + j**4 + 3*j**2.\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 5*p + 3. Let j be u(-4). Let i = j - -30. Suppose -i*t = r - 5, -2*r + 13 = -2*t - 9. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614588465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 8277809. Let k(q) = 11*q. Calculate k(c(g)).\nAnswer: -22*g - 91055899","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 4112620?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 1. Let d be s(1). Suppose -d*g + 3*o + 3 = -0*o, -5*g = 2*o - 40. Solve -g*r = -5*r + 2, r - 13 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 2 + 2 + 2*g**2 + 0. Let h = -1 + 3. Let j be m(h). What is the highest common divisor of 6 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2733 * 41836\nAnswer: 114337788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 41*k + 2*k**2 - 2*k**2 + 8*k**2 - 6*k**2. Let d(b) = -2*b**2. Calculate v(d(r)).\nAnswer: 8*r**4 - 82*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 9 = 7, 51*q + 0*b - 3*b = 56*q + 67 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 + 1)) + (-11 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1769 by 45.\nAnswer: -1769\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11446468*i + 3324091 wrt i.\nAnswer: 11446468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6550, -6829, -7108, -7387, -7666?\n\"Answer: -279*k - 6271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 191885\/16 - 11999. Let l = 938\/5 + -1441\/10. Calculate the common denominator of l and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-1926)\/2) + -2. Suppose 0 = 5*s + 145 - a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4360910672 to 4 dps.\nAnswer: -0.4361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16201961 - -6578.749\nAnswer: -16195382.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.194 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15463 from -135.\nAnswer: 15328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*b - 0 + 4, -54*b + 50*b = 11*n + 47 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 39\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43468 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1 + 2 + o - 4. Let h(x) = x + 19. Let t be 63\/(-4) - (-7)\/(-28). Let v be h(t). Determine f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*1\/2. Let d(k) = -k + 8. Let i(m) = -m**3 + m + 1. Let s be i(-2). Let t be d(s). Is t smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hththhtgtth. What is prob of sequence ttth?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29*22\/2871 + (-68)\/(-18). Let y(b) be the first derivative of -2 + 0*b - 20\/3*b**3 + b**n + 0*b**2. Suppose y(x) = 0. What is x?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 17*s**2 + 4*s + 201. Let h be j(16). Suppose 0 = -4*x + 267 - 15. Calculate the highest common divisor of h and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = 2*y, 3*r + 2*y = 14. Suppose r*z + 0*d + 3 = d, 2*d - 15 = -5*z. Let x be z + 3\/(-3) + 76. Calculate the greatest common factor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x**2 - 36*x - 40. Give o(-11).\nAnswer: -733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = 0, 7*o - 8*o = 2*t + 20. Which is bigger: -33 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*h + 43 = 6*l, 4*h = 2*l - 46. Suppose y + 3*s - l = -3*y, 16 = 5*y + 2*s. Calculate the remainder when 2 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13718017 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = 53 - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1657 - -1660. Which is the closest to p? (a) -0.006 (b) 5 (c) 1\/2 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i + 63. Let b be d(0). Put -0.5, -1\/5, b in descending order.\nAnswer: b, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 284 = -52. Let q be ((-24)\/z)\/(-2 - (-11)\/7). Determine c so that 8\/3*c**3 + 0 + 5\/3*c**4 - q*c**2 + 0*c = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-11)\/(77\/(-28))). Sort 15, 8, o, 3.\nAnswer: o, 3, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*c = -x + 17, -x + c = -14. Suppose -5*b = -x - 2. Find the second derivative of -9*m**4 + 2*m + 9*m - b*m + 5*m wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 577031590?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 142d (base 15) to base 9\nAnswer: 5827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*w**3 - 157 + 157)*(4*w + w - 5*w + w) as s*w**4 + d*w + a + q*w**2 + u*w**3 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1308 divided by 142.\nAnswer: -654\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -17\/2. What is the third smallest value in 1\/3, -2, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63581 - 0.0294?\nAnswer: -63581.0294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 60 = 5*l, 0 = 4*l + 2*d + d + 55. Let n be 6\/(-9)*27\/l. Factor n*j**2 - 12\/5*j + 3\/5.\nAnswer: 3*(j - 1)*(3*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4\/7 + 1630924*h**3\/7 + 332489136722*h**2\/7 = 0?\nAnswer: -407731, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w + 3*j = -44, 3*j + 12 = 0. Calculate the least common multiple of 10 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1251735\/8 + -1365642593\/8728. What is the common denominator of -59\/3 and g?\nAnswer: 6546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00051 rounded to 5 decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 6 + (7 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - 33\/(-2). Let i = -13 + l. Suppose -3*c + 434 = -5*z, c - i*z + 627 = 5*c. What is the greatest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*z + 4*z**3 + z**2 + 9*z + 2 in the form r*z + o + l*z**2 + y*z**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109096 is divided by 1515.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/60 + 7*k**4\/24 + 17*k**3\/6 + 37*k**2. Let m be t(8). Solve 2*d = -s + m, 3*d + 4 = s + 4*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -100 (b) -0.0336 (c) 0.4 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 + 139 = 42*c - 509 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -40*z**2. Let k(m) = 2*m**2. Calculate p(k(o)).\nAnswer: -160*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 11) in base 12?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 126 = 18*u - 5*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 18 = n, 4*x + n = -11 - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*k - 2*u - 6431, -2*u = 5*k - 6432. Let g = k + -6406\/5. Let x = 1947 + -19347\/10. Calculate the common denominator of x and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y - 3*y + 6*y)*(0 - 3 + 1 + (3 - 2 + 0)*(0 + 2 - 4)) to n + q*y and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/249494547 and -9\/5.\nAnswer: 1247472735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3 (b) -5 (c) 17 (d) -0.3 (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2\/(8*(-1)\/(-2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-3 - 4 - 2)*((s + 0*s + 3*s)*(-3*s**2 + 3*s**2 + 6*s**4) - 5*s**5 + 6*s**5 - 2*s**5).\nAnswer: -414*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.7 (b) 9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + -5 - 1 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -22, 226, 16 in increasing order.\nAnswer: -22, -11, -2, 16, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 11 + 5. Suppose 795 = 5*k - 5*h, 4*k - p*k - 4*h = -604. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02266 - 3.02266. Which is the nearest to -1\/4? (a) 4 (b) -5 (c) 2\/137 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.63, -1\/71, -224?\nAnswer: -1.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 8 - 2 + 6. Let r be o(8). Solve 0 = 5*k - r*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1103.2914576 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11351, 90851, 306635, 726845, 1419623, 2453111, 3895451, 5814785?\n\"Answer: 11357*r**3 + r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w + 16. Let p be y(0). Let x be 2 + 0\/3 + p. Suppose u + 4*d - x = 0, u - 53 = 5*d - 8. Calculate the highest common divisor of 12 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1047339 or 1047314?\nAnswer: 1047339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 4*z**2 - 7*z**2)*(-5 + 5 - 2*z**2)*((0 + 1 + 0)*(3 - 2 - 3) + 0 + 2 - 4).\nAnswer: -56*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -13, -19, -25?\n\"Answer: -6*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 106 = -29*y + 30*y, 3*y - 285 = -5*m. Suppose -4*v + y = 16*v. Let b(w) = -w**3 + 5*w**2 + 2*w - 4. What is b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5175\/3450*(-4)\/6*2*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 + -127. Solve m = c - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 5*o**2 + 4*o**2 + (-4 + 4 + 2)*(5*o**2 - 4*o**2 + 0*o**2))*(4*o - 4*o + o) + 761*o**3 - 43*o**3 - 181*o**3.\nAnswer: 538*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306395 a multiple of 716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -23.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -4, 58.933 in descending order.\nAnswer: 58.933, 37, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -167 * -2009.4\nAnswer: 335569.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3101*n**2 + 11*n + 8. Let w be y(-1). Suppose 2*o - 4*d - w = 0, 2*o + 2*d - 1212 = 1868. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1 - (-9)\/(-2)). Let n = 0 + 0.4. Suppose -2*t + 20 = -7*t. Which is the biggest value? (a) t (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*d**2\/2 - 9519*d\/2 + 366 = 0. Calculate d.\nAnswer: 1\/13, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w + 1. Let l be d(-11). Let n = l + -8. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = a + 1, -5 = -0*n - n + 5*a. Suppose -113 = 3*w - r - 1677, n = 5*w + 2*r - 2592. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2*d - 9)*(4 - 2 + 0)*(-528 + 528 - 234*d**2).\nAnswer: -936*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 398, 400?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**13\/h*h**8 assuming h is positive.\nAnswer: h**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.38 - 2.28. Let v = n + 2. Let p = v + 0.1. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -0.6532.\nAnswer: -0.3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12 - 7) + 20)\/((-15)\/123) + 8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a factor of 211183260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a**4 - 10*a**3 + 2*a**2 + 82*a - 24. Let i(t) = t**4 - t**2 + 6*t - 1. Let n(r) = 12*i(r) - j(r). Suppose n(p) = 0. What is p?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/12)\/(-2 + (-273)\/(-130))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -128*t - 160. Let c(j) = 57*j + 81. What is -7*c(y) - 3*f(y)?\nAnswer: -15*y - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.47 + -0.22. Let k = 0.13 - f. Let t = 0.11999888 + k. Round t to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9346 - -46778\/5. Find the common denominator of g and (-1)\/(-2) - 23\/90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 36 = 21*s. Suppose 0 = -f - 5*b + 14 + 21, -3*b = -s*f + 48. Calculate the remainder when 149 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/39 - 59\/(-3). Let k = -1112 - -1137. Solve 0 = -t*y + 14*y - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 42 in decreasing order.\nAnswer: 42, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 1 - 1 + (8*a**2 + 120 - 120)*(-5 + 6 + 3).\nAnswer: 31*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10\/((-10)\/(-1)))\/((-42)\/(-90))\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -269*f + 4576. Let a be v(17). Solve 3*u - a*l = 21, u - 2*l + 1 = 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyst when four letters picked without replacement from tytttsy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ea (base 16) in base 2?\nAnswer: 111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*c - 4 - 2, -5*n + 4*c + 28 = 0. Suppose -5*u = -2*z + 31, u - 106 = -5*z + n*u. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/((-1)\/(-30)). Let j(n) = 11*n + 101. Determine j(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 + -150.043. Let d = 155 - 155.158. Let u = o - d. Round u to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6634179 divided by 6.\nAnswer: 2211393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) -2\/1043 (c) -27 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4 + 146*p**3 + 8160*p**2 - 34328*p + 34880 = 0?\nAnswer: -40, 2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 21*b + 95. Calculate the remainder when s(-17) is divided by (-118)\/(-8) - 1\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4035678 + -2185678. What is v rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/((-77)\/28 + 3). Let l be 672\/t - 2*2\/16. Solve c + 5*r = 5*c + 6, -3*c + l*r = 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 41*g**2 + 238*g.\nAnswer: g*(g - 34)*(g - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 90715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (249\/243 - 1)*-3*-3. Factor 0 + v*i**2 - 2\/9*i.\nAnswer: 2*i*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w - 20. Let f(g) = -g - 9. Let y be f(-7). Sort w, y, 0.2.\nAnswer: w, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*w - 6*w + 21*w**2 - 14 + 16*w wrt w?\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284*o**3 - o**6 + 40*o**2 - 144*o**2 - 16*o + 44*o - 29*o + 13*o**3 wrt o.\nAnswer: -120*o**3 - 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4030662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/1961 + -170621\/13727. Let a = d + 12. Suppose 3*m = -y - 4, 4*y - 3*m - 20 = 9. What is the third biggest value in a, -0.4, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1894.81 to zero dps.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111348310 to the power of 1\/3, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = 3*q, 2*q - 5*w + 3 - 28 = 0. Let s = -8 + 12. Is (-30)\/s*(-4)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 8*h - 293 + 235, -20 = -4*h for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 168 = -10*b. Let y(s) = s**2 + 3*s - 7. Let j be y(-5). Suppose 49 = j*v + 10. What is the remainder when b is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 7*v**2 + 10*v - 1. Calculate o(7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70845\/(-40)*-4*(-100)\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 3\/4, -5, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/17)\/t**(3\/2) assuming t is positive.\nAnswer: t**(-53\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3880.877 micrometers to centimeters.\nAnswer: 0.3880877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7*((-31255)\/(-4275))\/(-47)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, -15266, 4\/3?\nAnswer: -15266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11460413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/48 - 2*i**3\/3 + 8*i**2 - 2*i. Factor g(q).\nAnswer: (q - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let k = 4 - m. Let l = -0.0357 + 0.0357. What is the second biggest value in l, k, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 846 = 141*a - 92 + 897 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - (-1 + (-501)\/2). Let c = t - 124. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:58 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*m + 4, -m + 1219*b - 1222*b - 7 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/((-245)\/(-16))*-1)\/((-11)\/(-5))?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1. Let s be 1*(5 - 3) + 10. Let g(f) = -3*f + 12. Determine s*k(m) + g(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fww when three letters picked without replacement from {b: 1, w: 2, h: 5, f: 8, d: 2}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = o - 60655, 21*o + 5*i = 25*o - 242664. What are the prime factors of o?\nAnswer: 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**4\/z)\/z*z*z**6)\/((z*(z*z**4*z*z*z)\/z*z)\/(z\/z**(2\/11)))*((z*z\/(z**1\/z))**28)**(-19) assuming z is positive.\nAnswer: z**(-11684\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13842*h**3 + 6964*h**3 + 6880*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196 + 356. Suppose y = -2*d + 4*d. What is the greatest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-5)\/(-1) - 0. Suppose 4*b - 25 = -x. Solve -1 = -4*y - b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101110001101110 (base 2) to base 10\nAnswer: 23662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1204?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49368?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8 = 2*u. Let p(z) = z**3 - 6*z**2 + 4*z + 6. Let r be p(5). Find the second derivative of f**3 + u - 3 - r + 2*f wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + p = 11, 3*s = 4*s - p - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1450 or -1713?\nAnswer: -1713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0 + 0*i - 1\/60*i**5 - 1\/6*i**3 - 2*i**2 + 1\/3*i**4. Suppose 861*k - 19 = 869*k - 83. Give d(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-5))\/(2\/(-10)). Suppose 2*y - s = -0. What is the tens digit of 66\/4*y\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.87 and -2.\nAnswer: -9.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9528 + 9546. Solve 43*a + 24 = -2*b + 38*a, -3*b - 3*a = d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*d = -16, -4*h = -5*d + 13 + 3. Suppose -3*k - 2*k = 0. Sort -5, k, h in increasing order.\nAnswer: -5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(153)*4 - (-5 + sqrt(153) + (sqrt(153) + 1 - sqrt(153))) - -4*(sqrt(153) - (1 + sqrt(153)*-2))) + 2)*2)**2.\nAnswer: 144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**5\/30 - g**4\/4 - g**3\/6 - 95*g**2\/2 + g + 47. Let s(k) be the second derivative of x(k). Give s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8793155?\nAnswer: 5, 7, 251233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*f + 895 = -3221. Calculate the highest common divisor of 364 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0742977 millilitres?\nAnswer: 0.0000742977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182\/6 + (-12)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - t + 25, 5*x - 5*t = -10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 71044710.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -69, -95, -131, -177, -233?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -28\/71731?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 10 = -0*d - d, -2*d + 7 = -3*y. Let c be 4 - 1*(y - -4). Let x(f) = -f**3 + 2*f**2 + f. Determine x(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.1. Let l = 1379 - 1383. Which is the closest to v? (a) l (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -53. Suppose 4*p + 20 = -2*u - 4, p = -t. Calculate the common denominator of -91\/18 and (-318)\/(-40) - u*24\/(-128).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31888735759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3459990 divided by -29.\nAnswer: 119310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2820098116.9 minus -493?\nAnswer: -2820097623.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 38. Let m(r) = 4 + r + 0*r + 0*r. Let u be m(-3). Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 2?\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 188*d**2 - 4867*d.\nAnswer: -d*(d + 31)*(d + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/5))**(-29))**(3\/13))**(-4\/9) assuming i is positive.\nAnswer: i**(116\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9690*n**2 - 4 + 6 - 9694*n**2 - 2*n**4 + 29*n**3 as o*n**2 + p*n**3 + a*n**4 + c + i*n and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1283382 by 13653.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2 + 0)*17. Let c(r) = 195*r + 103. Let k(t) = 91*t + 51. Let j(i) = -6*c(i) + 13*k(i). Is j(z) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327224, -327510, -328288, -329804, -332304, -336034, -341240?\nAnswer: -348168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -55*m - 366. What is the remainder when 111 is divided by o(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.54 and -90095.492.\nAnswer: -90096.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -25*g - 93 - 578. Suppose -d - 4*d - 165 = 0. Let s = g - d. What is the remainder when 19 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1668*v**2 + 9423*v**2 + 3365*v**2 + 1459*v**2 + (0 - 2*v**2 + 0)*(-1 + 1 - 2) in the form r + n*v + y*v**2 and give y.\nAnswer: 12583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:16 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 minus 852871?\nAnswer: -852849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -i - m, 5*m = -2*i. Let j(z) = i + 3 + 3 - 5. Let h(n) = -n**2 - 6*n - 5. Let o(q) = h(q) + 2*j(q). Calculate o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -50*y**2 + 22*y + 36*y**2 - 22*y. Let k(x) = x + 2. Let w(z) = 4*z + 7. Let i(t) = -7*k(t) + 2*w(t). What is i(c(p))?\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-6)*(-8)\/12. Let z be r*(4\/(-2))\/(-2). What is the common denominator of 145\/6 and 393\/(-45) + (-2)\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0.9, 3, -94, 0.3 in ascending order.\nAnswer: -94, 0.06, 0.3, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56755, -55789, -54179, -51925, -49027?\nAnswer: -45485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j*(j**(-33)\/j)\/j)\/(j\/((j\/(j**1*j))\/j)*j)**(-43) assuming j is positive.\nAnswer: j**(277\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 3 - 6)*(-4 + 4 + c) as m*c + d and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 + 3*r**2 - r - 11. Is g(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k + k. Let x(z) = 6*z - 9. Let d(i) = 7*i - 10. Let t(c) = 5*d(c) - 6*x(c). Let m be t(3). Is k != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -5593, 3\/5, 1\/3, 124?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*c - 544, -2*z + 516 = 2*z + 4*c. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(100\/(-208)) - 4\/10. Suppose 4*u - f = 6. Let o = 2 + 0. Calculate the lowest common multiple of o and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/19, -9, -1\/4, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568 + 557. Let h(l) = -l**3 - 11*l**2 + l + 44. Let a be h(p). Let u be 2\/(-5) + (-114)\/(-10). What is the greatest common divisor of u and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 4810\/(-429))\/(28\/42).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(-3*(-1)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75205, 75204, 75203, 75202?\nAnswer: 75201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.85 + 0.1. Let p = j + -0.25. Let t = 15 + p. What is the second smallest value in t, -1, 0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -503, -727, -957, -1199?\nAnswer: -1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14396780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = 2*a + 2*c, 2*a + 18 = c. Let i = -2 - a. Let j(m) = m**2 - 2*m - 1. Does 14 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-35)\/(-10))*11\/143.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/((-16)\/4 + 2)*-1. Does 13 divide i\/(-9) - 1004\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**5\/20 + b**4\/12 + b**3\/6 + 33*b**2\/2 + b. Let f = -2 - -2. Is q(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -663*m + 5*m**2 + 202*m - 38*m - 4*m**2 in the form u + c*m + d*m**2 and give c.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15 + ((-2)\/1 - 0). Let s = w - -11. Let i(n) be the third derivative of n**4\/4 + 6*n**2. Let v(a) = 2*a. What is s*i(y) + 17*v(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 6*a**2 + a - 1. Let b be g(6). Let k be 1\/((-3)\/(-9) + 0). Suppose -b*x + 3*t + 104 = -93, 124 = k*x + 4*t. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 17 - 21 + i as o + w*i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 - 19077*r**3 + 57210*r**2 - 38136*r = 0. Calculate r.\nAnswer: 0, 1, 2, 6356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 3*k**2 + 6*k - 4. Let u(x) = -x**3 - 5. Let v be u(0). Let h be a(v). What is the remainder when 39 is divided by -1 + 3 + h + 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 31537168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 8*u - 1. Let r(m) be the third derivative of m**4\/12 + 30*m**2. Let a(q) = 3*r(q) - s(q). Find p, given that a(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Let m(y) = 8 - q*y**2 - 8. Let o(n) = 150025*n - 3*n**2 - 150025*n. Give o(m(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - 35) + 16 + 22 + -1 + -8\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 203, 1732, 5855, 13856, 27019, 46628, 73967, 110320?\n\"Answer: 214*d**3 + 13*d**2 - 8*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 461*h**3 + 2955*h**2 + 2 + 2800*h**2 - 2 - 4720*h**2 wrt h?\nAnswer: 2766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650863063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1093*j - 16779. Determine p(13).\nAnswer: -2570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 168220 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23955842.2 * 3.\nAnswer: 71867526.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*n*y**3 + 70*d*y**3 + 2*d*y - 203*n + 2*y**2 + 3*y wrt y.\nAnswer: -12*d*n*y + 420*d*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqyyyqqqyyyyyy. Give prob of sequence yqyy.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - n + 0 + 6 = 0, -4*c + 5*n = 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from ryyir.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 10*a**2 + 13. Determine m(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4.9522 * -0.3\nAnswer: 1.48566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 223491 (base 11) to base 16\nAnswer: 56e79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*322.62.\nAnswer: -258.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 - 3*o + 3*o + (6*o - 3*o - 2*o)*(3*o - 2*o - 2*o) - 3*o**2 - 4*o**2 + 5*o**2 + (5 - 3 - 1)*(o**2 + o**2 + 0*o**2).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/73792 and 73\/1056.\nAnswer: 2435136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 189?\nAnswer: -9.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 17739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 966, 3865, 8698, 15465, 24166?\n\"Answer: 967*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5b + b?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-3))\/((-192)\/(-288))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*h - 179*h + p = -1, 0 = -p - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/980 and -41\/6370.\nAnswer: 12740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.1 and -0.0319.\nAnswer: 0.44979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 12, 0.5 in descending order.\nAnswer: 12, 3, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + -0.34. Let w = -8 - -11. Suppose 0 = t + w - 0. What is the second biggest value in t, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - m + 5*m**2 + 6*m - m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 0. Let t be (-2)\/(6\/9) + f. List the prime factors of t\/(5\/12)*-1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, 260, -8 in decreasing order.\nAnswer: 260, 236, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84561886079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 59 = 4*l, -3*l + 5*b = l - 109. Let g be l\/6*(-8)\/(-4). Solve 2*h + 3*d + g + 4 = 0, -3*d = -h + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(4336\/(-1084))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/8488 and 109\/952?\nAnswer: 1010072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**2 + 2*p - 2*p + (-7*p + p + p)*(4*p - 3 + 3).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 2*v**2 + 3*v - 2. Let u be b(4). Let w be -9 + 5 - (1 + u). Solve -4*f - 3*g = -13, 4*f = g - 0*g + w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3703 equal to -3704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -50, -60, -36, 40?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -52. Let u(t) = -t**2 + 18*t - 21. Let y be u(z). Let h = y - 221\/5. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 33. Let m(f) = 5*f + 37. Let g be m(q). Solve 0*u + 5*t - 2 = -u, u - 2 = g*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919397.\nAnswer: 59, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101737240 a multiple of 2707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15587.3 and 10.4.\nAnswer: -162107.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16656452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211203 to the power of 1\/2, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 2204?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = w - 8*x - 68 + 42, -5*x - 60 = w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a + 4 = 0. Suppose -3*y + 12 = 2*b + y, 0 = a*y - 4. Calculate the remainder when 11 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 1867*x**9\/252 + x**5\/60 - 33*x**3 - 3632*x**2. What is the third derivative of d(z) wrt z?\nAnswer: 448080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79453 divided by -233\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g - 13*g - 22473 = 25*g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -20. Let i = s - -15. Suppose -5*p - 5 = 0, i*p - 62 = -4*b - 0*b. What is the remainder when 30 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011153511 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34077 = -2349*k + 1428*k for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14382691?\nAnswer: 2459, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -7. Suppose -5*u + 2 = -3, 0 = -i - 4*u + 6. Let x(c) = -33*c + 13 + c**i + 13*c + 10*c + 0*c. Determine x(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/30 + o**4\/3 + 2*o**3\/3 + 4*o**2. Calculate the least common multiple of w(-5) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p\/(p\/(p**5*p)*p*p)*p)\/p)\/(p*p*p**(-1\/4)\/p)*(p*p*(p**(-1\/12)\/p*p)\/p)\/p**(-3) assuming p is positive.\nAnswer: p**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 0 + 7*h + 7*h - 13*h - 4. Let x be b(7). Let r(m) = 22*m**x - 36*m**3 + 15*m**3 + m - 4 - 2*m**2. Give r(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-3)\/((-12)\/8). Suppose -4*y + 4*t = -2*y - 32, m*t = -2*y + 16. Calculate the least common multiple of 36 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 5, y: 3, k: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 36920600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m + 274*m + 119*m in the form c*m + g and give c.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5001*n - 1. Let y be w(-1). What is y rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35 + 24991\/(-335) + 40. Let y = -6 - -8. Solve 1\/5*q**y + 3\/5*q + c = 0 for q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36835 or 36841?\nAnswer: 36835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111088.\nAnswer: 2, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-54)\/(-45))\/(-1))\/(6\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 2*f**3 - 2*f**3 + 1 - 1 + f**3 + (3*f + 11*f - 12*f)*(f**2 - 2 + 2) + 2*f**3 - 3*f**3 + 3*f**3 as g + b*f**3 + d*f**2 + h*f and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*a + 37 - 175 = 358 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -764, -2855, -6378, -11333, -17720?\n\"Answer: -716*i**2 + 57*i - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, h: 2}. Give prob of picking 1 h and 1 o.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.10241 centuries in months?\nAnswer: 106922.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/9, 5639, -10, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(325) + sqrt(325) + 0 + 2)*-2 - ((0 + sqrt(325))*5 - (sqrt(325) - (sqrt(325) + 1*sqrt(325)))**2*-5)) + -3 + -3.\nAnswer: -1634 - 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 169527*a\/4 + 3474463\/2.\nAnswer: (a + 41)*(a + 169486)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -1694*r**3\/3 - 1735*r + 1502. What is the derivative of j(k) wrt k?\nAnswer: -3388*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -116, -255, -460, -737, -1092?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -13. Let s = c + 5.3. Put s, -5\/6, 2 in increasing order.\nAnswer: -5\/6, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 288*((-54)\/(-6))\/9?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-19)\/(-1) + -1). Let x be (-60)\/(-27) - (-4)\/n. Let g(j) = -5*j**2 - 6*j**x + 4*j**2. Let u(o) = o**2. Calculate u(g(f)).\nAnswer: 49*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2818, -1, -4, -0.15?\nAnswer: 0.2818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2. Let b(y) = y + 0*y + 4 - 4. What is b(p(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1112111?\nAnswer: 1112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57723647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -60, 1.\nAnswer: -60, -14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 14. Let y = d + -6. Let o = 6 - y. What is the smallest common multiple of 8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682489*u**2 + 682489*u**2 + 100*u**3 + 0 + 0.\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - c - 1. Let h(q) = -2*q**2 - 13*q - 5. Determine -h(n) + 3*z(n).\nAnswer: -n**2 + 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 91*y. Let t(r) = 5*r**2. What is h(t(c))?\nAnswer: 455*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301 - -335. Put 1, -2, j, 0 in increasing order.\nAnswer: -2, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2*k**2 - 2*k + 1. Let p be y(-2). Suppose 3*g - 2*q = -40, 3*g + 2*q + 30 = g. Let r = p - g. Solve -r*v + 9 = -f, 2*f + 16 = 4*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 9?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(3075\/550)*(-6)\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:12 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**6\/120 - 3*s**5\/20 + s**4\/4 - s**3\/2 + 577*s**2. What is t(-10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -49668\nAnswer: -49663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.3 - 16.3. Let l be (3\/63)\/((-1)\/(-6)). What is the second smallest value in s, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + 110?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1076*s**2 - 523*s**2 - 537*s**2 + 3 - 31*s**3 wrt s?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/12 - 5*y**3\/3 - 3*y**2\/2 + 36*y. Let c be n(-4). Let r be (-6)\/c - 44\/(-7). Solve z + z + r = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 6*k + 138 = -5*m, -2*m + 6 = 0. Calculate the highest common divisor of k and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 251 and 4.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - ((((sqrt(90) - sqrt(10)) + sqrt(10))*2 - sqrt(10)) + sqrt(10)))\/(4*(sqrt(5) + sqrt(80))))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - -2.6. Let d = u - 8. Let n = 4 + d. What is the nearest to n in 4, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + 5 + 19\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-10)\/4*(-1568)\/(-245))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -2\/5, -196\/25, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 6*w + 120. Let t(k) = k**3 + 12*k**2 - k - 12. Let x be t(w). Solve -4*p = 2*j - 6 - x, 3*p + 6 = -5*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -1.4. Let n = z + -3.4. Let x = 331\/7 + -47. Which is the closest to 0.2? (a) x (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o - 6800000. Let k be t(0). What is k rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2 = 2*c, -2 = -c - 18*u + 20*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11103 (base 4) to base 10.\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j + 3. Let y(h) = 94*h - 25. Give 51*t(a) + 6*y(a).\nAnswer: -48*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1713, 3426, 5139?\nAnswer: 6852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4968 and 4968.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 30*c + 123. What is t(18)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 74*n + 14 + 69*n + 4*n**2 - n**3 + 70*n - 215*n + 7*n**2. Calculate z(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*v - 1 = 0, -4*y - 5*v - 1 - 2 = 0. Let k be (0 + -1)\/(3\/(-45)). Let l = k + y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + a?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(143)*-5)\/(-2*sqrt(44) + sqrt(44))*1)**2.\nAnswer: 325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/5*-5 - (-3666)\/13. Calculate the greatest common divisor of q and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90*9\/(-180)*(-44)\/(-27)*3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 1. Is k(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1211132 - 5?\nAnswer: -1211140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 - -3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212 - -1862. Suppose 0 = -490*q + 487*q + a. Calculate the remainder when q is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vta when three letters picked without replacement from {v: 7, a: 12, t: 1}.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6198.62 minutes in microseconds?\nAnswer: 371917200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:38 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*j = 8*j + 133 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -170. List the prime factors of u.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/102 and 97\/238.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 79 - 457 = 0. Let g = s - -192. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10080 and 92988.\nAnswer: 3719520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*l + 4*g + 1 = -168*l - 8, -l + 8*g + 71 = 20 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-40)\/(-5))\/((-62)\/62)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61703155.\nAnswer: 5, 29, 41, 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q - 2*q)*(0 + 4*q**3 + 0) + 3*q**4 + 6*q**4 + 4*q**4 + 4*q + q**4 - 2*q**4 - 2*q + 2*q**3.\nAnswer: 20*q**4 + 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 1 - 13)*(4*t - 3*t + 0*t)*(85*t - 301*t - 17*t) to the form b*t**2 + c*t + z and give b.\nAnswer: 1165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:21 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 159.\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594.924 litres in millilitres?\nAnswer: 3594924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -187052 and 0.226.\nAnswer: -187051.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*n = -5 + 62, -m + 4*n + 29 = 0. Suppose m*i - 14*i = -133. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(20\/5) - (0 - 1376). Let b be 4\/(-9) + t\/18. Suppose -3*k + 427 - b = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -0. Suppose -2*i - 74 = 2*w, -5*i + 30 = r*w + 95. Let q = w + 38. Let t(b) = 3*b**3 + 3*b**2 + 4*b + 2. Calculate t(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1733.1 + 1733. Let i be (-21)\/(-19) + (5 - 6). What is the nearest to x in i, -0.4, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8866.614 micrometers to centimeters.\nAnswer: 0.8866614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.181 - 0.181. Which is the second biggest value? (a) d (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1049322 and 37\/2.\nAnswer: 1049322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, -12, -1\/13, 271\/80 in increasing order.\nAnswer: -12, -0.5, -1\/13, 2, 271\/80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**4 - 4*s**4 + 2*s**4)*(1 + 4 - 1).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k + 2. Let n(z) = -216*z + 4. Determine -n(a) + 3*s(a).\nAnswer: 237*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -5. Calculate the common denominator of 12\/(-2) - r\/1 and -4 - ((-72)\/7)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -890*w - 56 - 136*w + 55.\nAnswer: -1026*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31\/3 - 10. What is the nearest to 1 in i, -3\/2, -1\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, q: 1, f: 2}. What is prob of sequence ffq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 + 15*q**3 + 38*q**3 - 24 - q + 117*q**2 + 2*q + 26 in the form x*q**3 + j*q + b + z*q**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c. Let z(o) = -5*o. Let m be 22\/4 + 36\/24. Let s(h) = -2*h + 0*h - 5*h - m*h. Let n(q) = -4*s(q) + 11*z(q). Determine n(i(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -29. Suppose b*i + 5*z = 22 + 139, 87 = 3*i - 3*z. Suppose -3*v = -i + 10. Solve -2*t = -2*y - v, -3*y = 2*y + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/30 + 4*d**2. Let f(u) be the second derivative of 0 + u + 0*u**2 - 1\/2*u**3. Give f(a(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 8:29 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 4*p + 4. Let v be k(-4). Suppose -v*b + 10 = -10. Let j(r) = r**3 - r**2 + 4*r - 3. Let w be j(2). Solve -b*q - w = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 8*y**2 - 9*y + 9. Let u be g(7). Let l(m) = 2*m - 3. Let b be l(4). Sort -3, b, u.\nAnswer: u, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*m + 402 = -375 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -602076.1 rounded to the nearest 1000?\nAnswer: -602000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2885037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 - 348*k\/5 - 704\/5.\nAnswer: 2*(k - 176)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(12\/20)\/(18\/40*-4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -852, -1675, -2794, -4221, -5968, -8047?\nAnswer: -10470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 + t - 4. Let q(r) = -1. Let g(f) = h(f) - 4*q(f). What are the prime factors of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178482370 by -113.\nAnswer: -1579490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-2\/95))**(-16\/5)*(f*f**1)**(-3\/49)*((f**(1\/3)*f)\/f)\/(f*f**(2\/3)) assuming f is positive.\nAnswer: f**(-106354\/69825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -710 + 759. Let a = d + -50. What is the third biggest value in -62\/5, 3, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/12 - 5*k**3\/3 - 6*k**2 - 6*k. List the prime factors of c(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-28)\/(-4) - (916\/(-138) - 65\/(-39)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/6232 and 55\/6232.\nAnswer: 6232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*m + 66, 0 = 5*m - 3*y + 5*y - 189. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1031255?\nAnswer: -1031255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28694760?\nAnswer: 2, 3, 5, 43, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*s - 77 = -5*x + 121*s, -2*x - 4*s + 36 = 0. Solve -8*g = -40 + x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -24, 0.049 in ascending order.\nAnswer: -24, 0.049, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (599\/(-1797))\/(14\/(-15) - -1). Sort i, -4, -95 in descending order.\nAnswer: -4, i, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 3. Let s be c(11). Let j = s + -42. Suppose -4*a + 5*t + j = 0, 0 = -4*a - 5*t + 16 + 19. Solve b = -0*b + 3*n + 19, -41 = -4*b + a*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169092916 by 42273229.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-420)\/(-98)*28\/3. What is the derivative of m**3 - 3*m**2 - r - 27*m**2 + 15 - 50 wrt m?\nAnswer: 3*m**2 - 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b + 126 - 38 - 42 - 47 as c + h*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16*x + 160 = 20*x, 3*q + 2*x = 117. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20560*l**3 - 10278*l**3 - 10249*l**3 + 204 in the form o*l + y*l**2 + p*l**3 + c and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.64 + 4.54. Which is the nearest to -0.04? (a) -4 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h - 5*h - 25, -t = h + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywwjjwwwwwy. What is prob of picking 2 w and 1 y?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 101*g**3 + 8*g.\nAnswer: 101*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245450 - 343113?\nAnswer: -1033003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 916 divided by 4.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 150 (base 7) to base 10\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016868768 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 8:15 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -6. Let q be (27\/(-18))\/(g\/4). What is the biggest value in q, 0.2, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3516 + 3700. Let b be (0 - 0)*1 - -4. Suppose -b*w + 128 = -x. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 125*f + 0 + 125*f + 0.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -14*k + 10*k - 1 + 6*k. Let x be r(2). Differentiate -y**x + 0 - 5*y**3 - 7 with respect to y.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/20 + t**4\/3 + t**3\/2 - 5*t**2\/2 + 3*t. Let y be s(4). Suppose -p - 2*n + 0*n - y = 0, -5 = n. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 28, 35, 42, 49?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10064)\/(-528) - 19 - (-32)\/3432*-23?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) -4 (c) -1\/2 (d) 0.8 (e) 517\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1410217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 13956.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 680 and 2299862.\nAnswer: 45997240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 7 + 1 + -10 + 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 4*s**2 - 2*s**2 + (29 - 9 + 14)*(s**2 - 2*s**2 - s**2).\nAnswer: -70*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q - 570 = -71*q + 32*q. Calculate the highest common factor of 3211 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 43. Let l be (q\/10)\/(2\/5). Solve -8 = -5*t - l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8374, 8376, 8378?\n\"Answer: 2*m + 8372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*r + 50 + 75 - 102 + 0*r + 0*r + 2*r + 2 - 2*r - 2 + (-2*r + r + 3*r)*(-3 + 0 + 1) to z + s*r and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -44. Let j be (15\/o - 23\/21)*-3. Solve 0 = j*g + g + 3*f - 6, 5*g + 4*f = 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8974 + -430801\/48. What is the common denominator of 73\/42 and o?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 459.9862mg?\nAnswer: 459986.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1. Let r = 44 + -49. Let z(l) = -l + 6. Let b(k) = r*u(k) - z(k). Calculate b(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10312*o**2\/13 + 61882*o\/13 - 60\/13.\nAnswer: -2*(o - 6)*(5156*o - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48.1896759*0.3.\nAnswer: 14.45690277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n - 189. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2109 times -0.038?\nAnswer: -0.0080142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32*0.5.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 16 = 75*s - 72*s, -5*s = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -848664, 0, 0.7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76517762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 706*q - 711*q - 235, 2*q = 2. Solve 21*j - 13*j = u for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13472422, -13472421, -13472420, -13472419?\nAnswer: -13472418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-2*-2)\/sqrt(5))\/(3*((sqrt(300) + sqrt(12))*-3 - sqrt(12) - sqrt(12))).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x**2 - x - 1. Let m(a) be the first derivative of -a**4\/4 + 11*a**3\/3 + a**2 + 2*a + 1549. Calculate m(j) + 2*o(j).\nAnswer: j**3 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 173229 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233463727 - -0.09.\nAnswer: 233463727.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -150 and -3227647.\nAnswer: 484147050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(9\/1))\/((-5)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (66\/36)\/11 - 23\/(-6). Suppose -6*j + 20 = -j. Solve o + w*o = -j*s - 11, -3*o + 15 = -3*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let b(n) = -2442*n**2 - n + 2. Calculate b(c(f)).\nAnswer: -2442*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 371 and 34383485?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-12) + 3\/(-6). Let g be 1\/5 + 12\/(-30). Put g, w, -2 in decreasing order.\nAnswer: g, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 15, -2, 363, -104, -3 in descending order.\nAnswer: 363, 15, 4, -2, -3, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 2*g + 2. Let v be l(3). Suppose v = -h + 8. Let k = 0.7 - 2.7. Which is the smallest value? (a) k (b) -5 (c) h (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 5. Let i be k\/(-8)*6*-2. Suppose -2*h + 0*h = -2. What is the second biggest value in h, 0, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -14*m**2 - 1664*m - 346112\/7 = 0.\nAnswer: -416\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -30 (b) -0.5 (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5083 and 1.506368404.\nAnswer: -5081.493631596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -b + 136*h - 132*h + 3, 39*b - 154 = -2*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688 = -61*m + 383 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/11? (a) -0.5 (b) -2.55108 (c) 0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k. Suppose 116 = 3*v - 8*v - 4*t, 4*v = -4*t - 92. Let s(j) = 3 + j - 3. Let p(h) = v*s(h) + 3*w(h). What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 392.8 - -2.2. Let b = m + -387.34. Let a = 7.660459 - b. Round a to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 39*w + 224. Determine o(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45583881*a**5 - 3368562*a**2 wrt a?\nAnswer: -2735032860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21605 + 21609. Calculate the lowest common multiple of 6024 and i.\nAnswer: 6024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 6:19 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062673 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d7e5 (base 15) in base 12?\nAnswer: -bb745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -50*l + 41. Let d(o) = 0*o + 10*o + 21 - 9*o - 26*o. Let s(a) = 7*d(a) - 4*t(a). What is the derivative of s(k) wrt k?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -113, -117, -141, -191, -273, -393, -557?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 54341540 to the nearest 1000000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.7, 5, 302.06, -0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.042 in -1\/8, -2, -0.3, 1\/2, -31?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*o + 24 = 0, 5*j - o = 8*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1233993*o**3 + 121*o**2 + 4903.\nAnswer: 7403958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.6 and -91811.3.\nAnswer: -91813.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 8) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(88)\/sqrt(44)) + (sqrt(78)\/sqrt(6))**2*-2 + 4.\nAnswer: -22 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -9. Suppose 3 = -l*r - 7. Let q = r - -16. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162 + 152 + 0 + 2 + 78 + 18.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 + (40\/4)\/(-2). What is the remainder when (b - 18)*((-15)\/6)\/1 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -i - 71, l + 2*i = 4*i + 32. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1625\/100 + -17 + 1\/12 - (-326)\/(-6).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 - 140. Suppose 5*y - 19 = w, -w - f*w - 4*y = 0. Put 0, w, 5, -1 in ascending order.\nAnswer: w, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:10 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965902?\nAnswer: 2, 7, 68993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 + -0.146. Let b = i - 0.2. What is b rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -129ea0 - 21?\nAnswer: -129ec1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4126320 + -2?\nAnswer: -4126322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/(25279\/8922)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16\/7, 0.04, 12\/17, -5, 3 in descending order.\nAnswer: 3, 12\/17, 0.04, -16\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2. Let x(h) = 49*h**2. Give z(x(y)).\nAnswer: -12005*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504728 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:10 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4079213 take away 1.33?\nAnswer: -4079214.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 13*c + 36. Let x be (-30*7\/(-14))\/(c\/147000). Round x to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*f = -3680, 3680 = 4*k - 0*f - f. Suppose 0 = -7*a + 6*a + 3*t + k, 4*t = 4*a - 3664. List the prime factors of a.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.055 + 0.054927. Round y to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:16 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 925689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 6063.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -34, -35, -20, 17, 82?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174.7557 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from qoqissxqqsdo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116802)\/(-125145))\/((-35)\/(-3))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(891)) + sqrt(891) - (sqrt(891) + (sqrt(891) - sqrt(891)*1))*-1 - (2*sqrt(891) + 1 - sqrt(891))*5)**2.\nAnswer: -360*sqrt(11) + 3664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 736022 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79015*s**2 - 28588*s**2 + 6386*s**2 - 16821*s**2.\nAnswer: -118038*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2924, 11533, 25824, 45797, 71452, 102789?\nAnswer: 139808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -221, -345, -467, -587, -705?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from mmmpmmmmpvmmmvvvmpmm?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -462, -466, -482, -516, -574?\n\"Answer: -c**3 + 3*c - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 45. What is the remainder when 503 is divided by n(-9)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/112*(-11 + (-456)\/(-40))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -809932 (base 13) to base 16\nAnswer: -2da63f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*r**2*s**5 - r**2*s - r**2 - 29*r*s**6 - 194*r*s - 2*s**2 wrt s?\nAnswer: 900*r**2*s**2 - 3480*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 325 + -320. What is the tens digit of (-6)\/(t + 754\/(-150))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 = 143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0214 * -1.31\nAnswer: 0.028034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 4 (c) -3 (d) -4735 (e) 20\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321894365?\nAnswer: 5, 13, 433, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - u + 1. Let z = -17 - -14. Let x(m) = -5*m**2 + 3*m - 2. Determine z*r(t) - x(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/37)\/(p**(-3)\/p))**(2\/23) assuming p is positive.\nAnswer: p**(300\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 6 = 6*w. Suppose 12 - 46 = -w*k. What is the second derivative of -3*z - 13*z - 13*z + k*z**3 + 8*z wrt z?\nAnswer: 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x + 0*x - 2*x)*(3*x + 0*x - x + (-x - x + 3*x)*(-4 + 1 + 5) + 3*x - x - 3*x + x + 0*x - 2*x + 3 - 3 - 3*x).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.649 + 0.251. Let q = 0.24 - 2.14. Let a = q + x. Put 1\/3, a, -0.2 in ascending order.\nAnswer: -0.2, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l + 45 = -80*l. Calculate the remainder when 25 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679 - 683 = -c, -8*u - 5*c - 20 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -197*n + 1. Let w be g(1). Let l = 828 - 495. Let y = l + w. What are the prime factors of y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/6 - 37*a**2\/6 + 145*a\/2 - 525\/2 = 0. What is a?\nAnswer: 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*l + 250 = -8*l + 33*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 0.18.\nAnswer: -4.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o\/(o\/(o*o**(-3\/7)))*o)\/o)*o*o**(-4\/3))\/((o\/o**(-4))\/(o**(2\/3)\/o)) assuming o is positive.\nAnswer: o**(-131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - x + 17 = 0, 4*q - 2*x - 1 - 5 = 0. Suppose -q*z - 76 = -2*g, 1 + 3 = 2*g. Which is the closest to -0.1? (a) -5 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30531125\/1078 - -28322. Calculate the common denominator of l and 103\/110.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5) + (-5 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.11 (b) 2\/3 (c) -305 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1178294050 by -235658810.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485, 483, 469, 437, 381?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g - 4. Let h(t) = -2. Let f(j) = -6*h(j) + 2*p(j). Is 18 a factor of f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*t + 20960 - 6247 = 1528 + 6421 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0 - 4. Let n(r) = 2 + 1 - 3 + p + 4*r. What is n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67742*a*d**4 - 2*a - 2*d**4 + 3*d**3 - 221718*d**2 wrt d?\nAnswer: 1625808*a*d - 48*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfcxhfjhfhj. Give prob of picking 2 h.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 10887.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*l - 36*l - 22*l - 43*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -69*r**2 + 5*r - 5. Suppose 5*a + 11*z - 10*z + 560 = 0, -112 = a + 2*z. Let v(k) = 1552*k**2 - 112*k + 112. Calculate a*h(p) - 5*v(p).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 0.2 (c) 2\/237 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/150 + 10*i**2. Determine b so that n(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 16*z**2 + 42*z + 405. What is the least common multiple of p(-18) and 243?\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 49013\/925?\nAnswer: 49013\/925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 394515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -497, 2, 1, 4\/9, 0.02, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55855571 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 19 = 3*x, 3*x - 24 = 2*w - 19. Suppose -2*o - 4*t = -7*t + 31, 0 = x*t - 9. Let n(j) = j**2 + 11*j - 1. Give n(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(64\/16 + 19*21\/(-98)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3276455 and 910.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2. Let b(g) be the first derivative of 5\/2*g**2 + 0*g - 4. Calculate w(b(u)).\nAnswer: -75*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 3, n: 2, h: 4, r: 5, i: 5}. Give prob of picking 2 n.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (127 + 1 - 2) + (143 - 21) + -127?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + y**2 + 2*y - 1. Let m(u) = -15*u**3 + 20*u**2 + 12*u - 9. What is -m(z) + 6*q(z)?\nAnswer: 21*z**3 - 14*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 5*q**2 + 6. Let n be h(5). Suppose -3*b - 7 = -4*c, -n = c + 2*c. What is the nearest to 2\/3 in 2\/3, -0.2, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -235\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -52*b**5 + 112*b**4 + 140*b**3 - 232*b**2 - 176*b + 32 = 0.\nAnswer: -1, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 8*a**2 - a + 17. Let z = -320 + 328. Determine t(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4\/5*d**3 - 14\/5*d - 1 + 23\/5*d**2 = 0.\nAnswer: -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/47)*k)\/k**(-4\/5))**(2\/39) assuming k is positive.\nAnswer: k**(1336\/9165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31943, -63637, -95331, -127025, -158719?\nAnswer: -190413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68098143.09100618 - -68097387.091. Let w = h + 756. Round w to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4\/3 - 135*l**3 - 4390*l**2\/3 - 4800*l - 14560\/3 = 0.\nAnswer: -4, -2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 2*c - 1 + 0*c**2 + 1\/3*c**3. Let o = 2 - 2. Determine a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*((k\/(k*k*k**(-8)*k))\/k)\/k)\/k*k**(-2\/3)*k**(1\/12)*k\/(k**(-2\/9)*k))**(-16) assuming k is positive.\nAnswer: k**(-812\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5260*q + 568087. Calculate g(-108).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - 3*u**2 + 99*u**3 - 38*u + 36 - 2*u**2 + 36*u + 4*u**2 - 3*u**4 to the form n*u**4 + i + x*u + c*u**3 + a*u**2 and give c.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 665*m + 229*m + 8*m + 366*m to the form w*m + y and give w.\nAnswer: 1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 2*v - 1. Let t(s) = 29*s**2 + 18*s - 7. Determine 8*k(u) - t(u).\nAnswer: -5*u**2 - 34*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, c: 2, i: 3, p: 1, h: 1}. Give prob of picking 1 c and 1 v.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 11:01 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 + (2 - 232\/32) and -51\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1560 - -1562. Solve -n + 2*n - 1 = 0, 13 = 3*a - j*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*s + 2583*s - 67790 - 180160 for s.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*s**3 - s + 3*s**2 - 3*s**2 - s**3 in the form v + r*s**3 + m*s + u*s**2 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9781*s + y + 8 = 9791*s - 53, -2*y - 77 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8187934 centuries?\nAnswer: 81.87934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(5\/(35\/(-2)))*214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4616.87 + -2399.4844.\nAnswer: -7016.3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 + (-21)\/(-12). Suppose 0 = o - u*o + 3. Suppose 36 = 4*r + s, -4*r - r - 5*s + 45 = 0. Calculate the remainder when r is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -850*w**2 + 275*w + 1100. Let a(d) = 37*d**2 - 12*d - 48. Let z(f) = -275*a(f) - 12*h(f). Let v(g) = -3*g**2. Calculate v(z(b)).\nAnswer: -1875*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 13*d**2\/2 + 3*d - 53. Let c(p) = 11*p + 2. Let g(s) = 4*c(s) - 3*f(s). What is g(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, -2, 0.04?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((3 - -1) + (-6 - -7) - -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -8. Let d = -5 + b. Let g = -2\/47 + 55\/188. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 + -4.36. Which is the third smallest value? (a) 0.5 (b) 8 (c) h (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*j = 15, 0 = -139*c + 136*c + 4*j - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4887368*a**2*g**2 + 1326685*g**2 with respect to a.\nAnswer: 9774736*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mujymqmmum. Give prob of sequence muyj.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3928 and -81\/1156256?\nAnswer: 567721696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.4. Let q = -19.04 + 20. Let u = p + q. What is u rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*2*(-5)\/20. Which is smaller: 2\/147 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -526 + 784. Is 43 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (27 + -35).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 5\/((-25)\/15). Let p = k - -1. Suppose -2*c = -3*a - 116, p*a - 117 = -5*c + 148. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/35)\/(1\/(-14))*(-48)\/1368*-19\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 6664 + 4116 = 0. Suppose 32*t - 3690 = i. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212134 (base 6) in base 13?\nAnswer: -7b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 + 70*i + 16. What are the prime factors of p(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(99\/(-5)))\/((-150)\/(-180))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((54\/(-225))\/3)\/((-12)\/(-15))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -5. Let w be -1 + -1 - (n + -3). Suppose 3*i = -4*s + 2*s, w = s. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 13198 = 0. Let i = -227 + n. Let o = -14172 + i. What is o rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*n - 3)*(-80*n + 0 - 2 + 82*n) + 3*n + 2*n**2 - 3*n.\nAnswer: -4*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = -5. Let h = -10 + 11. What is the remainder when -1 - (h - (10 - 1)) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 - 2*g - 2 + 1 + g**3 - 11*g**2 + 6. What is f(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349112191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 7*s**2 + 8. Let b(g) = -g**3 + 3*g**2 - 4. Determine 5*b(k) + 2*j(k).\nAnswer: -k**3 + k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.3 minus -0.03?\nAnswer: 675.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 100*p - 1986. Let u be r(-17). Solve -4*f - 2*m = 10, u*f + 5*m = 2*f + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 21 + 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249 + -209. Solve 0 = -4*d - 5*y + b, 30*d - 29*d = -2*y + 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17173078123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3*z - 3*z)*(1 + 1 + 0)*(-2 - 2 + 6)*(-369121*z + 369121*z - 1237*z**2).\nAnswer: -9896*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 60068, 60245, 60496, 60857, 61364, 62053?\n\"Answer: 6*d**3 + d**2 + 132*d + 59929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**3 - 2*h**3 + 3*h**3)*(21 + 34 + 328)*(-2 - 6 + 1)*(3 + 1 - 3) to the form v*h**3 + g*h**2 + u*h + l and give v.\nAnswer: -5362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -698, 1 in decreasing order.\nAnswer: 5, 1, -4, -698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*g. Suppose -g*z + c = 488 - 1328, -3*z + 1260 = c. Let a = z + -293. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 15*s**2 + s + 6. What is d(15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -200216 in -5, 3, -0.2, -1\/7, -0.3, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 6115*y**2 + 365390*y + 755200.\nAnswer: -5*(y - 59)*(y + 2)*(y + 1280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(76)\/sqrt(4) + 5)*2.\nAnswer: 10 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*w - 31 - 17 - 50. Solve 0 = -w*j - 2*m, -9*m = -10*m + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + l + 1. Let t(b) = 8*b**3 - 5*b - 5. Suppose 3*r - 2 = 7. Let f be (-3 - (-12)\/9)*r. What is f*c(q) - t(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011121 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 163 = -178 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 32103 = -14*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.2. Which is the closest to 1\/2? (a) -2\/9 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 5*w + 9. Let x be o(-6). Suppose -2*i - 193 = -x*i. Suppose 61 - i = -3*h. Calculate the remainder when h is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6949 + -1411131454.\nAnswer: -1411138403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 202505415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 253 + -261. What is the smallest value in 0, -2\/5, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 28 = 8. Let g be 3 + 0 - 1\/1. Solve 2*p = s + 9, -s = g*s - p + a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5 - 3. What are the prime factors of 4\/(h - (-51)\/(-13))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -697, -692, -675, -640, -581, -492, -367, -200?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 25 = 4*k, 14 = 4*d + 2*k - 6. Solve -d = 4*m + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602812 is divided by 150700?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91428 + 130\/(14 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*n = -229*n - 50 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awaqo. What is prob of sequence wq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > -37591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/175*10)\/(24\/(-420))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147119066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267130.\nAnswer: 2, 5, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001011010001 + 0?\nAnswer: -110100001011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 640 - 80. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1)*-2)\/((-102)\/(-153)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001011010010001010 + 1100001010?\nAnswer: -100001011000110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -25*g**4\/4 + 1085*g**3\/3 - 740*g**2 + 420*g - 1208. Solve d(m) = 0 for m.\nAnswer: 2\/5, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, n: 1, u: 2, i: 1, a: 1}. What is prob of picking 2 u and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, u: 1, n: 3, r: 6, a: 4}. Give prob of picking 1 n, 2 v, and 1 u.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.15 (b) 1562 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4695566 millilitres to litres.\nAnswer: 0.0004695566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 7) to base 16\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -121?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -487 (b) 0.4 (c) 0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625300 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 258 in 4, -0.2, 2\/23, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -d - 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**6\/120 + a**5\/20 - 2*a**3\/3 - 5*a**2\/2 - 1. Let b(i) be the second derivative of q(i). Solve b(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 3\/2, 4\/9, 0.02, 6\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Let n be p + 1 + (3 - 4). Let x(w) = w - 2*w + n*w. Let l(m) = m**2. Calculate l(x(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 415 - 405. Suppose -39 = -4*p + 1. Calculate the smallest common multiple of d and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4176005?\nAnswer: 5, 37, 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.3220151 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, -2256, -3 in descending order.\nAnswer: 5, -3, -9, -2256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 93709494*a + 731789105478003.\nAnswer: 3*(a + 15618249)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*u + 4*g, -4*u + 0*g + 41 = g. Let t be -1 + (-20)\/(-28) - 47\/7. Let d(m) = -4*m - 24. What is the lowest common multiple of d(t) and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k + 144 = -19*k + 13*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 + 8*j - 5. Let g(s) = 4*s**2 - 6*s + 5. Let n(f) = -3*c(f) - 4*g(f). Let b(z) = -z**2 - 6. Calculate -3*b(o) + 4*n(o).\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 3*q - 7*q - 1 + 1 + 2*q + (6 - 4 + 0)*(6*q - 2*q - 2*q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4*i**2 + i - 10 + 15 + 2*i**3 + i**4 to b*i + c + f*i**2 + d*i**4 + o*i**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6060 = -184302*j + 184362*j for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3068\/77 - -284\/7. Let d = -27\/22 + p. Suppose 3*n = 4*n + 1. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -939444 by -6.\nAnswer: 156574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -46 + (5 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188281 is divided by 11735?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (9 - 16) - 0) + (-1 - -13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n**2 + 5*n. Let d(h) be the second derivative of 13*h**3\/3 - 870*h. Give v(d(j)).\nAnswer: -4732*j**2 + 130*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 4*i - 11. Determine b(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 - -1) - 0. Suppose 2*j - 1 = 5. What is the smallest common multiple of 1 + z\/(-1) + 8 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-8 - (-3 - -1)) + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 3*i**2 - i - 1. Let c be g(2). Let m = 1 - c. Sort 4, m, -1.\nAnswer: -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 - -362. Does 15 divide 8\/(12 - -4) + y\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 8*x**2. Let p be o(8). Solve 4 = -a - p*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (-2)\/(-1))\/1. Suppose -12 = -4*o - i*p + 3*p, -2*o - 5*p = -6. What is the derivative of -4*j - 35*j**o + 17 + 39*j**3 + 4*j wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**3\/2 + c**2 + 22*c. What is l(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27084 divided by 366?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/148256 and -1\/96.\nAnswer: 444768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 10) to base 15\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 16 = 6. Suppose b = -2*q - l*q - 16, -b + 20 = -5*q. Find the common denominator of b and 5\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126191 times -0.7\nAnswer: 88333.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 835 = 10*h - 15*h, g + 5 = 0. Is 83 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -227, -1018, -2343, -4208, -6619, -9582?\n\"Answer: -l**3 - 261*l**2 - l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (-9 + 0 + 15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 3*l + l + 48*l**2 - 2*l**2.\nAnswer: 46*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/20 and 25\/78462.\nAnswer: 784620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 406400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38370 by 6.\nAnswer: 6395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1045*g + 1005. Is 17 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 193 and 4.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3306874 and 114?\nAnswer: 9920622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 699606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + 1*sqrt(144))\/(-1*sqrt(24)\/sqrt(3)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57.4616 + 0.5384. What is the closest to -1 in -4, 4, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 22*v + 7. Let y be n(-11). Suppose -y*k - 306 = 142. Let c = k + 63. Which is bigger: c or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 2, g: 1, i: 3, x: 4}. What is prob of sequence gi?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73979.33 grams to micrograms.\nAnswer: 73979330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*d - 4005 = 7*d + 24*d. Which is the second smallest value? (a) d (b) -15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1781 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 349338 by 67.\nAnswer: 5214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/2664 and 113\/96.\nAnswer: 10656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -70855 divided by 6?\nAnswer: -70855\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r - 3*p - 3, -5*p + 28 = -3*r. Let n be (1\/1 + r)\/(-2). Suppose n = 5*v - 25, -5*g + 10*g - 2*v - 415 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**2 - 3. Let n(r) = r**2 - 4. Let j(s) = -105*s**2 - 7 + 109*s**2 - 5. Let u(w) = 6*j(w) - 17*n(w). What is -4*i(f) + 3*u(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 63\/(8 - 1). Solve 0 = -d*r + r - 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 5*a**2 + 228*a + 53. Let f be u(-18). Calculate the greatest common factor of 506 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98330.95 milligrams in nanograms?\nAnswer: 98330950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 4*l + 4. Let k be (-19 - 1)\/(-1 - 0). Let i = -16 + k. Let n(h) = 2*h**2 + 3 + 0*h + 0*h - 3*h. Determine i*n(y) - 3*a(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 357859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose -p - 2*a + 6 = 0, -r*p - 5*a = -p - 15. Solve p*k - 16 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 11) to base 12\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - c + 3 - 822*c**2 - 280*c**2.\nAnswer: -1102*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 20*a - 9. Let z be x(-8). Let t = 96 - z. What are the prime factors of 4\/(-18) - (512\/t)\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24 - 3) + (-8)\/(-4) + 2. Calculate the greatest common factor of g and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) -2249 (c) -2\/5 (d) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*y + 75, i + 71 - 26 = 3*y. Solve -g + y = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -3.171308829984?\nAnswer: -2.771308829984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 11*u**5\/120 - u**4\/12 + 199*u**3\/6 - 65*u**2. Let m(i) be the first derivative of k(i). Let f(v) = 4*v. Calculate m(f(a)).\nAnswer: 44*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7582632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m**2 - 5*m + 9. Suppose h + 5*l + 10 = -4*h, l + 1 = 0. Let y(j) = -j**2 - j + 1. Let r(i) = h*x(i) + 6*y(i). What is the tens digit of r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1, 2, 22.\nAnswer: -2, 1, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8174513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) -92 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -46. Let h be -5 + 5 - f\/(-3). Solve 4 = -2*u - h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 2*o**3 + o**3 + 5)*(4*o**2 + 0*o**2 - o**2) + (-o - 3*o + 2*o)*(-o**4 + o**4 + o**4).\nAnswer: -8*o**5 + 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*l - 37, 3*l = -430*x + 435*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1738, 9, 10 in ascending order.\nAnswer: -5, 9, 10, 1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34512143 (base 6) in base 7?\nAnswer: 12033042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 3, -235, 42 in decreasing order.\nAnswer: 42, 3, 2, -2, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1628672, -1628673, -1628680, -1628699, -1628736, -1628797, -1628888?\n\"Answer: -w**3 + 3*w**2 - 3*w - 1628671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2077 and 8576?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/228222 and 121\/18?\nAnswer: 228222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 571 - 570.99999623. What is d rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254238810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 + 7*f + 24. Let u be y(4). Put u, 0, -9, -3 in descending order.\nAnswer: u, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, m: 4, q: 4}. Give prob of sequence xxmq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.7152l in millilitres?\nAnswer: 670715.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6 + 36 = 0. Calculate the remainder when 22 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -524.0221 + 524. Round t to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*t**3*z**2 - 2*t**3*z - 2*t**2*z + 37*t*z + z**2 wrt z?\nAnswer: -24*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 7.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 25402*d + 203260. Let i be o(-8). Let l = -1132 + 1726. What is the greatest common factor of i and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66304 by -16.\nAnswer: -4144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503137 = -59*o + 1677857. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**5 + 101940*i**4 + 520402560*i**3 + 8296700720*i**2 - 18675827280*i = 0. What is i?\nAnswer: -10186, -18, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y - 13. Let d be (-2)\/10 - (-42)\/(-15). What is the remainder when t(d) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9623 - 1987 = -423*v - 738*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 2 + 0 - 3 + 0. Let d(l) = 48*l - l**2 - 21*l - 14*l + 11. Let s(h) = -22*b(h) - 2*d(h). Find the second derivative of s(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i - 1. Let t(v) = 2*v**3 - 27 - 36 + 68 + 5*v. Calculate 5*h(b) + t(b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d - 10 = 0. Let k = d + 7. Let c be (k\/(-9))\/(1\/6). Solve 0*j + c = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11230824 divided by -53736?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -367.69 - -368. Let u = c + -0.31818. What is u rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2 - (1 + 0). Let u = 321.3 - 13.3. Let m = 306 - u. Which is the biggest value? (a) i (b) -2\/13 (c) 0 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 752.99 to the nearest ten.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1284\/3927 - (-142)\/5467.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51)\/(-2)*(-46)\/69. Let x be (15\/24)\/((-15)\/20). Which is the closest to -1? (a) -1 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 868, 903, 948, 1009, 1092, 1203, 1348, 1533?\nAnswer: 1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 319160*x**2 - 9243473.\nAnswer: 638320*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*p**2 - 130*p**2 + 427*p**2 + 201*p**2 to the form x + v*p + a*p**2 and give a.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (19 + -16)) + 19 - (3 - (0 - -36))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*q - 9, -4*v - 29*q + 3 = -28*q. Solve -f - 18 = 3*a, -9*f + 4*f = v*a - 1 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 11*g**2 + 17*g + 12. Let j(z) = 14*z - 4. Let q be j(1). What is the tens digit of s(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147518+4\nAnswer: 147522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3031617 is divided by 6316.\nAnswer: 6253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2380)\/74120*4\/7.\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -3\/4, -1\/2, 3\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14014 <= -12699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 10*u = v - 15, 0 = v - 5*u + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 93.\nAnswer: 93.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**2 - 39*g + 39*g. Let s(w) = -w**2 + 3*w**2 - w**2 + w**2. Calculate c(s(k)).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 29060234.6 to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28570921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 560\/(-46) + (7 - -5). What is the closest to -2 in 0, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.882 - -0.118. Let o = 7.6 - g. Suppose -48 = -2*p - 2*k - 2*k, -5*k = -3*p + 17. What is the biggest value in 1, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -553288018*h**4 - 3*h**2 - 4005*h + 8572.\nAnswer: -13278912432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**3 + 16*d**2 + 10*d - 1. Let l(b) = -8*b**3 + 46*b**2 + 29*b - 4. Let t = -26 + 37. Let n(y) = t*k(y) - 4*l(y). Let z = -5 + -2. Give n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)*h*h**(-3)\/h*h*h*h*(h\/h**(-1))\/h**(1\/11))**(4\/11) assuming h is positive.\nAnswer: h**(332\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43520 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 7314 (base 12) in base 6?\nAnswer: 134024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 214.8 - 215. What is the smallest value in a, 203, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f + 6. Let w(d) = 1 - d - 5 - 3 - 5*d. Let x(v) = 7*k(v) + 6*w(v). Let j(c) = -3*c**2. What is x(j(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + h + 17, 2*h - 7 = o + 7*h. Suppose -o*x + 15 = 2*x. Let 1\/4*f + f**2 + 1\/2*f**x + 0 - 3\/4*f**5 - f**4 = 0. What is f?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*l + 25*l + 3*l**2 + 5 - 12*l + (l - 2*l + 2*l)*(-l + l - l).\nAnswer: 2*l**2 - 3*l + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 176? (a) 143 (b) -2\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 2. Let c = -0.5 + l. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24414 and 1248?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-18) - 7412\/(-153). Let t be (-69)\/(-2) + p\/32. What is the highest common divisor of t and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msm when three letters picked without replacement from {s: 2, m: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 48*p**2 - 119*p - 59. Let o be f(44). Suppose -3*b = -4*n - o - 1596, 5*n = 25. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 31813882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 39*s - 27. Determine k(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 0.08 (c) -2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, q: 4, t: 4}. What is prob of sequence tt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.53980786 + 216.16142314. Let h = 217.7 - v. What is h rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 355382.20271.\nAnswer: -355381.80271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let s be 16\/1 - (28 - 35). Find the second derivative of 5*g**2 - 3*g**d - 15*g**3 + 26*g**3 - 5*g**2 + s*g wrt g.\nAnswer: -36*g**2 + 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**4\/2 - 215*l**3 + 9245*l**2\/2 = 0.\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*8\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-3)\/(2 + 25)). Suppose 0 = f + 2*f - c. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5 - 2224*s**4 + 2214*s**3 + 19996*s**2 + 24449*s + 8892 = 0. Calculate s.\nAnswer: -1, 4, 2223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (500\/7)\/((-20)\/(-70)). What is the smallest value in 1\/5, 2\/21, n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and 4591722736.48.\nAnswer: 4591722750.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4417920 and 11760.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - u + 5 + 1)*(-9*u**2 + 8 + 5 + 12*u**2).\nAnswer: -3*u**3 + 24*u**2 - 13*u + 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 410 (base 11) to base 4\nAnswer: 13233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 2*u + 5. Let r be (-2)\/3 - 1\/3. Let j(t) = 4*t**3 - t**2 - t. Let z be j(r). What is a(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*a + 99 + 5. List the prime factors of a + 9688\/20 - 8\/20.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-3591)*-6)\/((18\/42)\/1)\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + -862121444.2\nAnswer: -862121444.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12961\/30 - 432. Let f(i) be the third derivative of -5*i**2 + x*i**5 + 0 + 0*i**4 + 0*i**3 + 0*i. Let l(z) = -3*z**2. Determine l(f(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 2.02, -34\/9?\nAnswer: 2.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 693648 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)*k)**46\/(k\/(k**0*k))**(2\/95))\/((k**0\/k)**(-39)*k**(-2\/9)*k\/k**3) assuming k is positive.\nAnswer: k**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 22 = -634. Suppose -5*n = -2*u - 783, 0*u - u + i = 2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 4*h**2 - 3*h + 3. Let z(i) = -2*i**2 + 66*i - 59. Let p be z(32). Suppose p*f - 202 = -182. Calculate v(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 2*g. Let y be 198\/8 + (-2)\/(-8). Suppose -o - y = 4*o, 2*i = -4*o - 4. Solve g = 4*z - i - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*a + 1755878 = 1774078 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccmcccmmcc. What is prob of picking 3 c and 1 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirrprdhdii. What is prob of sequence hr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 4*z - 5. What is g(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9391 is divided by 390.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 10*a + 3. Let o be p(-8). Let t = -31 - -20. Let k = t + o. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3.9. Round l to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g\/g**(-2\/109)*g))\/(g\/(g*g\/(g**(-19)*g)*g)))**(-2\/41))**(-11) assuming g is positive.\nAnswer: g**(40722\/4469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 4)*(-2*l**3 + l**3 - l**3) - 6*l**3 + l**3 + 2*l**3.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -6fbef1?\nAnswer: 6fbee9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2729585 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 709\/36017 + 330581861\/290008884. Let o = 1\/2013 - w. Let s = 595737\/44 - 13537. What is the common denominator of s and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + s**3 - s**3)*(-4 + 1 + 3*s + 2)*(-5*s + 2*s + 0*s).\nAnswer: 9*s**5 - 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((0 + sqrt(252))*1 + 6*sqrt(252)*-1 + sqrt(252) + 0 + (sqrt(252)*-1 - sqrt(252)) + -5 + -1))**2.\nAnswer: 10800*sqrt(7) + 227700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1100) + 0) - (sqrt(396)*2*6)**2.\nAnswer: -57024 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = -2*k, 5*r + 0*k - 3 = 3*k. Let v(l) = -l**2 + 2*l + 2. Calculate the least common multiple of (-1 - 1)\/((-3)\/15) and v(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/855 - (5778\/342 - 17).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + t, 5*v - 25*t = -26*t - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9375, -37559, -84531, -150291, -234839?\nAnswer: -338175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:18 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:35 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 33.988. Let x = y - -0.288. Put 5, x, 10 in decreasing order.\nAnswer: 10, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275734827*d*p**2 + 3565*d*p - 177*d + 17*p - 2 wrt p.\nAnswer: -551469654*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*t**3 + 4\/3*t**2 - 2*t + 0.\nAnswer: 2*t*(t - 1)*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -641 - c?\nAnswer: -64d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3660, 3665, 3682, 3717, 3776?\n\"Answer: m**3 - 2*m + 3661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Let x = 463 + -463.5. Which is the nearest to -2? (a) w (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/4 + 1\/(-1). Suppose 4*j - 23 + 15 = 0. Suppose 0 = j*u - s, -x + 6 - 1 = -u. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, o: 3}. What is prob of picking 2 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 36770*b**3 + 90147780*b**2 - 73710810270*b + 73620699255.\nAnswer: 5*(b - 2451)**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192143785?\nAnswer: 5, 7, 17, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**10\/1260 - z**6\/360 - 4*z**3\/3 + 4. Let n(a) be the third derivative of y(a). Find the third derivative of n(l) wrt l.\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5 - 540932*t**4 + 1622778*t**3 + 4868384*t**2 - 12441379*t + 6491148 = 0?\nAnswer: -3, 1, 4, 540929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(216)*5 - sqrt(216))\/(sqrt(648)*2*-6).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -37. Let q be 12\/(-45) + 1\/f. Let i = 6 - -1. Which is the biggest value? (a) -1\/4 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 3. Let s(q) = q. Suppose -4*u - 57 = -341. Suppose 4*t - 75 = -u. Determine t*d(g) - 6*s(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/378, -363, -4, 0.4, -2\/3, -1?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6916\/(-2660)*(10\/1)\/(2\/40*8).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112056 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475108 is divided by 1062?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3.2 (b) 5 (c) -2\/7 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52\/((-23)\/(-7) + -3). Is ((-6)\/3)\/((-4)\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1206)\/(-27))\/(10\/195). Let w = 1288 - n. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, r: 14, p: 1}. Give prob of sequence prrr.\nAnswer: 91\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -16*n**2. Let b(y) = 29112*y. What is b(x(k))?\nAnswer: -465792*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 18403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 4 (b) 1\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:44 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 37. Let c = 3 + -7\/2. What is the closest to -0.1 in 1\/3, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*p**3 - 312*p**2 wrt p.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 528\/(-792)*-2*(-21)\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29907 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 5. Let j be (-1)\/(1\/(-2 + 3)). Let d be (2\/(-3))\/((-2)\/j). Which is the nearest to y? (a) -1\/2 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*x**2)*(3*x**3 + 4*x**3 - 5*x**3) + (2*x**2 - 3*x + 3*x)*(-4*x**2 + 4*x**2 - 2*x**3) + 2*x**5 - x**5 - 3*x**5 - 35*x**5 - 61*x**5 + 74*x**5.\nAnswer: -36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2841*z - 8938*z - 3 - 11 + 15.\nAnswer: -11779*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -6*m + 358. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -521*s**2. Let n(l) = -78*l - 1. Calculate n(x(m)).\nAnswer: 40638*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - s**2 - 2*s + 2. Let l(m) = -m + 8. Let j be l(6). Calculate b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000753950178 rounded to 7 decimal places?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1304 - -1313. Let a(z) = -z**3 + 8*z**2 + 8*z. Calculate a(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 - 40416*t**4 - 24*t**3 + 323328*t**2 + 48*t - 646656 = 0. Calculate t.\nAnswer: -2, 2, 13472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5\/7, -13, -4.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -58.6 * -92333\nAnswer: 5410713.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)*(-8 - -1). Suppose 3*s - 32 = -5*z, -g*z + 26 = -3*z + 2*s. Calculate the smallest common multiple of (-1)\/(-2 + 42\/22) and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 11431?\nAnswer: 11433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -3*g**5\/5 + 5*g**2 + 13*g. What is the derivative of s(l) wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -661349, -1322698, -1984047, -2645396, -3306745?\nAnswer: -3968094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, -5, 440.\nAnswer: -5, -4, -1, 2, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1747.9 - -1883. What is x rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88608577.\nAnswer: 88608577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*m - 36 = 0. Let y = m + -8. Does y = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -887, -888, -889, -890, -891?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188824469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 6*l - 26 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/826126 and 6\/35.\nAnswer: 4130630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (3*(-2 + 2*sqrt(325)*2))**2*4.\nAnswer: -2880*sqrt(13) + 187347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -1\/3*f**3 + f + 0 + 0*f**2. Does 4 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245872 + 905092. Round g to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:04 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30122222 + -10?\nAnswer: 30122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40169, -39518, -38867, -38216, -37565?\nAnswer: -36914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-1620)*135\/54?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043956852 to the power of 1\/2, to the nearest integer?\nAnswer: 45210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (15 + -8 - 12 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from {w: 4, q: 4, i: 3, r: 1, t: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laayyanndlnyc. Give prob of picking 1 c, 1 y, 1 n, and 1 a.\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {e: 2, l: 11, b: 5, g: 2}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1462*m - 5837. Give y(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/14*(-2114)\/(-3624)*6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let b(p) = 2*p**2 + 5*p + 2. Let m(w) = w. Let j(i) = b(i) - 5*m(i). What is f(j(c))?\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (-5 - -3) - (3 + 2)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 58\/931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324 - -321133450?\nAnswer: 321133122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73909\/2 + 35191. Let j = d + 1808. Find the common denominator of 0 - (-1 + (-1)\/6) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(5) + -2))**2 - (sqrt(1125) + sqrt(5))**2) + 0.\nAnswer: -956 - 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/840 and -65\/77412.\nAnswer: 5418840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -197465*k**4 - 3*k - 2083744.\nAnswer: -789860*k**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178 + 16*h + 178 + (1 - 3 + 4)*(6*h - 2*h - 3*h))*(35*h - 92*h + 44*h) + (4*h - h - 4*h)*(5*h - 4*h - 2*h) + 4*h**2 + 0*h**2 - 3*h**2.\nAnswer: -232*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(19) + 0 + -3)**2 - ((sqrt(19) - (sqrt(19)*2)**2) + 3).\nAnswer: 6*sqrt(19) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:08 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (180\/(-126))\/((-1)\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141.7 - -2.3. Which is smaller: y or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 81*l**2 + 385*l + 22. What is i(-35)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 871 = 2*c, -c - 242 = -d + 35. Solve 278*o = d*o + 42 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2 - 3881*s + 129162 = 0.\nAnswer: -3914, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 2, 0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r. Let s = 39 - 39. Suppose -5*o + h + 7 = s, o - 3*h + 4 = -h. Let j(b) = 76*b - 76*b + 5*b**2 - o*b**2. What is w(j(a))?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f + 8. Let g(k) = 1. Determine -24*g(d) + 3*l(d).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(16) - sqrt(16))\/sqrt(4))\/(sqrt(22)\/(sqrt(11) + sqrt(11)*-2)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4752126 and 0.09.\nAnswer: -427691.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 364\/21 + -2*2\/(-6). Solve -k*g = -g - 8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6741\/(-1092))\/(3\/2) and -37\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35020 equal to 35021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 3)*2 + (sqrt(700) + 4)*-3)**2 - (2*(sqrt(700) + (-4 + sqrt(700))**2) + sqrt(700) + sqrt(700) - -1*(sqrt(700) - (3 + sqrt(700)))**2).\nAnswer: -705 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756051316 to the power of 1\/2, to the nearest integer?\nAnswer: 52498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25205863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-15) + 3926\/390 - 12\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32105127?\nAnswer: 3, 67, 211, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**2)**(-2\/27)\/(g**(1\/5)\/g)**3)**(-19))**45 assuming g is positive.\nAnswer: g**(-2052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 68367?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13643 - -81857\/6. What is the fifth biggest value in -0.3, k, -1\/4, 0.182, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4313300 + -2?\nAnswer: -4313302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 121. What is the common denominator of -63\/184 and (7\/168)\/(i\/45)?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1259 (base 11) in base 10?\nAnswer: -1637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*q = -409. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.98 + 109. Let a = o - -1.38. What is a rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -407*z**2. Let q(c) = -c**2. What is o(q(s))?\nAnswer: -407*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from sjyjnyqysqhyjjnjsjq?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 40640785.\nAnswer: 40640786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**9\/3024 + c**6\/90 + c**3\/2 + c. Let w(g) be the second derivative of p(g). What is the third derivative of w(n) wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17756125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37296 and 75110.\nAnswer: 5407920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -825330266.79031 plus 0.4?\nAnswer: -825330266.39031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114456521.\nAnswer: 53, 2159557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203.5 - 1225.5. Let y = 1021.9999501 + p. What is y rounded to 6 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - 4*i**2 + 6*i**2 + 2*i**2 as j + a*i**2 + h*i and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 460086 and 1380254\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6982 at most 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 11*b**2 + 20. Let k be o(-11). What is the third smallest value in -2\/13, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 14634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let y(o) = -1. Let q(x) = -2*u(x) + 2*y(x). Let z be q(-2). What is v in -2*v + 2 + v - 2*v**2 + v**z = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -2\/7 (c) 0.2 (d) 88 (e) 1\/48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -60?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -16\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 49.7. Let f = 10036 + -10039.3. Let o = f + j. Sort 1, o, 5 in decreasing order.\nAnswer: 5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1990*o**2 - 227*o + 687. What are the prime factors of c(3)?\nAnswer: 2, 3, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/35)*z*z)\/(z*z**(-1\/8)\/z))**(-26\/5)\/((z**(-1\/3)\/((z**0*z)\/z))\/((z\/((z**0*z)\/z))\/z**7)) assuming z is positive.\nAnswer: z**(-35729\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-36)*(-3)\/2*64\/1504.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -796481 divided by 12.\nAnswer: -796481\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(4\/32). Suppose -y = -o*n + 7, -2*y = -3*n + 2*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/9503 and 139\/258.\nAnswer: 57018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4158 - 4157 = m, -2*m - 2*p = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/10 (c) -150119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -42, -47, -52, -57, -62?\n\"Answer: -5*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*y = -88*y + 1531622 + 3091906. List the prime factors of y.\nAnswer: 2, 3, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 19628\/(-2310) + 4\/30.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*v**2 - 48*v - 75.\nAnswer: 3*(v + 1)*(9*v - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14069 > 14069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 34875883 divided by 2\nAnswer: 34875883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 2*u + 2, 2*u - 7 = 3*s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 + 27. Let n = b + 40. Solve -m + l + n = 0, -4*l = 3*m - l - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 - 22523?\nAnswer: -22355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e5e8e + 0?\nAnswer: 1e5e8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9634 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 245843.23 and 1.8?\nAnswer: 245841.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9119367*p**3 - 4*p + 39496109?\nAnswer: 27358101*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6490708*c**4 - 7751019*c**2.\nAnswer: -155776992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose -5*x = 10, r + k*x - 14 - 9 = 0. Calculate the remainder when r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72.3 + 262.7. Let d = -335.0000062 + q. What is d rounded to seven dps?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712*k - 1394400 = 562*k. What is the thousands digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -329*t + 326*t + 13*q + 238, 5*t - 4*q = 61 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (685*l**2 - 207 + 392 - 181)*(-l**2 - l + l).\nAnswer: -685*l**4 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/((sqrt(24) - sqrt(24)*2) + sqrt(24) - sqrt(6)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(2\/5)\/u*u)*u))**48 assuming u is positive.\nAnswer: u**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 952 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 509 * -3318\nAnswer: -1688862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m = 166*m + 242*m - 11436 - 4544 for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*k - 2*k**2 + k**2 + 1 - 55*k - 23*k to v*k + t*k**2 + j and give v.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from uuxuxuxxxxuxeuxexx?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6009 + 32*q + 5906 + 0*q**2 + q**2. Let d be x(-35). Factor 0 - 6\/19*r**d + 4\/19*r + 2\/19*r**3.\nAnswer: 2*r*(r - 2)*(r - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 74997.15 tonnes?\nAnswer: 74997150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2831, -2842, -2861, -2888?\nAnswer: -2923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5825 is divided by 2247?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let o = 1.9772 - -0.0228. What is the closest to o in -3\/4, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r + 25 = -41*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*t**3 - 314*t**3 + 937*t**3 - 314*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**3 - u**3 + 4*u**3 + 2*u**3 + 0 + 0 + (0*u + 2*u - u)*(-2*u**2 + 3*u**2 + u**2) + 4*u**2 + 2*u**3 - 4*u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19817 - 14288 - 15842 + 2382 + 12772 - 6133)*(5*v**3 - 2*v**4 - 5*v**3).\nAnswer: 81852*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/9 - -2)\/(-155 + 72428\/456)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/516 and -8\/11464961.\nAnswer: 137579532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1007, -228, -1463?\n\"Answer: -1235*v + 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 2. Let l(g) = g + 3. Let t(v) = -5*j(v) + 4*l(v). Let k be t(0). Let d = 23 + k. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131064 divided by 43688.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/s*s*((s\/s**5)\/s)\/s)\/((s\/(s*s*(s**(2\/23)*s)\/s))\/s*s**(-2\/9))*((s**(2\/3)\/s)**26)**(-4\/3) assuming s is positive.\nAnswer: s**(3049\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 0.21. Is p < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2818931801 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 3. Let a be j(-5). Let n = -17 - a. What is the tens digit of (-6)\/(-8)*4 + n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - n - 1. Let i(y) = 4*y**3 - y - 4. Calculate i(c) - 4*m(c).\nAnswer: 8*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19.878708 months?\nAnswer: 0.001656559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8418*g - 24883. Give d(-3).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/2034 and 95\/1422.\nAnswer: 160686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 487393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -137?\nAnswer: -68.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/24 - 2*z**2 + 2*z. Let k(x) be the first derivative of n(x). Let s(d) = 7*d**2. Give k(s(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 5*k**2 - 4*k + 1. Determine g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 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: Simplify ((-4*2*sqrt(792) - sqrt(792) - sqrt(792)) + sqrt(792))\/(sqrt(99) - (sqrt(99) - -4*(sqrt(99) + sqrt(99)*-4))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17123.6878 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - m + 3*m + (3 - 5 + 3)*(-16*m - m - 13*m) + (0 + 1 - 2)*(0*m + m + m) + 0*m - 3*m + m to w + f*m and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 299 + -270. Suppose -4770 = -b*i + 14*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14742\/728 - (21 - 1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 23*r + 28 = 3*p, -r = -4*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3911 + 8256801?\nAnswer: 8252890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsssssszs. Give prob of sequence szss.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3890060, -3890097, -3890120, -3890123, -3890100, -3890045, -3889952?\nAnswer: -3889815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 + x. Let h be n(1). Let p = h - -2. Differentiate 5*t - 2*t - p*t + t**2 + 2 with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 24. Suppose 0 = 4*x - p - 25, -x = -6*x - 3*p + v. Solve 31 = 2*u - x*o, 0 = -4*u + 2*o + 3*o + 37 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -389579?\nAnswer: -5064527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*s + 18573 = 0, -5*v + 4*s = 3*s - 92837. List the prime factors of v.\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*d + 4*f = 88*d - 25, f = -2*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((1 - -7) + -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -27. Let k be 8\/6*(4 + -1). Suppose -f - 5 = -k*h. Solve -4 = 2*i + h*d, 5*d + 14 + 11 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/432*4*-3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49641*q**2 - 3*q + 24808896 wrt q?\nAnswer: -99282*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 37763*j + 50*j**4 - 37762*j + 14*j**4 + 1 + 2*j**3 to the form r*j**2 + k*j**4 + s*j + b + n*j**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -78, -98, -118, -138, -158?\n\"Answer: -20*l - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172150980?\nAnswer: 2, 3, 5, 113, 25391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = v - 27. Suppose -t + v*h = -10, -3 - 8 = -5*t + 2*h. Suppose a - 14 = 2*z, z + 5*a = -6 - t. Sort z, 1, -0.5, 0.2.\nAnswer: z, -0.5, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 - 3*j - 3. Suppose 4*d = -26*d + 1260. Calculate the remainder when d is divided by a(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 12480*m - 74874. Determine i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 4 - 4 - 1 + 3*q + q. Let s be j(-5). What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Suppose 2*v + 266*c + 5 = 265*c, -3*v + c = -10. Solve l*r + 2 + v = 3*q, -2*q = -5*r - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0*k + 0*k + k. Let m(v) = -2*v**2 + 3. Let t(l) = 4*l**2 - 7. Let w(p) = -7*m(p) - 3*t(p). What is z(w(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8537.49nm to kilometers.\nAnswer: 0.00000000853749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.336814 * -0.1.\nAnswer: -1.1336814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2214 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -117010*i - 125592*i + 92 + 18023*i - 33739*i. Let r be q(-6). Round r to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, -1, -7, 4, 244, -3 in descending order.\nAnswer: 244, 5, 4, -1, -3, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34444050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*b - 160, -5*b - 2*q = -3*q - 304. Let w be 36\/1098 - 2924\/(-122). Calculate the greatest common factor of b and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 133 and -2.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - 1\/(20\/(-1508)). Let f = 78 - l. Suppose -f*w = 2*w - 25, -4*o = -4*w + 20. Solve -4*g - 20 = o, -z + 0*z - 2*g - 7 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.9. Let i = -0.42 + 0.02. Let j(g) = g - 4. Let q be j(4). Which is the closest to q? (a) -0.3 (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*q**2 - 2860 + 1431 + 1429.\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -16, 17, 0.4, -378, -2, -7\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 539350924 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001010101111100 (base 2) to base 3.\nAnswer: 12021101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 1 - 2 + 2*t**2 - 3*t**4 - t as d*t**3 + b*t + z*t**2 + u + s*t**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Let q(o) = 2*o**2 - 2*o. Let z(n) = -11*n**2 + 12*n. Let j(t) = 6*q(t) + z(t). Let l(b) = 4*d(b) - 3*j(b). Let s(g) = 11*g**2. Give s(l(x)).\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w + 249232 = -37*w. Suppose 5*l = 3*u + 15795 - w, -15491 = -u + 5*l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - (-66)\/24. Suppose 3*x = 4*x - 2, -2*s + b*x = 0. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 87210648?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -76. Suppose -14 = -2*s - 4*p, 3*s + p - 17 = -6. Suppose -5*z - 28 = -4*x, -s = -x + 4*z - 7. Calculate the highest common divisor of x and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386*-0.21.\nAnswer: -81.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 3*s. Let j(v) = v**2 + v. Let n = -4 + -4. Let f(x) = -x**3 - 7*x**2 + 7*x - 5. Let k be f(n). Determine k*j(l) - i(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1 + 0*u**2 - 11*u + 2 + u**2. Does 3 divide p(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - (-8 - -5 - -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fimfffimfmfmf. What is prob of sequence mfi?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n - 31. Let i be d(8). Suppose -300 - 51 = -i*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2) + -2*sqrt(2) + 2) + 2 - (2*sqrt(216))\/(-3*sqrt(48)\/sqrt(4))) + -5.\nAnswer: -11 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 0*j**2 + 2*j**2)*(305*j - 745*j + 1937*j + 2670*j - 70*j).\nAnswer: -4097*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3742060\/87 - -43013. Calculate the common denominator of c and 1\/261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0735*-1.\nAnswer: 0.0735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 13 = -4*h, 22*h + 4*o = 18*h + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*o + 4*f - 4, 3*o - 5*f = 50. Solve -2 + o = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*((h**(-2)*h)\/h)\/h))\/(h*(h**(1\/23)*h)\/h)*(h\/(h\/h**(-2\/11)))\/(h*h\/h**(-1\/2)*h) assuming h is positive.\nAnswer: h**(-367\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*u**3 - 11*u**3 - 18*u**3)*(83*u - 6*u + 5*u)*(3 - 4 + 0) as l*u**4 + f + y*u**2 + k*u**3 + n*u and give l.\nAnswer: 2952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + -36. Let x = -137\/8 - -8. Calculate the common denominator of x and y\/(-52)*(-40)\/20.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 136*i**4 + 110950*i**3 - 3472898*i**2 + 658248*i + 50760 = 0.\nAnswer: -846, -1\/17, 1\/4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 40*x**2 + 2461*x - 8. Let o(n) = 26*n**2 + 1641*n - 5. Give 11*l(w) - 17*o(w).\nAnswer: -2*w**2 - 826*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 8 + 4. Suppose s*q - q + 446 = 3*v, v = 2*q + 147. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025473091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*y + 15. Let p = 260 + -257. What are the prime factors of y\/p - (-8)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*((-112)\/(-40) + -3). Let p be (f\/2)\/(5\/40). Which is smaller: p or 0.038?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 22 = -3*i - 0*z, -3*z + 10 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(171) + -1)*6*-1)**2.\nAnswer: -864*sqrt(19) + 24768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 1\/60*n**5 - 17 - 1\/2*n**2 + 1\/8*n**4 + 0*n + 2\/3*n**3. Let o(d) be the second derivative of u(d). Calculate o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 16*v**5\/5 + 13*v**4 + 20*v**3\/3 - 26*v**2 - 36*v - 2854. Suppose p(d) = 0. Calculate d.\nAnswer: -9\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 1. Let i(j) = 214*j - 23. Let s(f) = 5*b(f) - i(f). Is s(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4489 + 2*o - 8025 + 9*o - 14*o.\nAnswer: -3*o - 12514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (21 - (-2 + (11 - 0)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m*n*s**2 + 7*m*n + 5*m*s**4 - 3*m*s - m + 473*n*s**4 - s**4 - 3*s**2 wrt s.\nAnswer: 120*m*s + 11352*n*s - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 5, 1\/4, 1565?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 492347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4\/3. Let k = 2.16 - -1.84. Which is the second biggest value? (a) y (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44519917097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * -0.218\nAnswer: -0.1526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 6 - 2*l**2 - 1\/6*l**4 + 4\/3*l**3 + 0*l. Let y(f) be the second derivative of g(f). Find the first derivative of y(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -p + 3474, -1168 = -o - 68*p + 71*p. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 142666476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 + 4*q + 4. Let y be v(4). Suppose 3*c = -c - y. List the prime factors of 8\/(-1)*c - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427057, -854111, -1281165, -1708219, -2135273, -2562327?\nAnswer: -2989381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 7:51 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75665.\nAnswer: 5, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grrkmrhkrrrkh. Give prob of picking 2 r and 1 k.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(4 - 7 + 5 - q).\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**5\/30 - 2*g**4 - g**3\/6 - 3*g**2 - 2*g + 30. Let m(p) be the second derivative of d(p). What is the units digit of m(28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**5\/5 - 3*q**4\/4 + 8*q**3\/3 - q**2 + 34*q. What are the prime factors of j(5)?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55810615 is divided by 7972940?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1522, -3134, -4846, -6658, -8570, -10582, -12694?\n\"Answer: -50*j**2 - 1462*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178 (base 10) in base 4?\nAnswer: 301222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*u + 7*u - 10 = 0, 5*d - 18 = -4*u. Suppose 1 = 3*l + i - 14, -14 = -2*l - d*i. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 15. Let f be -2*((b - 2) + 2). Suppose 0 = f*q + 6, 11 - 60 = -4*m - q. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193978406 a multiple of 1453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(-3*h - 2*h + 7*h)*(5 - 9 - 6)*(-5 + 1 + 2) to the form y + r*h and give r.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -767 - 1828. Let x be g\/10*6\/(-9). Let b = x - 121. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -9. Solve -4 = -t*b + 6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from welll.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -2*a**2 + 0*a + 0*a**5 + 0 - 1\/24*a**4 + 1\/120*a**6 + 5\/6*a**3. Determine g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3292, -6431, -9386, -12157, -14744?\nAnswer: -17147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49921 is divided by 1350?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1829, -3660, -5491, -7322, -9153?\n\"Answer: -1831*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 84*b + 58. Let q be x(12). What is the highest common divisor of 26 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjq. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*j = 22, 3*s - 2*j - 30 = j. Let y be (4*s\/(-147))\/((-6)\/(-7)). Which is the closest to -1? (a) 0 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*k**5*l + 13634*k**3*l - 3529*k*l - 6*k + l - 2 wrt k?\nAnswer: 200*k**3*l + 81804*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6758086*c*x + 4081572*c wrt x.\nAnswer: -6758086*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 798188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoooeeeeeeeeee. What is prob of sequence oo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -6. Suppose -2*z - 5*g = -7*z + 15, -h = -2*z - 5*g. Let k = 19 - -5. Calculate the greatest common divisor of z and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 77\/4 + (-1)\/4. Suppose 0*j + 2*j - 59 = -1. Let q = j + v. Calculate the highest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 1*(-1)\/1. Let a(u) = u. Let y be a(v). Suppose -w = y*w. Which is greater: w or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*w + 27*w - 760 = -37*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142149420289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1771 = 12*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + 6*k)*(-4 - k + 4) + (0 + 3 + 2)*(-6*k**2 + k**2 + 3*k**2) - 6*k**2 - 2*k**2 + k**2.\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0728 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 5, i: 4, u: 3}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2112 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.379 and -0.017.\nAnswer: -0.227443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2573 + 2579. Let l = -90 - -62. Let i be 188\/l + z\/(-21) + 3. Sort 0, -1\/3, i in ascending order.\nAnswer: i, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042025.\nAnswer: 3, 5, 19, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l**2 - 3*l - 3. Let x be z(2). Solve j - 2*j + 13 = x*y, 4*y + 4 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5096*p - 1554*p + 1190*p - p**2 + 1614*p.\nAnswer: -p**2 + 6346*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1140)\/280 + (114\/12 - 6)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 48, 8\/25, -2 in descending order.\nAnswer: 48, 8\/25, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 42 = 3*b, -544*v + b + 14 = -542*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + r + 211. Suppose 5*o + 4*y = -12, y + 3 = -4*o + 7*o. What is the tens digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 0.0226?\nAnswer: -0.4226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*o**2 - 12 + 119*o**2 - 2*o**3.\nAnswer: -2*o**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-45)*(135\/36 - 3). Let k be (2\/(-10))\/(0 - 1). Which is the fourth smallest value? (a) -0.1 (b) 0.4 (c) k (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 780.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Suppose u*r + 0 = 12. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3455517200 to the nearest 1000000.\nAnswer: 3456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 2*u + 5968. List the prime factors of y(0).\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - 4 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*q + 10 - 10.\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, -74\/19, 5 in descending order.\nAnswer: 5, 0.2, -0.5, -74\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1362978992 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 10*t**5 + 724*t**4 - 2722*t**3 + 1076*t**2 + 912*t = 0.\nAnswer: -76, -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 117*t - 1. Let i be w(1). Let v = -24\/23 + 587\/276. Find the common denominator of v and i\/18*60\/(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -377, -1471, -3989, -8645, -16153, -27227, -42581?\n\"Answer: -119*x**3 + 2*x**2 - 267*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/98878795 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4814.1 - -4816.1. Put l, 0.08, -0.021, -0.5 in decreasing order.\nAnswer: l, 0.08, -0.021, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*u + 13, -2*n - 5*u + 21523 = 0. List the prime factors of n.\nAnswer: 7, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -5, 0, 0.5, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l + 40 = 4*d, -4*l - 30 = -3*d. Suppose -d = 2*r, 0 = -0*s - 5*s - 2*r - 10. Solve 5*u + 3 + 2 = s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eokoooerrd. What is prob of picking 1 k and 2 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 16 = 2*o, 9*n + 24 = 2*o - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/2 + 70*n**2 + 425*n\/2 - 4335.\nAnswer: 5*(n - 6)*(n + 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - f**2 - 6*f - 4. Let m(s) = -s**3 + s + 1. Let b(v) = g(v) + 4*m(v). What is the units digit of b(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssklsslsmslsksksssk. What is prob of picking 1 s and 1 k?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10 + 8\/32)\/(1\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2344, 9385, 21134, 37603, 58804, 84749, 115450?\n\"Answer: 2*o**3 + 2342*o**2 + o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2830\/21, -75, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7276*v**2 + 2*v - 5790 wrt v.\nAnswer: -14552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 86.60595 weeks?\nAnswer: 14549.7996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/8))\/g*g**5)\/(((g\/(g*g**4))\/g*g)\/g**(-4\/3)))\/(g**(-1)\/g**2*(g*g**(5\/4))\/(g**2*g)) assuming g is positive.\nAnswer: g**(271\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 46. Let q be v(36). What is the hundreds digit of q\/2 - (14 - 116)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-7.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + c - 3, -3*k + 2*k - 4*c + 19 = 0. Let p(l) be the third derivative of -l**6\/8 - l**5\/60 + l**3\/6 - 25*l**2. What is the tens digit of p(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -2*k + b, 5*k - b + 15 = 0. What is the fourth smallest value in 2\/7, 4, k, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2. Let d(l) = -34*l. Determine d(j(h)).\nAnswer: 136*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 2\/17 (c) 8\/3 (d) -11\/10 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203111210 - 2?\nAnswer: 203111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -0.0572.\nAnswer: -10.0572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6)\/g*g\/(g\/(g\/g**(-3)*g)))\/(g\/(g*g**(2\/5)))**27 assuming g is positive.\nAnswer: g**(449\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 678 in 3, -97, -35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 5. Let n be l(0). Suppose -n*b = -c - 7, 4*c + 8*b - 3*b = 22. Solve c*w + w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Suppose -4*w = -0 - 12. Suppose w*v = 2*s - 5, -5 + 22 = -3*v - 4*s. Put v, 2, i in decreasing order.\nAnswer: 2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64039099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 9*s**2 - 5*s + 2. Let x(j) = 5*j**3 + 25*j**2 - 16*j + 5. Give 8*u(b) - 3*x(b).\nAnswer: b**3 - 3*b**2 + 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 8) + 53 + (44 - 49) + (7 - -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*r + 831 = 0, 3*r - 533 = -3*q - 38. Suppose 26*a + 678 = -1402. Let z = q + a. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in 8\/5, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**4*r + 2211067*p**2 + 420605*r + 2 wrt p?\nAnswer: 4*p**3*r + 4422134*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53052 (base 8) to base 7.\nAnswer: -121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x + 3. Let v(p) = 2*p + 1. Let y(d) = 3*j(d) - 6*v(d). Let m(w) = -26*w + 4. Determine -2*m(b) + 3*y(b).\nAnswer: -29*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - 744?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.999975 + 24. What is b rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**3 + 2*c**2. Let z(f) = -15*f**3 - 3*f**2. Determine -9*l(t) - 4*z(t).\nAnswer: -3*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*b, -2*b + 2 = 2*n - 6*b. Let s = -2 - n. Let v(p) = 1 + p - 2*p**2 + 0*p - 3*p**2. Calculate v(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2754329509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -d40133 (base 14) to base 6\nAnswer: -413053321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181703, -363406, -545109?\nAnswer: -726812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 - 0.07. Let x = 368 + -1105\/3. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 161, 316, 531?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + 1110043104?\nAnswer: 1110043022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - x - 6 = 12, -2*r = -2*x - 4. Let f(b) = b - r + 4. Let p(c) = 5*c. What is p(f(l))?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5202 or -3062?\nAnswer: -5202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.13, 1, -2886\/41?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -513.\nAnswer: -44\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 8*l + 6. What is r(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z - 2*z + 5*z - z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 26. Let o = -14.67 + 14.17. What is the fourth biggest value in -4, j, o, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 0 + 2\/5*y**4 - 2*y**2 - 2\/5*y**5 + 6\/5*y**3 + 4\/5*y = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81809, -308862, -687295, -1217114, -1898325, -2730934, -3714947, -4850370?\nAnswer: -6137209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.36000056 + 0.36. What is w rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/(-42)*6\/(-16). Let z = -8\/7 - x. What is the closest to -0.2 in z, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14 + 9 = 0. Suppose -a*s = -0 - 80. What is the remainder when (20\/16 + 2)*s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r = -10*r - 2493435. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-3)*5\/60. Is v greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -249 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaqn when four letters picked without replacement from njnjnkxjkqakakjqnjj.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/3 + 35*p + 230\/3.\nAnswer: -5*(p - 23)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from fobzx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-99)\/24*2*(-254)\/762\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -498*d**3*l - 2*d**3 + 209*l wrt d?\nAnswer: -1494*d**2*l - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 273*y - 13. Let t be w(1). Let l = 586 - t. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047025 rounded to four dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2702 by -1359.\nAnswer: 2702\/1359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.191 - -3?\nAnswer: 3.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 34 = -10. What is the nearest to 0.1 in n, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.7, -0.4, 6\/7, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 27. Which is the closest to 1? (a) -4 (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 4, 10, -5, -1 in decreasing order.\nAnswer: 19, 10, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 8\/(-26) + 0. Suppose -y + 3 = 3*q, 0 = -y + 3*y + 3*q - 3. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-4))\/(1\/(-14))*146\/(-72635). Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 divided by -37?\nAnswer: -495\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.5 (c) 1\/3 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 3, -65067 in decreasing order.\nAnswer: 3, -1, -5, -65067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1401018, -1401022, -1401026, -1401030?\n\"Answer: -4*c - 1401014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(256).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56599 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2177.5 - -2178. Which is the smallest value? (a) 0.3 (b) -1.3 (c) -4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*y - 124, -5*y = 2*p + 36 - 151. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-5))\/((-2)\/(-20)). Let x be 1360\/560 + (2 - (-30)\/(-21)). Let z(q) = -2*q + 31. Let v be z(17). Put 1, t, v, x in ascending order.\nAnswer: t, v, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-4) + 13\/((-130)\/(-50))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 22617.\nAnswer: -2261.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -57*f - 17. Give n(-4).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 0.02, 1365, -1\/4 in increasing order.\nAnswer: -1\/4, 0.02, 2\/23, 1365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 z when four letters picked without replacement from rrrrrzzrzrzz?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 69 = 363 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22674595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -1229?\nAnswer: 1229.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/44 and 97\/5252.\nAnswer: 57772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8.3. Let y = t - 0.2999995. Round y to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 5*h + 4. Let r be s(2). Let m be (-1)\/(-1) + r + -3. Solve w = -m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 283 + -241. Find the third derivative of -2*v**2 + 38*v**5 - 34*v**5 + 30*v + z*v - 7*v**4 wrt v.\nAnswer: 240*v**2 - 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Let b(f) = 2*f - 4. Let m(k) = -b(k) - 5*v(k). Suppose 3*a + a - 4 = 0. Let c be m(a). Solve c*s - 1 = -5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.248288 years?\nAnswer: 0.001248288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 - (-29 - (-24 - -9)) - (6 - 34)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 = -15. Let u(n) = n**3 + 9*n**2 + 7*n - 2. Let j be u(q). Suppose -2*t = -j*t. Which is smaller: t or 2\/61?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-10))\/((-163)\/((-51345)\/126)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80671955.\nAnswer: 5, 7, 13, 177301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 7. Let p = 149.1 + -149. Which is the nearest to -1? (a) w (b) p (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1329?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 59*n**4 - 4*n**2 + 164. Find the second derivative of a(m) wrt m.\nAnswer: 1416*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*k, -6*k = -2*k + 4. Let y(s) = s. Let p(f) = 5*f. Let a(h) = -6*p(h) + 25*y(h). Calculate a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6864662 rounded to three dps?\nAnswer: 5.686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4206868 less than 4206856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(3 - 40\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(2\/(-1) + 12). Suppose b - p - q = -0*p, b + 5*p + 20 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 1635*o**3 - 178215*o**2 - 6475145*o.\nAnswer: -5*o*(o + 109)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 + 86*g**2 + 2436*g.\nAnswer: 2*g*(g + 42)*(g + 87)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -54. Calculate the greatest common factor of 24 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1311717 by -3.\nAnswer: 437239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -16*p**2 + 0*p**3 + p**3 + 5*p**2 + 3 + 8*p**2 - 4*p. What is u(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v + 0*v)*(1 - 1 - 27)*(3 + 0 - 2 + (-3 + 0 + 2)*(-2 + 6 - 1)).\nAnswer: 108*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.092 - -0.046. Let k = i + 0.0460037. What is k rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*u - 4 = -u, 5*m - u = 4. Let x = -0.57 - -0.07. What is the third biggest value in 4, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -16\/3*p**3 - 64\/9*p**2 + 1\/45*p**6 + 22\/9*p**4 + 0 - 7\/18*p**5 - 35*p. Let l(h) = 0. What is h?\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 141516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.25 + 2.968. Let h = -0.518 + t. Which is the fourth biggest value? (a) 2\/3 (b) -2\/7 (c) h (d) -9\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/39*-1*(-3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15615226 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2999609 hours in microseconds?\nAnswer: 1079859240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -238 + 12*z + 238 + z + z + 0*z + 2 - 2 - 2*z + (-2 + 1 - 1)*(2*z - 3 + 3) + 2*z - 2*z + z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.43329?\nAnswer: 0.043329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.84 - 1.9. Let u = -3.94 + s. Let q be ((-3)\/(-27)*3)\/(22 + -21). Which is the second smallest value? (a) q (b) -3\/8 (c) 0.2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -61*a - 3*a**5 - 3*a**4 - 3 + 58*a + 28*a**2 - 22*a**2 + 6*a**3 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86152 is divided by 28700?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/60 - w**4\/3 + 7*w**3\/3 - 4*w**2 - 6. Let d = 1 + 7. What are the prime factors of i(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*w**5 - 1292*w**4 - 7236*w**3 + 9932*w**2 - 1352*w = 0. Calculate w.\nAnswer: -13, 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -109*z + 77 + 229. What is the closest to -0.4 in -0.03, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 5*p**2 - 4*p + 17. Let m be y(5). Let u be ((-10)\/(-6))\/(m + (-161)\/(-54)). Let w = u - -102. Solve -4*z + w = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 35*s = 14*s - 414 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1132378 by 26.\nAnswer: -43553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1074308180 to the nearest one hundred thousand.\nAnswer: -1074300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 85504*s\/3 - 342032\/3.\nAnswer: (s - 4)*(s + 85508)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ggkgkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4033 (base 5) to base 14.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 4, 5, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*8\/30*(-129)\/172.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {r: 4, i: 2, z: 2, l: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4553507, 9106969, 13660431, 18213893, 22767355, 27320817?\n\"Answer: 4553462*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170 - -208. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2982299, 2982202, 2982105, 2982008?\nAnswer: 2981911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-7)*x*x*x)**32 assuming x is positive.\nAnswer: x**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1108288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 - (-104)\/16. Let q be -1*3\/x*4. Let p = -1.3 - -0.3. Sort q, p, -0.3 in descending order.\nAnswer: -0.3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19, -6\/23, -0.5, 0 in ascending order.\nAnswer: -0.5, -6\/23, -1\/19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -5 + 1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*sqrt(208)*1)**2 + 5*(sqrt(13) + sqrt(156)\/sqrt(300)) + 5.\nAnswer: 6*sqrt(13) + 5208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001356001 to 6 dps.\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + 8. Let w be c(-7). Let g(j) = j**3 + 9*j**2 + 11*j - 4. Let x be g(-5). Let u = x - w. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x*x**(-5))*x*x*x**(1\/8)\/x*(((x\/x**(2\/5))\/x)\/x*x)**(-2\/3))\/(x**(2\/5)*x*x\/x**(-1\/5)*x**3\/(x\/(x**(-4\/7)*x))) assuming x is positive.\nAnswer: x**(229\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*m + 4*c + 623, -3*c = -5*m - 704. Let s = m + 157. Calculate the greatest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, q: 7}. Give prob of sequence iqqi.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939634?\nAnswer: 2, 59, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 133, 381, 653, 877, 981?\n\"Answer: -12*m**3 + 84*m**2 + 80*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 5*t**2 - 4*t - 5. Suppose -70*y + 77*y + 28 = 0. Determine z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 3, -1\/3, 0.1, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128\/22 - (217\/77 + -3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:25 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - d + 1. Suppose -4*s - 8 = -0*s - 3*w, -3*s + 3*w - 9 = 0. Let n be v(s). Factor 2*r**4 + r**4 - 9*r**3 - 3*r + 0*r**4 + 9*r**n.\nAnswer: 3*r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - 2*t)*(-2*t**3 + 0*t**3 + t**3) + 4*t**4 + 3*t**4 + 2*t**2 + t**4.\nAnswer: 6*t**4 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*2 + sqrt(77) + sqrt(77) - ((sqrt(77) - 4*3*sqrt(77)) + sqrt(77)))\/((sqrt(88) - -2*sqrt(88)*1)\/((sqrt(88)*1 + sqrt(88))\/sqrt(11))) + 3 + -2.\nAnswer: 1 + 28*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 11)*(-3 - 7 + 1)*(-12*r + 15 - 15).\nAnswer: -972*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1003383?\nAnswer: -1003385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14991 + 1268*n**2 + 14991.\nAnswer: 1268*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -557. What is the greatest common factor of 46 and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -896*d**2 + 9*d + 2532. Let m(s) = -3*s - 2. Let f(l) = -3*m(l) - y(l). Find the first derivative of f(q) wrt q.\nAnswer: 1792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 220\/3? (a) -5 (b) 0 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26804888 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -91.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {a: 1, j: 2, x: 5, l: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkskhhkjzkjhsfshshf. Give prob of sequence kj.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -171*g**3 - 2213*g**2 + 130*g + 4. Calculate x(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1428735 divided by -18555\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h = -41*h + 12. Let j be 30\/(h - -7)*(-3)\/(-3). Solve 0*o - 5*z + j = 2*o, 2*o - 14 = -z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 2)*(-2)\/4. Let n(l) = 6*l - 3. Is n(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 1, b: 2, g: 4, j: 3, y: 2}. Give prob of sequence syvg.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3987\/4 + 981. What is the common denominator of y and ((-3)\/14)\/(3\/(-68))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 211. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**3 + 21*i**2 + 15*i + 6. Let k be (0 - -3) + -2 - -4. Suppose -r + 4 = k. Let v(u) = -u**3 + u**2. Let c(d) = r*p(d) + 9*v(d). Factor c(q).\nAnswer: -3*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 387, 397, 419, 459, 523, 617, 747?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.03, -4\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3\/8, 0, -9, 5, 1\/10, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-45))\/(-2) + (-2)\/(-6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -245, -265, -285, -305?\n\"Answer: -20*w - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 393 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 373145837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -84*y + 80*y - 2981, 3*y = 5*l - 4983. What is the highest common divisor of 135 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16901889 or 135215115\/8?\nAnswer: 16901889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1 + (-25 - -97). Suppose -70*f + n*f + 8 = 0. Sort 1, f, -5, -12 in descending order.\nAnswer: 1, f, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.31 + -0.309914. Round c to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/((-1093525)\/83))\/(2\/(-4))\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -120*o**2 + 59*o - 1002. Let n(t) = 40*t**2 - 21*t + 334. Let y(c) = 6*a(c) + 17*n(c). Differentiate y(i) with respect to i.\nAnswer: -80*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, l: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -947291 from -1.373.\nAnswer: 947289.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g. Let i(p) = -40*p**2 - 5*p + 45. Give i(b(z)).\nAnswer: -4840*z**2 - 55*z + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:31 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*i + 138*i = -185*i + 14612 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -754792 - -754792.06600054. Let c = b - 0.066. What is c rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 10*j. Let h be l(8). Let u = -245 + 244.7. Is h less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/(-390) + (537\/195 - 10\/(-25)). Put 176, h, 0, 2, 4 in ascending order.\nAnswer: 0, 2, h, 4, 176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and 0.6.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -14, -7, 2?\n\"Answer: s**2 + 2*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 1\/9, -7 in decreasing order.\nAnswer: 1\/9, -1.8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a. Let y(x) be the first derivative of 0*x**2 + 5 + 2\/3*x**3 + 0*x. Give y(c(w)).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 220*2726\nAnswer: 599720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-16)\/(-12)*375\/10).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -14*d**2 - 2*d + 10. Let h(k) = 7*k**2 + k - 5. Determine -11*h(f) - 6*i(f).\nAnswer: 7*f**2 + f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfff. Give prob of picking 3 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.61727 + 25.38273. Let z = -0.16 + 0.06. What is the third smallest value in 1\/2, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -52. Suppose -q = -x - 75, 4*q + x = 158 + 167. Calculate the greatest common divisor of q and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 610 + -417. Let y = j - 57. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 8, 3*y + 5*k = 32. Let t(n) be the second derivative of 1\/6*n**y + 0*n**2 - 1\/3*n**3 + n + 0. Solve t(f) = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**4\/24 - f**2. Let l = 327 + -325. Let q(g) = -147*g - 143*g + 290*g + 10*g**l. Calculate q(p(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {c: 1, b: 1, x: 1, p: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + 16 + 2 + (741 - 673)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1866.78l to millilitres.\nAnswer: 1866780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3341 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00398826831 to five dps.\nAnswer: 0.00399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2444\/(-235))\/(8\/(-10))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*i - 144*i - 100 = 0. Calculate the remainder when i is divided by (2\/(-4))\/((-3)\/66).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*x - 5999042 + 48374757 - 6485315 = 0. Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 50*i - 3. Let y(v) = 6 + 4 - 5 - 4. Let h(r) = l(r) + 2*y(r). Let k be h(1). Calculate the highest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 272717\nAnswer: 272717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q - 3*d = 3, -3*d = q + 3. Which is smaller: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - 13) - (85 - 81)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1809 = -6*f - 1664 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i + 2*i - 4*i + (1 - 2 + 2)*(-2*i - 5 + 5) - i - 3 + 3 - 2*i + 2*i - i + 684*i + 48*i + 107*i.\nAnswer: 837*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*w**2 + 5*w + 7997 - 7997 - 2*w**2 + 2 - 2 + (0*w - 2*w + 0*w)*(0 + 0 - 2*w).\nAnswer: -8*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437858?\nAnswer: 2, 1718929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/32*((-48)\/8 + 4). Suppose 7*h - 2*h = d + 20, -2 = d + h. Put d, 1, o, -4 in decreasing order.\nAnswer: 1, o, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1991*u - 534*u - 4371 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 - -1341?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 12*a - 17. Let n be r(-7). Let d be (25\/(-9) - n)*12\/(-8). Let g = -4 - -5. Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-60))\/(5*8\/60)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(19\/2)*q*q*q**(2\/27) assuming q is positive.\nAnswer: q**(679\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1408 and 255104.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 7*l**2 + 2*l - 10. Let f be d(7). What is the second derivative of 1 + f - 20*t - 5 + 4*t**4 wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12270951 is divided by 1363439.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:18 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (243\/6 - 1)*(11 - 14 - -5). Solve -b - 29 = -36*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Solve -s*r = -3*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -159, -299, -437, -567, -683, -779?\n\"Answer: w**3 - 5*w**2 - 132*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/i)\/i)**(-2\/75) assuming i is positive.\nAnswer: i**(8\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -15 - (-11 + 4) - 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - o = 88. Let m = 8 - o. Suppose -4*x - 3*k + 267 = m, -4*x + 199 = -x + 2*k. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -1, 1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 461681 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23500 divided by 5875.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.99999912 - -85. What is z rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1293662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.08 and -702.882 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973*a + 51*a + 1505 = 481 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + k**2 - 2*k - 1. Let s(j) = 14*j**3 - 2*j**2 + 6*j + 6. Determine -2*l(p) - s(p).\nAnswer: -16*p**3 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/8145 (b) -3 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -69*g. Let s(h) = -208*h. Give j(s(c)).\nAnswer: 14352*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 231\/50 - 1\/50. Is 5 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 447669008*d**3 + 564950133*d**2.\nAnswer: 2686014048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(-11)\/396*75\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -6*p - 1166. Let q = p - -258. Which is greater: 33 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6\/13, 18 in descending order.\nAnswer: 18, -6\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 420*i**2*s**4 - 2*i**2*s**3 + 42*i**2*s**2 - 2*i**2 - s**4 + 179 wrt s?\nAnswer: 10080*i**2*s - 12*i**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.0212 - -2.8912. Is -1\/16 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/((-4)\/112*6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 5*f. Solve 3*v - 7 = 8, 4*g + 4*v - 28 = f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(48) + (sqrt(432)\/sqrt(324) - sqrt(48)).\nAnswer: 2*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135.3 + 135.29997988. Round k to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20531, 20574, 20617, 20660, 20703, 20746?\n\"Answer: 43*l + 20488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -9, -1\/9, 0.4, -5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 14*f**2 + f + 16. Let b = 19 - 12. What is the remainder when b is divided by l(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1640047 (base 8) in base 7?\nAnswer: -4016231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 + o**2 + 147. Let c(h) = -h**2 - 31*h - 30. Let b be c(-30). List the prime factors of n(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -867 + 867. Solve q*c - 4*c = -4*z - 24, 0 = -4*c - 5*z - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*t**3 - 2*t**4 + 1 + 12*t**3 + t + 16*t**3 + 1 in the form v*t**3 + u*t + f*t**4 + h*t**2 + r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4268, -4\/7, 3\/2, -1, -1.07 in increasing order.\nAnswer: -1.07, -1, -4\/7, 3\/2, 4268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjrzrapppzajpatj. Give prob of picking 1 z, 1 r, and 2 j.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let s(j) = 2*j**2 - 2*j - 16. Let y be s(4). Let u(o) = 14*o + 0*o - y*o + 7*o. Determine u(t(d)).\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 600 = 2*x - 3*b, 3*x + 4*b = 880. Suppose o = -3*o - 5*k + 296, -5*k - x = -4*o. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-8 - 24)) + -23?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38353 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87614459.\nAnswer: 53, 1653103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-6))\/((-4)\/168). Suppose j - 3 = p. Suppose -2*i - 5*w + j = 0, 0 - 1 = -i - w. Let z(r) = -r**3 - 5*r**2 - r + 4. Calculate z(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-28)\/(-44))\/(-7) - 11580\/(-63250) and -29\/4?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62062 + 930551\/15. Let s = -74\/3 - i. Let k = 1.3 + 0.7. What is the smallest value in k, s, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in 11, -1, 3, 0.1, -3\/4, 1.04?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*i - 68*i**4 + 7 - 7 - 11*i**2 + 12*i**2 + 24*i + i**3 wrt i?\nAnswer: -1632*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*w**5 - 198*w**2 - 119*w**5 + 32*w**5 wrt w?\nAnswer: -6660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 3*(4 + sqrt(300)*2)))**2.\nAnswer: 33000*sqrt(3) + 273025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2315\/3 + -742. Let w = d - 31. What is the third smallest value in w, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 2\/(-2) - 4. Let q(m) = 9*m + 5. Let p(a) be the third derivative of -a**2 - 1\/2*a**3 - 5\/24*a**4 + 0 + 0*a. What is y*p(f) - 3*q(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 332, 1, -1\/9, 1\/13, 0.1.\nAnswer: -5, -1\/9, 1\/13, 0.1, 1, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3057*k**4 + 6126*k**3 - 3081*k**2 + 12*k.\nAnswer: -3*k*(k - 1)**2*(1019*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3715*o - 31786 + 169351 = 1380*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 24.1 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(115\/(-525) + (-2)\/(-7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*w**6 + 29*w**6 + 10*w**2 - 13*w**6 + 20*w**2 wrt w.\nAnswer: 3600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*x = -15, -3*x = -2*v - 0*x - 11. Let s be v - 1*34\/2. Find the common denominator of (s\/(-80))\/((-1)\/62) and -7\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.49 * 96.\nAnswer: -47.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -0.4, 4, -3\/10, 152?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(12))**2 + sqrt(3) + (sqrt(12) - sqrt(96)\/sqrt(8)) + 0 + (sqrt(21) + sqrt(336) - sqrt(21))\/sqrt(7) + sqrt(30)\/(sqrt(20)\/sqrt(2)).\nAnswer: 37 + 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/82 in 1\/2, 5, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2106.94 hours to minutes.\nAnswer: 126416.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2077.564387 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2. Let o(t) = 2*t**2 - 169. What is o(k(z))?\nAnswer: 8*z**4 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksaa when four letters picked without replacement from {t: 4, a: 5, s: 3, k: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*h + 16*h**3 + 21*h - 23*h**3 + 33*h.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 - 15*p - 98. Let m be n(-5). Suppose -12 = h + 2*h, 76 = 4*b - h. Find u such that -8*u**m + b*u - 18*u + 4 + 4*u**4 + 0*u**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8*k = 3*k - 233, 0 = 5*p - 2*k + 626. Let i = 138 - p. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1346.5 - -1709. Let v = l + -362. Which is the nearest to 2\/7? (a) v (b) 6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37067.\nAnswer: 101, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 180\/35 + -3 + 3. Suppose -y = -5*g + 9, 2*y - 3*g + g = 6. Is y greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3578 + 5356. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -1 + sqrt(175))*-6 - 2*-1*sqrt(700).\nAnswer: -40*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87622349 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 41a5 (base 13) to base 12\nAnswer: 5318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 13. Let j be 114\/12 + 4\/(16\/(-6)). Let m be s(j). Suppose -6 - 4 = -m*k. Solve 0 = -t - k*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315512.\nAnswer: 2, 39439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -2. Let k = -3 - m. Find the second derivative of 9*v**3 + k*v - 10*v**3 - 2*v wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -44. Suppose 3*r + 45 = 3*g, -3*g = -0*r + h*r - 15. Is 3030\/8 - g\/(-40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g - 42. Determine m(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 0.168, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2421075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1069527*k - 2255714 wrt k?\nAnswer: -1069527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 39044981\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 9*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.5 + -43. Which is the second smallest value? (a) 0.17 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(435\/(-120))*(143559\/(-13052) + 11).\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 438090211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(448) - sqrt(448)) + sqrt(448) + -2 + 1 + sqrt(448) + sqrt(448) + 4 + sqrt(448))**2.\nAnswer: 128*sqrt(7) + 7172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 + 7*n + 9. Let x be m(-6). Suppose -45 = -5*i - 3*s, -s - x = -2*i + 2*s. Let d(v) = -v**3 + 11*v**2 + 14*v - 9. Does 12 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47658.09 millennia in months?\nAnswer: 571897080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -19, -63, -125, -205?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 4*x + 980. Let v = -175 - x. Solve 2*b + 0*b = v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose 0 = -z*c + 36 + 18. What is the remainder when 34 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277761700 rounded to the nearest 1000000?\nAnswer: 278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7209 + -5115. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10979 + -10959. Let k(r) be the first derivative of q + 2*r + 9\/2*r**2. Calculate k(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 789 and 101678?\nAnswer: 80223942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/11844 and -137\/5922.\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + 0 + 6*(sqrt(2057) + 0)))**2 + -5.\nAnswer: 2112*sqrt(17) + 1184843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2589500 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-1)\/44*6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -2*z**3\/3 - z + 81. What is r(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*a + 185, 0 = -a - a + 10. Let d = n - 37. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4207 + -4185. Let r(z) = -2*z + 31. Give r(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 82346, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1323*d**6 + 2*d**5 + 34662*d**2.\nAnswer: 158760*d**3 + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4169*m**3 + 3425*m**3 - 130*m**4 - 618*m**4 - 4*m**5.\nAnswer: -4*m**3*(m + 1)*(m + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c + 2685. Let h be v(0). Let g = h - 1501. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/3686809 and 43\/2256107?\nAnswer: 151159169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278622 is divided by 151.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8. Suppose i = -3*n - n + 12. Solve 0*t - n = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 32*z**2 - 59*z + 29. Give g(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.9 - 12.1. Let u = 0.8 - o. What is the third smallest value in 0.3, u, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85571 + -0.4?\nAnswer: 85570.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22194*r**2 - 6379*r - 5?\nAnswer: -44388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 3*v. What is the first derivative of v + o**2 + 2 + 9*o**2 + 7 wrt o?\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37997180 divided by -4\nAnswer: 9499295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.2642 and -60.\nAnswer: -58.7358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99610.97 and 5.\nAnswer: -498054.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/(-2)) - 11*(-1298)\/14762?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*g - 6*g + 2*r, 28 = -3*g + 5*r. Let u = g + 0. Let v = 97 - 871\/9. Is v less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 7, -22, 5, 4\/5.\nAnswer: -22, 4\/5, 5\/3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -5, -14, -23, -32?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 56 + 95 = -4*v, 3*v = 4*o - 38. Solve 0 = 5*m - o*m - 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115*h - 63*h + 201*h)*(0*h + 0*h - 2*h - 5*h**2).\nAnswer: -1265*h**3 - 506*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 5:48 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*-4*(sqrt(325)*-2 + -3))**2.\nAnswer: -2618000 - 120000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1242*r + 2769 = -957 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 995914*0.5\nAnswer: 497957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001 + 1001211000002?\nAnswer: 1001210221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -23, -4, 49, 148, 305, 532, 841?\nAnswer: 1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -7*o + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -2*u - i, 0 = 5*u + 3*i - i + 248. Let d = 61 + u. Calculate the remainder when d is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) - -4*sqrt(350)*2) + sqrt(350) + sqrt(350) + sqrt(350))\/(sqrt(56)\/sqrt(2)).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 5*g - 48. Determine i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + v - 63 - 48, 1 = v. Solve -2*i = 4*p + m, -4*p - 2*i - 21 = -i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 741040 and 1256.\nAnswer: 741040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 10*c - 24*c + 297 = 0, 2*x - 2*c + 36 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274 - 87 - 75)*(2*b + 2*b + 0*b).\nAnswer: 448*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sscd when four letters picked without replacement from dcccsdsccccc.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**6\/105 - x**5\/35 + x**4\/6 + 8*x**3\/21 - 12*x**2\/7 + 3328*x. Suppose h(w) = 0. What is w?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*-2*sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(12))**2 + 3.\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14454 divided by -146?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 344?\nAnswer: 1\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/36*(-1 - 10\/(-4)) and 91\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 87*p**5\/4 + 147*p**4\/2 - 477*p**3\/4 - 351*p**2 + 243*p = 0. What is p?\nAnswer: -3, 0, 18\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -133, -378, -785, -1354, -2085, -2978, -4033?\n\"Answer: -81*k**2 - 2*k - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -12, -25, -44, -69?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 2\/3 (c) 2\/5 (d) -25124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.5 - -19. Let t be 4\/46 + (2299\/(-253) - -6). What is the fourth smallest value in 12, -4, t, b?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51*-67.001\nAnswer: -3417.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(4*(-4)\/(-64)). Let m be 1\/((-10)\/6 - -2). What is the second derivative of -3*p + d*p + m*p**3 - 2*p**3 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -4\/1683 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 183191*l + 1099122. What is o(-6)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 29*s = -24 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mhxxxxmmhxxxm?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9930513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3962 + 154480\/39. Find the common denominator of (-80)\/(-2) - 530580\/13468 and d.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 104*a - 49*a - 52*a = -2, 77 = -78*b + a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1617) - (-6*sqrt(1617)*2 + sqrt(1617) + sqrt(1617))) + sqrt(1617))\/((sqrt(66)\/sqrt(54) + sqrt(11))*1).\nAnswer: -126*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 44. Let c = -172 + 361. Calculate the greatest common divisor of c and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 8:33 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-3 - -1 - 0). Is 13 a factor of t*(26\/2)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*z - 22*z - 5037208 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6247 + 6247.00023545. What is a rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 250718753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -284600.874 and -0.5?\nAnswer: 284600.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 8*y**2 + 42*y. Let z be a(7). Solve c = -2*w - 7, z = -4*c - 3*w + 2*w - 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.7, -2\/9, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 685 * -0.5.\nAnswer: -342.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 3. Let m(v) = 5001*v**2 + 6*v + 4212. Let s(i) = -3*k(i) + m(i). What is the first derivative of s(a) wrt a?\nAnswer: 10002*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 + 0.85114.\nAnswer: -90.14886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*l - 7. Let c(m) = m**2 - m - 43. Let n be c(-6). Put n, 9, 4, l in descending order.\nAnswer: 9, l, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*y**5 + 2564*y**4 - 4992*y**3 + 1604*y**2 + 1312*y - 528 = 0. What is y?\nAnswer: -66, -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {o: 2, y: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3 - 1. Suppose -p - r*p = k + 2, k = 2*p - 7. Is 17 a factor of (-5 - 4)\/(p\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-325)\/(-195))\/((-5)\/(-6)). Let p(i) = i**3 - 3*i**2 + 3*i. Give p(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82962*u - 2*d = -82961*u + 2, 4*d = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s - 16*s)*(-1 - 1 - 2) in the form x + g*s and give g.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m, 4*r + 4*m = 8. Suppose 16 = h + 5*p - 28, r*p - 10 = 0. Suppose h*x - 27*x = -120. Calculate the lowest common multiple of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1398.8 and 9\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 + -0.1. What is the second biggest value in p, -0.08, -1\/2, -0.4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 5*z + 5*z + (-z - z + z)*(3 - 2 - 3).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69256 (base 14) in base 3?\nAnswer: 110222200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46895\/6 + -7792. What is the common denominator of 343\/(-28)*6\/(-7) and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/6)*i*i**5)\/((i\/(i**6*i))\/((i**(-2\/7)*i*i)\/i)))\/((i*(i\/i**1)\/i)**(-4\/25))**39 assuming i is positive.\nAnswer: i**(527\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*f + 25 = 0, -5*d + f + 2*f = -35. Suppose -4*n = v - 240, -982 = -2*v - 2*v - 5*n. Is v + -1 + (d - 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 61 = 66 - 29 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-635 + 273*s + 325*s + 635)*(-2 + 2 + 5) in the form p*s + x and give p.\nAnswer: 2990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*i + 807 = -27*i + 15357 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/6 and ((-492)\/60)\/((-156)\/(-10))?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 989\/(-299) + 20 + -17?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = -0*d + 3*d, -5*d + 2 = -2*z. Suppose 2*p + d*p = 5*r - 35, p - 35 = -5*r. Suppose -r = -3*s + 20. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 3147?\nAnswer: -3154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 40 + 15. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 1 - 35 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -38 = -295\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23374 and 114608.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23136746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 11*w - 19*w**2 - 12*w.\nAnswer: -18*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5876.2 - 5876. What is the nearest to -0.4 in -8, 2\/15, u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 5*h = 27. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227571?\nAnswer: 19, 64609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let s(d) = -134*d + 10. Let r(b) = 6*b. Let c(u) = -12*r(u) - s(u). What is i(c(y))?\nAnswer: 62*y - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -a24270 (base 12) in base 10?\nAnswer: -2537076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 275110491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 9*r - 19. Let s be f(-8). Is -6 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, u: 9}. What is prob of sequence eueu?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 7) to base 3.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7046367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1561*v - 780*v - 780*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j - 134 = 76. Solve -4*g + m + 5 = 0, m = 9 - j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -6.2.\nAnswer: -4.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*g - 3, 3361*r - 4*g + 15 = 3366*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-98)\/(-3) - 8\/12. Let x = w - 16. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 15. Let x(p) be the first derivative of 81*p**2\/2 + 22*p - 24. Is x(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -66. Let r(m) = -6*m + n*m - 25 + 3*m + 17*m. Is r(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 2*o**3 + o**3 + 45*o**3 - 18*o**3 - 132*o**3 - 3*o**3 + o**2 - o**2 + (2*o + 2 - 2)*(2 - 2 + 2*o**2).\nAnswer: -102*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -2\/281 in ascending order.\nAnswer: -3, -2\/281, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2879500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58412348483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i, -5*i - 10 - 129 = -2*q. Let r = 66 - q. Solve 12 = r*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 3, j: 5}. Give prob of picking 3 k.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 0.2.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 10 - 23)*((0 - 2 + 1)*(1 - 3 + 1)*(3*t - 3*t + 3*t) + 3 - 2*t - 3).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 120. Suppose 4*h - 8*h = f. Let d(l) = l**3 + 11*l**2 + 10*l + 10. What is the units digit of d(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-4 + (-2*sqrt(275) + sqrt(275))*-4)*-6 + -5)*-5)**2.\nAnswer: -114000*sqrt(11) + 3969029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 take away -408652981484.5?\nAnswer: 408652981484.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131297 is divided by 1538?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 2, q: 8, b: 7, y: 1}. What is prob of sequence qy?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g*i*x - 2*g*i*y - g*i - 3*g - 15*i*x*y + 3*i*x + 6*x*y wrt y?\nAnswer: -2*g*i - 15*i*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*(-4)\/6*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-45))\/(334\/835)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 939242004 to the nearest integer?\nAnswer: 30647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62979 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 45?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 454369 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -19, -26\/549, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177398633\/340 + -521745. Let k = g - 174\/17. Calculate the common denominator of k and 45\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 10 + (-1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-3))\/((-6)\/18). Let x be (4 + (-20)\/u)*-1. Solve -4*r + 3*o = x, -r = 4*r - 3*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1681*u - 2094 + 4188 - 2075.\nAnswer: 1681*u + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18434.4l in millilitres?\nAnswer: 18434400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14962 - -22362. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 262?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 16589370*f + 13760359849845.\nAnswer: 5*(f + 1658937)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105383 and 2155.2.\nAnswer: 107538.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*x + 4*x. What is the least common multiple of ((-3)\/24*-10)\/((-4)\/(-96)) and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2360b9 - -2?\nAnswer: -2360b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 2 + -2 + -1. Let o be -2 + 13\/12 + -1. Let v = o - -5\/3. Is j smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*o + 20 = 5, -5*o + 10 = 0. Solve 0 = -2*q - 2*h + 2, -z*q + 17*h - 13 = 16*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22803*v**2 - 17372 wrt v?\nAnswer: 45606*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + i)*(-216 - 69*i + 217 + 66*i - 274*i**4).\nAnswer: 274*i**5 + 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 116932 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c + 133. Let w be y(26). Suppose -4*o = -w*o. Factor 5\/2*t**3 + o - 5*t - 5\/2*t**2.\nAnswer: 5*t*(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 4. Let h be (-18)\/(-12)*(-16)\/(-6). Let a(c) = -c - 4. Let j(p) = h*q(p) + 5*a(p). What is j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 57 - 48 = 0. Let m be -1*(s\/(-9) + 2). Which is the nearest to m? (a) 1 (b) -3 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1725 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -241325, -241488, -241637, -241766, -241869, -241940?\n\"Answer: o**3 + o**2 - 173*o - 241154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-12)\/9)*72\/32?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/60*-3)\/(3\/45). Calculate the greatest common factor of 162 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-93)\/(-27) - 6\/2. Put c, 3, 0.2 in decreasing order.\nAnswer: 3, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1*sqrt(90)*5 + sqrt(90) - sqrt(90))\/sqrt(2))\/(sqrt(18)\/sqrt(2)*-5*4).\nAnswer: -5 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*h + 7\/6*h**2 - 7\/6*h**4 + 1\/3*h**3 + 0 = 0. Calculate h.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8183805969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*j + 9 - 36, v - 27 = -4*j. Suppose 5*n = v - 2. Suppose n*m = 199 + 1. Is m a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32091 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 1)\/((-2)\/18). Let n(v) = -1. Let i(u) = 119*u - 116*u + 9 + 0. Let j(f) = x*n(f) + 2*i(f). Let c(q) = -q. Determine c(j(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 57 = 253. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 5*a**2 + a + 5. Let l be u(5). Suppose 0 = w - 10 - l. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or -492?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -80*d - 2. Suppose 0 = 11*z - 7*z - 36. Let f = -12 + z. List the prime factors of b(f).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:46 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y + 5\/4*y**2 + 1\/4*y**3 + 1 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 18*f + 0 = 23*f - 5, -2*l + 22 = -2*f for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.1, -156?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 43 = 87. Suppose z + 0*v + 4*v = -17, 0 = -f*z - 2*v - 12. Which is greater: -2\/61 or z?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -0.4, 163\/3, 0.07, 21\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -25*t + 177. What are the prime factors of h(-28)?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -356.5294 from 201.\nAnswer: 557.5294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asa when three letters picked without replacement from haahhaaaaaaslhlhla?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, -1, 2\/17, 1\/8 in ascending order.\nAnswer: -1, -0.5, 2\/17, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 + 6*a**2 - 3*a. Suppose -y + 3*z = 3 - 1, 0 = 2*y - 4*z + 6. Is q(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1751845622705 and -95?\nAnswer: 1751845622610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9328\/13992*246\/(-4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 396255 divided by 2\nAnswer: 396255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 19*l - 2. Suppose 0 = 6*c - 3*c + 9. Let q(o) = -37*o + 3. Let p(v) = c*q(v) - 5*y(v). Let z(x) = x**2. Calculate p(z(k)).\nAnswer: 16*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 + (-9656)\/(-204))*(-3)\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/21*1148\/(-738)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178*c + 83*c - 72*c)*(2 + 4 - 4)*(1 - 1 + 1).\nAnswer: -334*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12243523 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.517 + -1.531. Which is greater: p or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q - 6. Let r(d) be the second derivative of 13*d**4\/12 + 619*d. Calculate r(l(w)).\nAnswer: 637*w**2 + 1092*w + 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 12*l. Let j be z(5). Suppose 0 = -j*p + 1957 + 83. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 13*h - 16*h + 1434, 5*k - 5*h = 2430. Is 482 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*d = -225*d + 453*d + 4*f - 4, -5*d + 20 = f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {r: 1, c: 2, s: 1, n: 3, h: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-36)\/(-33)*(-48)\/1040*13.\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2601 or -2602?\nAnswer: -2601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1042078 and -7535694.\nAnswer: -8577772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:45 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*a**3 + 72969*a**2 - 1 - 145932*a**2 + 72963*a**2.\nAnswer: -211*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*sqrt(19) + 4 + (sqrt(19) - (5 + sqrt(76)\/sqrt(4))).\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 634 - 625. Calculate the remainder when 202 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 15*o. Let y = 462 + -632. Let x(a) = -10*a**2 + 3*a. Let z(i) = -280*i**2 + 85*i. Let s(h) = y*x(h) + 6*z(h). Determine s(f(t)).\nAnswer: 4500*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -562 + 278 + 284 + 405*g**2 in the form b + d*g**2 + z*g and give d.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10 and 43\/43260.\nAnswer: 43260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1*(11 + (4\/(-2) - -1)) and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 19312 = -6494. List the prime factors of j.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3 + 21*u + 18 = 0?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 939201 rounded to the nearest ten thousand?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -638, -639, -640, -641, -642?\n\"Answer: -n - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:00 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 38 = -68*z + 81*z, -4*f + 5*z + 6 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057224649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*n + 123 = 0, 5*s - 65*n + 72*n - 132 = 0. Solve -8*u = -13*u + 5*m + s, -5*m - 25 = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110481*f**4 + 371780*f**2 wrt f.\nAnswer: -2651544*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 10. Suppose -3*x = x + c. Let i(s) = -s - 8. Let l be i(-6). Put 0, l, x in descending order.\nAnswer: 0, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4708 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*x - 3*m, 7*x - 6*x - m + 1 = 0. Let c(k) be the second derivative of k - 125\/12*k**4 + 9\/4*k**5 + 0 + 0*k**2 - 5*k**x. Let c(o) = 0. What is o?\nAnswer: -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2137 - -3092. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-75*15 + 2)*(-4 - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -813419386.99999895 + 813419352. Let b = 35 + i. What is b rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92\/7 or 12?\nAnswer: 92\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 7088.\nAnswer: 35440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1)\/(-2*2\/824) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 250 = 480. Which is the second smallest value? (a) h (b) -0.11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1041 + 3115345?\nAnswer: 3120430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 261 + -260.8. Which is the biggest value? (a) 79\/4 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3358*s**2 + 12216*s**2 - 2*s + 3446*s**2 + 2*s in the form p + o*s**2 + n*s and give o.\nAnswer: 12304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 = 37. Let d(j) = b*j - 14*j - j**2 + 2*j**2. Let o(n) = -7*n**2. Give o(d(i)).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 6*j - 5. Let n be x(5). Suppose n = 8*l - 12*l + 24. Suppose -5*s - 2*i - i - l = 0, -i - 2 = 5*s. Which is bigger: s or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vszz. Give prob of picking 1 s and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -224.\nAnswer: -23\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -161, -248, -337, -428?\n\"Answer: -m**2 - 82*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -10) + (-6 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123302*r**3 - 1625187 with respect to r.\nAnswer: 369906*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 39. Suppose -434 = -9*j - y*j. Suppose 0 = -j*h + 27*h + 4. Let n(k) = -k**2 + k + 1. Let z(b) = b + 4. What is h*n(q) - z(q)?\nAnswer: -q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04364 and -4.\nAnswer: -0.17456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i. Suppose i = -4*j - 0 + 8. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*x - 23*x. Suppose 3*g - 3*l = x, 3*l + l = 0. Suppose g = -4*r - 2 + 18. Solve 5*t + 33 = -r*d, -t = -5*t + 5*d - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6492893.\nAnswer: 11, 590263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 + -207. Let t = 661\/5 + i. What is r in -t*r**2 - 6\/5*r**3 - 2\/5*r**4 + 0 - 2\/5*r = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(44))\/sqrt(4) + 1*((sqrt(121)*1)\/sqrt(11))**2 + 1.\nAnswer: -sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 839075511 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Suppose -2*q + x + 9 = 0, 5*q - 3*x + 11 = 34. Suppose -f + q*f - 9 = 0. Let r(g) = f*g - 3*g + 3*g. What is j(r(h))?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(90)*-6 - sqrt(90) - sqrt(90))\/(sqrt(20)\/sqrt(36) + sqrt(5)))\/(2*(sqrt(900) - (sqrt(900) + 5*sqrt(900)*-4))).\nAnswer: 3*sqrt(2)\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 8:27 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 232\/116*14\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42276 and 28860?\nAnswer: 7821060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(260)*1*3)\/(-6*(sqrt(320) + sqrt(320)*2) - sqrt(320))*2)**2*5.\nAnswer: 2340\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84)*-2 - sqrt(84))*-6)\/(-2*(sqrt(588)*2 + sqrt(588)))*-4.\nAnswer: 12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*d + 12, -4*d + 48*o + 10 = 49*o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 17280 = 35*o - 33*o, 0 = 2*z - 2*o - 17300. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/74235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/8, 6\/11, -343?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102855218?\nAnswer: 2, 23, 283, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(512\/(-40)))\/1\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3278985.\nAnswer: 3, 5, 218599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 585 = 81*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1. Let b(x) = -x**2 - 12*x + 16. Let o be b(-13). Let l(f) = 3*f - 3. What is o*n(v) + l(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 12*c - 5. Let r be (-1)\/(-4) + (-115)\/(-20). Let i(g) = -25*g + 11. Let a(o) = r*i(o) + 13*n(o). Let z = -105 - -104. Give a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -375, -595, -827, -1077, -1351, -1655, -1995, -2377?\nAnswer: -2807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 6, 5, 18 in decreasing order.\nAnswer: 18, 6, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*(-32)\/(-12). Let n(a) = -11*a**3 + 2 - 1 - 5*a**2 + q*a**2. Calculate n(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6073, 2\/15, 1, 3\/7 in descending order.\nAnswer: 6073, 1, 3\/7, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h = 110*h + 1778 + 1934 - 1128 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/628800 and 173\/15720.\nAnswer: 628800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2. Let b(z) = 4062*z**3 + 6770. Determine b(w) + 3385*j(w).\nAnswer: 677*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/12 + y**4\/12 + 2*y**2. Suppose 3*m - 1 + 5 = -2*t, 0 = -4*m + 3*t - 11. Let q be o(m). Solve 7*p - q = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**5 - 8*y**2 + y**5 + 5*y**5 wrt y?\nAnswer: 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-158)\/(-4345))\/(17\/1309).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4762\/(-4) - (-6 - -2). Let r = z + 1151. Calculate the common denominator of (14\/(-22))\/((-6)\/(-30)) and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from tbmtccqqmllc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let r(h) = -h - 3. Let b be r(3). Let z(j) = -j**2 - 7*j - 4. Let w be z(b). Solve -s*l - a + 4 = 0, w*l - l - 3*a + 12 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 2*t - 3. Let k be g(5). Suppose 3*v + k = -0*v, 3*v = 2*j - 54. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.1 - 19.1. Which is the biggest value? (a) o (b) 5 (c) -2\/21 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 23. Suppose 0 = 5*n - 51 - 29. Solve -b + 4*o + n = l, o + 6 = -o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 89 + -21 + -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:45 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -3*o - 40. Suppose -50 = 2*f - 62. Suppose 0*x + 2*w - f = -4*x, -4*x + 27 = -5*w. Sort o, 0, 1, x.\nAnswer: 0, 1, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*g + 120 = 380*g. Let d(x) = 2*x**3 + 13*x**2 + 2*x. Let y(s) = -2*s**3 - 13*s**2 - 3*s. Determine g*d(l) - 2*y(l).\nAnswer: -2*l**3 - 13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/40 and -38\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 573, 2267, 5077, 8991, 13997, 20083?\n\"Answer: -2*z**3 + 570*z**2 - 2*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = -f, -5*u - 2*f - 3 + 0 = 0. Put 2\/13, -5, u in descending order.\nAnswer: u, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 98 = -17*v - 234, -2*b - 2*v - 16 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/14 and 69\/206?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153800428?\nAnswer: 2, 17, 2261771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1095, -5, 4, -2, -3, 42 in ascending order.\nAnswer: -1095, -5, -4, -3, -2, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 2*o**2 + 3*o + 2. Suppose 3*z = 2 - 8. Let f be n(z). Solve -2*k + f*k - 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422 (base 7) to base 8\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -0*q - 4*c - 5, -5*q + 4*c = 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*u - 11. Solve -4*o + u = -9*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-7))\/(9\/3)*13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -1\/6, 7.881, -4 in increasing order.\nAnswer: -4, -3, -1\/6, 0, 7.881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((2*sqrt(77) - sqrt(77))*-4 + sqrt(77))\/(sqrt(66)\/(sqrt(24)\/sqrt(4))) + ((sqrt(420)*1 + sqrt(420))\/sqrt(10))\/(6*sqrt(6)*2)).\nAnswer: -17*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v + 1. Let p(n) = 5*n + 2. Suppose -28*c = -24*c + 2068. Let q = c + 511. Determine q*m(g) + 4*p(g).\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -697367, -2789522, -6276447, -11158142, -17434607?\nAnswer: -25105842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10574510 divided by -1\nAnswer: 10574510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1220540\/474649 - 2\/67807. What is b in 0 + 6\/7*b**2 - g*b**3 + 18\/7*b**4 - 6\/7*b**5 + 0*b = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432115366 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1849505 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 9 = -4*y - 17, 5*i + 5*y + 30 = 0. Let u(t) = t**3 + 4*t**2 + 3*t + 2. Let o be u(-3). Suppose -o*q = 10 - 0. Sort 0, q, i in decreasing order.\nAnswer: 0, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-8)\/(-20))\/((-4)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/85933577?\nAnswer: -2\/85933577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 26 = -20. Find l such that 51*l**2 + 16*l**h + 4*l + l - 31*l**2 - l = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2294 * -0.1\nAnswer: 229.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731893?\nAnswer: 731893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f**2 - 128*f + 2. Let c(q) = -16*q - 6. Let u(x) = -49*x - 18. Let j(b) = 6*c(b) - 2*u(b). What is j(v(k))?\nAnswer: -24*k**2 - 256*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4805183.\nAnswer: 23, 401, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*2*-1.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-132)\/(-36))\/(28\/588) + (1 - -30).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a hour in seconds?\nAnswer: 77400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 21.594?\nAnswer: -46.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -64598073 less than or equal to -64598069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -489*10\/(-15) - -4. Let z = 324 - a. Let u(d) = -d - 1. Determine u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -461*p + 195. What are the prime factors of f(-33)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/22612 and 48\/24313553?\nAnswer: 97254212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 4 - 4) + 1 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 17. Let i = -0.234 - -0.004. Let s = i - -0.2. Sort -2, q, s in descending order.\nAnswer: q, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1790 and 1074?\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2404543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 10. Let b be x(-7). Suppose 3*a - 4*v + 13 = 0, 5*v = -4*a + 16 + 8. Calculate the highest common factor of a and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*q + 40, 2*q - 5*r - 5 = 11 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1840 times -4\nAnswer: -7360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13737.96 (b) -3\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -4. Let q(k) = 11*k**2 - 26*k + 9. Let c(m) = 7*m**2 - 17*m + 6. Let s(h) = t*q(h) - 8*c(h). Let y be s(5). What is the nearest to 1 in y, 1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4\/9, 1\/8, -2, 28.9 in increasing order.\nAnswer: -2, 1\/8, 0.3, 4\/9, 28.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*1328944\nAnswer: -2657888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30450)\/(-1800) - (47\/12 - 4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55318885 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 23*a**2 + 1534*a + 33202. Give z(-22).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*u + 32, -11 = 4*w - 2*u - 35. Let -4\/3*j**3 - 1\/6*j + 0 - 5\/6*j**2 - 2\/3*j**w = 0. Calculate j.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34131 or 34130?\nAnswer: 34130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (462\/90 - 8\/60 - 3) + -3. Which is smaller: -1\/7562 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(1\/9))**(-1\/15)\/(x\/(x\/(x\/(x\/((x*x**(2\/19)\/x)\/x)*x)))*x*x*x**(-6\/11)))**23 assuming x is positive.\nAnswer: x**(203941\/28215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 8*n - 4*b - 12, 55 = 5*n + 5*b. What is the tens digit of ((-499)\/(-7) - 5) + (-2)\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(11\/7)*((a\/(a\/a**2))\/a*a)**(-50) assuming a is positive.\nAnswer: a**(-689\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.052, -8\/9, -2\/13, 5.\nAnswer: -8\/9, -2\/13, -0.052, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -465*i**3*n - 91*i**2*n + 3*i**2 + 29226262*i*n wrt i.\nAnswer: -2790*i*n - 182*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 0.951\nAnswer: -0.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.7. Suppose -5*u + 317 - 12 = 0. Let z be 6\/(-10) + u\/85. What is the third smallest value in k, z, -5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 21*p**2 - 30*p + 68. Calculate v(2).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19698 - 1020. What are the prime factors of h?\nAnswer: 2, 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737155 is divided by 245714.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 42. Let s be p(-12). Let a(h) = -h**3 - 3*h**2 - 14*h + 6. Does 11 divide a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 22*h - 21*h + 31, 58 = 4*z + 2*h. Solve 0 = -7*k + z - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 427 + -422. Let j = -2 - -4. Sort j, -2, g in descending order.\nAnswer: g, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.2 (c) 0 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 303\/12 - (-27)\/36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times -23?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4249950 to the nearest integer?\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 555 divided by 13\nAnswer: 555\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24881588 divided by -2?\nAnswer: -12440794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(6\/(-21) + (-48)\/(-21)). Let b = a - -12. Let q be (b\/3)\/(24\/108). Solve v = -q, -5*z - v - 12 = 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 880 - 875. Let d = -85 + 764\/9. What is the nearest to 1 in z, d, -3\/7, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585, -1177, -1769?\nAnswer: -2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 111201211110 (base 3) to base 6\nAnswer: 5443320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -741240 divided by -24708.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (276\/(-345))\/(17\/170). Let u = -647\/99 - -58\/9. Which is the fourth biggest value? (a) 1 (b) 0.2 (c) g (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j + 4*i = 28, -j = 4*i - 13. Suppose g + 36 = j*b - 32, 0 = -2*g + 4. Suppose 0 = b*u - 15*u + 80. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 1. Let n be i(10). Let j = 50 + n. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 10 + 150 = 0. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8017 is divided by 501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-3)*q)\/(q\/q**(1\/5)))\/(q**2\/q**(-2\/9)))**38 assuming q is positive.\nAnswer: q**(-6878\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 + 66704*x + 278088976 = 0 for x.\nAnswer: -8338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 2*v**2 - 1. Calculate j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 28*u + 21. Let h be a(-19). Let j = h + -129. Let t = j - 51. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 21. Let y be i(9). Let k be 274 - 3*(-4)\/y. Suppose 0*u + k = 4*u. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 7*m**2 - 10*m**3 - 7 + 3*m**3 + 6*m**3 - 3*m. Let w be g(-6). Does 4 divide 6\/(-18) + w\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 4*y. Let m(n) = 5*n**3 - 2*n**2 + 2*n - 1. Let s be m(1). Let a be t(s). Let l = a + 6. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2 - 32*n + 23*n + 13*n**2 + n**3 - 5*n**2. Suppose -u = -2*j - 5*u - 6, 2*j = 3*u - 13. What are the prime factors of s(j)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-6) - (190\/(-15))\/19. Is h less than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 60, 78, 100, 126?\n\"Answer: 2*k**2 + 12*k + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -5.8. Let g = -10 - t. Let n = g + -1.2. Are -1 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - v - 3, 0 = 2*u - 0*v + v - 9. Suppose -u*b = -5 + 1. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*h**4\/7 - 53031*h**3\/7 - 518031*h**2\/7 - 717546*h\/7 + 212592\/7 = 0. Calculate h.\nAnswer: -8, -2, 1\/4, 4429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e21d819 + -1?\nAnswer: e21d818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - 1) + (-34 - -35).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 6*x**2 - 5*x + 19. Let w be i(-7). Solve -w*c + 9*c = 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31304233, -31304349, -31304543, -31304815, -31305165, -31305593?\nAnswer: -31306099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - 137.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 2*p. Let s(m) = -119*m**2 + 10*m + 2. Give -s(x) + 4*y(x).\nAnswer: 111*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 166585 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-81)\/(-24) - 33\/88. Suppose -l*j - 2*b - 7 = 0, -2*j - 4 + 0 = b. Sort 49, j, 3, 5 in increasing order.\nAnswer: j, 3, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1674*z + 11059. What is the smallest common multiple of k(6) and 4?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42686 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, -30.64, -2, -3, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 149 = 6*w + q, -3*w = 4*q + 115. Let m = w - -155. What are the prime factors of m?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from guoggtutotogtugggggo?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, l: 6}. What is prob of sequence rlll?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -20. Let j be (-10)\/3*9\/(-2). Let m = 7 - 4. Solve -m*f - 6 = 4*g - f, r*g = 2*f - j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2509 + 12391 = 0. Let b be 5\/40*2 - i\/8. Let x = b + 2798. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Let w = h - -5. Let k = w + -7. Solve 0 = -k*g - 5 + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 1. Suppose 0 = -3*l + 4*a - 7, -19 + 26 = -2*l + 5*a. Let w(z) = -14*z**2 + 8*z + 8. What is l*w(h) - 8*r(h)?\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/((-6)\/(-8)). Let j(h) = 3 - 3*h - 3*h + h + 7*h. Let x be j(-1). What is the highest common divisor of z and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 a, and 1 k when four letters picked without replacement from {a: 2, k: 1, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 113*b**2 - 1556*b + 1147. Give a(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 13 + 24 + -29\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19207*i - 2*i**4 + 1166*i**3 + 10337*i + 11201*i wrt i?\nAnswer: -24*i**2 + 6996*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210271*z**4 + 514931*z**2 wrt z?\nAnswer: 5046504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -13. Suppose -2*c - 2 = 0, 4*i + 21*c - 19*c - 878 = 0. What is the greatest common divisor of s and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 1187*w**5\/5 - 10*w**3 - 2*w**2 - 6062. What is the third derivative of n(c) wrt c?\nAnswer: 28488*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/(-140) - 54\/189?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(-32))**(11\/2)*d*d**(4\/9)*d*d\/(d**(-5)\/d)*(d**(-1\/3)\/d)**8 assuming d is positive.\nAnswer: d**(-3245\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 16*h - 31. Calculate the remainder when 58 is divided by l(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let t be (-2)\/((-1)\/(i - -1)). Let q be 2\/4*t\/9. Is q less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 174 - 2\/7*s**2 + 22\/7*s**3 + 0*s. What is c in k(c) = 0?\nAnswer: 0, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25471 = -114*g - 6205*g + 1165*g - 72455 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 28*a**2 + 52*a + 2. What is s(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 0, -2, -26 in decreasing order.\nAnswer: 4, 0, -2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 g, and 1 t when three letters picked without replacement from siftgpi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 21*g**2 - 26*g - 53. Let t be l(-16). Let f = t + 2260. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/8*19\/((-513)\/(-4))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(-10\/7)\/i))\/(i**(-10)*i*i))**(1\/66) assuming i is positive.\nAnswer: i**(29\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/5 - -2) + (61 - 0). Calculate the highest common divisor of 20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -88, -177, -266?\n\"Answer: -89*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011022112 + -2?\nAnswer: -10011022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 65 - 114 + 38)*(-k**2 + 4*k**2 - k**2).\nAnswer: -362*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + 6 + -1. Let v(s) = -s**2 - 11*s - 8. Let b be v(-10). Suppose -5*w + 72 = -4*d, 5*d + 75 = b*w + 3*w. Solve -x*h - w = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-9))\/(10\/15). Which is smaller: o or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.27 + -0.27. Let z = 45 - 35. Let d = z - g. Which is the nearest to d? (a) -5 (b) -0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 2, f: 3, q: 1, y: 4, s: 7}. What is prob of picking 1 m and 1 y?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.293771 seconds to nanoseconds.\nAnswer: 9293771000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/3 - 35\/(-15). Sort z, 0, -2\/17, -2\/11 in decreasing order.\nAnswer: 0, -2\/17, -2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765116923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266297867 rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59630387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 228709.\nAnswer: 1372254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*c**4 - 23*c**4 + c**4 + 3 + c**2 - 5 wrt c.\nAnswer: -1632*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - -122. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + -2 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -195.\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168180 or -168181?\nAnswer: -168181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -5*c + 3*q, -24 = -4*c - 4*q. Suppose 0 = -6*x + c*x. Suppose 4*i + x*i - 228 = 0. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 17. What is the nearest to 1 in r, -4, -12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmkk when four letters picked without replacement from euwkmkwuwmmwmw.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.103 - -4.897. Let x be ((-2)\/(-4))\/((-2)\/12). Let k = x - -14\/5. Which is the biggest value? (a) k (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*d**6 + 11*d**5 + 70*d**4 + 227490*d**2?\nAnswer: 3000*d**3 + 660*d**2 + 1680*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 44996 + 17851 - 107228.\nAnswer: -2*x - 134373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7525618337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + (sqrt(26)\/sqrt(2) - sqrt(13))) - (1*sqrt(39)\/sqrt(3))**2.\nAnswer: -13 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j - 20. Suppose i - 40 = -j*k - 3*i, -k - 6 = -2*i. Suppose -k*y + 3*y = -10. What is the remainder when 18 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11686157191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 26*j**2 + 15*j**2.\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55.8 + 56. Let c = 0.2 + -0.3. Let r = -0.138 - -0.158. What is the closest to c in 0, h, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.042*1328.35.\nAnswer: 55.7907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = c + 95, -4*n + 51 + 11 = 2*c. Suppose b = -2, b + n = 5*l - 3*l. Suppose -3 = -2*d - d. What is the greatest common factor of d and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/123 and -34\/148857.\nAnswer: 6103137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 42431?\nAnswer: -42433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2 + -1) - -58. Suppose q = -4, 3*a + g = -0*q - 3*q. Let m be 4 + (-3 - (-25)\/a). What is the closest to m in 0.3, 2, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04777766 rounded to 4 decimal places?\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -53, -78, -101?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/(2\/(-12)). Solve -5*j = -8 - f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g - 112*m + 107*m - 21, -3*g = 6*m for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from vqcvqcovqqo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1689 and 1164?\nAnswer: 655332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 20 = -4*d, -6*d + 4*d + 5*o - 6 = 0. Suppose -d*s = 3*s - 1270000. Round s to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114107*g*m**3 - g*m**2 + 10*g*m + 143*g - 3038*m**3 - 287*m**2 - 8*m - 2 wrt m?\nAnswer: 684642*g - 18228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*d + 186*d = 18*d + 10*d + 8649 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offofffqqsqfsj. What is prob of picking 2 f, 1 s, and 1 o?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:57 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h - 2\/7*h**2 - 24\/7 = 0. Calculate h.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.08322012 rounded to three dps?\nAnswer: -2.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(1\/3))*i*i**7\/i)\/(i*(i\/(i\/(i*i*i\/i**(-2))))\/i)**4*(i\/(i\/(i*i**2*i)))**(-28)*(i**1)**30 assuming i is positive.\nAnswer: i**(-289\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6 + p**2 + 6. Let l(z) = -3*z**2 + z - 1. Let d(j) = 2*h(j) + l(j). Let m(o) be the first derivative of d(o). Differentiate m(y) with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004083 to six decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1005350 = -5*x, -2*x - y + 117943 + 284200 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50665\/23457 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043627567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1966.35564 times -0.3\nAnswer: 589.906692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 7 + 4 - 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-357120)\/(-5952)*92\/320.\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 27\/494 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38*28\/(-71820)*((-4)\/8)\/(5\/50)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 19*x + 2. Let u(s) = s**2 - 9*s - 1. Let m(d) = 2*f(d) + 5*u(d). Determine m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1309*b + 1420*b - 828*b + 746*b - 39 - 5797 wrt b?\nAnswer: 2647","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -25*b**3 - 9*b. Let g(d) = 51*d**3 + 17*d. Let p(l) = -2*g(l) - 5*x(l). Find the second derivative of p(z) wrt z.\nAnswer: 138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 14 = -6 + 6, 2*x + x = 4*p + 52 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.501 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 251*m**2 - 1977*m - 2394.\nAnswer: (m - 133)*(m + 6)*(2*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -18*i - 6. Suppose -3*a - d - 3 = 0, -3*a = i*d + 12 - 3. Factor 0*u**3 + 0 - 2\/3*u**2 + a*u + 2\/3*u**4.\nAnswer: 2*u**2*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 2*i + 4. Let v be 10\/(-4)*324\/135. Let a be -12 - -10 - -2*(-15)\/v. Give d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 20*y + 15*y - 11*y. Let n(f) = -39*f**2 - 7*f. Let d(j) = -32*j**2 - 6*j. Let s(x) = 7*d(x) - 6*n(x). What is k(s(b))?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*l + 69, 7*q - 10*q + 9 = 0. Suppose -l = 107*j - 112*j. Let i be 1 + (-2)\/(j\/(-18998)). Round i to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583732363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2737)\/101269 - 3916\/222.\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 + 39\/20*b**5 + 1\/2*b**6 - 2*b**3 + 0*b**2 - b + b**4. Let y(m) = 0. Calculate m.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -2*(-21)\/(-6). Suppose 29 = o + 5*f, 48 = 3*o + o + 3*f. Let b(x) = -4*x**2 + 4 - 2*x - 4*x + o*x + 3*x**2. Calculate b(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 22 + 30. Solve l = -2*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 + 6*b**2 + 2*b + 1. Determine r(-3).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = j, j + 2 = -j + 2*m. Let k = 8 - 6. Solve j = k*r - 1 + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 - (-1924)\/65. Suppose j*x = 29*x + 2. Let s(c) = 72*c**2 + 70*c**2 - 143*c**x. Let h(k) = 46*k**2. Give h(s(p)).\nAnswer: 46*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*q - 20*q + 17*q - 2*q**2 - 3*q.\nAnswer: -2*q*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*m - 71*m + 12 = 0. Let s(p) = -7*p**3 - 4*p**2 - 6*p - 1. Let r be s(m). What is r rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17063, -34138, -51213?\n\"Answer: -17075*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -23*l**2 + 18*l**4 - 4*l - 28*l - 24*l**3 - 47*l**2 + 18*l**4 - 10*l**2 = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 101*o**7\/21 - o**5\/20 - o**4\/12 + 221*o**2\/2 + 252*o - 2. What is the third derivative of p(w) wrt w?\nAnswer: 12120*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*y. Let z(u) be the first derivative of u**4\/4 - 4*u**3\/3 - u**2 + 6*u + 15. Determine z(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 601884 and 624?\nAnswer: 31297968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*6\/(-3 - 0). Let r = -13 - b. Solve r*h = -5*j + 20, -h - j = h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -1 (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 8*p - 5 + 4\/3*p**3 + 6*p**2. Factor y(b).\nAnswer: 4*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3) + -19 + (-29 - -9) + 13 + 97.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256.7 + 236. Let t = -3.7 - z. Let g = t - 16. Which is the third smallest value? (a) g (b) -2\/3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b85 (base 15) to base 4.\nAnswer: -220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-25)*-190*(-282)\/7144\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 1060.\nAnswer: 1060.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Suppose 0 = -0*x + b*x. Solve -2*a - 2*k - 2 = -10, -a - 2*k + 7 = x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -17. Let g = -14 + n. Suppose 2*b + 36 = i, 5*i = -0*i - g*b + 150. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**4 - 2*w**2 - 2 - 2*w - 2*w + 7*w - w as x*w**3 + m*w + h*w**4 + v + i*w**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 247.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146390, -145004, -141240, -133910, -121826?\nAnswer: -103800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 + 22*q - 37. Let k(w) = 3032*w. Calculate k(j(h)).\nAnswer: 21224*h**2 + 66704*h - 112184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + 80. Calculate the remainder when 37 is divided by (n\/(-33))\/(1\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.464087796 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 693\/84*2 - 1\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 39*s**3 - 5*s**2 - 8*s + 8. Let d(x) = 79*x**3 - 11*x**2 - 17*x + 17. Let h(u) = -9*a(u) + 4*d(u). What is the second derivative of h(w) wrt w?\nAnswer: -210*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -501\nAnswer: -3507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130113331?\nAnswer: 2837, 45863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 1870?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 11. Let d(k) = 1. Let o(c) = 36*d(c) - 4*z(c). Let t be o(-6). Suppose r + t = 5*r. Solve -4*w = r*y + 8, w + 4 = 3*y - 2*y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1584) + 1) - 6*-5*sqrt(44)\/sqrt(4))**2 + (-3*sqrt(66)*1)\/(sqrt(216)*2).\nAnswer: 2015*sqrt(11)\/4 + 19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22214 is divided by 653?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -49 - (36 - (-5 - -8))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*y - 3*o, 0 = 6*y + 11*y + o + 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 11. Let m be (-2)\/(-4) - 1\/(-2). Put n, -8, m in descending order.\nAnswer: n, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3 - 4) + (-4 - -8) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*s - 25, -5*s + w + 11 = -40. Suppose -3*j + s = -2. What is the second derivative of 7*z + 2*z**4 - j*z + 0*z**4 wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59669 - 895991\/15. Let d = o - -64. What is the closest to -1 in 2\/19, d, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 26. Suppose 2*c + 5*d + 31 = g, 2*d - d + 11 = -2*c. Put 0.03, c, -1\/9 in descending order.\nAnswer: 0.03, -1\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -166\nAnswer: 7\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5)*(l*l**(-5))\/l*l)**12 assuming l is positive.\nAnswer: l**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/9 + 14*y**4\/9 + 2*y**3 - 134*y**2\/9 - 256*y\/9 - 40\/3 = 0. What is y?\nAnswer: -2, -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 1:42 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2510 and -1.6.\nAnswer: -4016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 6*i**4 - 2*i**3 - 3*i**2 + 23*i - 110. Is y(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*j + 27. Let d = -5\/7 + 73\/63. Which is the nearest to 1\/4? (a) d (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a**2 - 2*a. Let w(c) = -41*c**2 + 8*c. Let z(h) = 9*d(h) + 2*w(h). Find the second derivative of z(n) wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 10*w - 13. Let c be h(11). Let j(t) be the first derivative of -t**3\/3 + t**2\/2 - t + 1. Let v(g) = 4*g**2 - g + 2. Give c*j(n) - v(n).\nAnswer: -2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(((h*h**(1\/17)*h)\/h)\/h))\/h**(2\/37)*(h*(h*(h\/(h**(-2\/17)*h))\/h)\/h)\/h*h*h**(-16\/7)*h assuming h is positive.\nAnswer: h**(3166\/4403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4\/4 + 4*v**2 - 3. Find the second derivative of u(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*y - 166 = 240 + 162. Let w(c) = c**3 + 8*c**2 - 27. Determine w(y).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72005*o + o**2 - 72020*o - 4*o**2 = 0. What is o?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (319\/87)\/((-1)\/(-9)) and 209.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 8150?\nAnswer: 8141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*b + 2*b. Let w(v) = 30*v**3 + v**2 + 7*v - 4. Let a(q) = 20*q**3 + q**2 + 5*q - 3. Let h(c) = -7*a(c) + 5*w(c). Determine h(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + c - 3*c**2)*(13 - 13567*c - 12714*c - 4 - 9) to v*c**3 + h + s*c + k*c**2 and give v.\nAnswer: 78843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30326182 divided by 4?\nAnswer: 15163091\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*w = 7, 2*m + 3*w = 2*w - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 3 (c) -3 (d) -23 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 100*v**2 - 174*v - 1296. What are the prime factors of h(-100)?\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11641 or -221170\/19?\nAnswer: -11641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 + 4*u**2 + 16*u - 148. Let n(h) = -3*h**3 - 5*h**2 - 20*h + 147. Give 5*b(g) + 4*n(g).\nAnswer: 3*g**3 - 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r + p - 34, 0 = -4*r - 5*p + 138. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 5*s - 20710 = 14*h, 0 = -5*h - 4*s + 20728. What is the least common multiple of 42 and h?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1462, 1452, 1442, 1432?\n\"Answer: -10*h + 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -366*n**2 - 12*n - 11. Calculate r(-1).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/6*4)\/((-1)\/9). Let b = -3 + p. Suppose 0*v = -b*v - 2*v. Solve -5*u - 5 - 15 = v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -5*v + 5*h - h + 7, 5*v - 21 = h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**3\/6 + 9*c**2\/2 + c - 532. Let l be 0 - ((3 - -1) + 1). Calculate w(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-24)*(-3)\/2 + 4. Solve s = -n - u*n + 20, 0 = -5*s + 2*n + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c**2 + 2*c + 1. Let i(u) = -21*u**2 + 5*u + 3. Give -2*i(b) + 5*m(b).\nAnswer: -8*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -1 - (8 - (-5 - -29))) + 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 5, -5, -67008 in decreasing order.\nAnswer: 5, -5, -45, -67008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 5:55 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7339 + -2.5539. What is the third smallest value in -0.3, n, -5\/21?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.0341.\nAnswer: 0.00341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -32238214600 to the nearest 1000000.\nAnswer: -32238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 - c**4\/4 - 4*c**3\/3 - 12*c**2. List the prime factors of p(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40709 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: Is 0 not equal to -1\/463720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -35. Suppose 6*t + 13 - 253 = a. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/(-13) - (93\/(-9) + (-4)\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7413 (base 10) to base 11\nAnswer: 562a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33387, -33392, -33401, -33414, -33431, -33452, -33477?\n\"Answer: -2*f**2 + f - 33386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-9 + 9 - (1 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.882 + 0.118. Which is the nearest to 2? (a) n (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/15)\/(8\/(-10)). Let z = -104 - -726\/7. What is the nearest to 1 in -4, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 916005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/6)*l\/(l\/l**(-2\/7))*l*(l**(-2\/9)*l)**6 assuming l is positive.\nAnswer: l**(191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329639 is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351982 is divided by 1717?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**5\/25 + 13*j**4\/10 + 16*j**3 + 459*j**2\/5 + 243*j + 8037. What is f in p(f) = 0?\nAnswer: -9, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 876 and 208.\nAnswer: 45552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-12) + (-39)\/52 - -61. What is the highest common divisor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 19*g**2 - 5*g + 6. Let n be k(-3). Let z(l) = 341*l - n*l + 0 + 3. What are the prime factors of z(1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 - -25.34. Let t = j - 25.09. Let d = -58\/35 - -13\/7. Sort d, t, 0.1 in ascending order.\nAnswer: t, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2691*g**2 + 2*g + 805*g**2 - 2*g - 3501*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - -50)*104\/(-312)*6\/(-74)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 11. Suppose 3*q + 2*q = u. Suppose q*i + 29 = i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.144 and 1.704.\nAnswer: -0.245376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 43*c - 195. What is the remainder when i(5) is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15605, -29630, -43655, -57680, -71705, -85730?\nAnswer: -99755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v**2 - 5*v - 3. Let z be o(-1). Suppose z - 19 = t. Put 7, t, 0.15, 3 in ascending order.\nAnswer: t, 0.15, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**(-16)\/(y\/y**(-4)*y**4)*(y*y**4*y*y**2)**(-35) assuming y is positive.\nAnswer: y**(-883\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57908 by 1172.\nAnswer: -14477\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -136 and -23365391.\nAnswer: -23365527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 4*u + 4. Let m(z) = -8*z**2 - z. Let p be m(1). Let h be f(p). Let i = -46 - h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 9:55 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 128, 130, 122, 98, 52, -22?\n\"Answer: -z**3 + z**2 + 6*z + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {f: 5, k: 3, j: 7, r: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - -11)\/(0 - (-9)\/(-6)). Let w(b) = -76*b - 28. Let x be w(l). Suppose -5*y = -y - x. What are the prime factors of y?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 4. Let c(b) = b**2 - b - 5. Is c(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.108033 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159*f**3 + 96*f**3 - 2*f**2 - 24 + 5*f - 304*f**3 + 111*f**3 wrt f.\nAnswer: 372*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1951, 3918, 5933, 8020, 10203, 12506, 14953?\nAnswer: 17568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 964b (base 16) in base 2?\nAnswer: 1001011001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 3*i**3 + i**2 + 1 + 14*i**3 + 5*i**3. What is s(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 1)*(-4*i + i + 0*i)*(1 + 2 - 2).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5*(-359790)\/3759)\/((-26)\/91).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 13*m**2 + 2*m + 5. Let f be k(-13). Put f, 1, -1 in descending order.\nAnswer: 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.031 - -2.969. Let i = -0.3 + 0.7. Which is the second smallest value? (a) 2\/17 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((7 - 3 - 8) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {c: 2, s: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -81250*f**4 + 83875*f**3 + 1702480*f**2 + 270620*f + 10800 = 0.\nAnswer: -4, -2\/25, 135\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-7 - (5 - 12)) + -1 - 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**2 - 12*j + 36. Let n(g) = -20*g**2 + 37*g - 108. Let x(y) = -6*n(y) - 17*s(y). Is x(16) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -5*h - m - 5, h + 1 = 4*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + f + 3*f = 68, 0 = -2*f - 10. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 36.925. Let p = v + 0.075178. Round p to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Let u(l) = -2*l**2 - 1. Let a(p) = -p**2 - p - 1. Let i(d) = z*a(d) - 2*u(d). Let n = -7 + 10. What is i(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Let q(w) = -4*w - 3*w**2 + a*w. Let z(v) = -2*v. Let l(r) = 5*r. Let k(n) = 4*l(n) + 11*z(n). Determine q(k(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/9 and -13\/98900064.\nAnswer: 98900064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 780 and -0.0687.\nAnswer: -53.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 13*a. Let w be s(-13). Sort 3, -4, w in descending order.\nAnswer: 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -566.5 and 234?\nAnswer: 800.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g + 113*g - 14*g**2 + 16*g**2 to the form r + s*g**2 + t*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26877 and -245.\nAnswer: 6584865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/3 + 4\/((-204)\/221).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 809337*v - 809338.\nAnswer: (v - 1)*(v + 809338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -22. Let k = 5.9 - d. What is the nearest to k in 1, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94770599960 rounded to the nearest 1000000?\nAnswer: -94771000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s - 11*s = -5*s + 407 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - -537?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3124 and 18276962?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (200\/(-12))\/(1\/(-3)). Let x be ((-110)\/11*-9)\/((-3)\/(-15)). Calculate the greatest common divisor of x and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -44. Suppose -d = -n*y + 473, 2*y - 4*y + 2*d = -474. Suppose 4*g - y = -t - 2*t, 2*g = 10. 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: Multiply 72919 and 2.\nAnswer: 145838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/(-400))\/((-126)\/112) - 142\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 7*g**2 + 2*g. Suppose h - 40 = -4*u - 2*h, 0 = -u + 5*h - 13. Let p(d) = 0 - d + 5*d**2 - d**3 + 0. Determine u*p(q) + 5*v(q).\nAnswer: -2*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 17. Suppose 3*t - 2*h = -9, -2*t + a*t - h = 6. Let o be (2\/t)\/(4\/(-30)). Let r(s) = s**2 - 3*s + 3. Determine r(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 3*n - 2*n - 3*n + 4*n + n + (2 - 1 + 1)*(-3*n + n + 0*n) + 2 + n - 2 - 3 + n + 3 + (0*n + 4*n - n)*(2 - 7 + 9)*(2 - 2 + 2).\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21935193 or -21935192?\nAnswer: -21935192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 + (-2)\/(-4)*3. Solve 0 = -c - 2 - d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676415871?\nAnswer: 3, 75157319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-4) - 26\/(-104). Let r be (0 - 4)*(n + -12). Let h be (-2)\/r - 15\/(-40)*54. Calculate the greatest common factor of 30 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(28\/(-3) + 6 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2434*x = 2435*x + 62, -5*u - 2*x = -71 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + -46 + 7 + (-15 - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 4*v**2 - 4*v. Let f(n) be the second derivative of -n**4\/6 - 4*n. Give l(f(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85 (base 10) to base 16.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 2*o = 8*b + 2, 0 = -7*o - 42 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c + 9*c + 19*c + 9*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 97 = -35. Suppose 0 = 4*b + 11 - f. Suppose 3*c + 5*q = 16, b*q = -c - 1 + 3. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*w**4 - 16\/3*w**3 + 4*w**2 - 14\/3 + 16\/3*w = 0. Calculate w.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*n = a - 54, 35421*n - 35418*n - 26 = -a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 40 = 5*r, -77*r + 34*r = 3*m - 41*r - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(605) - sqrt(605)) + 0 + sqrt(605) + (sqrt(605) + -1 - sqrt(605)) + 3 + (4 + -3*sqrt(605))*5)**2.\nAnswer: -6776*sqrt(5) + 119064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u + 11 - 4*u - 11 - 2*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3451 - 3407. Calculate the greatest common divisor of 228 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 + 3*q + q**2 - 7*q - 3*q**3 + 4. Let z be (-2)\/8 + (-11)\/4. Let y(k) = -k**3 - k**2 + 3*k - 3. Determine z*f(a) - 4*y(a).\nAnswer: a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**4 + 10*h**3 - 80*h**2 - 160*h = 0.\nAnswer: -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 - 2155*m**2 + 8623*m - 8624.\nAnswer: -(m - 2)**2*(m + 8624)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(30))\/((sqrt(12)\/sqrt(2) + sqrt(6))*3)*2 - ((sqrt(125) - (sqrt(125) + sqrt(125) + 0)) + 3 + 2)*-1)**2.\nAnswer: -250*sqrt(5)\/3 + 3350\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.88 + -0.38. Let x be 0 + 1 - (-18)\/(-30). Put x, l, 4\/3 in decreasing order.\nAnswer: 4\/3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 1. Let l be r(4). Let s = 4 - l. Suppose m = p + 2, -3*m = 3*p - 1 + 13. What is the nearest to -2 in s, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30085 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 36. Suppose 47 = -3*g + 4*i, -i + 2 = 3. Let p be w(g). Solve -2*k + 0*h = -h + 12, 2*k = -p*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203203 (base 4) to base 3\nAnswer: -10010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 981, 3920, 8813, 15660?\n\"Answer: 977*j**2 + 8*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(119*a**3 + 117*a**3 - 231*a**3).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 - 2)*(-3 + 3 - 7*r)*(-r**2 - 3*r**2 + 5*r**2) as b*r**2 + c*r**3 + z*r + f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2109 - 2.0737. Round g to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25338629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 4*w - 34, -21641 = -3*i - w - 21590 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 5*f + 1. Let w be x(-4). Let a be 2\/3 + 35\/15. Suppose 3*i - y - 14 = -3*y, 0 = 2*i - a*y + 8. Put i, 5, w in descending order.\nAnswer: 5, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/8)\/o**(-4\/5))**(-39) assuming o is positive.\nAnswer: o**(-1053\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c - 100 = 0. Suppose 5*i = 5*a - c, i - 5 = a + 2*i. Suppose a = q + q - 10. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 - 6*a**2 + 5. Let l(y) = -y**3 - y**2 + 1. Give 6*l(x) - v(x).\nAnswer: x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**3 + 2*p**3 + 1 + 3*p**3 + p**2 in the form f + z*p + o*p**3 + k*p**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h**3 - 213965*h**2 + 249647*h + 463606 = 0 for h.\nAnswer: -35662, -1, 13\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - (-26)\/10. Let q(c) = -3*c - 1. Let r be q(-1). Suppose 0 = -r*p - 3*p + 10. Which is bigger: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 64*y + 56. Let p be c(-63). Let q(j) = -j**3 - 7*j**2 - 2*j + 7. Determine q(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 353 = -103. Suppose 0 = a + 4*m - 72, -4*a - 3*m = m - j. Let f = a + 54. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 105 - 425 = -4*k, -4*y + 58 = 50 for k.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 - (0 - 28\/4). Put l, 4, -5\/3 in decreasing order.\nAnswer: l, 4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1651678 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 2*c**3\/3 - 23. Let r(k) = -k + 35. Give r(h(z)).\nAnswer: -2*z**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0\/7)*(27 - 34).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*116\/(-58).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 - -0.36. Let o = -5.8 + -3.2. Let x = o - -8.7. Which is the biggest value? (a) x (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*h**2 - 65*b**3*h + 59*h**5 wrt h?\nAnswer: 2*b**3 + 1180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19494261.\nAnswer: 3, 2166029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - c5217?\nAnswer: -c521c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*w - 408 = -282, 4 - 3 = -7*w - 8 - 5 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 5, w: 2, h: 8}. What is prob of sequence cph?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -6.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/8)\/((-375)\/(-4800))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + c**2 + c + 5. Let z = 4 - 3. Let x be z\/6 + (-6)\/36. Let h be r(x). Solve 0*d + h*d - 12 = -3*f, -4*d + 4*f = -16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3494, 13733, 30740, 54539, 85154, 122609, 166928, 218135?\n\"Answer: 4*d**3 + 3360*d**2 + 131*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4815*l + 384903. What is u(-80)?\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -12*8*(-3)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -44. Suppose -u*g = -4*g. Suppose -2*s - 9 + 11 = g. Solve 0 = y + 3 - s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a + 102. Let c = a + 54. Suppose 0 = s + 4*s - 4*p - c, 2*s - 5*p = 8. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**5\/150 - o**4\/20 - 4*o**3\/15 - 2*o**2 + 5*o + 70. Let w(s) be the second derivative of t(s). Factor w(l).\nAnswer: 2*(l - 4)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1287 by 10085.\nAnswer: -1287\/10085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4940305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1, 3\/5, 87?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 1, w: 1, u: 1, p: 1}. Give prob of sequence pwu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**3*n**2*r - 1482*c**3*n - 6*c**3 + c**2*r - 51*c*n**2*r + 52*n**2*r wrt c.\nAnswer: -18*n**2*r - 8892*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.04 + 5.85. Let c = 55.46 + -55. Let t = c + i. Round t to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 7 + 6 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -2\/321?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 48 = -112. What is the remainder when (1365\/26 - 6)*2 is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*z + 700, -k = -2*z - 0*k + 280. Suppose -l = -5*l + z. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-5) + 1)*(-44)\/176?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.30708 months?\nAnswer: 0.077559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 3*a + w, 20 = -5*w + 30. Calculate the remainder when 402 is divided by a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 3 - 6*a**2 + 7*a**2 + a**2. What are the prime factors of r(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-528)\/2*1 + -3 + 2. Let c = -266 - g. Which is bigger: c or -3\/145?\nAnswer: -3\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 7*c**6\/10 - 12*c**5\/5 + 11*c**4\/4 - c**3 - 17*c + 16. Let l(m) be the first derivative of k(m). Factor l(q).\nAnswer: 3*q*(q - 1)**2*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 1. Let f(c) = 2*c - 2. Let y(d) = 2*d + 2. Let x be y(2). Let i be 25\/(-2) - (-3)\/x. Give i*g(w) - 5*f(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3928871 by -467.\nAnswer: -8413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 23.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**2 + 17*p**2 + 13*p**2 + 18*p**2 - 72*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*u + 75562 = 61663 for u.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58836 and -0.3?\nAnswer: 17650.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**2 + 23734028 - 23734028.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -116 - 7?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from vffbkbbmbbvbvbbbb?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -379 in -1\/3, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 7 + 37 - 10 - 20.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10\/13))**(-3\/19)\/(((c*c**(-25)\/c)\/c)\/(c**(-32\/5)*c)) assuming c is positive.\nAnswer: c**(25591\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -5. Let q be (f\/7)\/((-5)\/7). Factor -q*c**2 + 0 - 2\/5*c.\nAnswer: -2*c*(3*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*o + 5*a, -3*o + a + 12 = 0. Let j(g) = 3 + g + g**2 - 7 + o. Let d(k) = -k**3 + k**2 + 3*k. What is d(u) - j(u)?\nAnswer: -u**3 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 2. Suppose 22 = k*o - o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4 + (63\/18 - 1). What is the tens digit of (p\/(-3) - -1) + (-13940)\/(-51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -648, -1318, -2000, -2700, -3424, -4178?\nAnswer: -4968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3*t**2 + 1119*c**3 - 24*c**2*t**2 - 2*c*t**2 wrt t.\nAnswer: -2*c**3*t - 48*c**2*t - 4*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + 238\/(-22) + (-1866)\/(-22). Calculate the highest common factor of p and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a - 72 = 0. What is the highest common factor of 45 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2170988 is divided by 214?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760430?\nAnswer: 2, 5, 11, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 10628*m + 21240.\nAnswer: 4*(m - 2655)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1. Let u(z) = -6*z**3 + 8*z**2 + 3. Let c(t) = -3*r(t) - u(t). Find the third derivative of c(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5050 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/15773180 and 107\/47319540?\nAnswer: 47319540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21366891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-188)\/1598 + (-23)\/(-51). Solve a*t - 4\/3*t**3 + 0 - t**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62005620 divided by -10?\nAnswer: -6200562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-9)\/15 + (-1)\/(25\/(-5790))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:21 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(252) + 0 - sqrt(252) - sqrt(77)\/(sqrt(33)\/sqrt(3))) - ((-6*(sqrt(700) + 0) - sqrt(700)) + 1))**2.\nAnswer: -128*sqrt(7) + 28673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133\/2 + 65. Let r(o) = -3*o - 21. Let v be r(-7). Which is the third smallest value? (a) y (b) -2\/5 (c) 0.4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5\/2 + 165*o**4 + 3465*o**3\/2 + 6210*o**2 + 7290*o = 0.\nAnswer: -54, -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*h**2 + 0 + 2\/7*h**3 + 0*h = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10412\/3 + -31084\/9. Let f = -421\/18 + w. Suppose 0 = -34*v - 549 + 311. Is v at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12020.6774821 + 0.2074821. Let b = d - -12118. Let m = b - 96. What is m rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-172)\/(-28) + -6)\/((-5)\/(240\/6))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -145*v**9\/42 - 529*v**5\/30 + 519*v**2. Find the third derivative of s(i) wrt i.\nAnswer: -208800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) 0.1 (c) 1\/4 (d) -276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 4:29 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -437, -443, -449, -455, -461, -467?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 140 and -421737.\nAnswer: -59043180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2))**(4\/7)*((h\/h**2)\/h)\/((h*h*(h\/(h*(h*h**0*h*h)\/h))\/h)\/h)*h**(-5)*h**6\/h*h**2\/(h*h\/h**5) assuming h is positive.\nAnswer: h**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*b + 14, 0 = -f + 3*b + 18 - 2. Suppose 0 = c + f, -r + 9 = -5*c - 112. Does 29 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 46\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 1, o: 1, k: 13}. What is prob of picking 1 o, 1 k, and 1 a?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 61 (b) 1\/2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3056, 6096, 9136, 12176, 15216?\n\"Answer: 3040*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7888, 7797, 7558, 7099, 6348, 5233?\n\"Answer: -12*o**3 - 2*o**2 - o + 7903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -3) + 1\/1. What is the third derivative of 18*k**4 + 7*k**2 + 8*k**5 - 18*k**4 + k**p wrt k?\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -212*f**2 + 966*f + 968. Determine m(-1).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-45) + 1056\/220 - (4 + 2)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1291*m**2 + 69*m**6 - m**5 + m**5 + 1193*m**2 wrt m.\nAnswer: 8280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8557530 divided by 2852510?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19 - -14.19. Sort 2\/9, 3, x.\nAnswer: 2\/9, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/7))**(-36\/11)\/((x**14*x*x)\/(x*x\/((x\/(x*x**(-1))*x)\/x))) assuming x is positive.\nAnswer: x**(-1191\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.5 - -18227.\nAnswer: 18243.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3423240 (base 6) in base 5?\nAnswer: 21040113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)*x*x*x\/(x\/(x**(-15)\/x)))\/((x\/(x\/x**(-2)))\/x**13) assuming x is positive.\nAnswer: x**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/182*48\/9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in -0.3, -6, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 49. Let p = -19 + m. Suppose -11700016 = o - 4*k, -p*o - 23118424 - 23681564 = 3*k. Round o to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 9. Let w be r(-8). Let k be (-3 + 2)*w*-3. Solve -2*m = -4*p - 12, -p = 2*p + k*m + 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297694784 + -0.4\nAnswer: 297694783.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640137 to the power of 1\/2, to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/30 - a**4\/8 - 5*a**3\/6 + 47*a**2. Let l be w(4). Does 19 divide l\/(-4 + (-76)\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z**2 - 2280*z - 39*z**4 + 1 + 8*z**4 - 2*z**3 + 4568*z - 2286*z - z**4 to o*z**2 + d + j*z + x*z**4 + r*z**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 165*z = 162*z - 17, 3*z = -10*s + 53 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 11. Let j(f) = -f + 4. Let m(q) = -3*q**2 + 2*q + 6. Let k be m(4). Let d be (0 - -1)*2\/(-4)*k. Let p = -6 + 12. What is d*j(l) + p*y(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0241 + 0.0883. Let p = 0.0641486 - z. Round p to 6 decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-104)\/4*-1. Let h = p + -35. List the prime factors of (36\/30)\/((-4)\/h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/2041 and 63\/7841522?\nAnswer: 7841522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (-1 - (10 + -12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13984)\/165984*6\/(-23)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57015 + 2?\nAnswer: 57017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78818?\nAnswer: 2, 39409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 6, -9, -10.\nAnswer: -10, -9, -1\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c - 5*c)*(3*c**4 - 5*c**4 + c**4 + 0 - c**4 + 0 - 5*c**4 + 5*c**4 + c**4 + (2*c**4 - 2*c**4 + 2*c**4)*(0 + 1 - 2)).\nAnswer: 21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/50992150 and -133\/4002?\nAnswer: 152976450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2511 is divided by 1249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*x + r - 4, x = 3*r + 19. What is the remainder when 12 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*r - 32 = 0, -5*r = -3*w + 7*w - 41. Suppose 0*b - 44 = -w*b. Calculate the greatest common divisor of 55 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(3\/11))\/(g\/g**(10\/3)))\/(g**(-28)*g)**1 assuming g is positive.\nAnswer: g**(1010\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69014 or 69151?\nAnswer: 69014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 184 = -4*i, 3*i - h + 6*h = 134. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 33*f - 67. Let a be g(8). Let u be (-4)\/(-10)*(236 + -1). Let d = a - u. What are the prime factors of d?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 36*u - 40. Give t(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*k + 217*k = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + j + 6*j**2 - 12*j**2 + 4*j**2 + j**2 - 4*j**3 + 3*j**2 in the form n*j**2 + u*j + v*j**3 + z and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*t - 877*t + 215*t + 166*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 48 = 68. Suppose -y = 5*i, 0 = -5*l - 2*i + 1086 + 487. Let c = l + -205. What are the prime factors of c?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.2 (c) -547 (d) 0.3 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/295 at most as big as 0.02494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 197*g**5\/5 + 21*g**2\/2 + 204. Find the second derivative of x(m) wrt m.\nAnswer: 2364*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 3*a**2 + 4*a + 2. Let q(m) = 6*m**3 - 16*m**2 + 21*m + 11. Let s be (2\/(-5))\/(1\/5). Let v = 1 - s. Let f = 5 - v. Determine f*q(p) - 11*t(p).\nAnswer: p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*w - 320*w + 136 = -163*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*y = -6 + 2, -5*v = 4*y - 32. Suppose -v*z + z = 0. Suppose z = 2*s - s - 11. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111011111011111 (base 2) to base 12.\nAnswer: -121567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 4}. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/6 + 27464*z**2\/3 - 377135648*z\/3 = 0?\nAnswer: 0, 27464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1272, -1273, -1276, -1281, -1288?\nAnswer: -1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvydhhahvy. Give prob of picking 1 d and 1 v.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100380913*j*x**3 + 20*x**3 + 480*x**2 + 166 wrt j?\nAnswer: 100380913*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 9*i**2 - 5. Let v(r) = 8*r**2 + 3*r. Let a(d) = -7*d**2 - 2*d + 1. Let m(u) = 3*a(u) + 2*v(u). Let x = -97 - -93. Determine x*l(o) - 7*m(o).\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from cssusacccs.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.06703 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 332 - 89 = 0. Let n = 128 - w. Suppose n + 25 = 8*m. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 2680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1034\/(-14) - (-11)\/(-77). Let b(l) = l**3 + 2*l**2 + 6*l. Let f be b(-5). Let t = p - f. Solve -5*k - t = -11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*y**2 - 1337*y**2 - 163*y**2 - 3*y + 3*y.\nAnswer: -1907*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 94711125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-52)\/39*819\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134.754*2.\nAnswer: 269.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w - 2*w - w + (-17*w - 45*w + 9*w)*(-18 + 6 + 9))*(2*w**2 - 2*w**2 - w**2) to the form o*w**2 + f + p*w + i*w**3 and give i.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241 - 3613266?\nAnswer: -3613025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 34*z**2. Let u(b) = -b**2 - 3. What is u(d(a))?\nAnswer: -1156*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -32*t**3 - 2*t**2 - 17. Is o(-3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:47 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7963217t to nanograms.\nAnswer: 796321700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 4*y - 67 = 0, 18194*y = -5*n + 18191*y - 42 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48687451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5729 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t - 5 + 2*t - 1 + 3*t**2 - 3. What is the units digit of l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-1))**(1\/6))**(19\/6))**(-6\/7))**(-2\/63) assuming n is positive.\nAnswer: n**(-19\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-4) + ((-35)\/28 - -2). Solve -i*t - 15 = -23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*z + s + 2, -4*z = -5*s - 7. Solve -2*g - z*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*p**3 - 115*p**3 + 364*p**3 - 78*p**3.\nAnswer: 71*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 9, 5.\nAnswer: -1, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y**0*y))*y))\/(y*y*y**(-7\/4)*y*y))\/(y\/(y**0\/y))**(-13) assuming y is positive.\nAnswer: y**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**3 + 0*u**3 - 5*u**3 - 2 - 7*u**2 + 2*u**3 to the form q + y*u**2 + v*u + m*u**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1648616 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(117) + 5 - sqrt(117)) + (sqrt(117) + -1)*-3 + 5 + 6*(sqrt(117) + 0) + (0 + sqrt(117) - sqrt(117))*5)**2.\nAnswer: 180*sqrt(13) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + 230. Suppose -9*h - 4*h = -p. What is the highest common divisor of 180 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*f + u - 7, -3*f - 4*u = -26. Let c(s) = 4*s - 610. Let i(w) = -w**2 - 4*w + 914. Let a(y) = 3*c(y) + 2*i(y). What is a(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/4 of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.49 + -2.59. Let s = 3 + -5. What is the closest to -5 in n, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + l + 4 + ((10*l + 109*l - 30*l)*(3 + 3 - 1) + (2 - 2*l - 2)*(2 - 1 - 3) - 3*l + 3*l - 3*l)*(-1 + 3 + 0).\nAnswer: 893*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*b - c, 2*b - 2*c = 11546 - 11556 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179062 is divided by 29762.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, v: 2, x: 2, e: 2, s: 4}. Give prob of sequence xhx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r + 2. Let h be b(1). Let l = 28 + -40. Is 12 a factor of (l\/h)\/((-2)\/90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -533600 - -25?\nAnswer: -533553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 12259000 to the nearest one hundred thousand.\nAnswer: 12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -11*m**4\/2 - 39*m + 20. Differentiate c(p) wrt p.\nAnswer: -66*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2512270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and -28180.\nAnswer: -5072.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3870073428 rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooor when four letters picked without replacement from ooroooro.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + d + 25 = -4*d, 4*d = 2*j + 4. Which is bigger: j or -22\/7?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**2 - 8*o + 125. Let w(h) = 5*h**2 - 4*h + 63. Determine -6*v(k) + 14*w(k).\nAnswer: -2*k**2 - 8*k + 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 950 - 948. Let z = -14 - -22. Let f(n) = -n + 3. Let w be f(z). Which is the nearest to t? (a) -4 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*g = 400*g - 300. Let m(f) = 18*f + 5. Calculate the remainder when m(5) is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 16) to base 4.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 679 - 676. Let c(o) = -3*o + 2. Let v(a) = 3*a + 1. Let d(n) = 4 + 4*n - 4*n + 12*n + 1. Let w(x) = 6*d(x) - 26*v(x). Determine q*w(m) - 5*c(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 229412483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 6*m**3 + 66 + 54*m - 6 + m**3 + 8*m**3. What is the first derivative of g(k) wrt k?\nAnswer: 90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5966 + -5964. Let u = 4 - 1. What is the nearest to 2 in -0.1, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -12043230?\nAnswer: 12043240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/9, -2\/11, -0.1, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000182 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*f + 142*f - 279727 - 110845. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -193179, 5, 0.5 in descending order.\nAnswer: 5, 0.5, -193179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48a8b2 (base 15) in base 7?\nAnswer: 41364401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15810 and 3230.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8 = -l, 0 = -2*l - 4*r - 23 + 1. Let a(f) = f**2 + 6*f + 6. Let h be a(l). Let u(p) = 83*p**3 - p**2. What is the units digit of u(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -8462 - -8461. What is the second smallest value in s, 3, 155?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20749.\nAnswer: 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38496775 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27994 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (4158\/396)\/((-21)\/(-18)) and 51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2638, -4976, -7012, -8740, -10154, -11248, -12016, -12452?\n\"Answer: w**3 + 145*w**2 - 2780*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58936 divided by 754?\nAnswer: 29468\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5354 or -4991?\nAnswer: -4991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122110 (base 3) to base 9.\nAnswer: -2573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 2*a**2 + 2*a - 2. Let b be 2\/(-6) - (-26)\/6. Suppose -b*y + 5*j = -17 - 1, -4*y + 4 = 2*j. What is w(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 0 - 1\/105*n**7 - 23*n**2 + 0*n**3 - 1\/60*n**5 + 0*n**6 + 0*n + 0*n**4. What is the third derivative of t(r) wrt r?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4480144138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7053 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2217 - -2217. Sort 19, 2, v, -5, -1 in descending order.\nAnswer: 19, 2, v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 6 = 3*y, -b + 9 = 2*y. Let q = -302\/7 - -43. Let c = -11\/7 + 9\/7. What is the closest to 0 in q, c, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1015975694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l**2 - 13*l**2 - 6*l**2)*(-8 + 8 + 3*l**2)*(-3 + 1 + 4) + 3*l**4 - l**4 - 3*l**4 as x*l**3 + p*l + u*l**4 + d*l**2 + o and give u.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 56147280 + 370992825. Suppose 0*s - 3*j = -s - 20340009, 5*j - q = 3*s. What is s rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -830 (base 11) to base 15.\nAnswer: -46b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 13\/(156\/4216) - (-28)\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0702 + -0.0365. Let r = l - 0.3337. Which is the second smallest value? (a) 3 (b) r (c) 2\/229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 22 (b) -3 (c) -1086 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1178 and 21470?\nAnswer: 665570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-12) - 119\/3. Let v = 39 + t. Suppose -c - 6 + 68 = v. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -92, -142, -198, -260, -328?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q - 30*q + 40*q.\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55139 = 6272*h - 257870 - 251471 for h.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -769366, -1538704, -2308042, -3077380, -3846718?\n\"Answer: -769338*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/sqrt(176))\/sqrt(2))\/((sqrt(120)\/(sqrt(45) + sqrt(5)))\/sqrt(8)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwssswswwwwsswswsssw. Give prob of sequence wwsw.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26368 + -26153.29. Let m = -216 + r. What is m rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 1\/2, -0.3, 2, 0, -60.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96480.69 nanometers to micrometers.\nAnswer: 96.48069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:48 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 3. Let o be s(-5). Find the third derivative of -2*t**6 - 9*t**2 + 5*t**2 - o*t**6 wrt t.\nAnswer: -1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-732)\/(40*(-90)\/300)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 50428 = -2*s, -4*l = -0*s - 4*s + 100860. What is the greatest common divisor of s and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22071 - -2.145\nAnswer: -22068.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0107486 years?\nAnswer: 0.00107486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 61, -2, 4, -12, 132 in increasing order.\nAnswer: -12, -2, -1, 4, 61, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, and 2 c when four letters picked without replacement from {c: 4, i: 12, t: 4}.\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.41 - -17.\nAnswer: 11.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = -111. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*p*z**3 + 10*p*z + p + z**3 + z wrt z.\nAnswer: -180*p*z + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 4:29 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2369 and 6.9.\nAnswer: -16346.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-1617)*-14)\/((-3)\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 9, k: 6, h: 2}. What is prob of picking 2 g?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y**3 - 11*y**2. Let k be 6\/27 + (-75)\/(-27). Let z(o) = 5*o - 5*o - 4*o**k + 4*o**2. Suppose 0*h - 5*h - 40 = 0. What is h*z(x) - 3*p(x)?\nAnswer: -x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 149 and 894?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 20 = -2*g. Let w = -9 + 85. Suppose 0 = l + u - 5*u - w, -g*l + 304 = -u. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*q + 6, -3*q - 1 + 22 = -2*y. Let m(o) = 3*o + 2. Give m(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Let c(f) = -8*f - 2. Calculate g(c(n)).\nAnswer: 16*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 129. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331232332 (base 4) in base 5?\nAnswer: -31042422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 + 2*w + 4. Let m = -9 - -5. Let z be s(m). Let a = -1 + 7. Solve -a*u + z = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35.8 and -121332638810.\nAnswer: -121332638845.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 9. Let c be s(-7). Let f be (1 + (-15)\/c)*10. Suppose -f = -2*m + 205. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 - 2*k**2 + 3*k**2)*(305 + 161 + 20)*(3*k - 5*k - k**2 + 2*k**2) in the form x*k**3 + p*k**4 + n*k**2 + q + l*k and give p.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/2? (a) 6 (b) -0.1 (c) -0.2 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140256 (base 8) in base 4?\nAnswer: 30002232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3896 - -6281. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4 - 0. Suppose 11 = 2*v - p. What is the highest common divisor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:43 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47637.\nAnswer: 3, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -5, -4, 0, -3 in descending order.\nAnswer: 0, -3, -4, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247002 = -2477*o - 871206. Suppose v = -0*v. Sort o, v, -1, 1 in descending order.\nAnswer: 1, v, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 - 578 = -161*i + 39. Solve -5*p - 5*o + 9 = -1, -i*p - 40 = -5*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1674)\/90)\/(-31))\/((-3)\/135*1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456 divided by -462339.\nAnswer: -152\/154113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddyddddpddydddd. What is prob of sequence py?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4*h + 16, 6 - 2 = 2*h - 5*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20313620 a multiple of 1486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 1 - 3)*(2*o - 2*o - o**2) + (-1 - 2*o + 1)*(-1 + 1 + 10*o))*(4*o - o + o) as u + c*o + g*o**2 + s*o**3 and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**4 - d**4 + 5*d**4 + (-5 + 5 + d)*(0*d**3 - 2*d**3 + d**3)*(-2 + 7 - 4).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**2 - 1\/12*f**4 + 0 - 1\/6*f**3 + 0*f. List the prime factors of s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90022511.\nAnswer: 41, 2195671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 244 + -2285?\nAnswer: -2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*j - 6*v, -4*j - 3*v = 13. Let l be (-1)\/((-2)\/8458*j). Let r = -50653\/12 - l. Find the common denominator of r and 121\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 11*z + 11. Let m be y(-11). Let j = m - 6. Let c(v) = -v**3 + 64*v**2 - 126*v + 126. Let b be c(62). Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 + 12*c + 7. Let m be d(3). Let h be ((-63)\/(-84))\/(m\/(-152)). Calculate the greatest common divisor of h and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -312736 * -1.9.\nAnswer: 594198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21672 and 546444.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3535758812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 a, and 1 h when three letters picked without replacement from hhwhaawhhwwwwazwz.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -352\/2715 - 2\/543. Let s(y) = y**3 - 4*y**2 + y. Let u be s(4). Let n be u\/8*1*0. Are z and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72182 (base 9) in base 13?\nAnswer: -1883c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10385 + 21440. List the prime factors of t.\nAnswer: 3, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3*h + 3)*((2*h - 2*h - h)*(-5 + 4 + 3) - 4*h - 2*h + 5*h) to the form f + l*h**2 + k*h and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580 = -193844*u + 193864*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19557 + 20140. What is the least common multiple of 176 and s?\nAnswer: 9328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -8, -0.52, -3\/4, 32.8?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 5.9. Let i = -157 - -443\/3. Let x = i + 10. Which is the nearest to 0.1? (a) x (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p + 5 - 15*p + 9*p)*(18 - 26*p - 18).\nAnswer: -26*p**2 - 130*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 43 (c) -0.4 (d) -17 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17119206 divided by 2\nAnswer: -8559603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*d - 8 = -4*d, 5*d + 20 = 5*n. Solve -13*f + 11*f + 8 = n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*w - 7 - 9, -3*w = 2*o + 3. Let y(q) = o*q**2 - 2 + 187*q + q**3 + 3*q**2 - 179*q. What is y(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) - (-388)\/(-144). Let u = -16\/9 - i. Let x = -6.517 + 6.817. Which is the third biggest value? (a) -3 (b) u (c) -2\/19 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:21 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n**3 - 3*n**2 + 3*n - 2. Let d be x(2). Suppose 129*z - 125*z = d. Calculate the lowest common multiple of z and 44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 104.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1001)\/(-168) - -8 - (11 + -3)) + -6?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 + 47845\/525 + -18.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 1, u: 2}. What is prob of sequence uu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.23 (b) -0.2 (c) 0.5 (d) 2\/5 (e) 48 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 97 times 1981\nAnswer: 192157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -18*a**2 + 262*a + 108. Determine m(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 3*u + 2*u + (1 + 5 - 4)*(2 - 2 + 2*u) - 3*u + u + u - 717*u - 1763*u + 457*u - 1176*u to v + w*u and give w.\nAnswer: -3197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.2, -0.183, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 + 2*p + 4*p**4 + 42540*p**3 - 4*p - 42537*p**3 + 2 to j*p**3 + k + s*p**2 + t*p + m*p**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 23 = o + 2*t, 3*o - 17 = 2*t. Let b = -4 - -7. Let a be 1\/b - o\/9. Solve a*d - 3*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1317148 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2401774 to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 4903928 - 4903928.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(-3\/5)*h*h**(-5)*((h*h**(2\/3)\/h)\/h)**(-5\/7) assuming h is positive.\nAnswer: h**(-248\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r - 14 + 36. Find the second derivative of -c**3 + 75*c - 14*c**r - c**4 + c**3 + 4*c**3 - 4*c**3 wrt c.\nAnswer: -12*c**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.29 - -0.71. Let x = 1.94 + 0.06. Let z = x - q. Which is the biggest value? (a) z (b) -5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15364899 - 23098?\nAnswer: -15387997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8718 + 8715. Suppose -4*i + 3*g = 5 - 20, -g = 3*i - 8. Which is the third biggest value? (a) 4 (b) k (c) 0.83 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94990843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 718528129 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5211416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zubu when four letters picked without replacement from {u: 4, z: 1, b: 6, h: 3}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5740 and 560?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-420)*2*-4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 3 + -2 + -4)**2.\nAnswer: -66*sqrt(17) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534016, -534007, -533984, -533941, -533872?\nAnswer: -533771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 7*u + 4*u + 374*u**2 + 7 - 2*u.\nAnswer: 374*u**2 - u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 9\/6)*-6. Let k = x - 2. Is (0\/(-2) - k)*-38 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-16)\/f**(-42) assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -42278 divided by -1\nAnswer: 42278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7 + 15 = 0. Let t be 83*1\/l + (16 - 15). Let p = 41 - t. Is p != -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26*1\/(-52))\/(2\/337). Is i less than 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyfxyyfylfl. Give prob of sequence llf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -537412+-28\nAnswer: -537440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 4729088?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) - (sqrt(204) + 1*(sqrt(204) + sqrt(204)*1))))\/(sqrt(48)*1).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10611\/21 - -5) + 2\/(-7). Suppose -2*q + a = -7*q + v, 5*q = 3*a + 530. List the prime factors of q.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9254 divided by -1\nAnswer: -9254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -79 (b) -2\/15 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.2991913 to three decimal places.\nAnswer: -39.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11623 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 31\/9 (b) 0.01 (c) 2\/3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4340, 9.\nAnswer: -1, 9, 4340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10752031 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -70212 (b) 24 (c) 2\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*o**3 + 34*o**3 + 97*o**3 + 73*o**3 - 88*o**3.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/6)\/((-3)\/(-270)). Solve 39*i = o*i - 48 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5\/3 + 2*n**4 - 22*n**3\/3 - 2*n**2 + 20*n\/3 = 0.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(((-3)\/(-122))\/(-12*(-12)\/(-48)))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 40 = -0*c. What is the least common multiple of c and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -342276 - -4.4.\nAnswer: -342271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 3*x + 7*x - 7*x + 1 to the form c + u*x and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3458866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 13 + -1 + -15 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/5)\/(2\/45). Let w be (x\/12)\/((-3)\/4). Let h be 2*3*w\/6. Solve h*g + 2 - 12 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28384493?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1184\/128)\/(-37))\/((-1)\/(-1))*260\/(-45).\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30432\/17 - -1790. Which is the third biggest value? (a) -4 (b) 1\/7 (c) o (d) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 80. Let j = h + -36.000002. Round j to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by 2?\nAnswer: -147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18) - 152\/36. Is (-898)\/(-2)*(-3 - j - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000079162787 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245969345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22 + (-4 - (-4)\/2). Let r be ((-48)\/28)\/(4\/(-14)). Let v = y - r. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3 - 87*z**2 - 84*z = 0.\nAnswer: -28, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12315 - -136245?\nAnswer: 151563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 131000322 (base 4) to base 7\nAnswer: 1003323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*w**3 + 165*w - 165*w - 2)*(-2*w - w + w + 2*w + 0 + 0 + (1 + 0 + 1)*(0*w - 2*w + 0*w)).\nAnswer: -132*w**4 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*k - 0. Let q(p) be the first derivative of -p**4\/4 - p**2\/2 - 3. Let l(y) = -4*y**3 - 7*y**2 - 9*y + 8. Let x(o) = k*l(o) + 3*q(o). Give x(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162)*4)**2.\nAnswer: -72*sqrt(2) + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3))**(-4\/5)\/(v**(-2\/7)*v**5) assuming v is positive.\nAnswer: v**(-467\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -6*x. Solve -z = -x*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2850 and 2019?\nAnswer: 1918050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 9)\/3*33\/(-9). Let t(h) = -524*h + 19. Let m be t(z). What is the units digit of (-3 - m\/27) + (-10)\/(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166 and 3216?\nAnswer: 266928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5680 and 710?\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69770 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-33)*(-6)\/(-15)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9.36*414\nAnswer: -3875.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + z - 79*d + 28 = -77*d, -2*z + 3*d - 1 = -15 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*c - 988 - 1376, -4*a - c + 9508 = 0. What is the highest common divisor of 48 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)\/(29 - 1161\/36).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4000 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138763397 is divided by 46254461?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/6*12\/(-15)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4492775, 8985553, 13478331, 17971109?\nAnswer: 22463887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37854 + 107555. Let v be (-3 - r\/(-2))*628. Suppose v = -c + 5084230. What is c rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 49 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21826937 and 2582?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5871626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Suppose -2*d = -2*b - 4, 0 = -d - b + 4*b. Suppose w + w + 5*z = 27, 0 = -w + d*z - f. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895.\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5 + 11918*g**4 - 191110*g**3 + 538074*g**2 + 1935900*g = 0. What is g?\nAnswer: -5975, -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-15)\/s**(-4\/7) assuming s is positive.\nAnswer: s**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*s + 1183. Suppose 2*r - 3*r = u + s, -r = -3*u + 149. Find the common denominator of -85\/14 and 4\/(-3)*r\/(-96).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 126056130*r + 794507395528845.\nAnswer: 5*(r + 12605613)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -19. Let r = w - -25. What is the remainder when 14 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f = -20*f - 5124. What are the prime factors of f?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + y**2 - y + 1. Let r(n) be the second derivative of -15*n - 2 + 1\/5*n**5 + 1\/2*n**4 + 3*n**2 - 1\/3*n**3. Calculate 6*i(o) - r(o).\nAnswer: 2*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -821*b**3\/6 + 36*b**2 + 397*b. Differentiate w(g) with respect to g.\nAnswer: -821","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 15. Let r be 0\/(-1 + 1 + -3). Let q be n(r). Solve 2*j + q = -6*i + i, 3*i = -4*j - 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 + 32*x - 8. Let w(o) = 7*o**2 - 63*o + 15. Let q(u) = 5*i(u) + 3*w(u). Let z be q(29). Solve 2*d + j + z = -0, 5*j = 3*d - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54*v + 3*v**4 + 54*v)*(7 - 4 + 0) to w*v**2 + c*v**4 + f*v**3 + z + o*v and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/140*(20 - -1). Solve 30 = n*v + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-9)\/6) - 1. Solve -3*v + 7*v = 3*z + 31, -g = -4*v - 3*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 11:16 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 205\/(-246) - (-12430)\/12 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 3*o + 16. Give f(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13115717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -27*n**2 + 175*n + 7. What is j(6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6\/11))**(2\/111)*k*k*k**(-2\/11)*k**20*k*k*k*k)**(-5) assuming k is positive.\nAnswer: k**(-52520\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.2, -55, 8, 2\/7?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45345263 (base 8) to base 15.\nAnswer: -cdda05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 43659*y\/4.\nAnswer: y*(y - 43659)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5 - 1 - 13*c + 6*c**2 - 7*c**2. Let o be s(-10). Let y = -19 + o. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1581 and 617241.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 2 m when four letters picked without replacement from vjmjjhjrmh?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4268614 is divided by 100.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1629 and 70407.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {f: 3, d: 1, z: 1, y: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 913.9714 litres in millilitres?\nAnswer: 913971.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 a factor of 21980558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 60711?\nAnswer: 242844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 499, 607, 725, 859, 1015, 1199?\nAnswer: 1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100\/7 - 17590\/7*p - 7024\/7*p**2 - 702\/7*p**3.\nAnswer: -2*(p + 5)**2*(351*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 3. Let q(x) = -4*x + 499. Give -q(s) - 3*t(s).\nAnswer: -2*s - 490","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -397 - -2315. Suppose -15*j = -4157 - h. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-15))\/((-2)\/(-12)). Let i = n + -2. Let v(f) = 2*f**2 - 3*f + 3. Calculate v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - y - 66*y**2 - 4 + 60*y**2 + 4*y in the form n*y + t + b*y**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1018748 and -47\/4112.\nAnswer: 4074992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c + 8*c - 9*c as n + v*c and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.2 + -6.42. Let s = n + 1.3. Let r be (6\/15)\/((-2)\/(-10)). Is s > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1032306726 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (1068 - 5\/(-5)) + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 + 16. Let r = 85 + n. Solve -5*q + 2*u = r*u - 10, -5*u = 4*q - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10669226.\nAnswer: 2, 181, 29473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2695))\/(sqrt(396)*3 + sqrt(11)))**2.\nAnswer: 980\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.42 plus 820?\nAnswer: 795.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11323 + 195*j**3 - 11323 + 283*j - 334*j to q + g*j**2 + h*j + c*j**3 and give h.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -2\/11, 12, -161.\nAnswer: -161, -2\/11, -0.04, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-2\/35)*v))\/v)\/(v*v*v**(-2\/29)*v*v))\/(v\/(v*(v\/v**(-4\/9))\/v))**50 assuming v is positive.\nAnswer: v**(158477\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 367*m*o**5 + 4445*m*o**2 + 2*m*o - 2*m - 75142*o**6 - o**2 - 732*o - 2 wrt o.\nAnswer: 22020*m*o**2 - 9017040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -3a45438b?\nAnswer: -3a454393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2341ba + 4?\nAnswer: -2341b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d\/((((d**5*d)\/d*d)\/d)\/d))\/d)\/d*(d*d**(-2\/7))\/d*d**(4\/7)\/d**(-1\/3) assuming d is positive.\nAnswer: d**(-29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) + 1\/(-2). Let d = -7229 + 7234. Suppose a = -d*m - 5*c + 705, -2 = 2*c - 4. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(2\/9)*x*x)\/x))\/x**13*(x*x**(2\/15))\/x**(-1\/19) assuming x is positive.\nAnswer: x**(-10291\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d - 2*d)*((3 - 5*d**2 - 3)*(-3*d - d**2 + 3*d) - 7*d**4 - 3*d + 3*d).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -206 (b) -3980 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-10)\/(-6) + -3). Suppose 0 = 5*y + 5*h + 5, 3*y - o*h + 0*h - 4 = 0. Solve -w = -y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191*m**3 - 253 wrt m.\nAnswer: 573*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164\/9 greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3060 divided by 60\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 259 = -0*y - d, 0 = 2*y + 2*d - 134. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, 4, -109, -163 in increasing order.\nAnswer: -163, -109, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 4, -5, 1, 313, -3 in ascending order.\nAnswer: -146, -5, -3, 1, 4, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -93, -126, -143, -138, -105?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -10. Let u(c) = -6*c - 55. Let q be u(l). Suppose -7*n = -q*n - 118. What is the remainder when n is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14379850081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*q - 26, 2*q + j = 3 + 7. Let r be 1 - (1 - q) - 0. Let t = -3 + r. Let x(w) = w**2 - 2*w - 3. Determine x(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (10 - 10) + 4 + 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12309.88 + 4.\nAnswer: -12305.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**3 + 14*h**3 + 3*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 10*l + 1. Calculate the least common multiple of a(-9) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/26838 and -143\/4260.\nAnswer: 268380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-226440)\/1360*14\/(-21)*(-2)\/(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 0)**2 - sqrt(76) - (sqrt(931) + -1)**2.\nAnswer: -856 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 89. Solve -4 = 5*u + 3*x + y, -5 = -u - 2*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-470)\/(-90) + -2 - (-4)\/(-18). Let q(r) = 61*r - 180. Let d be q(b). Suppose 2\/3*p**2 + 2\/9 + 2\/9*p**d + 2\/3*p = 0. Calculate p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.186 + -11.886. Let t = -102.823 - -91.07. Let q = v - t. What is q rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 539b0 - 65?\nAnswer: 53947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*2 + 0 - (-4 + -2*sqrt(7)).\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3833164238 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 - w**2\/2 - 4*w - 1. Let y be k(3). Let i(j) = 10*j**2 - 2*j + 1. Let s be i(y). Round s to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*(sqrt(117) + 1) - sqrt(117))**2 - sqrt(78)\/(sqrt(600)*-6)).\nAnswer: 721*sqrt(13)\/60 + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let h(l) = -19*l + 5*l + 10*l. Calculate h(u(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(108) + (-1*sqrt(405) + sqrt(405))**2.\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s - 8. Let v be w(0). Let h be v\/44 - (-105)\/33. List the prime factors of 44\/(3 - h - -2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 62394*w**2. Let y(v) = -3*v**2. Determine y(f(c)).\nAnswer: -11679033708*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3 + sqrt(363))*-4)**2 - (sqrt(18)\/(sqrt(54)\/sqrt(9)) - (-2 + sqrt(3) + sqrt(3) + 2)).\nAnswer: -1231*sqrt(3) + 6004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2941311, -5882628, -8823945, -11765262, -14706579?\n\"Answer: -2941317*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87, -172, -257?\n\"Answer: -85*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*r + 41327, -4*r + 7*r - 4*d - 30989 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.9074 and 328.\nAnswer: 3905.6272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.402305 rounded to 3 decimal places?\nAnswer: -0.402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 3*j**2 + 8*j - 3. Give k(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79156 and 748?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275615.2 days to nanoseconds.\nAnswer: 23813153280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u - 3*m + 41, -4*u + 148 = 4*m. Suppose 0 = u*t - 38*t + 68. What is the remainder when 101 is divided by t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e3bed6 (base 15) in base 8?\nAnswer: -51223661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 - 2 = 0. Let g = -8 - s. List the prime factors of 2\/g*(5 + 19).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441089942.\nAnswer: 2, 1720544971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*y - 6461 = 3004 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 8*m**2 - 8*m + 9. Let z be k(-9). Let r = -7 - -5. Let u = 3 + r. What is the closest to z in u, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -540058820 rounded to the nearest one million?\nAnswer: -540000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 30*f - 103. Let t be p(12). Suppose 2958 = -t*o + 263*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33b4f + 4?\nAnswer: -33b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2923, -7952, -15119, -24418, -35843, -49388?\n\"Answer: y**3 - 1075*y**2 - 1811*y - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1468 * -1.\nAnswer: -1468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8847*i**2*l**3 + 6*i**2*l**2 - 458*i + l**3 + 26*l**2 wrt i.\nAnswer: 17694*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19359402.8 rounded to the nearest 10000?\nAnswer: -19360000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 9918.29 + -10000. Let v = l - 0.29. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**3 + 4*g + 4. Let r(m) be the first derivative of 3*m**4\/2 - 5*m**2\/2 - 5*m + 75. Let n be 22\/4 - 6\/4. Determine n*r(v) + 5*u(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 626461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 r when three letters picked without replacement from {v: 1, r: 2, s: 1, q: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12374*c**4 + 3*c**2 + 129*c + 80111132 wrt c.\nAnswer: -49496*c**3 + 6*c + 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 139*s**3*w - s**3 + 11764*s**2*w + 1457*s**2 - 587*s wrt w?\nAnswer: 139*s**3 + 11764*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -319a4 (base 11) in base 5?\nAnswer: -2441312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38444014?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 16*o**2 - 42*o + 675. Determine a(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from vttjjtjjjvjjvjjjjjjt?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9014735, -18029471, -27044207, -36058943?\n\"Answer: -9014736*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -40*s**3 - 8*s**2 - 18*s - 11. Let k be a(-1). Let g(x) be the third derivative of 0 + 1\/150*x**5 + 1\/60*x**4 + k*x**2 + 0*x**3 + 0*x. Factor g(r).\nAnswer: 2*r*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11764 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l**2 + 91*l + 694. Does 26 divide m(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 92*p + 4939. Give j(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3380 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(325)*1 + sqrt(325)))**2.\nAnswer: 2160*sqrt(13) + 47124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -287 + 267. What is the common denominator of (55\/u)\/((-12)\/30) and -75\/34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 2*b**4 - 4*b**2 - b**2 + 3*b**2 + 14*b to the form g + x*b + s*b**2 + i*b**4 + k*b**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-132)\/30)\/(20\/(-63100)).\nAnswer: 2, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -8. Suppose -100 = -c*l - 3*l. Find the second derivative of 5*q**4 + l*q - 9*q - 9*q wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*w - z - 20, 4*w + 4*z + 16 = 0. Suppose -3*y + 98 = 5*u, -2*y + w*u = 4*u - 68. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 488 - 164. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12221022132 - -20?\nAnswer: -12221022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 919, 2136, 3837, 6022?\nAnswer: 8691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(700) + 2 + -4 - sqrt(700))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-1 - (-7 - 1)). Let k(i) = 4*i**2 - 8*i + 2. Let a(z) = -11*z**2 + 23*z - 6. Let y(g) = v*a(g) - 17*k(g). Let u be 1 + -5 + 1 + 1. Give y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 649*u*z**2 + 1903*z**2 wrt u.\nAnswer: 649*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - (2 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 99 = 39. Let t be (-2)\/(-15) + 5 + 77\/b. Suppose 2*r = -t*r + 282. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 13. Let g be i(-9). Suppose 3*j - 3*w = -6*w - 12, 2*j + g*w + 14 = 0. What is the third smallest value in 2\/5, j, 1\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ahrharrrahr.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5235, 3071, 11377, 19683, 27989, 36295?\n\"Answer: 8306*q - 13541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a tonne in kilograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3551364)\/(-30510))\/((-6)\/(-5))\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/96 and 83\/54.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6679 divided by -1618?\nAnswer: 6679\/1618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/12 - 18\/(-8). Is g\/4*(3 - -103) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -4\/3 (c) -8 (d) -1 (e) -200\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21174 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283381\/54261 + 2\/6029. What is the common denominator of q and 22*(-18)\/48*(-1 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3201 * 28758\nAnswer: -92054358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y**2 + 2*y - y**3 - 4*y**2 + 3 + 2 - 7. Let j be p(6). Let h = j - -2. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*4*(-3)\/9*-15\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13050 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013105 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*(5 + (-318)\/60)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624415 divided by -56765?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, 5, -1 in descending order.\nAnswer: 5, 4, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 12, -6, -8 in descending order.\nAnswer: 12, -3, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 6*q + 2. Determine u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3\/3 + 11*o**2\/2 + 20*o + 1289. Calculate r(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let p be 10\/66*3*(-20)\/50. Suppose -5*l = 5, -5*o - 5 = -2*l - 2. What is the biggest value in o, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 8. Let b(y) = 163*y + 2. Determine b(r(o)).\nAnswer: 163*o - 1302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -4. Let y(v) = -3*v - 5. Let j be y(x). Suppose j = 3*q + 2*r - 1, -2*r = 5*q - 22. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 116 = -2*u. Let b = 72 - u. Calculate the greatest common factor of b and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -77*v**3 + 15*v**2 - 2*v + 37. Let g(o) = 115*o**3 - 23*o**2 + 3*o - 52. Determine 5*g(h) + 7*x(h).\nAnswer: 36*h**3 - 10*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33188435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjydycjeyhcjcc. Give prob of picking 1 h, 1 y, and 2 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 379*m**2 - 50*m + 472. Let j(q) = q**2 - 13*q + 2. Let y(p) = i(p) - 4*j(p). What is the second derivative of y(l) wrt l?\nAnswer: 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15415*z + 16263*z + 49184 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20876558 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11830.037 - -11820. Let f = -10 - j. What is f rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -21. Which is the second biggest value? (a) 43 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1571.24 + -261521.8993\nAnswer: -263093.1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 32 = 5. Suppose 6*z = 3*z + q. Suppose -2*b = z*b - 10. Solve -3*r - 25 = b*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 1. Let h be z(1). Suppose -h*c - 4*a = 0, 3*c - 3*a + 6 - 33 = 0. Solve 0*k = 2*k + c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*h + 3 + 3 = 0, -2*h - 6 = 0. Let p(z) = z**2 + 7*z - 1. Let x be p(q). What is the tens digit of (-75)\/6*2*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/38, 2, 2\/429?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 1. Let w(l) = -3*l - 3. What is 5*k(p) + 2*w(p)?\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 + 18. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.806+660088\nAnswer: 660088.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-26)\/4)*(-1146)\/(-955). Let m(j) = -j**3 - 9*j**2 + 2*j + 20. Calculate the remainder when 11 is divided by m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.54 and -0.81?\nAnswer: 7.7274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 + 129. Let i(x) = 3*x**2 - 5*x - 1. Let a be i(h). Suppose -40 = 6*l - a*l. Solve -2*n = n - 4*o + l, o - 13 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 5444*w - 22739360 = 0. What is w?\nAnswer: -1799, 3160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -136470000 to the nearest 1000000.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:44 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 118*q**3 + 4*q**2 - 5*q + 13. What are the prime factors of r(2)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 6, d: 3, n: 8}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16254)\/(-35) - (-26)\/(-65). What is the greatest common factor of x and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z*z*(z\/(z**(-3\/8)*z)*z)\/z)\/z)\/z*z)\/z**(6\/25) assuming z is positive.\nAnswer: z**(427\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*q - 4*q + 2*q + (0*q + 4*q + 0*q)*(-6 + 8 + 5))*(-4*q + 3*q + 3*q) as d + i*q + t*q**2 and give t.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 4 + 50*j**3 - 8 + 26.\nAnswer: 50*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.02 + -0.02. Let k = -13.6 + 9.6. Let q = -1 + 1.4. Which is the nearest to n? (a) 0.3 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 385\/63)*783\/(-12)*4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/13 or -812?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-44)\/10 - 6\/(-15). Sort -2, 4, 3, t in decreasing order.\nAnswer: 4, 3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1872) + 0 + 0)*3 + (-1 + sqrt(1872)*-1*-3)*5.\nAnswer: -5 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -4 + -1 + 10 + 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + m**2 + m - 1. Let t be (-3 - -8) + -2 - -2. Let f(o) = 6*o**3 + 9*o**2 - 2*o. Let v(q) = t*g(q) - f(q). Is v(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1521, 1483, 1301, 927, 313, -589, -1827?\nAnswer: -3449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.601 + -0.399. Let f = 53.4 + p. Let g = -1252\/7969 + 2\/613. Which is the nearest to 1? (a) f (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11818 divided by 311.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366732 is divided by 183365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004663 to four dps.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27117 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*m - 10512 = 0, -t + 5*m + 1574 + 541 = 0. Suppose x + t = 2*x. Suppose 0 = 2*p + 3*p + x. What is p rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -22*j - 2 + 2 + 23*j + 4*j. Let n(y) be the second derivative of -7*y**4\/12 + 3*y. Calculate g(n(m)).\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189473 is divided by 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 25, -1, -4, -5, 5.\nAnswer: -5, -4, -1, 5, 25, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - 46 - 21*w**2 - w + 20*w**2 + 22 + 23. Let k be -1*2*2\/4. Give n(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -14?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33604, -33617, -33630, -33643?\n\"Answer: -13*q - 33591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpffffppo. Give prob of picking 2 f.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r - 2. Let t be j(-1). Let a(f) be the third derivative of 0*f - 1\/9*f**t - 1\/18*f**4 + 0 - 3*f**2 - 1\/90*f**5. Factor a(p).\nAnswer: -2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 897*s**2 - 447*s**2 - 449*s**2 - 22*s to z*s + a + f*s**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.69 or 9\/7?\nAnswer: -18.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13945, 0.3 in descending order.\nAnswer: 13945, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*r = 29465 - 19337 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -342.8375 rounded to the nearest integer?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 280879, 280908, 280973, 281086, 281259, 281504?\n\"Answer: 2*s**3 + 6*s**2 - 3*s + 280874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/9)\/p)**(-2\/35))**(3\/13)*(p**(-3)\/((p**(-5)*p)\/p))\/((p**1*p)\/p)**(-1\/40) assuming p is positive.\nAnswer: p**(635\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2862412327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 17*x - 25.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283 is divided by 404?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {v: 4, u: 2, n: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csbbsssbccsybbjsejeb. Give prob of sequence cjss.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/38)\/(38\/(-38)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*m - 32. Let d be (-18)\/15*(-5)\/m*-4. Solve -2*r - 13 = -d*w + 7, -3 = 3*w + 3*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 2955634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6578*q - 1856 = 6671*q - 13185*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 13 - 3 = 0. Suppose u*d + f = -1, 4*f - 22 + 5 = d. Let g(l) = -4*l**3 + l**2 - 3*l**3 + 4*l**3. Calculate g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 2*y + 2 + 0*y**2 + y**2. Let k be h(-4). Let c(i) = -2*i**2 - 11. Let l(z) = -z**2 - 6. Calculate k*c(x) - 11*l(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -2)\/(-3 + 4). Let d = x - -3. Suppose 0 = -d*r + 60 + 66. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*0.1\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 19052, -6, 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 2*r**2 + 4*r - 1. Let a be y(3). Suppose a*q - 69 = -q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 36*j - 308. Give z(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (23 + -21)\/((-1)\/113*2). Let h = 129 + y. Let w be 10\/2 + h\/(-4) + 3. Let g(r) = -r**3 + 4*r**2 + 2*r. What is g(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*88211103\nAnswer: -441055515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22672, -83, -16, 2 in ascending order.\nAnswer: -83, -16, 2, 22672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -0.08 (b) -1 (c) 10\/9 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69*c**2 - 32 + 32 - c + c - 2*c**2 + (1 - c - 1)*(4*c - 2*c + 0*c) + c**2 + 0*c**2 + 2*c**2.\nAnswer: 68*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 9*v**2 - 7*v - 7. Let y be b(2). Which is greater: 1\/1264 or y?\nAnswer: 1\/1264","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3111\/4)\/3 - 12\/(-16).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**3 + 4*c**2 - 2*c + 1315. Let t(k) = -3*k**3 + 2*k**2 - k. What is -f(a) + 2*t(a)?\nAnswer: 2*a**3 - 1315","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/160995 and 2\/418587.\nAnswer: 2092935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 98.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 7*t**2 - 7*t + 6. Suppose -2 = -0*l - l. Let j be l + -5 + 11 + -2. Let v be h(j). Solve v*m = m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.28133 - -1.201. Let j = 0.2 - 0.12. Let w = j + h. What is w rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/162 and 50\/27?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1308\/60*75\/5. What is the greatest common factor of o and 45453?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27171 = 3*y + 2*x, -5*y - 4*x + 30132 + 15149 = 0. What is the thousands digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1972013, 1972012, 1972011, 1972010, 1972009, 1972008?\n\"Answer: -f + 1972014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/72 in -0.4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 44 times -3462\nAnswer: -152328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = -3*t, x + 2*t = 3 + 6. Sort -0.3, -3\/8, x in descending order.\nAnswer: x, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxxevwvvv. Give prob of sequence ev.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mavv when four letters picked without replacement from iamvvwb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37830, 302478, 1020808, 2419662, 4725882, 8166310?\nAnswer: 12967788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 30. Suppose -6*j + g = -3*j. Suppose 5*x + q = 105, j*q + 3 + 39 = 2*x. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466758.8 rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5033 rounded to two dps?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6.1. Let r = o + -0.5. Which is the nearest to -2? (a) -4\/5 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 1. Let v be (-205)\/2*(-24)\/30. Suppose 5*n - 42*t - 402 = -45*t, -238 = -3*n - 5*t. Let i = n - v. Calculate q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let p(o) = -2*o - 55. Calculate p(t(z)).\nAnswer: -2*z - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-224)\/98 - (-2)\/7. Let b be x\/(-7) - 48\/(-28). Suppose u = b*u - 4. Solve 0 = -4*o + v - u*v + 8, 4*o - 2*v = -12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*l - 4, -2*g + l + 44 = -3*l. Suppose g = -7*a + 11*a. Solve -3*n = -15, a*r + 2*n = 7*n - 28 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/16*720\/(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 5 - 5)*(1 - 4 + 5)*(-4 - 2 + 3)*(-4 - 2 + 2)*(-2 + 0 - 2).\nAnswer: 96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.206 minus 178.719056?\nAnswer: -178.925056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + 3 + 4 - (sqrt(684) + -2*sqrt(684))*3 - (2*(6*(1 + sqrt(684)) - (sqrt(684) + -3*sqrt(684)*-2)))**2.\nAnswer: -2873 + 312*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541*k + 278*k - 838738 = -292*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 2, g: 1, k: 3, e: 3}. What is prob of sequence kog?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**4 - 1550*m**3 - 1775*m**2 + 68900*m - 149280 = 0.\nAnswer: -8, 3, 4, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68580 and 38340.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*n + 2*n**3 - 5 - 2*n**3 - 2*n**3 to the form j + g*n**3 + q*n**2 + d*n and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 + 0)*(9*h**2 + 16*h**2 - 14*h**2) in the form t*h + l + f*h**2 and give f.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3277, 6897, 10517?\nAnswer: 14137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**4 + 0*s**4 - s**4)*(-4 + 5 + 3).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21*-1*199\/597. Let t(j) = j - 15. Let a(r) = -2*r + 15. Let q(b) = 3*a(b) + 4*t(b). Give q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1382.2 + 1382. What is the closest to k in 1\/15, -5, -8\/11?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-18)*((36\/15)\/3)\/(2892\/(-7230)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3, 1, -7, -0.5 in decreasing order.\nAnswer: 1, -0.5, -3, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asls when four letters picked without replacement from {a: 2, s: 3, o: 3, p: 3, l: 2}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opz when three letters picked without replacement from {p: 7, o: 4, z: 2}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*u - 9520 = 149*u. List the prime factors of u.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*y - 162*y - 1472 = 0 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-780)\/585)\/(52\/(-1833)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -869858 (base 13) to base 6.\nAnswer: -151443032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3596 + 3596 + 11*h**2 to the form n*h + z + r*h**2 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63, -71, -79, -87?\n\"Answer: -8*x - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -64. Let d be (-1)\/(-3) + (-96)\/(-9). Solve i = -3*o - d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -0.04, -5.339?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(18\/14) + 7 + (-2 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/5, -5, -32, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161\/655 or 0?\nAnswer: 161\/655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294784 is divided by 200?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/36 and -27\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = d + 2, 33*d - 38*d = -4*b + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49630936447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9154 - -10148. Is 41 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1114 - -1115. Which is the second smallest value? (a) l (b) -5 (c) 5 (d) 274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/601?\nAnswer: 2\/601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - h - 1. Let o be (3 - 1)\/(-678 + 680). Let n(x) = 3*x**2 - 6*x - 6. Suppose -4*w = 2*l - 2, 0 = -3*l - l - 2*w - 14. Give l*y(v) + o*n(v).\nAnswer: -2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25419696 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 35 = 2*y. Suppose -y = -4*s + 73. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 12 = 21*q. Let c(s) = s**2 - 9*s + 5. Let x be c(8). Let u(t) = -6*t**2 - 3*t - 5. Let h(b) = b**2 + 2 - 1 + 0*b + b. Calculate q*u(d) + x*h(d).\nAnswer: 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2234 + -9.7366. Which is bigger: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45750 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -316624 divided by 77\nAnswer: -4112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22809567*g**4 - 9812*g**2 + 90*g - 24 wrt g.\nAnswer: 547429608*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*l**3 + 81*l**3 + 94*l**3 + 97*l**3 + 616*l**2 + 93*l**3 - 2.\nAnswer: 2*l**3 + 616*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 20 + 4. Solve z = 5*z + h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/5 + 1000*o**3 + 7995988*o**2\/5 + 3991971984*o\/5.\nAnswer: o*(o + 996)*(o + 2002)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + k - 1 = 0, 0 = 5*a - 3*k + 2 + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 - 113 = -3*i, 4*x + i + 35 = 6*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -16*w**3 - 19*w**2 + 41*w + 3. Let o(t) = 4*t**3 - 7*t**2 + t - 1. Let p(m) = k(m) + 3*o(m). Factor p(l).\nAnswer: -4*l*(l - 1)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o - 20. Let s be 226\/o + (-10)\/20. Suppose 4*x = -4 - 0, 3*x - s = -a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10*r - 3. Let g(j) = -10*j + 2. Suppose 0 = -10*b - 161 + 111. Determine b*g(k) - 4*f(k).\nAnswer: 10*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4163, 8301, 12439, 16577, 20715, 24853?\n\"Answer: 4138*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139494 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 177 + 9 = 0. Find the common denominator of 109\/14 and (-11)\/(-2)*m\/(-40).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495318914?\nAnswer: 2, 5683, 43579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44256 and 628512.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 11*p**2 + 5*p - 8. Is c(6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517650651 divided by 370249?\nAnswer: 4099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Let a = -4.2 - -28.2. Let g = a - 23.5. Which is bigger: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 659126289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(3\/(-35))*((-84)\/(-60))\/(-7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m - 14*m = 0. Solve -r + 2 - 7 = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w + 2*o + 3476, -o - 1159 = w. Let y be w\/(-90) + (-4)\/(-30). Let n(j) = -7 + 7 + y*j - 11*j. Let u(l) = -37*l. What is n(u(t))?\nAnswer: -74*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldlxlllrllllxlld. Give prob of sequence rx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + 100001010001010100100?\nAnswer: 100001010001010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -21.524 equal to 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose -t + 10 = f*t. Suppose -3*g + 6 = -4*x, -g - 1 = -x - t. Which is smaller: -4 or x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 586 + -586. What is the fourth smallest value in y, 0.19, -3, -2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*i - 2*i + 348, -5*i = 3*u - 261. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 - -21. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101 (base 2) to base 10\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171592.608 + 171966.608116. Let d = -374 + n. What is d rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 3*o**5\/20 + o**3\/3 - 3*o**2\/2 - 406*o. What is a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 65 = 4*s + s, 4*s + f - 57 = 0. Suppose -2*n - 14 = 3*k - 5*k, 2*k - n = 15. Calculate the remainder when s is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 - 4*s**2 - 13*s + 4. Let j(t) = -7*t**3 - 9*t**2 - 26*t + 9. Give -9*f(r) + 4*j(r).\nAnswer: -r**3 + 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b17c + -5?\nAnswer: -4b184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 0 - (11 + -1). Let o(n) = 2*n**2 + 10*n - 45. Let k be o(-8). Let p be (-26)\/v - (k + 0). Which is the closest to -2\/5? (a) p (b) -1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*y + 1896 - 1728 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -184\/1853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + l**2 + 2*l - 258. Let s be a(0). Let g = 293 + s. What is the greatest common divisor of 56 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + 0*l - 4*l + (1 + 4 - 3)*(0*l + 0*l + 2*l) - l + 2*l + 0*l)*(-20*l - 17 + 17)*(-4*l + 4*l - 4*l).\nAnswer: 560*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162 or -2?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3 - (-8)\/96.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2880) - sqrt(45)) + -3.\nAnswer: -3 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-13)*(-3679)\/566?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -17 - -9 - (-817014)\/2. Round c to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -87*f - 2143. Calculate h(-31).\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3264961.\nAnswer: 7, 466423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 103 + (-4 - -2). Suppose -i + 40 = -4*y. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 365*l. Let u(t) = -577*t + 1151*t - 573*t. Determine j(u(h)).\nAnswer: -2*h**2 - 365*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103060229\/561 + -183708. Calculate the common denominator of f and 25\/6.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18*l**2 - 57*l + 55. Give f(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/((2250\/80)\/25)*(-3)\/4\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + j**3 + 3*j - j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 40*o. Let x(l) = 3317*l. Calculate x(a(s)).\nAnswer: 6634*s**2 + 132680*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9 + (-18464)\/24. Let o be (-7 - -1)\/(-30) + r\/(-5). Suppose 0 = q - 12*q + o. Calculate the lowest common multiple of 9 and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z**2 + 512*z\/3 + 19\/3 = 0.\nAnswer: -1\/27, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*q - 0*q + 85, 8 = 4*q. Let x = p + 32. Suppose -590 = -x*m + 105. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -477 - 1?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rczn when four letters picked without replacement from {c: 1, y: 12, s: 1, n: 3, z: 1, r: 1}.\nAnswer: 1\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -729923003\/918 + 795123. What is the common denominator of y and 67\/612?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 216*u**2 - 3123*u + 5406.\nAnswer: -3*(u - 53)*(u - 17)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 + x. Let w(z) = 4*z**3 + z - 1. Give -k(n) + w(n).\nAnswer: 3*n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 65*g**3\/6 - g**2 - g. Let m(z) be the first derivative of -z**2 + 31879. Calculate l(m(x)).\nAnswer: -130*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*x - 23*x + 32 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 98*d**4 + 16226*d**3 + 41196*d**2 + 19576*d + 2608 = 0?\nAnswer: -163, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/2607 and -79\/34044.\nAnswer: 29584236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2544 + -2542.703. Round x to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1534 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 4)*((-2 - 2*b + 2)*(0*b**2 + b**2 - 3*b**2) + 4*b**3 + 5*b**2 - 5*b**2) + 4*b + b**3 - 4*b + 8*b**3 + 31*b**2 - 31*b**2.\nAnswer: -39*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -24.4. Let w = 53 + -47. Which is greater: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3229382743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14113291*n - 4990533*n + 15895407*n.\nAnswer: 25018165*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 6 (c) -2\/7 (d) -350 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 37*o + 0 - 20*o + 3*o.\nAnswer: 20*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let y(t) = 2*t - 1. Let q(o) = -3*i(o) - y(o). Let g(m) = 6*m - 4. Let w(s) = g(s) - 4*q(s). Let u(n) = -1. Give 18*u(b) - 2*w(b).\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23044404 (base 5) in base 14?\nAnswer: -55229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203161 + 294654. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2480 and 1240?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1\/221 (c) -30839 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2886*k - 374 = -2908*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1135, 4586, 10339, 18394, 28751, 41410, 56371?\n\"Answer: 1151*o**2 - 2*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = 21*b - 24352. Suppose -5*y + 2*h + b = -h, 2*h = 3*y - 685. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 8. Suppose 0 = -5*r - 83 - 157. Let n be (2\/4)\/(3\/r). Let f be x(n). What is the third smallest value in -0.4, f, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Suppose -t*s + 5 = -1. Suppose -2 - 10 = -s*k. What is the smallest common multiple of 7 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(1\/3)))**(3\/19)\/(s*(s**6*s)\/s*s*s*s**(2\/13)) assuming s is positive.\nAnswer: s**(-2274\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 5. Suppose -63 = 385*p - 364*p. Calculate k(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + t. Suppose q = -3*z + 9, 3*q = 3*z - 0*z - 21. Suppose 0 = -i - i - z. List the prime factors of d(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588755 divided by 117751\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5\/3 - 136*z**4\/3 - 2192*z**3\/3 - 8396*z**2\/3 - 3590*z - 1476 = 0.\nAnswer: -9, -3, -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.27, -0.18, -29, -0.2, -3 in descending order.\nAnswer: 5, 0.27, -0.18, -0.2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1204 and 78232?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 + 2 = 0. Suppose 3*z = 2*u + 11, 0 = -z - 0*u - v*u + 11. Which is the closest to -0.1? (a) -5 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -7 + -2 + 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 + 123. Solve -l - 3*k = 2*k - 14, c*k = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/124131 or -1?\nAnswer: 2\/124131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000218845 to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 3*l + 4*l)*(-76 - 83 + 58) + 32*l + 75 - 75 to the form z*l + v and give z.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 112 = 3*j. Find the common denominator of (-64)\/(-30)*(4\/20 - 3\/6) and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/10)*(n\/((n*n**(19\/2)*n)\/n)*n)\/n assuming n is positive.\nAnswer: n**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (55390\/191)\/10150*77\/(-2)\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129157 (base 10) to base 9.\nAnswer: -216147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26680919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4))**3\/((o\/(o*o*o*o**13*o*o*o))\/o**(-20)) assuming o is positive.\nAnswer: o**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6624143 is divided by 314.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5\/m*(m\/m**0)\/m*(m**(-4)\/m)\/m**(-4)*((m**(-1\/2))**24)**34 assuming m is positive.\nAnswer: m**(-405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (12 - (-5 - -11) - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Suppose s - 1 - 1 = c. Suppose -4*a - 3*w + 53 = 0, -a - w - 15 = -s*a. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*l = 24, -4*y = 8*l - 6*l - 24. Which is the nearest to 2? (a) -0.5 (b) -7\/5 (c) 2\/5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(162)*-1 + 3)**2 + sqrt(24)\/sqrt(3) + 4 + 5.\nAnswer: 2*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 6\/((-3)\/1). Let o = l - -3. What is the lowest common multiple of o and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.0000012 + 37. What is z rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 971, 1972, 2973, 3974, 4975?\n\"Answer: 1001*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/11 + 28602*a\/11 - 17954188\/11.\nAnswer: -2*(a - 13643)*(a - 658)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 135 (b) 3\/2 (c) -2\/7 (d) -56 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + (-380)\/(-114). Let n - 6 + 9 - 5 + 56*m**3 - 50*m**2 - 8*m = 0. What is m?\nAnswer: -1\/4, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*b**2 + 20*b - 20*b)*((-1 - 2 + 2)*(-2*b + 3 - 3) + 0*b - 4*b + 3*b).\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(4\/5))\/m*m\/(m\/(m\/(m*m\/(m\/m**1*m)*m))*m*m)*(m**(-1\/3))**(-15) assuming m is positive.\nAnswer: m**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 142?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5055 - 5055. Solve l*u + 5*u = -2*n - 7, -5*u = -n + 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(250) + -4*sqrt(250)) - sqrt(250))*-2)\/(sqrt(4)\/(sqrt(2)*-5*-4 + sqrt(2))*1).\nAnswer: -2940*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 + 19 = 0. Suppose 0*p = w*p - 6. Find the third derivative of -s**2 - 5*s**3 + 5*s**p + s**6 + 3*s**2 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/5 + (-2)\/(-10). Let b(v) = -4*v + 2. Let f(r) = -3*r + 1. Let c(k) = o*f(k) + 4*b(k). Find the first derivative of c(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27066760 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*m + 2*i, -3 + 0 = 3*m + 3*i. Let w(t) = -t**2 + 21*t - 23*t + 749 - 747. Let a(x) = -2*x + 1. Calculate m*a(u) - 2*w(u).\nAnswer: 2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151472 and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 18?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 3. Suppose 5 + 7 = -4*p. Let j be d(p). Calculate the highest common divisor of 9 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2137, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001100110011100001010111 - 100?\nAnswer: -1111001100110011100001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2324 is divided by 578?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*22\/(-2475))\/(6\/(-6))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:59 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1690\/(-150) + (-9)\/(-15))\/((-12)\/(-18)). Let g(o) = o**3 + 16*o**2 + 8*o + 124. What is g(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208990351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7895 - 221021\/28. What is the common denominator of f and 15\/1372?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 4. Let a be m(-4). Let x be (1 - a)\/(4\/8). Suppose -12 = -5*g + 6*o - x*o, -3*o + 6 = 0. Solve w - 15 = g*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 278 + 588. Suppose -17*j + 936 = -a. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*(0 + sqrt(612) + 5 + -4*sqrt(612)*-2 + 2 + -3*(2 + sqrt(612))) + 5)**2.\nAnswer: -288*sqrt(17) + 88132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*r + 21, 5*k - 36 = 5*r + 9. Let z(o) = -o**3 + 7*o**2 + 2*o - 10. Let s be z(7). Let h be 2\/5 + 12\/20. Sort r, s, h.\nAnswer: r, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/1491 and 18\/781.\nAnswer: 16401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 22*n**3 - 3*n**2 - 8*n + 26. Let w(p) = -18*p**3 + 3*p**2 + 9*p - 23. Give 4*a(d) + 5*w(d).\nAnswer: -2*d**3 + 3*d**2 + 13*d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -5, 57, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2644 (base 7) to base 16\nAnswer: -3f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -22*f - 1. Let a be h(-1). Let i = a - 15. Let q = i - 2. What is the highest common divisor of q and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 647 and 4275?\nAnswer: 2765925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.08, 2\/3, -5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 23. Let b = 31 - g. Solve m + b = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 687 + -683. Solve 3*o - 6 = 3*q + 9, -16 = f*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/4))**(6\/13)\/(u**(1\/4))**(-45) assuming u is positive.\nAnswer: u**(615\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:35 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqaq when four letters picked without replacement from qqqqqqqqqqqaqqqqqq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 6*x**2 + 7*x + 2. Let i be v(-5). Let t = i + 10. Let u(w) = -w**3 + 3*w**2 + 2*w. Calculate the remainder when 45 is divided by u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212089 = -43*f + 31*f - 119*f. Calculate the remainder when 1635 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/560)\/(12\/(-28))*-4.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 - 9564*c**3 + 11424194*c**2 + 22877088*c + 11443328 = 0. What is c?\nAnswer: -1, 2392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.4219 millilitres in litres?\nAnswer: 0.3154219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4880 - -63439\/13. Which is the fifth smallest value? (a) 5 (b) t (c) 6 (d) -4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114*1.1\nAnswer: 125.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*b + 2, -4*b = 2*v - v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2 - 16748*u + 16750 = 0 for u.\nAnswer: -8375, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.98 + -0.02. Let g = -3 - o. Which is the biggest value? (a) g (b) -0.3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.2. Let s = -0.8 - -1.7. Let i = s + d. Put 0.2, i, 2\/7 in descending order.\nAnswer: i, 2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 5 - 3 - 1. Let o be 1 - 4324\/(-24) - 4\/24. Let k = o - 185. Give x(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -522.4 - -507.4. Put -5, 7\/2, m, -1, -10 in descending order.\nAnswer: 7\/2, -1, -5, -10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 1. Let g = 2 - -1. Let j be u(g). Let z(i) = -297 + 297 - j*i. Let w(l) = 9*l. What is w(z(x))?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39526 or -3599?\nAnswer: -3599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -48*j + 49*j. Let d be (j\/(-12) - 1)\/(3\/27). Solve d*a + 20 = 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*l**2 + 2)*((43 - 33 + 47)*(3 + 2 - 4) + 2 + 2 - 3 + (1 + 2 - 2)*(1 - 1 - 1)) to the form b*l + h*l**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488969133?\nAnswer: 7, 17, 20915707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, -50, -114, -194, -290, -402?\n\"Answer: -8*y**2 - 24*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369640 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.60136519 rounded to 4 dps?\nAnswer: -2.6014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -2, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(1\/((-39)\/130))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 + 6*z - 4. Let s be j(6). Which is bigger: -19\/6 or s?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/90 - ((-381)\/(-135) + -3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345968931?\nAnswer: 3, 7, 11, 1497701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -279969 plus 4321089298?\nAnswer: 4320809329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1303*a**2*p + 16*a**2 - a*p - 2813*a - 2*p wrt p?\nAnswer: -1303*a**2 - a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 6.86 (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20865b7 (base 12) to base 11\nAnswer: -351a996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9870 divided by 1194.\nAnswer: 1645\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1241808 or -1\/3?\nAnswer: -1241808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + a2?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4386 + 8802 + 13364*l - 4416 as h + b*l and give b.\nAnswer: 13364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 18, r: 1}. What is prob of picking 3 r and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3429 and 7493?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9) - (-1 + 4 + -2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1547 and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2517, -9298, -20327, -35604, -55129?\n\"Answer: -2124*k**2 - 409*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -726 + 721.03. What is f rounded to 1 decimal place?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3\/2 (c) 264 (d) -0.4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g + 42*g = -3906. Calculate the greatest common divisor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(4\/12). Suppose 0*d + f = -2*d. Let k be (-28)\/(-6) - d\/3. Solve -3*h + 14 = k*a - 18, 0 = -4*a + 2*h + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -202493\nAnswer: -3\/202493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -16)*((-3)\/(-9))\/(-1). Suppose 4*f - 5*k - 3 = 0, -5*f + y*k + 9 = 4*k. Solve 5 = -f*x + 7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(104) + -3*sqrt(104)*-6 + sqrt(104) + sqrt(104))*1)\/(6*(6*sqrt(128) + sqrt(128))))**2*-1.\nAnswer: 307\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67886.924 rounded to the nearest 10?\nAnswer: 67890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*g + 354*g + 7 - 7.\nAnswer: -274*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = i - 9, 5*i = 4*w - 6*w - 1. Let k = -3 - -4. Which is the closest to k? (a) -1\/10 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -107901\nAnswer: -32370.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0, 2, -10 in decreasing order.\nAnswer: 2, 0, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24001 - -26913. Calculate the lowest common multiple of 2002 and t.\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -23*m**7\/840 + m**6\/45 + 8*m**3 + 22. Let o(w) be the third derivative of v(w). Find the third derivative of o(z) wrt z.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 193*y + 566. Let p be t(3). Solve -4*v - 6 = o + 5, -2*o - 16 = p*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**4 + 42970*o**3 + 1028485*o**2 + 727760*o - 5913300 = 0?\nAnswer: -8570, -23, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2 = 3*y, 2*y + k = 1656 - 1650 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 - 8e?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 36659438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/2 - 37*y**3\/3 + 15*y**2\/2 - 4*y - 30. What is the least common multiple of w(-19) and 63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21039174 and 15304.\nAnswer: 84156696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 378321.6 minus 0.4?\nAnswer: 378321.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 988, 3934, 8844, 15718?\n\"Answer: 982*a**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1\/7, -3, -0.2 in increasing order.\nAnswer: -3, -0.2, -1\/7, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllulll. What is prob of sequence luuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/24 - d**3\/2 + 59*d**2\/2 + 43*d. Let u(c) be the first derivative of l(c). Give u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 - -118. Solve -o + d = 1, w = 4*d + 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000125182093 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8*a + 468 = 0. Suppose -a = 6*g - 9*g. What is the highest common divisor of 26 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14951*m**3 + 45062*m**3 - 15055*m**3 - 14931*m**3.\nAnswer: 125*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1118 - 1766. Let f(o) = o**2 + 96*o + 2288. Let k be f(-44). Calculate the common denominator of 49\/11 and 4509\/b + ((-4)\/(-2) - k).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 11:34 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 165618754 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcc when three letters picked without replacement from ccccffc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*m - 85*m + 140. Let g be m\/(-36)*24\/28. What is the nearest to -1 in -5, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 4) + 4 - 1*-4. Let d(c) = 4*c**2 + 7*c - 8. What is the tens digit of d(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 - 54. Suppose 10 + o = 2*b. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26153?\nAnswer: 26153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-2 - (3 - 7 - -2)). Determine o so that -30*o - 15*o + 112*o**2 - 111*o**r = 0.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/59 in 3, -2\/5, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s**2 - 28*s**2 + 54*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 405.231172?\nAnswer: -362.231172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 + 3*o**2 - 2*o**2. Let y(b) = -b. What is i(y(x))?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*n**3 - 13*g**3 - 141*g**2*n**3 - 3*g**2*n**2 + g wrt n?\nAnswer: -12*g**3 - 846*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 985 or 989?\nAnswer: 989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v + 0 - 2*v**2 - 1\/12*v**4 + 2*v**3. Let m be l(8). What is the smallest value in 1, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1369, -4\/5, -1\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 235 = 5*r, 7*r - 5*r = -3*k + 380. Suppose k = b - x, -b = 2*x - 43 - 78. What is the remainder when b is divided by 50?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -72, -92, -112, -132?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14617 = 2*k, 189*k = -2*i + 192*k + 9743. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*f + 24 = 0, -4*i - 4*f + 28 = f. Solve i*r = k - 13, -4*r + r + 13 = 5*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 464008974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17.3051373481 and -0.59.\nAnswer: 16.7151373481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 2:54 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d - 1723 - 2076 = 0. Let h = 1228 + d. List the prime factors of h.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**3*u**2*w - 2*h**3*u + 2*h**3 - 525*h*u**3 - 39*u**3*w + 10*w wrt w.\nAnswer: 3*h**3*u**2 - 39*u**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 15, m: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*k = -186*k - 520351 - 373751. List the prime factors of k.\nAnswer: 3, 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/7 - 22\/77. Let u = 3.6 + -0.6. Which is the closest to 1\/2? (a) u (b) o (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12738 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1094580110.7 to the nearest one hundred thousand.\nAnswer: 1094600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 + -1 + 21) - (-1 + -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 2*k + 1. List the prime factors of n(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 10 - (-30 - (-30 - 17 - -31))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -0.1, 8, 393, -1, -1\/5, -248?\nAnswer: 393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w - 1. Give a(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, -5, 2\/5, -1.976, 0.2, -12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/465 and -49\/75.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 446 + 400 = 3*m, -m = 20*b + 58 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636367.\nAnswer: 7, 163, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-21))\/(((-1)\/14)\/(216\/(-420)))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 + -45 - (3 + (82 - (7 + -14)))) + -13.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**2 - 43\/3*i + 10\/3 = 0.\nAnswer: -5, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87 - -27) + 67 + (1 - (5 + -4) - -78)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 215 (b) -2\/15 (c) 7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4651, 4657, 4673, 4705, 4759, 4841, 4957?\nAnswer: 5113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 7, -163, -1\/3, 2\/7, -28 in descending order.\nAnswer: 7, 2\/7, -0.01, -1\/3, -28, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6118.4 rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -23. Let w be k\/3 - -2 - 3057\/(-9). Let h = w - 1000\/3. Is h less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 2*r**2 + r + 2. Let v be u(-2). What is the nearest to -0.1 in v, 5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -126, -104, -68, -12, 70, 184, 336, 532?\n\"Answer: s**3 + s**2 + 12*s - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -18.425 and 17895.6096.\nAnswer: 17877.1846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggmm. Give prob of sequence mg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22132, 46885, 71638, 96391, 121144?\nAnswer: 145897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i - 34 + 304 = 0. Solve -3*l - i = 0, -4*s - 1 = -5*l - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2268 + 754 + 5*b**2 + 755 - 2*b**3 + 7*b + 756 to the form o*b**3 + g*b**2 + y + p*b and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.1536 litres to millilitres.\nAnswer: 20153.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806 is divided by 1231.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 232177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/(i\/i**(-1\/3)))\/i)**(1\/5)*i**2\/i**(1\/3))**(-3\/7))**(1\/20) assuming i is positive.\nAnswer: i**(-6\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*j - 26, 3*j + a + 10 = 6*j. Solve -j*c - 11 = q, -4*q + c + 0*c - 17 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - -4.99. Let g = v + -5. Let s = g + 1. Which is the third smallest value? (a) -0.2 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-1053)*-9*-27)\/(6\/(-69))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (3 - (2 + 7)). Let v(b) = b**3 - 9*b**2 - 8*b - 3. What is the remainder when v(p) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 23. What is the closest to -1 in -5, -3\/7, n?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1340532 - 0?\nAnswer: -1340532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -134*f - 608. What is w(-4)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-12) - (-1235)\/2665 and 27\/656?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11481 - -11478. Which is the closest to -1? (a) 1\/10 (b) 1\/4 (c) u (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -44, -217, -500, -899, -1420?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, -2, -209 in descending order.\nAnswer: 4, 1, -2, -4, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 119cb + 5?\nAnswer: 11a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 - 101. Suppose -w*l = -28*l + 249. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 5*i**3\/6 + 27*i - 1. What is u(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 137*d**2 + 646*d - 1848.\nAnswer: (d - 2)*(d + 7)*(d + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005 - 255 = 6*g. Suppose -20*s = 5*s - g. Solve -s*a = -5 - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/28)\/(9\/6). Suppose -3*x - 21 + 55 = -5*p, -3*x - 5*p - 16 = 0. What is the nearest to 4\/11 in 0, x, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 12 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 43472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1315*i - 15720. What is the smallest common multiple of 995 and v(-12)?\nAnswer: 11940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -18031, 0.5.\nAnswer: -18031, -5, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-4)\/(-36))*(-320)\/48?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -91. Let i be (h - -3)*17\/(-2). Suppose 13 = p - 4*s, p - 4*s = 6*p - i. Solve p*g + 0*g - 17 = -3*d, -11 = -5*d - 4*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.766465\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a7059 (base 11) in base 12?\nAnswer: -1b0685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/7 (b) 3 (c) 0.5 (d) -4\/5 (e) 32.54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1668\/1807)\/(64\/156)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.01258 rounded to 4 dps?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -452, -281, -108, 67?\n\"Answer: o**2 + 168*o - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxj when four letters picked without replacement from {x: 3, j: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37228013 to the power of 1\/2, to the nearest integer?\nAnswer: 6101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 50. Suppose 14*m = -49 + 273. What is q(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/20*(-4)\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 4, -5, -3, -0.6, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 55930011586 and 2465.\nAnswer: 55930014051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Let c = q + 18. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 47 + 230\/46. Calculate the highest common divisor of 561 and b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxeegzgxnx. What is prob of sequence xnzx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 1\/4, 27, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6245*u**2 - 12408*u**2 + 6521*u**2.\nAnswer: 358*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -180.\nAnswer: -1\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14719, 14723, 14727, 14731, 14735?\n\"Answer: 4*z + 14715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1520472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*k**5 + 4809*k**4 - 232*k**3 + 310*k**2 - 289343*k - 2 wrt k.\nAnswer: 1560*k**2 + 115416*k - 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -54, -113, -232, -429?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.316 - -3.716. Which is the second smallest value? (a) 0.1 (b) -0.5 (c) g (d) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3803\/3 > -1269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 525\nAnswer: -525.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 226774?\nAnswer: 1\/113387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2548 and 22204.\nAnswer: 155428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 223. Is 54 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = x - 2 - 0, -5*x = 3*z - 10. Suppose x*m - m + 11 = 0. What is m rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 3:31 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 6*s**2 - 6*s + 7. Let a be i(-7). What are the prime factors of 1*(a - 1 - -14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2738 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 350 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 60.14193 millennia?\nAnswer: 60141.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + (-1 + (-1 - -34) - (8200 + -8184))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183758?\nAnswer: 2, 139, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -4 + 13 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8247 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285426 is divided by 40013.\nAnswer: 5335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -30*f + 11143. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 60301*u + 1689148. Give r(-28).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 + 4. Let m(t) = -6*t**2 + 3. Let w = -4 + 1. Let r(f) = -3*f - 7. Let s be r(w). Let d be (2 + 4)*1\/s. Calculate d*v(g) - 4*m(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4906459 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**5)\/v)\/v*(v\/(v*v**(-2)*v*v*v))\/v*v)**(29\/4) assuming v is positive.\nAnswer: v**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*j**2 + 9*j**3 + 18*j**2 + 19*j**2.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 20*x**2 - 2*x**3 - 6 - 24*x**2 + 11*x.\nAnswer: -(x - 1)**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2338 divided by 1.\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 568553.4 months in years?\nAnswer: 47379.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3498763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*t**4 + 5*t**3 - 2629*t**2 - 1258310*t + 1?\nAnswer: -96*t**2 + 30*t - 5258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 7. Suppose 3*p - 15 = -5*s + 8*p, -d = -s - 2*p. Suppose -3*u + 80 = 5*k, s*k = -5*u + 83 - 3. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 43 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9153 is divided by 352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 66 = -76 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + w = -0*v - 1, -2*v + 3*w = -19. What is p in 144*p - p**2 - 36*p**3 - 70*p**2 - 65*p**v + 48 + 21*p**4 + 40*p**2 = 0?\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0262 take away 0.06?\nAnswer: -0.0862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.14 and 15.1.\nAnswer: 15.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceiis. What is prob of sequence ce?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -1 + 4*r + 1\/3*r**3 - 2*r**2. Solve f(l) = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8587 - 34343\/4. What is the fourth smallest value in -2, 2, -1\/5, 57\/4, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(80))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*x + 40 = 169*x - 5*k, -4*x + 4*k + 40 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 2*x + 10. Let b be q(-2). Solve h - 10 = 3*k - 0*k, -3*k = -4*h + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*n = 320, 0 = 2*p + 5*n - 29 - 287. Let u = -8 - -11. Suppose -v - u*v = -p. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/5, 2\/23, 32 in descending order.\nAnswer: 32, 2, 2\/23, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1128 - -866. Let v = h - -1743. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06369836 - -0.0637. Let s = -0.3 + 0.3. Let i = b - s. What is i rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38684634 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 19.1242.\nAnswer: -76.4968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (0 - -2) - (-39 + 50)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 196*r**2. Let x(s) = -2*s**2. Calculate k(x(b)).\nAnswer: 784*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -15. Let y(b) = b**h - b - 2 - 4*b + 1. What is y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2692)\/(-2)*8\/64*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, k: 2, x: 3}. What is prob of picking 1 k and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddjjdd. What is prob of sequence djdd?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - j**2. Let w(k) = 5*k - 2*k**3 - 1 + 1 - 2 - 2*k**3 - 9*k**2. Let f(v) = 5*b(v) - w(v). Determine g, given that f(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(-4*5\/(-90))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 2*w + 25. Let z(j) = 8*j**2 + 6*j + 87. Let h(r) = 7*m(r) - 2*z(r). Suppose 4*g - 3 = 3*g. Determine h(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 309 - 321 - (317\/(-35) + -3).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -7 + 17 - -10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211247127 to the nearest integer?\nAnswer: 14534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5244*p - 205569 = 5223*p. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 3*o - 5*o + 6*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30728*w**3 - 5909*w**5 - 30728*w**3)*(-3 - 2 + 7)*(-2 + 2 - 2).\nAnswer: 23636*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*x - m, -3*x = -4*x + 2*m - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 204 + 2*v**2 - 298*v - 286*v + 658*v.\nAnswer: 2*(v + 3)*(v + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 1.8 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = n + 5*h - 9, -4*n - 4*h + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 3*i - 6*i - 2*i - 2*i - 5*i + (1 - 1 + 1)*(2*i - 2*i - i) as h + d*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -8. Suppose -3*i + 2*x + 17 = 0, 4*x + 3 = -5*i + 2. Let p be 1\/i + (-2)\/42. Put p, n, -5 in ascending order.\nAnswer: -5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o*p**4 + o*p**2 - 2*o*p + 8*o - 84*p**6 wrt p.\nAnswer: -48*o*p - 10080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11226526 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731610 to the power of 1\/2, to the nearest integer?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/12 - 7*z**3\/6 + 9*z**2\/2 - 35*z. Calculate the remainder when n(12) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/38 - 775872\/(-2052). What is the greatest common divisor of 2394 and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1239 divide 268686973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2. Let y(z) = -17*z - 1. Let t(x) = -5*x - 2. Let u(m) = 8*t(m) - 3*y(m). Calculate a(u(s)).\nAnswer: -363*s**2 + 858*s - 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1660653 (base 8) to base 9\nAnswer: 816525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8214*v**3 + 873*v**3 - 9082*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6906 divided by 6.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 + 45*z - 9. Determine j(-10).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/6 - (-186)\/36. Let t(o) = o**3 - 4*o**2 + 7*o - 4. Is 23 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20404 + 34?\nAnswer: 20443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7127205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-4*b**3 + 5*b - 5*b) + (26 - 26 - 3*b)*(4*b**2 + 0 + 0).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9736*x + 77900. Determine m(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -128829, -1030560, -3478109, -8244384, -16102293, -27824744, -44184645, -65954904?\n\"Answer: -128818*s**3 - s**2 - 2*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7075 - 8.707468. Let d = a + 6. What is d rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.6. Let s = -1.68 - -1.18. Which is the nearest to -0.1? (a) 0.2 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*q = q + 1350 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**6\/6 + 16*c**5\/5 - 31*c**4\/2 + 80*c**3\/3 - 33*c**2\/2 - 593. Factor o(g).\nAnswer: -g*(g - 11)*(g - 3)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 12*g + 8.\nAnswer: 4*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 2 - 6*c)*(-2*c + 3*c + 0*c).\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*q = -27, -4*q + 1 = a + 10. Let l(d) = d**2 + 10*d + 11. Let z be l(a). Solve -18 = -4*c - z*h, c + 4*h = -1 + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-45))\/((-4)\/60*-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 34. Let q(g) = 14*g + 1. Let k be q(3). Suppose 0 = -6*j + k - 49. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1725 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + 1 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*h**3 + 0*h + 36 - 17*h**3 - 2*h wrt h?\nAnswer: 438*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*s - w + 12, w + 16 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-4*l**5 + 3*l**5 + 7*l**5) - 87*l**4 + 87*l**4 + 75*l**5.\nAnswer: 81*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 26425*n**2 - 5*n + 6. Let p be m(2). Suppose 5*q - 89089 = p. Suppose 0 = -c + q + 183043. Round c to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 175 = -5*u - 137, -2*u - 4*n + 18 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 0*i**3 - i + 317*i**2 - i**3 - 323*i**2 - 4. Suppose -4*b + 7 = -1. Suppose -18 = 5*k + 3*a, -5*k + b*a = a + 34. Determine t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/1617705 and -61\/2588328.\nAnswer: 12941640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -64630 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/23 - 280*c**4\/23 - 12482*c**3\/23 - 168556*c**2\/23 + 207424*c\/23 + 363776\/23 = 0.\nAnswer: -56, -29, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 0.2. Let i = 17420 + -17418. What is the closest to i in 0.4, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) 5 (c) 193 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3815 is divided by 248.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8042656 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, q: 1, s: 1, a: 1, l: 1, v: 11}. What is prob of sequence ql?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose n*o = 4*o - 36. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 12) in base 16?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -19. Suppose 0 = 5*x + 2*r - 111, x + u*r = 4*r + 33. Calculate the remainder when 62 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -275 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-832)\/208)\/(2\/5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 15 = 0, -2*s + 5*u + 12 = 9*u. Suppose -s*p + 276 = 11*p. Calculate the least common multiple of 4 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/18 - (3 + (-520)\/(-117))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -544409917\/364876190 - -6\/726845. Let c = 2\/251 - x. Factor 1\/2*h**3 - 1\/2 - 3\/2*h**2 + c*h.\nAnswer: (h - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a\/(a*a\/a**(-5\/2))*a))\/a*a)\/(a**(-6)\/a))\/(a**5\/((a**13\/a)\/a*a)) assuming a is positive.\nAnswer: a**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - (-12 - -12 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 = 4*n - 13, 5*r = 4*n - 11. Suppose n = 2*d + 2*d, -z + 5*d = 1. Let q = -1 + z. Sort 4, q, -2 in ascending order.\nAnswer: -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 1. Let c be (9\/(-6))\/((-2)\/(-4)). Calculate the remainder when x(c) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 7*c + 2. Let w be m(-7). Suppose 3*g - 2 = -2*a + 15, 0 = -3*a - w*g + 13. Is (-318)\/(-8) - a\/(-4) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-24 - (33 + -12))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78165 divided by -15633.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from swwwssssswssss?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 36*q - 135.\nAnswer: 3*(q - 3)*(q + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5221862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than or equal to 22.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1053) - (sqrt(1053) - ((sqrt(1053) + 1)*-4)**2) - -5*(sqrt(1053)*1 + sqrt(1053))).\nAnswer: -33728 - 756*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 41205 (c) 1\/6 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12617*k**2 + 0*k + 12649*k**2 + 1 + 0*k + 0. Let n(u) = 51*u**2. What is z(n(v))?\nAnswer: 83232*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27542*j + 27549*j - 154 = 0. Let m(r) = -r**2 + 6*r + 2. Let d be m(6). Solve d*h = -16 + j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 1. Let a be -3 - (2 - 24\/4). What is j(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8340 is divided by 119.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - 6792\/(-240)) + 6\/(-20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -561 - -980. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126965, -507857, -1142671, -2031407, -3174065, -4570645?\nAnswer: -6221147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3\/188, 2\/9 in ascending order.\nAnswer: -3\/188, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3631637.\nAnswer: 3631637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**4 - 136*f**3 - 18*f**2 + 1224*f = 0?\nAnswer: -3, 0, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/147052464 and 11\/49017488.\nAnswer: 147052464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 55*l**2 + 184*l + 1053. Give w(51).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109160\/9 - 12129. What is the nearest to -25 in 2\/7, 3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 f when three letters picked without replacement from hfffqha?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.958478 rounded to two decimal places?\nAnswer: 16.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n**2 - 67*n**2 + 128*n**2 - 11*n.\nAnswer: -5*n**2 - 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 443189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, i: 7, k: 4}. What is prob of picking 1 i, 1 k, and 2 u?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o - 58. Give h(5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**4\/8 + v**3\/2 + v**2. Let b be ((-18)\/(-12))\/((-3)\/8). Give a(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 8*r + 6. Let j be z(-7). Let q = 33 - j. Do -224 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 6 (c) 2 (d) 3905\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/3069 and 35\/57.\nAnswer: 58311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28988 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.083 in 1.11, -0.1, 0.4, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 22*g + 109. Let q(s) = s**3 + 14*s**2 - 32*s + 15. Let u be q(-16). Let r be w(u). Solve 4*l + 5*t - 2 = 0, 2*t = l + 2 + r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 2:41 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1399348*g**3*q**3 - 3*g**3*q**2 - 152*g**3 - 3*g**2*q**3 + 1339*g**2 + g*q**2 wrt q?\nAnswer: 8396088*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -605 + -4?\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = 5*r - 5*o + 309, 10*r = 12*r + 5*o + 31 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5466750 to the nearest 10000.\nAnswer: -5470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2 - f + 21. Let i be 4*((-3)\/(-12))\/1. Suppose 2*u = 4*r + 16, 5*u = -r + i - 16. Let b(j) = -j**2 + 4. Calculate u*t(y) + 11*b(y).\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 19893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8387*a - 8414*a = 567 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2648.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294*(-66)\/(-5544)*48\/1960.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -8*m - 36 + 94 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 719998929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1336 and -119\/480.\nAnswer: 80160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16424181.\nAnswer: 3, 608303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 3\/5 (c) -11 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1015 + 510. Which is smaller: s or -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2789.\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-7)*o)\/(o*o**(-1)))**(-1\/11) assuming o is positive.\nAnswer: o**(5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1190871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1a51a (base 11) to base 14\nAnswer: a5b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10324 and 712?\nAnswer: 20648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2101 + 711 = -5*s. Suppose -5*f = 2*a - s, -2*a - 3*f + 82 + 188 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 2*u - 291. Suppose -11*r + u = -8*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3217267*o + 665363?\nAnswer: -3217267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-3 - (-92)\/2). Let f = 129 + a. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169.99999911 + 170. Round v to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28353, 28227, 28081, 27915, 27729, 27523?\nAnswer: 27297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/(8\/(-6))*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 184\/137?\nAnswer: 184\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -51465 divided by -47?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152292836, -152292835, -152292834?\n\"Answer: g - 152292837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -65682 != -65694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -597 - -797. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3673*k + 498*k**5 + 884*k + 12016*k**5 - 6033*k wrt k?\nAnswer: 250280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236557407*o + 17*o**2 - 236557407*o.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m + 114. What is k(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 9*x + 4 = -6*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wppmmmmpkppm. Give prob of picking 1 k and 1 p.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3090?\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -774?\nAnswer: 773.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(2 + sqrt(245))*6)**2.\nAnswer: 96768*sqrt(5) + 860544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 3\/4, 3, -3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11. Suppose -3*n - j*n + 49 = 0. What are the prime factors of 1*4 + 378\/n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.4, 2, -27?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -1 - (0 - 6). Suppose 0 = r*i + i - 20. Suppose -4*n + 39 = -i*a - 60, 3*n - 2*a - 69 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {w: 1, d: 2, u: 13, b: 1, g: 2, r: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.02 (c) 11\/3 (d) 4 (e) -139\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113022 (base 6) to base 11.\nAnswer: 734a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 + 4*k**3)*(-1 - 3 + 5)*(-4*k + 2*k + 5*k).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 318930 and 1020?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2 (c) -2 (d) 146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 8, -2, -14?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 2. Let m = -185 - -31. Let f be (-66)\/m - 11\/(-7). Suppose -f*b + 29 = -0*u - 5*u, 5*b - u = 15. What is j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00142394483 rounded to 5 decimal places?\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g - 12 = 0. Suppose 12 = -3*b + g*b. Suppose 2*i - 2*n = -10, -5*i + 4*n - 7*n + 15 = 0. Solve -2*a + i*a = -b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1120\/17 - (15 + (-2827)\/187). Suppose 0 = 5*x - y - 107, 29 = 3*x + 4*y - 49. What is the greatest common divisor of x and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -85\/3. Do 1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30822.77 years in centuries?\nAnswer: 308.2277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:30 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus 25.79774?\nAnswer: -18.79774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -3. Let d be (h\/39)\/((-1)\/(-3)). Suppose -q + 1 + d = 0. Solve q = 2*l - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*s - n, 7*s - 5*n = 4*s - 26 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**13\/m*m)\/m**(-1\/17))**26 assuming m is positive.\nAnswer: m**(5772\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {p: 3, n: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130339 and 102818397?\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**4\/3 + 20*z**3\/9 + 44*z**2\/3 + 64*z\/3 - 102. Factor j(f).\nAnswer: -4*(f - 8)*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164853, 329686, 494505, 659304, 824077, 988818, 1153521?\nAnswer: 1318180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d\/(d\/((d**1\/d)\/d)))))\/d**10*d\/(d**(-3\/13)*d)*d*d**(-1\/5)*d assuming d is positive.\nAnswer: d**(-518\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106502 - -0.1551.\nAnswer: -106501.8449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.47 take away -0.16?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s - 35. Give q(-10).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34573871.\nAnswer: 5857, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 3*u, j - 4*u - 228 = -215. Let z(w) be the third derivative of w**6\/120 + w**5\/20 - w**4\/8 - w**2. Give z(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 2. Let o = 7 - 12. Let y be p(o). Let w be (y - (-5)\/2)*2. Which is smaller: w or -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 12:09 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6194 is divided by 390.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 112339559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95378.6 or -63\/2?\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 79a - -656?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 3:15 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/15 (b) -17.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178 + 2*w - 168 - 53*w**4 + 3*w**3 + 343 + 2*w**2 to j*w**3 + t*w + v + l*w**4 + g*w**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 462.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5020562 and 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 684?\nAnswer: 47880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204011 is divided by 3440.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/1205?\nAnswer: -4\/1205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 21*w**2 + 20*w - 6. Give f(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30461588?\nAnswer: 2, 1609, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d - 457. Let k be b(67). Let i = -20 + 36. Let t = i - 2. Is k not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*(((-105)\/(-5))\/(-189))\/(2\/(-12))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3. Let p = -3 - 1. Let r(j) = j + 63 - 39 - 37. Let q(u) = p*r(u) + 18*t(u). Let h(g) = -2*g. Calculate q(h(o)).\nAnswer: 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4723, 7255, 9789, 12325?\nAnswer: 14863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8346001*c + 2738314 with respect to c.\nAnswer: 8346001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f - 4. Let t(g) = -25*g + 9. Let m(z) = 24*z - 9. Let d(b) = -2*m(b) - 3*t(b). Let i(j) = 3*j - 10. Let q be i(-1). Determine q*k(r) + 6*d(r).\nAnswer: -7*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 1:24 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2. Let t(u) = -14*u - 3. Suppose 9*b = 16*b - 42. Let r(a) = 13*a + 3. Let g(n) = b*r(n) + 5*t(n). What is g(c(o))?\nAnswer: 40*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427 + -430.71. Let x = -3.9 - o. Let g = 0.216 + x. Round g to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**3 + 2*m**2 + 2*m + 1. Let l be 3 - 5*28\/35. What is r(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 2*r - 6. Let j be s(0). Sort j, -4, 3 in descending order.\nAnswer: 3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 48*d**2 - 100*d - 196. Determine a(-2).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -41074?\nAnswer: 41074.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 193, -0.03, 2\/121, 5, 26, 3?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:35 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a\/(a*a\/a**(4\/5))*a*a*a)*a**(2\/7)*a**(-1\/3)*(a*a**2)\/a*a**(-2\/3)\/(a\/a**(-4\/7))*a\/a**5*a\/(a**(2\/9)\/a) assuming a is positive.\nAnswer: a**(-1672\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 75*j + 5519. Calculate k(-73).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1881 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 13568.2, 5, 0.3, -3 in decreasing order.\nAnswer: 13568.2, 5, 1, 0.3, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose 4*b = -y*b. Suppose 0 = 4*u + w - 7, -3*u + 4 = -4*w - 6. Solve a + u*a = b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + s - 145, 2*q + q - 428 = 4*s. Calculate the remainder when q is divided by 65.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 353485140 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.21 - -0.41. Let o = 0.3 - x. What is the third biggest value in o, 5, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100939989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/15*9108\/(-528).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/24 + (-22)\/(-132) - 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 7. Suppose 0 = 4*z + 101 + 15. Let l(w) = 5*w + 138. Let q be l(z). Give b(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Suppose -l*z - 15 = -5*z. Solve -2*w + 3*b - z = 3, 0 = 2*w + 5*b - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 7*z + 28. Calculate x(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-2884)\/18*2. Let m = -317 - h. What is n in -2\/9*n**2 - 2\/9*n + m = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/10*-8*(-155)\/(-992).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28434 is divided by 10920?\nAnswer: 6594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 168 = 3*m, 0*m - 4*w = -3*m - 168. Let y = m + 102. What is the remainder when (-1 + 4)*y\/6 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 1438014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.676 - 0.124. Let t = -8.7 - o. Let n be 28\/20 - (1 - 0). Which is the closest to n? (a) -1\/4 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -33*t**2 + 465*t - 432 = 0?\nAnswer: 1, 144\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5349 + 5366 = 5*s - 2*u, 3*u = -3*s + 6408. Let f = s + -1396. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -396 - -395.837. Let s = 14.563 + k. What is s rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8808360?\nAnswer: 2, 3, 5, 11, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (5 + 5) - -3 - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 231529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(1\/33)*j*((j\/j**2)\/j)\/j*j*(j\/(j\/(j**(-1\/5)\/j)*j))\/j)**10 assuming j is positive.\nAnswer: j**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1320, 2637, 3950, 5259, 6564, 7865, 9162?\n\"Answer: -2*x**2 + 1323*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or 6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 22*w**3 - 2*w**2 - 1. Let b(h) = 23*h**3 - 3*h**2 - 2. Calculate 2*b(k) - 3*m(k).\nAnswer: -20*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (-17 + -16 + 22 + 15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/16*-172 + -1 + 0. Differentiate 13*s - h - 5*s - 9 wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-7)\/(-1) - ((-7 - -4) + 6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -109*d + 7*d**2 + 109*d. Let s(j) be the third derivative of -j**5\/30 + 12*j**2 + 1. Calculate u(s(b)).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-270)\/32*(-26)\/65. Factor x*l**2 + 39\/2 - 3\/8*l**3 + 18*l.\nAnswer: -3*(l - 13)*(l + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(392\/352) - -6. What is the third smallest value in 0.096, -0.3, y?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 127, 128, 129?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 4*p**2 - 1. Let w be (-6)\/3*3\/2. Let q be k(w). Let b be (-328)\/(-40) - 3\/15. Solve 0 = 4*g - b - q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4516.655072 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 17*h + 48. Does 12 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 327*t**3 + 786*t**2 + 304*t + 35. Let x(o) = -o**3 + 2*o**2 - 1. Suppose 30*m = 31*m - 3. Let p(n) = m*x(n) + g(n). Solve p(u) = 0 for u.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - -17 - 6\/(-3). Calculate the greatest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 22)\/(4\/92). Suppose 4*s - 1820 = -4*z, d = s - 0*s - 5*z. Suppose y + 3*y = s. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.11 + -7708317\nAnswer: -7708314.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by ((-16065)\/(-378))\/(10\/24).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3727*p**2 + 5478?\nAnswer: 7454*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*b = -4*b + 432. Let w(r) = -2*r**2 + 17*r + 6. Let i(g) = -4*g**2 + 33*g + 11. Determine b*i(d) - 11*w(d).\nAnswer: -2*d**2 + 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 3. Let t be c(0). Suppose -2*w + 3*z = 9, 6*w - 2*w - 3*z = -t. Solve -w + 0 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/4 + 651*a**3\/4 - 25419*a**2\/2 + 48893*a - 48246 = 0.\nAnswer: 2, 86, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 9*n**2 + 7. Let m(z) = 5*z + 1. Let x be m(-2). Let u be o(x). Solve u = -4*g - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/20 - 9*k**4\/8 - 3*k**3\/2 + k. Let i(h) be the second derivative of c(h). What is the tens digit of i(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 1\/5*j**5 + 0*j**4 - 1 + 0*j + 0*j**3 - 3\/2*j**2. What is the second derivative of r(y) wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 13*w**2 + 9*w - 8. Let s be l(7). Put 3, -3, -1, s in ascending order.\nAnswer: -3, -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 2\/9, -7, -5, -2\/199, 0.21?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*d - 368*d - 5157 = 0 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 28, 27, 26, 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 5*n**4\/12 - n**3\/3 + 9*n**2\/2 + 190*n. What is the remainder when 575 is divided by a(3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, 8152, 16601, 25050, 33499?\nAnswer: 41948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -30, 4, 1, -4.3069?\nAnswer: -4.3069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**2 + 4*i**2 + 10*i**3 + 8*i**2.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*x, 57*j - x = 54*j + 973. Suppose -13*y - 323 = -j. Solve 3*d - 4*o + 22 = y, -3 - 7 = 3*d - o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -160, -260, -360, -460, -560?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + (7 - (-5 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46536.56s in milliseconds?\nAnswer: 46536560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1607.\nAnswer: -4821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37557283.\nAnswer: 1019, 36857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5)*13*95\/5187. Which is the nearest to -2\/3? (a) x (b) 4 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.92 times -0.4\nAnswer: 8.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 758, 2626, 6138, 11810?\nAnswer: 20158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(128)*-5 - (sqrt(288) - ((2*sqrt(288) - sqrt(288)) + 3))*-6)**2.\nAnswer: -1440*sqrt(2) + 3524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 3:28 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 8:04 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 61 + (-7462)\/123 + (-7)\/57\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 - q + 2*q**4 + q**2 - 4*q + 6*q + q**4 to the form n*q**2 + h + s*q + v*q**3 + i*q**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 5*k**5 - k**5 + 49*k - 49*k - 6*k**5 + (5*k**5 - 2*k**5 - k**5)*(0 - 1 + 3) - 3*k**5 + 4*k**5 - 2*k**5.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 10*y - 4. Let d be k(12). What are the prime factors of 4848\/15*d\/8?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92 and -5.03.\nAnswer: 462.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 14*s**3 + 2*s**2 - 3*s - 4. Let a(p) be the second derivative of -13*p**5\/20 - p**4\/4 + 2*p**3\/3 + 5*p**2\/2 - 6120*p. Give -4*a(r) - 5*i(r).\nAnswer: -18*r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -10.7 (c) 3 (d) 123 (e) 0.5 (f) 4 (g) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*27\/9*2\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 5:30 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2519 = -1082. Let j = 5080 + h. Is 51 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7861, 31445, 70749, 125773, 196517, 282981, 385165?\nAnswer: 503069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 6*s + 2. What is f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 554 - 554. Suppose l = -6*g + 21*g - 30. What is the smallest common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(28) - (sqrt(28) - (sqrt(28) - sqrt(28)*-1)))**2 + -4.\nAnswer: sqrt(7) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 57*j - 57*j + (2*j**4 + 10*j**4 - 10*j**4)*(-1 + 3 - 3).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2450645270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/15*1*5. Suppose 0 = -4*v - 4*p + f, -5 = -v - 2*p + 1. Let j be (-10)\/((-1300)\/(-5))*4. Which is the nearest to v? (a) -3 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**2 + 188*z - 7040. Calculate h(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17703 is divided by 393?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001991213 rounded to 6 dps?\nAnswer: -0.001991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4671 - 1909. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 140*c + 161831 - 166047 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 1 p when three letters picked without replacement from {b: 2, g: 3, p: 4, w: 2, l: 1, v: 3}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -27, 1.2, 4, 0.\nAnswer: -27, 0, 1\/10, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p - 27. Let w be o(5). Let k(q) = 3*q + 25. Let m be k(w). What is the highest common factor of 32 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 5*g - 2. Let m = -22 - -16. Let c be j(m). Let z(f) = -f + 7. Let u be z(5). Which is greater: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 822 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -n + 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-42)\/105)\/((-2)\/640).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - -0.23. Let g = -0.6 + i. Let q = -4.7 + g. Which is the smallest value? (a) q (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.162, -11, -24, 2\/3, -1, 2, 0.4?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 813*n**3 + 3*n**2 + 36*n - 52 wrt n.\nAnswer: 4878*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56278 is divided by 405?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31\/62 - (3\/2 + -1). Solve -7*y + 2*y - 3*a + 10 = n, 5*y + a = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/2*(2 + 7). Let k = -5 - o. Suppose 4*q = 3*d + 214, d + 116 = 2*q + k*d. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-4)*(-2 + -9) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/6 - (-2 + -1))*-3. Is u less than or equal to -1\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 1\/6 (b) -4 (c) -5\/18 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/45*(6 - 1). Let g = -3 - u. Is -1\/4 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 9*i**2 + 11*i + 10. Let m be 1452\/48 - (-1)\/(-4). Suppose 0 = -24*b + 21*b - m. Determine f(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/6)\/(1\/(-6)). Let m be i*((-384)\/36 + (-2)\/(-3)). Suppose 7 = o + 3, m = 3*k + 2*o. Calculate the smallest common multiple of k and 28.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 21.1. Let c = -2 - d. What is the nearest to 0.1 in 1, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 120.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**4\/4 - 2*p**3\/3 + 3*p**2 - 10*p + 58. What is the tens digit of l(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsuhcuuskwcs. What is prob of picking 1 w, 2 s, and 1 k?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 7*c - 9. Let v be q(-4). Suppose 0 = v*b - 532 + 73. Factor b - 8*j**2 - 48*j**3 - 21*j**4 - 4*j**2 - 153.\nAnswer: -3*j**2*(j + 2)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -170529 and 5.\nAnswer: -852645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56856251 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 + -95 + 116 - 47.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265 - -267. Suppose f*t + 6776 = 4*j, -4*t - 1637 = -j + 64. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 666*z + 331*z + 337*z.\nAnswer: 2*z + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - d - 168, 2*c + 55 = 3*c + 3*d. Calculate the remainder when c is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208788 is divided by 69462.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 20 - 20. Suppose 5*n - 142 = -h, 2*n - 142 = -h - o*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46909.2ml?\nAnswer: 46.9092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 41 + 41 - 164 + 35 + 47.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 64\/20) + 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 8*x - 5. Let r be i(5). Suppose -4*w - 14 = -2, -37 = -4*p - w. Let j be (-4)\/2*(-125)\/p. What is the highest common divisor of r and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -5) + 5 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 595 + -243. Suppose -a - 63*z = 58*z - 125*z - 32, 0 = -2*z. What is the greatest common factor of a and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 0*j - 2*j + 6, 3 = -4*k - j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h + 4*h. Suppose h*z = 3*z - 99. Suppose -z = -l + 215. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -10) + (202 - 204)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 664290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9418\/(-12) - -1)*(-9)\/(-33). Let w = 214 + o. What is the common denominator of 91\/220 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 16*s**2 - 187*s - 2582. Determine r(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 3*s**2 + 2*s - 5. Suppose -3*g - 20 = -8. Let p be f(g). Let k be (-2)\/(p\/(-18)*2). Solve 3*j + k = -3*l, 3*l + 2 + 0 = -2*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70225 - -7584241\/108. What is the common denominator of u and 2\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a century in months?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1255 - 7315 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2940 - 2945. Is -43\/7 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(1521*y - 116*y**2 - 1521*y).\nAnswer: 232*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 9:30 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228786.\nAnswer: 2, 3, 17, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1161311812 divided by 1\nAnswer: -1161311812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w - 154 = -38*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(10\/(-4)) - -2. Suppose -2*q - g*q + 6 = 0. Solve 2*x + q = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 19 + 5 = 0. Let c be (z\/(-5))\/((-7)\/(-35)). Let l be c\/(-4) - (0 + -5). Solve -5*p + l = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/70)\/(6\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/84 and -83\/10899735?\nAnswer: 43598940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 - -3.4. Let l = -1045\/7 - -149. Let p = 1.05 + -0.05. What is the fourth smallest value in l, p, b, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 506584 and 0.037.\nAnswer: 506584.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 7:35 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*m - 20. Let y(v) = -v**2 - 7*v**2 - m*v**2. Let i(b) be the second derivative of -b**3\/3 - 39*b. Determine i(y(n)).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2174750 * 1.5.\nAnswer: 3262125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/(-70)*(-7)\/2. Suppose -5*g + i*w + 26 = -171, -177 = -5*g - 2*w. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a61 (base 13) to base 6.\nAnswer: -44311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a + 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12242*q**2*x**2 - 51*q**2*x + 67*q**2 - 651*q*x**2 + q - 231*x**2 - 2*x - 3 wrt q.\nAnswer: -24484*x**2 - 102*x + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*i + 2 - 12*i**4 - 3*i**2 + 0*i**3 - i**3 + 6*i + i**4 to the form q*i + a*i**3 + y + m*i**4 + l*i**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 + 14*f**3 - 5*f**3 - 180.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16 - 23)*20\/(-7). Suppose -2*c = 5*u - 21, 2*c - 4*c = 4*u - v. Find the first derivative of -13*w + c + 6 - 19 wrt w.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 62 = 3*z. Let a = -5 + 26. What is the remainder when z is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2. Let v(t) = 12958633*t. Determine b(v(d)).\nAnswer: 503778507686067*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10001 - 20003\/2. Which is the nearest to -3? (a) -2\/3 (b) j (c) 4 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 2*g**2 + 2. Suppose -5*t + 18 = -b, 4*t - 10 = -3*b + 3*t. What is the lowest common multiple of b and r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 0) + 3\/1. Which is bigger: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**3 - 3*b**2 + 1. Let m(h) = 5*h**3 + 4*h**2. Give -4*i(y) - 3*m(y).\nAnswer: y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/((z*z\/(z*z**(-2\/17))*z*z)\/z))*z*z)*(z**(-5)\/z)\/z)**23*(z**(-2\/3))**(-12)\/(z*z**(-2)*z*(z**(3\/4)*z)\/z) assuming z is positive.\nAnswer: z**(-15331\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19263*a**2 - 8708*a**2 - 9543*a**2.\nAnswer: 1012*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**6. Let n(l) = 30*l**6 + 25*l**2. Let m(f) = -4*j(f) + n(f). What is the third derivative of m(w) wrt w?\nAnswer: 3120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1 - 12 - (10 - (1 - (2 - 52)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22.3, -2\/7, -0.2, -17654\/15 in descending order.\nAnswer: 22.3, -0.2, -2\/7, -17654\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 8\/12)*-3. Suppose -6 + d = -x. Suppose 3*k - 59 = -i, 2*i + x*k - 61 = i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1246935.1 to the nearest one thousand.\nAnswer: 1247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - (44 + -30)) + -31?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i**2 - 5*i - 4. Let b(y) = 80*y**2 + 45*y + 35. Let o(n) = -4*b(n) - 35*w(n). Factor o(m).\nAnswer: -5*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -622779, -1245557, -1868333, -2491107, -3113879?\n\"Answer: b**2 - 622781*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 186 = -22*o - 50*o. Let l = 24.8 + -25. What is the biggest value in -3\/43, l, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 7. Let o(x) = -x - 4. Let m(q) = 3*i(q) + 5*o(q). Let t(k) = -k + 1. What is 2*m(r) - 3*t(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -17554, -0.2, 5.64?\nAnswer: -17554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -76681*x**2 + 7*x + 3. Let r be l(-5). Let b = r - 89135. Let y = b - -1106192. Round y to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -9.7. Let q = c - 4.7. Let v = q + 3.3. Sort 2\/7, -2\/5, v.\nAnswer: -2\/5, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/(-2)*0\/42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {j: 7, t: 2, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 11*y**2 - 78*y + 467. What is z(7)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w - 15. Suppose 4*p - 6*p + 2 = 0. Let z(k) = -k + 2*k - p + 1. Give z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -92*t**2 - 4592*t + 360. What is s(-50)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8\/479 + -8359\/12933. Let l = -5\/27 - a. Sort -0.5, 7, -2, l in decreasing order.\nAnswer: 7, l, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12584.6818 to the nearest 10.\nAnswer: 12580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -4*g - 39*i - 267, -23 = -5*g - 3*i - 114 - 100 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**2. Suppose 4*q + 2 = 2*b, 4*b + 5 = -b + 5*q. Let t = 5 + b. Let d(h) = 0*h**2 + 2*h**2 - 3*h**t. Give d(o(a)).\nAnswer: -49*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-69)\/92*249\/(-24) - 7 and 53\/524.\nAnswer: 4192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208176?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 569994.55 take away 2.688?\nAnswer: 569991.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/(-40))\/(4\/7930). Suppose -5*d - 2*o + 1985 = -7*o, p = 4*d - 5*o. What are the prime factors of d?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-1 - -4)) + 6. Suppose -3*d + 3*g = -3, 0 = -2*d + 15*g - 11*g - 6. Calculate the highest common divisor of d and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 141, -124, -497, -978, -1567?\nAnswer: -2264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*v + 3*f - 19, 4*f + 18 = 2*v. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*b + 38*b - 3*b)*(1 + 0 - 3) + (-1 + 1 - b)*(1 - 3 + 1) + 2*b - 7*b + 3*b.\nAnswer: -101*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*v = 16 - 21, -2*v - 2 = -16*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/1063 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q - 3*r - 1, 5*q = -5*r - 5. Solve 10 = -q*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 772058 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 16*m - 23. What are the prime factors of x(21)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 99616.06 micrometers?\nAnswer: 9.961606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerrrrerrrrjjjerer. Give prob of sequence eej.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 17 + 43. Let d(n) = 6*n + 212. Let o be d(-27). What is the greatest common factor of o and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2530?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*y - 198*y - 102 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-3*sqrt(91) - sqrt(91)) + sqrt(91)) + sqrt(91))\/sqrt(7).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -1\/9, 18.2, 2\/7 in ascending order.\nAnswer: -4\/9, -1\/9, 2\/7, 18.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 56113.39 centimeters?\nAnswer: 561133.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5786 = -4*n - 2*b, -3*n - b + 4364 = 4*b. Calculate the highest common factor of 117 and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d81b (base 16) to base 13.\nAnswer: 129210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -553, -1174, -1783, -2374, -2941, -3478, -3979, -4438?\n\"Answer: d**3 - 628*d + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 41 + 29 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15492 - -22638. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8665.148 nanometers in centimeters?\nAnswer: 0.0008665148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7405117*0.3.\nAnswer: -1.12215351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1972772\/9425 - 5236\/25. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 10\/7, -3\/5, 136.\nAnswer: -3\/5, 1\/2, 10\/7, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from dykbggckkykydy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.05 (c) -13.7 (d) 0.1 (e) -8 (f) 7 (g) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94\/185 + 4\/37. What is the second biggest value in -3\/2, 11\/2, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20185668?\nAnswer: 2, 3, 73, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q + 0*q**2 - 2*q - q**2. Let z(f) be the third derivative of f**6\/120 - f**5\/30 + f**4\/3 + 3*f**2 - 3191. Determine 8*h(g) - 3*z(g).\nAnswer: -3*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 23*q**3 - 28*q + 2. Let z(b) = 5 + 7*b + 24*b**3 - 13*b - 23*b - 2. Let d(f) = 3*n(f) - 2*z(f). Find the second derivative of d(s) wrt s.\nAnswer: 126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3.368, 0.2, 0.1, -4, 4, -5\/6?\nAnswer: 3.368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 450, 1811, 4084, 7269, 11366?\n\"Answer: 456*i**2 - 7*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/((o\/(o*((o*o**(-3\/8))\/o)\/o))\/o))\/(o**8*o\/(o*o**(9\/5))) assuming o is positive.\nAnswer: o**(57\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -1, 16 in descending order.\nAnswer: 16, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o = -255. Let h be 104 - 2 - 1\/1. Let t = h - o. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/27))\/a*a*a*a\/a**(11\/4))**(-1\/30) assuming a is positive.\nAnswer: a**(-19\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/179 + -173\/537. Let m = -55 - -717\/13. Let n be 1 + 1*-2 - 1. Which is the closest to n? (a) 1 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2304 = -130*t + 162*t. Sort -24, -4, t.\nAnswer: t, -24, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2779 + -2741. Let p be 475\/11 + 2\/(-11). Suppose h*f + 885 = p*f. List the prime factors of f.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7544184 tonnes to milligrams.\nAnswer: 754418400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1410364 divided by 4.\nAnswer: -352591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 506, 756, 1004?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.216? (a) 5 (b) -0.01 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/51*(-2874)\/14. Let d = o - 69. Let r = 0.3 - 0.1. Which is the closest to r? (a) -2 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 41*b + 16. Let r be i(-20). What is the remainder when 74 is divided by -19*((-8)\/r + -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207350 by -9425.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 less than 270773049866?\nAnswer: 270773049546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*s = -s - 22, 1 = s. Sort -3, c, 2, -1 in ascending order.\nAnswer: -3, -1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w**5 + 6264*w**4 + 192360*w**3 + 540016*w**2 + 527748*w + 173880 = 0. What is w?\nAnswer: -69, -630\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - 2*1\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 - -142. Suppose -2*a + p = t, 0 = -a + p - 2 - 0. Solve 0*v + 5*d - 15 = 4*v, 0 = -4*v - a*d - 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17110965 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: What is 0.00001057 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 4) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 210868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {b: 1, u: 1, d: 5, r: 7}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818966102.\nAnswer: 2, 409483051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 1)*(1 + 0). Let z(x) = 6 - h*x - 4 + 4*x + 1. Let k(o) = o**2 - 4*o + 3. Let r be k(3). Calculate z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -143 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -52626160.\nAnswer: 157878480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*s + 5. Let a = 26 + s. Let y = -7 + 19. Solve 0 = -3*v + 4*c - a - 6, v - 3*c + y = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 1. Let f be i(1). Let y(h) = h**3 - h - 2. What is the units digit of y(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1814 divide 309305683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -685 or -107614\/157?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/340*12\/28.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n - 41 = 3*s, 2*n = 5*s + 78. What is the remainder when n is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = 5 + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 663676158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 27341.\nAnswer: 27341.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 - (-1 + 5 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -20*o - 495. Let n(p) = 91*p + 1982. What is 9*c(s) + 2*n(s)?\nAnswer: 2*s - 491","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 24*q**2 - q - 29. What is the units digit of b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5053, -5095, -5137, -5179, -5221?\nAnswer: -5263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/10 - (0 + 1). Suppose -28 = -2*s - p. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51752.\nAnswer: 2, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + p + 143, -5*p - 21 = -b - p. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**1)\/i)\/i)\/i)**(-2)\/(i**0)**31*(i\/i**(3\/4)*i)\/(((i*i**2)\/i)\/i*i)*(i**0)**(-29) assuming i is positive.\nAnswer: i**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**7 + 9*s**4\/4 + 30*s. What is the third derivative of g(x) wrt x?\nAnswer: 2520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56)\/sqrt(32) - (sqrt(567) - sqrt(567)*5)) + 3)*-3)**2 + -5.\nAnswer: 1971*sqrt(7) + 336031\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/96 and -113\/168.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3388)*-3)\/(sqrt(4)*2*-6).\nAnswer: 11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 57 + 57.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -90*m - 4952. Let w be h(-55). Put w, 5, 0, 1, -61 in increasing order.\nAnswer: -61, w, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhy when three letters picked without replacement from hyhyhhyhhhhhhyhhhhhy.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54882528 or -54882522?\nAnswer: -54882528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnzzqqnn. Give prob of sequence nnnn.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6438\/19 or -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901619120?\nAnswer: 2, 5, 59, 191021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5*-1052\nAnswer: 5260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 19. Let n(g) = 1 + 0 + g**2 - 3 + t. Let a(p) = 2*p**2 + p + 4. What is a(q) - 5*n(q)?\nAnswer: -3*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/(-100)*-25*(-2)\/10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 3*y**2 + 4*y + 4. Let i(g) be the first derivative of g**2\/2 + 12*g + 42. What is the remainder when b(5) is divided by i(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**2 + 2*s + 9. Let f(h) = -5*h + 4. Let p be (-1)\/(68\/(-36) + 2). Determine p*g(a) + 4*f(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 11057372.86 to the nearest one thousand.\nAnswer: 11057000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 10:54 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from bqnqnne.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 16*y - 30*y + 22*y in the form k + z*y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2172 divided by -4?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4445600 and 1750?\nAnswer: 155596000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 420 = k. What is the remainder when k is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/1*(-276)\/1288?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*d + 8 - 8.\nAnswer: -242*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 11*v**2 - 9*v - 62. Let j(y) = 3*y**2 - 2*y - 15. Let z(q) = -9*j(q) + 2*w(q). Let b be z(0). Calculate the greatest common divisor of b and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**5\/20 - o**4\/3 - o**3\/3 + 2*o**2 - 11*o. Determine r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72.9979 + -0.0979. Let p = z + -73. Which is the closest to -0.1? (a) 0.2 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.0539 to 2 decimal places.\nAnswer: -37.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d. Suppose -o = 3 - 46. Let t(f) = o*f**2 + 35*f**2 - 81*f**2. Give k(t(i)).\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 998*l**3 - 1304*l**2.\nAnswer: 5988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 69?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.209 - 474.209. Let t = -474.048 - s. Is -1 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f**4 - 286*f**3\/5 + 8*f**2 + 24*f\/5 = 0.\nAnswer: -2\/9, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 + 3*f**2 + 3*f + 1. Let o be y(-2). Suppose -2*m + o = 3. Let b(r) = 3*r**2 - r - 1. What is the smallest common multiple of m and b(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, 2\/25, -2\/6865?\nAnswer: -2\/6865","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n - 2*n**4 + 2*n - 24*n + 38*n**5 + 10*n + 3 wrt n?\nAnswer: 760*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*g + 24*g = -37920. What is the lowest common multiple of 480 and g?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -8, 0 in increasing order.\nAnswer: -8, 0, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/6 + (-2)\/(-12). Let m(t) = -5*t**2 - 2*t + 7. Let y(h) = -14*h**2 - 6*h + 20. Let k(w) = 8*m(w) - 3*y(w). What is the units digit of k(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 308*c**4 - 16328*c**3 - 64016*c**2 - 50272*c + 19968 = 0.\nAnswer: -2, 2\/7, 624\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -119 (b) 2\/7 (c) -16.2 (d) 0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.06, 22.33 in decreasing order.\nAnswer: 22.33, -0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**7\/14 + 11*c**6\/5 + 129*c**5\/5 + 265*c**4\/2 + 275*c**3\/2 - 1500*c**2 + 209*c. Find g such that l(g) = 0.\nAnswer: -8, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ec7ad (base 15) to base 11.\nAnswer: 4310aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084*k**3 + 2 + k**2 - 2257*k**3 + 4*k**2 + 1116*k**3 - 5*k**2.\nAnswer: -57*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16 = -9. Suppose 0*s = p*s - 80. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*k**3*z + 125*k**3 - 4*k**2*z - 2*k**2 - 2*k*z + k + 66*z + 156 wrt k.\nAnswer: -72*k*z + 750*k - 8*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 34 = 4*w + 4, -4*w - 15 = -j. Is (-5256)\/(-40) - ((-6)\/j)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 - 121201?\nAnswer: -200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*l**2 - 3*l**2 - 74 + 61 wrt l?\nAnswer: 34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31758.066 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5316.4 grams?\nAnswer: 5316400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + -678\/5. Let u = -304 + 338.4. Let r = -34.5 + u. What is the closest to -0.1 in 2\/11, o, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (978\/(-2733)*-1)\/((-210)\/69). Let m be 9\/1822*(-6)\/(-9). Let g = b + m. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/90 and -83\/44253.\nAnswer: 442530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*b + 106*b = -977 - 739. Calculate the remainder when 866 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -206131023, -206131024, -206131025, -206131026, -206131027, -206131028?\n\"Answer: -y - 206131022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 + -9?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Suppose 0 = r + w*r - 9. Solve 0 = r*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**5*q\/q**(-2\/13)*q*q*q\/q**3*q*q*(q*q**(-2\/3)*q)**(11\/6)*(((q**(3\/2)\/q)\/q)\/q)\/(q\/((q**(-2\/3)*q)\/q)) assuming q is positive.\nAnswer: q**(959\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1925\/26565)\/(8\/504*35).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.479 microseconds in nanoseconds?\nAnswer: 535479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 730 divided by 5?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -301972960 divided by 3049\nAnswer: -99040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.88 - -13971.68\nAnswer: 13970.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2269971 by -68787.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2009499846?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:57 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r - o + 94, -4*r - 3*o + 186 = 0. Let g = r - 91. Which is greater: g or -44?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 23*f**2 - 42*f + 18. What is the remainder when 87 is divided by d(-21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1562 or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 15*u - o - 396, 5*u - 989 = 2*o. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-16))\/(328\/(-6560))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 32 - (-2 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + ((sqrt(363) - (-1 + sqrt(363))) + 2 + sqrt(363) - sqrt(363)*-2*5)*4 + 0)**2.\nAnswer: 21296*sqrt(3) + 1405778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127 - 9*u + 2*u**3 - 127 - 2*u**2 to q*u + c + h*u**2 + r*u**3 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*i + 12 = 0, -6*i = 2*q - 2*i + 6. Let t = -16 - 58. Let c be 1 - -3 - (-288)\/t. Is c not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-37 - -38)\/((-2)\/(-6)). Which is the biggest value? (a) 1\/3 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2626*f**5 - 6*f**2 - 73*f wrt f.\nAnswer: -157560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(-12\/5))**(-4\/5)\/(p**(-2\/35)*p*(p**(-6\/7)*p)\/p)**18 assuming p is positive.\nAnswer: p**(-1278\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.42 + -0.08. Which is the nearest to -6? (a) -5 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3\/13 + 82*i**2\/13 + 178*i\/13 - 258\/13 = 0.\nAnswer: -3, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, -3, 4, 1 in increasing order.\nAnswer: -3, 0, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 20*f**2 - 19. Let a(p) = -p. Give a(i(j)).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 p when four letters picked without replacement from pppypyppppppcppccyp.\nAnswer: 39\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 8887*s**4\/12 - 8*s**3\/3 - 42*s**2 - 11808*s. Find the second derivative of z(g) wrt g.\nAnswer: 17774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1673 - -1679. Let b(n) = 7*n**3 - 7*n**2 + 15*n. Let f(r) = -15*r**3 + 14*r**2 - 31*r - 1. Let k(z) = -13*b(z) - 6*f(z). Determine k(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 8 - 34 = -5*r - 3*a, -8551*a - 1260 = -8341*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 2 (b) -0.09 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 + 4*m**2 - 4*m**2 + (2 + 6 - 2)*(-3*m**4 + 4*m**4 + 0*m**4) - m**4 + m**4 + m**4 to j*m + a*m**3 + n + y*m**4 + c*m**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 2. Let s be m(-2). Let w = -50 + 51. Let u be (-6 - -4)*w - (-20)\/11. Which is the nearest to -1? (a) s (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m**2 + 29*m + 58. What is the smallest common multiple of 36 and q(-2)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348177.\nAnswer: 3, 17, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (sqrt(204) - (sqrt(204) - (sqrt(204) + sqrt(204)*-1) - sqrt(204))*5))\/(sqrt(48)*6).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 825, 9576, 33317, 79542, 155745, 269420, 428061, 639162?\n\"Answer: 1249*c**3 + c**2 + 5*c - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.405928 to three decimal places.\nAnswer: 0.406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 3.5. Let g = 1.3 - j. Round g to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4273 - -193. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 23414\nAnswer: -1\/23414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5398.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, 69, -6 in decreasing order.\nAnswer: 69, 1, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4434 - 55?\nAnswer: -4489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249 and 3460934?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -32967337 and -32967337 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3054b5 (base 13) to base 15\nAnswer: 17380d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**7\/147 - 2*z**6\/105 - z**5\/70 + z**4\/21 + 2*z. Find u, given that t(u) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 26\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 12*u**2 + 21*u + 100. Give m(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1)*(1 + 0 + -4). Calculate the greatest common divisor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 360 + -366. What is the closest to f in 5, -4, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -30. Which is the closest to -1? (a) -7\/3 (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7206590521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 5*a**2 + 7*a + 7. Let t be b(-6). Let h = -1277201\/189 + 6758. Let g = -1\/27 + h. Is g at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-109 - -110)*(-28 - 1)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-5 + -14 + 16 + 114. Let a = 115 - u. Solve 8 + a = -6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7639.699 rounded to the nearest 100?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4580 rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (sqrt(152) - (2*sqrt(152) + sqrt(152))*-3) - sqrt(152))*2)\/((sqrt(2352) + sqrt(2352)*2)\/sqrt(6)).\nAnswer: 20*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 203, 305, 409?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.445 rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, w: 1, k: 1, l: 4, u: 9}. Give prob of picking 2 n, 1 u, and 1 k.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 15850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90467020 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: (113\/565)\/((-1)\/6) + (-453)\/(-15)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 4*q - 3. Let d be -1 + 10\/6 + (-8)\/(-6). Determine s(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -15*g + 5. Let f(t) = 54*t - 6. Let d(l) = -327*l + 37. Let s(i) = d(i) + 6*f(i). Let n = -28 + 17. What is n*s(y) + 2*q(y)?\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.34*5.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from khhqheaaeqkkkeakkk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000088597546 to 6 dps.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -l - 7, -l = -1 + 5. Let s(v) = -v**3 - 4*v**2 - 6*v - 7. Let w be s(n). Solve w = 3*z - 2*x, 12 = -2*z + 4*z + 4*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 1. Let i be t(-1). Suppose 0*p - 4*p + 162 = 2*q, -4*q + 294 = i*p. Let d = q + 7. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b - 173*b - 474*b = -19818 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 533, 795, 1039, 1259, 1449?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24234291 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95298.73 millennia to decades.\nAnswer: 9529873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -360 + 360 + 8*k. Let w(i) be the third derivative of -7*i**4\/24 - i**2. Calculate -6*f(v) - 7*w(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 5*d**2 - 5*d + 6. Let t be y(3). Suppose t = -3*f + 5*f - 44. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 109. What is the smallest common multiple of b and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/14)\/((-5)\/140*2). What is the third derivative of x*o**2 + 2*o**6 + 0*o**3 - 2*o**3 - 6*o**2 + 5*o + 3*o**3 wrt o?\nAnswer: 240*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 7*h - 246. Suppose -3*x = -739 + h. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 4) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8647\/1340 - -228\/67. What is the common denominator of i and 47\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/165*((-230)\/(-700) - (-3)\/(-7))\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 11:47 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1327 (base 10) to base 2\nAnswer: 10100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/8 + 87*r**2\/8.\nAnswer: 3*r**2*(r + 29)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.5 - -13.3. Let t = -32.8 + 3.8. Let i = k + t. Which is smaller: i or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7547146 (base 8) to base 15.\nAnswer: 29d2e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2121354*h - 12532710 wrt h.\nAnswer: 2121354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Let s(j) = 10*j + 5. Let i(x) = 5*a(x) - s(x). Let z(b) = -14*b**2. What is i(z(q))?\nAnswer: 70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(2\/2))\/((-6)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h - 3*h - 2*h to the form z + w*h and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 4\/3*z**3 - 3*z**2 - 1\/12*z**4 + 23*z + 0 - 1\/20*z**5. Is c(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((1 + sqrt(448) + -1 - sqrt(448)) + -2*sqrt(448) + 2)*-1 + -3)**2.\nAnswer: -3634 + 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 - h + 1 + 4*h + 18*h**2 - 17*h**2 - h to m + j*h**2 + w*h + r*h**4 + z*h**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 8*k - 24 = 0. Suppose 0 = 5*v + a - 576, -a = k*v + 2*a - 348. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 1.96. Let t = -2 + l. Are 3\/2 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*n - 1836 = -263*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 78 - 3*g - 69 + 2 - 111 + 22.\nAnswer: -3*g - 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.8 + -97.2. Let x = l + 74.5. Let a = -49 - x. Sort 6\/11, 0, a, -2\/9 in decreasing order.\nAnswer: 6\/11, a, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/5, 197, -6\/11, 1\/5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 238500421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*o - 33 + 65 = 0, 83*o + 352 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 8 (b) 1.4 (c) -1\/321 (d) 1\/2 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 5. Let m(o) = o**3 + 12*o**2 + 8*o - 10. Let l be m(-11). Let w = l - 35. Let s = w + 7. Let z(q) = -2*q + 3. Calculate s*d(c) + 8*z(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 631200842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 42\/13, 0.6, 0 in descending order.\nAnswer: 4, 42\/13, 0.6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**6\/10 + 3*a**5\/20 + a**4\/4 - a**3\/2 + 7*a + 13. Let p(v) be the first derivative of g(v). Factor p(m).\nAnswer: -3*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151289 < 0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 54*f - 45*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 356 + -363. Let z be (-12)\/(p - -4) - 4. What is i in 0*i - i**5 + z*i**2 - 2\/3*i**3 + 0 + 5\/3*i**4 = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 0*f**2 - 159*f + 159*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 + -228. Let n = 130 + -140. Which is the second biggest value? (a) n (b) i (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 39 = -5*h. What is the third derivative of -8*b**2 + 76*b**3 - 5*b - h*b**2 + 16*b**2 + b wrt b?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiihb. What is prob of picking 1 b and 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16233, 16232, 16231, 16230, 16229?\nAnswer: 16228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -127, -215, -331, -469, -623?\n\"Answer: k**3 - 20*k**2 - 35*k - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 7*b + 14. Suppose 5*r - 4*h = 32, b*h + 3*h + 11 = -r. Suppose 860000 = -2*w + r*w. What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107776423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 94062 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.348 - 1375.79.\nAnswer: -1418.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1744184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -84185\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 1108526*y.\nAnswer: -2*y*(y + 554263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 9. What is the remainder when 17 is divided by -3 + 3 + (0 - r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-2340) - (-1)\/6)*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 15*y**2 + 56*y + 12. List the prime factors of x(16).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1 - (588\/(-36) + 15)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 18. Let f be s(-18). Suppose 0 = t + 5*t - f. What is the first derivative of -5 - t + 16*n**3 + 5 wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -74*a + 30. Let t = -63 - -61. What are the prime factors of f(t)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4272.6312 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**8\/168 - b**4\/24 - 3*b**2\/2 - b. Let z(s) be the first derivative of g(s). Find the second derivative of z(o) wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 36. Let f be (-3)\/s - 2\/10. Suppose 2*x + f*d - 42 = -2*d, 2*x - 30 = 2*d. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*y - 8, 2*y = -5*h + 7*y + 55. Let r(q) = q**2 + q. Let a(f) = 4*f**3 + 10*f**2 + 10*f. Give h*r(p) - a(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -755, -3026, -6809, -12104?\nAnswer: -18911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 57*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15*2*4\/8. What is the remainder when 3*115\/l - 4 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15211 and 70468217.\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8788206 and 966.\nAnswer: 202128738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*g - 18, -7*m - 4*g = -2*m - 17. Solve -m = d + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:26 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 179*x**2 - 4*x + 4. Is d(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119433149.\nAnswer: 3, 103, 402529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*b + 2266 = 69 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 7. Let o be h(0). Let t = 2 + o. Let z = 16 - 19. Put z, 2, t in descending order.\nAnswer: 2, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-2)*37\/11 - 0 and 31\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 0 + 3 + 1. Suppose v = -2*v - j*p + 12, 14 = 4*v + 3*p. Solve -w = -v*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37539471317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 14}. What is prob of sequence kbk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 18*p - 8. Suppose j - 2*r = 7 + 12, 4*j + 3*r = 109. What is the remainder when m(8) is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 8396278.\nAnswer: 25188834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3 + 263*q**5 + 208*q**5 + (2*q + 4 - 4)*(2*q**2 - 2*q**2 - 3*q**4).\nAnswer: 465*q**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37602*f - 12446*f - 12475*f = 12518*f + 5868 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + 4\/(-16). Let m = -0.1 + -0.2. Let y = -0.2 - m. Which is the nearest to 2? (a) r (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*n = 710*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 687960 and 1188005.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 3*j + 4*j - 27 + j**2. Let p be x(-18). What is the greatest common factor of 29 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31441 + 402440379\nAnswer: 402440378.68559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14695 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: Does 7 divide 1874904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968651317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6022\/13177?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 5, i: 1, c: 3}. Give prob of picking 1 i, 1 c, and 1 p.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18785.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 73. Put k, 11, -2 in decreasing order.\nAnswer: 11, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 420.03593 and -0.08.\nAnswer: 419.95593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weweweeeweewe. Give prob of picking 2 e and 2 w.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 249 and 25813?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -33*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3788*i*w + 9132*w wrt i?\nAnswer: -3788*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000047420547 to six decimal places.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1402502?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (750*d + 1209 - 1209)*(6*d - 49*d + 37 - 38).\nAnswer: -32250*d**2 - 750*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2890273285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (7 - (2 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -k + 2, -5*k = -0*k + t - 10. Suppose -3*p - 2*x + 25 = 0, x = -2*p - 4*x + 24. Suppose 55 = p*n - k*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2046*0.3\nAnswer: -613.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let k be s(-13). Suppose 3*u + 3*t - 5 = -2, -u = 5*t - k. Let l(m) = 2*m**3 + 4*m**2 + 3*m + 1. Let r be l(u). Are -14\/3 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l - 15. Let g be r(-3). Solve -g = 4*s + v, -3 + 2 = -s - 2*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7193656nm to kilometers.\nAnswer: 0.0000000000007193656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wywy when four letters picked without replacement from {y: 2, w: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raj. What is prob of picking 1 r and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjjcjjjcjjjcjccjjcj. Give prob of sequence jcc.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/4 + 3)\/4. Suppose 34*u - 14*u - 12480 = c. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290\/(-80)*-4*-2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3042 and 2322.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*l + 14*l - 195 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7 + -0.4?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**4\/4 - 2*l**3\/3 - l**2 - 3*l + 1. Suppose 24*h - 17 - 29 = 26. What is d(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -155, 4, 6\/5.\nAnswer: -155, -26, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121012001021 (base 3) in base 10?\nAnswer: 318607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00120758 rounded to 5 dps?\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 162*c**3 + c.\nAnswer: 162*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 5. Let d be s(4). Suppose -4*x + 3 + d = 0. Which is smaller: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24144\/18108)\/(4\/(-246)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + 7. Let r = 8 - m. Let w be (2 - 6)*2\/r. Are w and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27082607*d**4 + 8*d**2 - 52*d - 6530 wrt d.\nAnswer: -649982568*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*r + 32. Let g be r\/6 - 4\/(-12). Sort -4, g, 2.\nAnswer: -4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, -8, -67, -126, -185?\n\"Answer: -59*k + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4298, -24765, 0.3?\nAnswer: -24765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 8*x**2 - 7*x + 23. Let t be i(-9). Suppose -t*k + 999 = s, 0 = -8*k + 3*k - 4*s + 1011. What are the prime factors of k?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17505, -2\/25, 1\/2, 4.\nAnswer: -17505, -2\/25, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6*2685\/(-1253)*21\/5\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015912 is divided by 253969?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**3*w**2 - r**3*w + 21*r**3 - 303*r**2*w**2 - 4*r*w**2 wrt r.\nAnswer: -30*w**2 - 6*w + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 59*i - 334. Determine u(-21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*j**5 - 7626*j**4 + 20*j**3 - 49557023*j**2.\nAnswer: -4080*j**2 - 183024*j + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z - 2*x = 0, -4*z - 5*x = 0. Let j = 235 + -1641\/7. Which is bigger: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.09683 millennia to months.\nAnswer: 1081161.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1821*c**3 + 1833*c**3 + 1827*c**3 + 1834*c**3 - 7297*c**3.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y + 15*y**2 - 22*y**2 + 8*y**2 + 3. Suppose 18 = 48*g - 222. Determine i(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13812469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z + 73 - 85 - 5*z + (-1 - 4 + 6)*(-4*z + 0*z + 5*z) - 2*z - 2 + 2 in the form d + p*z and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0461 - -5.\nAnswer: 5.0461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d + 3*d**2 + 6 - d**2 - d**2 - 3. Let q be 10\/25 + 3\/((-15)\/32). Calculate t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -47*a**2 + 120. Let s(l) = l + 104. Calculate g(s(x)).\nAnswer: -47*x**2 - 9776*x - 508232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h + 73512 = 45*h. List the prime factors of h.\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 8*s**2 + 4*s - 35. Let n be c(9). Suppose 247 = 5*j - 5*k + n, 165 = 5*j - k. Calculate the remainder when 327 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15 from 0.0706305.\nAnswer: -0.0793695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1457 + 1271 = -250*i - 2522 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -355.4 + 19327.84558.\nAnswer: 18972.44558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 29 - 49 + 3*j - j + j in the form s*j + r and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 122 = 4*j, 0*f = -j + f + 26. Let t be 2 - -2 - j\/4. What is the units digit of t*3\/(-9) + 75?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 26768*o**2 - 534156*o + 2642112.\nAnswer: -4*(o - 6672)*(o - 11)*(o - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196)\/(-42)*(-3)\/(-8)*2*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in days?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1526 * 4\nAnswer: 6104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 7*u**2 + 4*u - 1. Suppose 0 = 3*v - 3*d + 1 + 2, -v + 19 = -5*d. Let y = 29 + -10. Calculate the remainder when y is divided by o(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/4 + 15*u**2\/4 + 23*u\/4 - 39\/4 = 0.\nAnswer: -13, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2))**(-1\/45))**(-1\/37) assuming m is positive.\nAnswer: m**(1\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -17. What is the third derivative of -17*u**2 + 11*u**l - 8*u**2 + 0*u**2 wrt u?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*a = 24, 0 = -2*z + 148*a - 145*a - 34 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*n**5 + 13*n**2 + 54*n**2 + 6*n**2 + 3*n**2 wrt n?\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + y + 17 = -5*q, 3*y = 5*q + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = 9*d + 15944 - 211919. What is the least common multiple of 54 and d?\nAnswer: 47034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -190.9.\nAnswer: 57.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 180*t**3 + 6*t**2 + 5*t - 6. Let d(i) = -360*i**3 - 13*i**2 - 11*i + 13. What is 13*c(q) + 6*d(q)?\nAnswer: 180*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2684 + -2679. Solve 3*z + s*q + 3 + 6 = 0, 9 = -3*z - 4*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/2 and 32\/22589?\nAnswer: 45178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 620642 and 1.1?\nAnswer: 682706.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -136, 0.9 in ascending order.\nAnswer: -136, -2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*v + 13264, -4*n = 28*v - 25*v - 13262. What are the prime factors of n?\nAnswer: 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a + a - 2 - a**3 + 4*a + 2*a**2 + a**4 - 3*a**3 in the form u*a**3 + i + h*a**4 + m*a**2 + t*a and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 1 + (1005 - 993)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -4)\/(12\/45). Let p be 50\/10 - m*1. Is 24\/(0 - 3\/p) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/96 and (-83)\/32 + ((-5)\/8 - -1).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -34*w + 981. Calculate the remainder when w is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -9 + -2 + 3 + 2 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -393 + 712. What are the prime factors of j?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmdddimqiffmqqio. Give prob of picking 1 q, 1 m, and 1 d.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(112) + (1*sqrt(112) - sqrt(112) - sqrt(112)) + sqrt(112))*-6 - (sqrt(112) - (-4*sqrt(112) + 1)))**2 + -5.\nAnswer: -88*sqrt(7) + 13543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1876 and 2.44681342.\nAnswer: -1873.55318658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -34\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 124834634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47711 + -23895. Calculate the smallest common multiple of 16 and o.\nAnswer: 47632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - -3*(-6)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 not equal to 54\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(4 - (-135)\/(-25)) - 4. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 3*c + 2. Let u be d(3). Suppose 0*i + 3*i = -3*x + 87, -3*i = u*x - 63. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/16)\/(2 - (-120)\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27385254*q**3 - 4*q + 5504503 wrt q.\nAnswer: 164311524*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256 + -246. Calculate the remainder when 18 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v - 2*v)*(2 + 1 + 2)*(-2 + 5 + 2) - 6*v + 1 - 1.\nAnswer: -56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9903 - 49513\/5. Find p such that -2\/5*p - 1\/10*p**2 - a = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3548463 less than -3548462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 161463382?\nAnswer: 161463382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in 1\/30, 0.2, 19?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + (-703 - 1))\/(2\/(-23)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12386299?\nAnswer: 12386299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2. Let b(h) = -2*h + 74. Give k(b(m)).\nAnswer: 8*m**2 - 592*m + 10952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/6 + (-2)\/12. Suppose -b*k + 7*k - 104 = 0. Suppose -3*y = -m - 131 + 18, -2*y - m = -82. Calculate the highest common divisor of y and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/7)\/((-80)\/56).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222241382 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*p**3*u**2 - 508018*p**3*u - 12934*p**2*u**2 - p*u + 2*p + 3*u**2 + 3*u wrt u.\nAnswer: -146*p**3 - 25868*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -51. Let y = 33 - q. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/12180 and -13\/84650.\nAnswer: 103103700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1251174 divided by 45.\nAnswer: -417058\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = m - 37, c - 4*c = -2*m + 46. What is the remainder when 85 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -711*a**2*f**2 - 62*a*f**2 + f**2 wrt a.\nAnswer: -1422*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 + 15 - (-25 + 37 - 1)) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9747, -11262, -12777, -14292?\n\"Answer: -1515*o - 8232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1081049\nAnswer: 3\/1081049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 16 - 184. Let d = k - 120. Let o be (24\/(-3))\/(8\/d). Calculate the greatest common divisor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 6*p + 14. Let y be i(-3). Suppose y*q - 16 = 2*f + 10, 3*f = -9. Solve 3*t - 13 = 4*g, g = t + q*t - 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 - 10830160090 + 10830160090.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 3 + -2 - (1 + sqrt(3072)))*-2.\nAnswer: 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 23*w - 3*w - 5*w - 9*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -k + 26, 55*f - 56*f = -k - 4. Let i(u) be the third derivative of 12*u**2 + 0 + 4\/3*u**3 + 1\/15*u**f + 0*u + 1\/2*u**4. Let i(x) = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 4*g**2 - 5*g + 4. Let m be 7 + (-9)\/(1 - -2). Suppose m = k - 2. Suppose 0 = -k*z + z - 25. What is t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.1476 rounded to zero dps?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 3) + (-22 - (-24 + -70)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8111.6646 + 8111. Let v = l - -0.0356. What is v rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -865*u**3 - 5387 wrt u.\nAnswer: -2595*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 8. Let q = 84 - 84.1. Which is the second biggest value? (a) -5\/3 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -322\/3 + 110. Suppose 0 = 2*t - 40 - 0. Let c = -30 - t. Calculate the common denominator of c and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3.4, 0.3, -1\/2, 7, 1\/7, -2?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v. Let n(q) = 45*q**2 - 73. Calculate n(t(w)).\nAnswer: 45*w**2 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1562 and 31724788?\nAnswer: 348972668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5270)\/(-51))\/31)\/(20\/(-48)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 44654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-5))\/(((-24)\/(-10))\/6))\/((-1888758)\/7074)\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/243?\nAnswer: -8\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20678 and 1470.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*l + 64*l - 15, 3*w - l = -14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(180)*-2 + -2 + sqrt(180)) - (2*(sqrt(20) + -2 + -3 + sqrt(125) + sqrt(125)))**2.\nAnswer: -2998 + 444*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868897?\nAnswer: 19, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 13*u - 25. Let t be y(-10). Factor f - f - 2*f + t*f**3 + f**2 + 0*f - 2*f**3.\nAnswer: f*(f + 1)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*o**4 - 45*o**3 + 111*o - 5502760 wrt o.\nAnswer: 172*o**3 - 135*o**2 + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.37 - -224494\nAnswer: 224492.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*n + 37. What is the highest common divisor of n and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/24 and -1\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 269*c**2. Let p be v(1). Let j = 3805\/14 - p. What is the common denominator of 71\/8 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(11 - 11 - b) - 1 + 1 + b + 1 - 2*b - 1 + (2 - 4 + 3)*(-2*b + b + 0*b) - 1053 + 2*b + 1045 + 3*b.\nAnswer: b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + r + 11 = -0*r, i + 17 = r. Let d = i + 20. Solve 0*u + 2*u = -d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 12*u - 18. Let n be z(-14). Suppose 100 - n = 5*d. Solve -3*w = -0*k - 2*k - d, 2*w - 23 = 5*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 + 0)*-1)\/(6\/300). Suppose 3*o = -q + n, -4*q + 241 - 17 = 4*o. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((7 - 18) + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001380214285 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 166451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 12*d - 317. Give z(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 34*n**2\/3 - 89*n + 360.\nAnswer: (n - 40)*(n - 3)*(n + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -53 - -0.053\nAnswer: -52.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 270018 and -2.7.\nAnswer: -729048.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2454 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.0579, -647, 1\/11 in ascending order.\nAnswer: -647, 0.0579, 1\/11, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/12*999\/(-204) - (150 + -149) and 49\/221.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 3 = -18*r + 3*b, -5*r = 3*b + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3967.\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2 - (-27 + -6885) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-1077))\/(22\/12). Let h = p + 438279\/39490. What is the common denominator of -37\/10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. Suppose 4*c - 15 = i*k - 3*k, 3*c - 4*k - 21 = 0. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - 4 = 0. What is the common denominator of ((-28)\/(-24))\/(b\/(-6)) and 67\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5968*q**3 - 1091.\nAnswer: 17904*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.888376 to 3 dps.\nAnswer: -0.888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470494 and 940?\nAnswer: 221132180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*i + 579*i + 192 = -403 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 15254, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 2}. What is prob of picking 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.381608 to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-15) - 66\/15. Let n = 4 + -2. Suppose -n*h = -h. Put h, -1, z in descending order.\nAnswer: h, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 minus -31848?\nAnswer: 31853.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 66.59381g?\nAnswer: 66593810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4800490 divided by -2400245\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 2*b - 3. Let w = 559 + -555. Suppose 4*s + w*z = 0, -5 = 4*s - 0*z + 3*z. Calculate d(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.027, 2\/3, 5, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*p - 2. Suppose 0 = -t + p*t. What is the nearest to 0 in t, -1, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (248\/6)\/(6\/9). Let h = 60 - b. Let v(k) = -k + 6. Let t be v(h). Let c(d) = -d**2 + 6*d + 6. Calculate c(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*u + 36 = 0. Suppose -2*s = 3*s - 25. Is s at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19868 is divided by 6619.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3840 and 2190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 + 12*g + 12. Suppose -59*j + 68*j + 9 = 0. Give a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 + 3*l - 3. Suppose 11*x = 15*x - 16. Suppose -x*k = -5*k + 2. Calculate w(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444846457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1837\/22 + 1\/(-2). Suppose 0 = -13*w + l + 34. Is w < 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*i + 65, -3*z - 3*i - 519 = -552 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:13 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40\/5 - 2)\/(2\/(-17)). Let g = c - -64. Find the third derivative of -9*m**6 + 4*m**2 - 24*m**2 + g*m**6 + 9*m**6 wrt m.\nAnswer: 1560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1096856 and -28051.382.\nAnswer: 1068804.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from xhnxmjvmmjmxjjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -565 divided by -59751\nAnswer: 565\/59751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -18*u**2 + 11480*u + 14059. Determine z(639).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -80 + 3*(-4)\/(-12). Let j = h + 236. Suppose -4*l = -3*d - j, -41 = -2*l + l - d. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 19*g + 142. Give i(-7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (19222\/(-5) - (-22)\/55)\/(8\/(-80)).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2084385 is divided by 2084374?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 2*c**2 - 2*c - 4. Suppose 541 - 1755 = 4*j + 3*n, 4*j + 4*n + 1216 = 0. Let s = j - -305. Calculate b(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192841505*k**3 - 252246678*k**2 wrt k?\nAnswer: -1157049030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3, 2*i - 4*d + 4 = -0*d. Suppose 4*m - 3 - 5 = i. Solve 0 = 2*c - 0*w - m*w, -3*c = -2*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/(-12) - (-4)\/(-6). Let w(i) = i**2 - 9*i + 24. Let f be w(6). What is the units digit of f\/8*(-1 - (-486)\/z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001111110010110001011 (base 2) to base 4\nAnswer: 101332112023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2128, 4260, 6392, 8524, 10656?\nAnswer: 12788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/36 + (29\/4 - 7). What is the closest to -1 in 0.5, -4, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1134 and 384.\nAnswer: 72576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/2079 and 5\/9.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213 - 857. Let a = p + 667. What is the least common multiple of a and 32?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 5*t**2 + 8*t**2 - 3 - 5*t**2)*(t - 4*t + 0*t)*(-t + 118 - 118).\nAnswer: -6*t**4 - 12*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-6 - -6) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1960 and 39\/112406.\nAnswer: 2248120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y. Suppose 3*a + a - 24 = y. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 467 - 44. Let x = y - -75. Calculate the remainder when 56 is divided by 19 + (4 - x) + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28216 - -75707. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2932547 (base 10) in base 13?\nAnswer: -7b8a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2541 by -847.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489796 (base 10) to base 7.\nAnswer: 4106656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let y(d) = d**2 - 11*d - 82. Let x be ((-6)\/(-33) + (-850)\/(-165))*3. Let v be y(x). Give b(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20595 + 2.91888?\nAnswer: -20592.08112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 9*l - 2*l. Let o(n) = -5*n - 6*n + 6 + l - 7. What is o(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -640 in 5\/3, -0.02, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-16) - 1837\/(-4). Suppose -4*h + a = -121. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 2 + 7)*(7*l + 0*l + 0*l)*(7 - 1 - 4)*(-6 - 5*l**2 + 6).\nAnswer: -1330*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 51*t - 1120. Let k be a(22). Solve k*p = -7*p - 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 794 - 1377. Let q = 5315\/9 + v. Calculate the common denominator of q and -95\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 8:23 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q - 34. Give w(16).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*i - x, -3*x + 1 + 8 = 0. Suppose -i*c + 4*c = 56. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/135? (a) -1\/3 (b) 2\/11 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 51, 2, 4 in increasing order.\nAnswer: -1, 2, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.84*-0.12.\nAnswer: -0.1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -276 - -1377\/5. Sort -2\/3, 0.01, j, -1 in decreasing order.\nAnswer: 0.01, j, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + w**2 + w**2 + ((2 - 3 + 0)*(-3 + 0 + 4) + (-1 + 5 + 1)*(0 + 2 - 1))*(5*w**2 - 4*w**2 + 2*w**2) as h*w**2 + f + a*w and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/141 and 32\/33.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -911, -1019, -713, 145, 1693?\nAnswer: 4069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 + s - 1. Let h be f(1). Let j(d) be the second derivative of -d**h + 0 - d + 1\/6*d**3. Give j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1\/681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 1, y: 1, e: 1, k: 1}. What is prob of sequence qok?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 11*q + 9. What is w(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 56*h + 17*h + 14 + 8 to l*h + j and give l.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*h - 2242 + 2190 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc - 20179?\nAnswer: -20257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4166 divided by -38066\nAnswer: 2083\/19033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:37 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 7 + 3 = 0. Let z = 4 + r. Suppose z*w - 24 = w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1169 and 9853.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187308 and 136125.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13503 + 10123*u**4 - 13503 + 2*u**4 - 4*u**3 + 4*u**3 + (-5*u**2 + 3*u**2 + u**2)*(-2*u**2 - 5*u + 5*u).\nAnswer: 10127*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 + 2*w - 1. Let i be b(1). Suppose 4*c = c + i. What is the common denominator of (284\/18)\/(c\/3) and -63\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 637660, 637659, 637650, 637627, 637584?\nAnswer: 637515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 18 (c) 12 (d) 23 (e) -7 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 14. Let a be d(5). Solve 3*j = -5*r + 1, r = 5*r - a*j - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 32) + (-19 - -74)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 7535*q - 30133. Calculate s(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1401.5 and 229331.\nAnswer: 230732.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z - 4 - 2*z**3 + 3*z**4 - 54 + 2*z**2 - 5*z**4 + 52 + 0*z**4 as p*z + n*z**3 + r + c*z**2 + g*z**4 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + m**2 - 4*m**2)*((m**3 - m**3 + m**3)*(-4 + 2 - 3) + 0*m**3 + 0*m**3 - 2*m**3).\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -871 - -170. What is a rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 94*x. Let b(z) be the second derivative of 0*z**3 - 3\/140*z**5 - 1\/105*z**6 + x - 1\/84*z**4 - z + 0*z**2. Suppose b(g) = 0. What is g?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - -3.4. Suppose -214*i = -1819*i - 3360*i - 49650. Is i < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233267259*g**3 - 359769954*g.\nAnswer: 1399603554*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - 2*k**4 + k**2 + 4*k**3 + 3 - 2*k**2 + 2*k in the form i*k + m*k**4 + a + x*k**3 + y*k**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**3 - 15*h + 10 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 342021 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1368\/(-152)*(-8)\/900.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52869, 47985, 43101, 38217, 33333?\n\"Answer: -4884*u + 57753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -e9?\nAnswer: eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 2, 7, -4895 in decreasing order.\nAnswer: 7, 6, 2, 1, -4895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866 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: 1 + -2 + 24 + -32639 + 32716\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/24*(-4)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (60\/(-50))\/(6\/(-100)). Solve -5*t = 5 + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 11*f - 5*i = 33003, -2*f + 16504 = -2*i. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3131*a + 3124*a = -28. Put -2, -4, -3, -264, a in increasing order.\nAnswer: -264, -4, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111260 + -48219. Let z = 443783\/7 - j. Let f = 356 - z. Is f at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*sqrt(175)*3.\nAnswer: 450*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:23 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54455 is divided by 3178.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -36803.1 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2641846 = 19*s - 2643290 for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7209102*o**4 - 7349515?\nAnswer: 28836408*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6969 divided by 7126.\nAnswer: 6969\/7126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144 - 146. Let t = -14 - -13.1. Let y = -5.9 - t. Which is the closest to 0.1? (a) w (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -477226\/11 less than -43385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 15. Let u be t(-5). Let y be -4 + 1 + 77 + 1 + u. Let b = y - 10. What is the highest common factor of b and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6600 and 2182400?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -95, 0, -0.10266?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*d*o**4 - 5*d*o + 2*o**3 - 9*o**2 wrt o.\nAnswer: -1560*d*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/6 - (-9454)\/87. Suppose -i*t + 144 = -113*t. Which is greater: -74\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272*0.3\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2848, 1.1, 0.07.\nAnswer: 0.07, 1.1, 2848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103311033 - -10?\nAnswer: 103311103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c**2 - 8*c - 27. Let k be 36\/(28\/70 + (-22)\/(-20)). Let f be k\/10*(-300)\/90. Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7200 and 325400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2718, 2657, 2598, 2541?\nAnswer: 2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 23*k - 4*k**2 - 26*k)*(-2*k + 1 - 1)*(-2*k**2 + 2*k**2 + 2*k**2).\nAnswer: 16*k**5 + 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.16 (b) 24 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3 + -6 - -5) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 30*x**2 + 10*x. What is a(3)?\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 11) + 8 + -63 + 13 + -19.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/(((-2)\/4)\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-14 - -6) + 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4432361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -2\/17, -0.06171, 0, -9 in decreasing order.\nAnswer: 5, 0.5, 0, -0.06171, -2\/17, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*(-39)\/52\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*v = -57 + 52, 0 = 5*a - 5*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:29 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/21 - ((-1958)\/534 - (-142)\/21).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by -2?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - d = 68 - 75, 5*u + d - 43 = 0. Suppose 0 = -2*q - 3*q + 110. What is the remainder when q is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 75 = -4*o, o - 2*v = -v + 20. Let x be o\/(-13) - -1 - (-848)\/104. Suppose -x*j + 1091 - 171 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007665806 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -504 (b) -0.2 (c) -4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.9652 to one dp.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 + 13 = 0. Suppose k = a*k. Suppose 5*m - 3*n = -k*n + 6349997, m - 4*n - 1269996 = 0. Round m to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -191. Let m = u - -149. Calculate the greatest common divisor of 143 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.31 and 11.\nAnswer: -3.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3159*v**4 + 1523?\nAnswer: 12636*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -8. Let i be (-3)\/18*4828\/(-6). Let k = 134 - i. Which is the third biggest value? (a) 0 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1363 + -1365. Which is the nearest to -2\/11? (a) 0.4 (b) 2\/13 (c) -2\/7 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 1301*g**4\/24 + 4769*g**3\/6 + 4*g**2 + 21*g + 3. What is the first derivative of r(c) wrt c?\nAnswer: 1301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 7*w**2 + 9*w + 19. Calculate s(-6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -7\/47, 3, 0.2, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*f + 1308*f + 10 - 53 - 35.\nAnswer: 1707*f - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*f - 10 = 0, 4*f + 8 = 4*m - 8. Let g(u) = u + 4. Let a be g(-3). Calculate the remainder when 73 is divided by a*19\/5*m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + 16 + -2 + (-9 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjsss. What is prob of picking 1 j and 2 s?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-1 - -2) - -1) + -1. Let n be ((-9)\/m)\/3 + (-306)\/4. What is the common denominator of (-10)\/4*n\/(-25) - 1 and -19\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -2\/11 (c) 2 (d) 2\/19 (e) 3\/179657\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1086\/1448 + 153\/(-12) + (-2 - 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41033 (base 5) to base 2.\nAnswer: -101001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-191)\/(-7) + (-2)\/7. Let j be (-3)\/(3*(-3)\/w). Let n = 29 + -21. Is j < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 332*b**2 - 1304*b + 1296.\nAnswer: -2*(b - 162)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 5. Calculate the least common multiple of 8 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059 take away 15?\nAnswer: -14.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 601 divide 6661484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 493251567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 4*z**2 + 4*z - 3. Let c be n(2). Suppose 2*j = 3*j - 2. Let q(w) = 0*w + w + 4 - j. What is q(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 7:26 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 347*s**2 - s - 14 - 347*s**2 + s**4 to m*s**3 + a*s + k*s**2 + x*s**4 + h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/3 + 10108*k\/9 + 6736\/9 = 0. Calculate k.\nAnswer: -1684, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*r - 2*p - 15, 3*r - p - 12 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10230092 or 40920365\/4?\nAnswer: 40920365\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*j**3 - 62*j**3 + 219*j**3 - 29*j**3 - 67*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/2 - 0 - 1. Suppose -f*d + 0*d + 4 = 0. Suppose -d*k + 28 = 2*k. What is the remainder when 13 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 - 18688*b**3\/3 - 90152656*b**2\/3 - 8779611776*b.\nAnswer: -b*(b + 312)*(b + 9188)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1013522 (base 7) to base 3\nAnswer: -20011110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133180 (base 11) to base 7.\nAnswer: -1530562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18310014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - 4*i)*(-185*i**2 + 36*i**2 - 654*i**2 + 13 + 107*i**2).\nAnswer: 1392*i**3 - 26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2910072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730161.\nAnswer: 3, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 44, 105, 194?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 24 = 14. Solve 2*q + p*f = 14, -2*q = q - 2*f - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.3, -1.1, -1\/7 in decreasing order.\nAnswer: 0.3, -1\/7, -1\/6, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/3)*t)\/t**(2\/7)*(t*t**7)\/((t**2*t)\/t*t*t))**(-33))**(3\/41) assuming t is positive.\nAnswer: t**(-3729\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3895018066 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {j: 1, n: 11, m: 7}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -15*f**4 - 25*f**3 + 25*f**2 + 25*f - 10 = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*n + 764 - 796, -n - 4*b = 24 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 212220001212222?\nAnswer: 212220001220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -489*h**3*n + h**2*n + 2*h + 2*n + 71 wrt h.\nAnswer: -1467*h**2*n + 2*h*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 43 = -3*w. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*a = 11, -18*a - 5 = y - 15*a. Solve -l + 10 = 3*t + 3, -y*l = -4*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2 + (-168)\/144. Which is the closest to 1? (a) d (b) 0.04 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-13\/5))**(-1\/14))**(1\/5))**(-1\/26) assuming x is positive.\nAnswer: x**(9\/4550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-10) - 6\/(-10))*175\/3395. What is the third biggest value in b, 1\/5, 3, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -166425?\nAnswer: 166421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - (4 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + v + 1. Let w(s) = 4*s**2 - 2750*s + 3. Calculate -3*c(u) + w(u).\nAnswer: u**2 - 2753*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/6 - 5*t. Let d(n) = 3*n + 1. Calculate 4*c(k) - d(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(sqrt(104) - (sqrt(104)*-3 + sqrt(104) + sqrt(104)) - sqrt(104))\/sqrt(8).\nAnswer: 3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 11*h + 64, -5*h - 8 = -28. Factor -95\/3*g - d*g**2 - 10.\nAnswer: -5*(g + 6)*(3*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.1035 - -6.1475. What is g rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:34 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s + 34. Suppose -w - 2*r - 323 = -4*w, 0 = 4*r - 8. Suppose 18*f = -w - 143. Determine o(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 188, 680, 1170, 1658?\n\"Answer: -t**2 + 495*t - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = 0. Suppose x = 2*b + 2*b + 16. Let k = 1 - b. What is the smallest common multiple of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53 - 53 - 9*w)*(2*w - w**2 - 4 - 2*w) to the form n*w**3 + g + i*w**2 + y*w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2958 and 347478?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667931, -667734, -667545, -667370, -667215?\nAnswer: -667086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(175)*3 - sqrt(175)) + -4)**2 + -1*(-3 + 2 + sqrt(1008))**2.\nAnswer: -136*sqrt(7) - 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1375*c - 15083. What is p(-11)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.121 - 11.721. Let u = -10.6 - v. What is the closest to 3.7 in u, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4877 - 3969. What is the highest common factor of a and 2951?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**3 + 2*j**4 + 594 - 596 - 278*j + 7*j**3 - 2*j**3 to g*j**2 + v*j**3 + i*j**4 + w*j + f and give w.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 4611274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 1988*g - 1983*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 + (-25752)\/27. Let r be 1\/(1 + c\/955). Suppose r = 5*n - 0*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11638 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and 0.005007.\nAnswer: 0.085007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(13\/2)*g**(-5))\/((g\/(g*g**(-3\/16)))\/g*g**(-1\/18)) assuming g is positive.\nAnswer: g**(-1387\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.1? (a) 5\/2 (b) 5 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 26808197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*f - 93, u = -5*f - 0*u + 105. Suppose -3*s = -3*q - 24, 3*q + 10 + f = -s. Let o(b) = -b**2 - 14*b - 24. Is o(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -29*q**2 + 2*q. Let s(k) = -2840*k. Calculate d(s(f)).\nAnswer: -233902400*f**2 - 5680*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**1*l))*l*l**8)\/(l*l\/l**(-16)*l\/((l**(1\/7)\/l)\/l)*l) assuming l is positive.\nAnswer: l**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 13*w**2 - 3. Let k be i(-13). What are the prime factors of 4 - 232\/(-7 - k)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1. Let h(s) = -5*s**3 + 6*s - 3. Let i(w) = -3*b(w) + h(w). What is the second derivative of i(t) wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -46*n**2 + 112*n - 97. What is m(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 23. Let w be 1 + o - (10 - 12). Let f(p) = -7*p**2 - 2 - 7*p**2 - 10*p + 11*p + 13*p**2 + p**3. What is f(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = y + 12, 0 = 13389*y - 13387*y + 2*c - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 4. Let n be (-3)\/(-6) - 14\/z. Suppose i = -2*l + n*i + 7, -5*l = i - 9. Solve 5*y - 29 = d - 4*d, -3*d = -l*y - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*o + 110 = -585*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(684) + -1)**2.\nAnswer: -36*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.35? (a) 4 (b) 0.3 (c) 6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(72) - sqrt(8)) - (((sqrt(34) - (sqrt(34) - sqrt(68)\/sqrt(2)))\/sqrt(2))**2 + sqrt(17))) + (sqrt(2057) - (-1*sqrt(2057) + -1))**2.\nAnswer: 87*sqrt(17)\/2 + 8212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 37\/11, -0.4, 2 in decreasing order.\nAnswer: 37\/11, 2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 1910476*z + 1910474.\nAnswer: 2*(z + 1)*(z + 955237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 6701*l + 1629676. What is g(264)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p. Let g(w) = -214*w. Give u(g(n)).\nAnswer: -856*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -314 + 313.492. Let i = 0.008 + s. What is the biggest value in -0.17, 3\/4, -1, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 70. Let f(x) = x + 2. Calculate the lowest common multiple of k and f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 96233818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-338)\/(-13) - 10\/(-2). Let s(o) = -15*o + d*o - 11*o - 7*o. Let f be (-2)\/((-1)\/5*-2). What is s(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5) - 3\/((-30)\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:05 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 88, 2, -1 in ascending order.\nAnswer: -1, 1, 2, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -25*g**5 + 6*g**2 - 53*g + 6. Let p(v) = -25*v**5 + 7*v**2 - 53*v + 7. Let z(o) = -6*p(o) + 7*y(o). What is the second derivative of z(u) wrt u?\nAnswer: -500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2904 and 264.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 38. Determine z(-15).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hshhsdh. What is prob of picking 3 h and 1 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/45 and 32\/495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.587 * 6.9\nAnswer: -10.9503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6709?\nAnswer: 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -184548.5 to the nearest 100.\nAnswer: -184500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c - 28. Let k(t) = -9*t - 28. What is 5*a(u) - 4*k(u)?\nAnswer: 61*u - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-3 - (-6 - 0))*39\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/5 + 14*d**4\/5 + 6*d**3 + 18*d**2\/5.\nAnswer: 2*d**2*(d + 1)*(d + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 632134798 to the power of 1\/2, to the nearest integer?\nAnswer: 25142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 8 + 2*d - 5.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -30?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-240)*4)\/(2\/135)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2280\/1080)\/(17\/306)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/9)\/(16\/24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6603000 + 6603000 - 9657*f.\nAnswer: -9657*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.605 plus 3682.959?\nAnswer: 3791.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/55 and -37\/145?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -8\/3, 3, -0.6, -50, 30 in descending order.\nAnswer: 30, 3, 2\/13, -0.6, -8\/3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1, -74*j - 23026003 = -78*j - 3*o. Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**6 - 3*w**3 + 5*w**2 + 2*w wrt w.\nAnswer: 240*w**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 + 484*p**3 - 2896*p**2\/3.\nAnswer: -2*p**2*(p - 724)*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-6)\/(-4) + (-30)\/(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9426 divided by 16.\nAnswer: 4713\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -0.1, -609, 4, -32?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 291*s**2. Let l(m) = 137*m + 136. Let g(n) = 47*n + 48. Let t(q) = 17*g(q) - 6*l(q). Give t(z(x)).\nAnswer: -6693*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 989 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 641*i + 46. Is d(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49257*g**3 - 2681*g - 35331405 wrt g?\nAnswer: 147771*g**2 - 2681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**5\/40 - 3*v**4\/16 - 13*v**3\/24 - 3*v**2\/4 - v\/2 + 6. Factor s(j).\nAnswer: -(j + 1)**2*(j + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 + -65. Suppose 0 = 5*i - m - 162. What is the remainder when i is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1511284 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8795*s**3 - 136*s**2 + 1301566*s wrt s.\nAnswer: 52770*s - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/(-33))\/(1\/(-3)). What is the tens digit of (76\/10)\/(y*8\/140)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8740.371 weeks to hours.\nAnswer: 1468382.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7925420 greater than or equal to -7925419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 274 + 1672?\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/78 + (-460)\/455?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-350)\/(-8))*(-5)\/2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 10889*m**2 - 2*m + 12889*m**2)*(-2 + 0 + 0).\nAnswer: -4000*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -0.5, -0.9, -1\/5, -439\/277?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -3 (c) 0.2 (d) -2\/13 (e) -4 (f) 0 (g) 75\/26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -907, -1043, -1277, -1615, -2063, -2627, -3313?\nAnswer: -4127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z - 5. Let t(w) = -4*w - 2. What is -2*a(n) + 5*t(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 13 + 17 = 5*q, -5*q = 2*y - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 9792.\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Let m = -2 + u. Solve -9 = -5*i + m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73292256 divided by 24430752\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g - 5*i, g + 5*i - 4 = 1. Suppose -2*h + 1 + 11 = g. Solve -5*l + h = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1021386*w**2 - 1043735*w.\nAnswer: 2042772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose 24 = -16*d + 88. Solve -2*f = -y + d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/4 - (-9)\/3)*-6. Solve 0 = 2*a + w*a - 5*s, 4*a + s - 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/(-56) + 37\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 91. Let w = j + 31. What is the common denominator of -51\/11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -573 - -572. Suppose 0 = 4*l - 2*l + 4. Let j = 16 - l. Which is greater: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/20 - 3*w**4\/8 + 6*w**2. Factor c(s).\nAnswer: -3*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15)*(-1071)\/2380)\/(3\/5).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5064 and 9348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/(-2*12\/80)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u - 3*u + 3*u to the form j + g*u and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(7\/9)*v*v)\/(v\/(v**(-32)*v*v*v))*(v**1)**(42\/11))**(-1\/9) assuming v is positive.\nAnswer: v**(2372\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -104*m - 49*m. Solve -4*p - 4 = 0, m*p + 25 = -5*r + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*48\/(-14040)*(-6)\/8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -81, 60, -2, 4, -1 in descending order.\nAnswer: 60, 5, 4, 2, -1, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 290593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h - 145 = -5*d, -2*d + 5*h = -75. Let w(f) = f**2 - 11*f + 9. Let z be w(7). Let n = z + 28. What is the remainder when d is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/18 - (-329)\/63. Solve a = -3*a, -5*f = a + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1464 and -113\/555588.\nAnswer: 1111176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 3 (c) 0.3 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 9. Let f be (6 - s - 1)*(-1)\/(-8). Which is the biggest value? (a) 0.32 (b) -4 (c) f (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1344 + 1341 - 2687 - 37*y**2)*(1 + 5 - 4)*(-2 - y + 2) as j*y + i*y**3 + s*y**2 + n and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*m + 36 = -404*m. Let i = -2 + 3. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 18*f. Suppose 4*y - 912 - 928 = f. Suppose -4*p + 2*n + y = -p, 0 = 5*p - 3*n - 766. What is the greatest common factor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 7*w**2 - 7*w + 2. Let n be c(6). Let y be 9\/((-72)\/32) - 14\/n. What is the fourth biggest value in -5, y, -2, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456)*1)\/(sqrt(12) + (sqrt(12) - sqrt(132)\/sqrt(44))) + -4.\nAnswer: -4 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*q**2 - 2*q**3 + 112*q**2 - q**3 + 136*q**2 + 286*q**4 + 5*q**3 wrt q?\nAnswer: 6864*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.142 + -91.142. Let i = -90.899 - p. Let m = i + 0.029. Round m to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15170294*j - 38424466 wrt j.\nAnswer: 15170294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4289.179l in millilitres?\nAnswer: 4289179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.037, 7, 53\/7 in increasing order.\nAnswer: 0.037, 1\/6, 7, 53\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (585\/60)\/(3870\/24 + 7). Are 1 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -85\/2*v**3 + 1\/12*v**5 + 35\/12*v**4 + 79*v**2 + 0 + 0*v. Factor d(q).\nAnswer: 5*(q - 3)*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 28. Suppose -l*z + 3 = -81. Solve -h + 5*h - n + 13 = 0, -2*n = -h - z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2. Let o(x) = -6947*x. What is z(o(t))?\nAnswer: 48260809*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2890*x + 11251 - 556388 = 11092*x + 209891 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 52.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7982136.935 less than 105917?\nAnswer: -7876219.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2695))\/((sqrt(220)\/sqrt(5))\/sqrt(4)) + 4.\nAnswer: 4 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4428?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 169872835.\nAnswer: -6794913.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3048 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 188*k**3 - 15*k**2 + 2*k + 8. Let w(r) = 189*r**3 - 18*r**2 + 2*r + 10. Determine -6*j(u) + 5*w(u).\nAnswer: -183*u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3383 = h, -2*n - n + h + 5076 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 672 + -21507\/32. Let n = m - -19\/32. What is the closest to -1 in 10, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -q + 186, 0*q - 2*q - 2*w = -372. Suppose -10*n - 12 = -252. What is the remainder when (-2)\/4 - q\/(-4) is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**7\/840 - q**4\/6 + q**3\/3 + 1. Let j(m) be the third derivative of s(m). Differentiate j(a) with respect to a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2667959 is divided by 3586?\nAnswer: 3561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*u**2 - 6*u**2 - 113*u**2 - 4*u + 3 - 4 - 42*u**2 to the form j + p*u**2 + v*u and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3287 + 3286.98213. What is g rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 - 5.11. Let f be ((-3)\/6)\/((-45)\/(-6)*8\/(-80)). Let z = -5 + 5.02. What is the nearest to f in 0.3, z, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/13958 and 71\/7976.\nAnswer: 55832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**2 + 5*m + 6. Let l be z(4). Let w = l - -128. What is the smallest common multiple of 32 and w?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0464448397861 + 0.5.\nAnswer: 0.4535551602139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8223334597 to the nearest integer?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-40)*52\/286)\/((-12)\/255)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b**2 - 28*b + 13*b + 4*b**2 - 4*b**2 + b**2 + (-2*b - 2*b + 2*b)*(2*b + 2 - 2))*((0 + 0 + 2*b)*(-6 + 0 + 3) + 2 + 4*b - 2).\nAnswer: 2*b**3 + 34*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/36 + 1*9\/(-36)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4220.5373 days?\nAnswer: 602.9339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t + 3*t + (1 + 1 - 3)*(3 - 3 + t) - 1 - 2*t + 1)*(-6*t**3 + t**3 + 2*t**3).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufzsuefs. What is prob of sequence ss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + f + 10, 11 = 2*a + 5*f. Suppose -15 = -a*l - 0. Suppose -l*p + 104 = -p. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (852*w**2 - 192*w**2 - 120*w**2)*(0*w - w**2 + 0*w)*(3*w + 4*w - 4*w)*(-4 + 5 - 3)*(1 + 2 - 1).\nAnswer: 6480*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 10, -4 in descending order.\nAnswer: 10, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 3 - 3 + (-2*f + f - f)*(2 + 3 - 4) - 4*f + 0*f + 2*f - 56755 + 56755 - 344*f.\nAnswer: -350*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -126, -97, -52, 15, 110, 239, 408?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8 = h - 20, h - 38 = 5*p. Suppose l - 2*l - h = -4*k, 3*l - 5*k + 11 = 0. Let g be 2 + (-4)\/(-6)*l. Solve -3*m + x + 2 = -0*x, 0 = -4*x + g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t - 32*t**2 + 60*t**2 - 31*t**2 as z*t**2 + w*t + x and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61 + 22)\/1170)\/(10\/(-90))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 74*h**2 - 579184*h\/7.\nAnswer: 2*h*(h - 424)*(h + 683)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 - 6 = 0. Suppose 80 = u*q + q. Calculate the least common multiple of 6 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/76771?\nAnswer: 2\/76771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, -5\/4, -39, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*d + 7, 11*m = 16*m - d - 17. Solve 0 = -m*y + 2 - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d = 131 + 31. What is the greatest common divisor of 1098 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*b**3*k**3 + 6*b**3 + 6*b**2*k**5 - 2*b**2*k wrt k.\nAnswer: 66*b**3*k + 120*b**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebybebebbbbyeebbl. Give prob of picking 1 e and 3 b.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197425*s**5 + 101084*s**2 wrt s.\nAnswer: 11845500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58*763\/126440*30\/28?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 548 + -5481\/10. Which is the nearest to w? (a) 1\/3 (b) -1\/12 (c) -1\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/((-422)\/21522)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*84\/9 - (-27)\/3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -20 (c) -0.02233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1056 - b + 1058 - b. Give l(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166\/5 + 33. Suppose -5*m = -4*z + z + 8, -2*z - 16 = 2*m. Put 1\/2, m, i in ascending order.\nAnswer: m, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578740 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let q be r + -1 - 42\/(-6). Suppose 2*d = 3*a - q*a + 35, 0 = 2*a + 5*d + 7. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 19*m + 33*m - 225 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 612 and 2652?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 50978*d\/3 - 747032.\nAnswer: -(d + 44)*(d + 50934)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*h = -10, 0 = 5*r + 3*h + 2*h - 20. Let o = 8 - 5. Solve -4*f + b - o - 11 = 0, -3*f - 16 = r*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*v**4 - 1\/4*v**3 - 3\/4*v**2 + 1\/4*v + 1\/2 = 0. What is v?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3 + 2632*w**2 - 295616*w = 0?\nAnswer: 0, 124, 1192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -l - 4*l + d, -10 = -2*d. Let m(t) = -t**2 - 1. Let c(w) = -7 - 6 + 10. What is l*m(r) - 3*c(r)?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 + -92 + (9 - -5 - 38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q. Suppose q*s = -s - 34. Calculate the remainder when 6 is divided by s\/(-8) - 1\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2427 + -2053. Which is greater: w or -4478?\nAnswer: -4478","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4*r**3 - 2*j**4*r**2 + 242*j**4 - 3*j**2*r**2 - 2*j**2*r + 58*r**3 wrt j?\nAnswer: 24*j*r**3 - 48*j*r**2 + 5808*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v + 95*v = -129*v - 2920 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4302033243 + 23?\nAnswer: -4302033220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2309 divided by -5.\nAnswer: 2309\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.076, 4, 0.26, 12.9?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2, 2\/3, 83, -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + a - o = -20, 6*a + 76*o = 72*o + 40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.856 + 2.756. Is d less than -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -0.07, -0.178?\nAnswer: -0.178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:35 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -7 + 25. What is the lowest common multiple of 2 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/10)\/p)\/p*p**(-2\/3))\/(p*p**(5\/3))**27 assuming p is positive.\nAnswer: p**(-2249\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z = -15434917138 - 15038186489 + 5823863627. Round z to the nearest 1000000.\nAnswer: -560000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/9*1\/2. Let o = 0.416 - -0.084. What is the closest to 0 in 1, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7155 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/1 + (-114)\/36*-3. Suppose -3*o + 4*b = 0, 3*b + 1 - 2 = 2*o. Which is bigger: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -320\/2191?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 + 5 = 0, -5*c + 2*h = -21. Suppose -4*j = -c*o + 17, 0 = -2*o - 4*j - 22 - 0. Let q = -2 - o. Is -1 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-27))**(29\/3)\/(q*q**(-2\/11)*q*q)**(6\/13) assuming q is positive.\nAnswer: q**(-37509\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2407 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9592\/(-545))\/(24\/30).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*y - 21*y + 5*y + (-2*y + y - y)*(-4 + 1 + 2) + (0*y - 3*y + y)*(4 - 1 - 5).\nAnswer: -41*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6505, 26027, 58475, 103765, 161813, 232535?\nAnswer: 315847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 183\/3 + -3 + -3. Suppose 4*x = 3*v - 179, -3*v + 2*v = x - j. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t**2 + 20*t + 74. Is n(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*u + 38*u + 126 - 18*u - 280*u**3 - 126 in the form v + r*u**3 + n*u + c*u**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5 = t, -4*a = -4*t - 7*a + 5. Let b = -153 - -159. Solve b + t = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*((v\/v**5*v)\/v)\/v*v)\/v*v*v))\/v**(-21))\/(v**(-23)*v\/v**15) assuming v is positive.\nAnswer: v**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**4))\/((k\/k**(-5\/2))\/k)*(k**(-5\/2)\/k)\/k*k**(-4\/7) assuming k is positive.\nAnswer: k**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 24185?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) -483\/26 (c) -4\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 246\/30 - 4\/20. Let i = k - 5. Which is the biggest value? (a) -1\/7 (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 o when three letters picked without replacement from olwlclwwolllwco.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 380 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50458862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 minus 2304.3?\nAnswer: -2315.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 5, -178, -3, 4, -2 in descending order.\nAnswer: 144, 5, 4, -2, -3, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 y, and 1 t when three letters picked without replacement from uyyyurytytqzttyqt.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27328716, 27328724, 27328732, 27328740?\n\"Answer: 8*c + 27328708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211420 + -1143?\nAnswer: -213113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38\/7 - -6. Let u = 1671 - 1670.68. Which is the biggest value? (a) 1 (b) 5 (c) g (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 - -122. Suppose -9937 = -r*k - 2335. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 2:54 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**4 - k**2 - k + 4. Let p(b) = 114*b**4 - 2*b**3 + 6*b**2 + 4*b + 99. Let g(w) = p(w) + 6*r(w). What is the second derivative of g(n) wrt n?\nAnswer: 1296*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**2 + 13*r + 21. Let j be i(-10). What is j rounded to the nearest 10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020020120 (base 3) to base 13\nAnswer: b052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 11*s**6\/6 - 5*s**2 - 5. What is the second derivative of g(p) wrt p?\nAnswer: 220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -40)*3\/(-9). Find d, given that 19 - 50*d**3 + 5 + 44*d**2 - 24*d**4 - 8 + 72*d + k*d**5 = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*x**4 - 40*x**3 + 3*x + 29825 wrt x.\nAnswer: 216*x**3 - 120*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/21 + (-4)\/(-14). Let x be c\/(2\/13) - 3\/2. Suppose 3*h - 10 = 2, -u + x*h = -291980. What is u rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(4\/7))))\/(((t\/(t*t**(-3)))\/t)\/t))\/(((t\/(t\/t**3))\/t)\/t)**(-7) assuming t is positive.\nAnswer: t**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b64b + 2?\nAnswer: -b649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 - o + 1. Let b be u(1). Suppose -3*j = -4*j + b. Solve -k = j + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1810*w**3 - 6*w**2 + 2*w. What is the thousands digit of j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/101)\/z**(-2\/15) assuming z is positive.\nAnswer: z**(232\/1515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 293 + -293.3. Let n = 0.9 + -0.8. Which is the closest to 1? (a) n (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 101*d**2 - 46*d - 11. What is the thousands digit of g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - -1*2*sqrt(143))\/(6*sqrt(44) - sqrt(11)).\nAnswer: 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/5 + 479*f**4\/3 + 1934*f**3 + 8730*f**2 + 1135*f + 4. Let l(v) = 0. What is v?\nAnswer: -3, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -680*j**3 - 350*j**3 + 390 - 2*j + 131*j**2 - 131*j**2 - 292 wrt j.\nAnswer: -6180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*h**4)*(-1 - 5*h + 1) - 14*h**5 - 16*h**5 + 22*h**5 + 4*h**5 + 0*h**5 - h**5.\nAnswer: -15*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 72661452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1. Let f(m) = -6*m + 4. What is -f(b) + 5*o(b)?\nAnswer: 11*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/12 + s**3\/6 - 3*s**2\/2 - s. Suppose -5*i + 8 = 4*a, -3*a + 7 = 3*i + 1. Calculate f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11)\/u**8)\/((u*u**16*u*u)\/(u\/u**(2\/13))) assuming u is positive.\nAnswer: u**(-483\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(104)\/sqrt(2) + (sqrt(26)\/sqrt(2) - sqrt(13)) + -2)**2.\nAnswer: -32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 9. Let t be l(-5). Let g = -14 + 14. Which is the biggest value? (a) -1\/3 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 18.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22600067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(60\/(-21) + 3). Let s be 8*1*i\/(-14). Suppose -2*m + 6*m - 176 = 0. Calculate the greatest common factor of m and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/3 + 2*n**2 - 40*n. Let k(z) = -z + 2. Calculate 11*k(w) - 6*u(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nifttfiiitninit. Give prob of picking 1 n, 2 i, and 1 f.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35579481 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*r**2*s**2*w + 576*k**2*r**2*w - 2*k**2*s**2 + 63*k**2 + 5*k*r*s*w - 3*k*r*w wrt r.\nAnswer: -4*k**2*s**2*w + 1152*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031230123 (base 4) in base 12?\nAnswer: 23ba4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3759, 15038, 33829, 60126, 93923, 135214, 183993?\nAnswer: 240254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = 10. Let i = x + 2. What is the second derivative of 4*z - i + 4 + 2*z**4 + 2*z**4 wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17085 is divided by 398.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 199933*o = -199931*o + 36, -5*s - 4*o = 58 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42635 is divided by 6090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27086849*u + 27086849*u - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52 - -6?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27216 + -74?\nAnswer: -27312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -987882, -1975637, -2963388, -3951135?\nAnswer: -4938878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 + -47)\/(22\/10 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2089*f**4*r**2 + 592*f**3*r**3 - 2*f**2*r**3 - 5*f*r**3 + 28343*r**3 wrt f?\nAnswer: -50136*f*r**2 + 3552*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, 29210\/19, 182, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**2 - 5*n + 3. Let d be ((-3)\/((-135)\/(-10)))\/(14\/(-63)). What is v(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k - 7*k**2 + 5*k + (-k - 1 + 1)*(-2 + 2*k + 2) - 419*k**2 + 217*k**2 + 229*k**2 + 3*k.\nAnswer: 18*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2721238?\nAnswer: 2, 13, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.105 + -0.005. Sort 5, t, 4.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 + (27 - 17)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4792 - 2796. Let b = g + -645. What are the prime factors of b?\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.1, -2, -274?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 3*w + 3. Let o(u) = -4*u**2 - 7*u**2 + 12 + 11 - 6 + 17*u. Let t(g) = -6*o(g) + 34*z(g). Let m(n) = n**2. Give t(m(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/11 - 120*b\/11 - 3002\/11 = 0. Calculate b.\nAnswer: -19, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/5))\/y*(y\/y**(1\/10))\/y)\/(y**(-2\/5))**(-1\/23))**(-35\/6) assuming y is positive.\nAnswer: y**(511\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12931*i + 39 + 37 + 12932*i - 25861*i - 76.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l**3 + 4*l**3 - l**3)*(-4*l - 3*l + 5*l) + l**4 - l**4 + l**4)*(12037 - 12037 + 345*l).\nAnswer: -345*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -67*n**4\/24 - n**3\/3 + 11*n**2 - 15. Let p(h) = -h. Calculate p(w(r)).\nAnswer: 67*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10*u**2 - 54*u + 22. Calculate k(22).\nAnswer: 3674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**3\/3 - 155*m**2 + 410. Factor q(r).\nAnswer: -r*(r + 310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 16\/3*k**2 - 136*k**3 + 124\/3*k**4 + 544\/3*k + 0 + 4\/3*k**5 = 0.\nAnswer: -34, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubuububwcbubububub. Give prob of picking 3 b.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*u = -8, -4*z + 170*u - 169*u + 52 = 0. Let o(w) = -6*w - 8. What is the remainder when o(-11) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2387\/(-11))\/(-7)*1\/2*-2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4279182949 - 0.014?\nAnswer: -4279182949.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24*(-1 + (-10)\/(-12))\/(56\/(-279384))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 694394.91 nanoseconds?\nAnswer: 0.000000192887475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 11*j. Let a be z(11). Let m = 39901\/5390 + -3\/1078. Find the common denominator of 4\/(-30)*(a - 57) and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2216 divided by -2.\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9595, 19186, 28763, 38320, 47851?\n\"Answer: -o**3 - o**2 + 9601*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1435, 5433, 12081, 21367, 33279?\n\"Answer: -2*z**3 + 1337*z**2 + z + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244 + -268 - (2 - (4 + -7)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 895 + -891. Put p, -4, 2 in ascending order.\nAnswer: -4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24883 divided by -247?\nAnswer: 24883\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:36 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18031319 and 372681?\nAnswer: 4601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -13*n - 4 + 11. Which is bigger: 2685 or n?\nAnswer: 2685","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -270, -473, -758, -1125, -1574, -2105?\nAnswer: -2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15*v = -48. Find the second derivative of -b**5 + 205*b - 34*b**v - 233*b + 2*b**5 wrt b.\nAnswer: 20*b**3 - 408*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 992206341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 9 = 0, -30*q + 32*q - 4*m + 1 = -9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from onjonlbanlnnonb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113022 and 14007?\nAnswer: 3277638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*u - 4241 + 4241 - 65*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 1. Let r be -1*2\/4*-2. Suppose 3*t + d + 0*d = -7, -3*d = -2*t - r. Give u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g**(2\/3)*g**(-2\/5)\/g**0)**(-7) assuming g is positive.\nAnswer: g**(-308\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzkkzzkdkukzzzzukk. Give prob of picking 1 k, 1 u, and 1 z.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a + 1bff34?\nAnswer: 1bff0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 5. Let z be i(5). Let n = z + -7. Suppose 0 = -v + 5*r - 6, 2*v = -2*r + 1 + 11. Which is the third smallest value? (a) -2\/17 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -1\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.006 + 0.006. Let j = w + 16.03. What is the smallest value in j, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(3\/(-9) - (-40)\/12). Suppose -2*v = -3*v + 45. What is the greatest common divisor of v and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/40 - 5*k**3\/3 + 10*k**2. Find the first derivative of q(g) wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - q**3 - 2)*(68 - 11 + 12).\nAnswer: -69*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4603, 4608, 4617, 4630, 4647, 4668, 4693?\nAnswer: 4722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 5 = 8*y. Suppose -h = -31 + y. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2147 > -2145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwsq when four letters picked without replacement from sqwqdwdssdsy.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -2*w - 1\/10*w**6 + 0*w**3 + 0*w**5 + 0*w**2 + 0 + 1\/6*w**4. Find the third derivative of g(s) wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/693)\/(125\/(-225)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*a + 578*a + 4*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 14 = 2*g. Suppose -29 = -3*s + 7. What is the remainder when g is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.01127019 and 4.\nAnswer: -8.04508076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*v = 71*v + 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877690 is divided by 125381.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.151612 seconds in milliseconds?\nAnswer: 8151.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 19317744.\nAnswer: 19317744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s. Let h(w) = -4*w + 4*w + 1969*w**2 - 1837*w**2. Give h(l(x)).\nAnswer: 2112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, 112, -3 in descending order.\nAnswer: 112, 16, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3203 or 4207?\nAnswer: 4207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2020*b + 12147. Calculate the remainder when 851 is divided by h(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605621427 greater than or equal to 605621428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*y = -493*y - n + 20, -5 = y - 3*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7552*t + 1015. Let g be j(2). Is 16119 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -2*f**6\/3 - f**4\/6 + 37*f**3\/2 + 2*f + 21. Find the second derivative of u(o) wrt o.\nAnswer: -240*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 9. Suppose z - m + 212 = -u*z, 0 = z - 5*m + 53. Round z to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342971235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j + 291 = 253 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -64 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 18*b - 28. Let f be k(-16). Solve 4 = 2*z - 3*w, 2*z = f*w + 6 - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*g + 237*g - 984 = 0. Calculate the remainder when g is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-30)*(-8)\/(-3)*93\/62.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(1\/4)\/b)\/b))\/(((b**(2\/45)\/b)\/b)\/b))**(-30) assuming b is positive.\nAnswer: b**(-1027\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1\/62, -11, 2\/7, 2.\nAnswer: -11, 1\/62, 2\/9, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53313842 - 53313912.0000056. Let f = r + 70. Round f to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146460 (base 10) to base 9\nAnswer: 242813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -310, -379, -448, -517?\n\"Answer: -69*w - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20240, 4, 1 in ascending order.\nAnswer: 1, 4, 20240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 6*p**2 + 5*p + 1. Suppose 0 = -u + 4, -3*m - u = 3 + 8. Let t be f(m). Let b be t - 4 - -2 - 73. What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18980219 to the power of 1\/2, to the nearest integer?\nAnswer: 4357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 30 = -10. What is the remainder when 18 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2. Let q(u) be the first derivative of -11*u**2\/2 - 2*u - 104. Give q(r(l)).\nAnswer: -44*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 4*r**2 - 1. Let f(x) = x**3 + 3*x**2. Calculate 4*f(w) + 3*g(w).\nAnswer: -2*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duiuuigagaagggaggga. What is prob of picking 2 u and 2 i?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8800 and 3353350?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715*z - 73*z - z**2 - 23*z**2 + 1086*z.\nAnswer: -24*z**2 + 1728*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-5))\/(-232*73\/(-84680))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**3\/6 + 11*k**2\/2 + k. Let s be u(-8). Let r = s - 1. Solve -1 = -c + r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62 + -136616?\nAnswer: -140011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 585 - 581. Suppose j = -0*b + 3*b + 4, 2*b - j = -f. Solve -1 = -c - b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (105 + -31) - (10 - 6 - (6 - -13))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 + 65. Let q(r) = 14*r**2 - 6*r. Let c(h) = -22*h**2 + 9*h. Let l(k) = 2*c(k) + 3*q(k). Calculate v(l(s)).\nAnswer: 12*s**4 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3929, -15427, -34591, -61421?\nAnswer: -95917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60654903*j**2*l*x**2 - 8559*j**2 + 2*j*l + 2*x - 23 wrt x.\nAnswer: 121309806*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3908975.\nAnswer: 5, 7, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -8. Let g be (-10)\/j*3072\/120. Let w = 17 + g. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Let c = b - 2. Let m be 1*(-3)\/(-2)*10. Solve -c*u = z - 3, -u = -4*z - z + m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 544 divided by -4\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*n + 6*n**2 + 21*n)*((6*n + 17 - 17)*(0 - 1 + 3) - 4*n + 0*n + 2*n + (-2 - 3 + 7)*(-3 + 8*n + 3)).\nAnswer: 156*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 8:04 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/2 - 4172*c**3\/3 + 1087849*c**2 - 9881. Solve t(h) = 0 for h.\nAnswer: 0, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/6 + 2*w**2 + 2*w. Suppose 0 = -2*r + 6*r + k + 12, -9 = 3*r - 4*k. Let m(p) = 3*p - 11. What is r*m(h) - 8*q(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52400.43 nanoseconds to milliseconds.\nAnswer: 0.05240043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {b: 3, s: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17354*y + 34625*y - 2 - 17326*y.\nAnswer: -55*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6126, -48978, -165292, -391800, -765234, -1322326, -2099808?\n\"Answer: -6122*c**3 + c**2 - c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*k - 63 = 0, -4*r - 4*k + 60 = -0*r. Suppose 4*w = 1 + r. Suppose -3 = -w*x + 4*q + 3, q = x - 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*k - 14 = 0, -5*m - 10*k = -7*k - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 7*c**2 - 13*c - 2*c**3 + 0*c**3 + 11*c to the form x*c + i*c**3 + r + y*c**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8704 divided by -512\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 3*p**4 - 110*p**2 - 102*p**2 + 347*p**2 - 107*p**2 + 2*p**4 - 2*p**3 + 2 as u*p**2 + q*p + b*p**3 + n*p**4 + h and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 + 255*u + 7062 = 0. What is u?\nAnswer: -22, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043028 to the power of 1\/2, to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, -0.3, -2\/21, 1 in ascending order.\nAnswer: -0.3, -2\/21, 1, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*l - 70. Let h(g) = 7*g - 17. What is the units digit of h(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8) + (-228)\/(-176)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) - (-1452)\/20. Let v be 8\/2*74\/8. Suppose o = 5*i - 4*q, -q + v = 2*i - 0*i. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 10:58 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6452700211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*c + 29. Suppose -4*s = 2*r - 6, -2*s - 2 = -3*r + c. Solve -r*q = -2*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w. Solve w*u - 2*u - 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/175 - 12\/(-42). Let u(r) = -114*r - 1257. Let p be u(-11). Which is the fourth smallest value? (a) -0.2 (b) h (c) -2\/11 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, -2\/9, 2\/15, -26, 1\/4 in increasing order.\nAnswer: -26, -1\/3, -2\/9, 2\/15, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -436, -941, -1600, -2491, -3692, -5281?\n\"Answer: -13*g**3 + g**2 - 417*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2438 and 5088.\nAnswer: 117024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) -1 (c) 0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5464533 is divided by 1821509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 2393967571.\nAnswer: 2393967571.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2275698331 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180402*j**2 + 180362*j**2 - 360764*j**2 - 260*j**3.\nAnswer: -260*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (26\/4 + -3)*6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240812861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 485 + 7b2?\nAnswer: c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-3)*-1 - 9. Let p be 3 + k*(-1 + 2). Let y(h) = h**2 + 2*h - 3. What is y(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 43a6?\nAnswer: 43a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2 + (-5 + 2 + 5)*(0 + 1 + 2))*(-156*o**3 - 76*o**3 - 297 + 234*o**3).\nAnswer: 8*o**3 - 1188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**3\/6 + 45*m. Let u(w) = 2*w**2 - 24*w. Calculate p(u(z)).\nAnswer: -2*z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2\/4 - 95*h\/2 + 300.\nAnswer: 5*(h - 30)*(h - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**6 - 5*y**3 - y**2 - 179 wrt y?\nAnswer: -120*y**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57*-3.42.\nAnswer: 194.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 + 221708*h**3 + 18432248838*h**2 - 110599479216*h + 165902211936.\nAnswer: 2*(h - 3)**2*(h + 166284)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -173 or -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/2)*h)**(9\/8))**(-11\/3)\/((((h*h**(1\/3))\/h)\/((h**(-6\/11)\/h)\/h*h))\/(h*h\/h**(1\/6)*h*h**3\/h)) assuming h is positive.\nAnswer: h**(883\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 o when four letters picked without replacement from {f: 4, o: 5, d: 2, u: 4}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 16. Let d be i(-7). Suppose 0 = -u + o + 7, d*u + 2*o = 4*u + 7. Factor -7*g**4 + u*g + 5*g**4 - g + 4*g**3 - 7*g**2 + 6*g**4.\nAnswer: g*(g + 2)*(2*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cd (base 16) to base 14.\nAnswer: 24d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-14 - -21)) + 6 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -316206\nAnswer: 158103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 73*j + 2703. Give t(27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 + 240. Let k = -65 + g. Solve 3*r - 6*r = -k*s - 20, 5*s + 15 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1729*c**2*n**3 - 33456*c**2 + 2*c*n**4 - 2*c*n**3 + 2*n**2 wrt n?\nAnswer: 10374*c**2 + 48*c*n - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/2)\/(135\/99) and -75\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j - 114*j = 30*j - 6300. What is the highest common factor of 1089 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {h: 3, z: 5, k: 5, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - 14*o**2 - 8*o + 27. Let l be (-2)\/(-16) + 261\/24. Is q(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1.5. Let p = -652 - -668. Which is the closest to 1? (a) m (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(2057))*5 + (2*sqrt(2057) + 5 - sqrt(2057)))**2.\nAnswer: 74052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5625 = d + k - 5626, -21 = -3*d + 2*k + k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -1 + sqrt(1100) + -2 + 3)**2 + -5.\nAnswer: 4395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 375009 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1)\/((2 + -7)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10482, 10490, 10504, 10524?\n\"Answer: 3*p**2 - p + 10480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1333202300011?\nAnswer: -1333202300020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 2*k**2 - 2. Calculate n(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, b: 12}. What is prob of sequence rrrb?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 16*b**2 - 4105*b + 16449. What is p(4)?\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f - 53*f + 53465 = 628*f for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 1. Suppose -5*m - 25 = -3*b, 0*m + 5*m - b + 15 = 0. Calculate t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159863600 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54456463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 439715555 by 421.\nAnswer: 1044455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21216 = 428*n - 1676*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 15*g**4 + 2*g**3\/3 - g + 2. Is o(1) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 = -11. Suppose 0 = -8*d + h*d + 605. What is the highest common factor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*h, h - 18 = 403*n - 407*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8a31 (base 12) to base 4\nAnswer: 3233011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*y - 96 = 314. Solve 23*n - 24*n = 0, -2*k - y*n + 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 14 = a, 24 = 3*k + 5*a + 2. Suppose 0 = 5*j - 4 - 16. Let p = k - j. Solve p = -y + s - 0*s + 7, -5*s = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 68*l**2 - 441*l - 450. Determine w(74).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24768885 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 14*c + 17. Let y be q(12). Let p = 13 + y. Suppose -p*s = -2*s - 8. Solve -5*r + 5 = -5*m, s = 5*r + 2*m - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.864484 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*w = 13, 4*o - 28 = -4*w - 8. Suppose -o*k + 5 + 11 = 0, -t - 11 = -3*k. Do t and -2 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 988355234 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19776, -19893, -20000, -20091, -20160, -20201, -20208?\n\"Answer: u**3 - u**2 - 121*u - 19655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148359 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172248375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 9*m - 6*m = 9663, -3*m = y - 3231. What are the prime factors of y?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 11. Let h be n(6). Which is the closest to 0.1? (a) -2 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*(-11 + 9). Let f(n) = 854*n. List the prime factors of f(z).\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/81 and 74\/15?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaqq when four letters picked without replacement from {r: 5, a: 2, q: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t. Suppose -s + 2*s + 507 = 2*r, 0 = -3*r + s + 763. Let a(x) = 256*x - 11*x**2 - r*x. What is a(m(i))?\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*z = 4*z - 2, -4*k - 4*z + 16 = 0. Suppose 5*v - 4*o = 68, 6*o = 4*o + k. Calculate the smallest common multiple of 222\/10 - 1\/5 and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:04 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 4*i - 4. Let r be h(-5). Let m be -3 + r\/((-1)\/(-6)). Solve 3*b - 1 = 4*b - m*t, t = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -13. Let f = 0.15 + 26.85. Let x = f + s. What is the nearest to 0 in -0.3, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*(-15)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6*72\/96)\/(18\/(-16))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1390*d - 1284*d + 2349*d + 1 to the form k*d + c and give k.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -967*v**4\/6 - 1117*v**3\/3 - 2*v + 761. What is the second derivative of f(q) wrt q?\nAnswer: -3868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, -1\/2, 2\/7, 25, 2, -0.01?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 14. Let d(w) = -9*w - 131. What is -d(m) - 4*t(m)?\nAnswer: m + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 16*c + 76. Let w be t(-4). Solve w = 3*m - 2*i, 0 = 3*m + 6*i - 2*i + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + l - 9, -5*l = 5. Let o(r) be the first derivative of -r**3\/3 - 3*r**2 + 2*r - 5. Let w be o(q). Solve 25 = -2*y + w*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 + 2.2. Let s = -3 - -1. What is the closest to i in -2\/5, s, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-20 - -24) + 1 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4323, -4320, -4315, -4308, -4299, -4288, -4275?\nAnswer: -4260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:26 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-28353)*(0 - 426238\/132). Let k = 45\/1454 - s. Let g = k + -22\/13. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, 40, 63, 90, 121, 156?\n\"Answer: 2*k**2 + 13*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(24\/(-6)) + 14. Calculate the greatest common divisor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3846 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 0.515.\nAnswer: 1.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -18*p - 1\/90*p**6 + 0 + 0*p**3 - 1\/60*p**5 + 0*p**4 + 0*p**2. Factor t(f).\nAnswer: -f**3*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/13, 0.5, 2\/11, 1\/504 in decreasing order.\nAnswer: 0.5, 2\/11, 1\/504, -21\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = 3*a - 4, -6 = -2*a + c. Solve -19 = a*q + 2*y, -q + 6*q + 17 = 4*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5200) + sqrt(5200)*-2 + sqrt(5200) + sqrt(52) + sqrt(3328) + (1*sqrt(3328) - sqrt(3328)))\/(-1*sqrt(400) + (sqrt(16) - sqrt(16)*2)\/sqrt(4)))**2.\nAnswer: 1053\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2560591 - -0.1060597. Let x = -0.4 + 0.25. Let a = g - x. What is a rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1494, -2076, -3046, -4404?\n\"Answer: -194*n**2 - 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5159 + 5169. Which is smaller: y or 196\/19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 24 (b) -0.1 (c) -256 (d) -1\/5 (e) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/36)\/(7\/6)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:28 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*i + 13*i**3 - 11*i**3 + 118*i + 3*i - i + 0*i - i**3 + (137 - 137 + 18*i)*(4*i**2 - 6*i**2 + 3*i**2).\nAnswer: 19*i**3 + 86*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -3\/11 (c) -1\/21 (d) 1782 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-3))\/((-2)\/(-6)). Suppose -7*m = 5*x - 11*m - 33, -2*x - 3*m = -4. Suppose x*j = l*j - 20. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11484 and 25410528?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 18. Solve y = 5*l + 3*k + 2, 5*k + 13 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + c + 5 = 3*c, -2*c + 44 = 4*j. Calculate the remainder when 26 + -1 + -3 + 2 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - ((20 - (-15 + 13)) + -12).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3048 + 0.3048. What is the smallest value in 1, -2\/57, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -2\/7 (c) -0.08 (d) -0.149553\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7169 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 + 2*x - 3. Determine l(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -511\/1696 + 75\/106. What is the common denominator of s and -13\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/40 + q**5\/10 - 13*q**4\/8 + 5*q**3 - 3*q**2 + 1176. Solve a(o) = 0 for o.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - m + m)*(1 - 2 - 1) - 4*m + 2*m + 6*m to o + p*m and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-31)\/7 - (-80156)\/14. Suppose 5*u + 5*f = 2127 + 12173, 0 = 2*u - 3*f - l. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -14. Calculate the greatest common factor of 35 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10309610, 10309606, 10309600, 10309592?\nAnswer: 10309582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19.3+-343\nAnswer: -362.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3059 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243702 - 731115 + 243707 + 243704 - 26*o.\nAnswer: -26*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - 5*r + 3*r + (0 - 3 + 4)*(-r + 3*r - r) + 1 + r - 1 - 4 + 2*r + 4 + 1977*r + 1937*r - 9863 - 3911*r as h + s*r and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.145662 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/24 - 14\/16. Put -15, r, 3 in descending order.\nAnswer: 3, r, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12157880323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 24*u + 4. Let r(a) = 18*a**2 + 198*a - 33. Let f(o) = 33*g(o) + 4*r(o). Let b(n) = -57*n. Calculate f(b(c)).\nAnswer: 19494*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/((-8)\/(-6)))\/(1\/(-1)). Let g be 2*m - (-23)\/(184\/1008). Calculate the highest common factor of 99 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/(((n\/(n**(-8)\/n))\/n)\/n))**45 assuming n is positive.\nAnswer: n**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 629611 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5 = -23. Suppose 4*x + 5*i - 14 = 1, x - i - a = 0. What are the prime factors of (4\/x)\/(7\/105)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 4, s: 6, r: 1, h: 3}. What is prob of sequence hsd?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -7\/10, -0.4, 0?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44552 + -541. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 3*t**2 + 2*t + 1114. What is the hundreds digit of f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 5*x. Suppose 4*a - 11*a + 14 = 0. Let c be r(a). What is the greatest common factor of c and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3276 - -3276.1. Let a = 5 + -1. Suppose -6*g + 2*g = 4*c - a, -g + 5 = 3*c. What is the closest to 2\/5 in g, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000 + 1001001111000011100?\nAnswer: 1001001110111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-261)*(-657662)\/(-2958)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g + 29. Let x be d(-5). Let a = x + 22. Let c be (10\/(-135))\/(1\/(3\/a)). What is the fourth biggest value in 0, 1\/5, c, 2.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - -0.65. Which is the third smallest value? (a) -0.5 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.6 + -5. Let x = -47 - -44.7. Let v = 2.7 + x. Which is the biggest value? (a) p (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621 + 313 - 9123*g + 826*g + 308.\nAnswer: -8297*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -32596*d - 191996. Let r be n(-6). Determine x, given that 3060*x**3 - 1445\/2*x**4 - 40 + 720*x - r*x**2 = 0.\nAnswer: 2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 3*x + 2*x)*(2 + 4 - 4) - 30*x + 38*x - 10*x - 84*x as s + i*x and give i.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 48. Which is smaller: 14\/13 or f?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -47. Suppose 0 = -2*h + 4*n - 4, q*h - 35 = -0*h - 5*n. Solve s - h = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11234 times 0.03\nAnswer: 337.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 308470*a - 4010144. Calculate o(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * -0.636.\nAnswer: 0.11448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -774 - -780. Let v(s) = -56*s**3 - 20*s**2 + 20*s + 20. Let q(l) = 8*l**3 + 3*l**2 - 3*l - 3. Calculate u*v(x) + 40*q(x).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*c = -2, 0*k - 5*c - 1 = 3*k. Let r be -3*-2*k\/6. Solve r*a = -2*a - 2*i + 28, a + 4 = 2*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16209007 is divided by 16209007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 2*a + 0*a + 22*a**4 - 3*a**4 - a**4 + 2*a**4 + (2*a**3 - 2*a + 2*a)*(a + 2*a - 4*a) + 2*a**4 + a**4 - 4*a**4.\nAnswer: 17*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*g**3*i**3 - 2087*g**3*i - 229*g**2*i**3 + 8479 wrt g?\nAnswer: 630*i**3 - 12522*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3328*w - 3328*w - 35344*w**2.\nAnswer: -35344*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, and 1 y when three letters picked without replacement from {v: 3, y: 1, j: 1, a: 1, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 6*v - 2. Let n be s(-4). Let j be (-15)\/2*(-4)\/n. Suppose -4*d + j = d. Solve h = -5 + d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2264931 and 18309.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, x: 10}. What is prob of picking 1 x and 2 v?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*u + 2*c, -79*c + 22 = u - 84*c. Let i(f) = f**2 + 4*f + 4. Let w be i(-4). Let d(b) = -b - 6. Let g(m) = -2*m - 7. Determine u*g(j) + w*d(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*j + 10530 + 1374 = -5380 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -91\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 17 (b) -2\/17 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s = 62 + 181 + 29 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 5) + (12 - (-5 + 5)) + -42 + 18.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i. Let o = -203 - -205. Let v(b) = b**2 + 2*b + 3. Let g be v(-2). Let y(c) = 5*c - g*c + 4*c - o*c. What is y(r(l))?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33849*x - 53*x**2 - 16931*x - 16918*x - 2*x**3.\nAnswer: -2*x**3 - 53*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3191845 millimeters in kilometers?\nAnswer: 0.0000003191845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 5*p - 20. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*d + 18\/5 + 2\/5*d**2.\nAnswer: 2*(d - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/1*(-12 - -7). Suppose 5*f + 10 = 5*o, 8 + 6 = -f + 4*o. Solve -v = f*b + 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310825478?\nAnswer: 2, 155412739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 0*k + 1 - 5*k + 2*k**2. Let r be d(5). Sort -3, 4, r.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x + 3. Let r(t) = -t**2 - 2*t + 3. Let c be r(1). Suppose c*g - g - 10 = -2*q, -5*g + 10 = 5*q. Let s(o) = -3*o - 2. What is q*l(y) + 5*s(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueweh. What is prob of picking 1 w, 1 h, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5850*s - 35099. What is o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2552\/3 - -850. Which is the closest to 0.1? (a) 9\/5 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1284, 2554, 3810, 5046, 6256, 7434, 8574, 9670?\nAnswer: 10716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -20\/104987?\nAnswer: -20\/104987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -316, -876, -1370, -1450, -768, 1024?\n\"Answer: 58*t**3 - 315*t**2 - 21*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23244 divided by -111.\nAnswer: -7748\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 5*c - 76. Let q(r) = 2*r**2 + 2*r + 38. Determine -2*a(d) - 5*q(d).\nAnswer: -4*d**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2124*y**2 + 2456*y - 16648*y**2 + 17140819*y**3 - 17129521*y**3 + 882*y**4 - 112 = 0.\nAnswer: -14, 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -1\/35 (c) -3 (d) -1.2 (e) -4\/5 (f) 8 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 13*q**2 - 13*q - 15. Let k be i(11). What is the highest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.65 * 1620.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 56, 1, 53\/2, -2, 5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50651*p**3*t + p**3 - 2*p**2*t + 159*p**2 - 3*p + 2*t wrt p?\nAnswer: -303906*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12114?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/9 (b) -3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4419*u - 1 - 11*u**2 - 4471*u + 6*u**2 + 2.\nAnswer: -5*u**2 - 52*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 426, 0, 12, 2, -2 in increasing order.\nAnswer: -2, 0, 2, 12, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 11*d**6\/10 + 27*d**5\/20 - 1534*d**4\/3 + 6545*d. What is the third derivative of g(t) wrt t?\nAnswer: 792*t + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 25*f + 32. Calculate d(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {l: 2, o: 16}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 2435*i**2 - 84695*i + 276135.\nAnswer: -5*(i - 3)*(i + 41)*(i + 449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - o = -7, 7710*o = -5*i + 7713*o + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7559119 and 71.\nAnswer: 536697449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/8 + 3*p\/2 - 27\/8 = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 7. Let l be h(-5). Let g(r) = -16*r + 3. Let n(w) = -176*w + 32. Let k(b) = 32*g(b) - 3*n(b). What is the remainder when k(l) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -4*o**2 - 7\/6*o**3 - 1\/24*o**4 + 0*o + 0. Differentiate f(t) wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.0378, 24, 3\/7, -1, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 85 - (-68 + (-29 - -70) + -9)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 6531?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7468 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/15 + 65\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239721 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-2)\/((-3)\/(-3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(187418\/4697 + -40).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1065 + 1835. Suppose 2*i - g = -3*i. Suppose -5*h + 67 = -3*s, 3*h - 2*s + 3*s - 43 = 0. Calculate the highest common factor of h and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-8 + (7 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Let l be (-1 - (2 - 13))\/2 - 5. Put 3, l, p in increasing order.\nAnswer: p, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195 - 183. Suppose -4*f - n + 8 = -2*f, 2*n - q = -2*f. Which is the closest to f? (a) -1 (b) -0.4 (c) 0.09 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 309*h**4 + 320*h**4 - 628*h**4 - 955*h**2 + (0*h**2 - 2*h**2 + 4*h**2)*(-2*h - h**2 + 2*h).\nAnswer: -h**4 - 955*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -280, -282, -282, -280, -276, -270?\n\"Answer: i**2 - 5*i - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -20, -0.091, -0.2, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, -3, 2\/9, -10 in descending order.\nAnswer: 186, 2\/9, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let u be (-20)\/(-30)*(-6)\/4. Let s be m(u). Let q be 0 + 1 - -2 - s. Solve 3*j - q*j - 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.2. Let j = -0.04 - -3.54. Let r = j - -1.5. Sort o, r, 0.3.\nAnswer: o, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003193431 to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10425 (base 6) in base 11?\nAnswer: -1105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:32 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5017047 by -1.\nAnswer: 5017047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*g**3 - g**2 - 69*g**3 + 59*g**3 - 6*g**2.\nAnswer: -91*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359831233.\nAnswer: 4703, 76511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 - 2)*(f - 17 + 17) to the form j*f + v and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (5 - (-768)\/(-162))*-24. What is the third smallest value in -0.3, w, -29, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a3 (base 14) in base 6?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5*(-2*sqrt(425))**2 - sqrt(425))*1 + -2 + -6*(sqrt(425) + 2*sqrt(425))).\nAnswer: 190*sqrt(17) + 17004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -0.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 590593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 36*d + 78. Let o be s(-2). Solve -4*v = -7*v - o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(sqrt(17)*-2 - sqrt(17)))**2 + -2.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (12\/4)\/((-44)\/8 + -2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*j**2 + 358*j**2 - 112*j**2 + 443*j**2.\nAnswer: 558*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 6:28 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 26348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 4:47 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00933761 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -45. Let d(a) = a**3 + 4*a**2 + 4*a - 2. What is d(h)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8527593, -8527591, -8527589, -8527587, -8527585?\nAnswer: -8527583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:36 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 4*c**2 + 3*c. Let z be w(-3). Let n = 54419 - 54391. Solve -u + z*u + h = -3, 4*u + 4*h = n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 7*v + 2. Let x be l(7). Let n be ((-11)\/2)\/(x\/(-4)). Solve -5*o + 2*a + n = -2*o, -4*o + 8 = 4*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 1 - 1. Let w(v) be the third derivative of 0*v + 3*v**2 + m*v**4 + 0 + 7\/60*v**5 + 0*v**3. Let h(k) = k. Calculate h(w(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*k - 8*k - 31*k - 14*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 4150*m**2 + 4153*m + 8302.\nAnswer: -(m - 2)*(m + 1)*(m + 4151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83965590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4741457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - -1 - 5) + -99 + 83?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*t - 87*t = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -23*i**5\/60 + 67*i**4\/8 - 211*i**2. Find the second derivative of u(l) wrt l.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115223 (base 10) to base 2\nAnswer: 11100001000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001360064 rounded to six dps?\nAnswer: 0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377533806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 26. Let i(s) = 3*s + h - 1 - 2. Let t(d) = 3*d. Give i(t(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 873 and 4735152.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 576103 or 576102?\nAnswer: 576103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 1\/4 (c) -50 (d) -1\/6 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*-26*(-102)\/(-204)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 786 + -12. Suppose o = 5*a - 4386. Is -1 - (0 + 7\/((-7)\/a)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 3*o**3 + 2. Let b(i) = -i**2 + 10*i - 5. Let y(j) = 2*j**2 - 24*j + 12. Let z(d) = 12*b(d) + 5*y(d). What is f(z(s))?\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 21*j + 20. Let f(k) = -5*k - 5. Let z(r) = -4*f(r) - n(r). Let o(m) = 449*m. Determine o(z(b)).\nAnswer: -449*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)\/f*f**5)\/(f**1\/((f\/(f*f\/f**7))\/f)))\/((f\/(f\/(f*f**(-4)))*f**(4\/5)*f)\/(f**(-2\/17)*(f\/((f\/f**(-2\/5))\/f)*f)\/f)) assuming f is positive.\nAnswer: f**(2554\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(2\/9)))**(-42)\/(y**9\/y**(-1\/3))*(((y**(-4)*y)\/y)\/y**(-7))\/(y**0\/y)**(-13) assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.633 - 1935?\nAnswer: -2062.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 3 + 20*o**2 - 3.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 + 13*o**2 + 4*o**2 + 24*o**2.\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - n**2 + 2*n**3 + 3 + 71*n + 103*n - 13*n as w*n**3 + v*n + c + a*n**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, -1, -5, 1, 5, -2 in decreasing order.\nAnswer: 5, 2, 1, -1, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:12 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 20554*f**2 + 53186560*f - 1939865600.\nAnswer: 2*(f - 5120)**2*(f - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 - -159. Let f = 1.43 - 1.4. Let v = f + 0.01. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 24*m - 16. Let l be w(-19). Let y = 121 + l. Let k be (-5 - (-55)\/y)\/(2\/8). Solve 4*d + 31 = -3*b - 0*b, 18 = -k*b - 2*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + -2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + g = -9, -2*n - g + 9 = 2*n. Suppose 2*c - 379 = -5*k, -2*c - n*k + 491 = 114. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154521 = 3*i + 97179. Round i to the nearest one thousand.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*j - 79 - 61, 4*j = -l + 15. Suppose -4*t + 5*v - l = -8*t, -3*v - 7 = -4*t. What is the lowest common multiple of t and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**2*j - 1225*h**2 + 2416*j wrt h.\nAnswer: -4*h*j - 2450*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446743 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 1. Let m be l(-4). Let i = 11 - m. Let d = 7 + i. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1*(-1 - -2)). Let g(t) = 3*t - 26. Let p(q) = 2*q - 17. Let s(m) = -5*g(m) + 8*p(m). Let v be s(9). Solve b = v*k - k, -k = o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 2*k - 1. Let d be f(-2). Solve -t = -d*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/8)\/(2\/(28\/21))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 + -4 - (-5 + -4 + 7 + (-37 - -38)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 191219\nAnswer: -88\/191219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 (base 14) in base 3?\nAnswer: -211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/180 and 49\/5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 1.9. Let p = 457.12 + -419.1. Let n = p + -38. What is the second biggest value in -0.3, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008996131 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 49 (b) 4 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001361 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*c - 3*f - 6, 5*c = 4*f + 4. Solve 5*o - 4*g + 4 = c, -o - 2*g = -9 + 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 6*n**2 + 3*n. Let j be c(6). Factor -3*p**2 + 16 + 11 + j*p + 6*p**2.\nAnswer: 3*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3406.2596 * 0.3\nAnswer: -1021.87788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Suppose s = -2*v + 6, 0 = 9*v - 7*v - 6. Give l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/16)\/((-91)\/(-364)))\/((-4)\/(-136)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 - 5*j - 54. Calculate l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1399965527?\nAnswer: 1399965527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = -7*t. Let s(x) = x**4 - x**3 - 1. Let i(n) = -28*n**4 + 16*n**3 + 8*n + 28. Let l(p) = t*i(p) - 24*s(p). Determine o, given that l(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 5 + 5)*(0*s**3 + 3*s**3 - s**3 - 4*s**3 + 10 - 10 + (5*s**3 - 4*s**3 - 5*s**3)*(5 - 1 - 2)).\nAnswer: -40*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let g(n) = 2*n**2 - 56*n - 32*n + 83*n. Let q(s) = s. Suppose 2*j - 29 = 31. Let u(i) = j*q(i) + 6*g(i). Calculate l(u(f)).\nAnswer: -144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -65. Let b = v - -87. Suppose b*f - 2146 + 31 = 0. What are the prime factors of f?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-6)\/396)\/(6\/(-18))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, -6\/13, -5, -7, -2 in ascending order.\nAnswer: -7, -5, -2, -6\/13, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let y be -2 - (-7 + 1) - f. Differentiate -4 + 0*t**y - 3*t**4 + 6 with respect to t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1386775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 18. Suppose 7*l + 4 = h*l. Find the third derivative of -z - 8*z**5 - z**l + 8*z - 7*z wrt z.\nAnswer: -480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 3. Let k = 12 + -9. Which is the biggest value? (a) g (b) k (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45083909*g**3 + 35913088*g.\nAnswer: 270503454*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 132\/3*(-18)\/(-4). Suppose 2*t = -t + d. Suppose 0 = -q - 4, -5*b - 2*q = -q - 106. What is the highest common divisor of b and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 1115?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 13. Let g = -32 - -29. Let l(p) = 9*p**2 + 2*p + 2. Let f be l(g). Calculate the greatest common divisor of c and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361055286 divided by 120351762.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48576083649881\/8556 + -5677429144. Let y = t + -9\/1426. Let w = -374 + 8203\/22. Calculate the common denominator of y and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 28, 24, 4, -38, -108, -212?\n\"Answer: -z**3 + z**2 + 10*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(200)*-6 + -4)*6.\nAnswer: -24 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 120736 divided by 4312\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooz when three letters picked without replacement from {z: 11, o: 5}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028473572 rounded to 6 dps?\nAnswer: 0.002847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.32 - 45. Let i = 0.68 + j. Suppose -5*s - 1 - 9 = -2*c, 0 = 4*s + 4*c - 20. Is s less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2048 + 4673. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 2537 = 29*s - 4*s - 405 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 10*o**2 - 2*o + 10. Let t be h(10). Calculate the remainder when (-318)\/(-14) + t\/(-35) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.008 to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58014 bigger than 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 22*d - 314. Give k(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f - 45. Let z(j) be the third derivative of -j**3\/6 + 6*j**2. Let q(p) = -c(p) + 45*z(p). Let k(u) = -2*u**2. What is q(k(x))?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 11*g**2 + 16*g + 1. Let n be w(-9). Find the third derivative of -n*y**2 - y**4 - 44*y**4 - 5*y**2 wrt y.\nAnswer: -1080*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 7. Is (-1396)\/v + (-3)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*q**5 - 7026*q**4 + 788298*q**3 + 8074704*q**2 + 18064815*q - 8568150 = 0. What is q?\nAnswer: -5, 2\/5, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*t + 70, -2*t - 12 - 228 = -5*w. Calculate the remainder when w is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 - 4*u - 10. Let l be d(3). Suppose -l*q + q = o - 56, -2*q + 48 = o. Let n(z) = o*z + 40*z + 3 - 76*z. Determine n(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4707*-0.06\nAnswer: 282.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 637300920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-10))\/((-1)\/8). Let h be ((-141)\/132 + x\/22)*-4. Suppose -190 = -h*y - 6*w + w, y = -4*w + 29. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opppooo. Give prob of sequence op.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4433499 or 22167489\/5?\nAnswer: 22167489\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 4*j**2 - 2*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36824420 to the power of 1\/2, to the nearest integer?\nAnswer: 6068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1285*l**2*z**3 + 333*l**2*z - 3*l*z**3 + l - z wrt z.\nAnswer: 7710*l**2*z - 18*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18606 and 18606?\nAnswer: 18606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59212, -59202, -59178, -59134, -59064, -58962?\n\"Answer: s**3 + s**2 - 59214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340.3 + -5661866605.\nAnswer: -5661866264.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/3 - 106*u\/3 + 2233\/3 = 0. Calculate u.\nAnswer: 29, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1674.1 + 1674. Which is the closest to 10\/3? (a) -0.4 (b) 2 (c) 3\/4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-25))\/((-16488)\/(-2748))?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (4 - 6)) + -2. Let z(n) = -3*n - 8. What is the units digit of z(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*w + 93 + 150 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 16*g)*(-94*g - 16263 + 16263 + 0*g + 2*g - 3*g + (-1 + 2 + 1)*(-3*g + 6*g - g) + 0*g + 3*g - 5*g).\nAnswer: -1116*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*34\/147798*-18?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10334*h - 5258*h - 5072*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*a - 1127 = 17 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 2\/3, -663, -1080?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175466 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4 - 30*d**3 + 17*d**2 + 1254*d - 2320 = 0.\nAnswer: -29, -8, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 1. Let z(r) = -12*r + 5. Let u(v) = -5*t(v) + z(v). Let c(g) = 17*g. Calculate u(c(d)).\nAnswer: 221*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 134, -20, -5, -0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*x + 11. Let u(p) = 9*p**2 + 4*p - 9. Let r be u(x). Let j = r - 154. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/528250 and -23\/505750.\nAnswer: 1068649750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*a**3 - 5*a**2 + 34*a**3 - 116*a + 118*a + 15 to the form w + k*a**3 + f*a + m*a**2 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70253108*j**4 + 39332962.\nAnswer: -281012432*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 18 = -f, 31 = -5*c - 4*f - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17579\/6 - 2930. Put -1\/4, t, 10 in increasing order.\nAnswer: -1\/4, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 433023110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 - -26. Let q = v + -57. Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 64?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152594.0101943 + 152594. What is y rounded to four dps?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*p - 68, p - 1 - 1 = 0. Let m(o) = -6*o**3 - 210*o**2 - 5*o - 106. Calculate the remainder when m(-35) is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 6:25 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -33. Calculate the highest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 + 118 - (-1 + 1 + 1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, 31, 10, -47, -152?\n\"Answer: -2*d**3 + 17*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*p - 2884 = 0, -3*p = -w + 161 + 550. Is w a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85721698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -0.0142 (c) 8\/7 (d) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -90*b + 14. Let p(w) = -94*w + 17. Determine -4*p(t) + 5*v(t).\nAnswer: -74*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - 5*k**3 + 4*k**3 + (0*k - 2*k + 4*k)*(-17*k**2 - 33*k**2 - 4*k**2).\nAnswer: -105*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 91 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1195\/6 - 2591\/12. Let s(u) = 27*u + 4*u - 7 - 127 - 150. What is the common denominator of s(10) and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 65\/78 - (-1588)\/24. Let l = -63 + k. Calculate the remainder when 174 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -110. Let l = -17 - r. What is the smallest common multiple of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101065.962333 - -0.61?\nAnswer: 101066.572333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -y - 2*g + 28, 4*y + 2*g = 142. What is the remainder when 110 is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3072*v + 3033*v + 3045*v - 9073*v.\nAnswer: 77*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/20 - t**4\/12 - 5*t**3\/6 - 13*t**2\/2 - 25*t. What is the hundreds digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 39*t - 24. Suppose 3*x - 24 = -5*w, -9 + 3 = -2*w - 3*x. Let y(a) = 2*a - 3 + 6*a + w - 8. Determine 5*n(b) - 24*y(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 6 + (2 - 4) - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0*w**6 + 0*w**2 + 0 - 3*w + 0*w**5 + 0*w**3 + 1\/2*w**4 + 5\/42*w**7. What is the third derivative of f(k) wrt k?\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 60, 259, 594, 1065?\n\"Answer: 68*r**2 - 5*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 25 = -13*n, -254*n - 11 = -255*n + 4*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -466\/221 or -2\/125?\nAnswer: -466\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from vttvtvtttttvttttvv?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20 = 2*h + 41, 59 = r - h. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96094750, 96094740, 96094730, 96094720, 96094710?\nAnswer: 96094700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 6163.155?\nAnswer: -3081.5775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 0.183 in descending order.\nAnswer: 3, 2, 0.183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + -12 + -15)\/((-3)\/15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/4))**(-34)*(u**(-2\/7))**(1\/9))\/((u*(u\/u**(1\/3))\/u*u)\/u**(2\/15))**(1\/10) assuming u is positive.\nAnswer: u**(-40454\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 1.5. What is the third biggest value in 3, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmimiimrmmimmm. Give prob of sequence ri.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 55. Find the third derivative of -3*m + 3*m - g*m**2 + 23*m**2 - 12*m**4 wrt m.\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 9*p**3 - 33063*p**2 - 2348405*p + 7342458.\nAnswer: (p - 206)*(p - 3)*(p + 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 4*s + 3*s + 10*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**6\/10 + 9*h**5\/20 - h**4\/4 - 3*h**3\/2 + 3*h**2 + 12*h. Suppose y(o) = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 47389 = -93353. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54825 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 3:46 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5. What is the smallest value in -3\/4, h, 2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2 + 2*y. Let z be w(2). Suppose 2*d = 2*t - 22, 0*t + 5*t + 5*d - 45 = z. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -15, 2, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 36. Let k be h(8). What is the closest to -1\/4 in 0.3, 3\/7, k, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -3*u - 3\/2*u**2 + 84 + 1\/6*u**3. What is k(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 - 87 = -76*v - 371 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 = s - 2, -s = 0. Let i be (-5 + 3)*(q + -3). Let v(k) = -i*k**2 - 2*k**2 + k**2 - 2*k**2. Let n(c) = -2*c**2. What is n(v(l))?\nAnswer: -98*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 24338459625.\nAnswer: -24338459624.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -118?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27030 divided by 335.\nAnswer: -5406\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**2 + 0*a**2 + a**2 - a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2 + 6)*(-46 - 2*t + 131 - 37).\nAnswer: -18*t + 432","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10268?\nAnswer: 2, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2145, 1465, 779, 87, -611, -1315, -2025?\nAnswer: -2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/928 and -47\/28.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:21 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75303\/164 > 459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 10. Suppose -d = 3*d - 5*q - 17, d - 6 = 3*q. Suppose -880 = -r*l - d*l. What is l rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i - 8\/3 + i**2 - 1\/3*i**3.\nAnswer: -(i - 4)*(i - 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 498.9094 + -499. Let w = 0.09 + m. Round w to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3 + -1)) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26169524.\nAnswer: 2, 6542381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 19 - 8*f - 9*f + 35*f + 155 - 10*f. Is 9 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -860 + 889. What is the remainder when 111 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(160)\/sqrt(8))\/(-4*sqrt(324) + sqrt(324)).\nAnswer: 5*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, -2, 0, -29706 in descending order.\nAnswer: 128, 0, -2, -29706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.55. Let a = m + -0.549982. Round a to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-28) - (-39)\/(-156). Let f = y + 80\/231. Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8*u = -76. Suppose 5*q + u = -26. Calculate the remainder when 30 is divided by (-94)\/(-6) - 3\/q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*(sqrt(539) + (sqrt(539) - (sqrt(539) - sqrt(539)*-1))) + (sqrt(539) - (sqrt(539) - -2*-1*sqrt(539)))))**2.\nAnswer: 34496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.4, -10, 7, -0.5, 0.03, 1, 2.6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2904.4 - -2901.4. Which is the second smallest value? (a) -0.3 (b) -15 (c) 16\/5 (d) -2\/5 (e) v\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 40*y**3 - 2*y**2 + 9*y - 2. Let s be c(2). Let o = s + -62. What is the greatest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 + 208. What is s rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91011 is divided by 1714.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*l*n*y**2 - 3979*l*n*y + 161*n*y**2 - n + 252*y**2 - 1 wrt l.\nAnswer: -30*n*y**2 - 3979*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 975\/2, -3, 288, 0 in ascending order.\nAnswer: -3, 0, 288, 975\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) -8 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 9*s**3 + 3*s**3 + s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 253556505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340408060 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 95437387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 7:07 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 8*i**2 + 2*i - 9. Let a be w(8). Find the second derivative of -a*m - 4*m**4 + 4*m + 6*m wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*j**3 + 9*j**3 + 2*j**2 + 19*j**4 + 24*j**4 - 58*j**4 + 18*j**4 as h + s*j**2 + k*j**4 + i*j**3 + y*j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -709 divided by -47591?\nAnswer: 709\/47591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + r = -r + 65. Solve -r*s = 3*i + 45, -5*s + 0*s = -i + 25 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -10*u + 77. What is the tens digit of a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 38 = -3*r. Let p(o) = -12*o - 22. Let h be p(-2). Suppose -4*b**5 - 19*b + 4*b**3 - 3*b**2 + 4*b**4 - b**h + r*b = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-55))\/(2*(-9)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 467\/9. Let f be ((-20)\/15)\/(7\/(-2772)). Let o = f + -529. What is the fourth biggest value in -4, d, 1\/2, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*p + 198 + 130 = 0. Solve 5*g = -2*k - 12, p*g - g - 4*k = -20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*s = 0, -5 = -q + 4*s + 18. Let f = -3.7 - -4. Let n = f + -0.2. Which is the closest to n? (a) 0.2 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1613 - 1611. Suppose z - n + 3 = 5, 0 = j*z - n - 5. Suppose p + 4*p - 104 = -c, -3*p - c + 62 = 0. Calculate the remainder when p is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2. Let i(q) be the second derivative of -8*q**4\/3 + 178*q. What is w(i(k))?\nAnswer: 6144*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.6063923 rounded to one dp?\nAnswer: 42.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**2 + 9*h - 36. Let x(z) = 7*z**2 - 6*z + 24. Let n(v) = -5*i(v) - 7*x(v). Let w be n(6). Calculate the highest common factor of 12 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5279.582806 rounded to the nearest integer?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cctt when four letters picked without replacement from ccctcct.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -193666*f. Let s(q) = -20*q**2. Calculate w(s(l)).\nAnswer: 3873320*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1350 and 216.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*x - 4*x**3 - 27*x - 23*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 22. Suppose -4*m + 2*n + q = 0, -6*m + m - 5 = -4*n. Let g be 23\/7 + (0 - m). Which is the closest to 2? (a) -5 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37573 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -8, 0*k + x = -k + 12. Suppose -z - 80 = -3*z. Suppose 0 = -2*u - k + z. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4015013?\nAnswer: 4015013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * 1517.\nAnswer: 212.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22353 by 3.\nAnswer: 7451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(54\/30))\/((-2845)\/90471)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 348102*s + 1044288.\nAnswer: 2*(s - 174048)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1048, 2098, 3170, 4276, 5428, 6638?\nAnswer: 7918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15770, 31535, 47298, 63059?\nAnswer: 78818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**(20\/9)*y**(-2)*y*y*y**(-1\/3) assuming y is positive.\nAnswer: y**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -107, -283, -461, -641?\n\"Answer: -p**2 - 173*p + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from igibhiigighhghg.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 18 (c) 4.6 (d) 91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + p - 315*p**3 + 317*p**3 + 1244*p**2 + 2 - 4 + 2 as c*p**2 + y + q*p + n*p**4 + g*p**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25736047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 53. Calculate the greatest common divisor of 60 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -0*v. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27951347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000164922717 rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46175 + -412?\nAnswer: -46587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*g = 440 + 237, 4*p = -2*g + 540. What is the remainder when p is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 13*g - 219 = 0. Let u = -70 - g. Solve 0 = -0*h + u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (1 - 2) + -3 + 1. Suppose 0 = u - 2*u, 4*w - 5*u + 12 = n. Let j be (-6)\/(-8)*((-11)\/w + 1). Which is the closest to 1? (a) -5 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 385723.3 weeks?\nAnswer: 64801514.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 277, 560, 841, 1120, 1397?\n\"Answer: -a**2 + 286*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 11*o + 611869 - 611838 = 0, -o = -y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 352878*s**2 - 15544696464*s + 1823563236456.\nAnswer: -2*(s - 117)*(s + 88278)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (68\/10)\/((-1)\/(-10)). Let l = y - 41. What is the remainder when 51 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**3 - 4*y**2 + 5*y - 2. Let f be r(1). Suppose -f*l = 16*l - 42. Suppose 0*t = 3*t - 60. Solve 3*j = -2*i - 5, -l*j + j = -3*i + t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003775 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 - 7138*h**2 + 159204166*h\/5 + 159239858\/5.\nAnswer: 2*(h - 8923)**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -524.2484 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 5*v - 60. Suppose -119*o - 993 = 502 - 186. Calculate y(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111624 divided by -165.\nAnswer: -37208\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -442?\nAnswer: -43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-15))\/((-2)\/(-6)). Let h = 0.4 - 0.3. What is the nearest to 0 in -2, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/16 + 19\/48. Let k = -8.3 - -8. What is the nearest to -0.1 in u, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 562 - 3?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13423, 27098, 40763, 54412, 68039, 81638, 95203?\n\"Answer: -b**3 + b**2 + 13679*b - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185728*y + 245*y**2 - 185728*y.\nAnswer: 245*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*t = -4, -5*p = -p - 4*t - 4. Suppose p = 5*r - 263 - 277. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*y - 2*y - 0*y + 7*a + 22, 20*a + 5*a = 2*y - 202 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8080 divided by 5\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, x: 3}. Give prob of picking 2 b and 2 x.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - d**2 + d + 60. Suppose 5*r = 6*r - 12. Let i = -12 + r. Is v(i) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -479 - 81*k**5 + 951 - 472 + 46*k**2 wrt k.\nAnswer: -4860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78b291 (base 13) to base 10.\nAnswer: -2852162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -92 + -11 + (-4 - 1) + -3 + 7 + -2\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300322200030 - -30?\nAnswer: 1300322200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 16. Let g be (642\/(-24))\/(u\/(-8)). Let b = g + 109. Solve b*d + d = -15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 7*w**2 + 15*w + 1. Let t(j) = -j**3 - 5*j**2 - 10*j - 1. What is 5*h(m) + 7*t(m)?\nAnswer: -2*m**3 + 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -27. Solve 3 = s*k - k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:27 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568190 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*g + 8*g - 187, 211 = 4*g - 5*m. Let v = -1040 + 1053. Calculate the remainder when g is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -70.\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - -60. Let d = x - -58. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 145 = -3*n, -4*z - 47 = -5*n + 133. Suppose 33*u = n*u - 1757. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 2\/15, 2\/11, 3\/16, -180, 3\/4?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.5, 6, -1363 in ascending order.\nAnswer: -1363, -0.5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + q + 19 = 0, -q + 23 = k - 3*q. Calculate the highest common factor of k and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**2 + 3*c - 3. Let h(t) = 9*t + 22*t**2 - 7 - 6*t + 4*t. Give -3*h(o) + 7*x(o).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0 + z + 0*z + 1. Let i be o(3). Factor 0*m**4 + i*m**4 - 5*m**2 + 2*m**5 + m + m**2 - 3*m.\nAnswer: 2*m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v - 21*v - 21*v - 62*v + 214*v - 23*v - 28*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527976624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 7*s + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 854040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/266816 and 95\/3929472?\nAnswer: 43224192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 16*v - 2. Let j be h(5). What is the highest common divisor of j and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(-33) + 34\/(-6). Let t be 12*(i\/(-4))\/3. Is 10\/(-15) - (-88)\/t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.149 - -0.14852. What is s rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000037452897 to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -70. What is the remainder when n is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 76 - (-2 - 2\/(-2)). Suppose o = 4*a - q + 6*q, 3*a + 4*q - 59 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -1\/3*h - 68 - 1\/36*h**3 + 1\/6*h**2. Factor r(g).\nAnswer: -(g - 2)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -3838.\nAnswer: -43\/3838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1))**(8\/21)*m*m\/(m\/(((m\/(m**(-7)*m)*m)\/m)\/m))*m*((m\/(m*m*m\/(m\/m**0*m)))\/m)\/m assuming m is positive.\nAnswer: m**(142\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/27))\/o**(-17))\/(((o\/o**12)\/o)\/(o\/o**(1\/9))))**27 assuming o is positive.\nAnswer: o**836","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353503027 take away -0.03?\nAnswer: -1353503026.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2056, 2090, 2144, 2224, 2336, 2486, 2680?\n\"Answer: y**3 + 4*y**2 + 15*y + 2036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(5)*2 - 5*(3 + sqrt(5)).\nAnswer: -20 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 265 = -q - 3*v, 0 = -4*q - 4*v + 1064. What is the remainder when q is divided by 40?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:46 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 2 - 2)*(4 - 4 - i)*(-589 + 243 - 853).\nAnswer: 4796*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 6, p: 4}. What is prob of picking 1 p and 1 b?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9184161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 363331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 4043044?\nAnswer: -4043040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1109289 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -125\/2. Let y = 83315\/14 - 5947. Let t = y - w. Which is the third smallest value? (a) t (b) -4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**2 - 3. Let k(o) = -2738*o. Give c(k(f)).\nAnswer: -52476508*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -19*2\/(0 + -2). Suppose 2*f = -h + 3*f + p, 0 = f - 3. Suppose -5*l = -2*d - 10*l + 9, -27 = -d + 5*l. What is the smallest common multiple of d and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let b(r) = -331*r. Calculate x(b(m)).\nAnswer: 662*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let d be (-8)\/(-15) + 1\/(-5). Let w(t) be the second derivative of t + 0 + 0*t**2 + d*t**3. Determine w(m(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 323710, 647416, 971122, 1294828?\n\"Answer: 323706*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.253422 days to microseconds.\nAnswer: 194695660800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 + 3. Let v be ((-5385)\/42 - 3)*-2. Let y = v - 263. What is the nearest to 1 in 3, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -2*m + 2*o, -4*m + o = -0*o - 323. Suppose -r - m = -6*r. Suppose 2*p - r = p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**3 - 21*d**3 + 48*d**3 - 19*d**3 + 24*d**3 - 16*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 6*(2*sqrt(5) + sqrt(5)) - (sqrt(5) - sqrt(60)\/(1*sqrt(12))) - 1*(sqrt(5) + sqrt(605) + -3))**2.\nAnswer: 42*sqrt(5) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 9 = 3*v, x + 3*x + 9 = 3*v. Let w = 51 - 49. Suppose -w*a + 101 = 97. Solve -2*t - 1 - v = a*q, -t - 12 = 3*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 889 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.5. Let r = 1.3 + s. Let g(p) = p**2 - 4. Let d be g(-3). What is the second biggest value in r, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s, -3*q + 3*s = 2*q - 50. Suppose q - 5 = 5*f. Let j(n) = 396*n + 1. Is j(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-26)*(532\/(-42))\/19?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 - 2599*k**2 - 16530*k + 360758. Calculate o(-1293).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -53508\nAnswer: -5\/53508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2408)\/(-504) + (-2)\/(-9). Suppose -2*l - 2*i = 6 + 2, 5*l - 2*i = -6. Sort u, l, 1 in decreasing order.\nAnswer: u, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t + 1)*(-49 - 47 + 100)*(-1 - 4 + 2).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 497 - 497. Factor -n**2 + s + 4\/5*n**3 + 1\/5*n.\nAnswer: n*(n - 1)*(4*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 77 + 190. Calculate the remainder when g is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*w**5 + 490*w**4 + 3*w**2 + 147271*w?\nAnswer: -500*w**3 + 5880*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 336*c + 340*c - 12 = 0, 0 = -3*h + 2*c + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8187, 16392, 24597, 32802, 41007?\n\"Answer: 8205*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)*(g*g*g**(4\/7))\/g assuming g is positive.\nAnswer: g**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 4. Let d be v(-5). Let r = 52 - 33. Calculate the remainder when r is divided by 60\/5 - (d - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/10)\/(-24*(-7)\/(-40880)). Solve -l - 298 = -s for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 489215, 489206, 489191, 489170, 489143, 489110?\n\"Answer: -3*x**2 + 489218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*4\/16*-1. Let r(y) = 4*y + 0*y**2 + 5*y**2 + y**2 - 2*y**2 - 4. What is the remainder when r(m) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.278 and 0.1.\nAnswer: -0.0278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*d - u, 2*u = 48*d - 49*d + 14. What is the greatest common factor of d and 972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 3) in base 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -48. Let w = -31 + p. Which is the closest to -0.1? (a) w (b) 0.5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1306536 is divided by 48375?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0.5, 0, 651, 12 in descending order.\nAnswer: 651, 12, 5, 3, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3568 and 67346?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15017722, -15017747, -15017772, -15017797, -15017822?\n\"Answer: -25*p - 15017697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 236, 325, 390, 425, 424, 381?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 124 - 5*m - 125)*(-2*m + 4 - 4) + (-12*m + 5*m - 9*m)*(2*m - 5*m + m) to the form b*m + v + q*m**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 - 228*s**4 + 222*s**3 + 228*s**2 - 225*s = 0. What is s?\nAnswer: -1, 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u + 7*u + 5*u + 16*u + 8*u + 11*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1408, -2760, -4112?\nAnswer: -5464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2387 + 803 + 797 + 789 + 1340*o to p + y*o and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 282 - 430 = 0. Is -42 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.1 and -865.\nAnswer: -11331.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let y(s) = -s + 7*s - s + 5*s - 3*s. Calculate y(p(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70564, -68301, -62174, -50251, -30600, -1289, 39614, 94041?\n\"Answer: 322*d**3 + 9*d - 70895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-48)\/(-6) - 54\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 3*w + w - 6*w + 13, -2*u - 61 - 197 = -33*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13721 + -126905531\/9249. Is v equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 7.4. Let v = -0.7 + o. Let s = -0.3 - v. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1468 - 18*a**2 + 14*a**2 - 1468. Let d(i) = i. Let y(g) = -14*g. Let w(f) = f. Let m(x) = -8*w(x) - y(x). Let k(v) = -3*d(v) + m(v). Give k(c(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4358?\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/147*(-4)\/(4\/3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -37.2, 2.35, -2\/7, 1\/4 in descending order.\nAnswer: 18, 2.35, 1\/4, -2\/7, -37.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/64*-20*4. Solve i*u = 65 - 45 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezwnenmemnjeeejme. What is prob of sequence jmm?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-61)\/(-5) + 9\/(-45). Let q = 41 + g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -1 - -77*(-44)\/242) + 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*p - 8*p - 7*p)*(82422 - 82422 + 254*p).\nAnswer: -11176*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1666620140 - -4?\nAnswer: -1666620133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266 a factor of 139699004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/26*(-62)\/217.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9476.616 litres?\nAnswer: 9476616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + (sqrt(42) - sqrt(378)*6 - (sqrt(84)*1)\/sqrt(2))\/(sqrt(42)\/(sqrt(7) - sqrt(252)*-1))*1)**2.\nAnswer: -1008*sqrt(7) + 111148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 - 5*f**3 + 11*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63350.85 months in decades?\nAnswer: 527.92375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*b = 76, 0 = 5*d - 3*b + 8*b - 90. Suppose -5*z + z = -192. Calculate the remainder when d is divided by ((-2)\/(-4))\/(2\/z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 104*b**2 - 51*b - 58. What is the units digit of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -25 + 30 + -1 + 8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 293 = -1115. Suppose -5*y - 12*j + 3522 = -14*j, 0 = 2*y + 5*j - 1403. Let l = y + h. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - (-5 + 5) - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2217 (base 10) in base 9?\nAnswer: -3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 17\/7) + (-1800)\/(-84). Calculate the greatest common divisor of b and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/30 - b**4\/12 - 5*b**3\/6 + b**2. Let m(k) be the first derivative of j(k). Let l be m(3). Which is greater: 11 or l?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 7*a**2 + 12*a.\nAnswer: a*(a + 3)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 15 - (-16 - -18 - 4 - 21)) + -92\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 - -196. What is the remainder when 1079 is divided by w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let j = 3.27 - 1.27. Which is the biggest value? (a) -3 (b) i (c) j (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:40 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-48)*25 + (-42)\/36. Solve 0 = -5*u - j*o + 3, -o = u + o - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2 - (-16 - -18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -r - 2, 4*b + 6 = -r - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1201*g**2*x**4 + 2*g**2*x + 65436*g*x**2 - x**5 - 7*x**4 wrt x?\nAnswer: 28824*g**2*x - 60*x**2 - 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*w + 3*a - 1 = 63*w, -5*w - 19 = 3*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**3 + g**3 - 4*g**4)*((-9 - 2 + 7)*(2 - 1 - 2) + (-3 + 3 + 1)*(2 - 1 - 2) + 1 + 2 - 2) to the form r*g**4 + y*g**2 + j*g**3 + i + h*g and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*m - 4*m - 11*m - 1260. Which is the second smallest value? (a) m (b) -1.5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - -58. Suppose 5*w = -4*m + 260, 2*m - j = -w - 3*m. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 1. Suppose 8*k + 256 = 2*q + 4*k, -2*k - 10 = 0. Let h = q + -114. What is the smallest value in g, h, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784784 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105496363?\nAnswer: 7, 79, 27253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 7:21 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and -27901 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -58.535 + -497\nAnswer: -555.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p**3 + 9 - 10*p - 5*p**3 - 3*p**3 + 19*p**3 + 10*p**2. Determine w(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(12\/15 - 2). Let k be (3\/9)\/(v\/9). Determine z so that k + 7\/4*z**2 - 9\/4*z = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3158325*u**2 - 4520757 with respect to u.\nAnswer: 6316650*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 + 4*y**2 + 0*y**2 - 9*y**2 + 17*y**2 + 10*y**2 + (y - y - y)*(-y + 4*y - 2*y) - 10 + 10 - 12*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 2, d: 4}. What is prob of picking 1 k, 1 d, and 1 x?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*q + 26319 = -228*q for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4 - 12213*k**3 + 39584785*k**2 - 13796587287*k + 13757014714 = 0?\nAnswer: 1, 394, 5909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in 0.05, 0, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16118\/36121?\nAnswer: -16118\/36121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 0 + 0)*(-7 - 2*o + 14 - 5).\nAnswer: -4*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-20))\/(-2)*(-1675)\/(-804)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 23*u**6\/15 - 42*u**5\/25 - 93*u**4\/5 + 104*u**3\/3 + 24*u**2\/5 + 9590. Find p, given that c(p) = 0.\nAnswer: -3, -2\/23, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(2\/(-6)*6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 19 = 2*m, 0 = -5*m + 3*b - 7*b - 49. Let z = m - -13. Suppose 0 = 4*a - z*t - 48, a = 2*t + 1 + 7. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 15729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139 - 131 + 410 - 140 - 2463*h to u + s*h and give s.\nAnswer: -2463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -5, 159, 3\/8, 2\/11, -4 in descending order.\nAnswer: 159, 3\/8, 2\/11, 0.06, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688 divided by 844?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 55.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 931 + 173?\nAnswer: aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 752 + -56399\/75. Let a(z) be the second derivative of 0 - t*z**6 + 0*z**3 - 1\/30*z**4 + 2*z + 1\/25*z**5 + 0*z**2. Determine s so that a(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -979876.104 to the nearest ten thousand.\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 36 = -4*u, -3*u - t = u - 56. Suppose 30 = 2*q + 24. Find the second derivative of 0*k + k**3 + 0*k + u*k - 14*k**q wrt k.\nAnswer: -78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/135 and -61\/9.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-17)\/a*a)))\/((a*a\/a**(-9))\/a) assuming a is positive.\nAnswer: a**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -407763 or -407790?\nAnswer: -407763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 11*q**2 + 7*q + 1. Calculate the remainder when d(11) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13108, 26187, 39256, 52315, 65364, 78403?\n\"Answer: -5*h**2 + 13094*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*u = -6, 0 = 4*u - 5 - 7. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 2864 + 2864 + 1372*h**3.\nAnswer: 1372*h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 3*n + 3*n)*(-2 - 2*n + 2) + n**2 - 3*n**2 + 0*n**2 - 5*n**2 - 11*n**2 + 2*n**2 to t*n + i*n**2 + j and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 12*n**2 - 51*n - 52. What is h(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 736 - 379. Suppose 2*x - b = -321. What is the remainder when x is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5482 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20235594473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3374 to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29 - (0 + 2 + 0). Suppose 0 = -5*d + r + 8. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 8. Suppose 0 = 3*r + b - 0 - y, -4*b = -5*r - 3. Which is greater: -1\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -18*f + 0*f**2 - 126 - 135 - 3*f**2 + 264. Let w be t(-6). Put 1, 6, w in descending order.\nAnswer: 6, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2913, -5825, -8737, -11649, -14561?\n\"Answer: -2912*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182*f**4 + 310*f.\nAnswer: -2184*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 2, -7, 6, -526, -5, 1 in descending order.\nAnswer: 37, 6, 2, 1, -5, -7, -526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 + 102.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhyhlwywu. Give prob of picking 1 u and 1 w.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 20 = t, -36 = 2*y - 2*t. Let r = -11 - y. Let x be (4\/12)\/(r\/(-18)). Put x, 5, 0 in increasing order.\nAnswer: x, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -33*y - 7372. Give g(-210).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*4592\/(-72) - (-4)\/18. Let a(c) = -3*c + 2. Let l be a(-2). What is the highest common divisor of b and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-15)*((-243)\/18 - -13)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*y = -91*y + 28*s - 16*s - 13*s + 1027, -s = -3*y - 19 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 52*c**2 - 30*c + 130. What is the hundreds digit of z(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1687?\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1963 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 9*u - 16. Determine y(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-6) + 2)*-8. Let a = -0.063 + 0.563. What is the smallest value in z, a, 0, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 12:12 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 1. Let m be d(5). What is the smallest common multiple of (2 + -16)*(-3)\/m and 6 - -2 - 1*-1?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + 2*(2 + -3*-1*sqrt(252)*-1*-2)))**2.\nAnswer: 7776*sqrt(7) + 326916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106954 and 318?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-199\nAnswer: 17.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 4*m - 1. Let s be w(2). Let u = 7 - s. Suppose 0 = 4*a + 2*l - 76, a = -2*l - 6 + 22. Solve -8 - 7 = -u*o + q, o + 3*q = a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from cvyqrii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, t: 1, w: 1, e: 2, u: 1}. What is prob of sequence utwo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-28) - 77\/(-4). Let j = c + -12. Suppose j + 13 = 5*b. Solve 4*n + b*a = 8 - 20, a = 5*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/4)*y**(-23) assuming y is positive.\nAnswer: y**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-68 - 7) - (-397 + 401)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d - 2\/5*d**2 + 2\/5*d**3 + 0.\nAnswer: 2*d**2*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390816 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 5:51 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, g: 1, n: 6}. Give prob of sequence gb.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 = 29*q - 28*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -4*c**6\/15 + 6*c**5\/25 + c**4\/2 - 2*c**3\/5 - c**2\/5 + 22. What is k in j(k) = 0?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 44. Suppose -3*f + 7*f - 348 = 4*l, i = l. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1941 - 981. Is 64 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (7 + -4 - -3). Let g be (k\/2 - 4 - -2) + 8. Solve -10 = -g*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2585 + -0.2185. Sort k, -1\/17, 0.4 in decreasing order.\nAnswer: 0.4, k, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 0.18, 4 in ascending order.\nAnswer: -4, 0.18, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 828 divided by -9\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722*s**3 + 30803256*s**2 + 6484920*s + 341312 = 0. Calculate s.\nAnswer: -2\/19, 42664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42481 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 2250?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**11\/m)*m*m))\/(m*m*m*m\/((m\/(m\/(m*m\/(m\/m**(-16)))))\/m)*m*m*m)*m*m*m\/((m\/(m**16*m))\/m)*m*m*m**(-1))**30 assuming m is positive.\nAnswer: m**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k - 42 + 42 - 21*k**3.\nAnswer: -21*k**3 + 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h + 15. Determine g(-8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11517558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5118 + 3154?\nAnswer: -1a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3.5. Let w = 457 - 33817\/74. Let i = 55\/37 + w. Which is the biggest value? (a) -2\/3 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 215*d = 210*d + 64, -53*x + 50*x = -3*d - 96 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.394504*-0.5\nAnswer: 0.197252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/(-132) + (-950)\/(-264) and (-3)\/(-6) + (-18)\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.11 - 8.1. Let i = o - 0.01. Put -0.1, -2\/9, i in ascending order.\nAnswer: i, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 7*g. Let k(u) = 3*u. Let q(l) = l**3 + 9*l**2 - 8*l + 17. Let p be q(-10). Let w(b) = p*t(b) + 7*k(b). Let i(z) = -12*z**2. Give i(w(s)).\nAnswer: -108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, c: 5, a: 2, u: 2}. What is prob of sequence cua?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005828024 to five dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 298 - -28d?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 51 (b) 1\/368 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160.000147 + -160. What is a rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1988 and 5581520?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q. Let x be d(2). Let y = x - -7. Let b(t) = -t**2 - 8*t - 6. Does 8 divide b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*w**3 - 191*w**3 + 3*w**2 - 3*w**2.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 1235*o**2 - 84680*o - 1009200.\nAnswer: -5*(o + 15)*(o + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15036672, -30073351, -45110030?\n\"Answer: -15036679*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217 by 6.\nAnswer: -217\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 42 = 40 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 37 + 37 + (-2*y + 1 - 1)*(0*y - 2*y + 0*y))*(-2 - 2 + 3).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001105 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -63*a + 369. What is v(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p - 4 = 0. Suppose -60 = -109*f + 94*f. Let k = -424 - -426. Solve -a = -f*i + 3, -k*i = -4*a - p - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*m + 70 = 0, d + m = -4 + 17. Suppose -4*v + 3*v = -d. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + 4cc6?\nAnswer: 4ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53.58727 millennia?\nAnswer: 53587.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -395, -413, -57, 673, 1777, 3255, 5107?\n\"Answer: 187*g**2 - 579*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185002 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n + 538 = -33*k + 85*n - 51*n, -5*k + 4*n - 72 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 358493150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let b(y) be the first derivative of 0*y - 4\/3*y**3 + 0*y**4 + 1\/24*y**5 + 0*y**2 + 6. Let n(c) be the third derivative of b(c). Give j(n(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 16\/45 (c) 0.4 (d) -0.4 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**2\/2 + 2*i - 30. What is q(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x\/(x\/x**(1\/11))))*x))\/x*(x**(-2)*x)\/x)**24\/((x**(-1\/4)*x)**(-44)\/(x**6\/x*x**(-4\/7))) assuming x is positive.\nAnswer: x**(-2830\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(180)*-3)\/sqrt(9))\/(sqrt(250) + (3*sqrt(250) + sqrt(250))*3).\nAnswer: 6*sqrt(2)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14156106*q**3*s**3 - 143496*q**3*s**2 - 7*q*s**2 wrt s.\nAnswer: -84936636*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - s - s + 29)*(-6*s**3 + s**3 + 4*s**3).\nAnswer: 2*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 = 12. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -3. Suppose v + j*v - 78 = 0. Suppose 4*o - 24 = -o + 4*s, 3*o - v = s. Solve -q + 5 = 0, -o*f + 2*q - 4 = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 53*k - 211. Let g be j(4). Which is the closest to -0.1? (a) g (b) 0.2 (c) -1\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5408, 4, -4, -2 in decreasing order.\nAnswer: 4, -2, -4, -5408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79508 and 28928680.\nAnswer: 376072840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(-54) - (-44)\/(-6). Let k = j + 11. Solve -k = 4*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o + 4 = -w + 32*o, -5*w = -4*o + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**2 - 12*m - 71. Suppose 3 = z - w, 0*w + 12 = -z - 4*w. What is k(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 15. Let i be 4*(-1 + 21\/t). Solve 3*b - 2*b - a = 0, 0 = 2*b + i*a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -31*l + 166. Calculate p(9).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5176*h + 5346*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 + 3*y + 6. Let x(f) = 5*f**2 - 4*f - 5. What is 3*k(a) + 2*x(a)?\nAnswer: -2*a**2 + a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/31 - -41\/155. Let f be (-1)\/((-40)\/85) - (1 - -1). Suppose 2*d = -2*d + 20. Which is the closest to f? (a) 2\/5 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 396*n + 13068.\nAnswer: 3*(n - 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -185, -173, -107, 13, 187?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + g**3 + 6*g**3)*(2*g + g + 0*g) - 3*g**4 + 2*g**2 - 2*g**2 + (0*g**3 - g**3 - g**3)*(3 + 2*g - 3).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -140, -101, -60, -17, 28, 75, 124?\n\"Answer: a**2 + 36*a - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - i = -6*c - 14, -3*i + 42 = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65\/6 in 4, 1, -56, 7, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z + 32. Let n(j) = -5*j + 16. Determine -7*n(u) + 3*x(u).\nAnswer: 5*u - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0, 398\/29, 0.048 in ascending order.\nAnswer: -2\/13, 0, 0.048, 398\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4301277.\nAnswer: 3, 19, 59, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757 + 513 = -r - 4*b, -3*r - 3*b = 3828. Let k be (-1)\/2 + r\/(-36). Determine q, given that 6*q**2 + 25*q**4 + 0*q**2 + 4*q**2 + k*q**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-7))\/(36*(-21)\/441).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.615 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/10 of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 87062, 164844, 242628, 320414, 398202?\n\"Answer: n**2 + 77779*n + 9282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/2 - -5. Let v be 1\/(-2) - 1\/4. Is v <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/20 + 277*d**4\/4 + 556*d**3 + 19*d**2 - d - 2. What is c in j(c) = 0?\nAnswer: -2, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(2\/(-2) - -2). Let k = -20579 + 20574. What is the smallest value in m, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + f - 191 = 0, 2*f - 128 = -3*y + 161. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 2 + (-2 + 1 + 0)*(4 - 4 - 2))*(2 - 1 + 2)*(-2 + 0 - 3)*(-11*f - 45*f + f).\nAnswer: 2475*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 17412*k**3 + k**2 + k + 1. Let x be n(-1). Let j = 32760 + x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) 0.4 (c) -9\/29 (d) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001795 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 1. Let r be i(-6). Suppose -r*g - 24 = -74. Is 10 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -20\/9 (c) 8\/5 (d) -25 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 67.5137.\nAnswer: 67.2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 10387306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 4\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 17, 26, 35, 44?\n\"Answer: 9*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let q(n) = -17*n**2 + 9. Let x(a) = 4*a**2 - 2. Let y(p) = -6*q(p) - 26*x(p). Let v(i) be the first derivative of y(i). Give k(v(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 4)*(-763 + 763 + 61*b**3) in the form y*b**2 + v*b**3 + n + h*b and give v.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 5*c**3 + 2*c + 2*c. Let w be p(-1). Solve -3*s + 2*b - 3 = -6, -w*s + 6 = -2*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 25 = -5*b, -6*b + 8*b = 4*f + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1870075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93279, 186556, 279831, 373104, 466375?\n\"Answer: -l**2 + 93280*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 23*o**2 - 2*o + 2. Calculate l(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645676 is divided by 20177.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 2. Let c(x) = -5*x + 5. Let d(h) = -4*c(h) - 11*j(h). Let q(p) = -4*p + 3. Suppose -12 = 3*g + g. Give g*q(k) + 5*d(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -5*w**3\/3 - 3. Let z(q) = -2*q**2. Calculate s(z(v)).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -8. Let p(m) = -2*m + m + 3 + d. Calculate p(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -16*m**2 + 287*m. Let l be f(20). Is -660 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 10, y: 1, i: 3}. What is prob of picking 1 y and 1 s?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f)**39*(f*f**(7\/3)\/f)\/f**(-10\/9) assuming f is positive.\nAnswer: f**(-1724\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 6:28 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -233 + -4?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1344744 and 1680930?\nAnswer: 6723720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from {e: 1, k: 2, m: 3, j: 10, s: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/20 - 7*g**4\/12 + 7*g**3\/6 + 7*g**2\/2 - 3*g. Let a be i(6). Calculate the greatest common factor of a and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 7:29 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4 - 2500*f**3\/3 - 3764*f**2 - 5024*f - 7323. Solve x(z) = 0.\nAnswer: -2, -1, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/7 - (-245229)\/51576. Let x = -15\/307 - b. What is the common denominator of 2\/7 - (-505)\/(-28) and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssseesss. What is prob of picking 2 e and 2 s?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 - -317. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 + 77169*z**4 + 308619*z**3 - 231525*z**2 - 1388826*z = 0. Calculate z.\nAnswer: -25719, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1)\/sqrt(5))\/(-2*sqrt(1008) + sqrt(7)) + (sqrt(2) - (-2*sqrt(200))**2) + 4*(sqrt(2) + -2) + 5.\nAnswer: -803 + 114*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -22.78. Let d = m - -0.05. Let v = -0.17 - d. Which is the third biggest value? (a) -0.2 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3649.88 - 3582. Let l = m + -1.88. Let q = -5 + 4.9. Are q and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.84254 * 7.\nAnswer: 61.89778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90282 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3410 and 12.\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1494 - -2307. Calculate the common denominator of (-6)\/(-9) - a\/126 and -139\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11436256*u**3 - 7910018*u**3 + 3159021*u**3.\nAnswer: -16187253*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*y + 1903 - 39*y - 1904)*(2*y + 2*y - 3*y) in the form j*y**2 + x*y + d and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 581 and 3.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 2. Let u be j(-3). Let n = u - 12. What is the smallest common multiple of (748\/(-110))\/17 - 1\/((-20)\/168) and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -32, -52, -72?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -29*m + 24. Let t(g) = 25*g - 26. Let o(q) = 4*p(q) + 5*t(q). Let j be o(6). Calculate the highest common divisor of 340 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -162*y - 9820. Let i be s(-61). What is the highest common divisor of 2666 and i?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910625 is divided by 303537.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255192235.\nAnswer: 5, 191, 267217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Solve y*t**3 + 16*t - 32*t**2 + 42*t**2 - 26*t**2 = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**3 + r**2. Let q be m(1). Let y = -8 + q. Let p = 4 - y. Solve -4*o = -5*z - 13, p*o + 5*z - 4 = -1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 66. Let p(j) = j**3 - 17*j**2 - j + 22. Let n be p(g). Suppose -n*v = -6*v + 108. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/5 - 3011752*w**2 + 28345766533434*w\/5 + 56691593301924\/5 = 0.\nAnswer: -2, 3764691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**4\/6 + j**3\/6 + 4*j**2. Let c be f(1). Solve b - c*b + 5*p = -19, 3*p = -9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(143) - sqrt(143)*2*1 - sqrt(143))\/sqrt(11))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.4 > 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/47628 and 139\/138348?\nAnswer: 2905308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.76 in 32, 0.3, 0, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2284, 4568, 6852?\nAnswer: 9136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1225*k**3 + 1050*k**2 + 1050*k - 1050. Let n(l) = l**3 - l**2 - l + 1. Give 1050*n(r) + o(r).\nAnswer: -175*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 7*p**2 - 74. Let g(c) = -5*c**2. Give s(g(f)).\nAnswer: -70*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9*m + 11562 = -3030. Is 32 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, -87, -588, -1405, -2598, -4227?\nAnswer: -6352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 80 - 104?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - o - 20. Determine h(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943631479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -671, -670, -669, -668?\n\"Answer: d - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 208\/10 - ((-7)\/5)\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18317627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416892.\nAnswer: 2, 3, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -31803*f - 3339294. Give k(-105).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 2 - 4)*(4 - 4 + i) as d*i + g and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.4 and 2107?\nAnswer: 2114.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/4)\/((-49)\/1764). Put 3, 6, b, -1 in decreasing order.\nAnswer: 6, 3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6821\/20 - 1389\/5. Let y = 63 - w. Let h be 3\/(-2) + (3 - 2). Is y at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -429.56*162.6.\nAnswer: -69846.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 439903*y**2 - 8*y + 5. Let u be j(1). What is u rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210021 (base 3) in base 16?\nAnswer: -23e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w - 2. Suppose -4 = -2*d - w*d. Let f = 765126\/469 + -11420\/7. Is d greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**3 + 3*v - 3. Let i(f) = 7*f**3 + f**2 - 3*f + 4. Let l(t) = 4*i(t) + 5*r(t). What is the units digit of l(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -355\/6. Let x = -5038\/15 - -336. Let v = 3.9 - 4.2. What is the closest to s in -0.01, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -0.19, -3, -0.084, 1\/7 in ascending order.\nAnswer: -3, -0.19, -0.084, 1\/7, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0*k**3 - 2*k**2 - 1\/30*k**5 - 1\/210*k**7 + 0 + 0*k + 1\/40*k**6 + 0*k**4. Find h such that m(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 + -84. Suppose -2*p - p + 4*a - 96 = 0, -t*a + 27 = -p. Which is smaller: -34 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 41 = -0*o - 4*o, 0 = -3*y - 5*o + 95. Suppose 0*q - 5*q = -4*i + 1375, 5 = q. Let v = 575 - i. Calculate the highest common factor of v and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/18859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -j + g + 2, 2*j + 20 = 4*g. Let o(a) = 5*a. Give o(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four ninths of a day in minutes?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592634541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1238 and -11?\nAnswer: -13618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Let n be 3700\/((-2 - s)\/(-2)). What is n rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3568*p - 112 = 3576*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 995278 - 995278 + 180*p.\nAnswer: 180*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + -1.1. Let s = -0.4 + x. Let j be (1\/(-3))\/(2\/15). What is the second smallest value in j, -1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (3 + (-4 - -9))) + -5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9176.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 101 + -7312b?\nAnswer: -7302a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 + 8*l + 1. Let v(g) = -g**3 + 7*g**2 + 9*g. Let b be v(8). Let f be r(b). Sort f, -1, 3 in increasing order.\nAnswer: -1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-8))\/(6\/(-57156))?\nAnswer: 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:17 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0 + 0*j + 1\/24*j**4 - 11*j**2 - 7\/6*j**3. Let q(l) = -l + 6. Determine -6*n(u) - 7*q(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 737 + -737 + -3 + 1 + 9 + -26.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4422, -4380, -4332, -4278?\nAnswer: -4218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -184*s + 162*s**2 + 333*s - 165*s - 7 + 26. Is n(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2156\/9 + 24175\/99. Let o = 315106888 + -993531996850\/3153. Let j = o - -2\/1051. What is the common denominator of j and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1025 and 1210425?\nAnswer: 49627425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/5, 16, 3\/4 in decreasing order.\nAnswer: 16, 3\/4, 1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -61\nAnswer: -13\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 + 11*u + 5. Let k(x) = 6*x**2 + 9*x + 4. Let w(v) = 6*k(v) - 5*z(v). Let i(m) = 2*m**2 - 5*m - 6. Determine i(c) - 4*w(c).\nAnswer: -2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-5) + -3 + (-39)\/(-105).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10641342.\nAnswer: 2, 3, 67, 103, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*d = 2*v - 15, -d = -2*v + 7. Find the second derivative of -3*y - 4*y**v + 5*y + 3*y**2 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -4546\nAnswer: 36368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((35\/(-21))\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = y - 2*y + 2*n, -4*y = 5*n - 39. Let i = y + -12. Solve -3*z**2 + z**5 + 3*z**i + z**3 + 2*z - 4*z + 0*z**2 = 0 for z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*u + 110*u = 11031. Suppose 4*w - 5*s = 4895, -3*w - 3*s = -s - u. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6655372 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + r)*(2 + 0 + 0) + 88 - 88 + 8*r + (0 + 0 - r)*(-3 + 8 + 2).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 476439255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Suppose 2*h = 7*h - 1715. Let f = h - 338. What is the remainder when f is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15536 or -108753\/7?\nAnswer: -108753\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13936 is divided by 6923?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, 5, 1 in increasing order.\nAnswer: -12, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y - 8*y = -247*y - 2196 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2 + g**3 - 1 - 4 - 6*g + 2*g + 3*g**2. What is the units digit of y(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 - 2*w**4 + 0*w**4 - 4*w**4 + 3*w**4 + 2*w**4 + (1 + 2 - 1)*(-2*w**4 + 0*w**4 + 4*w**4).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1309*l + 3. Let b(i) = 572032*i + 1312. Give -6*b(p) + 2624*d(p).\nAnswer: 2624*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8881213 months to millennia.\nAnswer: 0.000240676775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 28. Let u be b(-7). Solve -2*t - 23 = 5*m, u*t = -3*t + 3*m + 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7 - (75 + -55) - -7) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -206.247005 to 2 dps.\nAnswer: -206.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.689 times 410279?\nAnswer: 282682.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 5. Let k(h) = -h**2 - 4. Let p be 9\/3 + 1 - -1. Let b(m) = p*k(m) + 4*x(m). Let j(d) = -5*d. Determine j(b(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/5, -3\/4, 2, -5, 3021 in increasing order.\nAnswer: -5, -1, -3\/4, 1\/5, 2, 3021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 287 + -150. Let x = 21 + z. What are the prime factors of x?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8353102 by 59.\nAnswer: 141578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2172 + 4707 - 12*r - 1268 - 1275.\nAnswer: -12*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 5*h**2 + 3*h. Let t(l) = l**3 + 4*l**2 - 3*l - 1. Let b(y) = 2*n(y) + 3*t(y). Determine b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*u**2*z - 458041895*u**2 + 12*u*z**2 + 87*z**2 - 88*z wrt z?\nAnswer: 4*u**2 + 24*u*z + 174*z - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdbbbbbbu. Give prob of sequence db.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from {l: 5, c: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.3 + -39. Which is the closest to -0.1? (a) j (b) 80 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -7\/15 (c) 2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -13 - -39 - 36\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 23*y + 12*y + 10*y)*(-5 + 10 + 15) to the form i + f*y and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**3 - 18*n**2 - 2*n. Let y(q) = -9*q**3 - 36*q**2 - 5*q. Let u(d) = 5*t(d) - 2*y(d). Suppose u(r) = 0. What is r?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9169 + -0.0831. Let j = 228 + -531\/2. Let t = -36 - j. Which is the closest to u? (a) t (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 2*u - 11. Let x be p(8). Is 1 + x - 28\/7 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418 + 81 - 112 - 4*a**3 + 2*a**3 + 3*a**3.\nAnswer: a**3 + 387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3417 = -11*x - 14197. Let m = -453 - x. Calculate the remainder when m is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100010111100101111?\nAnswer: 100010111100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 29*w**2. Let o(x) = -12*x**2. Calculate o(m(a)).\nAnswer: -10092*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11452 - 64034?\nAnswer: -52252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1636 + 3?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 120 = 22*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from {y: 1, h: 1, e: 2, b: 2, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrw when three letters picked without replacement from {l: 1, r: 2, w: 1, y: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 - 5497478\/(-98)) + 4\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 8) in base 5?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f - 401 = -41 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 - 38*z\/7 - 1200.\nAnswer: 2*(z - 75)*(z + 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5788927 + -5?\nAnswer: -5788931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*w**3 - 3*w**2 - 203.\nAnswer: 135*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3609, 3686, 3959, 4524, 5477, 6914?\nAnswer: 8931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*(-40)\/60.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 35*d - 33*d - 2)*(-1 + 2 + 1).\nAnswer: 4*d + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aa05c5 + -89?\nAnswer: aa0539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i - 6. Let r(a) = a**2 + 11*a - 16. Let h = 7 - 19. Let v be r(h). Is 5 a factor of p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4635, -9139, -13505, -17733, -21823, -25775?\n\"Answer: 69*v**2 - 4711*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**3 - 6*o**2 + 6*o**2 - 72*o**3.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 52. Suppose 14 = 2*o - g. Suppose -11569 - o = 4*n. What is n rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -17, 0, -2, -6951.\nAnswer: -6951, -17, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:59 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1008) - (sqrt(1008) - (-2*(0 + sqrt(1008)) - sqrt(1008))) - ((sqrt(1008) - (-4 + sqrt(1008))) + -3)**2)*5 + -1.\nAnswer: -180*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l + f, -4*l - 182*f + 6 = -184*f. Let 15\/7*a - 6\/7 - 9\/7*a**l = 0. Calculate a.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-142)\/(-270) + -1 + (-24)\/(-324). Is 10\/531 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2. Let b(y) be the third derivative of 0*y**3 + 1\/60*y**5 + 0 - 11\/8*y**4 + 57*y**2 + y. Calculate g(b(j)).\nAnswer: -3*j**4 + 198*j**3 - 3267*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1932.575 rounded to the nearest integer?\nAnswer: -1933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5. Let u be 2*(-3 + (-7)\/(-2)). Let m(p) = -p**2 - 1. Let j(z) = u*x(z) + 6*m(z). What is the first derivative of j(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 11 + 3. Let y(c) = s - 4 + 8*c - 9*c. Let v(k) = 4*k**2. What is v(y(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 469986859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 927623 and 173171?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1725.1 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -146*w - 1548. What is n(-11)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98\/9 - -32\/3. Let x be 37\/22 - (-42)\/(-28). What is the biggest value in f, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-918)\/15147)\/((-12)\/22).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/94 + 3509\/658. Find the common denominator of 14\/3 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - b**2 - 5*b + 8 - 3*b - 7 as v*b**2 + s + a*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3257672 or -3257680?\nAnswer: -3257672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(sqrt(98) + 0 - sqrt(98))*2*-4)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88938*w - 44453*w - 44463*w + 4*w**2 + w**2.\nAnswer: 5*w**2 + 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 12:22 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499634 divided by -364.\nAnswer: 249817\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7ca42a - d?\nAnswer: -7ca439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29584 + 7*x - 29590 - 29600 + 3*x + 118362 - 29588.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 - x**4 - 7*x**4 + (-2*x - x + 2*x)*(2*x**3 - x**3 - 4*x**3))*((-6 + 7*x + 6)*(4 - 4 - 1) - 2*x - 4*x + 5*x).\nAnswer: 16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-1) - (-33 + 18 + 2 - -18). Suppose 2*b + 11 + 25 = 0. Sort g, b, -3.\nAnswer: b, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzit when four letters picked without replacement from {e: 3, i: 1, c: 1, z: 12, t: 1, w: 1}?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*l + 15 + 200*l - 401*l.\nAnswer: -10*l + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-294))\/(-17 - 1526\/(-90)). Are u and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -33, -74, -131, -210, -317, -458?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1170 and 51\/36985.\nAnswer: 665730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*k + 2*k + 2*x, -3*k = 4*x - 54. What is the least common multiple of k and 15*-2*(-2)\/10?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 335*(-1)\/(-15) - 2\/6. Let p(a) = -3*a**3 - a**2. Let o be p(-1). Solve -o*x - 2*h = 2*h - s, -3*h + 9 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 - k**4 + 5*k**4 + 4*k**2 - k**4 - 4*k**2 + (0 - 2 + 0)*(k**4 + k**4 - 3*k**4) - 3084*k**4 - 1429*k**4 - 2063*k**4.\nAnswer: -6574*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34192 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -152, -144, -136, -128?\n\"Answer: 8*s - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(3\/10)*(v*v*v*v**(-37)\/v)\/v*v*(v**(-8))**(-1\/6) assuming v is positive.\nAnswer: v**(-989\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*r**2*x**2 + 17059*r**2*x - 8*r*x**3 - 2*r + 10*x**3 + x**2 + 3*x wrt x?\nAnswer: -62*r**2 - 48*r*x + 60*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 3 + (6 - 17 - -7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 + -0.15. Let o = 3.7 - 4. Let b = o - y. Is b <= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7686 is divided by 7616?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**(2\/3))**(-1\/20) assuming h is positive.\nAnswer: h**(1\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876709343?\nAnswer: 19, 787, 58631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 23\/3*(-9)\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03758 rounded to 3 dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10450 = 784*i - 6009*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + 2, -5*b = l - 12. Suppose 2*q - c + 6*c - 27 = 0, 4*c = -3*q + 37. Let k(j) = q*j - 2*j**l - 11*j. Let a(i) = -4*i. Determine a(k(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 14. Let u be n(15). Let g be -2 + 3 - (1 + u). Put g, 0, 1 in descending order.\nAnswer: 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 18. Let w be s(-18). Suppose w = d + 3*d - 184. Let x = d + -43. Solve 0 = x*q - 2*q - 5*z - 15, -3*q - z + 13 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593862 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -54*l + 59*l + 11, -5*l + 21 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 3, k: 3}. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-30))\/(4\/(-13))*(-124)\/3534*-38?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -116*j + 518. Determine g(-13).\nAnswer: 2026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-49))**36\/((((k*k*k\/(k*k\/(k*k**7)*k)*k*k)\/k)\/k)\/(k\/(k\/(k\/(k**36*k)*k)))))**(2\/13) assuming k is positive.\nAnswer: k**(-278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -171244*v + 2054929. Determine o(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1026 - -1434. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -14, -32, -70, -134, -230, -364?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.17, 3\/7, 6, 2, -2\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, -2, -1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 5*f - 4 - 14, -d + 3*f - 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*l - 43, 0 = n + 2*n - l - 101. Let a = n - 25. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 23, 2, 8 in descending order.\nAnswer: 23, 8, 6, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + (-6 - -14) + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 18. Let l be k(18). Which is the nearest to 5? (a) 0.2 (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92555 is divided by 535.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*x**2 - 3 + 75*x**2 + 2 - 19*x**3.\nAnswer: -19*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1698 = 25*m + 1123. Solve -18*v = -m*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. What are the prime factors of 45 - (0 - q\/5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 22989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*p + 22936, -p = 2*n - 2690 + 14162. Let v = p - -229339\/20. Calculate the common denominator of v and 0\/(-1) - (-285)\/66.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 - 1)) + (16 + -7 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 23. Suppose b*u - 10*u = -6. Sort u, 2, -5 in ascending order.\nAnswer: -5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66.3424 - -0.0424. Let g = 66.2 + v. Which is the closest to 0.1? (a) 5 (b) -14\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/120 - u**5\/10 - u**4\/4 - u**3\/6 - 4*u**2. Let x = -10 - -7. Let y be (-10)\/6*(x - -6). Give c(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1*(9 + 312\/(-36)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 23 in descending order.\nAnswer: 23, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:39 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 18*s**2 - 5*s + 12. Determine x(18).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -3c?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 429 and 6?\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.51 + -0.51. Which is the nearest to -0.4? (a) 0.5 (b) q (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 5*p**3 - 4*p**3)*(7 + 0 + 4)*(-4 + 3 - 1)*(-3*p + p + p).\nAnswer: -22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 1, r: 2}. What is prob of sequence rsr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21981367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1881, -3788, -5695, -7602?\n\"Answer: -1907*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - r**2 + 123*r + 448. Let x be l(-4). Calculate the highest common factor of x and 5508.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 103. Give m(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80267 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6377)\/(-77) + 16\/88. Suppose 5*j = 5*a - 420, -a + 3*j + 0*j + 86 = 0. Is a >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**5\/210 + d**4\/42 + d**3\/21 + 5*d**2\/2 + 6*d. Let x(s) be the first derivative of y(s). Factor x(z).\nAnswer: 2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.897 - 11.197. Which is the nearest to 139\/6? (a) f (b) -2\/3 (c) -0.2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743 + 683 = 4*p + 2*c, -4*p - c = 36 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - -5*(sqrt(931)*2 + sqrt(931))) + sqrt(931) + sqrt(931) + 4*(-2*sqrt(931) - sqrt(931)))**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {m: 1, o: 3, p: 2, d: 1, n: 3, a: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1058\/5, -23, -5, 3\/4, -49?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4225675 (base 10) to base 8.\nAnswer: -20075213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (284 - 283) + (2 - (-12)\/(-10))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2500 and 5?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 + 1.6. What is the closest to 1 in z, -1\/17, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2378597.\nAnswer: 13, 182969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 9 - 3. Let c be 2 + 195\/w - -3. Let o be (-2)\/6 + 16\/c. Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kll when three letters picked without replacement from {u: 1, k: 6, h: 3, l: 7}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (23 + -11) - (2 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 121. Let n = c - 8. Solve 20 = -n*k + k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = -7. Let v(b) = -9*b - 3*b + j*b. Let u(h) = 2*h**2. Give u(v(y)).\nAnswer: 162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1139*j = 1148*j + 90. Let h(q) = 2*q - 12. Give h(j).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/9 (b) 9 (c) 0.09 (d) 0.1 (e) -0.2798\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 10*t**2 - 17*t + 14. Determine q(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3023541 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = x - 4*i - 5, 32 = 4*x - 4*i. Calculate the lowest common multiple of 44 and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1764)\/sqrt(7) + sqrt(14)\/(sqrt(90)\/sqrt(5)))**2 + -3.\nAnswer: 35260\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + -0.2. Let o = -43.97 - 0.03. Let i = o + 44.2. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r\/(r\/r**(-7))*r)\/r*r*r*r)))**50)**(-1\/39) assuming r is positive.\nAnswer: r**(200\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34279 and 19422?\nAnswer: 8021286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -708*g - 32. Let f(u) = -109*u - 5. Give 5*c(r) - 32*f(r).\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525140 divided by -11935.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9394920 and 95\/1878984.\nAnswer: 9394920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-680))\/((-12)\/10 + 0)*-3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - sqrt(19))*1*2)**2 + 2.\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 + -104. Which is the second biggest value? (a) i (b) -5\/2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(95) - -5*(sqrt(95)*-1 + sqrt(95)) - sqrt(95)*-1*-1)\/((sqrt(10)*-2*-1)\/sqrt(2))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -5*b + 6*b + 3, 5*w = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 1, e: 1, x: 1, w: 3, z: 5}. Give prob of sequence xeoz.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 4*t**2 - 544330*t + 544333. What is q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 153, 235, 317?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - 2 - 57 - (0 + -22).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 82.9. Let i = d + 0.1. Let o = -0.7 + 1. Which is the closest to 2\/5? (a) -0.1 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-3)*(-2985)\/1990.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 729 and 3888.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 17. Let k be (-408)\/(-20) - (-2)\/(-5). Let i be (-2)\/(1 - k\/24). What is the tens digit of b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 1\/5 (b) 8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6) - 2\/(-6). Let p(k) be the first derivative of -211111*k**4\/4 - 3*k - 30. Let o be p(n). Round o to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3 + 4*p**2 = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -341.858 + -0.142. Let c = 307 + u. What is the third smallest value in -1, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3812564 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223 - -315. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - q + 10, 0 = b - 4*q + q + 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40556055 divided by -965.\nAnswer: 42027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 27*h + 201. Let g be z(-6). Solve g*p - 4*i + 7 = -13, 4*i = 2*p + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 2 - 1*2) + 3. Let s be 3\/12 + (-1)\/4. Find the second derivative of -13*a + s*a**4 + 2*a**4 + l*a wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m - 320 = -80 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 - -15969.95?\nAnswer: 15795.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 303*k**3 - 4*k**2 + 3*k + 1070. Let v(b) = 908*b**3 - 11*b**2 + 9*b + 3216. Let y(t) = -11*h(t) + 4*v(t). What is the first derivative of y(j) wrt j?\nAnswer: 897*j**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1392\/(-34) + 2115\/(-35955)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/(1\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 9*f + 20 = 0. What is the third derivative of -l**2 + 4*l**2 + 4*l**2 + 6*l**f + 5*l**2 wrt l?\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1418049, -2836074, -4254099, -5672124, -7090149?\nAnswer: -8508174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 9. Let q(w) = 162*w - 162*w + 7*w**2 + 7*w**2. Determine c(q(t)).\nAnswer: 56*t**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 434952 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2) - -12*(-36)\/48.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d - 2579?\nAnswer: -2608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*4 - (sqrt(170)*-1*-5 - sqrt(170)))\/((2*(-2*sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70))\/(sqrt(847)*1)).\nAnswer: 88*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1604)\/12)\/((3\/(-1))\/(-9)). Let z = 725 + j. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002999 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 17*b + 37. Let p(f) = 8*f**2 - 34*f + 73. Let y(i) = -5*m(i) + 2*p(i). Let s = -51 - -30. Does 5 divide y(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4597 + 4993. Calculate the remainder when w is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179684672 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = -4. Let x = j - -3. Suppose -o = -r + 3*r - 38, 0 = 3*o + x*r - 98. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)**(-48))**(-14\/5)*(q*(q*q*q\/(q*q*q*q**(-1)))\/q)**32\/(q**(-2\/7))**33 assuming q is positive.\nAnswer: q**(6154\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000937396264 to 6 dps.\nAnswer: 0.000937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = f + 16, 0*a - 4*a = 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102100 + -1010200110121?\nAnswer: -1010200212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 1. Let o(w) = 1. Let y(s) = h(s) + o(s). Let q(f) = -4 - 496*f - 486*f + 4 + 1008*f. Determine q(y(t)).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 491830604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/28479 - -2420611\/1480908. Find the common denominator of q and 8\/611.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 4 = -6*c. Suppose 5*r + c = 16. Suppose 12*h = 15*h + r. Which is smaller: 1\/6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-500419 - 790*n + 500419)*(0 + 3 - 1) + (4*n - 2*n - n)*(2 - 5 + 1).\nAnswer: -1582*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 13 + 24 = p, -l - 7 = -5*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 2:34 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3083 - 0.3083. Which is the nearest to -32\/7? (a) 3 (b) 0.2 (c) f (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.11 + 0.11. What is the smallest value in -0.3, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922123739 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 22 (b) -6 (c) 2\/21 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 8*i**2 + i + 2. Give d(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 29 - 5 = 0. Let d = 9 + k. Let j(q) be the first derivative of q**2 + 4*q - 1. Calculate j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 divided by -2?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*q + 13, -15 = -3*q - 2*o + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4 - 0. Let p be (t - 1) + 5 + -2. Suppose 0 = -p*m - 3*j + 2, 3*j = -m - 2*j - 8. Solve l - 4*h + 4 = h, 0 = 5*l - m*h + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 - -1.2. What is the second biggest value in -4, o, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -3\/4 (b) -4 (c) 4\/7 (d) 1 (e) -5.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12)*(-86)\/430?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**7\/30 + 2*m**3\/3 - 9*m**2. What is the first derivative of b(d) wrt d?\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*j - 15*j**2 + 2*j**2 - 4*j - 21*j**2 - 13*j**2 to t + p*j**2 + b*j and give b.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1)\/((-8)\/(-40)). Let b = 8 - l. Solve -2*y = -b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 658, 1319, 1984, 2653, 3326?\nAnswer: 4003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3588 - 684 = 8*k. Let p = k - -292. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 + r**2 - r + 1. Let z be v(1). Suppose 2*m = -6, h - z*m = m + 17. Suppose 20 = h*b + 5*l, 2*b - l = -b - 4. Which is bigger: b or -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (4 + (45\/(-25) - 5)). Let d = -3 + -6. Let u = -4 - d. Which is the third biggest value? (a) q (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -376 (base 9) to base 4\nAnswer: -10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-35) + (-47)\/(-7). What is the derivative of -24 - 12*k**3 - 36*k**2 + 36*k**2 - f*k**3 wrt k?\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n**3 + 7*n**3 + 3*n**3)*(7*n**2 - n**2 + 4*n**2) - n**3 + n**3 + 2*n**5.\nAnswer: -18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**2 + 6*a**2 - 4*a**2)*(-37 - 2*a + 105 - 52) to the form g*a**3 + b + p*a**2 + h*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3915 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/12 + -1\/12. Let g = -0.94 - -0.901. Let j = g - -2.039. What is the third biggest value in v, j, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 48, 73, 100, 129?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7629*c - 10. Let r(j) = -4*j + 4. Give -p(q) - 2*r(q).\nAnswer: -7621*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b - 19?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49856009 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -4, -5, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4897*s + 5. Let v(b) = 2452*b + 2. Give 2*h(o) - 5*v(o).\nAnswer: -2466*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2964939165 to the nearest integer?\nAnswer: 54451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z + 24. Let a be h(-4). Suppose -a*l = -3*w - 443, 551 = -0*l + 5*l - w. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*q - 97 - 379 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/25 or -1?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 11:17 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -138.\nAnswer: 35\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Let y(h) = 4*h. What are the prime factors of y(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*j**3 - 100*j**3 + 215*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5989280?\nAnswer: 2, 5, 11, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 - 4 = 4*x, 0 = -5*g - 10. Suppose -w - 28 = x*w. Let v = w - -30. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -48. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*u + 1485 = -40*u. Suppose 18*z = 21*z - u. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 5. Let t = 9 - 7. Suppose -2*z = -5 + 7. Let k be (z - t)*(-35)\/21. Let h(w) = w - 6. Give k*i(d) - 4*h(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 + -11?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*w - 2475, 351 = 5*w - 3*z - 3775. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19710 and 37230?\nAnswer: 335070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = 0. Let y(o) be the first derivative of o**4\/4 - o**3\/3 + o**2\/2 - 2*o - 15. What is y(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p - 44*p - 12*p + 12 as b + r*p and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 4*r**3 - 120*r**2 + 128*r + 640.\nAnswer: 4*(r - 4)**2*(r + 2)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6404 + 6276. Which is the second biggest value? (a) -0.4 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-229533)\/(-27) + -4 + 38\/(-171) - -3. Calculate the greatest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/74872 (b) 33 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 18*o - 4. Let u be y(3). Suppose -2*i = 3*i + u. Let w be 1\/(2 + i\/6). Solve v = 2 - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 9:47 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10\/(40\/1356)*(-7)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-484)\/8)*(-16)\/16.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 + -166 + 9 + 1 + (6 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5309.027 centuries?\nAnswer: 530902.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 2\/5, -0.6, 1\/6, 2, -6\/17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14362 >= 14360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5 - 15*o**3 + 2*o**4 + 2761*o**2 - 2767*o**2 in the form d*o + s*o**2 + b*o**3 + j + u*o**4 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 8, 2\/17, 1\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 3 - z + 1 + (35 - 12 - 9)*(-z + 3*z - 3*z) + (0 + 3 + 2)*(-5*z + 8 - 8).\nAnswer: -40*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4759017953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 542533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y - 96 = 0. Let t = 31 + y. Which is bigger: t or -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-44))\/((-1246)\/(-979))*21\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 448 and 112384.\nAnswer: 786688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let j = g + 7. Let y = j + -7.104. What is y rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 497.8808mg?\nAnswer: 0.0004978808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 + b**2 + 0*b**2 + 5*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 + 328039*h\/5 - 328038\/5.\nAnswer: -(h - 328038)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 276179.61 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -66 + 70 - (-4)\/(-1). Let f(t) be the first derivative of 0*t**4 - 6 + 11\/3*t**3 + w*t + 0*t**2 - 18\/5*t**5. Find the third derivative of f(p) wrt p.\nAnswer: -432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2520366 is divided by 1260183.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let a(h) = 510*h + 1. Let b(m) = -2548*m - 4. Let f(r) = 16*a(r) + 3*b(r). Determine j(f(l)).\nAnswer: 516*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9964\/3 + 3322. Put -3, 1\/7, -0.07, -8, z in increasing order.\nAnswer: -8, -3, -0.07, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w + 5*w + 5*w - 5*w in the form v + z*w and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73\/133 + -5\/19. Let v be (-94)\/14 + (-23 - -30). Find x, given that -v*x**3 + 8\/7*x**2 - 8\/7*x**4 + b*x + 0 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*1)\/sqrt(7) + -5*sqrt(880))\/((sqrt(90)\/sqrt(98) - sqrt(45))*-1).\nAnswer: -133*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4 + 1 + 2). Let m be 3*(-2 + 4 + r). Suppose -7*q + 12 = -m*q. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f = -f - 322. Solve 11*w + 4 + f = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 49378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.9 - -11.4. Sort -1\/8, -79, x, 0.4.\nAnswer: -79, x, -1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b - 63. Let m be s(23). Suppose 3*n - 3*d + m*d - 90 = 0, 5*d + 10 = 0. What is the greatest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/40*-4)\/2)\/((-30)\/(-264))\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 34*t**2 + 7. Let j be h(17). Suppose 0*z + j*z - 14 = 0. Suppose -2*k = -6*k + 8. Calculate the least common multiple of k and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 79?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + sqrt(22)\/sqrt(2) + 0 + -3 + 5*(sqrt(11) + sqrt(77)\/sqrt(7) + -2 + sqrt(11)))**2 + 1.\nAnswer: -468*sqrt(11) + 3734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285850 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*x - 12, 4*x - 5*v = x - 12. Let r = x + 0. Is (-22)\/r + 6\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9*-1)\/3 + 0. Let y(r) = -r**2 + 1. Let c(i) = 2*i**2. Let k(o) = j*y(o) - 2*c(o). Differentiate k(t) with respect to t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 2. Let t(u) = 5*u + 9. Let g(r) = -9*s(r) - 2*t(r). Let w(d) = d. Give g(w(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - j, 0 = -3*k - 0*k + 2*j. Suppose -5 = 5*r - k*r. What is the units digit of -1*(2 - (-3)\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (-55)\/(550\/(-60)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 49*x**2 - 138*x + 13. Is f(40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -70.748. Let l = b - -2.252. Put -2\/13, l, -0.1, 2\/5 in decreasing order.\nAnswer: l, 2\/5, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 83*h = -68*h - 46 - 140, p - 7*h - 25 = 0 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -15, -12, -3?\n\"Answer: 3*h**2 - 12*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12632 - -336?\nAnswer: 12968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 3. Let x(f) = f**2 - f - 1. Suppose 24 - 6 = 6*d. Let a = -511 + 510. Determine a*b(q) + d*x(q).\nAnswer: q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(30)\/(sqrt(10)*-2) + -2)*-5.\nAnswer: 10 + 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*z - 14, z + k + 2*k - 2 = 0. Calculate the common denominator of 42*(z\/(-1) + 38\/(-8)) and 39\/2*2\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122862455 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/18)\/(1\/(-3)). Solve -3*g - 4*u - 4 = v, 0 = -3*g + 5*u + 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 4*t**3\/3 - 4*t**2 - 13*t. Does 24 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19368, 77481, 174338, 309939, 484284, 697373?\nAnswer: 949206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(14\/98)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-3))\/((-2)\/3). Let b(i) = -k*i + 0*i - 3*i - 5*i**2 - 2*i**3. Suppose -3*n + 5 = -10. Let x(l) = -l**3 - 2*l**2 - 2*l. Determine n*x(q) - 2*b(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460639 is divided by 358?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -2, 5, 59, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187152 divided by 48.\nAnswer: 3899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 511 = 13*r + 14*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:13 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-213 - 574 - 13974)*(2*w - 3*w + 2*w) + (6 + 1 - 5)*(2*w - w + 0*w) to the form b*w + y and give b.\nAnswer: -14759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 11) in base 2?\nAnswer: -11110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (26 - 4 - -2). Let r(g) = g**3 - 20*g**2 + 20*g - 15. Let y be r(l). Let a(t) = -y*t - 14 + 6 + 7. Let n(o) = -o - 1. What is -a(h) + 2*n(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**4*t + 4*c**4 - 10656*c**3*t - c**2*t - 11580*c**2 - 5*t wrt c.\nAnswer: -120*c*t + 96*c - 63936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 + 163. What is the tens digit of (-2 + 3)\/(j - 19334\/(-2148))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 d when three letters picked without replacement from {l: 1, v: 1, y: 1, d: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2, -10.4443, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51bb56b - 4?\nAnswer: -51bb573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 283140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 1759989.\nAnswer: 19359879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 434026 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(6\/(-4 - -3)). What is the second derivative of -188*m**4 - x - 617*m**2 - 20*m + 4 + 617*m**2 wrt m?\nAnswer: -2256*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30474*s - 60450.\nAnswer: -30474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21988.0012 from -4385.\nAnswer: -26373.0012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -121710 + 3*f**2 + 185*f + 243420 - 121710. Let a(r) = 2*r**2. Calculate p(a(q)).\nAnswer: 12*q**4 + 370*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 15*j + 3. What is f(4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129229 and 3905.\nAnswer: 504639245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 5 - ((-1350)\/2 - -7). Suppose f = 10*a - 29*a. Which is smaller: -34 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + w + 2. Let u(o) = -9*o**2 + o + 664. What is -2*b(l) + u(l)?\nAnswer: -3*l**2 - l + 660","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*y + 10*y. Suppose 4*o + 15 - 51 = y. Calculate the remainder when 78 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 233 - 187 = 0. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43727314.\nAnswer: 2, 21863657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-30))\/(18*(1566\/6075)\/29)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25d84 (base 14) to base 16.\nAnswer: 16c20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 32*f = 100. What is the highest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2*x**3 - 5*n*x**3 + 2*x**3 - 207*x**2 with respect to n.\nAnswer: 4*n*x**3 - 5*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 - 6 = 3*u, 5*x + 2*u = -3. Suppose l - x = 0, -3*o + 4*l = -2*o. Suppose 13 = o*p - 3. What is the smallest common multiple of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144813044.\nAnswer: 2, 241, 150221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) 0.01 (c) -0.01 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 655 + 218 = 0. Let s = n - 330. Which is greater: -2\/7 or s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4358 = -79*h - 4358. Suppose -1\/4*y**3 + 1\/2*y - 1\/4*y**2 + h = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*r + 1386, 421*x - 418*x - 3*r = 828. Calculate the greatest common divisor of 94 and x.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 2*v**4 - v**4 + (-3*v**3 + 6*v**3 - v**3)*(-300*v + 80*v - 58*v).\nAnswer: -554*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:25 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/4 + 25*c**3\/4 - 141*c**2\/4 + 279*c\/4 - 81\/2.\nAnswer: -(c - 18)*(c - 3)**2*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**7*l))\/(l*l*l**(-1)))**(-1\/9)\/(l**(-2\/9)\/l*l**(-8))**19 assuming l is positive.\nAnswer: l**(1585\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 72*m**3 + 3*m**2 - 2. Let f(x) = -143*x**3 - 5*x**2 + 4. Give -5*b(c) - 3*f(c).\nAnswer: 69*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7006366 a multiple of 1453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -23 - -19) + -16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus -1055?\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*x**3 - 5*x**3 + 1119 + 9*x**3 + 52*x - 1007 wrt x.\nAnswer: 21*x**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 13523?\nAnswer: -13530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/42)\/(9\/(27\/6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 5 (b) -0.0007 (c) 0.2 (d) -4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -50, -2, 5 in descending order.\nAnswer: 5, 2, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153200, 612852, 1378940, 2451464, 3830424, 5515820?\nAnswer: 7507652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9940, 19894, 29858, 39832, 49816, 59810?\nAnswer: 69814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 3*h - 7*h**2 - 3*h.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8658 divided by 3\nAnswer: 2886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*j = -304000, 3*o + j - 251500 + 23500 = 0. What is o rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-4)\/4 - -1. Suppose 0 = 2*c + v*d - 64, 7 = c - d - 25. What is the remainder when 61 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -29 + (15 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 1512?\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174 - 481. Let v = 147 + n. Let s = 275 + v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/5 - 267*s**3\/5 + 1386*s**2\/5 + 390972*s\/5 - 392088\/5 = 0. What is s?\nAnswer: -62, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 - -282. List the prime factors of a.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 22*o + 1208. Give x(-55).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5 or -84525?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127677502.\nAnswer: 2, 2111, 30241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 2*k - k)*(0 - 6 + 1)*(0*k - 2*k - 4*k) - 3*k**2 + 3*k**2 - 6*k**2 in the form y*k**2 + j + v*k and give y.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/(sqrt(48)*1 - sqrt(12)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -148. Solve 4*z - 5 = 3*s - 1, 0 = y*z - 2*s - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z. Let m(p) be the first derivative of -p**2\/2 + 1. What is m(k(i))?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-7))\/(-3) - (-88802)\/49.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/157011 and 22\/3.\nAnswer: 157011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2. Let p(d) be the second derivative of -d**3 - 9*d. Determine p(r(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16463869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 17784 = -6*o - t, 22237 = 5*o + 3*t. Is 159 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.123 and 9680?\nAnswer: -1190.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521257599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -22. Let n be 4 + 3 + p + 0 + -2. Suppose 2*x - r - 4 - 7 = 0, 2*x - 21 = n*r. Solve -4 = -x*q - q + 4*y, -2*q + 3*y + 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d**2 - 310*d + 426. Give n(26).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 701453.\nAnswer: -17\/701453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-3 + 7))*(0 - 5). Suppose d + 10 = 5*l. Solve 2*t = -l*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004276763 rounded to 7 dps?\nAnswer: -0.0004277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 19*t**2 + 3*t + 4. Let d be j(-1). Suppose -12 = -3*l - 3*n - 3, l = 2*n + 9. Calculate the greatest common divisor of l and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.193 + -342.9426\nAnswer: -342.7496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 1122995 = j + 423886, 0 = -j - 4*g + 699093. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.021 + -5. Let m = y + -0.521. Which is the nearest to -1? (a) m (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*u - 44663 = 0, -6*f - u = -2*f - 35744. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2396793, -2396798, -2396803, -2396808?\nAnswer: -2396813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 654 - 650. Let r = -4 + 7. Solve v = -3*v - 4*p - n, 6 = r*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2073\/17 + 2189003\/17952. Calculate the common denominator of j and 5\/1452.\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 - -2*(2\/13 - (-272)\/(-416))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*a - 42257*a**3 - 219*a - 214*a - 15173*a**3.\nAnswer: -57430*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j - 294 - 7*j + 23*j + 9*j - 7*j. Let a be z(11). Factor -8\/7*w**a + 16\/7*w - 4\/7*w**4 + 12\/7*w**2 - 16\/7.\nAnswer: -4*(w - 1)**2*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-1 - 1)*-1. Let j be -3 + -65*(-1)\/21. What is the smallest value in c, j, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 25. Suppose 0 = -k - 1 - z. Let m = k + 22. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 2\/9, 0.89 in decreasing order.\nAnswer: 5, 0.89, 2\/9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 55 - 54 = 0, 7 = -4*z - 5*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194163 is divided by 1194114.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -25*a + 7685. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -23, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*i**5 + 6*i**2*u + 2*i**2 + 91*i - u + 1 wrt i?\nAnswer: -440*i**3 + 12*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 23*d - 3 - 24*d - 4. Calculate g(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 - 2 = 0. Suppose 5*y - 5*g = 20, -k = -y - 5*g + 13. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 192*l - 17789. Determine d(56).\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from mmmmffin.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m + 15. Let p(d) = 6*d + 8. Suppose 4*q - 5 = -5*o, -6*q - o = -4*q + 5. Let k(n) = q*p(n) + 3*u(n). What is k(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*g + 28 = 0, -8*r + 3*g + 23 = -4*r. Let f(u) = -4*u**2 + 2*u - 6. Let v(x) = -3*x**2 + x - 5. Give r*v(s) - 4*f(s).\nAnswer: s**2 - 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1153*x**3 + 2494*x**3 - 1337*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllllvlvll. What is prob of picking 3 l?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2371 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -6 (c) -5 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7412, -59259, -199978, -474005, -925776, -1599727, -2540294, -3791913?\n\"Answer: -7406*v**3 - 5*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*g + 8*g - 4*j, 0 = -3*g - 3*j + 12. Let v(l) = -6*l**3 - 3*l**2 + l. Let x(p) = 7*p**3 + 4*p**2 - p. What is g*v(q) + 3*x(q)?\nAnswer: -3*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*((sqrt(272) + 1 + sqrt(272))*2 - -5*(sqrt(2448) + 0)))**2.\nAnswer: 2736*sqrt(17) + 883764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 5 + -5 + -12 + 5 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (13 - 4)) + 5 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n + 5. Let m(k) = -k - 1. Let o(l) = -63 + 136*l**2 - 135*l**2 + 5 - 10*l. Let f be o(14). What is f*m(u) - w(u)?\nAnswer: -3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 11. Let c be l(7). Suppose 5*z + 3*b = 6, c*z - 2*b - 15 = z. Suppose 0 = z*w + m - 135, 0 = -0*m - m + 3. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z + 5*i + 10 = 0, -z - 2 = i. Let p = 6 + z. What is the lowest common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 307956900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.6 (b) 11.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let f(o) = 1313*o - 12. Let k(v) = -6*a(v) + f(v). What are the prime factors of k(1)?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0.833?\nAnswer: -2.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 - 39*d**2 + 44 - 37 + 9*d.\nAnswer: -25*d**2 + 9*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 237975*j + 237973*j - 475946*j. Let g(v) = 5377*v**2. Determine g(b(w)).\nAnswer: 21508*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 226?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6282\/(-75)*(-120)\/(-9). Let i = n + 1117. Factor -i*a**3 + 0 - 6\/5*a**2 - a.\nAnswer: -a*(a + 1)*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 199 + 53. Calculate the remainder when 628 is divided by d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*o + 215, -j - 2*j + 260 = -4*o. Calculate the highest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1545891497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/85195 and -29\/139410?\nAnswer: 1533510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 9. Let r be g(-8). Let z = 19 - r. Suppose -z*w + 49 = 3*c, -4*w - 82 = -5*c - 7*w. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 868.6 + -686. Let m = 183 - q. Let o = -9 + 14. Which is the third smallest value? (a) o (b) m (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (2 - 19\/3)*(16 - 19). Let j(z) = -z**2 + 18*z + 36. What is j(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.2 (c) 24 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -16*q**2 - 117*q - 25. Let z(v) = -17*v**2 - 128*v - 27. Let c(d) = 12*p(d) - 11*z(d). Let h(m) = 16*m**2 - 11*m + 10. What is -7*c(o) - 2*h(o)?\nAnswer: 3*o**2 - 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2\/(-1) - 0). Suppose k - 8 = -4*y. Let h(n) = -3*n + 2. Give h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v**(5\/6)*(v*v\/(v*(v\/v**(2\/5))\/v))**(-8\/9))\/((v**(-2\/5))**(-33)*(v**(2\/7))**(-26)) assuming v is positive.\nAnswer: v**(-1283\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12563, -12549, -12531, -12509, -12483, -12453?\nAnswer: -12419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 0*i + 28*i = 0. Let u = 25689\/13 - 1977. Which is the closest to -1\/2? (a) u (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - 3*r, -5*l + 0*r = -3*r - 19. Suppose l*t - 40 - 120 = 0. Is 10*(t\/(-10) - -4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3826*i**2 - 4 + 3831*i**2 + 6*i + 0*i - 350*i**3 + 349*i**3. Let u be -15*(-2 - (-8)\/5). Calculate v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r**2. Let o(i) be the first derivative of i**3 + 33. What is o(q(c))?\nAnswer: 243*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -280 - -286. Let j(q) be the second derivative of 2\/15*q**3 + 0 + 0*q**4 - 1\/25*q**5 + 1\/75*q**m + 5*q - 1\/5*q**2. Factor j(c).\nAnswer: 2*(c - 1)**3*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -2d?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z**4 - 5*z + 5*z + (2*z**2 - 7*z**2 + 0*z**2)*(-2*z**2 - 1 + 1) to the form r*z**4 + p*z**3 + u*z + h*z**2 + x and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.2 - 5.8. Put -1.3, l, -4 in decreasing order.\nAnswer: l, -1.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-2) - 75\/22 and (3\/(-66)*-8)\/(3\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j - 50. Let f = j - -28. Let z be (-2)\/f + 286\/33. What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 1, 7, 5, 562 in descending order.\nAnswer: 562, 7, 5, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3047, 3042, 3027, 2996, 2943, 2862?\nAnswer: 2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4032 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3882863*y**6 - 78*y**2 + 67*y + 252?\nAnswer: -465943560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0458 + -1.9542. Let s = 5 + -4.9. What is the closest to s in b, 3\/5, -6\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42.882551484 and 2.6435.\nAnswer: -40.239051484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 692035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48206 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59785.\nAnswer: 5, 11, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/(-2)*2. Let w = 0.02 - 0.22. What is the nearest to c in w, -0.5, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 0*r + 0*r**4 - 45*r**2 + 0*r**3 + 49\/5*r**5 - 35. What is the second derivative of h(p) wrt p?\nAnswer: 588*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -580164, -1160336, -1740512, -2320692, -2900876, -3481064, -4061256?\nAnswer: -4641452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/60 + o**4\/12 + 13*o**3\/6 + 19*o**2. Let l(f) be the first derivative of x(f). Calculate l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44 (b) -1056\/35 (c) -0.3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7)\/(n**5*n))**(-1\/84) assuming n is positive.\nAnswer: n**(43\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikk when three letters picked without replacement from irvivkiikiviiiirik?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + x**3 - 2*x**2 + 83*x**2 - 88*x**2.\nAnswer: x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + x**2 + 11. Let s be w(0). Let h be (-6)\/21 + 80\/(-14). Let f = s + h. Solve 2*a = -f*t - 18, 2*t + 2*a + 14 = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/b**(-4))\/b*b**(-4))**(1\/4)\/((b**2\/b)\/b**(-2\/3)*b**(-3\/7)\/b**(-6)) assuming b is positive.\nAnswer: b**(-587\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 25. Suppose -9*j + 114 - 33 = 0. Solve -3*y - j = 4*m + m, -2*m - 3*y = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50022 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10178076.\nAnswer: 2, 3, 848173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -1\/9, 24\/5, -3\/7, 0.2, 2\/27, -1.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-10\/9)*w*w**(-23)*w)\/(w\/w**(3\/5))**(-2\/61) assuming w is positive.\nAnswer: w**(-51814\/2745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -29 and -117\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 12*z - 116*z - 37)*(2*z - 1 + 1).\nAnswer: -208*z**2 + 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5688*y - 119. Is m(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.03 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 56 = -f - 2*r, -4*f - 5*r = -188. Suppose -f*i + 327 = -49*i. What are the prime factors of i?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, 35, 83, 131, 167, 179, 155, 83?\n\"Answer: -2*h**3 + 18*h**2 - 4*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 4 - sqrt(4)\/(sqrt(18)\/sqrt(9)))**2 - ((sqrt(80) + (sqrt(80) - -1*sqrt(80)))\/sqrt(5) + sqrt(16))\/((sqrt(8) + sqrt(72))*5).\nAnswer: 239*sqrt(2)\/5 + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1 (c) -2\/5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2)\/(3*(-14)\/(-525)). Calculate the remainder when (-467)\/(-5) - ((-185)\/c + -7) is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3886 times 15?\nAnswer: -5.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 4 + -4)\/(-2). Which is the nearest to -2\/3? (a) 2\/7 (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-36) + 6\/27. Suppose -2*h - h = z. Solve h = n + 3*n - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-5472)*3126\/82. Let m = w + 26\/123. Find the common denominator of m and 25\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(2\/7)\/d)*d*d*d*d*d**(-8)*d*d**(2\/55)*d*d*d**(-5)*d assuming d is positive.\nAnswer: d**(-1251\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47674775*m**3 + 2779097*m - 5.\nAnswer: 286048650*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -53.\nAnswer: 52\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 + 43363692*x - 390273230\/9.\nAnswer: 2*(x - 1)*(x + 195136615)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 - 6*q - 20. Let z(f) = 26*f**2 - 12*f - 37. Let o(g) = -15*x(g) + 8*z(g). Let t(p) = p**2 + 7*p - 3. Calculate -3*o(s) - 4*t(s).\nAnswer: 2*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-6)\/(-3) - 317. Let o = 471 + n. Let b = -83 + o. Round b to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899617 is divided by 3938.\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1132362 and 18.\nAnswer: 1132362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 25. Suppose 340 - 340 = -16*j. Calculate w(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 5*l + 2. Let j(u) = 9*u**2 - 11*u - 4. Suppose -3*n + 7 = 4*y + 30, -5*n + y - 69 = 0. What is n*t(i) - 6*j(i)?\nAnswer: -2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1377) + (2 + sqrt(1377))*4)**2 + 1*(sqrt(1377)*2 + sqrt(1377))**2 + (-2 + sqrt(1377))*-3.\nAnswer: 1413*sqrt(17) + 81377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l - 32 = -4*r, -3*r = -l - 31. Let g(v) = -2*v + 5. Let u be g(-11). Calculate the greatest common divisor of r and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from zzcmhzhcmhmczimzf.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -9 - (10 + 2 - 37)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17052 - 2?\nAnswer: 17050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*201.6595\nAnswer: 100.82975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c734a29 + -3?\nAnswer: 7c734a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 215696.6l in millilitres?\nAnswer: 215696600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-2)\/4). Let t = l + 1. Is ((-235)\/20)\/(t\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (3 + (-4 - 1))) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 + 1772*b**4\/11 + 16414*b**3\/11 + 13660*b**2\/11 - 106800*b\/11 = 0. Calculate b.\nAnswer: -60\/11, -5, 0, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(175) - (sqrt(42)\/sqrt(6) + 1))**2.\nAnswer: 32*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -14\/3*p**3 + 0 + 2*p**2 + 49\/12*p**4 - 2*p. Factor c(m).\nAnswer: (7*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/3 - 9244*j**2 - 26911820*j + 620731541300\/3.\nAnswer: 4*(j - 5785)**2*(j + 4637)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 86857c (base 13) in base 16?\nAnswer: 3038aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-3)*(-6)\/(-4). Let h = -9 + f. Let y(a) = -a**3 + 12*a**2 + 15*a - 21. Let m be y(h). Solve m*t = -4*s - 10, -2*s + 2 = -2*t - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*m**3 + 6*m**3 + 2*m**3 + (-2*m + 2*m - m)*(3 + 3*m**2 - 3) + 6*m**3 + 6*m**3 - 4*m**3 to u + x*m**2 + w*m + y*m**3 and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113547.72839955 - 113512.7284. Let s = 35 - a. What is s rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(12)\/(2*sqrt(384) + sqrt(384)) - (((sqrt(288) + sqrt(288)*2)*1 + sqrt(288))**2 - (sqrt(48)\/sqrt(16))\/sqrt(6)).\nAnswer: -4608 + 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x = -25791 - 6759. Calculate the greatest common factor of 60 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 551, 1418, 2633, 4196?\nAnswer: 6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + c + 17 = 0, -2*p - 3*c - 63 = -6*p. Suppose -4*v - o + 4*o = 8, -4*v - p = -4*o. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 1070. Suppose -4*q = -3*w + 190, 4*q + c + 38 = 4*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-12) + (0 - (184\/32 + -4)). Let q(v) = -13*v**3 + 2*v - 1. Let a(w) = -14*w**3 + 2*w. Give n*a(g) + 3*q(g).\nAnswer: -11*g**3 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 12*j = 28. Suppose 5*c + 5*l - 45 = 0, -4*c = -0*l - l - 51. Suppose j*r = 8*r - c. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75393132.\nAnswer: 2, 3, 6282761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152843 * -15.1.\nAnswer: -2307929.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 47 + -1 - 4. Suppose -5*c + 300 = 3*m + 2*m, m - h = 3*c. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.262 to 0 dps.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 484*w**2 - 1092*w + 61692. Determine t(482).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270142.05 months to centuries.\nAnswer: 225.118375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 311*p + 24762. Determine x(-62).\nAnswer: 1636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 - r - 12. Give a(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 1865781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -351041 - -4?\nAnswer: -351038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 3*w**2 + 4*w. Suppose 11*y = 5*y + 24. Suppose -15*i = -y*i + 66. Let a be (i\/4)\/((-5)\/(-10)). What is o(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/13635 and 17\/54.\nAnswer: 27270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 233989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -497520 + 3980163\/8. Factor -57\/4*y + x - 180*y**3 + 96*y**2.\nAnswer: -3*(4*y - 1)**2*(30*y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -11*f + 8*f + 38, -f - x = -16. Solve f*o - 10*o = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-25 + 11 - -7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*j + 2*l, 2*j - 19 + 3 = 3*l. Suppose -5*k = j*p + 1, -4*k - 3 = 17. Calculate the remainder when 45 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 4*k**2 - 2*k - 5. Let x be y(-4). Suppose -4*r + 5 = -3*s, -36*r = -32*r + 2*s - 30. Which is the nearest to 2\/5? (a) 8 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 525 - 355. Does 34 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j)**5\/(j**5*j*j**5) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -440457 (base 8) to base 9\nAnswer: -244616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.4 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -25. Let m = n - -4. Let v be (-2)\/4*(m + 0). Sort v, 1.3, 3.\nAnswer: v, 1.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -341*k**2 - 85*k**2 + 118*k**4 - 358*k**2 - 520*k**6 + 516*k**6 wrt k.\nAnswer: -480*k**3 + 2832*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -548 - -1672\/3. Let z be 2289\/(-18)*4\/(-56). Let y = z - p. Calculate the common denominator of y and -87\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 86, 124, 160, 194?\n\"Answer: -l**2 + 43*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4266719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Solve c + 5*d - 26 = i, c = d + 3*d - 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -513, -13 in descending order.\nAnswer: 29, -13, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*1*-4. Let p be 0 - 3*v*-1. Is (p\/(-9))\/((-4)\/78) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w - w)*(-3 + 4 + 4)*(-46 - 148 + 22 - 61).\nAnswer: 2330*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30108622 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/15 - m**3\/6 + 2*m**2. Let i be a(2). What is the greatest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s + 32. Let a be u(4). Suppose 4*d = g + 349 + 234, 12 = -a*g. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 40, 43, 46, 49, 52?\n\"Answer: 3*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82600*i - 3380 + 8970 = 82078*i - 10592 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) + (244\/140 - 2). Let s(w) = -w - 3. Let z be s(0). What is the fourth biggest value in -2\/7, t, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i - 1 - 3*i - 2*i + 0*i. Let q be u(-3). Suppose 4*v - 385 = -5*w, 0*v - 147 = -q*w - 3*v. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45544127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -1\/140*k**7 + 9*k - 1\/120*k**5 + 2*k**2 + 1\/672*k**8 + 1\/80*k**6 + 0*k**4 + 0 + 0*k**3. Factor r(s).\nAnswer: s**2*(s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34911128*h**5 + h**3 - 1084*h**2 + 11797*h.\nAnswer: -2094667680*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(72) + 0 - (1 + sqrt(72)*-2))*-6)**2.\nAnswer: 62208*sqrt(2) + 378432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -d - 0*d + 6, z + 7 = 3*d. Let r(q) = -2*q - 2. Let o be r(5). Let n be 1\/(-2) - 4\/o. Is z > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z + 8. Let u be x(-9). Let r = u - -74. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74485 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2\/19, -3\/13, -3 in increasing order.\nAnswer: -3, -3\/13, -2\/19, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1626, -1685, -1750, -1821, -1898?\nAnswer: -1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -219 + 1?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 3*n + 3*n + (-4*n + 0*n + n)*(-2 - 5 + 5) + 350952 + 1229*n - 350952)*(3*n - n**3 - 3*n).\nAnswer: -1237*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + -22020221?\nAnswer: -22020031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**3 - 5*z**3 - 10*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.93 - 24. Which is greater: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, -158, 3, -4 in ascending order.\nAnswer: -158, -4, 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 13 = -15*b + 5*x, 0 = -4*b - 5*x + 7. Let t(d) = -2*d - 1. Give t(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = 171*w - 131*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1633*v + 1709. What is the units digit of b(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1743 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = -y, 0*h - 4*h = 0. Find the second derivative of 0*c + 0*c**4 - 4*c**4 - c + 0*c**y wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - -0.2. Let j be 0 + 2 + (-8)\/5. Which is the biggest value? (a) j (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 47414382 = -36*w + 14187824. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b + 270. Give k(13).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000800809898 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 15*m = 0. Solve 2*u - 16 + 10 = m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4225044 divided by -1?\nAnswer: -4225044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50236620 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {h: 1, q: 2, b: 1, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -0.4, 0.06, -1, -1422\/19 in increasing order.\nAnswer: -1422\/19, -1, -0.4, 0.06, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -7*w + 200. Let g be (w - (-2 + 4)) + 1. Solve g = -3*c + 7*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evpir. What is prob of sequence vvi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 448\/168*17\/204?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131711 is divided by 65814.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 3*x**8\/112 - x**5\/6 + 8*x**2. Find the third derivative of a(l) wrt l.\nAnswer: 540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2724537.\nAnswer: -5\/2724537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-28)*49784\/2667.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, -6, -117\/2 in decreasing order.\nAnswer: 0.1, -3, -6, -117\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/56 - (-2961)\/(-188)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1260)*-4)\/((sqrt(5) + sqrt(30)\/sqrt(6) + sqrt(5))*-5 + sqrt(5)).\nAnswer: 2 + 12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6478871*b*l*y - 14*b*l + 1428*l - 20 wrt y?\nAnswer: -6478871*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggzg when four letters picked without replacement from gvzvzzvzgvggvg.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**3 - 889044*m**2 + 65867491863*m - 131731427574 = 0. What is m?\nAnswer: 2, 148173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1013 + -1010. Suppose -10 = 2*k + 4*y, -2*k = k + y - 5. Find the second derivative of o*w**2 - 8 + k*w + 0 + 8 wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -22a72b?\nAnswer: -22a72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 887 = -649. Suppose j - 72 = 4*b. Calculate the remainder when 33 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 220 + 270. Let u be 140 + (-2)\/(-1)*-1. Let a = i + u. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u**3 - 5*u + 6. Let g(y) = 5*y**3 - 3*y + 3. Give -11*g(d) + 6*j(d).\nAnswer: -d**3 + 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6806 - 6801. Solve -3*u + 4*j = 31, -y*u = -0*j - 4*j + 41 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.184811 to 1 decimal place.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*u - 6*u - u + (-2 + 2 - 3*u)*(-2 + 7 - 2) as q*u + o and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 41*l + 252. Let v be y(-6). Suppose 0 = v*b - 10*b - 2*w + 4064, b - 1006 = 2*w. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 446.7221cm?\nAnswer: 4467221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6050 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 + a**2 - 6*a**2 + (-8*a - 27*a + 5*a)*(-a + 2*a + 0*a + (1 - 4 + 4)*(0*a + 2*a - a)) in the form y + i*a**2 + t*a and give i.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -374*g + 232. Does 50 divide k(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1331*a**5 - 2*a**4 - 1113*a**2 - a + 2. Let p(m) = m**5 + m**4 - m**2 - 1. Let q(r) = f(r) + 2*p(r). Find the third derivative of q(k) wrt k.\nAnswer: 79980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g - 40. Does 4 divide b(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**3 + 215*i**2 + 13*i + 6. Let j(t) = -10*t**3 + 322*t**2 + 18*t + 9. Give 5*j(m) - 7*x(m).\nAnswer: -m**3 + 105*m**2 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.97 - -0.03. Let q = 0.9 - f. Sort 5, q, 0.2 in increasing order.\nAnswer: q, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 2*i - 9 + 13. What are the prime factors of a(11)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6205 - -7138. Calculate the remainder when o is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 5:53 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2*y**3 - 796*h**2*y**2 + 11*h**2*y + 16038*y**3 wrt y?\nAnswer: -6*h**2 + 96228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) -0.4 (c) -0.09756 (d) 2 (e) 0.1 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22939153 and 4238?\nAnswer: 596417978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2 (c) 1 (d) 5 (e) 0.3526 (f) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l**3\/8 + 17274*l**2 + 204111*l\/8 + 6585 = 0. Calculate l.\nAnswer: -8\/7, -1\/3, 2195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(-1\/46)\/((((p**(-3)*p)\/p)\/p)\/p*p*p**(-1\/4)\/p*p) assuming p is positive.\nAnswer: p**(1175\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 5*o, -37*u + 2*o = -34*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - -53. Let u = 108 - s. Suppose -6 = -4*q + q. Solve -4*v + u = 0, 0*v = -k - q*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/7 (b) -2 (c) 0 (d) -3 (e) -12 (f) -0.644\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t - 0. Factor -y**t - 4*y - y + 4*y.\nAnswer: -y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*sqrt(1100) + 5 + 3*sqrt(1100)*2 + sqrt(1100))*-1)**2*-2.\nAnswer: -4260000 - 35200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bd6 (base 15) in base 14?\nAnswer: 22c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5002 - -199.\nAnswer: -4803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**5 - 3*l**3 + 10*l**2 + 382*l. Let j(v) = -v**5 - v**3 - v**2 + v. Let x(y) = -3*j(y) + p(y). Find the second derivative of x(w) wrt w.\nAnswer: -20*w**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25\/(-10)*8\/10 - -78.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16723, 133808, 451603, 1070464, 2090747, 3612808, 5737003?\n\"Answer: 16726*s**3 - s**2 + 6*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2 - 4 + 4 + 7*y - 3. Let u(p) = 6*p - 2. Let t(w) = -3*f(w) + 4*u(w). Let r(j) = -j + 2. Calculate 11*r(c) + 4*t(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 2*i. Suppose 0 = -29*c + 28*c + 34. Suppose -3*n = c - 61. Solve 2*u - n = -i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 732 and 21?\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3822 and 588.\nAnswer: 7644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.5908mm in centimeters?\nAnswer: 53.85908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 3)*(-23 + -4 + 11). Solve -3*o - l + 2*l + 7 = 0, 4*o + s = -5*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 13. Suppose a*j = -4*w + 2878808 + 241204, 9 = 3*w. What is j rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/45, -4, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*i + 35 = 0, -2*i - 2 = -4*j + 14. Suppose j*m = 25, -n - 2*m - 23 = -47. Calculate the highest common divisor of n and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4037 and 924?\nAnswer: 339108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-11)*n*n**(2\/11))\/(n*n**(3\/5)*n)**23)**25 assuming n is positive.\nAnswer: n**(-19145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2295704149?\nAnswer: 39727, 57787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 677685 and 5085.\nAnswer: 229735215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 1\/(3\/85) - 200\/150?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {p: 1, l: 2, t: 6, q: 2, v: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*k + 18, 4*g - 32 = g - 4*k. Which is the biggest value? (a) -0.1 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k**2 - 20*k - 36. Let o(s) = -s - 12. Let v be o(-10). Let x be n(v). What is x rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 185.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(-5 + -3*(sqrt(343)*-4 - sqrt(343))) + 5).\nAnswer: -30 + 525*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 196911 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + 2 + 5 + -1 - -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201760\/(-6499) + 60\/1340.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.394823ug in milligrams?\nAnswer: 0.007394823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1053)*2*-3 - (sqrt(1053) + -1 + sqrt(1053) + 3 - (2*sqrt(1053) + -2))) + -2)**2.\nAnswer: 864*sqrt(13) + 37972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1534522 and 32824.\nAnswer: 6138088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85291 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 15. Suppose 0 = t*r - 109 + 19. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in minutes?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -7*f**4\/24 - f**3\/3 + 35*f**2. Let i(o) = -85*o - 25. Give 2*i(m) - 25*n(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207191280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -5*f + 105, 8*w - 4*w + 2*f = 5*w - 2*f + 69 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 4) + -1 - 2158\/(-2). Suppose -p - 5*m + 254 = 0, -320 = 3*p - m - w. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**5\/5 - 11*o**4\/3 + 20*o**3 - 7967*o. Factor b(j).\nAnswer: 4*j*(j - 6)*(j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*l + 239*l + 1521*l - 21209 = 9085 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 60253 divided by -4\nAnswer: -60253\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 20 = -2*f, -j - 2*f = 3*j + 20. Let h = 1050.2 + -1050. Which is the biggest value? (a) j (b) 5\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k + 3231*k**2 - 2946*k**2 + 983*k**5 + 0*k wrt k?\nAnswer: 58980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 60. Let r be (-1)\/3 - (-119)\/(-3). Is (r\/(-24))\/((-2)\/o) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Suppose -4*w + 87 = -3*r, -j*w + r - 31 = -4*w. Let a = -61 + 88. What is the highest common divisor of a and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 less than or equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66970920 by 4464728.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -7.943?\nAnswer: -2.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 78629092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48519, 48523, 48527, 48531?\nAnswer: 48535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47803108.5 rounded to the nearest one thousand?\nAnswer: 47803000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/3 and 133\/1404.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-435)\/(210975\/(-194)))\/((-4)\/(-6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194745 is divided by 64905.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18509232 from 0.\nAnswer: -18509232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:33 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*i = -15, -15 = -4*l + 2*i - 35. Put -7, 5, 1\/8, l in decreasing order.\nAnswer: 5, 1\/8, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102976070*c**3 - 68346103*c**2 wrt c?\nAnswer: -617856420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 s, and 1 t when three letters picked without replacement from {x: 7, s: 1, t: 2, e: 2, g: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37045 and 11005.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1916 + 3814. What is the highest common divisor of 65 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 41 = -t, t + 1 = -c + 14. Suppose 2*m + 11 = m + 3*i, 4*m + 2 = -2*i. Let y = m - -7. What is the remainder when c is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 21023?\nAnswer: -21031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72568*q**5 + 168*q**4 - 8782402*q + 8 wrt q?\nAnswer: -1451360*q**3 + 2016*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a factor of 935644350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4590844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12788291 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*x + 20 = x, -k + 21 = 4*x. What is the second biggest value in -1, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n + 4*w = 4, -2*n - 3*w + 3 = 0. Suppose 12 = 3*o + o. Suppose -u = -o*u. Is n not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/2 + (-57 - -2). Let l be (-5)\/2*-1 + (-30)\/v. Solve -p = 5*j - 23, -4*p + p - 21 = -l*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2515296 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s - 9 = 0. Let c = s - -16. Let u(p) = p**3 - 2*p. Let j(a) = -6*a - 5*a + 4*a + 3*a**3. Determine c*u(w) - 2*j(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 + 4*y**2 - 2*y**2 + (0*y + y - 2*y)*(0*y - y + 0*y) + (-2*y - 2*y + 0*y)*(19*y - 10*y - 3*y).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.035 or -3837163?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 21. Let s be u(14). Calculate the greatest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2288 + -1249. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 6. Let v(s) = -1. Let j(g) = t(g) - 4*v(g). Determine j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.478198 rounded to the nearest ten?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:42 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27239.66l?\nAnswer: 27239660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32\/67 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -21*-5*3\/(-45). Let u = -1515 - -1514.8. Which is the smallest value? (a) 2 (b) -3 (c) h (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204001.3 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 37329 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 825580500 to the nearest integer?\nAnswer: 28733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.21 - 0.208.\nAnswer: -36.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -37. What is the second derivative of -j*d**4 - 16 + 69*d**4 - 2*d**4 + 6 + d wrt d?\nAnswer: 624*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4240397?\nAnswer: 7, 31, 19541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -12 (b) 1\/7 (c) -4\/29 (d) 3\/8 (e) -0.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1572 and 16680?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7392 divided by -2\nAnswer: -3696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 times -0.5?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/9 - 122*q**3\/9 - 518*q**2\/9 - 142*q\/9 + 260\/3 = 0.\nAnswer: -3, -2, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14*d**2. Let v(b) be the second derivative of -3*b**3\/2 - 20*b. What is k(v(l))?\nAnswer: -1134*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 123*s + 240*s - 125*s + s**3 + 9. Let o be m(3). Solve -y + 4*c - 1 = -14, o*c = 5*y - 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34570386 by -34570386.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243 + -44?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/3 - 3*s**2\/2 - 3*s + 296. Let t(v) = 3*v**2 - 7*v - 7. Calculate 10*k(d) - 4*t(d).\nAnswer: -2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 at least as big as 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b4 - 1671?\nAnswer: -13ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14630 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -10\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/12*(-580)\/2262)\/(-1)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7183409375 to the nearest integer?\nAnswer: 84755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 41575536.\nAnswer: 166302144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73.7 - -488.7. Let n = r - 414.999574. Round n to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2 - -1.3. Let q = y - 4. Let p = -5 + 4.7. Which is the second smallest value? (a) p (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -2\/7 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-37))\/(19288\/(-356828)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/((-576)\/(-8))*-3)\/(3\/(-156))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17571 + 17599 = -2*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m**2 + 171*m + 966. Calculate a(21).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2608 and 60?\nAnswer: 39120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 48*q**2 + 43*q + 5. Let c be m(-23). Suppose 0 = 7*j + c - 88. Let f = 0 + 2. Solve 0 = -f*s - j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/4 + 10*f - 4. What is the derivative of n(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 17. What is the units digit of (-5 - -16)*(7 + i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/3 in 4, 1, 5\/3, -112?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 47*t**3 + 24*t + 3. Let k(f) = -f**3 + 3*f + 1. Let z(g) = i(g) - 7*k(g). What is the second derivative of z(w) wrt w?\nAnswer: 324*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.6 + -5.6. Let f = a - 25.5. What is the nearest to -2 in -0.2, f, 2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:10 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Suppose -l + 6*l = 20. Let o(g) = g**2 + 0*g**2 - g**2 + l*g**2. Calculate o(c(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 232*b**3 - 3551*b**2\/2 - 3897. Find the second derivative of p(z) wrt z.\nAnswer: 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 + 20. Suppose 2*t + 20 = 5*p, -5*p + w = -4*t - 11. Put -2, 5, t in decreasing order.\nAnswer: 5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/3)*h)**1\/((h**(-5\/4)*h)\/(h\/(h**(1\/3)*h))) assuming h is positive.\nAnswer: h**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 + 27 = 0. Let a be (-6)\/((w\/9)\/5). List the prime factors of 2\/a - (-548)\/36.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 6, u: 1, f: 3, d: 6}. Give prob of sequence fu.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 8*a**2 + 2*a - 19. Let o be s(8). Let d be -3 + o*6*4\/(-20). Which is bigger: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -4 (c) 1 (d) 2\/11 (e) 4 (f) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. What is the smallest common multiple of w*(-138)\/(-48) + (-1)\/(-2) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5, -26*i + 21*i = 2*n + 199. Let h = n + 96. Which is smaller: -3\/19 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/49)\/(52\/364).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1723493*o - 5. Let v(c) = -c. Calculate v(q(u)).\nAnswer: -1723493*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 345487 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 925 + -412. Does 27 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/15*(-162)\/(-36). Solve -2*v = o*a + 20, 2 = 3*a - 2*v + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6371036 milligrams to kilograms.\nAnswer: 0.0000006371036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.373578 + -0.1.\nAnswer: -0.473578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g**2*s**3 - g**2*s**2 - g**2*s + 21957*g*s**3 - g*s**2 - 14*s**3 + 21*s**2 - 57671*s wrt s.\nAnswer: 66*g**2 + 131742*g - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*t + 772 = 7*v, 2*t = 4. Suppose x = v - 65. Let r = -32 + x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11174 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 481*b - 21911. Determine x(37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 3*l - 2, -k + 489 = -4*l + 510 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((5\/4)\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 16. Give w(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*y**3 + 11*y**2 - 5070*y - 5064*y - 21*y**2 + 10135*y to q*y**3 + t*y**2 + r + v*y and give q.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - 3 - c**3 + 11*c + 13*c - 18*c**3 - 3*c + 17*c**3 as f*c + o + q*c**3 + m*c**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*h + 94 = 0, 3*b + 161 + 173 + 175 = -4*h + 378 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3 + 0*m**2 + 9*m**2 - 7*m**2 - 8*m**3 + 1796*m - m**2 wrt m.\nAnswer: -36*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -24, -35, -48, -63, -80, -99?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 26*k**2 - 11*k - 11. Suppose 0 = 4*n - 3*n + 11. Suppose 0 = -114*s + 36*s + 96 + 60. Let o(v) = 5*v**2 - 2*v - 2. Give n*o(y) + s*h(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {e: 2, p: 1, m: 1, j: 3, n: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3170 bigger than 3169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Suppose -4*z = -u*v + 330, -2*v - 2*z + 64 = -242. Suppose -v - 8 = -3*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 1147*z + 15*z**2 - 1147*z.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + v = 3*v - 47, -3*h = 5*v - 59. Suppose 3*n - 17 = -p - n, -p - 3*n = -h. Let x(r) = r + 9. Let z be x(-6). Put 11, z, p in increasing order.\nAnswer: p, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4\/11 (c) -0.2 (d) 516 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 64 = -4*j, j + 3*h + 0*h - 24 = 0. Let v(x) = x**2 + x + 4. Calculate the remainder when v(5) is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/27898 and 77\/16.\nAnswer: 223184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - n = -220, 6 - 2 = n. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13901 + 17670. What are the prime factors of g?\nAnswer: 131, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015467749 rounded to four decimal places?\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 65, 69?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(19*a**4 - 17*a**3 + 17*a**3) - a**4 + a - a.\nAnswer: -39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3296)\/356 + 12 + -2*1. Are 1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2721\/270 - (33 - 23). What is the closest to -0.1 in m, -1\/2, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25554625, 51109257, 76663889, 102218521?\n\"Answer: 25554632*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341594610 - -341594663.9999946. Let t = 59.9 + -5.9. Let w = j - t. Round w to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:44 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73.9 * -8.\nAnswer: 591.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 37*n + 1320 = 5*i, n - 319 = -4*i. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.94?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -122*d - 297 wrt d?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 22*t**3 + 12*t**3 - 53*t**3 in the form n + w*t**2 + m*t**3 + y*t and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22\/11*7\/(-49)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(25\/(-5) + -4). Suppose 0 = -56*w + 53*w + p. Solve -w*y = -y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o - 8 + 4 - 91*o**3 + 21*o**3. What are the prime factors of p(-1)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170085751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Let c be ((-8)\/12*2\/(-12))\/((-16)\/(-24)). What is the second biggest value in i, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*c - 30 = 0, 5*b - 38 = 5*c + 57. Let s = b - 12. Let d = 266 - 268. Sort d, s, -0.4.\nAnswer: d, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460 a factor of 10933283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -195213*k - 585625. Give q(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 6*w + 4. Let l be d(-8). Let b be 7\/2 + 6\/l. Suppose m + b*m = 0. Solve m*j - 2 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (-1 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 39340.5831 minutes?\nAnswer: 3.902835625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 + 10?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**3 - 3*p - 2. Let t(j) = 13*j**3 - 9*j - 7. Give -7*s(w) + 2*t(w).\nAnswer: -2*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 27*a. Let w(g) be the third derivative of -5*g**4\/24 + 5*g**3\/6 - 1171*g**2. Calculate w(c(k)).\nAnswer: -135*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 75011.\nAnswer: -2\/75011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.466 + -0.466. Put 1, r, -0.3, -30 in decreasing order.\nAnswer: r, 1, -0.3, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2, -12 in decreasing order.\nAnswer: 2, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -1\/154 (b) 6 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 11*f - 10*f + 3*u, 5*f = -2*u + 1125. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 33*h + 868 = 0. Suppose 5*w + 3*s = s + 1109, 2*s + h = w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a - 1 + 5*a**2 + 0*a**2 - 4*a**2. Suppose 49*t - 1399 = 44514. Suppose -t*u + 943*u = -30. Determine x(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o - 3. Calculate the remainder when 21 is divided by t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/30100 and -86\/345.\nAnswer: 2076900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 39. Let z be 144\/m + -4*1. Suppose z*s = -3*l + 8*l + 4, 5*l - 2 = 3*s. Solve -2*i = -5*i + s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*d + 11405 - 719. What are the prime factors of d?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-6)\/648*6*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 473962.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 608266990 from -0.109.\nAnswer: -608266990.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 3053?\nAnswer: 24424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -u + 223. Suppose 5*h - u = 799. Suppose -5*q = -l - 38 + h, -3*q = -l + 154. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 10*b + 38 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 138495*f**2 + 1384725*f - 3461625.\nAnswer: 3*(f - 46155)*(f - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 728, 273, -182?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-8)*w)**(-2\/51)\/(w*w**(2\/7)*w*w**(5\/4)\/w*w) assuming w is positive.\nAnswer: w**(-1571\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11585463 to 3 dps.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 12 = 5*y, 7*y - 2*y + 6 = -4*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 51*w - 68*w + 2*w**4 + 130*w**2 - 48*w + 165*w - 3*w**3 in the form y + b*w**2 + o*w + d*w**3 + r*w**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 117944.076 rounded to the nearest one hundred?\nAnswer: 117900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:59 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 1850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 113 = -h + 37, -5*h = -a - 750. Solve -h*q = -153*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*(-1 + 1))\/1. Suppose -g + 0*g + 18 = m. Let u be 4\/(-14) - g\/(-14). Which is smaller: -2\/5 or u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 3871.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18612 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 0 + 12 = 4*b, 0 = 3*b + 2*p + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5 - 3927*v**4 - 19678*v**3 + 70648*v**2 + 503136*v + 629120 = 0?\nAnswer: -4, -2, 5, 3932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 227793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/11)\/(q*q*q**(5\/7))*q**(2\/11)\/((q*q*(q*(q*q**(-1)*q)\/q*q)\/q)\/q) assuming q is positive.\nAnswer: q**(-321\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168087527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 290, -881, -2052, -3223, -4394?\n\"Answer: -1171*o + 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -13. Let x(k) = 2*k**2 - 8*k + 3. Is 9 a factor of x(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 23*t - 12. Let o be m(22). Solve -r - o = 4*r, 0 = -4*i - 2*r + 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 135\/(-110) + -2 + 0 and -11\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -20*t - 1813. Calculate the common denominator of 33\/470 and v(-89).\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -19. Let v(x) be the first derivative of x**4\/4 - 7*x**3\/3 + 5*x**2\/2 + 6*x - 5. Calculate v(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s - s)*(-35*s**2 - 40*s**2 + 4*s + 68*s**2 - 5).\nAnswer: 14*s**3 - 8*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 44*k**3 - 24*k**2 - 7*k. Let f(n) = -4*n**2 - n. Calculate -6*f(c) + t(c).\nAnswer: 44*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 120*y - 4863. Let o be v(32). Let z = -0.2 + 0.3. Let d = 1.6 + -2. What is the nearest to z in d, o, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7) + sqrt(7) + (sqrt(175) + 0 - sqrt(175)) + sqrt(28) + -2)**2.\nAnswer: -20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(1\/10)\/((-3)\/5)*0. Let n(o) be the third derivative of 0 - 1\/10*o**5 - 3*o**3 + t*o**4 + 0*o + o**2. Differentiate n(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 392999288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3472769*c*t*x - 21*c*x - 2*t*x + 2*x + 6533 wrt t?\nAnswer: -3472769*c*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 41*y - 8*y + (-6 + 3 + 2)*(-2*y + 2 - 2).\nAnswer: 31*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 581\/(-1400) + 46\/8050*7.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 90*d + 280.\nAnswer: 5*(d + 4)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 56 = 12*p - 4*j, 3*j + 42 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1527 - -9.5173. Let k = 8.67 - z. What is the biggest value in 4, 1, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x\/x**27*x))\/x)\/x*x*x*x**(-14\/5)*(x**37*x)\/x**(-1\/9))**(-1\/6) assuming x is positive.\nAnswer: x**(-1402\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(324)*-1 - sqrt(324)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*o + 2*h, 2*o - o - 2*h = 0. Suppose -4*p = 4*q, q + 0*p = o*p + 25. Let z = -2.2 + 2. What is the third smallest value in z, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 705 + 693 = -4*k, -k = -5*p - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4 - 2 - 4*o + 6. Let q be y(4). Let c = q + 23. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 i when four letters picked without replacement from iieabqeieibiqbqi?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*n. Let x = 854 + -854. Suppose x = c + 4*b - 5220, -5*c - 2*b + 26010 = -n*b. Round c to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)\/l**7)\/(l*(l*((l\/(l*l**1*l*l))\/l)\/l*l)\/l*l)**5*(l*l*l**(-3\/4)*l*l*l**(2\/5))\/(l**(-2\/17)*l*l**8) assuming l is positive.\nAnswer: l**(-7511\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 28*v + 178. List the prime factors of t(12).\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from annionnanin. What is prob of picking 1 i and 2 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/144 and 13\/4581270.\nAnswer: 36650160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2560830 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033316973 rounded to 7 dps?\nAnswer: 0.0003332","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) -1 (c) -0.2 (d) -7\/5 (e) -2\/141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -353*b**2\/2 + 161*b + 53. What is the derivative of l(x) wrt x?\nAnswer: -353","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198.3 - -189. Let s = m + 0.3. Let r = s + 7. What is the third smallest value in 2\/9, r, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2 and ((-9)\/270)\/((-2)\/69).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314215.7 millennia to centuries.\nAnswer: 3142157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**2 + 3. Let l(b) = -1. Let u = -215 - -363. Let z = u - 147. Calculate z*t(w) + 3*l(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5163d (base 14) to base 16.\nAnswer: 2fdd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13241 and 2.\nAnswer: 26482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = s - 479, 3*t = 3*s + 135 + 228. Let v = 122 - t. What is the units digit of (-2 - v) + (22 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x + 1 - 5 - 6*x - 3*x. Let g(s) = -s. Let v(q) = -2*q**2 + q + 2. Let z be v(2). Let p(y) = z*g(y) + a(y). Find the first derivative of p(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*d**2\/2 - 10131*d\/2 - 756 = 0 for d.\nAnswer: -7\/47, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58040*1.57.\nAnswer: -91122.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + (-28 + -5 - -25) + -24.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01363247201 rounded to 5 decimal places?\nAnswer: 0.01363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 21 - 16. What is the common denominator of -31\/24 and (n\/(-72))\/((-2)\/(-484))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16680878 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 148.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 s, and 1 m when four letters picked without replacement from {r: 2, m: 1, s: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnhtthfgt. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 906739 - 906738.49999975. Let t = l - 0.5. Round t to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166800\/7 + 23829. What is the closest to 36 in k, -1\/4, 1, -0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*x + 2. Let m be ((-4)\/(-6))\/(2\/x). Let s be ((-15)\/9)\/(m\/(-3)). Is -5 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/415?\nAnswer: 3\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156*o**6 + 252*o**2.\nAnswer: -18720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*q - 8740422 + 28082 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 96305 = -18305. Round u to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - 2*r**3)*(574 - 298 - 17*r - 288).\nAnswer: -34*r**4 - 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 35*o - 103 + 442 - 33*o to the form v*o + s and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let s = 0.15719 - -133.85281. Let z = s - 134. Sort z, 2, k in ascending order.\nAnswer: z, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = 2*u, 3*x + 3*u - 6 = 2*u. Suppose 0 = 3*w - 51*o + 50*o - 91, x*w + 2*o = 74. What is the highest common factor of w and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 0.1579.\nAnswer: 1.1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -47*t**2 + 9*t + 99. Let u(g) = -70*g**2 + 14*g + 148. Suppose -7*k + 35 + 21 = 0. Let z(m) = k*f(m) - 5*u(m). What is the derivative of z(n) wrt n?\nAnswer: -52*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 12:40 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*((-47898)\/360 - (-10)\/8). Solve 0 = u*w - 1975*w + 12 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8528021969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15\/(18\/(-153)*3\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 7 = t. Calculate the lowest common multiple of t and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) 2\/13 (c) -12 (d) -75 (e) -3 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-5))\/((-23)\/115). Let n(g) = -5*g**3 - 10*g**2 - 22*g + 15. What is the tens digit of n(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/(-20))\/(-3) + (-3)\/15. Let v = -2 + 4. Factor f*c + 1\/2 - 1\/4*c**v.\nAnswer: -(c - 2)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 28 = -11*n. Let a(w) = 2*w**2 - 2. Let j(i) = 3*i**2 - 2. Calculate n*j(t) + 5*a(t).\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 15497*p**2 + 443*p**4 - 15497*p**2)*(2*p - 3*p + 0*p).\nAnswer: -443*p**5 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115984752 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9776584*r**6 - 2*r**3 + 10253495*r**2 + 2 wrt r.\nAnswer: 1173190080*r**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94653119 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2 + 1776*o - 783783 = 0.\nAnswer: 819, 957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -12*r + 1136 - 914, -r - 4*f = -38 + 334 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 76 = b + 9, 365 = 5*b - 5*a. Calculate the remainder when b is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182788 a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133*l**6 - 32*l**4 - 23*l**4 + 2*l**5 - 16*l**2 + 12*l**3 + 55*l**4 - 1 + 33*l**2 wrt l?\nAnswer: 15960*l**3 + 120*l**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**3 + 1061*p**2 - 1061*p**2.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 5*w**8\/24 + w**7\/105 - 39*w**5\/5 - 448*w**2. What is the third derivative of f(g) wrt g?\nAnswer: 4200*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 + 7 - 0 - (-631 + 661)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*s + 9122 = -9266 + 3402 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 13 (c) 3 (d) -85\/7 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - k = 7, 0 = -3*f - 5*k - 12. Calculate the lowest common multiple of 6 and f*(-2 + (-6)\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 - 7*v. Give m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835064 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, m: 4, x: 5, e: 4}. Give prob of picking 1 x, 1 m, and 2 e.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(475) - (sqrt(475) + sqrt(475)*-3)*-5) + sqrt(475) + (-1*sqrt(475))**2 + 0 + -2 + -4.\nAnswer: -40*sqrt(19) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 273714620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97235\/277 or 352?\nAnswer: 97235\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050 and 4095?\nAnswer: 40950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/5*10)\/((-1)\/2). What is the smallest value in -6, i, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 264286.\nAnswer: -27\/132143","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in -1\/7, 3, -48?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 3*q + 392. Let c = 105 - q. Let y = 0 - -13. Calculate the remainder when c is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(sqrt(1216) + -2 + 2*sqrt(19)*-4)*-6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srms when four letters picked without replacement from {s: 2, m: 1, u: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20104 - 2?\nAnswer: 20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from nknskknnynkknypyps?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 17464090*a. Let n(g) = -2*g. Give j(n(l)).\nAnswer: -34928180*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 18 + 14*w to the form h*w + l and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25197?\nAnswer: 3, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15461 = 2*z - 0*d + 3*d, -z + 7717 = -3*d. Is z\/12*(1 + (-5)\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 4503 - 4447. Solve -2*p - 4*c + 4 = 0, -4*c = w*p - 0*c - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.5 - 10. Let w = v + -0.59. Let o = 0.21 - w. Which is the second smallest value? (a) o (b) 2\/19 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -693 - -751. Calculate the remainder when 5675 is divided by l.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/4, -0.8, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 15 = -8*o. Let d(r) = 22*r - 2. Let p be d(o). Let b = -15 + p. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/1 + 81 + -105.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1645 - 996 + 1014)*(3*s**3 - s**3 + 0*s**3).\nAnswer: -3254*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**2 - d + 6. Let w be r(-6). What is the greatest common factor of w and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:44 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36155 divided by -11.\nAnswer: -36155\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/(-22*3\/30)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25470 - -27150. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/696 and -139\/11832.\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.999 - -4. Let w = f - 0.00154. What is w rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 9) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 66 = 3*z - 229, 5*h - 4*z - 910 = 0. What is the highest common divisor of 89 and h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.3 and 230646.\nAnswer: 230644.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 6. Suppose m = -2*s - 2*s + 17, -3*s + 3*m = 6. Suppose -4*j + 11 = s. Is z less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1609.9 - 1619.9. What is the nearest to y in 3, 1, -25.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/376 and 75\/352.\nAnswer: 16544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-14)\/(-1)*2 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2163, 2131, 2099?\n\"Answer: -32*w + 2195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (24 - (-18 - (-9 + -4 - 11)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/126377 and -43\/6218?\nAnswer: 785812186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -16, -4\/5, -1\/3, 0.317 in decreasing order.\nAnswer: 1, 0.317, -1\/3, -4\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 16 = -47. Solve 2*n + 10 = -3*p, 3*n + r + 6 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18255, 36518, 54781?\n\"Answer: 18263*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(150\/(-20)))\/((27\/234)\/(3\/(-8))).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or 62764\/21?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037515?\nAnswer: 5, 59, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 90 = -0*a. Let j = -14 + a. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*w + 29517 - 727, -4*q = w - 28798. Suppose q = 7*d - 899. What are the prime factors of d?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 128744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*x + 4*s + 17, 3*s = -3*x - 18. Let w = 119\/2 - 60. What is the nearest to x in w, -0.6, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179920604 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-3)\/b))\/(b\/(b\/(b**(-4\/7)\/b*b))))\/(b**(-4)\/b*b*b*b**(2\/11))*((b*b**(-3))\/(b\/b**(-3)))**(-45) assuming b is positive.\nAnswer: b**(21436\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*u + 6*u. Let q be (u\/(-27)*1)\/1. Let p = 1.35 - 3.35. Which is the closest to p? (a) 1\/4 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4\/5 + 2*a**3 - 8*a**2\/5 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -113, 60 in increasing order.\nAnswer: -113, -3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 15810795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 120*o**2 - 18*o - 2153. Determine u(-120).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76727.52 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 0*h**2 + 4*h**2)*(-6*h**3 - h**2 + h**2) + (-2*h**2 + 2*h**2 + h**4)*(132 + 98*h - 132) + 3 - 3 - h**5.\nAnswer: 91*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 4, u: 5, t: 6, i: 4}. Give prob of sequence ie.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1353 + 5467\/4. Let h = -119\/4 - q. What is the common denominator of (-135)\/(-66) + 2*1 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6042, -24217, -54516, -96945, -151510, -218217, -297072?\nAnswer: -388081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15511932509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -2*r, 2*d = 5*r + 7 - 3. Solve g + 3*k = -2*k - 8, -d*g + 8 = -2*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1465, -5905, -13301, -23659, -36985?\nAnswer: -53285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*j**3 + 46*j**3 + 44*j**3.\nAnswer: 209*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - -0.07. Let h = -0.059988 + u. What is h rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182573962.2 rounded to the nearest 100000?\nAnswer: 182600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 2*g**2 - g**2)*(-g + g - g**2)*(2*g + 0*g - 6*g) - 1299*g**4 + 1299*g**4 - 2*g**2 + 22*g**5.\nAnswer: 10*g**5 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-8\/5))*d)**(-2)\/(d*d*d**12*d*d\/d**(10\/3)) assuming d is positive.\nAnswer: d**(-268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261608 = -177*s + 11680. What is the greatest common factor of 16 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -6 + 1 + (8 - 23).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * 0.041\nAnswer: -0.0615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -441*b**5*s - 3*b**5 + b**2*s - 181*s wrt b.\nAnswer: -26460*b**2*s - 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1669, -1665, -1659, -1651?\n\"Answer: o**2 + o - 1671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 2. Let s(x) = -x - 7. Let r be s(-12). Suppose 1 - 11 = -r*m. Suppose -5*f + 3*p + 5 = 4*p, -5*p = -m*f + 2. Determine o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3 + 16707*w**2 + 602424*w + 5424732 = 0.\nAnswer: -18, 16743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12204719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 2. Let f be n(5). Let d be f*(0 + 2 - 3). Let g = -9118 + 9123. Which is the third biggest value? (a) d (b) g (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*h**4 - 12*h**4 - 3*h**4 + (-2*h**3 + 0*h**3 + h**3)*(2*h + h - 2*h).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - x - 16 = 3*w, w + 2*x - 3 = 0. Let k = 6 + w. Let q(r) = -r**3 - r**2 - r + 1. Let i(o) = o**3 - o**2 - o + 1. Calculate k*q(h) + i(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -5201458.1?\nAnswer: -1560437.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0*g + g + 0*g. Let j(i) = -2*i. Let f = -41 - -67. Suppose -f = -6*h + 4. Calculate h*d(y) + 3*j(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1136)\/(-60) + 2*(-7)\/(-210)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 = -g, 0 = z + 90*g - 86*g + 2. Solve 54*f - 4*h + 3 = 55*f, h = -z*f - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, 729, 2629, 6311, 12363, 21373, 33929, 50619?\n\"Answer: 98*v**3 + 9*v**2 - 7*v - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847901493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 9*r + 1. Let n be u(-10). Let z(k) = n*k - 8*k - 2*k. Determine z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 9, 47680.\nAnswer: 9, 86, 47680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 57 = -2*y - 42, 0*x + 4*y - 51 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 12. Suppose u*z + 83 = 12*z. Suppose z + 157 = 4*a. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 260, 391, 522?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 24*c**2 + c. Let s(p) = -5*p - 6. Let h(f) = 6*f + 8. Let b(u) = -3*h(u) - 4*s(u). Calculate x(b(r)).\nAnswer: 96*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + -0.1. Let j = -0.3 + 0.4. Is h equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -337 - -378. Calculate the greatest common factor of k and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27379.54 years?\nAnswer: 273.7954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12*t**2 - 449*t - 448. What is b(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from vddpggdgddvcggggvgd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -37, -48, -77, -130, -213, -332, -493?\n\"Answer: -x**3 + 8*x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25675854*p**3 + 27*p - 278617?\nAnswer: 154055124*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 831366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 12. Let y be u(11). Let a be (8\/(-2) - y) + (-10)\/(-3). Suppose -a*p**2 - 2\/3*p + 0 = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -18. Suppose -p - 2*p = -n*p. Suppose -4*o + 4*s + 504 = p, o - s = s + 126. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 38300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.2 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318596 or -318589?\nAnswer: -318596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**3 + 4*z + 3. Let f(s) be the first derivative of 0*s**3 + 4*s + 5\/2*s**2 + 3 - 3\/2*s**4. Determine 4*d(i) - 3*f(i).\nAnswer: -2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 - 2732*k - 140352 = 0.\nAnswer: -48, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*w**2 + 112*w - 112*w + 43*w**2 + w**4 + 7*w**3 wrt w.\nAnswer: 24*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301297222 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*x**3*y**2 + 4*x**3 - 12541*x*y**4 + 36713 wrt y?\nAnswer: -74*x**3*y - 50164*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(3)*2)\/(-6*sqrt(112)).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312147 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 139 = -0*g + 2*g, 0 = 2*g - t - 109. What are the prime factors of 6365\/g - 1\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h + 378 = 10*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2846, 2853, 2860, 2867?\nAnswer: 2874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100333 + 10113?\nAnswer: -30220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 20*t**2 + 25*t.\nAnswer: -5*t*(t - 5)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/12 - 3*g**3\/2 + 25*g**2\/2 - g. Let t be m(8). Solve 2*a + t = -2*a + p, 3*p - 12 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.8 + -5.4. What is the second biggest value in 1\/3, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-4\/7)*(z\/z**(-6\/7))\/z*z*(z**4)**(-1\/3) assuming z is positive.\nAnswer: z**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 - 2 + 2 + (-2*x**2 - x**2 + 0*x**2)*(-3 + 7 + 5 - x).\nAnswer: x**3 - 27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b**3 - 9*b**2 + 4*b + 9. Let y(j) = -2*j**3 - 2*j**2 + j + 2. Give 2*a(q) - 9*y(q).\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189789587?\nAnswer: 13, 14599199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/11 (b) -4 (c) -0.2 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 51590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -23, -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = 2*u - 5*l, -u - 5*l - 7 = 0. Suppose -u + 5 = p. Suppose 0 = -p*i + 4*s + 118, 0 = -4*i - s + 159 + 50. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 17. Let a(j) be the second derivative of -j**2\/2 - 108*j - 3. Give -3*a(q) + i(q).\nAnswer: -2*q + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -414, -649, -904, -1179?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**2 - 13*a. Let c(d) be the second derivative of 13*d**3\/6 - 3591*d. Give c(i(l)).\nAnswer: -78*l**2 - 169*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2565 or -2529?\nAnswer: -2529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 8*w**2 + 4. Let p be h(-8). Suppose y - 20 - p = 0. 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: Let k(z) be the first derivative of -1 - 4*z**3 - 3*z**3 + 6*z**3 - 3. Factor k(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1305.91 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 20*g - 8. Let b(k) = -4*k + 2. Let q(t) = 28*b(t) + 6*w(t). Differentiate q(a) with respect to a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-85) - (-122)\/(-5). Let b be 4*-6*3\/z. Find the third derivative of -31*k**b + 5*k**3 + k**2 + 33*k**2 wrt k.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2374*r + 36 - 60 - 24692*r.\nAnswer: -27066*r - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4*j + f**4 + 487*f**3*j + f**3 - 18*f**2*j - 2*j + 265 wrt f.\nAnswer: 24*f*j + 24*f + 2922*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173 - 169. Suppose 0 = -d*m, -8*h + 3*h = -m - 1410. Calculate the highest common factor of h and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 4*j - 36 = -27*r, -2*j - 24 = 3*r. Put 9, 4, r, -3 in decreasing order.\nAnswer: 9, 4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 f when three letters picked without replacement from {w: 3, m: 4, k: 1, x: 3, f: 3, j: 1}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2020021212112?\nAnswer: 2020021212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -o + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 90 = -4*o - 45, 2*x = -2*o - x - 49 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 12 = 24*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -175*o + 2. Let y(h) = -47*h**2. What is y(v(u))?\nAnswer: -1439375*u**2 + 32900*u - 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbkmbeekxbk. What is prob of picking 1 b and 1 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}