diff --git "a/data/dm_maths/full_data/1040_11255.jsonl" "b/data/dm_maths/full_data/1040_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1040_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let p(r) = 22*r - 266. Calculate p(14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1746*q**2. Let g(o) = -86*o - 79*o - 83*o + 246*o. What is g(w(f))?\nAnswer: 3492*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11854.990237 - -11855. Round l to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1026 and -12956.6?\nAnswer: 13982.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = w + n, 0 = -3*w - 3*n - 3. Let p = 3 - w. What is the units digit of 3\/(-4)*(p + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26466 and 3162786?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/72 and 6*1\/18 - (-137)\/(-24).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + o**2 + 5. Let q be n(0). Suppose 2*w - 2*t - 34 = 3*t, q*w + 3*t = 23. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207168111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/1 - -80) + -3 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 40. What is the closest to -1\/4 in i, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-1)\/8 - 638\/(-176)). Let l be 1*3\/(-18)*3. Suppose 5*f + 6 = -b - 4, 0 = 2*f + 4*b + 4. What is the fourth smallest value in l, 0.5, m, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + f**2 + f**2 + (2*f - 7*f + 3*f)*(0*f + 0*f - 2*f) + 4 + 64 + 3*f - 7*f**2 + 6*f**2 to the form s*f**2 + t*f + d and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50553910.42 rounded to the nearest ten thousand?\nAnswer: 50550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1210) - sqrt(10))\/(sqrt(160)\/sqrt(5)).\nAnswer: 21*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {v: 8, i: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4*g**2 + g**2 + 18*g**2 - 10 + g - 6*g**2 to the form c*g + h + r*g**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 7*l - 17 = 3*l, -4*m = 3*l - 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 59 + -4 + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(810)*-2))\/(6*sqrt(8)\/sqrt(2) + sqrt(20)\/(sqrt(20)\/sqrt(4))).\nAnswer: -sqrt(5)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r + 3. Let o(v) = -4 - 13*v + 5*v - 7 + 3. Calculate 11*d(p) + 4*o(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 839.146 to the nearest integer.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (165\/57 - 3)*1. Let q = 5\/38 + -1\/38. Let s = -10874\/5 + 2174. Which is the fourth smallest value? (a) 0.5 (b) l (c) s (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:09 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iikakhuiruk. What is prob of sequence hi?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 14 = -3*i - j, -4*i - 3*j + 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 28 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*s = 95, -3*j = 86837*s - 86853*s - 67 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13749321\/23, 1, 0.5?\nAnswer: 13749321\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 14.1. Let c = 4.8 - v. Let n = -2 + c. Which is greater: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2134236 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61174, 244464, 549862, 977368, 1526982, 2198704, 2992534?\nAnswer: 3908472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 25 = -3*d - h, -d + h = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570665537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 10*g**2 + 12*g - 28. Let j be n(-8). Suppose -4*t = 2*p - 44, -t + p - 2*p + 10 = 0. Sort j, t, 3 in decreasing order.\nAnswer: t, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 2. Let t be i(-2). Suppose -t*m = -4 - 0. Suppose 3*v = -m*v + 830. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -588960 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2511104*x + 2511107*x - 7533300*x + 2511100*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226 - -228. Which is the closest to -2? (a) i (b) 17 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r - 3*t - 14 = 0, -4*t = 2*r + 4. Solve -484 - 57*m - 21*m - 4*m**r - 10*m = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 813, -4, -2\/277?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 13*n**2 - 6*n + 28. Give j(-12).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3560, 21, 4, -2 in descending order.\nAnswer: 3560, 21, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 27*j**3 + 16311*j**2 + 1791*j - 12684. What is w(-604)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Let n(f) = -f - 1. Let b(l) = 4*l + 4. Let t(v) = -2*b(v) - 7*n(v). Give t(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150102 is divided by 1911.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Let n(x) be the third derivative of 0*x**5 + 0 - 1\/4*x**4 - 3*x**2 + 0*x**p + 1\/30*x**6 + 0*x. What is the second derivative of n(v) wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001110100111000110101 (base 2) to base 14\nAnswer: -899033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089 divided by -9?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -1, 902, 1, -9, -4 in decreasing order.\nAnswer: 902, 37, 1, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, 557, 821, 1095, 1379?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42200 and 2779925.\nAnswer: 22239400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 13797762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*v - 13 + 1, -4*v = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*m = r - 6, -4*m = -r - 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -15.6. Sort n, -0.3, -2.\nAnswer: -2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2. Let m(j) be the third derivative of -j**6\/180 + j**3\/3 - 4*j**2. Let a(k) be the first derivative of m(k). Give a(r(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 825149941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.13 + 0.13. Let d = -3.6 + -0.4. Let x = 1566 - 1566. Sort x, d, k in increasing order.\nAnswer: k, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 - 2*o**5 + 5*o**5 - 3*o + 3*o - 2*o**5 + (4*o - o - 2*o)*(o**4 - 3*o**4 + 0*o**4) - 5*o + 5*o - 2*o**5 + (9514*o**5 - 258653 + 258653)*(3 - 2 + 2).\nAnswer: 28538*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11488387*l**3 + 1473030*l?\nAnswer: 68930322*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*n + 79. Calculate the highest common divisor of 38 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1800 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*n - 13, 21*h + 2 = 20*h + 5*n. Suppose -4*k + f = -51, h*k + f = 4*k - 12. Solve 5*i - 7 - k = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.29 + 88.71. Let h = m + -95. What is the fourth smallest value in 1\/6, -5, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*n + 40, 0 = 4*o - 0*n - 2*n + 28. Let s = o + 11. Solve 2*p - s + 0 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/49 or -6\/11?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -19. Suppose -8*o + 84 = s*o. Suppose -8*w + 10*w + o = 0. Let v(t) = -2*t + 2. Give v(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -103224*d**4 + 1463860*d**3 - 262128*d**2 - 112*d = 0.\nAnswer: -1\/2346, 0, 2\/11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let q(n) = 3*n + 5 + 15*n - 3*n. Let b = 19 - 14. Let x(v) = -16*v - 4. Let g(a) = b*x(a) + 4*q(a). What is g(s(w))?\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -261 + 127. Let w = 3 + 9. Find the common denominator of 83\/6 and j\/w + 3 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55976 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/135 and -44\/405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 743534 and 1960226?\nAnswer: 21562486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - s + 42 = 0. Let l be 51\/(-2)*4\/s. List the prime factors of l\/(-34) - (-89)\/2.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*h - 207 = 0, 5*u - 3*h - 546 = -h. Let o be -2 - (-2 - 1) - -1. Calculate the remainder when u is divided by 46\/4 + o\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0562 and 0.11.\nAnswer: -0.006182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12259 - 1099. Let s = 29860 - x. What is s rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 2074841.\nAnswer: -58\/2074841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9*6\/2)\/((-858)\/234).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1374*q**3\/5 + 13094244*q**2\/5 + 6239441574*q + 108985080.\nAnswer: 6*(q + 4765)**2*(229*q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*x**3 + 225*x**3 + 62*x**3 - 137*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3192*z + 28. Let f be p(3). Let g(c) = 9604 - f - 65*c**2. Let n(x) = 2*x**2. Give g(n(h)).\nAnswer: -260*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(245) + sqrt(5))**2 - (sqrt(5) - (sqrt(5) + (3 + sqrt(245))**2)).\nAnswer: 122*sqrt(5) + 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 2*y**2 - 35 - 31 - 7*y + 11.\nAnswer: -2*y**2 - 7*y - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 79 (c) 3 (d) -7167 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 840*d**4*o**2 - d**4*o + 369*o**2 + 2*o wrt d?\nAnswer: 3360*d**3*o**2 - 4*d**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2\/3, -5, 2 in increasing order.\nAnswer: -13, -5, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26 + 2)*9\/(-4). Solve b - b - 39*b**5 - 33*b**4 + i*b**5 + 21*b**3 - 3*b**2 = 0 for b.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 + 123\/(-7) + 453\/378*4. Factor 2\/9*c**2 + p*c + 392\/9.\nAnswer: 2*(c + 14)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = 3*s, -2*s = 3*u - 7*u + 54. Let d = -58 - -135. What is the greatest common divisor of u and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 11*p - 27. Does 21 divide o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*b - 7, 5*b - 4485 = -5*f. Suppose h - 4*h - 1746 = 0. Let c = f + h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.86575477 to 3 decimal places.\nAnswer: -1.866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1314 (b) -0.5 (c) -0.27404\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 5. Let f be i(-4). Let h = f + -3. Suppose -4*o - 2*c - h + 48 = 0, -4*o + 4*c + 20 = 0. What is the highest common divisor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**3 - 1 + 1 - 2*v**2)*(3 - 3 - v + 12*v + 40*v + 18*v + (0 + 1 + 0)*(3*v + 2*v - 7*v)) as u*v**2 + k*v**4 + y + r*v**3 + j*v and give r.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d + 7*d**2 + 2*d + 6*d as p*d + t*d**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 286 = 6*l + 2*z, z = -l + 129. Solve -24 = 20*j + l for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, x: 1}. What is prob of sequence ggg?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 29*c - 4*c. Which is greater: 349 or c?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 0*i - 2*i**2)*(1380*i**2 - 2752*i**2 + 1371*i**2 - 10) in the form b*i**4 + k*i**3 + s*i + r + z*i**2 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -37. Solve 0*u - 2*u - 8 = f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 3166211.\nAnswer: 3166207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 42156*p\/5 - 1347968\/5.\nAnswer: -(p - 42124)*(p - 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299847*t**3 + 3 + 0 + 1299858*t**3.\nAnswer: 11*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 5*o**2 - 3*o + 1. Let u be l(3). Let p be 335\/4 - 3\/(-12). Let w be ((-10)\/6)\/((-4)\/p). Solve -u = -5*a - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-495)\/6)\/33*(-32)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/11920 and -15\/33376?\nAnswer: 166880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2714*n - 40680. What is m(15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/3 + (-408)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) 2\/41 (c) -5 (d) 2\/3 (e) 26 (f) -222\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/31, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 21*l**2 + 20*l + 9. Calculate c(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*n - 0*l + 2*l, 4*l + 8 = 4*n. Let d = 1184185\/4 - 296046. Which is the nearest to d? (a) n (b) 2\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 - 20*x**3 + 408*x**2 + 720*x - 9504.\nAnswer: -4*(x - 6)**2*(x + 6)*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322890 = -5*t + 2*q, 31*t + q = 33*t - 129157. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9683 - 13762 + 13394 = -899*l + 12424 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1165*v**2 - 4*v - 1. Let f be s(-1). Let g = f - 719. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*n + 158 = -135 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9236 - 9234. Solve -5 = n - s*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.411 + -5.\nAnswer: -14.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 15 = -5*x, -h + 7 = 2*x. Suppose -3*p = -2*p - 1. Let a be (8\/(-28))\/(p\/(-7)). Solve -2*o - 7 = t, -x*t - 18 = -a*t - 2*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c**3 - 2*c**2 - 2*c. Let t(q) = q**2 + q. What is -2*g(f) - 4*t(f)?\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 0*h**2 + 0*h**2)*(8*h - h + 5*h) - 2*h**4 + h**4 + 0*h**4 - 3*h**3 - h**4 + 3*h**3 + (1 - 1 - h)*(2*h**3 - 2*h + 2*h).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 11*i**2 - i - 82. Let d be u(10). Let a be 8\/6*3*-1. Let l be a\/(-2) + 3\/1. Solve 0 = -n + l*n - d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l + 1. Calculate b(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*l**2 + 15*l**2 - 12*l**6 + 23*l**2 wrt l?\nAnswer: -1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1231 + 1221.13. Let a = 10.07 + z. What is the nearest to -1 in -3, a, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/6, -10\/37, 0.2, 1, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a factor of 45716212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -374 + 325. Which is smaller: k or -48?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21)*-5)\/(30\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 + -11. Is (7 - 7) + 2*q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 + 8*d + 19. Let z(n) = n**2 + n + 3. Calculate 3*i(m) - 24*z(m).\nAnswer: 9*m**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by (-7 - 44\/(-6))\/(2\/324)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.959 + 1.691. Let t = g + 0.35. Let w = t + -35.9906. What is w rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 35*h**5 - 105230*h**4 + 105090*h**3 + 315620*h**2 - 105125*h - 210390 = 0.\nAnswer: -1, 1, 2, 21039\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*g + 204 = -54, 0 = g - 4. Calculate the remainder when b is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.7167 times 15\nAnswer: 280.7505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 25*u - 448. Sort u, 1, -40 in ascending order.\nAnswer: -40, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (54\/2)\/(10 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 9*s - 90 = -4*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 + 11*d - 6. Let w(j) = 5*j**3 - 32*j**2 - 56*j + 30. Suppose -25*x = -4*x - 42. Let o(v) = x*w(v) + 11*f(v). What is o(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 615569 = -5*s + 13*u, 3*s + 3*u = 369336. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 269?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(550)*-2 + sqrt(550) + sqrt(550) + -2*sqrt(550)*5)\/(sqrt(1100) + (sqrt(1100) + sqrt(1100) + sqrt(1100)*1)*3 - sqrt(1100) - 2*-1*sqrt(1100)).\nAnswer: -7*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 221 + a**2 - 212 - a**2 - 2*a**2 + 4*a**2 + 3*a**2 - 3*a**2 + 2*a**2 + (a + 0*a - 2*a)*(2 + a - 2).\nAnswer: 3*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56080 by -8.\nAnswer: 7010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/7 and 8\/23667189.\nAnswer: 23667189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -43, 302 in increasing order.\nAnswer: -43, 2, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -2. Let f = y - -3. Let u = -6\/143 - -376\/2145. Sort f, 0.4, u in decreasing order.\nAnswer: f, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/842 and 33\/4.\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*(-144)\/128.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46176 and 936.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 7938\/31, 5, -39?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108708\/11 + (-144)\/264 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-4) - 3) + 1\/2. Which is greater: c or 1\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**7\/360 + 3*u**5\/40 - u**4\/3 - 7*u. Let x(c) be the third derivative of f(c). What is the first derivative of x(r) wrt r?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*g - 169, 2*g - 6*g + 200 = 5*a. Suppose 65 = -3*p + 8*p. What is the remainder when a is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -37*h**2\/2 - 7. Let l(t) = -2*t**2. Calculate l(k(a)).\nAnswer: -2738*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162541040.\nAnswer: 2, 5, 47, 139, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (-2*(-4*sqrt(55)*-2 - sqrt(55)))\/(5*(sqrt(320) + (sqrt(320)*-3 - sqrt(320))))).\nAnswer: -1 + 7*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0*b**2 - 5 + 5 - b**2 + 3. Let o(k) = -k**2 + 1. Let z(d) = 2*o(d) - v(d). What is the derivative of z(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27552 (base 8) to base 14\nAnswer: -45d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 358.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30420 and 222124500?\nAnswer: 2887618500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 - 3*h**2 + 12*h - 15. Let x(m) = 3*m**3 + 4*m**2 - 11*m + 12. Let c(d) = -4*b(d) - 5*x(d). Suppose c(p) = 0. Calculate p.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2333 to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.9 - 18. Which is the second smallest value? (a) v (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*b = 86*b + 40. Solve b = -5*i + m - 0, -1 = 2*i + m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 26*s**2 + 43*s + 116. Give i(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - -2)\/(-12 - 7 - -5).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 33*q + 2. Let l be v(6). Suppose 55 = 5*h - l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + n - 8 = 0, -5*s + 5*n + 5 = 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2331 (base 4) to base 3.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303123 - 301321?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + i**2 + 9*i - 5. Give l(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/4 - 175*z**4\/4 + 10*z**3\/3 + 1050*z**2 - 5108*z. Factor x(g).\nAnswer: -5*(g - 2)*(g + 2)*(g + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlcrzrcccsclrzl. Give prob of sequence zz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 534060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*v - 2*v - 7442, 5*t + 7443 = -3*v. Let x = -1000 - t. List the prime factors of x.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtdsfufsd. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -1, -8, -0.5 in ascending order.\nAnswer: -24, -8, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4324, -8650, -12974, -17296, -21616?\nAnswer: -25934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/444 and 37\/55.\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -407664, -815329, -1222994?\n\"Answer: -407665*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((70\/460)\/7) - 7. Solve -4*y + 15 = -42*x + b*x, 5*y = -4*x - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Sort w, -1\/3, 5 in descending order.\nAnswer: 5, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68991?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7292\/425419 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -49.5*2\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-90))\/(12\/(-10)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -483, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -8\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 240 + -200. What is the greatest common factor of u and 920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114579 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 22 = 2*k + 24, b = -5*k - 23. Let d(z) = -z - 14. Give d(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let v be (6 + z)\/(-3)*-3. Suppose v*t - 60 = t. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 243*f - 140. Let j be y(60). Solve j*b - 30*b = 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 8 + -2)\/(-2*1). Let s(j) = 5*j + 9. Let a be s(f). What is the common denominator of 7 and (2\/a)\/(2 + (-150)\/76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297310443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -23. Let v = 8461.4 + -8461. Let j be (2\/(-3))\/(6\/(-15)). What is the fourth biggest value in -1\/4, v, q, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94757 - 192757 = -4917*c + 236356 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 226964 - 226964.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -71. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-88)\/(-10))\/((-2)\/(-10)). Let p = h + 5. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 + 27 = 0. Let x = -3 - v. Let d = -0.5 + 0.3. Which is the closest to -1? (a) -4 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1515042 (base 6) to base 14.\nAnswer: 24094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2614, -2546, -2478, -2410, -2342, -2274?\nAnswer: -2206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 2*w + 5. Let c be x(0). Suppose y = -c*o + 15, -2*y + 0*y + 12 = 4*o. Solve d + y*d - 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 2131280*p - 283897152400.\nAnswer: -4*(p - 266410)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.73152 years to decades.\nAnswer: 9.273152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 405036704 + 0?\nAnswer: 405036704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9990 + -9970. Which is the smallest value? (a) 0.3 (b) 6 (c) 0.4 (d) 0.2 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91175 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/5)\/((-68)\/(-20)). Let k = -79 + 81. Which is the nearest to -0.1? (a) -0.1 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98.17313 litres?\nAnswer: 98173.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 272, 8, 0 in ascending order.\nAnswer: 0, 8, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 2, o: 3, p: 6}. Give prob of picking 1 o and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 453561*w - 907134.\nAnswer: 3*(w - 2)*(w + 151189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 0.4, 2651 in increasing order.\nAnswer: -3, 0.4, 4, 2651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 467295, -5, 91 in increasing order.\nAnswer: -5, 91, 467295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, 6, 0.8.\nAnswer: -240, 0.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 217\/3 + 5\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**5*v + 4*b**4*v**2 + 5*b**2 + 66*b*v - 5*v**2 wrt b.\nAnswer: 20*b**3*v + 48*b**2*v**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = 5*j, -3*j = -k - j - 4. Let h = 35 + -38.9. Let v = h - -4. What is the closest to 0.2 in v, k, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2244*a + 2266*a = 44 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t + 8. Let q(f) = -3*f + 4. Let j(a) = -5*q(a) + 2*w(a). Let g(y) = 1. What is 2*g(h) + j(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12785 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-2\/5)*t)\/t)**38*(t\/t**0)**24 assuming t is positive.\nAnswer: t**(424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 5*u**4 - 2*u**4)*(16 + 1 - 1)*(-33*u - 8183 + 8183).\nAnswer: -1056*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + 3*g + (-1 + 1 - 2)*(-4 + 4 - 2*g))*(5*g - 5*g + 3*g**4) + 0*g + 2*g - 24*g**5 - 8*g**5.\nAnswer: -17*g**5 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + q**2 + 3*q + 1. Let k be -4 + (1 - (-3)\/3). What is the units digit of j(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7588 divided by -15067.\nAnswer: -7588\/15067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16316314, 32632628, 48948942, 65265256?\n\"Answer: 16316314*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684))**2*2 + sqrt(684) + (sqrt(95)\/(sqrt(15)\/sqrt(3))*-1)**2.\nAnswer: 54*sqrt(19) + 1395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5656436.\nAnswer: 2, 23, 61483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Let a = -961\/573 - -2\/191. Suppose 109*l - 97*l + 24 = 0. What is the closest to -2 in a, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s*s)\/s**27*s\/s**7*s**13 assuming s is positive.\nAnswer: s**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 6*n - 3*f + 0*f - 23 = 22, 29*n - f = 104 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046*z + 1014*z = 1905*z - 4185 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/10 + 43*n**4\/12 + 224*n**3 + 61*n**2 - 2. Differentiate c(d) wrt d.\nAnswer: -12*d + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 17536?\nAnswer: 17535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/61, -184869, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 4}. Give prob of picking 1 q and 1 z.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10112600 rounded to the nearest ten thousand?\nAnswer: 10110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/9 + 16*i**4\/9 - 40*i**3\/9 + 4*i**2\/9 + 38*i\/9 - 20\/9 = 0. Calculate i.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -106826*y + 341. Let i(f) = -937*f + 3. Let g(z) = -341*i(z) + 3*u(z). Let n(s) = -2*s**2. Determine g(n(l)).\nAnswer: 1922*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 553 + -309. Suppose 4*s + y - 621 = -s, 0 = -2*s + 4*y + a. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v = 35*v + 5, 4*x - 5*v = 599. Let u = x - 156. Sort u, -3, -9 in descending order.\nAnswer: u, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 117\/12 - (-6)\/24. Let l(z) = -v*z + 7*z - 9*z - 4 + 24*z - 10*z. Calculate l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efrxf. What is prob of picking 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1232 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35596486?\nAnswer: 2, 1741, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, l: 5, m: 3, n: 2, z: 3}. What is prob of picking 4 e?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 152*m**2 - 842*m**2)*(m + 5*m**3 - m) + (7 - 4 - 1)*(0*m + m**5 + 0*m) + 2 + m**5 - 2.\nAnswer: -4967*m**5 + 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 38*f - 325. What is the highest common factor of f and 767?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/55)\/l**37*(l*l**(-2)\/l)\/l**(-35) assuming l is positive.\nAnswer: l**(-218\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4239191 is divided by 1507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(77) - -1*sqrt(77)))\/(3*sqrt(7)*2).\nAnswer: 25*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by -3\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = c. Suppose -15*d - 96 = -c*y - 19*d, 0 = y + 2*d - 28. Calculate the lowest common multiple of y and 802.\nAnswer: 8020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 301, 313, 341, 391, 469, 581?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 161.722602 seconds?\nAnswer: 0.001871789375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 77962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - h**2 + h + 24. Suppose 0 = 3*m - 6*m. What is the remainder when d(m) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112 - -118 - -112) + -60.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/2 + 11*g**3 + 157*g**2\/2 + 198*g + 162.\nAnswer: (g + 2)**2*(g + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8856803 to the nearest 10000.\nAnswer: -8860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((((-10956)\/(-18))\/2 - 2) + -6)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 738405 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-54))\/(110\/132).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f**3 + f**2 - 5*f + 5. Give b(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27709 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1961493.\nAnswer: 3, 653831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t - 5. Let l(z) = z**2 + 5*z. Let o be l(-4). Let g(x) = 3*x - 5. Let n(b) = o*g(b) + 6*s(b). Differentiate n(y) with respect to y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104) + sqrt(104))*-5 + sqrt(104) + sqrt(104))\/sqrt(8) + -3*(-4 + (sqrt(13) - (sqrt(13) + 1)**2) + sqrt(13)).\nAnswer: -8*sqrt(13) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/3 - 4917*h - 888648 = 0. Calculate h.\nAnswer: -14568, -183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.3621l in millilitres?\nAnswer: 852362.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*u + u**4 + u**4 - u**2 + 22 + 378872*u**3 - 378870*u**3 as z*u + j*u**2 + v + m*u**3 + c*u**4 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9284, 26760, 44236, 61712, 79188?\nAnswer: 96664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 - -54. Let w = -25 - n. Factor j**2 + 20*j**2 + 36*j**3 + 26*j + 6 + w*j**2 + 14*j**4 + 2*j**5.\nAnswer: 2*(j + 1)**4*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7882832*t**3 + 3046529*t**2 wrt t.\nAnswer: -47296992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(80) - (sqrt(80) + 1*sqrt(80) + -2)))**2.\nAnswer: -40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165.4 + 152. What is t rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from lskbslllksklq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -60, -75, -74, -51, 0, 85, 210?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5*p - 1793, -2*q - 4*p + 603 + 295 = 0. Calculate the remainder when q is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**25*p**(-4) assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/18, 0.01 in decreasing order.\nAnswer: 1\/18, 0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64598.54ml?\nAnswer: 64.59854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -182761 in -0.3, 3\/2, -5, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from qqzzqqzqqqz.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947237081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -5236044.878.\nAnswer: -5236045.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017262842784 rounded to five dps?\nAnswer: -0.01726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z + 110. Let d be g(-16). Let f(o) = -o**2 + 10*o + 65. Let p be f(d). Let m(w) = w**2 - 9*w - 11. Give m(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvswwgwsswsswwswwsg. Give prob of picking 1 g and 1 s.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Which is the closest to 0? (a) -0.04 (b) r (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1353568\/7 or 193368?\nAnswer: 1353568\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 30*g = -13*g - 22*g - 16*g - 30, 0 = 6*g - 4*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 2*t**7\/525 + t**6\/200 - 7*t**5\/100 + 17*t**4\/120 - t**3\/10 + 11*t**2. Let m(c) = 0. What is c?\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)\/(v\/(v*v*v**7)))\/((v*v**(-12))\/v*v**1))**33 assuming v is positive.\nAnswer: v**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 990.1032 meters in kilometers?\nAnswer: 0.9901032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -3, -2, -1\/2 in descending order.\nAnswer: -1\/2, -2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/344 - -14985\/2408. What is the common denominator of q and 155\/258?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311600412 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38007038161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -11. Let t be -2*(62\/16 + -4). What is the smallest value in 0.2, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/16232 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*t - 76, 216 - 12 = 5*t + 2*x. Suppose -4*n = 8 - t. Calculate the remainder when 21 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 + 184 = 16*x. Let v = 84 + -25. Calculate the remainder when v is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 28295 = 12*k - 13*k, 5*u = 10. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c478 (base 16) to base 7\nAnswer: -3132654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 3*q**2 + 4*q - 7. Let l be v(3). Solve 2*d = l*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0 - 10*a**2 - 1\/20*a**5 + 0*a**4 + 2*a + 0*a**3. Let o(m) = 4*m - 10. Give f(o(p)).\nAnswer: -48*p**2 + 240*p - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydydcccy. Give prob of picking 2 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 418 = 3*r, 177 - 599 = 2*v - 2*r. Let u = v + 223. What is the smallest common multiple of u and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - c + 46 + 46 = 0, -46 = -2*z - 2*c. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*g + 47, -2*g = -3*g - 4*r + 9. Suppose 5*h + 0*h = -4*k + 31, 0 = 3*h + 2*k - g. Factor 0*b**2 + 4\/5*b**h + 0*b + 0.\nAnswer: 4*b**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2771112 (base 9) in base 4?\nAnswer: -11303310131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 7*d**2 + 9*d - 5. Determine q(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19) + -3 + sqrt(38)\/(sqrt(2)*-2) + 2 + ((sqrt(76) + 1*sqrt(76))*-3)\/((5*(sqrt(36) + sqrt(4)) - sqrt(4)) + sqrt(4)))**2.\nAnswer: -4*sqrt(19)\/5 + 119\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4585 less than 24306150?\nAnswer: 24301565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.19, -6\/11, -5, -78\/17?\nAnswer: -78\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7669656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 5, 0.016, 9, 0.55?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59092393?\nAnswer: 59092393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-2))\/((113740\/55)\/47)*7\/1?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*l - 4*g + 8*g, 5*l = g + 45. 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: b\"What is the ith term of 16605, 16575, 16537, 16485, 16413?\n\"Answer: -i**3 + 2*i**2 - 29*i + 16633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 882872.3 decades?\nAnswer: 8828723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 7*z + 6. What is o(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-9) - 2\/3. Find the first derivative of -2*y**3 + 5 - y**3 - 2 + d*y**3 wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/9 (c) -5 (d) 3\/2 (e) 3.0897\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 954*j - 5372. What is the units digit of q(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (16\/(-12))\/(1\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) + (-46)\/(-69)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0 - 1\/90*t**5 - 25\/24*t**4 + 0*t + 19\/9*t**3 - 87*t**2. Suppose o(u) = 0. Calculate u.\nAnswer: -38, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.9282 and 0.1499.\nAnswer: -1.48823718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1475*i + 1372*i + 381 = -855 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + (1 - 4 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**4\/6 - 5*m. Let o(f) = 0*f - 2*f + f. Calculate o(r(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 24*k - 17. Give s(-23).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:45 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/23 (b) -1\/5 (c) -1 (d) -2\/17 (e) 432 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189338850 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.12486 years to decades.\nAnswer: 9.012486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2\/7 (c) 0.03 (d) -4\/5 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2552.7 - 2553. Which is the biggest value? (a) 0.049 (b) -0.4 (c) 0.15 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -9\/34, -0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 + -913\/7. Let k(w) = w**3 + 3*w**2 + 4*w + 3. Let f be k(-2). Which is the closest to f? (a) i (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:19 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, x: 3, v: 3, c: 6}. What is prob of sequence xc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 - 1) - (4 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-6) + 171\/18. What is the greatest common factor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 67100*p**2 - 268404*p + 805216\/3.\nAnswer: (p - 2)**2*(p + 201304)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3474, -9238, 4 in increasing order.\nAnswer: -9238, 4, 3474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 5*k - 36. Suppose 45 = d + 2*d. Let t(s) = -2*s + 8 + d + 13 - k. What is t(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-4)\/(-2) - -16. Let b be -1*(-18 - (-2 + 1)). Suppose 0 = 4*x - 3 - b. Solve 4*a = -x*q + 14 + 3, -4*a = 2*q - o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 36 = 4*a. Suppose 4*m = 4*n - a*n - 8, 3*m - 4*n - 25 = 0. Solve x = -3*f + 3, -m*x + x = -4*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2*sqrt(2))**2 + -5 + ((sqrt(2) - sqrt(10)\/sqrt(5))*5)**2 + (((sqrt(240)\/sqrt(5))\/sqrt(12))\/sqrt(2))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(-12)\/8. Sort 0.4, -3\/4, w in increasing order.\nAnswer: w, -3\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2134 (base 8) to base 12.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 265884522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 34*v**2. Let n(p) = -4*p**2 + 50*p - 100. Let f(g) = 3*g**2 - 50*g + 80. Let d(z) = 5*f(z) + 4*n(z). What is d(q(u))?\nAnswer: -1156*u**4 - 1700*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0.2. Let r(h) = -514*h - 1546. Let z be r(-3). Which is the nearest to 2\/3? (a) 0.5 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11969243729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 4*n + 24, 10*n - 8 = k + 11*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56732\/(-61096) - 3741\/42.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 512547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 86 = -81 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 21\/3061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40009, -80060, -120115, -160174, -200237, -240304, -280375?\n\"Answer: -2*h**2 - 40045*h + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eii when three letters picked without replacement from eeeeiieqieiqeeieeee?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 14*r + 6. Sort r, -1, -22 in descending order.\nAnswer: r, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 13 = 5*m - 4*m, 0 = -3*m - 5*j + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1615570615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075474837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 17. Sort -16, j, -1 in decreasing order.\nAnswer: j, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1619 * 572\nAnswer: 92.6068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40043 + -203440?\nAnswer: -244033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 8\/15*r**6 + 5\/2*r**2 + 0 + 0*r**4 + 0*r**5 + 7*r + 0*r**3. What is the first derivative of w(a) wrt a?\nAnswer: 64*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/(d**(1\/20)*d))**(-41) assuming d is positive.\nAnswer: d**(3321\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4612, 4532, 4452, 4372, 4292, 4212?\nAnswer: 4132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.8. Let m = 2.2 + j. Let t = 5.81 + -8.81. Which is the second smallest value? (a) -2\/7 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64.73 - -380.97. What is c rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqpppppqp. What is prob of picking 2 q and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n - 5. Let t be p(4). Put t, -1, -4 in descending order.\nAnswer: -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let n(s) = -s**3 - 11*s**2 - 15*s + 1. Let x(i) = i**3 + 12*i**2 + 16*i. Let z(w) = -3*n(w) - 2*x(w). Let t be z(-7). Solve q*a - 16 = t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 334970928.69999846 - 334970941. Let b = -12.3 - a. Round b to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -4. Let r be (-2)\/2*3\/3. Let m = r - -2. Calculate the greatest common divisor of t and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0 - -4) + 1 + -884 + 911 + 13.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, b: 3, t: 1, v: 2, c: 1}. What is prob of picking 1 v, 1 b, 1 c, and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 171 = d. Suppose -d = -25*w - 9. Solve p = -5*o + 20, w = -o + 2*p + p + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.1 - -28. Let m = 0.4 - -0.5. Let z = i - m. What is the closest to z in -4, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -9*n. Let q(o) = 3*o - o + 3*o + n*o. Let l(h) = 0*h**2 + 0*h**2 + h**2. Calculate q(l(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 259, 1189 in increasing order.\nAnswer: -5, 259, 1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 435?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) 11\/203 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5262.17 centuries to months.\nAnswer: 6314604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 2\/5 (c) 0.5 (d) -24 (e) 4 (f) 5 (g) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268.1404 + 0.1596. What is m rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 496000 to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17735*p - 18 = -17739*p - 5*m, -12 = -4*p - 2*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 6 = 29*u. What is the third derivative of -15*t**5 + 1194 - 1194 - 2*t**u wrt t?\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/4 - y**3\/6 - 2*y**2 + 65*y. What is p(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + (0 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -0.3, 0.1, 1, 192\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 4. Let y = 10 + -4. Let b = 1 - y. What is h(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose 5*n - 5*a - 35 = v, 18 - 4 = 2*n + 5*a. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 367, 640, 1089, 1708, 2491, 3432, 4525, 5764?\n\"Answer: -p**3 + 94*p**2 - 2*p + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 13346757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230742132?\nAnswer: 2, 3, 19228511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -239.8392 to zero dps.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = z, 0 = 4*l - 4*z - 28. Suppose -6*m + l*m = 0. Solve -u + 0 + 1 = m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c + 2 = 0. Suppose -c*s + 5*m - 5 = -6*s, 3 = 3*m. Let b = 4 - s. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522*u = -1468*u + 2214 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3399951386 rounded to 6 dps?\nAnswer: -0.339995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 8. Let w be o(-6). Suppose 3 + 33 = w*g. Let l(a) = a**3 + 4*a**2 + 2*a. Calculate the remainder when g is divided by l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z + 40 = 0. Let o be (32\/z)\/(2\/(-5)). Suppose o*i + 21924 = 724. What is i rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 4*v - 45. Suppose 10*b + v = 7*b. Does 18 divide (1*-135)\/(b\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*f - 124*f - 45*f**2.\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 11*r + 16 = -4*g - 15*r, 0 = 8*g + 3*r + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 43*p**2 + 476*p - 641. Determine c(16).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/9 (c) 0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5)\/(((-171)\/(-380))\/9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*m**3 + 822*m**3 - 408*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322 - 10?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 13534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = 3*p + y, 2*p - 4*y = -14. Let u = -39253.3 - -39253. Sort u, p, 0.4 in descending order.\nAnswer: 0.4, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1043.77 - 1044.17. Let p be (2\/(1 - 19))\/(-1). Let q be 2\/4 - (-2 + 2). Sort 2\/7, q, p, l in ascending order.\nAnswer: l, p, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c. Let h(n) = 5*n. Let p(d) = -7*h(d) + 4*i(d). Let g be p(-4). Do g and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34950 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 121101211201101?\nAnswer: -121101211201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + 100. Let s be d(0). Let m = s + -97. Suppose -b - 3*j = -j, 2*b + m*j - 1 = 0. Solve o - 3*o = a + 10, b*o = 4*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:47 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 13 = -4*a + 2*a, -3*i + 19 = 4*a. Suppose -h = -5*h + 8. Let y be 22 - (h - (1 + 0)). Solve 0 = i*l - l - 16, y = x + 4*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*z**3 + z**2 + 1607 wrt z.\nAnswer: -36*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10344, 41449, 93316, 165957, 259384, 373609, 508644?\nAnswer: 664501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Solve 0 = -2*s - h + 10, -9*s - 5*h = -10 - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7144 divided by 4.\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1217 and -3039619704.\nAnswer: -3039619704.1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1365429 divided by -1365429\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.3 - 29. Let v = o - -3.7. Let z be (-2)\/6*(-4)\/(-6). Sort -2\/7, z, v.\nAnswer: -2\/7, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h**3 - 5*h**2 + 8. Let y(z) = 3*z**3 - 2*z**2 + 3. What is 4*g(s) - 11*y(s)?\nAnswer: -s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 + -167. Let h = 0 + 0.1. What is the third smallest value in -0.5, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, 1, 0.5, -3, 0.08, -4327?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 + 152.05. Let o = j + -4. Let x = -19612 + 19610. What is the third smallest value in o, -2\/11, x, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/26 (b) -4 (c) 1\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Let n(t) = 31*t**2 - 4*t + 2. Let w be n(2). Suppose -4*b + w = 6. Solve -b = -4*c - 2*r, -m*c + c = 4*r - 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1 - 19*d**2 + 23*d**2 + 1. Let m(z) = 11*z - 15. Let r(n) = 6*n - 9. Let l(i) = 6*m(i) - 10*r(i). What is s(l(a))?\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + -0.01. Let n = -0.145 - 35.855. Let i = n - -36. Which is the nearest to v? (a) -2 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.016? (a) 0 (b) 0.3 (c) -2\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7817, -7775, -7719, -7643, -7541, -7407, -7235, -7019?\n\"Answer: p**3 + p**2 + 32*p - 7851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000064738241 to seven decimal places.\nAnswer: 0.0000647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 22*v = -c + 14, 0 = 3*c - 4*v - 23. Suppose 2*o + 0 - 2 = 0. Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 19*c**2 - 4. Let l(w) = -203*w**2. What is v(l(y))?\nAnswer: 782971*y**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 320 = 4*p, 2 = -j - 4*p + 90. Suppose -j = -2*d + 3*w + 27, -4*d - 2*w + 182 = 0. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27.9? (a) -0.03 (b) 1\/5 (c) 12835\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x - 49. What is o(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2. Let s(h) be the third derivative of 0 + 0*h + 0*h**3 - 19\/24*h**4 + 24*h**2. What is s(p(r))?\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*o = -46, 19 = -3*s - 3*o - 23. Let q(b) = -b**2 + 4*b - 5. Let h be q(5). Which is greater: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**6\/24 - 7*i**5\/12 - 25*i**4\/24 - 67*i**3\/6 - 29*i. Let q(h) be the second derivative of w(h). What is y in q(y) = 0?\nAnswer: -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-10))\/((-60)\/1400) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(-8) + (-89193)\/(-104)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:44 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 23. Let b be s(6). Solve -b + 21 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - ((-36 - -34) + -23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4552, 9425, 14290, 19141, 23972, 28777?\n\"Answer: -l**3 + 2*l**2 + 4874*l - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1457 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 34 = -24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {i: 9, q: 1, y: 3, c: 6}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 826 at least 826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqzqqzqq. Give prob of picking 4 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.789 from -42006.\nAnswer: -42006.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 41*v - 19. What is j(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 3*o**2 - 5*o + 2. Let b be (9\/(-3) - -3)\/2. Suppose -4*s + 27 = -3*k, b*k - k + 17 = 3*s. Suppose s*x - 2*x = -16. Calculate d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7021*4286 - 48\/(-8). Round k to the nearest one hundred thousand.\nAnswer: -30100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, m: 3, g: 1}. What is prob of picking 3 m and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 879 + -815. Determine h, given that -h**2 + q*h - 198 + 261 + 2*h**2 = 0.\nAnswer: -63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/((14\/(-8)*2)\/((-420)\/240))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.32 + -0.89. Let y = h - -0.5699812. What is y rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 18. Let p = -1170 + 1179. Give u(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4333 + -334213?\nAnswer: -344101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h. Let y(m) = 1. Let j(k) = -4*k + 8. Let n(b) = j(b) - 8*y(b). Let d(c) = 10*n(c) + 6*v(c). Let x(q) = 3*q. What is d(x(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 9*g**2 + 4*g - 25. Let x be ((-40)\/15)\/(2\/6). Let l be s(x). Suppose 0 = l*i - 2*i + 1540000. Round i to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/234)\/(459\/(-663))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -531*x**4\/2 + 487*x**3\/3 - 158. What is the third derivative of b(c) wrt c?\nAnswer: -6372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 1. Let g(l) = -l**2 + l + 4. Let n(p) = 3*d(p) - g(p). Suppose 7 = 4*r - 41. Calculate the remainder when n(-7) is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*f + 79*f - 194*f)*(1 - 2 + 0)*(14 - 32 - 9).\nAnswer: -702*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2736\/608*(-3)\/108*1. Let d = -167\/7 + 2897\/105. Let s = 10\/3 - d. Which is the second smallest value? (a) l (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/9? (a) 3\/2 (b) 10.6 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114149 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -7*f**4\/24 + 59*f**3\/4 - 25*f**2\/2 + 2*f - 2. Let c(z) = 0. What is z?\nAnswer: 2\/7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6123127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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 ((q\/(q**28\/q))\/q)**(8\/3)\/(q*q**(-8))**(1\/23) assuming q is positive.\nAnswer: q**(-1649\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*v + 8 = h, 0 = -2*h - 4*v + 4. Suppose 2*o - 32 = h*o. Let x(u) = u**2 + 7*u - 3. Let j be x(o). Solve 0 = -k + j - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkgnjcgc. Give prob of picking 1 g and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50054267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-40))\/(6\/15))\/(400\/(-300))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131.04 or -345?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 2027143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, k: 12, b: 4, s: 1}. Give prob of picking 3 b and 1 s.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.217 (c) 14441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*g - 77*g - 6*g.\nAnswer: -152*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -15 + 9. Let u be s\/33*389995\/1. Let q = u + -11819. Calculate the common denominator of q and -13\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = 0, -66*l + 2599 = 3*o - 71*l. Calculate the greatest common divisor of o and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1784 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, 3774\/19, -0.5 in decreasing order.\nAnswer: 3774\/19, 13, 4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 13, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**3*z - 152758*u**3 + 2*u**2 - 6*u*z - 3*u + z + 11706 wrt u.\nAnswer: -18*u*z - 916548*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 1. Suppose q + 13 = j. Suppose r - 124 = -q. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231535676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445292835 by -957619.\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 544253 (base 6) to base 13\nAnswer: 17661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17 + 17)\/(-26))\/(-4). Is r greater than or equal to -1\/5392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*i - 20*v + 21*v, v = -6*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2*d*d**8)**(1\/18)\/(d**(2\/11)\/(d**(4\/5)*d)*(d**0)**19) assuming d is positive.\nAnswer: d**(377\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.7722 decades in months?\nAnswer: 10412.664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 4*n**3 + n**3)*(0 + 0 + n).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 3*c**2 - 4*c**2)*(0*c + c + c) - 2*c**3 + 9*c**3 - c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3902\/7 + 552. Let t = -687 - -3417\/5. What is the common denominator of t and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 34. Let b be (561\/(-6))\/(11\/(-22)). Calculate the greatest common factor of b and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 4*((-9)\/(-3))\/12. Let q(m) = -6*m**3 - 4*m**2 - 8. Let s(u) = -5*u**3 - 3*u**2 - 7. Determine v*q(h) - 4*s(h).\nAnswer: 2*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (7 - 6) + 0 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 32*g + 867. Let w be j(-26). Solve 3*r - 10*r - w = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -17*f**2 - 76*f + 44. Let t be u(-5). Let x be 8\/6 - (4 + -3). Sort x, -5, t.\nAnswer: -5, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/24 and -2\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18702646189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5.86 + -0.05\nAnswer: -5.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2082350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/120 - n**5\/12 - n**4\/4 + n**3\/2 - 25*n**2. Give x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1 + sqrt(8) + 0 + 3 + sqrt(32) + 1 + (sqrt(72)*-2)\/(sqrt(81)*-3 - sqrt(9) - sqrt(9)))**2.\nAnswer: 486*sqrt(2)\/11 + 14211\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -334144265*g**3 + 5008986*g**2 wrt g.\nAnswer: -2004865590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a + p - 8, 5*a - p - 22 = 0. Suppose -1 = -5*w - 26. Let f = 5 + w. Solve f*q = -a*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 + 19221*o**2\/5 + 19697976*o + 57882762148\/5.\nAnswer: (o + 673)*(o + 9274)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -7.414909?\nAnswer: -7.314909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13604 - 81569\/6. Calculate the common denominator of s and -64\/25225.\nAnswer: 151350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1156 (base 7) to base 9\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i + 38*i**3 - 22*i**3 - 4 - 14*i**3.\nAnswer: 2*i**3 + 46*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 975*p - 29251. Give s(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -0.2451, -3, -5, 3\/5?\nAnswer: -0.2451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125774 or 125772?\nAnswer: 125774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-2)\/(-6)*21. Suppose 0 + c = 5*a, 4*a - 20242 = 2*q. Let x = 182093\/18 + q. What is the common denominator of 79\/6 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + 8 - (-315 + 156)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.05, 4, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 2720225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1986057 rounded to the nearest 10000?\nAnswer: -1990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*a - 4*s, 5*s - 21 + 6 = 0. Solve -17 = -x - a*q + 8*q, -3*q = -3*x + 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n - 5. Let k(a) = -a - 1. Determine -d(h) + 4*k(h).\nAnswer: 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6.9. Suppose g + 0*n + 2 = -n, -4*g + 3*n + 13 = 0. Let j = 0.35 - -0.15. Which is the closest to g? (a) p (b) -1\/8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1903 and 1038?\nAnswer: 11418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o - 145. Let x be -1 - (-2 - -4)*42\/4. Let z = x - o. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -672.6 - -673. What is the biggest value in 151, y, -1?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2*sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190)))\/(sqrt(250)*2).\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70407 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 80444.03647 to the nearest ten.\nAnswer: 80440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**3 - 4*q**3 + 4*q**3)*(3*q - 4*q + 4*q) + (-3*q**2 + 0*q + 0*q)*(-4*q**2 + 2 - 2) to the form i + x*q**2 + k*q**3 + c*q + v*q**4 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -7. Let o be (-36)\/(-15) - 12\/(-20). Let s = 8 - 4. Put o, g, s in descending order.\nAnswer: s, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 23*q - 7. Let n be w(-14). Let v = -244 - n. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)*l*l*l**(-2\/13)*l)**32)**(-1\/17) assuming l is positive.\nAnswer: l**(64\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 290?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*u + 39*u + 48*u + 34 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)*(p\/(p\/(p**(2\/7)*p)))\/p*p**(-10)*p\/p**12)**(-17) assuming p is positive.\nAnswer: p**(3417\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 6 + 6)*(-2*u**3 - 4*u**3 + 0*u**3) - 3*u + 2*u**4 + 2 + 3*u.\nAnswer: -16*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -28*t**3 - t**2 - 9*t - 9. Give w(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*5\/(-6))\/(95635\/(-2468)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -12\/11 (b) -0.4 (c) -0.0149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2958 - -3.5958. Which is the closest to 2\/7? (a) g (b) 8 (c) -0.1 (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.0145769 less than -13846?\nAnswer: -13970.0145769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13593585297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*((-2)\/(-3))\/(106\/(-477))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 24551 + 38*z**3 - 23*z**3 - 12*z**3 + 276*z**2 + 6864*z - 1137 - 182 = 0.\nAnswer: -44, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d - 10. Suppose 2*f + 4 = z, -201*f + 2*z = -205*f. Put 0, 13, f, d in decreasing order.\nAnswer: 13, d, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19200 is divided by 6400.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849246 is divided by 22550?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33949573 + -15.9.\nAnswer: -33949588.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 16*(-9)\/(-36). Let z be -5*-2*(-1)\/(-5). Let p be z - (0 + -1 - -2). Put p, h, -4 in ascending order.\nAnswer: -4, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 10, 1\/5, -19, -1\/4, 3, 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 1\/2 (b) 157 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -93 (b) -0.4 (c) 0.4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*o + 473*o - 14696 - 12360 = -761*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -32. Suppose 0 = 4*s - f - 5. Suppose 9*a - 110 = 4*a. What is the lowest common multiple of s and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 629 - 608. What is the third derivative of 11*b**6 + s*b**6 + 47*b - b**2 - 62*b wrt b?\nAnswer: 3840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2. Let t(u) be the third derivative of u**5\/20 - 2*u**2. Give t(a(y)).\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/848 and -13\/2120?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4261\/190 + -7\/95. Calculate the common denominator of 109\/14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 7 + 29)*(9*a**2 - 12 + 12 + (2*a - a + a)*(-a + a + 2*a) + 0*a**2 - a**2 + 3*a**2 + 2*a**2 - 2*a**2 - 2*a**2).\nAnswer: 169*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751801?\nAnswer: 23, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127156 and 664?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 485, 3 in descending order.\nAnswer: 485, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 12\/78 + 17540\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23)\/(-72) - -3*-7*8\/(-1344). Sort 0.2, 0, c, 0.07, 0.1 in ascending order.\nAnswer: 0, 0.07, 0.1, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.3 (c) -5 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 21*b - 18. Suppose -5*d + 4*n + 48 = -38, 56 = 3*d + 2*n. Let q be (-40 - -39)*d*1. Let c(y) = 6*y - 5. Determine q*c(j) + 5*g(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011210120200 (base 3) in base 8?\nAnswer: -2306361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2132 - 1?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*n**2 + 341*n**3 + 73*n**2 - 2*n**4 - 343*n**3 to b*n**4 + a*n**2 + v*n**3 + s*n + u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211121200 - -210?\nAnswer: -1211120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21, 0, -5 in increasing order.\nAnswer: -21, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3434 greater than or equal to -3763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1*(5 - 0). Let p(f) = -f**3 + 5*f**2 + 8*f - 7. What is the remainder when p(x) is divided by (-3)\/4 - 22\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207940 and 12?\nAnswer: 623820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-6 + 6)) + 17 + -16 + -19?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11911 + 19013. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 5\/9 (b) 1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (499*y - 1135*y + 533*y)*(-149*y + 9741 - 9741) + (2*y + 0 + 0)*(4 - 4 - 2*y) - 3 + 3 + y**2.\nAnswer: 15344*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 10*v + 57 + 24*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*m = -99, -m + 96 = -851*d + 855*d. Solve 2*s + d*s = -125 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eddddfqqdfdqddddj. What is prob of picking 2 q and 1 f?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -26. Let o be 2\/7 - (-3265936)\/269640. Let y = o - -2\/963. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4\/3 - 250*n**3 + 92708*n**2\/3 = 0.\nAnswer: -473, 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*p + 104, 2*d + 1579 = -p + 1605. Suppose -4*i = -0*n - n - 70, 2*n - 13 = -i. Let s = i + 48. What is the highest common divisor of s and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 585472.6ug?\nAnswer: 0.5854726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/5)\/j*j**(-3)*j)**(44\/5) assuming j is positive.\nAnswer: j**(-396\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -24*p**3 + 531*p**2 + 1734*p - 225 = 0.\nAnswer: -3, 1\/8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196061 less than -0.15?\nAnswer: -1196061.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5 + 2111*f**4 + 3172*f**3 - 1054*f**2 - 3170*f - 1057 = 0. What is f?\nAnswer: -1, -1\/2, 1, 1057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201 and 27.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/16146 and -67\/17940.\nAnswer: 161460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 6. Let b be m(2). Let k = -187 - -189. Suppose -6 = -k*z + 4. Solve c - z*c - b = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(10\/7)*z*z**(-6\/7)*z)**(-4\/5))**21 assuming z is positive.\nAnswer: z**(-216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaoaaaoyhzzoyoyoao. What is prob of picking 2 y?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*(-16)\/240*(1 - 4). Let n = -4 + 1. Sort 0, -2, n, z in descending order.\nAnswer: z, 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 263474 or 263465?\nAnswer: 263474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 3:41 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14*g + 2. Let f be k(3). Let j be -6*(-6)\/(-9) + 15. What is the greatest common factor of j and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + a**2 + 4*a - 1. Let m be x(-3). Let t be 1*4 - (4 - 3). Let v be -4 - -2 - 28\/(-2). Solve -t*h - h = v, h + m = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 19*k**2 - 25*k - 136. Calculate f(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-6 + 9) - (4 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 divided by -19.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2 and -91\/1558302.\nAnswer: 1558302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23572608 - -26153392. Round m to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 394 = -662. Suppose 387*b = 399*b - j. Suppose 4*t - w - 2*w - 8 = 0, -3*t + 4*w = -6. Calculate the remainder when b is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122124962 a multiple of 4840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 4*x - l, 0 = 3*x + l - 195 - 16. Suppose 0 = 2*y + x - 90. Suppose -3*h - y = 0, 5*h = -m + 2*m - 23. Solve g + m = 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + b**2 - b**2 + (3*b - b - b)*(-10 + 10 + b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m)**(-18)*(m*m*m**(-1\/3)*m)**(-3) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 27*h**3 - 32*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11003 + 10103?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*k + 7*k - 3*k)*(-2 - 1 + 5).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22961 - 20959 = -4*s + 16*s. Are s and -3659 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 29\/4 + -2 - 0. Let x be (-15)\/(-6)*(-2 + 0). Let v = x + w. Is v smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*2979\/(-21846)*5?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2134822 plus -8193?\nAnswer: -2143015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 4) to base 11\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 12. Let c = -2 - m. Suppose 0 = 5*z - c*z - 78. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 219603.3 * 6.5.\nAnswer: 1427421.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25696, -31\/6, 1\/3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 20, -m = -l - 23. Let a = -15 - l. Suppose 0 = d + a*d - 40. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*13\/(-1404)*-4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1860686 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfuuxnufffffufxf. What is prob of picking 4 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166479097 by 3.\nAnswer: 166479097\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013870605 rounded to 7 decimal places?\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -61301\/13 > -4715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16*l = 19*l - 5463, 1821 = o + 2*l. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/2 - 547131*z**3\/4 - 1367853*z**2\/4 - 1094289*z\/4 - 273573\/4 = 0. What is z?\nAnswer: -1, -1\/2, 91191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3533052 - 2?\nAnswer: -3533054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 h when four letters picked without replacement from hhffkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 470\/658*(-42)\/1\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1644\/(-27))\/4 + (-6)\/324*-12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4948 - -2680. Let k be -70*1\/3*w\/147. What is the greatest common factor of k and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -17807\nAnswer: -4\/17807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6270)\/132)\/(1\/(-2)). Suppose 3*x - 225 = x + 3*u, 5*u = x - o. Calculate the remainder when x is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o - 1. Suppose 0*l + 2*l + 8 = 0. Let b = 6 + l. Let t(g) = 1 + 2 - 2*g**b + 0. What is -q(p) - t(p)?\nAnswer: p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -8. Let m(j) = 5*j + 18. What is the tens digit of m(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*f + 7, 4*f - 2*f = u - 2. Let d = u - 2. Suppose -c + 2*a = -19, 5*a - 46 = -d*c + a. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58335804 plus -15.512?\nAnswer: 58335788.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 31*u**2 - 78*u - 41. What is n(33)?\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4 (c) 2\/15 (d) -0.058\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 10902170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 2217?\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.549 + -2.451. Is n greater than 4\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 11) to base 9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266 and 140?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42150 (base 13) in base 11?\nAnswer: -81346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 13. Let q = 1 + 5. Find the common denominator of 102\/18*q\/l and -27\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -39, -93, -147?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 299.232633 to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38.701, 116, -0.2?\nAnswer: 38.701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2298405\/135 + 38\/(-171)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 98601?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i**3 - 4*i**2 - 35*i - 18. What is the thousands digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 6*u**2 - u - 1. Let o be d(-6). Find the third derivative of -x**5 - 2*x**5 + 4*x**2 + 0*x**o wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68300 and 30?\nAnswer: 204900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**5 - 40*r**4 + 223*r**3 - 2*r**2 + 444*r - 3.\nAnswer: -60*r**2 - 960*r + 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:03 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69789.1 rounded to the nearest 1000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386710780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + m**2 + m. Let j(q) = 2*q + 1. Let k be j(-1). Let f be y(k). Suppose h - 1 = 1. Does f = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868670 is divided by 554.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 0*q**2 + 0*q**2 + (-q**4 - 4 + 4)*(4 - 3 + 3) - 8*q**4 - 18*q + 18*q.\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 + (-9990612)\/2170168. Let t = k + -1\/3523. Find the common denominator of (-174)\/(-44)*(-2)\/(-6) and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j + 1372 - 3*j**3 + 312*j**4 - 257*j**4 + j wrt j.\nAnswer: 220*j**3 - 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -2*f**3\/3 + 1. Let a be (-2 + 20)\/(4 + -2). Let m(d) = -9 + a - d**2. What is m(p(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 2. Let i be m\/(-4)*(2 + -2). Suppose -2*u - u + 33 = i. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1339*-16.7.\nAnswer: 22361.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 11 - 2)*(0*p + p - 2*p)*(-p**3 - 2*p**3 + p**3) as o*p**4 + t*p + h*p**3 + w*p**2 + u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 458, 838, 1396, 2192?\nAnswer: 3286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253725 is divided by 126850.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-4) - (2 + -1). Let g = q + 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 627600 and 11373.\nAnswer: 2379231600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406422*l - 628042*l - 144485*l - 1342590*l.\nAnswer: -2521539*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 948 - -200456?\nAnswer: 2012a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2. Let l be (-2)\/(-10) - 27\/(-15). Let z(u) = -2 + 4 - u - l. What is z(w(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 534\/5 + -107. Let g = -1249.7 - -1250. Which is the second biggest value? (a) g (b) 81 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1001071 - -1452230. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -572*h - 6375. Determine b(-13).\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 9*a + 14. Let z be s(10). Suppose -262 = -z*i - 14. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmbb when four letters picked without replacement from {m: 1, a: 1, r: 3, b: 7}.\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 - 1.4. Which is the nearest to 1? (a) 1\/3 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2. Let m = 20 - 15. Let x(q) = -2*q + 5 - m. Determine x(w(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*d - 0*j - 3*j, 0 = -5*j + 5. Suppose -4*s = -0*s - 116. What is the remainder when s is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(294)*1).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -204c5a (base 14) in base 13?\nAnswer: -2c1917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-148)\/814 - ((-666)\/33 - 0). Solve o = 19*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -980859 divided by 33?\nAnswer: -29723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -43 + 14\/((-28)\/(-18)). Which is smaller: -67\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:48 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l + 3*l. What is the third derivative of -13*h**6 - 4*h**2 + 4*h**6 + h**2 - 3*h**l wrt h?\nAnswer: -1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2378480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8686, -9890, -11892, -14686, -18266, -22626?\n\"Answer: x**3 - 405*x**2 + 4*x - 8286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301999668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/295984 and 133\/136608.\nAnswer: 1775904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca (base 16) to base 10.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-125)\/10 - -2)*40\/(-210)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v**3 + 2*v**2 + 3*v + 3. Let a(d) = d**2 + d + 1. Suppose 4*i + 47 - 35 = 0. Give i*a(q) + z(q).\nAnswer: -10*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/76 - -177\/380. Which is the second smallest value? (a) -1\/3 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1674986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164252 divided by -5.\nAnswer: 164252\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*v - 26 = 0, -17 = -4*x + 3*v + 8. Suppose x*p = 5*u + 67387 - 240652, 5*u - 3*p = 173270. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 564 + -5074\/9. Let c(g) be the first derivative of s*g**3 + 1\/3*g**2 - 6 + 0*g. Determine i, given that c(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-559)\/65 - 5 - -13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.96 * -19.8633\nAnswer: 19.068768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-8 + -9 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = 3*d, -2*d = -3*n - d + 7. Solve n*t = -3*g + t + 1, -t + 8 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:54 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5904, 5903, 5902, 5901, 5900?\n\"Answer: -f + 5905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 9496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73.99616 - 74. Round w to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)*b*b*b\/b**(-2\/5)*((b\/(b*b\/b**(-1)*b)*b)\/b)**16)**(-6) assuming b is positive.\nAnswer: b**(1383\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.39 + -99.\nAnswer: -92.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 7*o - 4*o - 11, 3*o = 2*f + 13. Let y = 9 + -11. Let p be 0 + (y - -2) + o. Solve -g - 4*g + 24 = 3*c, g - p*c + 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:14 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6060153 is divided by 318954.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 5\/12*g**4 + 1\/20*g**5 + g + 0 - 7\/6*g**3 + 7\/2*g**2. Is w(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2554*j**2 - 216*j - 9. Let q(u) = 5107*u**2 - 429*u - 17. Let b(p) = 6*q(p) - 11*x(p). Is b(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**2*y**5 + 7*j**2 + 114*j*y**4 + 4*j*y**2 wrt y.\nAnswer: -120*j**2*y**2 + 2736*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -2*g + 2*y, -9*g + 3*y + 229 = -7*g. Let a be 4\/6 + (-4)\/(-12). Let m be a\/4 + 309\/12. Calculate the highest common factor of m and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 3 + 1 + a. Let i be z(-2). What is the second derivative of -4*l**2 + 8*l**2 + i*l + l wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000169 to six dps.\nAnswer: 0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27401725 divided by 11.\nAnswer: 27401725\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 157 - -11?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 22947815?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 9*q - 28. What is c(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*w - 15. Let f = 22 - 16. What is the third derivative of 18*k**w - 17*k**f + k**2 + 8*k**2 - 3*k**2 wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28393 - -54259021\/1911. Let p be (-3231)\/(-5733)*(-110)\/6. Let n = k + p. Which is bigger: n or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - -90) + (1 - (-8)\/4) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1168284 = -3*m - m. Let t = 507929 - m. Round t to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552 (base 7) to base 8.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/10)\/(4*(-8)\/540880) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5\/3 + 80*h**4\/3 + 200*h**3\/3 - 80*h**2\/3 - 68*h = 0. Calculate h.\nAnswer: -17, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let y be 0*1\/3 - -4. Let r(d) = 2 - 3*d - 2*d + y*d. Calculate r(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70406.0821 plus -25.9?\nAnswer: -70431.9821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 2*s**2 - 13*s + 10.\nAnswer: (s - 2)*(s - 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/10 + 3*d**4\/8 - d**3\/2 - 2*d**2. Determine q so that m(q) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((sqrt(133)*-4 - sqrt(133))\/sqrt(7) - sqrt(19))) + (sqrt(76)\/(sqrt(16)\/sqrt(4)) - sqrt(19)).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**6\/360 - f**5\/24 + f**4\/6 + 4*f**3\/3 + 4. Let l(w) be the third derivative of i(w). What are the prime factors of l(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 50 + 22 - 2*m + ((182 - 12*m - 182)*(2 - 1 + 0) - 1 + 2*m + 1)*(-4 - 2 + 4) to h + j*m and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + r - 4*r. Let p(a) = -6*a**2 - 8*a - 8. Let d(t) = -2*t**2 - 3*t - 3. Let m(g) = -8*d(g) + 3*p(g). Determine m(s(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-6))\/5*(-119)\/28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 15. Let q be w(-12). Let v be (0 - -12)\/q - 20. Let z be (-42)\/(-80) + 2\/v. Which is the nearest to z? (a) -5 (b) 0 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 22 = -2*a, 12 - 4 = 4*a. Let o be (-4)\/(-4 + -1 + x). Sort -5, 5, 0, o.\nAnswer: -5, o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/294 and -61\/39665402.\nAnswer: 118996206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -21027 and -21025 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -2, 2\/19, -21\/61?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2022537?\nAnswer: 3, 11, 167, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*z + 3*z. Which is smaller: 4 or z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2587016 or 2587011?\nAnswer: 2587011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/11)*(a*a\/(a\/(a\/(((a\/a**(-3))\/a)\/a*a)*a)))\/a*a**(2\/37)\/((a**(12\/11)*a)\/a*a))**25 assuming a is positive.\nAnswer: a**(-36450\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3957 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 949902, 949890, 949882, 949878, 949878, 949882, 949890?\n\"Answer: 2*s**2 - 18*s + 949918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + b + 4*b - 14*b**3 - 6*b to the form k + l*b + s*b**3 + j*b**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/156*2\/((-6)\/9).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154577193?\nAnswer: 3, 51525731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*l**3 + 14*l**3 + 5*l**3 + (l + 2*l**2 - l)*(3*l - 3*l + l) - 65 + 65 + 8*l**3.\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 37*d**2 - 38*d + 12. Determine t(-38).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 6*p**2 + 32*p + 17. What is the units digit of c(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23234 - 15218. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11626 not equal to -11626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40444 (base 8) in base 4?\nAnswer: -10010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.24 - 1.2399853. What is v rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 2. Let p be u(2). Suppose 1 + 7 = p*j. Solve -5*d = -j*z - 22, 3*z - 2*z + 5*d - 19 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n - 19*n + 29*n)*(-17 - 40 - 20 - 28) + (-3 + 2 + 3)*(-2*n + 2*n - 2*n).\nAnswer: -2944*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 5. List the prime factors of a\/(1 - (-4)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027887?\nAnswer: 3, 7, 48947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1146*x - 1447*x = -855*x - 52140 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2381, -54152, -3 in descending order.\nAnswer: 2381, -3, -54152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -4*x + 5*w + 12, -5*x = w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2402044 (base 5) to base 2\nAnswer: -1010101111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296020343 to the power of 1\/2, to the nearest integer?\nAnswer: 17205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 2040?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 54. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 909491*s**3 + 7104109?\nAnswer: 2728473*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Suppose 10 = j*f + 2*s + 2, -5*s = -f + 4. Solve 12 = z - f*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 3:52 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79464 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) + -2) - (sqrt(104)*-2)\/sqrt(8).\nAnswer: -12 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 25595279 and 76785839\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 3096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -134. Suppose -4*b - 5*m + 132 = 0, -6*b - 2*m + 82 + 94 = 0. What is the remainder when a is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 9 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2418 - -2426. What is the nearest to -1 in 5, -0.1, b, -2.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10 - ((-126)\/(-40))\/(-7). What is the nearest to j in 2\/7, -2, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**4 + 0*c**4 - 3*c - c**2 - c**4 + 5*c as b*c**3 + i + g*c + t*c**4 + a*c**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 204552920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -3, -0.383, 0.9, -2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*j**3 + 72961392*c*j**2 + 69244*c - j**5 - 216*j wrt j?\nAnswer: -6*c*j + 145922784*c - 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + 3 - r**2 - 4 + (-2*r + 6*r - 3*r)*(17*r - 4*r - r)*(12 - 24 + 14) to z + c*r**2 + k*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**3 + 4*x**2 - x + 2. Let u(z) = 36*z**3 - 20*z**2 + 6*z - 11. Give -11*f(r) - 2*u(r).\nAnswer: 5*r**3 - 4*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 + -105. Which is the closest to 0? (a) 0 (b) t (c) -1 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -3 (c) 0.16 (d) 3\/11006 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156) + 6*(sqrt(156) + sqrt(156)*-2) - sqrt(156) - (sqrt(156) - 3*1*sqrt(156) - sqrt(156))))\/(-5*((sqrt(168)*1)\/sqrt(7))\/sqrt(2)).\nAnswer: -9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 23. Suppose -i + c = -0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k + 7. Does 8 divide j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*c + 300 + 18, 4*u = 5*c + 1247. Let o = u + -3441\/11. Factor 4\/11*n**4 + 2\/11*n + 0 - o*n**5 + 0*n**3 - 4\/11*n**2.\nAnswer: -2*n*(n - 1)**3*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*g**3 + 25*g**3 - 76*g**3 + (3*g - 2*g - 1 - 10*g)*(9*g - g - g**2 + 2*g**2).\nAnswer: -93*g**3 - 73*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 257 = r, -41 + 16 = -5*m. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27722*z + 55396*z - 27700*z.\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -27*m**3 + 3*m - 1. Let j(p) = -p + 1. Calculate 3*j(i) + v(i).\nAnswer: -27*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -7*m**4\/12 - 47*m**3\/6 + 2167*m**2\/2 + 2384*m. What is the first derivative of i(v) wrt v?\nAnswer: -14*v - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -49. Let z = 51.0574 + r. What is z rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7*t + 80. Suppose -3 = -4*v + 2*l + 13, 0 = -4*v + 3*l + t. Solve 2*x - 3*x = -3*b - 4, v*b = 3*x - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5392 + 5397. Which is the closest to -0.2? (a) j (b) 0.5 (c) 9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + 4 + -3 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/11888 and 133\/128976.\nAnswer: 95829168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:44 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*x**3\/4 - 5527*x**2\/4 + 1370*x + 33.\nAnswer: -(x - 1)*(x + 66)*(85*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = x - 5*z, -12*x + 10*x - 10 = 5*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f + 2*f - 5*f)*(-2 - 1 + 2) + (5 - 24 - 1)*(4 - 2 + 2)*(-1 + 1 - f).\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 + 6\/(-21). Let s(f) = -4*f**3 + 4*f**2 + 15*f - 9. Let j be s(5). Let i = j - -5680\/17. Do t and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 96. Solve 4*o + n = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*z - 24*z**3 + 53*z**3 - 19*z wrt z.\nAnswer: 174*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 + (6 - (16 - 0)) + 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((48\/(-28))\/6)\/((-34)\/1547)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -537?\nAnswer: 536.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1282*a**3 - 4*a + 5. Let x be d(1). Is -1283 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)*d\/d**(1\/10))\/((d*d*d**(5\/4)*d)\/d**2) assuming d is positive.\nAnswer: d**(-167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*j**3 + 28*j**2 - 37*j**2 - 3 as c + h*j + r*j**3 + l*j**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 4*y + y. Let b(d) = 18*d - 7*d - 13*d. Give b(g(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -8)*(-3)\/6. Solve -2*g = -4*a + a + 2, -2*a + 4*g = -x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -100, -322, -740, -1420, -2428, -3830?\nAnswer: -5692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 2207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + 0*d**5 + 3*d**5 + (-3*d**2 - d**3 + 3*d**2)*(-2*d**2 + 3*d - 3*d) - 32*d**5 - 31*d**5 + 55*d**5.\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 987785661?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2036046791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 147, 592, 1333, 2370, 3703, 5332?\n\"Answer: 148*f**2 + f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v = -8836 + 9088 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0*j**2 + 0 + 0*j**4 + 0*j**5 + 10*j + 7\/6*j**3 + 1\/6*j**6. Find the second derivative of g(h) wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 20 + 9 - k**2.\nAnswer: -k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -4*a + 50. Let x(q) be the first derivative of -a*q**2 + 12*q**2 + 4 - 11*q**2. Let f(l) = -3*l**2. Determine x(f(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164697 is divided by 862?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0 + 1\/2*a**4 - 1\/20*a**5 - 6*a**2 - 2*a**3 + 0*a. Factor f(q).\nAnswer: -3*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n - 71 + 197 = 0. Let y(s) be the second derivative of 0 - 2\/3*s**2 - 17\/9*s**n - 12*s - 5\/6*s**4. Factor y(x).\nAnswer: -2*(x + 1)*(15*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 2, r: 7}. Give prob of picking 1 f, 2 r, and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.1 + -1.1. Let i = 16441.64 + -16447.639844. Let l = i + b. Round l to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2391 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2. Let b(n) = -13*n**2 - 9*n + 9. Let l(r) = 6*r**2 + 4*r - 4. Let c(y) = -4*b(y) - 9*l(y). Calculate w(c(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 + -2.5. Put b, 2\/3, -4 in descending order.\nAnswer: 2\/3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1280 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82 + 176049?\nAnswer: 1760cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*6\/75 - (-1058)\/(-1150). Which is the closest to 0.3? (a) w (b) -2\/13 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/7 + 10*x**2 - 750*x\/7 + 2250\/7 = 0?\nAnswer: 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4585 = -529*y + 398*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r - 48. Let s be j(6). Let q(a) = -a - 2. Does 4 divide q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:07 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + 41. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205119\/7 - -29305. Determine k so that 2\/7*k**2 + p*k + 32\/7 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**3. Let u(z) = 5*z**3. What is 4*m(p) - 6*u(p)?\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 367121*t - 14. Let d(k) = 36*k. Calculate d(h(z)).\nAnswer: -72*z**2 - 13216356*z - 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, c: 1, i: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 1\/3*g**3 + 10 - 3*g**2 + 2*g. Let k be o(6). Solve k*c = -2*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -325170, -2601296, -8779330, -20810226, -40644938?\n\"Answer: -325159*i**3 - 13*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3918, 3945, 3972?\nAnswer: 3999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-56)\/(-32))\/7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 110011010110101?\nAnswer: 110011010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-72)\/10)\/((-21)\/70). Let v = z - -22. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10841017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (6 - (5 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.08, 0.1 in descending order.\nAnswer: 0.1, -0.08, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002608079 rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 + 38. Let s = k + 45.99858. What is s rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111322 (base 4) in base 16?\nAnswer: -1457a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, t: 1, g: 2, d: 5, u: 1, b: 2}. What is prob of sequence bqb?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/(-30) + 1\/(50\/435). Suppose -j - 1\/5*x**2 - 12\/5*x = 0. Calculate x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 10. Let h = o - 23. Let l be 2 + 2*-1 - 1. Which is the closest to h? (a) -0.3 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2677242 is divided by 814?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/130 + (-1090)\/(-25)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 1. Let j be l(4). Let z be 21\/j - 1 - 1. Let w = 13 - z. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 26488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - (33 + (-23 - -2) + (-2 - -2) + -6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -929*v**4 + v**3 + 30*v**2 + 27125 wrt v?\nAnswer: -3716*v**3 + 3*v**2 + 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3.7. Let w = 39.16 - 37.16. Which is the nearest to z? (a) 4\/5 (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + m. Let d(f) = -f + 5. Let h be d(4). Let a be l(h). Calculate the common denominator of -55\/9 and (-2)\/(0 + a - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 10. What is the lowest common multiple of ((-3)\/(-2))\/(9\/48) and c + 1 + 1*-2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - 9*n**2 - 4*n + 3. Let z be d(5). Suppose z*h - 804 + 28 = 0. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 912*z**2 - 3684*z + 1838. Determine h(460).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 - 44215*q**4 + 25*q**3 + 3*q**2 + 203455?\nAnswer: 120*q**2 - 1061160*q + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 6*h**2 + h - 6. Let o be (16\/6)\/8*87. Let f = -34 + o. Let i(g) = -g**3 - 4*g**2 + 5*g - 6. Let r be i(f). What is w(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {l: 1, i: 1, w: 5, f: 6, q: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j + 65 = 5*s, -25 = -j + 5*s. Let m = j + -35. Solve 11*r = m*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (4 - (18 + (-46 - -19) - -15))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - -67. Which is smaller: j or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3740 = -14*w + 13*w - i, -5*w + 18700 = 3*i. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100111111000010 (base 2) to base 16.\nAnswer: -4cfc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*x + 12, -5*g + 0*x = -3*x + 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 102 - 3 = 37*c. Let z(f) be the third derivative of -f**5\/30 - 7*f**4\/24 - f**3\/3 - 32*f**2. Let q(i) = -i**2 - 3*i - 1. What is c*z(g) - 7*q(g)?\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -26, 3, -1\/4, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18949, 17843, 16769, 15727, 14717, 13739?\n\"Answer: 16*h**2 - 1154*h + 20087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -14200.7 to the nearest one hundred.\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (23 + -78 - -46).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 + 985150*m + 48526026125 = 0.\nAnswer: -98515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -13*q + 52, 252*m - q = 249*m - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828103 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Suppose 0 = 4*n - 2*p - 8, n + p - 2 = -0*n. Let l(m) = 4*m**2 - 33*m**2 - 4*m**n - 20*m**2. Give l(o(r)).\nAnswer: -53*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 374, 995, 1906, 3107?\n\"Answer: 145*o**2 - 104*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4838 and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqf when three letters picked without replacement from dfphphxpfdqfpfpdpphp.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a. Solve a = -0*h + 3*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/4 of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (16 + -13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to -2165.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 25 = 10*o + 4*h, -3*o + 5*h = 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 12*l + 6. Suppose -2*m = 2*m + 48. Let g be q(m). Let x(p) = 3*p - 5 + 0*p - 2*p. Give x(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3)\/2*-24. Let k be ((-6)\/18)\/((-1)\/h). Suppose 0 = -s + k*s - 33. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - v - 1. Let i(n) = n**3 + 2*n**2 + 4*n + 1. Let c = -14 - -16. Give c*s(a) + i(a).\nAnswer: a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcchfh. Give prob of sequence ff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4*n = 28. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 5. Suppose u + 4 = 9. Let p be o(u). Solve -z + 2*t + 2*t - 21 = 0, -p*z = -2*t + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18674 - 18676. Let s(x) = x**2 - 7*x - 5. Let q be s(6). Let v = q + 7. Put -1, v, n in descending order.\nAnswer: -1, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 4*u - 1. Let j be h(-4). Let a be (7 + 90\/(-12))\/(j\/(-2)). Is 3 - ((a + 2 - 1) + -391) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10449641 and 5473.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/9 + 16\/(-72).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21170998, -21171014, -21171030, -21171046, -21171062, -21171078?\n\"Answer: -16*t - 21170982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16655927 and -7392?\nAnswer: 16663319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*s**2 - 14 + 161155*s**3 + 2*s**5 - 161155*s**3 + (2*s**4 + 2*s**4 - 3*s**4)*(2 - s - 2).\nAnswer: s**5 + 17*s**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 90 - 15 = 0. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -144854 at least -757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m + 1 = -b, m = 5*b - 17. Suppose -2*h + b*h - 3*p + 20 = 0, -2*h + 5*p - 37 = 0. Let y = h + 16. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 73 + 3*i + i**3 - 3*i**2 + 3*i**3 - 3*i**3 + 2*i**2. List the prime factors of t(0).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4 + -4 + 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*i + 25 - 8*i**2 + 15*i - 23 as z + h*i + d*i**2 and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*s = -37 + 4, 4*k + 15 = -3*s. Let a be k\/(-2)*(-24000)\/18. What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23581932?\nAnswer: 2, 3, 11, 109, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2.4 (b) -3 (c) 0 (d) -13 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -84. What is the remainder when m is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -177, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 187778 take away -0.4?\nAnswer: 187778.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 43*z + 10. Is a(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 2\/7, 741\/37?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-3)\/30*236. Suppose 4*w - 3*w = 71. Let i = z - w. Put i, -0.4, 2 in increasing order.\nAnswer: -0.4, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18773 is divided by 18712.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 10 = -4*n. Suppose -75 + 5 = n*u. Let l be ((-4)\/6)\/(u\/84). What is the second biggest value in -1, -3, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwhwrrrwww. Give prob of picking 1 r, 2 w, and 1 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*x - 9 = 0, -2*x + 3 = -x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4740498 is divided by 517.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.07 (b) 5 (c) 12\/11 (d) 0.4 (e) 242 (f) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/7 - 1590*d**4\/7 - 310372*d**3\/7 + 2252804*d**2\/7 + 310374*d\/7 - 321602 = 0. What is d?\nAnswer: -401, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - 3) + (10 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -1\/3, 5, -1, 122875.\nAnswer: -2, -1, -1\/3, 0.2, 5, 122875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let h = -3.299998 - -3.3. Let t = r + h. Round t to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*h + 3*a, 4*h - a + 0 = 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**7)\/v)\/((v*v*v**(2\/13)*v)\/v*v) assuming v is positive.\nAnswer: v**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4 + (9 - 10 + 14)*(1 - 1 - 1))*(0*w - 5*w + 2*w) + 2*w + 0*w - 4*w.\nAnswer: 40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b - 33*b - 20*b + 160976*b**3 - 160977*b**3.\nAnswer: -b**3 - 81*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:02 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 42 = 22. Let x = -18 - g. Suppose -x*d - 1010 = -4*w - d, 5*w = d + 1263. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 12, -4, 30, 161.\nAnswer: -41, -4, 12, 30, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - 3 - 0\/2. Let d = z + -7. What is the units digit of (-6)\/d + 2\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-22)\/77)\/((-2)\/37205)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 20. Suppose 5*t = -2*u - 13, -3*u + 9 + l = -5*t. Suppose -m = -u*m + 225. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3641718 and 804?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -102. Suppose 3*x - 154 = -h. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pssp when four letters picked without replacement from {p: 14, s: 5}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 2*d**2 - 23*d + 5294. What is the tens digit of p(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3 - 1)\/(250 - 22770\/92)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612 and 254170?\nAnswer: 77776020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*h + 11, -3*a + 2*h - h + 8 = 0. Let c = -35.6 - -36. Sort a, -5, c in decreasing order.\nAnswer: a, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3989 - -4004. Let x be 1\/(-1 - 8\/(-10)). Let s(f) = -f**2 - 7*f - 4. What is the remainder when u is divided by s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + 13*n**2 + 4*n**2 - n**2.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -296 - -300. Let j(n) = 7*n + 5. Let l(v) = -3*v - 2. Let x(w) = 2*j(w) + 5*l(w). Calculate x(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 + 147. Let p = 52 - b. Sort p, -2\/19, 10 in decreasing order.\nAnswer: 10, p, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13 - 3)*(-7)\/(-14). Suppose b*p = 2*v + 466, 0*p - 2*v = p - 86. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2787?\nAnswer: 1\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1473, -2364, -3937, -6192?\n\"Answer: -341*h**2 + 132*h - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b158b0 - 5?\nAnswer: -2b158b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 148, 157, 178, 217, 280, 373?\n\"Answer: o**3 + 2*o + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3\/5 (b) -11 (c) 1\/130 (d) 2 (e) -1\/4 (f) 0.1 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*x + 6, 5*w = 8*x - 11*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g + 4*r - 1, 3*g + 4*r = 19. Let a(p) = p**3 - 9*p**2 + 9*p + 13. Let f be a(g). Let h = f - 66. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by 38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01052951001 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2518*-14.7\nAnswer: -37014.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-152)\/(-228) - 3\/((-18)\/8). Suppose -2*j - g*i = -330, -15*i = -j - 14*i + 173. Is 170 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66204 = 832*x + 1620*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5082) + (6*sqrt(5082) - sqrt(5082)))*1)\/((sqrt(12) - sqrt(432)*2 - sqrt(12))\/sqrt(288)).\nAnswer: 330*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -32.99961. Round g to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 654*j**5\/5 - 3*j**2\/2 - 196*j + 664. Find the second derivative of o(g) wrt g.\nAnswer: 7848*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Let n(y) = -5*y**3 + 2*y**2 - 1. Let f be n(-1). Let l(j) = -j + 4. Let z be l(f). Put v, z, 0 in increasing order.\nAnswer: z, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -5*b**3\/3 + b. Let m(c) = c**2 - 6*c. Let y(t) = t**2 - 7*t. Let w(u) = 7*m(u) - 6*y(u). Calculate p(w(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -2998468221246\nAnswer: 2998468221226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**5 + 12*i**4 + 3*i**3 - 2. Suppose -24 = -5*d - 14. Let h(q) = -35*q**5 - 145*q**4 - 35*q**3 + 25. Let n(m) = d*h(m) + 25*r(m). Factor n(t).\nAnswer: 5*t**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(-1)\/(-3))\/(1\/(-6)). Let x(c) = 3 + c**2 - 20*c + 0*c**v + 14*c. Give x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -2*y + 20, 4*y - 18 = l + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70013289439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0348 and 285?\nAnswer: 9.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 306520*t + 612979. Calculate k(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-2))\/(-15) - (-20)\/(-25). Let u be 1\/(-3) + (-4)\/(-30). Let m = -2 - -3. Which is the nearest to n? (a) m (b) u (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42335, -84673, -127011, -169349, -211687, -254025?\nAnswer: -296363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3a0d0 (base 16) to base 9\nAnswer: -402145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8)\/(n*(n*n**(-1\/10))\/n)*(n**(-6)*n)**32)**(3\/13) assuming n is positive.\nAnswer: n**(-19263\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -104\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 2, -1 in descending order.\nAnswer: 25, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352933 is divided by 384.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:05 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 110. What is the second smallest value in -2\/5, b, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5 - 17. Let f be (3 + 15\/(-10))\/(9\/24). Suppose -h + f*o + 20 = 2*h, 0 = 3*o + g. Solve 2*z + 10 = h*z, 3*m = z - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -3\/2, 14, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(20)\/sqrt(2)) - (-4 + (-1*sqrt(13))**2))*3.\nAnswer: -27 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxuxxxxxxxxxxxxxxx. Give prob of picking 2 x.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**3 + 11*a**2 + 11*a + 14. Let p(n) = -11*n**3 - 12*n**2 - 12*n - 15. Let y(q) = 5*p(q) + 6*v(q). Let k be y(7). Solve 3*c = -4 - k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1185*o - 735*o + 1922*o - 15.\nAnswer: 2*o - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 14*d - 13. Let k be s(15). Let z(x) = x + x**k + 7 - 2 - 33 + 12. Calculate z(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 5:09 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 23 = -3*t. Solve 5*v = -w - 8, -v + t*v + 20 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b. Let d(g) be the third derivative of -7*g**4\/24 - g**3\/2 - 1792*g**2. What is i(d(m))?\nAnswer: 35*m + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2147 = -45*o + 1627 + 1645 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0694 * -0.31\nAnswer: -0.021514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2621\/393760 + 1\/2461. Let t = 487\/1120 + r. Let p = -3.5 + 3. Which is the third smallest value? (a) p (b) 4 (c) -0.1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 714 and 142698?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11450 - -11454. Let s(n) = n**3 + 5*n**2 - n - 7. Give s(d).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14176, -28037, -41894, -55747, -69596, -83441?\nAnswer: -97282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 197.30611 and 0.4.\nAnswer: 78.922444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*i + 4*f, 43 = -2*i - 5*f + 48 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30112 + -10?\nAnswer: 30102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (60\/(-28))\/(-5)*14\/4. Which is the closest to 1\/4? (a) -0.1 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1359?\nAnswer: 135c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 8. Let l be (4 + w)*(-6 - -1). Solve -l*q = 2*t + 9, 6 = -3*t - 0*t - 5*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22 - 27.0342.\nAnswer: -27.2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -213*d**3\/5 - 84776*d**2\/5 - 253201*d\/5 - 474 = 0.\nAnswer: -395, -3, -2\/213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04476 * 0.3.\nAnswer: -0.013428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68972556?\nAnswer: 2, 3, 29, 198197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*n**2 - 4953565*n - 1981430.\nAnswer: 5*(n - 198143)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 132 = 3*x - 0*x, 4*z - 3*x - 171 = 0. Calculate the remainder when 194 is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 - 3*k)*(-5*k**3 - 5*k**3 - 5*k**3).\nAnswer: 45*k**4 + 30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/7)\/u**(3\/5)*(u**(2\/7))**(-5\/9)*((u\/(u*(u*u*u**(-2\/15)\/u*u)\/u))\/u**10)**45 assuming u is positive.\nAnswer: u**(-154409\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/42)\/((-18)\/(-56))*(-6)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 5:42 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/7)\/((-116)\/812). Suppose -4*c - 37 = -5*b, 3*b - 7*b + 23 = -c. Solve -b*j = -t*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26700 and 25.\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1019*s - 29571. Give f(29).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 9, -929, 2\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.749 - 0.429. What is the fourth biggest value in 4, -1\/2, d, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + (-32 + 32 - (8 - -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -v, -3*j - j - 4*v = -2*j - 3*j - 20 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 35201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412423 (base 5) in base 4?\nAnswer: -13012321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**(-8))))\/n*n\/(((n*n*(n**0\/n)\/n)\/n*n)\/n*n))\/((n*n**14)\/n**(5\/4)) assuming n is positive.\nAnswer: n**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1968 divided by 123\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18374.\nAnswer: 2, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2293 - 989 - 1001)*(4*y**2 + 2*y**2 - 4*y**2).\nAnswer: 606*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2*38\/24. Let p = -14.2 - -14. Let d = -0.1 - p. What is the closest to d in 0.5, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 5*g - 2. Let b be q(-3). Suppose -b*f + 6*f = 0. Solve -3*o - 2 = -2*s, 2*s + o + 4 + 2 = f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 409, 0.06, 4, -2\/419 in decreasing order.\nAnswer: 409, 4, 0.06, -2\/419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113758 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -4.1. Let l be ((-4)\/14)\/(1 + -3). What is the nearest to -2\/7 in -2\/17, g, l?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -12, 2\/3, -26, -21, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/11041 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*z + 32*z + 460. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1452 + -951. Let g = n + 19. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k**3 + 11*k**2 - 12. Suppose 4*y - 3*m = -y + 20, -20 = -5*y - 4*m. Let w(i) = -5*i**3 - 5*i**2 + 6. Let p(u) = y*g(u) + 9*w(u). Give p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 + 31*w - 36*w + 5*w.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-20) + 103\/2. Let v = c + -30. Calculate the greatest common factor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + a + 5 = -1, 2*a = -3*m + 23. Solve 3*y - g + m = 0, -5*y - 2*g = -12 + 35 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 10*m - 2. Let a be k(10). Suppose 5*x = -3*r - 63, -x - 32 = 2*x - 4*r. List the prime factors of a\/(-6) + (-32)\/x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c - 6*c + 13*c. Let v(b) = 21*b**2. Calculate v(o(l)).\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 290441190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, 73, 213?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4275)\/(-36))\/(-19)*-4. Let h be (1 - 3)\/(2\/8). Let t = l + h. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49142 or 49150?\nAnswer: 49150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 8 = -w. Let s be 21588\/w - (-1)\/2. What is s rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161723239*f**4 + 1325336091*f wrt f?\nAnswer: 1940678868*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181753\/58 - 3134. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 + 48*n**4 - 378*n**3 + 972*n**2 = 0.\nAnswer: 0, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjgjgjjj. What is prob of sequence ggjj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 645093.\nAnswer: 645092.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*j - 494*j - 24 = -2*c, -4*c = j - 21 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) 2 (c) -5 (d) 4 (e) -180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3\/2, -56, 0.04, 3\/7, 0.49?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/13, 4, -6\/5, 1.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 246015 (base 7) to base 8\nAnswer: 130350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20475, 40891, 61307, 81723, 102139, 122555?\n\"Answer: 20416*j + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1707 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -707.774 + -22\nAnswer: -729.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 483995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1692)\/(-54) + -18 + (-2)\/(-3). Solve -6*u = u + b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5252 (base 9) to base 5\nAnswer: 110404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {m: 9, b: 9}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/7952 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 252031188 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -45. Suppose 3*x = -o*l + 24, 0 = -4*l + x + 16 + 6. Solve 0 = -l*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 + 34. Let p be s\/3 + (-1)\/3. List the prime factors of 5\/20 - 118\/p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5754.3 less than -196?\nAnswer: 5558.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6075963360.\nAnswer: 2, 3, 5, 23, 61151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 52177310?\nAnswer: 104354620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52980300 divided by 13690.\nAnswer: -3870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-1)\/(16\/(-160)) - 121\/13)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 44 = -8*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13444*v**3 + 9335*v?\nAnswer: 80664*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103094 (base 10) in base 4?\nAnswer: -121022312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 40*x**2 - x + 45. Let r be k(40). Let o = -23 + 22. Put o, -7, r, -2 in descending order.\nAnswer: r, o, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32091, -2, -5 in descending order.\nAnswer: 32091, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**4\/3 + v**3\/6 - 5*v. Give n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bss when three letters picked without replacement from {s: 2, m: 4, b: 7, h: 1, j: 4, y: 2}.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1279 - -1270)*5*1\/3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 179 + 188 = 0. Let q(d) = 8*d + 3. Let p be q(-6). Let m = 117 + p. Calculate the highest common factor of y and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -40*i**2 + 52*i - 1. Let r be j(2). Which is the second smallest value? (a) r (b) -2.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:10 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4)\/i)\/i*i)\/(i*i**1\/i)*i**(-3\/4)\/i**(-2))\/((i**(-1\/2))**(-18))**20 assuming i is positive.\nAnswer: i**(-739\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/336 and 197\/312312.\nAnswer: 624624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**3*o*w**3 + 11*g**3 + g**2*w**3 - 2*g*o*w**3 - 11*g*o*w + 9*w**3 wrt g.\nAnswer: -18*g*o*w**3 + 66*g + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157468346 a multiple of 4247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.332 rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -13. Suppose -v*h + 5*h = -4. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3))**(12\/13) assuming x is positive.\nAnswer: x**(-16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 583 + -581. What is the second derivative of 13*z + 3 - 14*z + 0*z - 4*z**5 - 14*z**4 - q*z**5 + 5*z**5 wrt z?\nAnswer: -20*z**3 - 168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Let v = -1.94 - 0.06. Let k = 6.15 - 5.95. Which is the nearest to k? (a) y (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -5*d + 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.02+-7\nAnswer: -9.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t - 785 = 44*t + 31*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.06544 centimeters to kilometers.\nAnswer: 0.0009306544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(9)*1)\/(sqrt(33)\/sqrt(396))*-3)**2*2.\nAnswer: 69984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -4*u**3\/3 - 6*u**2 - 8*u - 34. Let a(q) = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9130, -2, 45.801 in increasing order.\nAnswer: -2, 45.801, 9130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.022 + -0.041. Let q = r - 0.937. Suppose -4*j - 70 = 4*k - 2*k, 3*k + 2*j = -85. Does q = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 3, -1, 168 in increasing order.\nAnswer: -4, -1, 0, 3, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c - 7. Let u be x(2). Suppose 32*a - u*a = 6. Let k(m) = 3*m**2 + 7*m - 1. Is k(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1155596813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -100\nAnswer: -37\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3940 divide 907539600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/69 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2999*t**2 - 4 - 3001*t**2 - 2989*t**2 + 8987*t**2.\nAnswer: -2*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/4 - 1\/(-4). Let x = -9 - -13. What are the prime factors of 18\/p + (-2)\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(224) - (sqrt(224)*1*6 + sqrt(224) + sqrt(224)))\/(sqrt(1008)*1 - sqrt(63)*-3)*6.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5380614, -10761229, -16141844?\n\"Answer: -5380615*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 18*i - 6. Give g(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031 divided by -4?\nAnswer: -2031\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14656891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 4*a**2 + 4. Let o be l(4). Let q(s) = 15*s**2 - 5*s + 2. Let n be q(o). Suppose -6*f = -0*f - n. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1 + -58.9. Let k = -61 - c. What is the nearest to -2 in 1\/4, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {h: 2, g: 3, b: 2, q: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-10) - (-2)\/(-10))\/(4755\/(-1268)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from svyvvssv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 7. Let m(w) = -899156*w. What is m(t(l))?\nAnswer: 1798312*l**2 - 6294092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*j - 14 - 42, -2*l + j = 20. Let v be l\/1 - (-3 + 2). Let n = v + 15. Solve -k + 25 = n*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/63 + 92*(-1)\/525. Which is the closest to -0.2? (a) -0.3 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30880 is divided by 145.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o**2 - 1218*o + 1136. Calculate n(86).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3505*z + 96202 + 55795 - 18807 = 0 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -14, 5, 6, 2 in decreasing order.\nAnswer: 6, 5, 4, 2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1383*y**3 + 2787*y**3 - 1334*y**3)*(-4 + 3 - 1)*(-y + 3 - 3) to a*y**3 + t*y**2 + p*y**4 + z + o*y and give p.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = f + 6. Let g be 502\/(-4) - 6\/f. Is 0 + 2\/1 - g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*f - 2*a + 12, -2*f + 3*a - 13 = 0. Let r(v) = v. Let h(u) = 5*u - 2. Give f*h(c) - 2*r(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 4*k + 6. Suppose 1 = 2*d - 11. Let i(v) = 6*v**2 - 7*v - 9. Let z(a) = -a**2 + a + 1. Let w(x) = i(x) + 4*z(x). Calculate d*w(j) + 5*n(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(1100).\nAnswer: -3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 5*m - 7. Let k(d) = d**2 - 5*d - 2. Let y(q) = -2*q**2 + 6*q + 1. Let z(s) = -3*k(s) - 2*y(s). Determine -4*f(i) - 7*z(i).\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1 - -1) - 1. Suppose 0 = -136*o + 145*o + 18. What is the nearest to 0.1 in o, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*a**2 + 244*a**2 + 138*a**2 + 1550*a**2 - 279*a**2.\nAnswer: 1939*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5 - (-216)\/60. Suppose -v - 2*n + 1 = -n, -12 = f*n. Suppose 3*k - 5*k = -v. Solve -k*r = -3 - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -10 + (16 - (40 + -17))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcrc when four letters picked without replacement from {r: 7, c: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 6*c**2 + 7*c + 10. Suppose -124*q - 86*q = -54*q + 1092. Determine r(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17310 (base 11) to base 3.\nAnswer: 1020101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.93 less than 3?\nAnswer: 8.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*a - 3478 + 3806 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2031697cm to kilometers.\nAnswer: 0.000002031697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003849873 to 5 dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = 4. Suppose -3*i = i + 2*n - u, 5*i + 2*n - 4 = 0. What is the derivative of 1 + c**3 - 2*c + 0*c**3 + i*c wrt c?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) + 94\/188. What is the hundreds digit of (t\/(-3))\/((-64)\/(-288)) - -1852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893 + (-10 + 14 - (5 - 1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.7112 nanograms to kilograms.\nAnswer: 0.0000000000467112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:10 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*i = 7*t - 17, 14*i - 86 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2135140 and 533785?\nAnswer: 2135140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 173, 592, 1281, 2234, 3445?\n\"Answer: -k**3 + 141*k**2 + 3*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471858237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.53863\nAnswer: -0.53863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 885527220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1, -2\/445?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48\/5 of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51633 (base 14) to base 9.\nAnswer: -327827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 23.1. Let v = m + 2. Which is the closest to v? (a) -0.1 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 - 173. Let a(k) = -4*k**2 + 4*k - 2. What is a(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*p - 95*p = 703. Suppose 6*h + 11 = -p. Let k(s) = -s**2 + 3*s - 8. Let l(d) = d**2 - 2*d + 5. Determine h*l(o) - 5*k(o).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195124*a**2*o**3 - 21*a**2 - 1098*a*o + 2*o**4 wrt o?\nAnswer: -1170744*a**2*o + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74 - -4438?\nAnswer: 4523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.06, 1877 in descending order.\nAnswer: 1877, 0, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 141\/27 + 2\/(-9) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211973 take away -0.29?\nAnswer: -211972.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 2207 = 2*m + 2237, 4*n = 5*m + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 3, -68, 3\/2, 3\/64.\nAnswer: -68, -2, 3\/64, 3\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*b**3 + 54 + 6*b - 27\/2*b**2.\nAnswer: -3*(b - 2)*(b + 2)*(b + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(14 - (-5175)\/(-368)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 19*m + 7. Let u(v) = 1. Give -o(d) + 6*u(d).\nAnswer: -19*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1164.000463 + 1164. What is l rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(-7 + 5). Solve -2*r - 3 = q, 5*m + r - 22 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 100 = -2*x. Solve -2*g = 5*v + x, 5*g - 2*g - 21 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/10 + 108\/(-20). Let x = g - -3. Let q = x + 17. Solve -3*c = -5*w - q, 0 = -c + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -588 + 1333. What is the units digit of f + (-7)\/(-7 - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5977, 5721, 5465?\n\"Answer: -256*m + 6233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 8. Let b be w(-7). Let a be (3 - b) + -5 + 1. Sort a, -4, -10 in increasing order.\nAnswer: -10, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/249 and -67\/145167?\nAnswer: 145167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * -58.28.\nAnswer: -1515.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768 = -67*q + 163*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -53852093?\nAnswer: 1\/53852093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) + 1) - (sqrt(1088) + 2).\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4) + 4)*5 + -5.\nAnswer: 15 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 121657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + 600 - 1195. Suppose 0 = 3*s - t - k, -23*t + 28*t - 145 = -4*s. Solve s = -4*d - 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-21)*6\/4. Suppose 4*a - 24 = z*a + 5*f, 5*a + 3*f - 60 = 0. Does 16 divide 578\/a + (-10)\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/13 (b) -3 (c) 1407\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.9 - -42. Let n = 25 - 28. Let u = i - n. Put u, -10, -0.2 in increasing order.\nAnswer: -10, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + 24. Suppose 8 = q - 2*a, 3 = 2*a - 1. Calculate the remainder when d is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 1780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 144 = 37*a. Let p(f) be the third derivative of 0 - 1\/8*f**4 + 0*f**3 - a*f**2 + 1\/6*f**5 + 0*f. What is the second derivative of p(g) wrt g?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 467658?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 12)*((-10)\/4)\/(-5). Suppose -5*t = -s*t - 3. List the prime factors of 59 + (t - (-6 + 1)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 14}. What is prob of picking 4 a?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1829389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**6\/24 - 9*j**5\/20 - 21*j**4\/16 - 11*j**3\/12 + 367. Factor a(b).\nAnswer: b**2*(b - 11)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-2 + 0 + 4*(0 + sqrt(171))**2 - (-1 + sqrt(171))*-2*-1.\nAnswer: -12*sqrt(19) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**2 - 7*v**2 - 26*v**2)*(v - 3*v + v).\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-18)*2\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l + 6. Let m be 3*6\/(-108) - (-2668)\/24. Suppose 16*n + m - 319 = 0. What is the remainder when k(-5) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-40)*2*20\/(-144)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/12 + r**3 - 7*r**2\/2 - 2*r. Let n be o(5). Let z(w) = w**2. What is the units digit of z(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 2*r**3\/3 - 3*r**2 - 23. Let d be s(-8). Let u be 4\/3 + d\/(-24). Is -6 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 5:38 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.061 - -0.061. Let c = -285 - -285. What is the smallest value in c, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1692511003 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 572285267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(684) - (sqrt(684) - sqrt(684)*-3 - sqrt(684)))**2 + (-6*(sqrt(190) + -3*sqrt(190) - sqrt(190)))\/sqrt(10) + -2.\nAnswer: 18*sqrt(19) + 16414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 a, and 1 n when three letters picked without replacement from nzhghhgaggh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164 - 163.991676. What is d rounded to 4 dps?\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*z + 1, -z + 4 + 1 = 0. Let k(o) = 10939*o**3 + 10*o**2 - 13*o + 24. Let y be k(r). What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022177 rounded to 6 decimal places?\nAnswer: 0.000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -167660, -167659, -167658?\n\"Answer: f - 167661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*f**2*y**2 + 3066*f**2 - 66*f*y**2 - 5*f + 15 wrt f.\nAnswer: -52*y**2 + 6132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -878, 2, -10, -4 in ascending order.\nAnswer: -878, -10, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1))**(-10\/7))**40 assuming x is positive.\nAnswer: x**(-800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -1\/4*m**4 + 0*m - m**3 + 1\/2*m**2 + 14. Give p(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-253))\/((5\/8525)\/(28\/(-140)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 6, d: 4, e: 1}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 + 40*l + 33. Let c be q(14). Find the second derivative of 13*n**5 - 11*n**5 + 29*n**c + 35*n wrt n.\nAnswer: 620*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + f**2 - 2*f - 1. Let c be w(-1). Let b(r) = c - 144*r + 139*r + 1. Let o be b(-8). What is the highest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from rqw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6)*495\/(-30) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 902 and 3280?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 820 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200130 - -1131?\nAnswer: -132333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 450514 to the power of 1\/2, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 577.97585 and -3.112.\nAnswer: 574.86385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 623374 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74731, -298924, -672577, -1195690, -1868263?\n\"Answer: -74730*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**2 - 6*b**2 + 4*b**2)*(2*b**2 + 2*b**2 - 6*b**2 + (0 + 0 - 5*b)*(0 - 2*b + 0)) to a*b**3 + c + n*b**4 + w*b + y*b**2 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 43*m - 226. Calculate l(-44).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 81 = 18*u. Suppose -3*y - 6*v + v - 8 = 0, 5*y + 3*v = -8. Put y, u, 5 in ascending order.\nAnswer: u, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 3*s**2 + 4. Let c be d(4). What is the greatest common factor of 80 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*l - h - h, -4*h = -3*l + 26. Let f(s) = -7*s + 3. Calculate f(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7128673 is divided by 1408.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + 69 + ((-9 - -14) + -17 - 4)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -0.5, -545, -65, 0.4, 0.5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 3*b - 3. Let v(z) = z**3 + z**2 - z - 3. Let g be v(0). Let d be c(g). Let k(r) = r**2 + 2*r + 3. Give k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893.720898ns in weeks?\nAnswer: 0.000000000001477713125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3098425*q**2 + 295*q + 2742 wrt q.\nAnswer: 6196850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(324)*-2)\/sqrt(12))\/(sqrt(18)\/(sqrt(2) + 1*sqrt(2)) + sqrt(9) + (sqrt(27)\/sqrt(3)*4 + sqrt(9) + sqrt(9) - sqrt(9)) + sqrt(9)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4530\/151)\/((18\/(-6))\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1102, 1116, 1138, 1168, 1206, 1252?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -16*l**2 - 21058*l - 83983. Calculate n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 263*r**2 - 6*r - 1. Is a(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 6 = -12*t, 1522*t - 1521*t + 4 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((168\/630)\/(4\/6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**3 + 2*m**2 - 1. Let f be 5\/(-1 + 6) + 0\/11. Calculate u(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-30) + 9\/(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2, 4\/3, -8, 4, 20?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39ab + 17c?\nAnswer: 3b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*f - 4*k, -k - 2*k - 21 = 4*f. Let t be (-56)\/(-26) + f\/39. Solve t*d + 29 = -5*g, 4*d + 23 = -5*g + 5*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 171*c*m**2 + 47*m**2 + 4*m wrt c?\nAnswer: 171*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 495190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -15*d**6\/2 - d**5 + 2359*d**2\/2 + 2098. Find the second derivative of q(n) wrt n.\nAnswer: -900*n**3 - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13474*c**2 + 5026 + 5171 + 38*c - c - 10084 wrt c.\nAnswer: 26948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3419.83008 and 260.61.\nAnswer: -3159.22008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -958*m + 10*m**3 + 1917*m - 959*m.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96\/9*6\/4. Suppose 5*h - 3 = -3. Suppose -d - d + r = h. Calculate the greatest common factor of 32 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-54)\/(-21))\/(9\/42). Suppose 3*c + 2*l = 8*c - 30, -3*l - d = -2*c. Solve 4*s - c = 5*x, 0 = 3*s + s + 2*x - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y*y**10)\/y*y)\/y**(-12))**(-2\/97))**(-36))**26 assuming y is positive.\nAnswer: y**(44928\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(-2\/7)\/y)\/y*y)**(-2\/29))**(-47)*(y*y**(1\/4))**(28\/5)*y**(2\/3)*y**5 assuming y is positive.\nAnswer: y**(7150\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jijjjjjjjij. What is prob of sequence jjj?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2565d41 - 5?\nAnswer: -2565d46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-6) - (-19 - -2). Let w = n + -14. Solve 7*b = w*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-653842)\/(-46703)*12\/7?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34293, 1, 4 in increasing order.\nAnswer: 1, 4, 34293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -2. Let d be (0\/(2 - j))\/(-1). Suppose d*i = 3*i - 15. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/4)*((z\/z**16)\/z)\/z)**(-1\/46) assuming z is positive.\nAnswer: z**(67\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2076 and 3264?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 2. Let a(t) = -3*t - 3. Let q(b) = -5*a(b) - 8*c(b). Let l be q(-3). Solve -2*j = 3*j - h + 12, 3*j + l*h = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**8\/7840 - d**7\/2940 + d**6\/2520 + d**5\/30 + 3*d**2. Let a(p) be the third derivative of y(p). Let a(f) = 0. What is f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (1 + 4 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(200) + 2)*6)**2.\nAnswer: 1440*sqrt(2) + 7346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 7989300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5465629688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -15*g + 102. Give z(-8).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 46?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1031 divide 17296597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -271774 (base 9) in base 5?\nAnswer: -20243023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647*w + 2676*w - 1203*w.\nAnswer: 826*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 2*n. Let f(r) = -99*r**2 - 36*r - 90. Let v = 322 + -321. Let l(z) = v*f(z) - 18*a(z). Find the first derivative of l(h) wrt h.\nAnswer: -162*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-6))\/((-3)\/(-222)). Suppose z*t - 45*t - 224 = 0. Let l be 109191\/(-12) + (1 - t\/(-16)). Round l to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18967 = 116*i - 18039 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 33867 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1153871, 1153890, 1153923, 1153976, 1154055, 1154166, 1154315, 1154508?\n\"Answer: t**3 + t**2 + 9*t + 1153860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*p = -201*p + 21. Let r(n) = -8*n**2 + 20*n**2 - p*n**2 - 11*n**2. Let h(d) = d. Let s(o) = -6*o. Let m(j) = -16*h(j) - 3*s(j). What is m(r(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p**2 + p - 1. Let a(c) = 7*c**3 + 6*c**2 + 43*c + 6. Calculate -a(f) - 6*v(f).\nAnswer: -f**3 - 49*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) - sqrt(110)\/sqrt(160)) + sqrt(22)\/(-1*sqrt(2)*1).\nAnswer: -5 - sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 234 + -2819\/12. Calculate the common denominator of i and 5\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 2168*t**3 - 587528*t**2.\nAnswer: -2*t**2*(t - 542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 34 - 49 = -10*v, 4*j + 20 = -v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f - 3*l - 33, f = -3*l + 3. Suppose -32 = -f*d + 112. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142226*b**2 + 534559*b wrt b.\nAnswer: -284452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 8095406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round 3620 to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1989*g**2 - 169 + 163 - 4*g + 1988*g**2)*(-59 - 17*g**2 + 59) to the form w + d*g**2 + b*g + t*g**3 + k*g**4 and give d.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 671, -4, 317?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-8 + 16 + -9) - 65?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/5 + (-72494)\/(-2705).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174114 is divided by 359?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = u, 0 = -u - 5*p + 2*p - 2. Solve -11 = u*z - q, 3*q - 1 - 2 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let z be w(-2). Suppose -z*q + 6 = -4*h, 0 = -5*h + 2*q + q - 8. Let j = -971 - -973. Which is the closest to h? (a) 3 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 + 12*b + 2. Let j be h(3). Factor -1656*t + 2*t**3 + 2*t**2 + 1688*t + 3*t**4 - 10*t**j - 16 - 10*t**3.\nAnswer: (t - 2)**2*(t + 2)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.4842 days in hours?\nAnswer: 4475.6208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d*d\/(d*d**2*d))*d**(-2\/3)*d*d**2\/(d\/d**(2\/3)) assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/60 and -79\/132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 173*w**2 - w + 3. Let l(i) = i**3 - 21*i**2 + 19*i + 24. Let p be l(20). Is q(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1133.52 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k + 5*b = 14, 2*b = 5*k - 7. Suppose 7 = -4*v + 5*a + 68, 45 = k*v - 3*a. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30376 - 11871. Suppose k + a + 3*a = -18540, -k - h = -3*a. What is k rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 14*t - 187. Suppose 3*j = -n + 159, 0*j = 2*j - t. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20*l**3 + 17*l**2 + 8*l - 20. Let p(o) = -7*o**3 - 6*o**2 - 3*o + 7. Give 6*c(a) + 17*p(a).\nAnswer: a**3 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/((4 + -7)\/(-9 + 1)). Let c(s) = -15 + 1 + 5*s + 10*s - s**2 + 2*s. Let n be c(i). What is the third biggest value in -2\/7, -0.02, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1144651371 to 5 decimal places.\nAnswer: 0.11447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80594622.0000286 + 80594569. Let g = 53 + r. What is g rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 2*w - 2*w - 1. Calculate the least common multiple of j(1) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3131, 5647, 8171, 10703, 13243, 15791, 18347?\nAnswer: 20911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(3 + 0 - 1)*(7*v**5 - v**3 + 3*v**5 + 4*v**5).\nAnswer: 28*v**5 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -188, -303, -398, -467, -504, -503?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4) + -3)*-2. Suppose n*m = -0*s + 4*s + 239, 4*m - s = 200. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 3*u**3 - u**2)*(u - 6*u + 2*u - 9) in the form o + j*u**2 + y*u + n*u**3 + s*u**4 and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686, -1375, -2064, -2753?\nAnswer: -3442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 177*k - 17. Let w(j) = 6*j**2 + 267*j - 26. Calculate 5*w(x) - 8*z(x).\nAnswer: -2*x**2 - 81*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*o + 7, -4*c - 3*o + 4 = o. Suppose 0 = 3*z + v - 247, 4*z - 119 - 204 = c*v. Suppose 5*t - z - 243 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51179708*b**3 + 202403797.\nAnswer: 153539124*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnl when three letters picked without replacement from rrrnrrnrlrllrrnnlrr.\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < -56776\/8503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19322879.2 and 39.\nAnswer: -19322840.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 14. Let x be (2 - 3)\/(4\/t). Solve 4*q - 31 = -5*v - 0*q, x*v + 10 = 4*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13599 = 14*u - 4433. Suppose r + u = 8*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h - 65. Let r be o(-10). Put 8, 2, r, -4 in ascending order.\nAnswer: -4, 2, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -355.3 + 355. Let g = -3 - 1. What is the closest to u in -5, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4455) - (sqrt(4455)*-2 + sqrt(4455)))*-5)\/(sqrt(44)\/(1*sqrt(16)\/sqrt(4))).\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 7*p**2 + 4*p - 6. Let o be m(-6). Suppose 0 = -o*l + l + 25. What is the remainder when 14 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 0*u + 2 - u - 39*u**2 + 80*u**2 - 42*u**2. Determine p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - -50.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -473352 by -118338.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 - 0.3. Let w = 2.3 - k. Which is greater: w or -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (11 + 1)) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0*u + 0*u**3 - 5\/36*u**4 - 5\/36*u**5 - 1\/126*u**7 + 0 - 21*u**2 - 1\/18*u**6. Find v such that o(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 300*s**2 + 1. Let p be t(1). Let v = p + -144. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g**(14\/5)\/g)\/g)*g**(-1\/8)\/g assuming g is positive.\nAnswer: g**(-37\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22012212 - -12?\nAnswer: -22012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.664921 years in centuries?\nAnswer: 0.03664921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 294 - 26 = -5*y, 0 = 5*j + y + 400. Is 0 - -2 - (3 + j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (60\/27 - 2). Let u = 1 - 2. What is the biggest value in u, r, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534733907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80356409.\nAnswer: 7, 89, 128983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0 + 1\/120*f**5 - 3*f**2 - 1\/24*f**4 + 1\/12*f**3 + 0*f. Factor l(m).\nAnswer: (m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*k + 3197 + 595 + 1010 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*f - 4, 0 = f + 4*j - 3*j - 3. Let t(a) be the first derivative of 4*a - 1\/3*a**3 + 2*a**2 + 24. Give t(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*(sqrt(440) - (sqrt(440)*5 + sqrt(440))))\/(sqrt(10) + (sqrt(10) - -4*sqrt(10)*6 - sqrt(10))) + -4)**2.\nAnswer: -256*sqrt(11)\/5 + 11664\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2) - -1)*22. Let f = -28 + h. Let p = 85 - f. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -331416 - -331418. Let v be 2\/(-6)*(-3)\/(-5). Put 0, i, v in descending order.\nAnswer: i, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 171 - 318 = -v, 0 = 3*v + g - 1462. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:23 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 5. Let q be w(4). Let i(s) = s + 2. Let k be i(-3). Is q less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 7*o**6\/180 - 3*o**5\/40 + o**4\/36 + 56*o + 62. Let d(b) be the first derivative of w(b). Find f, given that d(f) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156646.338 to the nearest ten.\nAnswer: 156650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from bbwv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/99*66)\/(2\/(-16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 139 - 5963?\nAnswer: -5824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006301 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*1\/(-3))\/((-2)\/(-34)). Suppose -10 + 350 = z*a. What is the least common multiple of 12 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1334820*i + 41 - 83 + 46.\nAnswer: 1334820*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379.46301 rounded to the nearest integer?\nAnswer: 3379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19499\/13 + -1499. Which is the smallest value? (a) -0.1 (b) 0.5 (c) 2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 16 = 0, 491*d - 488*d = -5*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c + 48 = -78 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*o**2*s**3 + 217*o**2 + 125*s + 11 with respect to s.\nAnswer: -18*o**2*s**2 + 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**3 - 3*z**2 - 62*z - 8. Let c(x) = -6*x**3 + 4*x**2 + 60*x + 10. Calculate 3*c(o) + 4*q(o).\nAnswer: 2*o**3 - 68*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*o - 9. Let y(i) = 2*i**3 + 3*i**2 - 2*i. What is the remainder when 71 is divided by y(o)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (-6*(sqrt(11) + sqrt(11)*-1) - (sqrt(11) + sqrt(33)\/sqrt(3))*-3 - 3*sqrt(176)*2) + 0)**2.\nAnswer: -10767 - 540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b = 80. What is the greatest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2 + 4*m - 3. Determine o(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 5. Let g be h(3). Sort g, 2, 0 in decreasing order.\nAnswer: 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (3 - (-6 - -5 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -25*g - 82. Let l(j) = 9*j + 27. Calculate 7*l(f) + 2*n(f).\nAnswer: 13*f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*l - 3 - 5 = 0, 0 = 4*p - 4*l + 40. Is (-2)\/p + 800\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 226770*m + 453541\/2.\nAnswer: -(m - 453541)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4733*k = -4751*k + 54 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/3 - q**3\/3 + q**2\/2 - q. Let k be m(1). Let w be -1*k - 1\/(-1). Sort w, 5, -3 in increasing order.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from louu. Give prob of picking 1 u and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1272)\/(-19292)*(-14)\/(-6)*3\/4?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4 = 3*k, 0 = -l - 4*k - 11. Let c(i) = i - 3. Let x be c(l). Let -z**x + 2*z**2 - 4 - 2*z**2 - 4*z = 0. What is z?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2\/6 + 331466536*i\/3 - 54935032243919648\/3 = 0.\nAnswer: 331466536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 71, 155, 285, 467, 707, 1011, 1385?\n\"Answer: r**3 + 14*r**2 - 5*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*u + 143*u + 111*u.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7263? (a) -11 (b) 1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3572002*k**4 + 5978007*k**2 wrt k?\nAnswer: 85728048*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2471*g**2 + 701*g + 9205. Is o(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -947*i + 5109*i - 2077*i - 2083*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0 + 0*s + 0*s**4 + 1\/30*s**5 - 1\/210*s**7 + 0*s**6 - s**2 + 0*s**3. Find the third derivative of y(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 t when four letters picked without replacement from xxxtxtxxxxt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/144 and -167\/83640.\nAnswer: 501840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.5. Let f = 0.39 + 0.01. Let c = 42392 + -847841\/20. What is the closest to q in f, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.22 + 2.78. Let z be 4\/(-25)*(-210)\/(-28). What is the nearest to z in m, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77)*-4 - sqrt(77))*2)\/(-5*sqrt(63)\/sqrt(9)).\nAnswer: 9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/306)\/(483\/276*6\/14)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 divided by 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4 + 18*h**2 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9999996 + -3. What is n rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.8 - -3.2. Let m = -43 - -90. Let n = -46.9 + m. Which is the closest to n? (a) 2\/3 (b) 1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-25)\/(-4)*(-1732)\/2165?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let q(y) = 55*y. Calculate a(q(n)).\nAnswer: -55*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3 + (2 + 4 - 12)*(-5 - 2 + 5) - 3 + 3 + 2)*(2 - 2 - 2)*(9 + 6 - 8)*(2*d**2 - 3 + 3).\nAnswer: -336*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209.6261 - 209.5. Which is bigger: 2\/7 or v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6031.\nAnswer: 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*u = 5, -5*n + 10 - 21 = u. Let r = 0.4 - -0.6. Let q be (-3)\/(-6)*(-12)\/18. Which is the nearest to r? (a) 0.5 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3 + 4*u + 2 - 3*u + 0*u**2 - 10*u**2 - u**3. Let q be n(-10). Put -2, -1\/4, q in descending order.\nAnswer: -1\/4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*r - 0*r - 19, -16 = -2*f + 4*r. Put 3, -2, f in decreasing order.\nAnswer: 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 32 = 13. Suppose 6*l = 8*l + a - 292, -7*l = a - 1012. Calculate the greatest common divisor of l and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 3 + ((sqrt(5) + -1)**2 - sqrt(5)) + -1*(sqrt(180) + sqrt(5)))*-4.\nAnswer: -36 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 - 4*a - 7. Let d = -6 - -9. Let r(i) = -i**2 + i + 2. Let z(y) = d*v(y) + 8*r(y). Calculate the remainder when 12 is divided by z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 267\/(-174440)*-147*(-12)\/(-135)?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 18, -207, -31.\nAnswer: -207, -31, -3, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 1658525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2) - -6*sqrt(18))*2)**2.\nAnswer: 5776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 - 9 - 28 + r + 10*r**3 + 139 - 22 - 44 to w*r + x*r**2 + b*r**3 + j*r**4 + z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**5 - 100*h**5 - 61*h**5 + (-5 + 5 + 2*h)*(-16*h**4 + 12 - 12).\nAnswer: -197*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15994421?\nAnswer: 15994421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(3) - sqrt(3)))**2 - (3 + sqrt(12)\/sqrt(4)).\nAnswer: -21*sqrt(3) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 11*q**2 - 21*q - 18. Let r be t(8). Suppose -29*o + r*o = -736. Calculate the lowest common multiple of 18 and o.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:05 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*p**3 + 57*p**3 - 33*p**3.\nAnswer: 82*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*u - 3, -2 = -3*z - u + 3. Let k = z + 0. Suppose -r = 4*r - 10. Solve -k*s - r = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 380 = -4*c. Let r = c - -39. Calculate the greatest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**2\/2 + 5*o + 2. Let d be (-18)\/(-8)*56\/3. Suppose -25*v = -31*v - d. What is h(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200970 and 10545502.\nAnswer: 3321833130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 157 = -1348. Let a = -154 - y. Suppose 9 - a = -4*w. What is the remainder when w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/5 + 789*r - 5767152\/5.\nAnswer: 3*(r - 877)*(r + 2192)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1)*23*80\/11960?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 402955*o + 0 - 402955*o + 2367*o**2 as c + b*o + d*o**2 and give d.\nAnswer: 2367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.97 + -0.03. Let y be ((-18)\/6)\/(-6) - 19\/30. Sort 2\/41, a, y, 2 in decreasing order.\nAnswer: 2, 2\/41, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-24))\/((-56)\/(-144))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 2102120221112101?\nAnswer: 2102120221112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*s + 2*g - 2, 0 = 5*s + 4*g - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 105120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -19. Suppose -6*d - 161 = -41. Let c = d - j. Solve 0*s - c = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-160)\/82 - -1. Let q be 4\/4*(-17)\/(-34)*2. Which is bigger: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/231345 and -47\/1401165.\nAnswer: 74261745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 3 + -1)*1. Suppose -3*k + 9 = 0, l*h - 3*h + 45306 = 2*k. Round h to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 8 = 3*v. What is the remainder when v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4\/8 - 171*r**3\/8 + 1341*r**2\/8 - 2181*r\/8 + 126 = 0.\nAnswer: 1, 7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3901 is divided by 1217.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004013 rounded to seven dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 5:06 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -38. Let l = -0.25 + 0.15. Let p = -2 + 3. What is the closest to l in m, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y + 2*o, 3*o = 4*y + o + 2. Let p be -48*(y - (-3)\/(-9)). Let j = 18 - p. Solve 6 + 0 = j*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 33*v - 10. Let u be j(15). Let b = 54 + u. Let c be 14 - (28\/8 + b\/(-2)). What is c rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/8, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1539) + ((sqrt(1539) + sqrt(1539) + sqrt(1539)*2 + sqrt(1539))*4)**2 + -1.\nAnswer: 9*sqrt(19) + 615594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 17. What is the units digit of u(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 - -155. Let c be 6\/(-2)*-1*y\/108. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2220045)\/6)\/((-2)\/4). Suppose -l - 5*k + 0*k - d = 0, 5*l + 5*k + 3700015 = 0. What is l rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2073\/4154 - 2\/2077. Sort -0.4, v, 0, -5, 0.5.\nAnswer: -5, v, -0.4, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 3*k - 22, -261*k + 256*k - 10 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 2 + 0*d**2 - 2*d**2 + 0*d**2 as s*d**2 + x + c*d and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 233, 0, 2\/49, -4?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1a7b19 (base 16) to base 11\nAnswer: -a85961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -14. Let a = w + 7. Suppose 5*f - a*l - 78 = 0, 3*l + 17 = 4*f - 43. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5135381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2424*m = 2426*m - 8268. Calculate the lowest common multiple of m and 15.\nAnswer: 20670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2489)\/(-3) - -2)\/(31\/93) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 847 = -19*v + 885. Sort -4, -1\/6, -410, -1\/5, v in decreasing order.\nAnswer: v, -1\/6, -1\/5, -4, -410","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 923 - 905 - (-13 + 0)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -4.94. What is the smallest value in 3, f, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**2 - 13*l**2 + 12*l**2 to h*l**2 + s*l + j and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 9*p + 33, -2*a + 3*p - 188 + 201 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 31978986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1228 + -104140?\nAnswer: -105368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 28*l + 250 - 28 + 34*l - 16*l - 4*l. Is 40 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5166 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 143.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z - 91. Let r be d(-5). Suppose -n = -r*n + 4395. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 903571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jei when three letters picked without replacement from {i: 3, j: 8, y: 3, e: 5, k: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 - 80\/(-48)*58\/10. Let z(d) be the second derivative of 6*d + h*d**3 + 0*d**2 + 0. Let p(l) = 15*l. What is z(p(q))?\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6272523797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3 + 89*r**2 - 792*r?\nAnswer: 12*r + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000052311 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2926*i - 5349. Give x(-2).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14387 (base 10) in base 12?\nAnswer: -83ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35370253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.4 + 4.5. Let f = -3 - p. Let d = 1251\/7 + -179. Which is the nearest to f? (a) 2\/5 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266*0.04539\nAnswer: 12.07374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 3\/((-42)\/10). Let l = -72 + 506\/7. Let f = -3\/14 - l. What is the closest to j in f, -3, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.39 - -25.39. Let u = -146\/5 + 30. Which is the closest to x? (a) -2 (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.827114ng to grams.\nAnswer: 0.000000005827114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -2, -5, -8, -11?\n\"Answer: -3*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27836, -47, -1\/12?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 - 2*m - 1. Let f be j(-9). Let i = 24 - f. Calculate the lowest common multiple of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9553, -9514, -9475?\nAnswer: -9436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427720592?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-35))\/(279\/(-651)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -6\/11, -60, -0.025 in descending order.\nAnswer: 5, 1, -0.025, -6\/11, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -63701b?\nAnswer: 637016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.01084 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -7*v**6 + 65*v**3\/3 - 163. What is the third derivative of f(z) wrt z?\nAnswer: -2520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/24 + v**3\/3 - v**2. Let y = -12 + 12. Suppose 3*d - 12 - 6 = y. Give g(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 + 5*t - 1. Let a(x) = -21*x - 6. Let h be a(0). Let p(d) = 8*d**2 + 6*d - 1. What is h*y(i) + 5*p(i)?\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1133 and 3502.\nAnswer: 38522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 617379, 617385, 617395, 617409, 617427?\n\"Answer: 2*m**2 + 617377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.99416l to millilitres.\nAnswer: 39994.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 4, o: 3}. What is prob of picking 1 v and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23397234.\nAnswer: 2, 3, 7, 479, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7960 divided by -2\nAnswer: 3980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 840600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**8\/j**2*j**(-17)\/(((j\/(j\/(j\/j**24)))\/j)\/j*j) assuming j is positive.\nAnswer: j**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v**(2\/3)*v)**(-8)*((v*v\/v**(2\/7))\/v*v*v**(-1\/4))\/(v*v**1*v**(-4)) assuming v is positive.\nAnswer: v**(515\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.092063 + 0.092. Round o to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -7)*-152*(-31)\/(-248).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 - 23 - 8 - 155 - 153)*(-g - 4*g + 4*g) as l*g + h and give l.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-6)*27\/6. Let r be (-2)\/11 + 1062\/j. Let z(m) = m**2 - m + 2. Let o be z(3). Calculate the highest common factor of r and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80089914 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 923*n - 17477. Give p(16).\nAnswer: -2709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Let d = -3.7 + 5.7. Sort d, 0, i in decreasing order.\nAnswer: i, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {m: 5, w: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -342\/7 or -49?\nAnswer: -342\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4142\/3, 0.2, 4 in decreasing order.\nAnswer: 4142\/3, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.5107 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 47*k + 417 = 12*c, 0 = 3*c + 3*k - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -576328*i**3*u - 2*i**3 + i**2*u + 1521*i**2 - 2*i*u + u wrt i.\nAnswer: -3457968*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6797 + -6807. Sort -0.005, a, 3.\nAnswer: a, -0.005, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.97768597*-0.2\nAnswer: -0.595537194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*u + 92 = 117, -5*u - 70 = 9*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 13*l**2 + 4*l)*(0*l**2 - 2*l**2 + l**2) + 1 - 1 + l**4.\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2415 and 1340647.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**7\/840 - o**6\/90 + o**5\/60 - o**4\/8 - 5*o**3\/6 + 7*o. Let r(q) be the second derivative of l(q). Give r(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 20, -u - u + 49*n - 46*n + 2 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20100221 - 11?\nAnswer: 20100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15089 - 0.150895183. What is p rounded to 7 dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1 = 4*v - 6, -2*v = 4*j - 8. Suppose -y = y + j*y. Suppose -2*d = -10, y*d = 3*q + 4*d - 29. Solve 2*k + 6 = -q*n, -3*k - 3 - 6 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 2, -4 in ascending order.\nAnswer: -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5510412 is divided by 200?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 2\/3, -1, -4617, 0.54, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 203\/63 - 10\/45. Suppose 14*o - 10*o = 4, 2*d = o + w. Determine a, given that 1\/2*a**2 + 2 + d*a = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5046304 divided by 1?\nAnswer: 5046304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3939 - 2040. Calculate the remainder when h is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (-1*(-2*sqrt(288) + sqrt(288) + -2 + sqrt(288)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - 12\/(-45). Let k be (29\/(-4))\/(3465\/(-96)). Let d = k + l. Sort -4, 1\/3, d in descending order.\nAnswer: 1\/3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 times 18?\nAnswer: -0.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8 - 19*t - 4 - 14*t + 0. Let j(p) = 8*p + 3. Let f(h) = 26*j(h) + 6*k(h). Let r(x) = 2*x + 1. Suppose 46*v - 24 = 40*v. Calculate v*f(z) - 22*r(z).\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104100 divided by 10.\nAnswer: -10410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + 2392\/6. Suppose 0*s + p + o = 4*s, 2*p = 2*s - 202. Suppose -3*w + 2*u - 30 = -s, 4*w - 3*u = 93. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10 + 1 + 13)*(0 - 3 + 2) - 4 + 1 + 2 + (1 - 1 - 2)*(-3 - 1 + 5))*(-53*p**2 + 53*p**2 - 7*p**4).\nAnswer: 189*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043757 rounded to 4 dps?\nAnswer: -0.0438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.078 - -256.\nAnswer: 255.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -780378 divided by 6?\nAnswer: -130063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476281.\nAnswer: 13, 36637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 15166 = 5*z, 115*z - 2*i = 114*z + 3026. Is z a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1156\/15 + -77. Let w(i) be the third derivative of -y*i**5 - 5\/6*i**3 - 3*i**2 + 0*i**4 + 0 + 0*i. What is the derivative of w(g) wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.1 (c) 544.6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3583 divided by 554.\nAnswer: 3583\/554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 189, 345, 501, 657, 813?\n\"Answer: 156*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2*0.14.\nAnswer: -0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191 divided by 397?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 169*p**2 - 288*p + 2764. Calculate j(83).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppc when four letters picked without replacement from ccpcippipiccciccc.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:23 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321201224 (base 6) in base 2?\nAnswer: -111100000010100000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003924 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 46*x**2 - x - 4. Let k be (8\/(-10))\/((-10)\/75). Suppose 34 = k*t + 4. Is i(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*6\/(-9)*7\/(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4393a7 (base 13) to base 9\nAnswer: -2884730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = 3*h. Let g be 1*((0 - 3\/(-4)) + (-3757)\/(-884)). Sort 1, g, -5, h in descending order.\nAnswer: g, 1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3674936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -287148 < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -q + 2, 3*q - 10 = j + q. Let v(t) = -t**2 + 9*t - 11. Let x be v(7). Let w be -6*(-1)\/36 - 17\/30. Sort w, -0.2, x, j in ascending order.\nAnswer: j, w, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-3)\/(-6) - -1). Suppose -4*u + d = -3*u. Let j(c) = -u - 2 + 4 + 6*c. Let n(z) = z. What is j(n(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6375 divided by 77?\nAnswer: 6375\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26677 + 80487 = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 685 + 716 - 2104 + 716.\nAnswer: 8*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**2*s**4 + 20*a**2 - 47*a*s**4 + 3*a*s**2 wrt s?\nAnswer: -120*a**2*s - 1128*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22052108167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 11762371.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.106 - -0.053. Let k = -3.153 - y. Round k to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2384381 milligrams?\nAnswer: 238.4381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from zkagsps.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 13*i**2 - 12*i + 300. Determine c(11).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1225\/(-1960) - 33\/24. Put -0.1, 1\/3, -27, u in decreasing order.\nAnswer: 1\/3, -0.1, u, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 7:51 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840*h + 187*h - 734*h = 62*h - 30429 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c + 64. What is t(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130572*u - 4*u**2 + 130569*u - 391727*u + 0*u**2 + 130579*u.\nAnswer: -4*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11432.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 447807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -8 + 0*x**2 + 0*x + 2\/3*x**3. Let z(m) = 4*m**2 - 4*m**2 + 4*m**2. Determine b(z(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-3)\/(-30))\/((-138)\/(-575)))\/(70\/42))\/(-2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -13.9. Let v = 1 - 0.2. Let l = v - 0.5. What is the second biggest value in f, -3, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, t: 3, s: 4}. Give prob of picking 1 c, 1 t, and 1 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 21*z + 555. Let q be r(14). Solve -648*i = -q*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6129\/(-297) + 21)\/(2\/11). Solve g*s + 5*i = 7*i + 4, -3*s - 2*i = 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 710399 by -132.\nAnswer: -710399\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*o - 18. Let w = 7681 + -7681. What is the second smallest value in 3, o, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 129\/9 - 6\/(-9). Let t(p) = 4*p - 6. Let y be t(7). Let a = y - s. Let l(k) = -k + 2. Calculate l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - -1. Suppose 144 = -9*g + g. Let t = g + w. Solve q - t = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-10) + (-4)\/(-10). Suppose 0 = 5*a - m - 20, -2*a + 2*m + 4 = -a. Suppose -a*u = 20, 5*n - 15 = 4*u + 10. Put n, f, 2 in descending order.\nAnswer: f, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*h**3 + 97*h**3 - 55*h**3 + (-5*h + 5*h - 4*h)*(h**2 + 2*h**2 - 2*h**2).\nAnswer: 90*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -23*w**2 + 17*w + 6. Let z(b) be the second derivative of -b**4 + 3*b**3\/2 + 3*b**2\/2 + 4*b. Let i(s) = -3*c(s) + 5*z(s). Factor i(t).\nAnswer: 3*(t - 1)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a88712 (base 11) to base 9\nAnswer: -10840816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n**3 + 5*n**2 + 14*n - 50. Let d(u) = 10*u**3 - 5*u**2 - 12*u + 46. Determine 9*d(f) + 8*p(f).\nAnswer: 2*f**3 - 5*f**2 + 4*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**4*f\/(f*f\/(f\/(f**(4\/3)*f)*f)))\/((f*f*f**5)\/f*f*f**(1\/5)))\/((f\/f**(-6))\/(f\/((f*f\/(f\/(f*f*f**(-5))*f)*f)\/f)))**(-7) assuming f is positive.\nAnswer: f**(142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8959868 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 765 + -754. Which is the biggest value? (a) 5 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a millennium in decades?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6121*f**3 + 2464*f**3 - 5142*f**3.\nAnswer: -8799*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 0*m**3 - 39*m + 0 + m**4 + 0*m**2 - 1\/4*m**5. What is the third derivative of p(n) wrt n?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + 1 + (70 - 82).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 13507*t**3\/3 + 7475*t**2 + 11725. Find the second derivative of b(i) wrt i.\nAnswer: 27014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 9.14. Let o = 0.04 - d. What is the closest to -1\/2 in -0.4, 1\/4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/22*(-4)\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 1. Let d be c(3). Suppose 24 = -2*o + 2*v, -350 = 3*o - v - 308. Let k = d - o. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(-19 - (-1 + (-1)\/(-1))). Suppose -68 = -4*f + 4*a, 3*a + 104 = 4*f + 8*a. What is the remainder when f is divided by (-1 - (-6)\/5) + (-1026)\/u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -578489, -578509, -578529, -578549?\n\"Answer: -20*u - 578469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 39 = -3*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 10*x - 12. Suppose 5*o + 36 = -7*o. Let u be s(o). What is the first derivative of 5*r**2 + u - 25*r**2 + 1 wrt r?\nAnswer: -40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2900492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*b**2 - 2)*(422 - 24 + 136) in the form s*b**2 + g*b + o and give s.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(2\/7)\/q)\/q)**35)**(-8\/9))**(-31) assuming q is positive.\nAnswer: q**(-4960\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csq when three letters picked without replacement from fsfqfqfssqcsqqsqqfqq.\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**4\/6 - 4319*h**3\/3 + 399959*h**2\/6 + 716430*h = 0.\nAnswer: -8684, -9, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -96 - 6.76608176\nAnswer: -102.76608176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2*o + 94 - 77, 32 = -4*f + 5*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66*(-102)\/(-5049))\/((-23)\/(-21) - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*m = -42, -3*k + 0*m + 29 = 2*m. Suppose -2*u + k = 2*u + g, -g = -2*u - 1. Factor -4\/7*s**u - 2\/7*s + 0 - 2\/7*s**3.\nAnswer: -2*s*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8703523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*n**3 - 4*n**3 + 7*n**3)*(236*n + 294*n - 181*n).\nAnswer: -4886*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (85 - ((-20 - -23) + 11)) + -6?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 211, 456, 799, 1240?\nAnswer: 1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 10. Let v be j(3). Find the first derivative of 3 + 4*m**v - 13*m**2 - 3 - 4 wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.01527 - 0.01527. Which is the biggest value? (a) f (b) -0.2 (c) 0 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (579*z**3 + 0 - 447*z**2 - 1 + 445*z**2)*(0 + 3 - 1) in the form g*z**3 + t*z**2 + w + m*z and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(2 - 2 + s**2)*(-4 + 6 - 4).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - 0*a. Suppose -o - a*p - 10 = 0, -p - 5 = -0*o - o. Suppose o*w - 3*w + 366 = -3*d, -2*w = d - 253. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(-45)*(d\/(d\/d**(-3\/2)))**50 assuming d is positive.\nAnswer: d**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 + -66331?\nAnswer: -66239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/90216075 and -17\/105.\nAnswer: 631512525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, o: 10, s: 2, v: 3}. What is prob of sequence dy?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -188?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 29, 0, -2\/3, 9\/7 in decreasing order.\nAnswer: 29, 6, 4, 9\/7, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26228, 26260, 26302, 26360, 26440?\nAnswer: 26548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1509 - 1493. Let o = -375 + 532. Calculate the remainder when o is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/153 + (-1)\/3. Is -1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 949360388 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 1761, -0.1, 2\/7, -5 in decreasing order.\nAnswer: 1761, 3\/5, 2\/7, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2\/3*l**2 - 200\/3 + 40\/3*l = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 54, 86, 116, 144, 170?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*y = -9*v + 184*y + 20, 2*y + 15 = 2*v - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1339 + 576. Let z = 762.7 + k. Sort -2, 110, -4\/5, z in decreasing order.\nAnswer: 110, z, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 2*j + 342, 0 = 5*m - 2*j + 574. Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/((-48)\/(-30))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8791089 and 1332?\nAnswer: 105493068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816522 and 35742.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 - 150. What are the prime factors of q\/3*(-146 + 6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - a = -6*a + 5, -a + 2*a - 4*a + 12 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 68*j**3 + j**2 - 63*j + 62. Determine m(1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -54, 1.\nAnswer: -54, -13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -35542545 (base 6) to base 14\nAnswer: -211505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1. Let c(n) = 10*n**2 - n + 3. Let b be 4 - (24\/(-48))\/(3 + 43\/(-14)). Calculate b*m(y) + c(y).\nAnswer: 10*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) 1\/4 (c) 0.0479 (d) -42 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(-5*(sqrt(6) + sqrt(42)\/sqrt(7))).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d**2 - d + 3. What are the prime factors of b(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1312 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 2, t: 2, c: 2}. What is prob of picking 1 g, 2 c, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*l + 6*c - 380, 76*l - c - 15 = 80*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 + 32*q - 9*q.\nAnswer: 23*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 4023 + 151 = 0. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101100010110011101 + 1111?\nAnswer: -100101100010110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c**2 + 8 - 7 - 1.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-three quarters of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169\/9 + -12080\/639. Is z smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30797362 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-5)\/(-4))\/(-5) - ((-435372)\/(-336))\/(-73).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 2120210212100001?\nAnswer: -2120210212100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*n + 339 = -16*n - 101. Let s(m) = 5*m**2 + 2 + 14 - 5. Is s(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153376 is divided by 106.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136049*w**4 - 67512?\nAnswer: -544196*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 119. Does 22 divide r(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27848 and 16888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6980, 6956, 6932, 6908, 6884?\n\"Answer: -24*s + 7004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*c = -118, -3 = 8*c - 7*c. Suppose -4*v = -4 - 16. Solve -2*p - v*o = -1 - 11, 4*p - 3*o + b = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5665.7 + 6000.71. Let f = c - 332. Let u = -0.01 + f. What is the closest to 1\/5 in 5, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/5 + 11544\/(-2535)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 + 71*q - 99. Let h be g(-25). What is the highest common factor of h and 124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11354593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:52 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*((0 - -5) + 1). Suppose l = -7*u + 9*u. Suppose 2*m = -g + u, m - g - 9 = -6*g. Solve -20 = m*n, 3*q - 2*n - 5 = 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153*a**2 + 0 - 2*a + 3*a**2 - 4 + 4)*(-83*a**2 + 32*a**2 + 31*a**2).\nAnswer: -3120*a**4 + 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)\/n*n)\/((n**(4\/5)*n*n*n)\/n)*n\/(n\/n**2)*(((n\/n**(-4))\/n)\/n)\/n assuming n is positive.\nAnswer: n**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**3\/2 - f. Let r(t) = -5*t**2 + 11*t**2 - 4*t**2 - 4*t**2. Determine r(i(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001832150685 to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 106*n**2 - 218*n + 92. Give l(108).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322231133331 - -10?\nAnswer: -322231133321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 494512783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q + 3. Let y be h(-3). Let b(p) = -p**3 - p**2 + p - 2. What is the units digit of b(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*14\/(-175)*6\/54?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -5, 5 in descending order.\nAnswer: 5, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(-29412)*57)\/(1\/84)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 332 = -s + 318, 4*u + 44 = 4*s. Let j(l) be the second derivative of l**3\/2 + l**2 + l. Calculate the smallest common multiple of j(2) and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - 495\/(-44)) + 2\/(-8). Solve 12*w - 116*w - 520 = s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + -1)\/15 - (-278)\/10?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by 11239204.\nAnswer: -79\/11239204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*w**2 + 3*w**4 - 1852*w**5 - w**4 + 1819*w**5 + 31*w**2 wrt w?\nAnswer: -1980*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 12730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:38 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (-13 - -30)) + (-8 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1750*x + 416 + x**2 + x**5 - 875*x - x**2 - 876*x - 1909*x**4 wrt x?\nAnswer: 20*x**3 - 22908*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -2.427.\nAnswer: 14.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22 - 1\/(1\/2). Let i = 65 - p. Let y = i + -22. What is the highest common divisor of 69 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38283000 to the nearest one hundred thousand.\nAnswer: 38300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4*(-88)\/(-66). What are the prime factors of ((-256)\/(-24))\/(i\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101540000 rounded to the nearest one hundred thousand?\nAnswer: -101500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t. Suppose 0*r - 4*r = t. Suppose r*f + f = 3. Solve -y + 4 = -f*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 15*p**2 - 39*p - 9. Determine i(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285241 and 1296550?\nAnswer: 14262050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*611.9\nAnswer: 55.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:01 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 4. Let s(b) = -32 + 39 + b**2 - 3*b**2. Let p = -10 + 17. Give p*j(o) - 4*s(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-9) - 1 - (-133)\/(-21). Sort d, -4, 4, -2.\nAnswer: d, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(120)\/sqrt(8) + sqrt(15))\/((sqrt(45) + (sqrt(45) - sqrt(180)\/sqrt(4)))\/sqrt(9)) + 5.\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 295 + -293. Solve -5*j = -5*a - 5, 3*a + 1 - 3 = -t*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -468?\nAnswer: -468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1323)*2 + sqrt(1323) + sqrt(1323)*1 + -2)**2 + -4*((sqrt(1323)*-4)**2 + 4).\nAnswer: -1008*sqrt(3) + 105828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(8\/(-6)) + 4. Let j be -1 + -3 + 6 - d. Calculate the highest common factor of 4 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecceeeeceicceegeecc. Give prob of picking 2 e.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 11 = 23. What is the remainder when 19 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 8*f**2 - 3*f - 19. Let c be a(9). Suppose -c*v - 2 = -34*v. Put -5, -1, v, 5 in increasing order.\nAnswer: -5, v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10451 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 12*r - 8*r, 5*u - 3*r = 0. Which is the smallest value? (a) -29.2 (b) 5 (c) -0.2 (d) 1\/9 (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (385\/462)\/((-119)\/(-21) + -4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(0*j**4 - 2*j**4 + 4*j**4 + (-6*j + 2*j + 3*j)*(4*j**3 + 8*j**3 - 4*j**3)) in the form k*j**2 + z*j**4 + v*j**3 + l*j + h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*r + 16, -5*v + 4*v - 2*r + 13 = 0. Let u(t) = -4*t + v*t - 3*t**2 + 3*t. Let o(h) = h. Give o(u(b)).\nAnswer: -3*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 483426 and 7530.\nAnswer: 2417130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 76*w + 75*w - 171*w - 3 - 20*w**3 to the form h*w + g + v*w**3 + d*w**2 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s + 18 = -f, 3*f + s = 1. Suppose z + f = c, -4 = -3*c + 11. Suppose 5*d - 78 = -y, -2*y - z*y - 30 = -3*d. Solve 3*v + 6 - d = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p + 5*p**4 + 9*p**2 + 6*p + 9*p**3 - 10*p wrt p?\nAnswer: 120*p + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j**3 + j**2. Let y(w) = w**3 + w**2. Give -f(p) + 3*y(p).\nAnswer: -14*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15268 - -692358. Round v to the nearest 1000.\nAnswer: 677000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 168, 262, 372, 504, 664, 858, 1092?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**4\/24 + 7*p**3\/6 + 3*p**2. What is the units digit of a(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -685*m**2\/2 - 6*m - 58. Is f(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94494004 divided by -232172.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6836 (base 9) to base 12.\nAnswer: -2b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4*p - 124 = 0, -797*p + 798*p = -3 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 5*s + 1. Let t be n(-5). Let c = 5 + t. Let f = -4 + c. Which is greater: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -576280, -576305, -576330?\n\"Answer: -25*d - 576255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 16*a + l = -5, 8 = -a + 2*l. Let -1\/2*o**a + 0*o + 1\/2 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3113093?\nAnswer: 19, 163847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnn when three letters picked without replacement from zhzbzbnhznbb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*v + 4068, -2*v + 5*x = -2071 + 454. Suppose v = 3*k + 14*k. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -101*r - 7 - 17*r + 5. Let j(q) = -3*q**2. Give j(w(z)).\nAnswer: -41772*z**2 - 1416*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/8005 or 1?\nAnswer: 36\/8005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 445137, 445133, 445129, 445125, 445121, 445117?\nAnswer: 445113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrflfllzlfzllfrflz. Give prob of picking 3 l.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -11*s**4\/2 + s**3 + 3*s**2\/2 + 3*s + 106. List the prime factors of o(-3).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + (1 - 10) - (4 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 1\/4, -2, -87, 586?\nAnswer: 586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/2, 2, -246, -0.17, 2\/3 in increasing order.\nAnswer: -246, -1\/2, -0.17, 0.4, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 2. Let z be (-7)\/28 - 496422138\/(-8). Suppose -33200010 = f*v + 5*n, -5*v + n - z = -20552769. Round v to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01832698 to 4 dps.\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 9) to base 3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43652, 43519, 43266, 42893, 42400, 41787?\n\"Answer: -60*l**2 + 47*l + 43665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - 3*c**2 + 5*c**2 + (-130 + 130 + 24*c)*(0 + 0 + c))*(c - c - 2*c).\nAnswer: -46*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/12 - (1 - 11). Let z(q) = -q + 27. What are the prime factors of z(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 4. Let a be z(6). Suppose a = 4*n - 72. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 21 - 15)*(2*n - 1 + 1) in the form h*n + c and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + c**2. Let r(t) be the third derivative of -t**5\/30 + t**3\/6 + t**2. Let n be 2\/(-4) + (36\/24)\/((-7)\/7). Give n*s(x) - r(x).\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 10 = 3*r. Suppose 3*g = 4*p + 1, 2*g + 4 = 4*p + 6. Let s = 83\/9 - 9. What is the closest to s in 0.1, r, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255441661 (base 7) in base 11?\nAnswer: 9232288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 16372.87028305 and -0.07.\nAnswer: 16372.80028305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -12, 0.3 in decreasing order.\nAnswer: 0.3, -0.05, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1183\/(-26))\/(56\/(-16)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400 = -5*m - 0*r + 2*r, 0 = -5*m + r + 1395. What are the prime factors of m?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + -125 + (37 - -88)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-60 - -66 - (-100)\/(-18)) + 4. Let 50\/9*u**3 + 5\/3*u - 2\/9 - 10\/3*u**4 + 7\/9*u**5 - b*u**2 = 0. Calculate u.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4935960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*-2 + ((-79178)\/(-413))\/61.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.842214 to 1 dp.\nAnswer: 50.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 45. Suppose 4*u + q = 477, 0 = -5*u - f*q - q + 591. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 7*u**2 - u - 16. Let h be j(-5). What is the greatest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 13. Let s be (-8)\/(-10)*90\/c. Let y = s - -37. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.305 + -0.505. Which is the third biggest value? (a) 19 (b) 0.5 (c) p (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by -3*(-28 + 14) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2387892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1549225273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-6) + (-8135)\/(-30). Suppose 0 = -3*c - 2*m - 3*m + 408, -2*c + z = 3*m. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5375 - 1178?\nAnswer: 41a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26346 = -4*i - 2*j + 36174, -31256 = -2*i - 3*j. Suppose 5*h = -2*h + i. Let m = h - 432. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5\/19 (b) -2639 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*g = -5*p + 999, p + 2 + 71 = -3*g + 22 + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, 2.5.\nAnswer: 0.3, 0.5, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 41. Suppose 5*g - b = -3. Factor 0*i**2 + 0*i - 2\/5*i**g + 2\/5*i**3 + 0.\nAnswer: -2*i**3*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 4. Let s be 32\/10 - (9 - (10 - 4)). Let h be -2*1\/4*0. Which is the fourth smallest value? (a) s (b) t (c) -0.2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.54916 + 0.04916. Which is the biggest value? (a) -5\/213 (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a - 7?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 8*h - 90 = 0. Let c(t) = -10*t - 4. Let z(b) = -39*b - 15. Calculate h*c(g) - 4*z(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155271.\nAnswer: 3, 73, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229901639 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j - 42*j - 1517 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m**3 + 23*m**2 - 43*m - 48. Calculate k(3).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)*2\/4. Let c(p) = p**3 - 12. Let h be c(0). Let v = 11 + h. Sort v, d, -2 in decreasing order.\nAnswer: d, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i*p**2*q**2 + 2738024*i*p**2 - 86*i*p*q**2 - 819*i*q**2 - 24*p*q**2 + 2*p*q - 2*p - q**2 wrt p?\nAnswer: 2*i*q**2 + 5476048*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -1\/5 (c) -2\/7 (d) 5 (e) -5 (f) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111332*-81.\nAnswer: -9017892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1789484 and 176428?\nAnswer: 12526388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 178 = 3*a, -s - 497 = -4*a - 228. Let y = 52 - 94. Let b = y + a. What is the highest common divisor of 40 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Suppose -3*x - 4*k - 6 = -5*x, 4*x + 4*k - 12 = 0. Which is the closest to -1? (a) l (b) -1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576543 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:46 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 301 + -259. What is the remainder when 670 is divided by l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.912 and -16.\nAnswer: -21.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 173*a**2 + 184*a**2 - 345*a**2. Let v(c) = -c**2. Give r(v(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(84)*1*-5)\/(-3*(sqrt(12) - 2*sqrt(1200))\/sqrt(4)).\nAnswer: 50*sqrt(7)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (784\/(-588))\/((-5)\/(-3)*(-24)\/(-240)*-23)?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0995 rounded to two decimal places?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2568476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7164 to 2 dps.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -a + 74 + 22, 0 = -a - 5*i + 88. Suppose -17*z + 14*z + a = 0. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s - 231 - 73 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.59999588 - -14.6. Round i to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 45*y - 132.\nAnswer: -3*(y - 11)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20913 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 9*g - 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209\/5 + -41. Is h greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 729298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 183.83 from 513571.\nAnswer: 513387.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -30. Calculate the common denominator of (t\/20)\/((-4)\/5) and 11\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*42.64\nAnswer: 170.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14802*d**3*m*p**2 + 120*d**3*m + 334*d**3 - 5*d**2*m*p - 2*d**2*m wrt p?\nAnswer: -29604*d**3*m*p - 5*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226544 + 1225*l - 9214*l - 226544.\nAnswer: -7989*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/8 - (-4)\/((-48)\/(-59901))?\nAnswer: 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-550)\/(-10)*(3\/5 + -1). What is the hundreds digit of g\/99 - (-2)\/18*1244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7690\nAnswer: -2\/3845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 13*t + 6. Let q be z(9). Suppose 5*s = 49 + q. Solve 4*f + 4*c + s = 0, f + 10 = -f - c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 0*t + 0*t - 3561 + 202*t + 3561 + (0 + 0 + 1)*(4*t - t - 2*t).\nAnswer: 202*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -48916 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2374*h - 142*h + 241*h + 831*h. Let d(z) = z**2. Determine d(g(s)).\nAnswer: 10916416*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c + 6 = 0. Let g = -3 + c. Suppose -f = -6*f + 5*k + 5510, 3*f - 2*k - 3301 = g. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4654947 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3626990?\nAnswer: 2, 5, 47, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16 + 15 + -1 + 7. Solve -m*w = -13 - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgutgugguggg. Give prob of sequence gg.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 6, r: 1, a: 2, n: 5}. What is prob of picking 1 n and 1 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1775 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 41*t + 13 - 5*t**2 - 3*t**3 - 69*t - 3*t**2 - 14*t. Is q(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2695\/21)\/(-11)*(-34)\/119?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, a: 4, c: 2}. What is prob of sequence caza?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 3*c - c + (5 - 3 + 0)*(3*c - 4*c + 2*c) - 4*c + 3*c - 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -18*(6 + 148\/(-12) + 2). Which is the closest to 2\/3? (a) -2\/5 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16755 = 2*g + 222*g - 53267. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 111, 106, 101, 96, 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 45*w - 48*w - 117 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 + 259405*k**2 - 14802620*k - 15062020 = 0. What is k?\nAnswer: -51938, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*x = 33736 - 126862. Calculate the greatest common divisor of x and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -718 (base 11) to base 6.\nAnswer: -4002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 6*r**2 + 3*r - 5. Let m be z(-5). Suppose -m*n + 11 = 5*i + 26, 0 = -3*n + 2*i - 14. Is (-3)\/12*37*n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -500\/3 - -166. Let r = 0.121 - 4.121. Sort -2, r, z in increasing order.\nAnswer: r, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 64\/533877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 0*j + 16 = -4*k, 5*j + 19 = -4*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 + 5*g**2 - 10*g**2 - 5*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 y when three letters picked without replacement from njbjujjnjwnyb.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 41044332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 bigger than 5368.129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -45. Let z be 5\/((-20)\/x) + 10. Let m be (-1 - -2)\/((-12)\/(-60)*-5). Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.9 + 11.4. What is the nearest to -2\/7 in 0.1, q, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -17.3. Let u be 20\/(-40) - 15\/(-2). Let k be u\/(294\/(-18)) + (-3)\/7. Put l, -1, k in descending order.\nAnswer: l, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from uxxu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 5*o - d, 4*o = 3*d - 403 + 341 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(18\/(-3))*6\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.011, -4, -0.22, 2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 123 = 168 + 48 - 373 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 65 = 96. Find the third derivative of 50*r**2 - 801 + t*r**5 + 801 wrt r.\nAnswer: 1380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 562 + -560. Which is the nearest to -1? (a) -2\/7 (b) 1\/7 (c) y (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131601262.\nAnswer: 2, 11, 499, 103079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 894 and 52448?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -22*g**3 + 22*g**2 + 45*g + 6. Let u be v(-2). Solve -4*k + u - 160 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106)\/530 - (-1 - 118\/(-135))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3834\/(-30))\/(-9) + -1)\/(9\/120). What is the greatest common factor of g and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 153 = 3*q - 172, -4*y - 5*q + 331 = 0. Let j = 64 - y. Let l be (-2)\/(j\/5 - -2). Solve l*p = p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 20\/(-24))*3*1. Let s = -55 - -55.3. Which is the closest to 0.03? (a) s (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*j + 2*j - 8 = 0, -3*i + 4*j = -14. Let l = -64 + 101. Let q = l + -35. Put 4, q, i in decreasing order.\nAnswer: 4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44942 is divided by 1249?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*6778390.\nAnswer: -2711356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*g + 211 = 66*g - 29 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 24 = 4*i. Let a be i\/(-10)*(-5 + 0). Let x(z) = -7*z - 15. Let r(n) = 3*n + 7. Let m(b) = -5*r(b) - 2*x(b). Give m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w. Let j(r) = 2*r**2. Let q be j(-1). Let y be (-2*8)\/(q\/(-2)). Suppose 4*l = -3*o - 11, 4*l = -o - 3*o - y. Give s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 11*l - 9. Let c be d(12). Solve -p + z + 7 = 0, p - c*p = -z - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/3)\/(3\/72). Suppose -6*j + x = -2*j. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 22*j**2 - 40*j - 473. Give z(18).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84841336.\nAnswer: 2, 10605167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 112471453 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 11 - 14*p - 1 + 1 + 2*p + (-p - 3*p + 2*p)*(2 + 2 - 2).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-69 - 2) + 1)*1. Is (35\/5 + 2)\/((-2)\/m) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:42 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a**3 - 4*a + 2. Let o(k) = 13*k**3 - 4*k**2 + k - 7. Let u(j) = j**3 - j**2 - j - 1. Let v(l) = o(l) - 4*u(l). What is 5*d(c) + 4*v(c)?\nAnswer: -4*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 388 = -135*c + 200 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 + 22*t**3 - 38*t**2 + 18*t = 0 for t.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + -2 + sqrt(180) - sqrt(180) - (sqrt(180) - ((sqrt(180) + -1)*5)**2)) + 2.\nAnswer: -306*sqrt(5) + 4530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 5638?\nAnswer: -5632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 6. Let z be k(-4). Suppose f - n + 2*n - 151 = 0, 4 = z*n. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:31 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/7? (a) -2 (b) 2\/51 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98646 + -690520\/7. Factor h*w**2 + 12\/7 - 10\/7*w.\nAnswer: 2*(w - 3)*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {m: 2, u: 1, x: 1, b: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -0.5 (c) -2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 53. Let q be (-8)\/6*(-27)\/60. Which is the third biggest value? (a) g (b) q (c) -0.01 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i + 2. Let s(o) be the first derivative of 5*o**2\/2 + 2*o + 1. Let m = -960 + 955. Suppose -12 = -4*t + 2*t. Calculate m*s(f) + t*r(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.092944 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21932838 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507856 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22364 is divided by 1487.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*d - d + 198, 387 = 2*l + 5*d. Let f = -116 + l. What is the greatest common factor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60158, 58758, 57372, 56006, 54666, 53358, 52088, 50862?\n\"Answer: a**3 + a**2 - 1410*a + 61566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**7\/70 - q**5\/30 - 9*q**2. Find the third derivative of v(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.538539 rounded to two decimal places?\nAnswer: 434.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28211889, -28211890, -28211891, -28211892?\n\"Answer: -q - 28211888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.237283 litres?\nAnswer: 237.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 i when three letters picked without replacement from {c: 2, e: 7, i: 8, g: 2, v: 1}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 796, -0.036, -2\/7, 0.06.\nAnswer: -2\/7, -0.036, 0.06, 796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 7*c**2 - 12*c + 7. Let v be f(5). What is the units digit of (-659)\/v + 5\/(-3 + 18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-35672)\/2236 + 9*1?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) + sqrt(32))**2 - (-4 + (sqrt(2) + (sqrt(2) - sqrt(2)*-3))**2).\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 777\/52 - 53649\/3640. Find the common denominator of 67\/70 and a.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*j + 3. Let m(r) = 2*r**3 - 5*r**2 + 10*r + 13. Let f(s) = -s**3 + 3*s**2 - 7*s - 9. Let a(t) = j*f(t) + 5*m(t). List the prime factors of a(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwwwwqwqqqqwqnqwww. Give prob of sequence ww.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12010 - -101122110210?\nAnswer: 101122122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173.5139 times 0.1?\nAnswer: 117.35139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 36322*q + 145308. What is n(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -255, -513, -773, -1035?\n\"Answer: -r**2 - 255*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - (-266)\/63. Suppose -f*z + 67 = 5*y - 139, 3*z + 3 = 0. Calculate the greatest common factor of 63 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 + -1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/221 in -0.5, -1\/6, 48\/11, -3\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + m**3 + 7 - 50 + 0*m**4 - 2*m**4 as y + f*m**2 + r*m + h*m**3 + b*m**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/1541 + 78605\/21574. What is the common denominator of n and -119\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10215\/(-8853)*(-10)\/(-15).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165498.57 months to years.\nAnswer: 13791.5475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkk when three letters picked without replacement from gxkkuuxxx?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14191320 divided by 107510.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 3*i + 5*i - 4*i - i + 3*i + (-7 + 2 + 1)*(2 + 4*i - 2))*(i + 2*i + 12*i + (-1 + 1 - 1)*(i - i - 2*i)).\nAnswer: -357*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q - q)*(-2*q**3 + 5*q**2 - 5*q**2) - 4*q**4 - 7*q**4 + q**4.\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17599*h + 17633*h + 16*h**2 - 6*h**2 to c + i*h**2 + b*h and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4467 - 3?\nAnswer: -4471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**6\/360 + p**3\/6 + p. Let r(l) be the second derivative of i(l). Let q(f) = -2*f. What is r(q(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2 - -19 - (31 - -3)) + -18?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 607, 4, 3798, 25.\nAnswer: 4, 25, 607, 3798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1771791 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3298*b - 22. Let t(x) = -660*x - 4. What is -3*g(v) + 16*t(v)?\nAnswer: -666*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -51. Suppose 0 = -0*v - 3*v + 21. Calculate the remainder when q is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-2\/7)\/m)\/m)\/m)\/m*m**16)\/(m**0)**9 assuming m is positive.\nAnswer: m**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 397 + -397. Solve 0 = -p - 1 - h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6 = j + 3*w, 3 = j + 2*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 149*t**4 + 1210*t**3\/3 + 615. Find the third derivative of o(s) wrt s.\nAnswer: 3576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.8 + -1.2. Let a = -26.3 - d. Let n = -1.2 - -5.2. What is the second smallest value in n, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*m - 0*m. Suppose 4*h + m = 41. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, -5, 2, 5 in increasing order.\nAnswer: -120, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 524640 by -6.\nAnswer: -87440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8 - 114\/(-4))\/(-44) and 81\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 332.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 - 11?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -12233?\nAnswer: -12240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = 3. Suppose 4*y - 312 = -0*y - 4*s, -5*s = u*y - 308. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 26 + 0 - (82 - -1).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (445\/25 - (-5 - -9))*10 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5527 (base 11) to base 3.\nAnswer: -100222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*o - 4*b + 2128 = -47*o, 4*o = -4*b + 4264. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/4627 (b) -1.2 (c) -2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 25 = -s, -2*n + 260 - 267 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10*t**2 + 1397*t + 10713. What is z(147)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*k**3 + 7 - 4 + 12 + 187*k**3 - 7*k + 10 as n + z*k**2 + x*k + r*k**3 and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/(-6))\/((-9)\/12). Let a be 3 + 0 + 365\/(-110). Let i = a - 2\/11. What is the second biggest value in i, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 339*a + 106. Let w(u) = 1692*u + 530. Let v(n) = 14*d(n) - 3*w(n). List the prime factors of v(-4).\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e8de + -4?\nAnswer: e8da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6262558*c**4 + 7*c**3 - 9183*c**2 - 5202 wrt c.\nAnswer: -150301392*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -f + 12, 12*r - 2*f + 5*f = f - 66 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10765 is divided by 251?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - t + t + 0*t + t + 2*t - t + 1 - 1 + (0 + 2 + 0)*(2*t - 4 + 4) - 5*t + 3*t + 3*t + 5 - 5 - 3*t + (0 - 4 + 2)*(4*t - t - 5*t) to j*t + f and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5))**(-4)\/(d**(-6)*d**(-13)) assuming d is positive.\nAnswer: d**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766002787.\nAnswer: 11, 23, 487, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from eeggee?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 3*m**2 + 13*m + 10. What is g(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-20))\/(2\/((-64)\/44))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37.45496 from -6.\nAnswer: 31.45496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c9 - 4?\nAnswer: 1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79654464*g**2*i**2 + 317945*g**2*i + 78*i wrt i.\nAnswer: 159308928*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114619110 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*z = -18 + 73 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -31) + (-1 - (-1 - -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*f + 6912 = 0. Let x = -565 - f. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87*f*i**3*m - f*i**3 + 3*i**3*m + 205*m wrt f?\nAnswer: 87*i**3*m - i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/81406787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Suppose u = -2*b + 3*b - 4. Let p(y) = -4*y + 0*y + 2*y - b*y. Let h(a) = a. Calculate p(h(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*45\/18. Let z = -17 + 26. Let s(p) = p**2 - 9*p + 2. Let r be s(z). Which is the smallest value? (a) g (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:50 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03646114 rounded to 4 decimal places?\nAnswer: -0.0365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -33 + (0 - -4) - (10 + 16 + 0)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001534175 rounded to six decimal places?\nAnswer: 0.001534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 11:43 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 1. Let d(r) = r**3 + 51*r**2 + 82. Let w(m) = d(m) - 2*n(m). Find the first derivative of w(a) wrt a.\nAnswer: 3*a**2 + 98*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213662 is divided by 3561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -3. Let b(q) = -30*q - 1100. Let y be b(-43). Suppose -m + l*m = y. What is the highest common divisor of 95 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/29 + -11\/174. Let i = 54 + -58. What is the third biggest value in -5, 5, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 289?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 - 187 = -19*y. Solve 3*j - y = -4*n, -2*n - j + 5 = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-154)\/231)\/((-6)\/3))\/((-1)\/36).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 28. Determine u(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10011010000000?\nAnswer: -10011010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126903457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9326, -16199, -23074, -29951, -36830, -43711?\nAnswer: -50594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 2. Let g = v + -5. Let q be (g - -15) + -2 + 2. Solve 5*a - 2*k - 5 = 0, 4*a - 5 = 5*k + q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 153. Let p = l - -56. Do -8 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5959, 5948, 5923, 5878, 5807, 5704, 5563?\n\"Answer: -s**3 - s**2 - s + 5962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 3*x**2 - 2*x - 1. Let s be a(-3). Suppose -s*o + 8 + 12 = 0. Calculate the highest common divisor of o and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/22 + 151*z**3\/33 - 102*z**2\/11 - 253*z. What is y in n(y) = 0?\nAnswer: -51, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 305 and 23973?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 1 + 1 + (2*d + 2*d - 2*d)*(2*d - 4 + 4) + 2 - 2 + d**2 + d**2 + d - d - 3*d**2 - 3*d**2 + 4*d**2 + 9*d**2 + 2*d - 176 - 167 + 350.\nAnswer: 14*d**2 + 2*d + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1717554794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/66 - (-84)\/22. Solve -5*z + 8 = -5*l + 28, -14 = 2*z + b*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 581 (b) -4 (c) -0.4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 416 - 649. Suppose 4*x + w = 1732, 4*x - x = 2*w + 1299. Let a = l + x. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 914, 4, -6, 34, 5, -4 in decreasing order.\nAnswer: 914, 34, 5, 4, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10) - 0)\/((-11516)\/359875)*2\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - 6*r - 777 - 368 - 269 + 938 to the form d + x*r + s*r**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yoyisbopiisobo. What is prob of sequence poyb?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-7)\/6) - -51. Suppose -4*b - 2*d + 488 = 0, 260 = b + b + 5*d. What is the greatest common divisor of j and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3648552 (base 9) to base 6\nAnswer: -110243545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 12*l + 4 = 0. Solve l = -5*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4548047, 9096089, 13644131?\nAnswer: 18192173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 4*g**2 - 10 - 1.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:08 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 97*b**5\/20 - 161*b**4\/6 - 6*b - 11. Find the third derivative of h(n) wrt n.\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*d - 114, -3*d + 171 = -5*f - 0*d. Let x be ((-6)\/(-12))\/((-2)\/f). Which is bigger: x or 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49542597, -49542598, -49542599, -49542600?\n\"Answer: -u - 49542596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*o**3 - 70*o**3 - 70*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 7:02 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 + 21 = 0. Let i = -3 - o. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + j**3 - 2)*(-1 + 2 - 3)*(262 - 9 + 2073).\nAnswer: -4652*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than 6369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y - 4362 - 2*y - 4341 + 8481 - 6*y.\nAnswer: -y - 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + (-5 + 17 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.3. Let d = 7.9 + -8. Let o = d + -0.1. What is the closest to z in o, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 117, 162, 185, 174, 117, 2, -183, -450?\n\"Answer: -2*f**3 + f**2 + 56*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2640 is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8103 and 23199.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 + 4*k**2 - 6*k - 3. Let q(j) = -2*j**3 - 4*j**2 + 5*j + 3. Let n(g) = 4*q(g) + 3*w(g). Determine n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004795505327 to 5 dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -240695885686082*a**2\/7 + 175525136*a\/7 - 32\/7.\nAnswer: -2*(10970321*a - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(4 + 2*sqrt(300)) + sqrt(300) + sqrt(300) + 5*(1*sqrt(300) + sqrt(300)) + 2)**2 + -2.\nAnswer: 2800*sqrt(3) + 58898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5\/4, 2554, 0, -4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6 - 4768*g - 6 - 9 + 5 - 9. Is w(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 379, 570, 761, 952?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 25, -0.4, 87, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 365640 to the power of 1\/2, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4 - 1)\/((-6)\/(-2)) and (84\/40)\/(60\/175)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 - -3.1. Let h = 4.107 - 9.107. Which is the closest to -0.2? (a) h (b) 17 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3972 - -4077. Calculate the least common multiple of i and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 49.14. Let t = 3.2 + c. Let b = -0.0604 + t. Round b to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2583)\/(-28) - (-1 - 9)\/(-40). Solve 0 = -22*s - 268 + d for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352988454 to the nearest integer?\nAnswer: 18788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.99 + -0.01. Let f = 0.3 + -0.5. Let d = 0.2 - f. Sort r, d, -0.2.\nAnswer: r, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*p = 53, a + 0*a = -3*p + 13. Suppose 29*j - a*j = 0. Which is bigger: -1\/34 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043 + 0.1?\nAnswer: 2043.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 672?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**3 + 3*a**3 + 4*a**3)*(1 + 2*a**2 - 1) - 14 + 5*a**5 + 14 - a**4 + a**4 - a**5.\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2241 - 8.7759. Which is the nearest to i? (a) -0.07 (b) -2\/11 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0*z**3 - 3*z**3 - 2*z**3 - 2*z**3 + 6*z**3 + (4 - 3 - 2)*(-2*z**3 - 2*z**3 + 0*z**3) + 0*z - z**3 + 0*z)*(1 - 1 + 2*z).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000311301 to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2377.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 97963835, 195927673, 293891511, 391855349?\n\"Answer: 97963838*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p*p**40)*p*p)\/p)**(-1\/27))**9)**(-2\/17))**(11\/6) assuming p is positive.\nAnswer: p**(-143\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnnxtnx. Give prob of sequence xn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 13\/(-2))\/((-2)\/4). Differentiate 24*k**2 - 4*k + 9*k**2 - 82 + 5*k**2 - v*k**2 + 3*k with respect to k.\nAnswer: 70*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 146? (a) -1513 (b) 2\/9 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 1\/2, 0.3, 2\/51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1033331013 (base 4) to base 10\nAnswer: 327495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 388\/13 - 2690\/91. Let h = 0.083 - -0.917. What is the nearest to m in -1\/4, 2\/15, -2, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 6*d - 7. Let k be r(-4). Let q be (42\/(-10) + k)\/((-11)\/11). Factor -8\/5 - q*u - 2*u**2 - 2\/5*u**3.\nAnswer: -2*(u + 1)*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 35, 45, 55?\n\"Answer: 10*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3648 and 77722464?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 25 = -35. Suppose -3*c = -v + 8. Calculate the smallest common multiple of c and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = 0. Let k(j) = 7*j**2 + 13*j + 13. Let r(q) = 20*q**2 + 38*q + 38. Let a(g) = -17*k(g) + 6*r(g). Let n be a(-6). Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34690512359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2101716 and 47\/124152.\nAnswer: 29424024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 + 59 = 8*q. Calculate the highest common factor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12639 and -13969346.\nAnswer: -13956707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {x: 1, w: 3, y: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 413, 412, 411?\n\"Answer: -x + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 8567*j - 24. Let s(g) = -23*g. What is s(y(o))?\nAnswer: 23*o**2 + 197041*o + 552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2 - 735*q - 29400 = 0.\nAnswer: -35, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 2:17 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4 (c) -1\/7 (d) 11\/38 (e) 5 (f) -2\/7 (g) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**2. Let r(j) be the first derivative of 2*j**3\/3 - 1. Let w(l) = -l**2. Let c(h) = 4*r(h) + 6*w(h). Calculate c(q(y)).\nAnswer: 98*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/29 (b) 8 (c) 3 (d) 7683\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 462?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1562? (a) -4 (b) 0.2 (c) -5 (d) -10 (e) -0.4 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106794 is divided by 106714?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*(-1)\/5 + -1. Let s = -487 - 129. Let o = s - -615.1. Which is the fourth biggest value? (a) -4 (b) r (c) o (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2 + 106*c - 125. What is l(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3642429482?\nAnswer: 2, 1571, 1159271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 40 = 13*l. Solve -l*i + 29 - 4 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000005976 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 285324884 to the power of 1\/3, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894730271?\nAnswer: 3, 7, 23, 1619, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/(-18) + -5 + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -45*y**3 + 2*y**2 - 1. Let q be h(1). What is the common denominator of 0\/(-2) + (-737)\/(-132) and q\/64 + 2\/4?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-17)\/((g*g**(-4))\/g*g)*((g*g*g**(-6)\/g)\/g)**(-4) assuming g is positive.\nAnswer: g**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(2 + 158) - 10. Which is greater: 791 or q?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 1, b: 1, e: 3, p: 1}. Give prob of sequence npe.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.14 + -1.7. Let l = g + 0.5. Let n = l - -0.06. Which is the third biggest value? (a) n (b) -1\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h**(1\/70)\/h*h)\/h*h\/h**(-1\/2)*h*(h**(-1\/11))**(-1\/12) assuming h is positive.\nAnswer: h**(11651\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 - (-1 - (-1 + 0)) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(117\/21)*10179\/819\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*u + 90*u + 87*u - 265*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) 12\/5 (b) 5 (c) -349 (d) 3\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:01 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + r - 1844 - r + 1844.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l**4 - 238*l**3 - 5*l**2 + 13970?\nAnswer: 16*l**3 - 714*l**2 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9678\/39 + 12\/(-78). Calculate the highest common factor of 31 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1261.18+187.12493\nAnswer: -1074.05507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 474270956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2743*a + 800962. Calculate m(292).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6626402 (base 10) to base 2\nAnswer: 11001010001110001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + -7)\/(2\/14). Let q = -36 - -191. Let c = q + j. Is c a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:50 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 494396\/235 less than 2105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 22*n**2 + 45*n + 74. Calculate m(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/(-144) - (5 - 6)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5746 is divided by 1492.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*i + 9*i**2 + 21*i - 11*i**2 - i**3 + 6 - 6*i in the form m + k*i**2 + a*i + z*i**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-8 + -3) - (-1 + 2) - 14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10678452 divided by 6.\nAnswer: 1779742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91.733114 and 0.013?\nAnswer: 91.746114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 44*h = 192. Suppose -h*z - 16 = -18*z. Let o = 49 + -28. Calculate the remainder when o is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -861 divided by -21.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = -29*n - 59*n. Solve 10*i + n = -20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 95466816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7\/3)\/m*m**(-1\/9))\/(m**(11\/2))**40 assuming m is positive.\nAnswer: m**(-2011\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410389.3 kilometers to centimeters.\nAnswer: 41038930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -20*i - 101. Let v = 14 + -15. What is the tens digit of i\/(-2)*-38*v + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 1056 = 19*y. Which is the third smallest value? (a) y (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k**3 - 226*k**2 - 29*k + 6. Calculate the remainder when 190 is divided by g(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 152990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 18*a + 6 = -c, 0 = -3*c - 3. Let o be a*1\/25*-5. Put -1, -3, -59, o in descending order.\nAnswer: o, -1, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199729543.\nAnswer: 13, 131, 117281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + sqrt(19) + -2 + 3))**2.\nAnswer: 48*sqrt(19) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22308685 and 1.\nAnswer: -22308685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010110111 - -100?\nAnswer: 10111010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + -2)*-5 - ((sqrt(363) + 5)**2 + 2) - (-4 + ((sqrt(363) + -1 + sqrt(363) + sqrt(363))*-4 - (sqrt(363) + -1*sqrt(363) + 0))**2).\nAnswer: -52664 + 891*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0 (c) -1 (d) 7\/9 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 - 4*b**3 + 4*b**2)*(-3 + 2 - 6) in the form j*b + p*b**2 + x*b**3 + w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 4118, 13910, 32972, 64394, 111266?\nAnswer: 176678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459215905.\nAnswer: 5, 91843181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**2 - 451040*p + 4961924 = 0?\nAnswer: -112771, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 127 - 161. Calculate the remainder when w is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193807846 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than -13.2798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:44 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(50)*1)\/sqrt(10) + (sqrt(5) + 0)*-5 + sqrt(25)\/sqrt(45).\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 105.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 726096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -2, 1242.\nAnswer: -4, -2, 3, 1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7831453 minus -805?\nAnswer: 808.7831453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + 73\/(3285\/(-1800)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/17 (b) -64 (c) 3 (d) -2.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301 plus -3.62676?\nAnswer: -2304.62676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 - 3)*(230*m - 1102*m - 709*m).\nAnswer: -7905*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20*1\/(-4))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-14)*-4)\/((-184)\/161)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 81.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -18, -4, 0 in decreasing order.\nAnswer: 3, 0, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 61 (c) 2\/9 (d) -116 (e) -1\/4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t + 2. Let q = -22 + 19. Let j(k) = -3*k - 1. Give q*l(b) - 5*j(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3561516 divided by -36342.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/10 - s**4\/4 + 49*s**3\/6 - 3*s**2\/2 + 3401*s. Let x(g) = 6*g**3 - 8*g**2 + 147*g - 8. Give -8*a(f) + 3*x(f).\nAnswer: 2*f**3 + 49*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 0*c + 5 + 4 = -c - 15, 5*r + 43*c = -31 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85641690 is divided by 854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 76*j + 6615. Let o be r(-87). Let t(v) be the third derivative of 32*v**2 - 2\/3*v**o + 1\/24*v**4 + 0 + 0*v. Calculate t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6122.9546 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**8\/6720 - f**7\/630 + f**4\/6 - 4*f. Let r(x) be the third derivative of u(x). What is the third derivative of r(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/12*(-18)\/(-45).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01709 + 0.51709. Which is the fifth biggest value? (a) 2 (b) 1 (c) o (d) 2\/3 (e) 2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/8*(-64)\/(-240)*3\/3\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -108.995899 - -4\nAnswer: -104.995899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67664 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19437*c**2 - 19437*c**2 - 6*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 213231, 213099, 212945, 212769, 212571, 212351, 212109?\n\"Answer: -11*l**2 - 99*l + 213341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 + 224. Let u = -15 + 21. Solve u - b = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81725 and 152709.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81282 divided by -589?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29422299 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-4)\/((-4)\/91). Let u = 132 + w. Suppose -5*q + u = 4*k, 2*q = -k + 5*q + 31. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 7:05 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 1491090?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 + (-438)\/(-24). Let w be (-24)\/n*3\/(-2). Find the third derivative of 0*d**w - 4*d**2 - 2*d**6 + d**2 wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 62256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/60*280\/(-105). Let l = 25 + -49\/2. What is the nearest to l in b, 2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysd when three letters picked without replacement from {t: 1, d: 1, y: 1, s: 5, i: 4}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 10*c**3 - 5*c**3 - 215*c**4 + (0*c - 3*c + 2*c)*(2*c**3 - 7*c**3 + 2*c**3).\nAnswer: -212*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*x**2 - 4\/3 + 0*x.\nAnswer: (x - 2)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -55*j**2 + j + 1. Let l(a) be the first derivative of a**3\/3 + a + 8. Let m(s) = -2*l(s) - o(s). What is the second derivative of m(c) wrt c?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7670, 7761, 7916, 8135, 8418, 8765, 9176?\nAnswer: 9651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 709 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/45)\/g*(g**(2\/19)*g)\/g assuming g is positive.\nAnswer: g**(-803\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfx when three letters picked without replacement from fhfwhxufhxlxfx.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4419*h**3 + 9*h**2 + 533576*h wrt h.\nAnswer: 26514*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakkaddk. What is prob of sequence ka?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-16)*-4*10\/(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42129 and 640089?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*b + 4*b**2 - 704*b + 330*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3562*c + 13422*c - 1750 = 17970 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39096756 divided by 57159?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2756*l - 2754*l + 3 + 1. Let g(b) = b**3 + 9*b**2 - 3. Let r be g(-9). Let u(h) = -h - 4. Let d be u(r). Put l, 2, 5, d in decreasing order.\nAnswer: 5, 2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36389681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 470 and 395035.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/2)\/((-2)\/6). Let p be -4*((-5)\/(-2))\/(-5). Let b(c) = -3 + 0 + 1 - p - c. Give b(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:01 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2 = -23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 163*o - 1625. What is g(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -5, -21, -669, -10, 2 in increasing order.\nAnswer: -669, -21, -10, -5, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(((-27)\/15)\/3). What is p in -5*p**3 + 2*p - 137*p + 20*p**2 + b*p**2 + 135 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 3. Let j(b) be the second derivative of b**3\/6 - b**2\/2 + b. Suppose 0 = -2*g, -g = 5*t - 8 + 3. Determine t*v(w) - 2*j(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 21*v**3 + 1. Let c be 40\/8 + 2*-2. Is n(c) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288141815 to the nearest integer?\nAnswer: 16975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/3 - 43*j**3\/3 - 146*j**2 + 572*j\/3 + 968\/3 = 0. Calculate j.\nAnswer: -22, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 452257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/45)\/(-6 - (-130)\/15). Let v = 1.1 + 0.3. Let p = v + -0.4. Which is the nearest to p? (a) 0.4 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 46 = 2*z, -4*p + 4 + 4 = 0. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 19*a**2 - 1723*a - 540. Determine s(91).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033278 rounded to four dps?\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1)\/(-150))\/(6\/(-24)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339834 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*z - 344, 8*j - 11*j + 6 = 0. Suppose -58*t + 77*t = z. Solve 3*d = -0*d - t, -3 = -v + d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4224 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 3841.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 5*m**3 + 0*m**3)*(2 + 2 - 2) + 540*m**3 + 619171*m - 619171*m.\nAnswer: 538*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64\/((24 - 12)\/24) and 80?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9*d*d*d**(-4\/5))**(1\/65)\/((d**(1\/2))**(-2\/49))**(17\/2) assuming d is positive.\nAnswer: d**(10523\/31850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11)**(4\/3)\/(t**(-2\/21)\/(t*t**(2\/27))) assuming t is positive.\nAnswer: t**(2993\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) -1\/6 (d) 0.684\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4682a8 (base 16) to base 5.\nAnswer: 2140332333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**4 - a**2 + 1. Let k(z) = 4*z**5 + 81*z**4 + 492*z**3 + 747*z**2 + 336*z + 1. Let b(l) = -j(l) + k(l). Determine t, given that b(t) = 0.\nAnswer: -12, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/2 + 53181*a**2\/2 + 1170708*a + 12880450 = 0.\nAnswer: -22, 53225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:52 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - 531461?\nAnswer: -531515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 38*v**2 - 41*v + 122. What is x(37)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - f + 786 = 2*u, -f = 2*u - 394. Suppose -5*l = 3*k - u, l = 2*l + 4. Suppose -12*q + 8*q + k = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 17 = h + 5, 6 = 2*h + 2*a. Suppose -53354849 - 96645151 = -h*g. What is g rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54592?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2051 (b) -14160\/23 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j + 7. Let t be y(5). Let k = t + 56. Let v = k + -4. Calculate the greatest common divisor of v and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a factor of 153495783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**4\/8 - 6*o**2. Let y(w) = -6*w + 4. Let j(t) = -5*t + 3. Let q(n) = -4*j(n) + 3*y(n). Give l(q(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6610 and 11600?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10480 by -2.\nAnswer: 5240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from mqrmmrurmer.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*y + y - 9 = 0, l = -4*y - 3. What is the closest to l in -5, -2\/3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84147296069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 + 1 - -2) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 - 12*j**2 - 16*j**2 + 68*j**2.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10313 + 115?\nAnswer: 10431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 5*z - 7. Let c = 56639 + -56573. Calculate the remainder when c is divided by v(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from oooooooooovovv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:50 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0 - 2\/5*v**2 + 1\/5*v**3 - v + 0*v**4 - 1\/50*v**5. Factor i(o).\nAnswer: -2*(o - 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 312\/28)\/((-42)\/(-7644)). Which is smaller: 2391 or a?\nAnswer: 2391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 14. Let s = 29 - 21. Let y be n(s). Solve y*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162159 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + l - 25703, -2*x + 2997 = -4*l - 9841. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, r: 6, k: 2, n: 2}. Give prob of sequence nnrf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((16 - 31) + 11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53155888 is divided by 1632?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 336991557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1538 + 1541. Let s = -0.1 + -0.9. Let m = s - -5. Which is the biggest value? (a) 4\/3 (b) o (c) m (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0375995 - 0.098.\nAnswer: 0.9395995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -109*g**6\/20 - 29*g**5\/60 + 657*g**2. Find the third derivative of l(o) wrt o.\nAnswer: -3924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -423 or -422?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 7:07 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/132176 and 27\/37136.\nAnswer: 27889136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (14 - 52) + (-230)\/15 + 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**5 - 3*p**5 + 6*p**5)*(1 + 6 - 5 - 2 + 5 - 1 + 3 - 2 - 2 + (4 - 1 - 2)*(6 - 1 - 3))*(457 + 446 - 183).\nAnswer: 3600*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -27 + 63 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571 = -n + 3*b, 7*n = 12*n - 5*b - 2815. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 9:19 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v. Let i(c) = 4*c**2 - 46. What is i(s(w))?\nAnswer: 36*w**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-5\/2)\/r)\/r)\/r)\/r*(r*r**8\/r)\/r)**31 assuming r is positive.\nAnswer: r**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13*h**3 + 15*h**2 + 10*h. Let y(n) = 13*n**3 - 15*n**2 - 12*n. Let v(f) = 7*c(f) + 6*y(f). Determine g, given that v(g) = 0.\nAnswer: 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77914 is divided by 12552.\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 2*r + 5. Let p be 2\/(-3*(-2)\/12). Let v be u(p). Suppose v + 4 = 3*x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (1 + -1)\/3. What is the remainder when 165 is divided by -4 + n*(-69)\/(12\/4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/12 (b) 0.5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 + 6*u - 189\/5.\nAnswer: -(u - 21)*(u - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1571262 divided by -4.\nAnswer: -785631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35665 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7611 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-48.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3 + 3212*l**2 - 6436*l + 3220 = 0. Calculate l.\nAnswer: -805, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -c0673 (base 14) to base 16\nAnswer: -70dbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssswsss. What is prob of sequence sws?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13500 divided by 108.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -17. Let k = v - -1. Let s be (3 + -6)\/(k*1). Sort -0.1, -0.2, s.\nAnswer: s, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - l = d + 81, 141 = 3*d + 5*l. Suppose 0 = 4*o - 8, 0 = 4*h + 3*o - 20 - d. Suppose 111 = k - 1. What is the greatest common factor of k and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h + 2209*h - 300*h - 461*h + 1505*h.\nAnswer: 2961*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h - 4. Let n be ((-1)\/(-2))\/(5\/(-60)). What is the remainder when s(n) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -28.48 (b) -1 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.06 + 6.749. What is q rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -18. Let f = 3 + -2.8. What is the third smallest value in a, f, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.359 take away -12456004950?\nAnswer: 12456005021.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4072 - -4071.95008. Round r to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + -1. Let x = o - 0.6. Suppose -2*f = h + 3 + 3, 3*f - 3*h = 0. Which is the third biggest value? (a) f (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173852?\nAnswer: 2, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -319, -2001, -5041, -9439, -15195, -22309, -30781?\n\"Answer: -679*q**2 + 355*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59, 176, 307, 452, 611, 784?\n\"Answer: 7*n**2 + 96*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8234, 8199, 8138, 8045, 7914, 7739?\n\"Answer: -p**3 - 7*p**2 - 7*p + 8249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-6)\/(-72)*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1085*s**4 + 5442*s**3 + 209227238*s?\nAnswer: 13020*s**2 + 32652*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 1007.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 17 - 9 + 7)*(-4 + 2*d**3 + 4).\nAnswer: -2*d**4 + 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0 + 0*t**5 - 5\/42*t**7 + 0*t**2 - t**3 + t + 0*t**6 + 0*t**4. Find the second derivative of a(z) wrt z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 + 6*q + 6. Let o(x) = x**2 + 37*x + 13. Let l(h) = -6*h - 2. Let f(m) = -6*l(m) - o(m). Suppose 5*b = -0 - 5. What is b*d(v) - 5*f(v)?\nAnswer: -v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.7727 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15.882 and 134.\nAnswer: 149.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2554 - -2567. What is the greatest common divisor of 949 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-3))\/(((-343650)\/116)\/(-79))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 24. Let c = 1.55 + -1.8. Let u = c - 0.05. Is o smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c75c (base 13) to base 2.\nAnswer: 110000100101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 6*y**2 - 3*y + 5. Let n be b(5). Let o be (6\/n)\/(12\/(-10)). Is o at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/15*2)\/((-2)\/(-290)). Suppose 5*p + 0*v - z = 2*v, -4*p + 4*v = -44. Calculate the least common multiple of p and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 138 = g. Let o(k) = -k**3 - 21*k**2 + 44*k + 23. Let j be o(g). What is the greatest common divisor of j and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8341.\nAnswer: 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + (-4)\/(-2))\/(-2). Solve 9 = 5*k - y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(20)*-5))\/(1*sqrt(98)*4 + sqrt(98)).\nAnswer: -sqrt(13)\/350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 7, 0 = -2571*j + 2574*j - 4*u - 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241*d**2*m**3 - 2710*d**2*m**2 - 2*d**2 - 1774*d*m**5 - 2*d*m**2 + d*m + 6*d wrt m.\nAnswer: 1446*d**2 - 106440*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8 = 92. Suppose 2*g - g = c. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/12*39*-10. Find the common denominator of -22\/7 and (-52)\/(-65)*z\/70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 69*s - 1711. What is z(-20)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -228.2 * 0.034436\nAnswer: -7.8582952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3*z. Let n be d(-6). Suppose 2*a + 0*a = n. Let q be 6\/27 + (-38)\/a. Is -5 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17687.53871 rounded to the nearest 100?\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 0. What is the highest common divisor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985313547 + 42*r + 985313547.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19668750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99*d**3 + 1482*d**2 - 1482*d**2)*(5*d - 5*d - d)*(3 + 8 + 4) - d**4 - d**4 + 4*d**4 in the form u*d**2 + c + j*d**3 + b*d + v*d**4 and give v.\nAnswer: 1487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -bacb7 (base 16) in base 6?\nAnswer: -24222103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.582554 times 0.1?\nAnswer: -0.0582554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2180613 (base 10) to base 14.\nAnswer: -40a981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 25*z**2 + 122*z - 151. Give q(29).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 45*a - 42*a = -69, -42 = -2*o + 4*a. Calculate the remainder when 297 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = -4*c. Suppose 3*t + 15 = -2*h + c, 5*h + 30 = 4*t. Let s = 7 + h. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90259 by 131.\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -13*o**3\/3 - 16*o + 3. Differentiate q(l) with respect to l.\nAnswer: -26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2))**(-11\/4))**(-43)*(v**(-1\/3)*v**2\/v)**43 assuming v is positive.\nAnswer: v**(4601\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5639 + 5636. Let f = -0.3 - -0.5. Which is the nearest to f? (a) 3\/2 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 10*h + 34*h - 24*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4389.235mm to meters.\nAnswer: 4.389235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2737792 - 13237*o**2 - 2737792 as l*o + d*o**2 + u and give d.\nAnswer: -13237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2295, 2268, 2241?\n\"Answer: -27*k + 2322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*n = 16, -4*k - 4*n + 13 = -k. Factor i + 3*i - 3*i**3 - 6*i**2 + 6*i**k - i.\nAnswer: 3*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 976*a - 21509580 + 21509580.\nAnswer: 976*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1154442?\nAnswer: 2308884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 2*o - 4, -3*l - 114860 = 5*o - 114859 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1dc767 (base 14) to base 16\nAnswer: -105a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056496345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -23*z**7\/105 + z**3\/3 - 97*z**2\/2 - 47*z. Let n(r) be the first derivative of w(r). Differentiate n(p) wrt p.\nAnswer: -184*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167794.8m in micrometers?\nAnswer: 167794800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 2*v**2 + 9*v - 13. Give f(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10)*-5)\/((-722)\/(-20938))\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, d: 3, v: 3}. Give prob of sequence wvvw.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 2*g**2 - 4 + 0 - 2*g**2 + 5*g. Let s be k(3). Suppose s*t = 8 - 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-162) + (-133)\/(-9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2145.69 months?\nAnswer: 1.788075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**3 + 94*r**2 - 2382*r - 4341. Differentiate o(d) wrt d.\nAnswer: -6*d + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -291*w + 1. Is f(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 4*v - 5*v + 23*v to the form q*v + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231111 - 122?\nAnswer: -231233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 16. What is the nearest to -2 in 0.2, p, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1657*w**2 - 14. Let r(q) = -553*q**2 + 5. What is 8*r(j) + 3*u(j)?\nAnswer: 547*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-35)\/15 - 3. Suppose 4*a - 3708 = -v*t + 3068, -3380 = -2*t - 4*a. What is the units digit of 4\/(-8) + t\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*o**2 + 2*o**3 - 9*o**2 - 12*o**2 - 2*o - 3 to the form u + i*o**2 + s*o + l*o**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 423189 - 82?\nAnswer: 423107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7240486.\nAnswer: 2, 11, 397, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 3, b: 4}. Give prob of sequence ke.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 51, -2*g - g - 2*r - 4*r - 19 - 83 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 18. Suppose -q*g + g = -82. Calculate the remainder when g is divided by (-343)\/(-21) + 4\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzjzzzzzzzzjzzzz. What is prob of sequence jj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21286, 42568, 63850, 85132, 106414?\nAnswer: 127696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {k: 2, b: 6, j: 8, l: 2}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 185*t + 737. Calculate s(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 23*i**2 - 16*i + 436. What is the thousands digit of o(-29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*i + 103, -a - 4*i - 41 = 4. Let h = 69 + a. Suppose -r = -6*r + h. Solve -k + 6 = -r*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/12 + 25*c**4\/8 - 85*c**3\/3 - 329*c**2. Solve q(x) = 0 for x.\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2 + 12*s + 28. Let b(l) = -14*l**2 - 22*l - 54. Let g(n) = 2*b(n) + 5*x(n). Factor g(q).\nAnswer: 2*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -44, -46?\n\"Answer: -2*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/47)*r**(8\/5) assuming r is positive.\nAnswer: r**(366\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477.4744 millennia to centuries.\nAnswer: 4774.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6*p = 2*p + 3, -2 = -p. Suppose 3*w - 56 = -50. Put 8, 0, d, w in descending order.\nAnswer: 8, w, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30884 times 820\nAnswer: -25324880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 5. Let v be y(6). Let p(s) = 7*s + 14. Let u(w) = -5*w - 9. Let l(n) = 5*p(n) + 8*u(n). What is the units digit of l(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, i: 2}. Give prob of picking 1 i and 2 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -82a29 + -6?\nAnswer: -82a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 33*b**2 - 8. Let u(d) = -65*d**2 + 15. What is 11*k(z) + 6*u(z)?\nAnswer: -27*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 158*z = 162*z + 6, -4*o + 4*z - 8 = -4*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 106206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1862772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 26*k**2 + 66*k - 3. Let q(w) = -5*w**2 - 2*w + 1. What is 5*q(v) + s(v)?\nAnswer: v**2 + 56*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 219, 318, 401, 462, 495, 494?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c697d - -47?\nAnswer: -c6936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.2, 5, -39\/4, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 + 5*t + 4. Let c = 119 - 116. Let s be i(c). Suppose 0 = 2*r + s - 90. Solve a = b, -r*a - 4*b + 26 = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.96 and -17492564.2497.\nAnswer: -17492578.2097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o*x**2*z - o*x**2 + 3*o*x - 21*o*z + 2*x**2*z - 5*z wrt x?\nAnswer: 4*o*x*z - 2*o*x + 3*o + 4*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164.565g in tonnes?\nAnswer: 0.004164565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/10)*n)\/n**7*(n**9)**(-9) assuming n is positive.\nAnswer: n**(-869\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**4\/24 - 7*y**3\/6 - y**2. Let z(v) = -4*v. Let o be z(-1). What is w(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3) + (5 - (-6 - -2)) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6\/11)*(v\/(v**(-2\/9)\/v))\/v*v*(v*v*v*v\/((v\/((v**(-19\/5)\/v)\/v))\/v*v))**(-1\/4) assuming v is positive.\nAnswer: v**(2353\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 28.78122\nAnswer: 489.28074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 4*l - 4*l + 0*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111110 + 12?\nAnswer: -2111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 3\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**4\/4 + 2*t**3 + 3*t**2 + 2*t + 2. Let z be c(7). Let y = z + 17. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 5, 11 = 8*l - 13*l + 4*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 4*b + b + 12)*(-4 + 2 + 1) to the form y + n*b and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.5 + -5. Let h = 1 - v. What is the second biggest value in -1, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10060 and -4.\nAnswer: -40240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 293, 624, 907, 1136, 1305, 1408?\n\"Answer: -y**3 - 18*y**2 + 392*y - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + -1 - ((sqrt(10)\/sqrt(2))**2 + 1).\nAnswer: -7 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19388 and 285056.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = -2*i - 14, 0 = 5*k + i - 11. Suppose 1 = -n + k. What is the second derivative of 39*w - 13*w + 10*w**n - 17*w wrt w?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-17)\/((-340)\/15))\/((-3)\/(-16)). Suppose 3*x = -i + 909, 4*x + 3556 = -t*i + 8*i. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*d + 25 = 0, 8*a - 3*d - 15 = 3*a. Let m = a + 0. Is -1\/7 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9*v - 36. Suppose 0 = j + v*j - 85960. Suppose -4*x + 0*x + j = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3171.7 + -3171.66. What is the nearest to j in -2\/3, 2, 0.3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2512 or 47\/7?\nAnswer: 2512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1755786.\nAnswer: -2\/877893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - a = 6*p - 5, -7 = -3*p + a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/6149 and -32\/209576367.\nAnswer: 209576367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10492, -20991, -31490?\n\"Answer: -10499*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 11153804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(70\/(-2 + 12))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 98?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.111878 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (969\/(-38))\/(23\/736*-16).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**2\/2 + 13*p + 2. Suppose 7*r + 45 = 2*r. Let c(w) = -3. Calculate r*c(h) - 2*n(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -1665717.\nAnswer: -1665717.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -5*c - 3*f, 55*f - 60*f = 23*c + 152 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11254641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -219516.\nAnswer: -219515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 42. What are the prime factors of v(15)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/20 + 7*r**4\/12 - r**3\/3 + r. What are the prime factors of c(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(882)*4 - 2*(sqrt(882) - (sqrt(882)*-2 + sqrt(882))))\/(((-2*sqrt(120))\/sqrt(10))\/((-1*sqrt(10))\/sqrt(5))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:57 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61205652330555559 - 61205652330555556 - 3*t.\nAnswer: -3*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-456) + 1\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {t: 1, s: 1, q: 3, m: 3, f: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 105.04. Let u = i + -5. Let t = u - 0.16. What is the nearest to t in 1, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91870582 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyxxyxxxyyxyyx. Give prob of sequence xxy.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1700830.\nAnswer: 2, 5, 283, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257596, -257598, -257600?\nAnswer: -257602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:32 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 27*c**4 + 81117*c**3 + 60885048*c**2 - 60966192*c = 0.\nAnswer: -4508\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -15931980 greater than -15931980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 + (-12)\/(-9) + (-12760)\/(-696). Solve -35*l + y*l = -96 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 264688 - 1848234\/7. Let s = 656 - x. Calculate the common denominator of 17\/9 and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9 + 6 - g - 12 + 9 + 7. Let c(f) be the first derivative of f**2\/2 - f + 1. Calculate 2*a(l) + 3*c(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 77 - 125 = -5*p, 4*q - 4 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132388 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {p: 2, t: 3, n: 1, k: 1, j: 3, u: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.26 (b) -70 (c) -49\/144 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 5, -0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*r**2*y**2 - 16*r**2*y + r*y**2 - 576*r*y - 2*r + 4*y**2 wrt y?\nAnswer: -514*r**2 + 2*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 8:59 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(14\/(-77)) - 1836\/102?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**11*a*a\/(a*a*a**(-8)))\/((a\/a**(-2\/49))\/a**(-2\/21)))**(-2\/93) assuming a is positive.\nAnswer: a**(-5252\/13671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6225 divided by -3\nAnswer: -2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/32)\/((27\/1104)\/((-17)\/(-68)))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 710 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*d = 4*m - 264*d - 28, m - 7 = 5*d. Let y = -6 - -18. Calculate the remainder when y is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -633*0.579\nAnswer: -366.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**19\/a**(-14\/3)*a\/a**(12\/17)*a\/(a*a*a\/a**(10\/13)) assuming a is positive.\nAnswer: a**(15070\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j. Let d(a) = 699*a**2. What is q(d(u))?\nAnswer: 6291*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*y - 2 = 3*y, -f - 5*y + 11 = 0. Is -0.6 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-7)*w**(1\/4)*(w**(5\/2))**(4\/3) assuming w is positive.\nAnswer: w**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*c + 137, -g + 4*c = -5 - 8. Let m(b) = -9*b + 12. Let o be m(-2). Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-345)\/115)\/((-399)\/38)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**3\/7 + 1830*h**2\/7 + 1116300*h\/7 + 1551. Suppose t(q) = 0. Calculate q.\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 686521*a**5 + 13*a**2 + 13535*a wrt a.\nAnswer: 41191260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5900 is divided by 1176.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 325 = -5*r - 2*i, 0 = 3*r - i - 188. Let p = r - 60. Calculate the greatest common factor of p and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**2 - 20*v - 4. Let k be q(7). Solve k*l - 2*l = -18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by ((-157)\/(-471))\/(3\/1206)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 39. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1, -0.4, 4, -573, 13\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-4)\/((-12)\/(-9)). Let i be (-34)\/(-30) + (-5)\/15. Which is the nearest to 2\/13? (a) q (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 + 80. Are 0.1 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-156*y + 66*y + 65*y)*(5*y - 2*y - y) - 2*y**2 + 0*y + y + 0*y**2 as f + r*y**2 + u*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-8 + 47) - (-291 + 335)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 2*u**2 - 4*u - 6. What is the units digit of i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1632 (base 8) to base 2.\nAnswer: -1110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 38, 17, -22, -85, -178?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-6)*a))\/(a*a**(-7))*a**(-1\/2)*a**(2\/9)*a assuming a is positive.\nAnswer: a**(229\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 199823497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 1019*c - 1017*c = -2033*c + 1, 5 = 5*r + 3*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/(o**4*o)))\/o*o*o*o*o\/(o*(o*o*o**0\/o)\/o))**(-36)*((o**1)**(1\/11))**(-11) assuming o is positive.\nAnswer: o**(-289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 9:14 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -46 - (668 - 704) - (3 - 5 - -34)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:55 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*k + 81*k = -50*k + 34*k - 11310 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.41. Let f = z - 0.59. Let w = -0.8 - f. Which is the closest to -2? (a) w (b) 5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - 8 - (-5)\/1. What is the third derivative of -8*o**2 + o**2 - 8*o**6 + 2*o**2 + 2*o**p wrt o?\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -789, -809, -897, -1083, -1397, -1869, -2529?\n\"Answer: -5*t**3 - 4*t**2 + 27*t - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.31 - -11?\nAnswer: -189.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 816*f**2. Let j(c) = 8*c. Give w(j(u)).\nAnswer: 52224*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*g**5 - 2*g**3*s + 2*g + 183*s wrt g.\nAnswer: -780*g**3 - 12*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 145\/3 - 1\/3. Let u(m) = m**3 - 15*m**2 + 3*m - 29. Let v be ((-18)\/(-12))\/(2\/20). Let j be u(v). What is the highest common divisor of d and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6379, 6386, 6411, 6466, 6563, 6714, 6931, 7226?\n\"Answer: 2*b**3 - 3*b**2 + 2*b + 6378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -26*a + 16709. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10210 by -5105.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-55 - 0) - 146.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594738 is divided by 4786?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c. Let r(z) = 5*z. What is 6*d(o) + 7*r(o)?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1721 - 1865.8. What is t rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/(-18))\/1 - 1. Suppose 3*f = -3*m + 3, -2*f = -3*m + f + 21. Suppose v + 8 = 2*r, -3*v - m + 0 = -2*r. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1323*h**2 + 1310*h**2 - 2617*h**2 + 4.\nAnswer: 16*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 6*w**2 + 5*w + 4. Let v be i(-5). Suppose h - v = -h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 11*a = -6*a - 5, -3*o + 18 = -a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/10 + 48\/5. Suppose 3 = -r + t. Let a be -10 - -10 - (-2 - 0). Solve -2*u - p + 2 = 0, -4*u + 6*u + a*p - r = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24411 (base 5) in base 15?\nAnswer: -83b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrqrqqrqqrrqqqr. Give prob of sequence rq.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4, 184 in decreasing order.\nAnswer: 184, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 340 - 21 = 0. Suppose 9*g - 165 = 4*g. Let j = z + g. Solve j*f + 8 + 0 = -k, -4*k = 4*f - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((556\/(-279))\/(-1) + -2)*(-99)\/11.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 20*q**5 - 1208*q**4 + 1640*q**3 + 736*q**2 - 1660*q + 472 = 0.\nAnswer: -1, 2\/5, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -35*j - 1. Let c(h) = -h**2. Give g(c(n)).\nAnswer: 35*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from zrwwrwzrzwwqwrqzwq.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142790 and 257022.\nAnswer: 1285110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = p + 79, 3*p - 7*p = -4. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 4*w**2 - w - 2. Determine h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2742, -2744, -2746, -2748, -2750, -2752?\n\"Answer: -2*x - 2740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + 5 - (21 + 44 + -50)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 51255?\nAnswer: -51266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463305 (base 7) in base 9?\nAnswer: 534328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2765981 divided by -8837\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/6215 + -23649\/99440. Does 1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 112.2? (a) -22 (b) 1 (c) -1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*o + 129*o - 204*o - 64 as a + u*o and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u**4 + 160255*u**3 + 2241365*u**2 + 7842205*u = 0.\nAnswer: -32009\/3, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from {n: 1, p: 3, i: 2, s: 1, u: 3, y: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -12, -112425 = 4*v - 5*j. Round v to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 3, 1\/12, -2, -100?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000424429 to 7 decimal places.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 4. Let g(c) = c**2 - 6*c - 1. Give g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -564 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 11\/4 (b) -1\/3 (c) -4 (d) -1\/2 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502873 is divided by 248974?\nAnswer: 4925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1*(0 - 1)). Let b = 6 + 1. Let q(h) = -6 - h + 9 - b. Calculate q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3827\/17 + 376\/(-3196). Solve 22*n - 71 + f = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 32 = -13*x. What is the least common multiple of x and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = -5*p, 4*y + 3*p - 16 = 5*p. Put y, 0.1, 1\/4 in ascending order.\nAnswer: 0.1, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 85?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 - 23*t - 8. Let d be h(-5). Let w be (d\/15)\/(26\/(-78)). Determine v so that 6\/5*v**2 - 24\/5*v + w = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -630 - -456. Let q = 174 + f. Which is the second smallest value? (a) q (b) 1 (c) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z - 4*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374, 233, 92, -49, -190, -331?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01322 + -35.39878. What is j rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1035 (base 8) to base 5.\nAnswer: -4131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Solve 3*t + 6 = 5*t - c, x*c - 14 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 + -129.06. Let b(l) = 18*l - 52. Let f be b(3). Which is greater: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 8*i**2 - 2 + 2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 524825 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/2)\/((-315)\/55615). Let w = d + 177. Suppose -1 = -2*n - 3. Is w bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*1\/(-1) + 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(17) - (5*sqrt(272))**2) - (sqrt(17) + sqrt(136)\/sqrt(2))**2.\nAnswer: 6647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65461 (base 7) in base 12?\nAnswer: 9574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23368 and 4064.\nAnswer: 93472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1278)\/195 - (2 - 7). Let v = u - -15\/13. Put -0.3, 4, 5, v in decreasing order.\nAnswer: 5, 4, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21503 + 11?\nAnswer: 21514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -28459 divided by -3\nAnswer: 28459\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 4)*(63*s**3 - 63*s**3 - 168*s**4).\nAnswer: -672*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + k + 8 = -0*c, 0 = -c - k + 4. Let l be (5 + -2)\/(c\/(-50)). Let s be 1\/(-3) - l\/15. Solve s*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 9*z + 6. Let u(j) = -16*j**2 + 46*j + 31. Let q(a) = 11*o(a) - 2*u(a). What is the remainder when q(6) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*z + z - 6, 6 = 2*d - z. Sort 2\/11, 2, -1, d in ascending order.\nAnswer: -1, 2\/11, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(264))\/sqrt(11))\/(-2*sqrt(300) - sqrt(300)) - 4*(-3 + sqrt(128) + 0).\nAnswer: -479*sqrt(2)\/15 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 107?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -26.3. Let p = 296 + -291. Which is the smallest value? (a) i (b) -14 (c) p (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13731, 13755, 13801, 13875, 13983, 14131, 14325, 14571?\nAnswer: 14875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*u + 32, o + 5*u - 26 = -o. Let y(f) = -16*f - 32. Let q be y(-2). Let b be q\/3 - 64\/(-4). Calculate the greatest common factor of b and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2*74\/(-20) + 3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, -1.24, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(3*sqrt(104) + sqrt(104))*1)\/((sqrt(8) - sqrt(96)\/(sqrt(12)*-2))*-2))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 24*c**3 - 2*c**2 + 2. Let z be i(1). Suppose -l + z = -6*g + 2*g, -4*l = -16. What is the nearest to 2\/7 in 0, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53228356?\nAnswer: 2, 61, 218149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1869978 and 47850.\nAnswer: 46749450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 38803, -4, 0 in descending order.\nAnswer: 38803, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36164.29 + -36164. Which is the closest to 0? (a) -5 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = 17. Let z = 23 - n. Suppose -3*m = -2*v - 116, 5*m - 6*v - 194 = -2*v. Calculate the remainder when m is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcc when three letters picked without replacement from {c: 14, t: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/20 and ((-3)\/(-2) + 0)\/(-3) - (-53991)\/110250?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u - 25. Let a be ((-3)\/u)\/((-2)\/20). Solve 2*k - 5*r - 22 = 0, -3*k + k + r = -a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/51, -31 in decreasing order.\nAnswer: 1\/51, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.3069\nAnswer: -0.03069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 22. Let x be ((-428)\/(-4))\/(y + 5). Suppose -4*h + 192 = 4*k, 5*h = -2*k + 4 + x. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 10.132?\nAnswer: 3.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*u - 4*f + 19, -2*u - 2*f = -68. Factor -3*h**5 + h**5 - 35*h + 19*h - 40*h**2 - u*h**3 - 14*h**4.\nAnswer: -2*h*(h + 1)*(h + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -23 - (-9 + 4 + 16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -194.\nAnswer: 77.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, s: 1, d: 2}. What is prob of picking 1 s and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/9))**4\/((j*j\/(((j\/(j\/(j**7*j)))\/j)\/j))\/(j\/(j**(1\/5)\/j*j)*j)))**(10\/11) assuming j is positive.\nAnswer: j**(442\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1743 + 1985. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k + 2*h + 51, 5*k = h + 107. Suppose 0*t = 4*t + 2*x - k, 5*t = -x + 23. Solve t*q + 16 = -0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17a8 (base 13) to base 7.\nAnswer: 13154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 11*t + 15. Let z be l(10). Suppose 0 = -z*v + 28 + 232. Calculate the highest common divisor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.97 - 8. Let t = i - -1.03. Is 0.4 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-2) + (-19)\/38. Let n(o) = 5*o + 4. Give n(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + 5*sqrt(7)*-2 + -2 + (sqrt(448) - (sqrt(448)*-1 - sqrt(448))))**2*6.\nAnswer: -540*sqrt(7) + 9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*l - c + 5*c, 2*l - c - 20 = 0. Let g = l + -4. Suppose 2016609 + 1133391 = g*i. What is i rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - 31.85.\nAnswer: -31.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5*-112.5423\nAnswer: 562.7115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -10. Let u = h + 0.13. Round u to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203125015901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n)**13*(n\/(n\/(n*(n*n**3)\/n)))\/(n\/(n**(5\/3)\/n)*n)*(n*n**(-1\/2)*n)**(-34)\/(n**(3\/7)\/n**(2\/5)) assuming n is positive.\nAnswer: n**(-5078\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + -1)*1.\nAnswer: -6*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r - 1 - 42*r + 3.\nAnswer: -35*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.75 - -0.5. Let f = q + -10.75. Let t = -11.5 - f. What is the third smallest value in t, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 818*y + 702*y - 528*y + 2*y + 4*y - 5*y + 0 + 2*y + 0 + 3*y - 4*y + 3*y + (-1 + 3 + 0)*(-3*y + 2*y + 3*y) - y + 4 - 4.\nAnswer: 1000*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(720) - sqrt(720) - (2 + sqrt(720) + -1))**2.\nAnswer: 72*sqrt(5) + 6481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p + 20 - 101 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 22. Let v be a(14). Let r = v - 22. Which is smaller: r or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-19))\/(8 - 604\/76). Which is the fourth smallest value? (a) z (b) 1\/23 (c) 2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 - 66. Suppose 24*f - 69 - 75 = 0. Calculate the highest common divisor of g and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9677 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -13*t**2 - 14*t**2 - 1 + 7*t + 25*t**2 + t**2. Suppose 28 = -0*a + 4*a. Determine n(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 41683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -34282.858689?\nAnswer: 34285.858689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 2814*w + 47551. Determine y(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486093.\nAnswer: 3, 311, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 3*x**2 - 3*x - 6. Calculate g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1249 in -4, -32, 2\/85, 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = c - 5*c. Suppose 19 + 9 = c*b. Let d = b - 5. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68134.4+1699\nAnswer: -66435.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Suppose 4*z - 16 + 0 = d. Suppose -21 = 4*r - 5. Sort -1, z, r.\nAnswer: r, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16442, 34026, 52862, 72956, 94314, 116942, 140846, 166032?\nAnswer: 192506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from zggavghvvgghhchgcg?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12212202211202101 - -12?\nAnswer: -12212202211202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 7 = -2*r. Let f be ((-24)\/(-10))\/(3\/r). Suppose -3*v + 2 + f = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 699 + 2850. Suppose -8*k = -o + 285. Suppose -a = a - 28. Calculate the remainder when k is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28250?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**6\/120 + t**5\/10 - t**3\/2 + t**2. Let b(k) = -k**3 - 3*k**2 - 44. Let x be b(-5). Calculate m(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-21)*(-37)\/(-222)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8376738)\/68514 + 5\/19?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*q = -60*q - 12. Suppose -u - q*o = -17, 11*u - 3*o + 28 = 13*u. Solve 2*j = 4*j + 2, 5*j + u = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 1. Let q(r) = -3*r + 2. Let p(i) be the first derivative of -i**4\/4 - 5*i**3\/3 - 5*i**2\/2 - 3*i + 114. Let l be p(-4). Calculate l*q(u) + 2*n(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + -4*(-4*((sqrt(17) + 1)*-5 - (-2 + sqrt(2057)))**2 + 0).\nAnswer: 1536*sqrt(17) + 69776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yddf when four letters picked without replacement from {y: 1, f: 1, d: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l*l**(-2\/39))\/l)\/l*(l*l**29)\/l)**(2\/15) assuming l is positive.\nAnswer: l**(2336\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 119*v - 147. Calculate b(26).\nAnswer: 3623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, -0.4, 2\/15, 0.5, 43\/100?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 8*u**2 - 26*u + 6. Let v = -3620 + 3624. Calculate j(v).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 12*p**2 - 11*p - 9. What is t(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l - 4 = 0. Is 9 a factor of (12\/7)\/(l\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 9\/773, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 + 58*i**2 + 102*i + 74. What is the remainder when 712 is divided by m(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92734 or 92733?\nAnswer: 92734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.72 + -7.38. Let w = y + 10.7. What is the closest to -0.1 in -2\/23, w, 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57604, -58308, -59460, -61060, -63108, -65604, -68548?\n\"Answer: -224*h**2 - 32*h - 57348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -76*x - 1479. What is t(-19)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-693)\/(-4))\/(-11) + (-3)\/(-4). Let r(z) = -z - 11. Let h be r(w). Suppose -h - 1 = -5*t, -2*u - 9 = -t. Put 2, -3, -6, u in increasing order.\nAnswer: -6, u, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -247*o - 2972. Determine b(-15).\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 10:28 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:15 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31342704, 31342706, 31342710, 31342716, 31342724?\nAnswer: 31342734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*z**4 + 115*z**3 + 439?\nAnswer: -8*z**3 + 345*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 48, 103, 180?\n\"Answer: 11*t**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by 1049.\nAnswer: -154\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 0*s - 8*s. Let z(c) = -6*c + 3*c + 7*c - 3*c. Calculate z(u(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s**3 + 20*s**2 + 15*s - 66. Let d(h) = -5*h**3 + 8*h**2 + 6*h - 33. Let x(y) = -9*d(y) + 4*l(y). Give x(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**3 + 72*y**2 - 7*y + 88. Give p(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 483 (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -389 in -1, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/920 and 73\/160?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -755, -2988, -6709, -11918, -18615?\nAnswer: -26800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 51210\nAnswer: 256050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from behbhheh. Give prob of sequence eehh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14614286.\nAnswer: 2, 41, 178223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*j**4 + 257154*j**3 - 16*j**2 - 23*j - 133 wrt j?\nAnswer: -192*j + 1542924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826.7*0.63.\nAnswer: -520.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/224 and 39\/5084?\nAnswer: 284704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*(-10 - (-12)\/6). Let p = 59 - z. Solve -4*r - 6 = 2*h + 16, -p*h = -4*r - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/59807 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.145491 - 0.14307. What is r rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(11\/(-2))\/1. Let i be 16\/2 - 3\/1. Let w be (-5)\/z*(-2)\/i. Which is the third biggest value? (a) 0.1 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000994116737 rounded to five dps?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 - 2*x. Let l be q(-2). Let g = l + -6. Let t = -6 - g. 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: Simplify 4*sqrt(1573)*1*4 + 5*(sqrt(1573) + 3 + -1 + sqrt(1573)) + 1.\nAnswer: 11 + 286*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2. Let r(t) = 22*t + 7. Calculate r(m(u)).\nAnswer: 44*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 245*n + 2786. Calculate d(-133).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 1:15 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 24 - 19)*(101 - 208*m**2 - 101).\nAnswer: 1456*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -144*f. Let j(c) = 252*c**2. Calculate j(x(z)).\nAnswer: 5225472*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/8 and -22\/971.\nAnswer: 7768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 10*v + 46*v**2 + 8*v + 13*v.\nAnswer: 46*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*l + 2279 + 555, 2*g = 4*l - 5618. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**3 + 0*n**3 + n**3 + (-3 - 3*n + 3)*(-5*n**2 + 10*n**2 + 8*n**2)*(0 + 2 - 3) to the form o*n**2 + l*n**3 + d + f*n and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304 and 8048.\nAnswer: 152912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 5220.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 2)\/((-2)\/8). Suppose i*n = 3*n + 25. Differentiate -9*q - n + q + q - 1 with respect to q.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 9. Let c(y) = -34*y. Determine c(g(b)).\nAnswer: -102*b**2 - 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z + 43. Let t be o(-6). Let q(y) = y**2 - 15*y + 31. Let h be q(t). Suppose x + 44 = h*x. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*u + 4399 = -14024 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -560 - -558. What is the nearest to f in -1\/3, 4\/3, 2, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 3. Let h(r) = 2*r - 5. Suppose -4*l - 42 = 10*l. Let m be 5\/15 - 32\/6. Determine l*h(p) + m*n(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/(3 + -2) - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 9, i: 2, a: 1, u: 5}. Give prob of picking 2 o.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -312 - -222. Let h be (6\/5)\/((-27)\/b). What is the third derivative of 2*u**2 - 4 + 4 + 3*u**2 + 6*u**h wrt u?\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or 10\/11183?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 273204 and -0.0802?\nAnswer: -21910.9608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1490, -2, -0.5, -1102, -5 in descending order.\nAnswer: -0.5, -2, -5, -1102, -1490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*1)**2 + (sqrt(2) - ((sqrt(8) - sqrt(2) - sqrt(2)) + -3)).\nAnswer: sqrt(2) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**4*g - 356*f**4 - 1175*f**2*g + f**2 - f*g wrt f.\nAnswer: -96*f*g - 8544*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*m = -255, -5*x - 15 - 241 = -4*m. Let o be (-200)\/x - 2\/(-13). Suppose 2*z = o*z - 20. What is the smallest common multiple of z and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 2. What is the remainder when 47 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let s(v) = v - 13. Let b(t) = -3*a(t) - s(t). Let g be b(-7). Let q be 2 + -1 + (292 - 6). Calculate the highest common divisor of g and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2306?\nAnswer: 9224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -21*k + 25*k, -2*u + 3*k - 7 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -340 - -5403706?\nAnswer: 5403346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 2*v - 2*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 284 + -275. Solve 11*c + k = 14*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-5)\/12) + (-14)\/35. Let z(q) = -5*q**3 + 13*q + 15*q - 4 - 37*q + b*q**2 + 12*q. Let h(l) = 6*l**3 - 2*l**2 - 4*l + 5. What is -4*h(s) - 5*z(s)?\nAnswer: s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.53617953 - 0.5362. Round c to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54054641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddldlzdldt. What is prob of picking 1 l and 1 d?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24482173 is divided by 81.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 19*k = -100, -9 = n + 2*k - 25. Solve -18 = 21*p + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-14) - (-13 + 25728\/2345)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1117, 959, 801, 643, 485, 327?\n\"Answer: -158*k + 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*j - 14 + 3, 4*q - 5*j = -17. Let b(g) be the first derivative of 0*g**q + 1 + 0*g + 0*g**3 + 1\/10*g**4. Factor b(f).\nAnswer: 2*f**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.417 rounded to 0 decimal places?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -0.2, -3\/31?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/792 and -65\/32.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10645242, 10645240, 10645238, 10645236, 10645234?\n\"Answer: -2*z + 10645244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -2 - (-354)\/(-15). Let w = j + 21. Solve 2\/5*f + 0 - 4\/5*f**2 + w*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -174, -345, -516, -687?\n\"Answer: -171*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + sqrt(567) + sqrt(567)*2))**2.\nAnswer: 270*sqrt(7) + 5128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-136180)\/(-264) + (-1)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -414 - 9535?\nAnswer: -9949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17101 + 17124. Solve 0 = -2*t - w*t - 125 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (2 - -2) - -126. Let x be 6 + (-2 - m\/35). Let -x*d**3 - 648\/7 - 54\/7*d**2 - 324\/7*d = 0. What is d?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2. Let n(i) = -1492050*i. What is x(n(t))?\nAnswer: -11131066012500*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3491103 litres?\nAnswer: 349.1103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 13 = a. Let n(r) = 9*r + 29. Let x be n(a). What are the prime factors of 7\/(35\/20) - x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 7*a**2 + 2*a - 5. Determine k(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 20, 26, 28, 26, 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 873131189 to the power of 1\/3, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -22\/3*b**3 - 7*b**2 - 13*b + 2. Let x(a) = -15*a**2 - 9*a - 9. Let o(l) = 5*v(l) - 7*x(l). What is n in o(n) = 0?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -187 + 21*j**5 + 187 + (1 - 1 - 2)*(3*j**4 - 3*j**4 + 2*j**5).\nAnswer: 17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 249861481*k**3*t**3 - 251570944*k**2*t**3 + k*t**3 wrt k.\nAnswer: 1499168886*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/((((q\/(q\/q**(2\/3))*q)\/q)\/q)\/q))*q*q*q*q\/(q**(-1\/3)\/q)*(q**(-1\/2))**(-2\/25))**34 assuming q is positive.\nAnswer: q**(4284\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -1*sqrt(405) + sqrt(405))\/sqrt(9))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3 - 9\/(27\/(-12))). Solve 4 = -7*k + x*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12314565 at least as big as 12314563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 1:02 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, l: 2, t: 2, s: 1, i: 1}. Give prob of picking 2 l, 1 t, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8c6 - 12?\nAnswer: -8d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/3 + -3)*-9. Suppose -5*c - l + 54 = 0, c - 6*c = -p*l - 38. Suppose 0 = 3*o - c - 5. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*m - 4 = -0, 0 = -2*d - 2*m. Let l(t) = 2 - d - t**2 - 2*t + 7*t. Let p(q) = q**2 - 4*q. Determine -4*l(s) - 5*p(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/12 + y. Let d(u) be the first derivative of u**3\/3 + 556. Calculate d(c(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(20) - ((sqrt(99) - (sqrt(99)*5 - sqrt(99)))\/sqrt(9))**2.\nAnswer: -99 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -154565 (base 7) to base 15\nAnswer: -906b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1510.\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46368640 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 6, h: 4}. What is prob of sequence jh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 12*i + 3. Let u be i + 7 + 4 + -2 + -2. Let v(k) = -k**2 + 2*k - 4. Let h = -15 - -11. Let f(n) = -2*n**2 + 2*n - 5. Give h*f(t) + u*v(t).\nAnswer: 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 0*l**5 + 1\/12*l**4 + 0*l**3 + 0*l + 0 + 1\/120*l**6 - 5*l**2. What is the second derivative of w(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by ((-319)\/(-33))\/(((-7)\/(-168))\/((-1)\/(-4)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83867.\nAnswer: 7, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 2*g - 4. What is the tens digit of a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n + 4*n**2 + n**3 - 1 - 5*n**2 + 3*n + 2*n**2. Suppose -2*m = 3*w - 13, -4*w - w + 4*m - 15 = 0. Let p(i) = i**2 - i - 1. Give w*p(c) - r(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**2 + 4080622*y - 1632248 = 0 for y.\nAnswer: 2\/5, 816124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {l: 1, y: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 - t - 1. Let m be u(-1). Let b be 2\/m - (-93)\/6. What is the greatest common factor of 30 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, c: 2}. Give prob of picking 2 c and 2 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64542134?\nAnswer: 2, 37, 683, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/60*2674*6\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40c - 19?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 + 39)\/((-10)\/4) - 238\/(-7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 - -125. Suppose -o + q*o - g = -214, -4*g = -3*o + 656. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 z when three letters picked without replacement from {r: 1, y: 5, e: 2, z: 8, x: 3}.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 450.1 + -450. Which is the second smallest value? (a) -1\/6 (b) 0.3 (c) q (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3503661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2976*z**3 - 2953*z**3 + 5896*z**3.\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24134124 (base 5) in base 4?\nAnswer: 312300201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -6*d**5 + 1838*d**4\/5 - 9998*d**3\/5 - 20174*d**2\/5 + 75356*d\/5 - 3696 = 0.\nAnswer: -3, 4\/15, 2, 7, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/17971875 and 139\/12150.\nAnswer: 107831250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y + y + (0*y + 0*y - 2*y)*(1 + 4 - 3) + 0*y - y + 3*y - 7*y - 16*y + 2*y + (2 - 2 - 1)*(0*y - y - y).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.906696 weeks?\nAnswer: 6.346872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 77.2?\nAnswer: 38.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -1 + 13*g + 1\/3*g**3 + 9\/2*g**2. Is n(-9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 1. Let u(b) = -b**2 + 7*b + 7. Suppose -19 + 54 = -h. Let n(f) = h*w(f) + 5*u(f). Let q(k) = -2*k**2. What is q(n(z))?\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 p when three letters picked without replacement from ppmmmmeemmmep?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20551421819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, -5, -0.02, 15, 2\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 228820 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 6:04 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2458*4\nAnswer: -9832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 130 = -7*r. What is the nearest to 1\/4 in 2\/7, 2\/3, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in 0.5, 2, -1, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*4\/(-6) - -20. Let n = -14 + v. Let f = n - 5. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/(-6)*-4 - -10. Let y(f) = f**2 + f - 37. Let a be y(0). Let x = 117 + a. What is the greatest common factor of v and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 577*b**2 - 1155*b. What is a(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 173\/3 (c) 89 (d) 2\/7 (e) -3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4963 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 729 = -39. Let p = b - -259. Are 69 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193675039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 322 - -25514?\nAnswer: 30240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 339 + -232. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2452 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 2)*(0 + 0 + 2*d) + d - 5*d + 3*d - 4*d + d + 2*d - 3 + 22*d - 9*d + 39*d + (-1 - 2 + 5)*(-2*d + 2 - 2).\nAnswer: 44*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 10, 5, -2?\n\"Answer: -h**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177640*h**3 - 44070*h**2 wrt h?\nAnswer: 1065840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 50*q**2 + 181*q - 4. What is the tens digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 23, -5, -16, 79 in decreasing order.\nAnswer: 79, 23, -5, -16, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -9*u - 31 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/2 + 211*c**4\/2 - 8283*c**3\/2 - 46143*c**2\/2 - 15012*c + 42120 = 0 for c.\nAnswer: -3, 1, 60, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/10)\/(9\/4840164). Suppose -d = -0*r + 2*r - 5577798, -2788890 = -r + 4*d. Suppose c - r = o. What is o rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277.1 - -244. Let p = j + 33.291. What is p rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15461 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -472.6 + 472. Which is the nearest to 2\/7? (a) 3\/2 (b) 1 (c) -1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g**2 + 3*g**2 + 2*g**2)*(-g - 2*g**2 + g) + 1 + 106*g**4 - 138*g**4 + 151*g**4 to the form n*g**3 + z*g**4 + c + b*g + w*g**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41423.31 weeks in nanoseconds?\nAnswer: 25052817888000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/554? (a) 0.3 (b) -130 (c) 0 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-1)\/((-4)\/(-80)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - -14 - (-4440)\/(-135)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3952*t + 3947*t + 1, -17 = 2*t - 5*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -11*w**4\/4 - 7*w**3\/6 - 5*w**2 + 8*w. Does 19 divide h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 708\/((-23)\/84*-1 + (-4)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**5\/20 + 13*k**4\/12 + k**3\/3 + 13*k**2 - 4*k - 13. Let o be w(-13). Solve -6*b + 3*b + 12 = o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 110\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 23 = 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 128 = -38. Suppose -r + 4 + 13 = 0. Differentiate -h + 3*u**3 - r*u**3 - 2*u**3 wrt u.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/154)\/((-15)\/(-33)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -0.5, -0.04, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, 2\/11, -14\/9, 333?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 9*b**8\/112 - 9*b**4\/8 - 25*b**2\/2 - 10. Let o(j) be the second derivative of k(j). Find the second derivative of o(m) wrt m.\nAnswer: 540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 5*q**2 - q - 2. Suppose 4*r = r. Suppose 11*z - 6*z - 15 = r. What is h(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*x - 24 = -3*x, 4 = -2*x. Let t(y) = -y**2 + 6*y + 4. Let b be t(6). Solve b*c - 2*d - 8 = 0, -d = 5*c - 0*d + h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2866 + 16154 = 15*h. Let t = h + -510. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.4 - 1.8. Let z = 14 - d. Sort -1\/5, -1, z.\nAnswer: -1, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z. Suppose -7*r = -3*r. Let b(m) = 2*m - 2*m - 3*m + r*m. Give v(b(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 6*w + 15. What is the lowest common multiple of r(0) and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-286)*84381\/7671?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 1942*z + 1937*z = -62, -3*z = -5*h + 327 - 110 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2\/7 - 22404*y\/7 - 41828268\/7 = 0. Calculate y.\nAnswer: -3734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1789348484*f**3 + 7338408*f**2 + 10032*f + 32\/7.\nAnswer: 4*(1463*f + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.6 - 14.7. Let u = i - 7.9. Suppose 0 = -4*g + 4*d - 48, g - 6*g + 4*d - 56 = 0. Sort u, -5, g.\nAnswer: g, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z*z**(2\/7)\/z*(z\/((z**(-1)\/z)\/z))**(-5\/12))\/((z*z**(-5\/3)*z)\/(z*(z\/(((z*z*(z\/(z**(-7)*z))\/z)\/z)\/z)*z)\/z))**(-4\/29) assuming z is positive.\nAnswer: z**(-883\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhbennhnnhnntnnhhenh. Give prob of sequence netn.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -6*v + 485. What is the third derivative of -2*n + 8*n**2 + v*n**3 + 10*n**3 + 23*n**2 wrt n?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-136)\/(-22) - (1008\/264)\/21 and 409?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 15*c + 16 - 12 to the form t*c + m and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 20*h**2 + 4*h + 4. Determine n(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277021011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Convert 21325464 (base 9) to base 16.\nAnswer: 9d09db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127842 and 10582.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -36*((-45)\/12)\/3. Let l be 1815\/r - (-2)\/(-6). Let y(s) = 7*s - 8. Let f be y(4). Calculate the greatest common divisor of l and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2942.\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*k**2 - 3235*k**2 - 116*k**2 as c*k + z*k**2 + w and give z.\nAnswer: -3187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -834.6 + 759. Let v = m - -76. Which is the biggest value? (a) v (b) -1\/3 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42300 (base 11) to base 14.\nAnswer: 18633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:22 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2*y**2 + 1\/2*y**3 + 13*y - 8.\nAnswer: (y - 8)*(y - 2)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - (4 - 9)) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 5*q**3\/6 - 17*q**2\/2 + 6*q. Differentiate d(w) wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1026*w + 4932. Give f(6).\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/120 - t**4\/24 - 2*t**3\/3 - 4*t**2 - 22*t. Let r(s) be the first derivative of l(s). Determine r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 + 7*b**2 + 7. Let c = -87 - -80. Suppose -230 = -2*r + 48. Let l(w) = -2*w**2 - 2 + 139*w - w**3 - r*w. Calculate c*l(k) - 2*i(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/19? (a) 3 (b) 2.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 21*z + 45 = 0. Let f be (-1)\/(-6)*(-12 - z). What is the smallest value in 9, 5, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 62.48. Let u = 0.02 - l. Let q = 1.4987 + u. What is q rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1624 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002141 to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 23 = -3. Let k be 17\/w - 24\/16. Suppose -k*x + 159 = -4*x. Round x to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -167, -193, -239, -311, -415, -557?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 0.1 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/(-154) - 30\/165. Which is the nearest to p? (a) 0 (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Let o = -81775 + 81775. Sort d, -8, 4, o in decreasing order.\nAnswer: 4, d, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -35*p**2 - p + 1. Let u be c(1). Let z be (-34)\/u + (-8)\/14. Factor 2\/5*v + 0 + z*v**3 - 4\/5*v**2.\nAnswer: 2*v*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-354)\/(-3) - (-4 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*u - i, -5*u - 6*i = -2*i + 6. Let o(b) = 359*b - 26. List the prime factors of o(u).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/((-1232)\/42867) - 4\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-4)\/6)\/((-20)\/(-30)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 805, -4 in ascending order.\nAnswer: -4, 2, 805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b075 - -1?\nAnswer: 5b076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 186 = -0*j. Let g = -249\/4 - j. Sort g, 1\/2, 5\/8 in descending order.\nAnswer: 5\/8, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*s**3 - 33700*s**2 + 15799996*s wrt s?\nAnswer: 1110*s - 67400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 3, -12, -41, -90, -165, -272?\n\"Answer: -b**3 + 2*b**2 - 6*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) 3 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-17)*w*w*w**(-2\/77)*w*(w**18)**16 assuming w is positive.\nAnswer: w**(21096\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716517*s**3 + 358260*s**3 + 358263*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 4*j**3 + 2*j**3 + (-4*j + 3*j + 0*j)*(-2*j**2 - 2 + 2) - j**3 - j + j - 2*j**3 + 4*j**3 - j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 20 = 2*r. Suppose -7*m + 15 = -2*m. Find the second derivative of 2 - r - 3*i + m*i**3 wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2904 and 79134.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15261, 30172, 45073, 59958, 74821, 89656, 104457, 119218?\n\"Answer: -l**3 + l**2 + 14915*l + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/150 - 502\/(-10). Let x = 59 - i. What is the highest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 3*i + 23 + (0*i + 2*i - i)*(-1 - 2 + 1) + 67 + 1183*i - 35 - 32.\nAnswer: 1184*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54325975?\nAnswer: 5, 11, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 38*a**2 + 758*a + 442. Calculate i(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*o**3 - 27545060*o**2 - 1935537119296*o - 79001469184 = 0. What is o?\nAnswer: -140536, -2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 686*c - 1358*c + 690*c - 36 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -280 + 253. Let q = 40 + 122. Let c = q + t. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((425\/20)\/17)\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 17*r + 7 - 3.\nAnswer: -11*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 18*z = 60. Which is the fourth biggest value? (a) -4\/7 (b) -5 (c) z (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -46 (b) -4\/5 (c) 1\/6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 - -60. Let s be 1106\/w - 5*-1. Is s < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 17*w**2 + w**2 - 4*w**2 + 4*w in the form r*w + s*w**2 + g and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1e9 (base 16) to base 13\nAnswer: 2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 2:49 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t - 2. Let p(h) = 8*h - 2. Let v(a) = -2*c(a) + 3*p(a). What are the prime factors of v(4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159965697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:08 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00302203 rounded to 5 dps?\nAnswer: -0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 19*j**2 + 10*j + 11. Let o be i(19). Let x = -201 + o. Suppose -8 = -2*f + 2*s, -f + 0*s = 2*s + 2. Solve x*g - f = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 22*c - 104. Let l be y(13). Suppose 22 = 5*f - a, -3*f - 6*a = -2*a - 4. Let j be f\/(-3)*9\/(-6). Solve -3*n - j = l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 91, 5, 0.5, 0.3, -112\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2*s - 3*s = 14, 3*w - 2*s = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 375 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3813 - -11995. Is c a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 26\/9, 17, -0.5, 101?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**3\/3 - 986*l. Let x(h) be the second derivative of -11*h**3 + h. What is x(a(j))?\nAnswer: 132*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3016 and -25\/891344.\nAnswer: 11587472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -56. Solve -4*m - c*g + 10 = -9, 8 = 3*m - 4*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h = 0. Suppose -3*o + 9 = 2*p, -4*o - 2*p = -3*o - 3. Suppose 2 = -o*g + 8. Put h, g, 3 in increasing order.\nAnswer: h, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -2 (c) -7\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2699938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2658474 divided by -63297?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by 15.\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - 0)*(1 - (-2)\/(-3)). Is 7\/((-14)\/(-258)) + j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29327654 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41406*4.\nAnswer: -165624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**5 + w**5 + 3*w**5 + (0*w - 2*w**2 + 0*w)*(10 + 6*w**3 - 10) + 27*w**5 + 54*w**5 - 17*w**5)*((1 - 2 + 2)*(0 - 2 + 0) - 5 + 0 + 3).\nAnswer: -220*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3948 - -6359. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4 + 22474*d**3 - 42015043*d**2 - 281100020*d = 0.\nAnswer: -20\/3, 0, 3749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.56 + 9.46. What is the nearest to -1 in 0.3, c, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4. Sort 9, -2\/3, j.\nAnswer: j, -2\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432 (base 5) in base 13?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50380 is divided by 16779.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - w**3 + 0 + (-2*w**2 - 1 + 1)*(6*w - 4*w - w) - 111*w**3 + 5487*w - 5487*w.\nAnswer: -114*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 20. Let t(j) = -18*j**2. Give v(t(k)).\nAnswer: 18*k**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = m + 9*y - 5*y, 0 = -2*m + 4*y - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2421828 is divided by 2257.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -120342273.8562.\nAnswer: -120342269.8562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 51*c + 872. Is 26 a factor of t(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -10. Let w be (-17)\/(-5) - 4\/10. Suppose w*z + 3 = 3*f + a, -8 = -4*z + 3*f. Let o(p) = -p**3 + 4*p**2 + 5*p - 2. Give o(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103023 (base 5) to base 7\nAnswer: 13146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 32. Is 3*(4\/b)\/(6\/(-18)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {p: 4, h: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 4)*2 + 1. Let h(s) = 2*s**3 + 7*s**2 - s - 10. Let p(v) = -3*v**3 - 8*v**2 + v + 11. Let u(a) = -4*h(a) - 3*p(a). Is u(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50997376 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -439, -4\/5, 2\/235, 7 in increasing order.\nAnswer: -439, -4\/5, 2\/235, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-7))\/(12 - -14*(-498)\/588). Let j(m) = -m**2 + 8. Let f be j(0). Solve y*l = 6*l - f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 2 f when four letters picked without replacement from ddydlydlfltlfzddyt?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n - 9. Let c(g) = 7*g - 6. Suppose 4*x + m = -39, -2*x = -9*m + 4*m + 3. Let a be (-75)\/x*15\/25. What is a*k(d) - 8*c(d)?\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:44 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146\/9 - 16. Let b = -0.03 - 6.97. Let o = b + 7.4. What is the second smallest value in u, 0, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213475 is divided by 643.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 1, a: 2, l: 11}. What is prob of sequence ua?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) + (0 + 2 + sqrt(405) - sqrt(405) - sqrt(405)) + -1)**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (17 - (5 + 3) - (-2 - (5 + -7)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11387?\nAnswer: 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u + 83. Let j(d) = 4*d - 27. Calculate 3*g(m) + 8*j(m).\nAnswer: 2*m + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72)*3 + sqrt(72))*-3)) + sqrt(72))\/sqrt(3))\/(6*(sqrt(12) - (-3*sqrt(108) + sqrt(108) - sqrt(108))\/sqrt(9))).\nAnswer: -7*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14695 - 2428*q**2 - 6445*q + 2429*q**2 + 6445*q as d*q + y + i*q**2 and give y.\nAnswer: 14695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-32)\/(-24))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.4, -1, -0.49, -2\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -4) + -12 + (0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 3664.\nAnswer: 3663.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - -11. Let t = o + 61. Let s = -67 + t. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4842\/565 or -9?\nAnswer: -4842\/565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + (sqrt(500) + sqrt(500)*1 + sqrt(500))*-1 + sqrt(500) + -1 + sqrt(500) + 2 + sqrt(500) + -1 + -3)*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41625 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 101 (b) 2 (c) 4\/11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 10. Let j be h(-8). Let f(q) = -2*q - 6. What is the least common multiple of (-1)\/(j\/20)*-1 and f(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -9 - -6) + 6. Solve h*a - 7*a + 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7 + 5 = 0. Let r be 1\/(-2) - 225\/30. Let h(j) = j**2 + 8*j + 5. Let s be h(r). Sort s, 2, p.\nAnswer: 2, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14898, -29797, -44696, -59595?\n\"Answer: -14899*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a5c4343 - 0?\nAnswer: -8a5c4343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 366?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87902 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: Which is the nearest to -1? (a) -1.48 (b) 2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Solve -m*q + 2*z + 17 = 4, -5*q + 2*z = -23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1559 - 521 - 533 + 440*x - 514.\nAnswer: 440*x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 16*c + 4. Suppose -1 = 2*t + 3. Let s be j(t). Let l = s + 33. Solve -3 - 12 = l*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2288 divide 17483489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxkkkkkyyyxy. What is prob of sequence kkyy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -15. Let q be 20\/u - 62\/10. Let h be 6 + -8 - (1 + q). Solve -i - 4*k = 16, -h*k + 4 = -5*i + i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*l - 729*l + 183*l + 186*l + 173*l - 3 + 3.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 4*c - 1. Let u be t(-5). What is the tens digit of u\/14 - 3008\/(-56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q + 10. Suppose 3*u + 4*t = u + 2, 4*t - 3 = -3*u. Let i be a(u). Solve 3*d - i = 8*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 9 + -6 - (1 + -1 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*i**2 + 31*i**2 + 33*i**2 + 35*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-150)\/(-15) - 16\/18\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43882 is divided by 21932.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**1)**49)**(-7)\/(l**(2\/5)\/l*(l\/l**(-2\/17))\/l)**7 assuming l is positive.\nAnswer: l**(-116333\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112\/137 - -16081\/3288. What is the common denominator of -31\/12 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + -4 + sqrt(99) + -2 + -2 + -3 + 1 + sqrt(99))**2 + -5).\nAnswer: -540*sqrt(11) + 2360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -12, 0*y + 15 = -y - 5*p. Suppose -2*c = -y*c - 8. Suppose -4*t = 3*n - 289, 3*n + 223 = c*t - 48. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 33*b = 15036. Is b\/(-18)*1*(-6)\/4 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 11 + 31 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60825, 60826, 60827?\nAnswer: 60828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((1\/6)\/(1056\/(-864)))\/81 and 139\/36.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3616485 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66985.\nAnswer: 5, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 3065 + 48)*(7 - 7 - 5*q).\nAnswer: 15245*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - c**2 + c + 24. Let k be n(0). Let x be (6\/(-4))\/((-9)\/k). Let m(t) = 6*t - 4*t - x*t. Let w(z) = 21*z**2. What is w(m(j))?\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 31*i + 28. Determine p(30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 95. What is the remainder when 19 is divided by 4 - p\/(-6)*(-6 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 121*u**3 + 4880*u**2 + 65600*u.\nAnswer: u*(u + 40)**2*(u + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34283824?\nAnswer: 2, 2142739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -508.5? (a) 0 (b) -224 (c) 0.07 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62855496 is divided by 86?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47184023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01002657 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/5 + 36566*i**2\/5 + 159717152*i\/5 - 68537819784\/5 = 0. What is i?\nAnswer: -9338, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2. Let w(k) be the first derivative of 0*k + 1 + 7\/2*k**2. Give w(l(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104256 greater than or equal to 104182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194*k**3 - 187*k**2 wrt k.\nAnswer: 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 3*s - 27. What is the remainder when m(-12) is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3605863*c - 24470401 wrt c?\nAnswer: 3605863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*h**4 + 286135*h**3 - 818932650*h**2 + 1146059380*h - 327412840 = 0. What is h?\nAnswer: 2\/5, 1, 5722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + i = -3, -3*i = -4*h - 8*i - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*-5\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 15 - 7 + 7*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**31*i))\/i)\/(i*i*i**(3\/13)))\/(i**(4\/11)\/(i\/i**35)) assuming i is positive.\nAnswer: i**(-9952\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 11 = 2*x + 5*n, 5*n - 10 = -5*x. Let u be (-44)\/(-8) - x\/(-2). Does 10 divide (3\/6)\/(u\/110)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135\/4*t + 0 + 3\/4*t**2 = 0. What is t?\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 15. Let k(w) be the second derivative of 0*w**2 + w + 0 - 1\/10*w**5 + 0*w**g + 1\/12*w**4. Find the third derivative of k(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125020451197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 2*y + 16 - 43.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/9, 2, 3\/4.\nAnswer: -1\/9, 3\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4 + 1088061*j**3 + 61*j**2 + 20881*j?\nAnswer: -24*j + 6528366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153643?\nAnswer: 7, 47, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 308982?\nAnswer: 926946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(6 + -5) + 4. Let u(m) = m + 7. Let s be u(-5). Suppose -s*q = 2*q + 4*n + 8, -8 = 3*q + n. Sort q, i, -4 in descending order.\nAnswer: i, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*y = -56623, 19*y - 20661 = -4*c + 36004. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:54 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*c**2 + 29*c**2 - 16*c**2 - 2 - 6 - 8*c**2 to the form v + m*c**2 + b*c and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16033119 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 5*j - 1. Let k(r) = -r**2 - 9*r + 8. Let u be k(-10). Let b(y) = -5 + 5 + 7*y**2 + 5*y**2 + 2*y - 7*y**2 - 6*y**2. What is u*a(n) - 5*b(n)?\nAnswer: 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 7*f**2 + 13*f - 9. Determine t(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 12, -4*v + 3304 = -2*x + 3*x. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -586 + 634 - (31 + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcpfftcczfpzffcfcc. Give prob of picking 1 t and 1 c.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*p**2 - 647*p?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 18*u - 35. Let m be i(-16). Does 12 divide 1 + m + 148 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 22*k + 1386. Suppose 2*i + 4*i = k. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12222 + 1000020?\nAnswer: 210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 276387291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 187 = 3*h + 215, 2*r + 10 = -0*r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 2, n: 2, p: 2, o: 2, q: 4}. What is prob of sequence ipo?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 6:55 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4928958ug to kilograms.\nAnswer: 0.0000000004928958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/147*4347\/4554.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Let z = 5 + -5. Which is the nearest to 1? (a) -3 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/5)\/(16\/(-10)) - (-24)\/(-16). Find n, given that 1\/2*n**3 - 3\/4*n**2 - v*n + 1\/2 = 0.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 divided by -2?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 4*a + 4. Let x be f(-3). Differentiate 2 + 1 - 4*n**3 - x with respect to n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwy when three letters picked without replacement from {w: 2, j: 6, y: 3, e: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 273 = 9*z - 30*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c**(-1\/10))\/((c**(-1)\/c)\/c)**(-6))**43 assuming c is positive.\nAnswer: c**(-8127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k**(-2\/15)*k*k\/(k\/k**(2\/3))*k*k**(-1)\/k)\/((k*k**0)**10)**(-2\/63) assuming k is positive.\nAnswer: k**(-1307\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 1\/(4\/(-12)). Let n be 1*(-2 - 4)\/(-2). Let p be (20\/171)\/5*n\/2. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -24\/336803?\nAnswer: -24\/336803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 5. Suppose -3*m - 4*k - 15 = 0, 0 = 2*m - h*m - 2*k - 11. Is 13 a factor of (2 - -40)\/3 + m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2289 divided by -5?\nAnswer: 2289\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b9c27 (base 13) in base 14?\nAnswer: 4aa45d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6076494185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -380*z + 317.\nAnswer: -380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0*d + 4 - d - 3 + 6*d**2 + 0. Determine v(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 12*s - 21. Let b be z(-7). What is the highest common factor of b and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2500 is divided by 824?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13245.7 + 13235. Which is the nearest to -0.1? (a) m (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {d: 1, l: 3, t: 1, y: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13047 - -130471\/10. Let d(k) be the second derivative of -o*k**6 + 5\/12*k**4 + 0 + 1\/4*k**5 - k**2 - 5\/6*k**3 + 18*k. Solve d(s) = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.55 minus -0.41?\nAnswer: 9.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 + 5*i - 65. Is j(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*z - 0*z + h, -2*z + 5*h = -23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*q**2 + 104*q**2 + 81*q**2)*(0*q + 0*q + q**2).\nAnswer: 149*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8 = -0*s. Let w = s + -2. Let m(h) = h**3 + 5*h**2 - h + 4. Let f(b) = b**3 + 6*b**2 - b + 5. Give w*f(t) + 5*m(t).\nAnswer: t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -11110111?\nAnswer: 11111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 7*f**2 + 9*f - 9. Let o be x(6). Suppose -o - 6 = 5*w. Let j = -1.9 - -2. Which is the nearest to j? (a) w (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9603.0000003393 - -9603. What is i rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*v - 4*a, -5*a = -5*v - a + 170. Suppose -v = -3*x - 2*x. Let d = 97 - 43. What is the greatest common divisor of x and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aae (base 15) to base 16.\nAnswer: -96e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0893? (a) 0.5 (b) 3\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*q + 58, -2*q - 6 = -2*h + 14. Let i be 8\/(-28)*3*(h + 0). Which is the nearest to -0.1? (a) -0.2 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-6))\/(21\/(-868)). Suppose 5*q - 46 = d, -d - 99 = 2*d - 2*q. Let l = d - j. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 80123*q + 641008. Determine a(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttssqttqbbq. What is prob of sequence bb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -50800*f - 6959619. Give a(-137).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 119208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, q: 1}. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1269*z**5 + 43376*z**4 + 4992452*z**2 - 2.\nAnswer: 76140*z**2 + 1041024*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66038*v + 0 + 1 - 1.\nAnswer: -66038*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -6.2947499\nAnswer: -3.14737495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0*z**3 + 1\/20*z**5 + 0 + z - z**2 + 0*z**4. Let h(w) be the first derivative of i(w). Let l(j) = -4*j. What is l(h(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -130*q + 102. What is the remainder when b(-2) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 159*k - 158*k + 16, -k + 53*k + 931 = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 3113965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33 - 1) + 1 - 3. Suppose -31*x = -m*x - 1. Solve -b = -0*b - x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 246.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 825*y. Suppose -3*u + 8*u = 50. Suppose -u = -5*d - 0*d. Let l be z(d). What is l rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.1 - -10.5. Which is the nearest to 0.1? (a) i (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 3*h**2 - 19*h**3 + 7*h**2 - 4*h**2 + 0*h**2 to l + u*h**2 + m*h**3 + j*h and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 26, 57, 110, 191, 306, 461?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-10) + (495\/(-100))\/(-9). Which is the closest to 0? (a) -2\/17 (b) o (c) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5346 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 12, h: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 + -2111?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -574*h**3 + 9*h + 12. Let y(p) = -144*p**3 + 2*p + 3. What is 2*b(t) - 9*y(t)?\nAnswer: 148*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(1050)\/sqrt(6)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1388 times -3.71\nAnswer: -0.514948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 - 1697*w**3 + 39494*w - 25807*w - 22646*w wrt w?\nAnswer: -40*w**3 - 10182*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20825918 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11396 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-56)\/12 - -3)\/((-13)\/(-39)). Let w(l) = l**3 + 5*l**2 + l + 2. Let b be w(g). Let a(o) = 3*o**2 + 2*o - 2. What is a(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 24 = 0, 3*u - 279*v - 9 = -277*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**41\/u*u*(u**44\/u)\/u assuming u is positive.\nAnswer: u**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/8)\/((v**10*v)\/v)*(v\/(v**(-1\/4)*v))**(-5) assuming v is positive.\nAnswer: v**(-87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2927, 5874, 8845, 11840, 14859?\n\"Answer: 12*m**2 + 2911*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12963192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1827 - 1308. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1) + 3 + -2. Suppose -z*n + 3 = -1. Put -4, n, 3 in decreasing order.\nAnswer: 3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3479 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 5 (c) 2\/3 (d) -2 (e) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*b - 4*b + 12, b = 4*l - 3. Let k(j) = -4 - 2*j**2 + 3*j**3 - 2*j**3 + 0*j**3 - l*j - 3. Calculate the remainder when k(5) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468193.\nAnswer: 11, 31, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/4, -140787, 10, 0.3, 2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/800*-30*(-40)\/(-375)*6?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffsffsffffffffffff. What is prob of sequence fsff?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 21*u**2 - 5*u - 27. Let v(m) = -4*m**2 + m + 5. Calculate -2*o(w) - 11*v(w).\nAnswer: 2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9840 and 962475?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -1)\/(4\/(-8)). Let k be z + 3 + 2 + -1. Let f = k - -2. Solve 3 = -p + f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = 4*j, 0 = -f + 6*f + 4*j - 2. Let d = -2 - f. Let c be (-53)\/d - (-5)\/(-20). Calculate the highest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - -16?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/689 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 5*v**3\/3 + v**2\/2 - v. Let k be -5 - (3\/3 - -1). Let z(a) = -7*a - 1. Give k*z(l) - 5*h(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 4*x + 2. Let o be i(2). Suppose 2*b - 14 = -4. Suppose -4*g + g = b*m - 289, 166 = o*g - 2*m. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208 - -285. What is the units digit of (-21)\/6*(-44)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129448 or 129463?\nAnswer: 129463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1237292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35993 rounded to 3 decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 187839829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -9. Let a(z) = -z**3 + 8*z**2 - 7*z. Let t be a(7). What is the smallest value in 2\/7, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/6 - 143863*t\/6 - 2300272.\nAnswer: -(t + 96)*(t + 143767)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7)\/(((-468)\/63)\/(-13)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/3)*x)*x\/((((x*x**3\/x)\/x)\/x)\/x)*x)\/x**(-1\/29)*x**(-1)\/(x*(x*x**(-4\/5))\/x)*(x\/x**2)\/(x\/((x**(-2\/3)\/x)\/x)) assuming x is positive.\nAnswer: x**(-604\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300 + -268 - (9 - 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5866.228 years?\nAnswer: 70394.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3164803780 to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 10. Let s be v(9). Let g = s - 22. Is -11\/5 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/90 and 32\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38523*f + 76533*f - 38255*f + 1.\nAnswer: -245*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 971321 and 9347.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1) - (2170\/9927 - -3). Let h = x + -4\/1103. What is the common denominator of -20\/31 and h?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 6*n**2 - 18*n - 12. Let d = 5021 + -5013. What is h(d)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25048, -24489, -23942, -23413, -22908, -22433?\n\"Answer: -b**3 + 566*b - 25613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**2 + 6*q + 5. Suppose 80*r - 84*r - 4 = 0. Let p be y(r). Let m = 37 + -36.8. Which is the closest to 0? (a) p (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3447.404 rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8894*w - 84263 + 96543 + 41703 = -159473 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:31 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*t - 148, -5*q + 420 = 7*t - 12*t. What is the remainder when 189 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (-14 - (-3 + -7 + 6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3 - 5707988*f**2 = 0.\nAnswer: 0, 2853994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 204, 5, 0 in descending order.\nAnswer: 204, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {c: 1, s: 2, o: 1, t: 1, w: 1, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2549, 5096, 7641, 10184, 12725, 15264, 17801?\nAnswer: 20336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2347, -606, 1135, 2876, 4617?\n\"Answer: 1741*b - 4088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1890 and 15237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 77994280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1452) - (sqrt(1452) + -1)) + -4 - sqrt(1452)*-1*3) + 1 + 1*sqrt(1452) + -2)*3)**2 + -1.\nAnswer: -6336*sqrt(3) + 209231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1488 - 1.1488. Which is smaller: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12660.50616 to the nearest integer.\nAnswer: 12661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128636631 a multiple of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {f: 4, p: 5, s: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8659.18 litres in millilitres?\nAnswer: 8659180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/1080 + h**5\/360 + 14*h**3\/3 + 13*h**2. Let c(j) be the first derivative of r(j). Solve c(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 391.785 - 0.785. Let z = m + -386. Which is the nearest to 0.04? (a) z (b) -6 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 22*t. Let a(d) = 354*d. Calculate s(a(o)).\nAnswer: 375948*o**2 + 7788*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven tenths of a microsecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, 4, -2\/9, 0.5, 0.3 in decreasing order.\nAnswer: 4, 0.5, 0.3, 0.15, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -193, -695, -1695, -3361, -5861?\nAnswer: -9363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**2 + 7*u**2 - 23*u**2. Let s(o) = 2*o**2. Determine k(s(h)).\nAnswer: -28*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -5 (b) -0.0332 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*y + 200 = 12*y + 26*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) + 19\/39. Let t = c - 151\/390. Let d = -1.11 - -0.11. Is t < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -6 + 30. Solve 18 - 2 = k*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -139, -129, -115?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, -1\/884, 5, -3 in descending order.\nAnswer: 16, 5, 0, -1\/884, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*i, -2*m + 27 = 2*m + 5*i. Let q = m + 0. Let o(r) = -r**2 - 6*r - 2. Let c be o(-5). Calculate the greatest common factor of c and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) 0.3 (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brzm when four letters picked without replacement from zrbycym?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1179829 and 10633.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.828703 days in milliseconds?\nAnswer: 762799939.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.753528 centuries?\nAnswer: 0.5753528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(720)).\nAnswer: -12*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002909 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 588867 from 3.\nAnswer: -588864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 88\/225521?\nAnswer: 88\/225521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 239539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25166720, -25166719, -25166718?\n\"Answer: c - 25166721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let u be (-1 - -2)\/(-4 - 13\/(-3)). Calculate the greatest common factor of u and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1054870\/19 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (6 - 0 - 14) - (10 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -108cb (base 14) to base 10\nAnswer: -40163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 5*l + l + (3 - 1 - 3)*(-2*l - l + 2*l))*(3 - 5 + 0 + 2 - 2 + 6 + (1 + 3 - 3)*(-2 + 1 - 1)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.371 and -1.3?\nAnswer: -0.4823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1682*v**5 - 2*v**4 - 2*v**3 + 2*v**2 + 33*v + 4?\nAnswer: -100920*v**2 - 48*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.4, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128522739 is divided by 762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008374276 to seven dps.\nAnswer: 0.0000837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.11 (b) -2\/13 (c) -0.4 (d) 6 (e) 4 (f) -417\/271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583 + 8633 = 2*v. Let q = 11947\/3 - v. Let n = q - -42. Is 4\/21 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlulmlmmlwm. Give prob of picking 2 m and 1 u.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/13)\/(z\/(z\/(z*z**6)))*z**13*z*z\/((((z**(5\/3)\/z)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(394\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 396*j - 326. Let x(m) = -653*m + 654. Let w(h) = 5*f(h) + 3*x(h). Give w(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*y - 5 = 0, -4*b - 3*y - 2 = 9. Let q(r) = -5*r + 0*r - r**2 + 4 - 4 - b. Suppose -4*x = -4*h - 4 - 0, -3*h - 31 = 4*x. Give q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71438.78l?\nAnswer: 71438780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 331282891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 2, l: 1, x: 1, w: 1, t: 2}. What is prob of sequence xu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1237? (a) 4 (b) -2 (c) -8 (d) -0.1 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z - 8. Let b(v) = -11*v - 9. Let y(k) = 6*a(k) - 5*b(k). Let m(i) = i. Let n(j) = -6*m(j) - y(j). Does 5 divide n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + j - 7 = -4, 8 = 4*j. Let g(i) = -i**3 - 7*i**2 - 7*i + 2. Let s be g(-6). Suppose -4*k = -2*k - s. Put -5, m, k in descending order.\nAnswer: k, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6) + (-17)\/(-13). Let v = f + -4\/13. Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -287, -971, -1655, -2339?\n\"Answer: -684*p + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/8516 + -21823\/6387. What is the common denominator of d and -40\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10064319 is divided by 20837.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-365)\/(-146))\/(1\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3435 at least -2\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(5) + 0)**2*-1*-3 + -4)*-4.\nAnswer: -344 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 11, 3\/8, -6\/5, -33?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(3\/(-333))*(1300\/30)\/26?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23130067?\nAnswer: 23130067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2407 + -2405. Find q such that -1\/2*q - 1\/3*q**s + 1\/3 = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 + -4)\/((-2)\/(-3)). Let t(d) = -d**3 - 14*d**2 - 17*d - 13. Is t(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -40 - (5 + -1 - 2 - -4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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 g(z) = z**2 + z - 1. Let a(x) = x + 0 + 0 - 9*x**2 + 3 - 2. Let q be (-3)\/15 - 9\/5. Let w(j) = q*g(j) - 2*a(j). What is l in w(l) = 0?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - c**3 + 0*c**3)*(-1 + 1 + 2) - 4*c**3 - 2*c**3 + 3*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.402 - -1.53. Let q = a + -0.128. Sort 0.01, q, 5 in ascending order.\nAnswer: q, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170083 and 24621.\nAnswer: 14797221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 and 47\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4706 = -2*o, 67 = 2*o + 57. List the prime factors of q.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 4*g + 0*g - 3*g. Let c(q) = -2*q. What is c(d(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130045, 127643, 125241?\nAnswer: 122839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13521 - 6272 = -684*s + 1579 + 34716 for s.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 318018386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13434 (base 6) to base 3\nAnswer: 2220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*t**3 - 129139*t - 11*t**3 + 129139*t.\nAnswer: -108*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 1\/3*h**2 + 0*h + 150 - 2\/45*h**3. Find r such that w(r) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*p - 2*s, 5*p - 166 = 2*p + 5*s. Suppose 5*n + 0*j + 95 = 2*j, -20 = 4*j. Let h = n + p. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + -3*sqrt(20)\/sqrt(4))*-4 - (-3 + sqrt(405) + -1)) + -4 + ((sqrt(275) - 1*sqrt(275))\/sqrt(5))\/sqrt(11) + -2)**2.\nAnswer: 4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 16*q - 1. Let c be h(1). Let x = 26 - c. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 695 = 696. Let v(r) = -12*r**2 + 7*r. Let p be v(g). Let a(n) = -n + 2. Give a(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 3*v**2 + 4*v - 2. Suppose 4*o - 9 = 7. Let h be y(o). Let n be 6*h*4\/(-12). Solve 0 = -2*b - 3*i + 13, b - 23 = 4*b - n*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.07 (b) 0 (c) -22 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 14*l + 255 = 36*l, 0*c + 5*c + 2*l - 2 = 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4580 + 536*q - 1650*q - 4580)*(q**2 - 2*q**2 - q**2).\nAnswer: 2228*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 - 57\/(-9) - 2. Suppose 4*x = 4*y + 320, 5*x - q*y - 315 = x. Calculate the highest common factor of 119 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 + 7 = 0. Suppose -q*l + l = -36. Solve l = 3*j - 0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**5\/60 - 5*h**4\/12 - 3*h**3\/2 - h**2. Determine x(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2370 and 81054.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -530*k**2 - 27. Let c(s) = -132*s**2 - 6. Let h(p) = -9*c(p) + 2*w(p). Let d(y) = -7*y. Give d(h(m)).\nAnswer: -896*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 2:12 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 75, 105, 131, 153, 171?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 + 2.9. Which is the closest to 2? (a) 5 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3544\/(-24) + (-6)\/(-9). Let g = -29 + u. Let c be g\/(-480) - 4\/(-30). Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (98\/(-6))\/(-7)*(-102)\/(-17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*k + 36, 0 = -5*l - 5*k - 23 - 17. Is 2 - (l + 3) - -836 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 1:08 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 5) to base 9.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 8*t**2 + 10*t + 18. Let n be r(-9). Let g = n - 6. Put -3, g, 14 in descending order.\nAnswer: 14, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 546\/67841?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 73. Let n = 23 + f. Which is the third biggest value? (a) -2 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oddtdtyodtddttdtdyd. Give prob of picking 2 y and 2 t.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 4. Suppose -u = -4*x - 29. Let y(v) = -2*v - 8. What is the units digit of y(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and 41\/428.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utn when three letters picked without replacement from xxtxxuxnxktnnnux.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let t be s(-1). Let c be (t\/4)\/(2\/(-8)). What is the derivative of -3*l**2 - 2*l**2 + 8*l**2 - c wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 + 1?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -1000.\nAnswer: 11\/1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.34, 2\/21, 2, 171\/20, -67?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/79417575?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -19310?\nAnswer: -1930a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2388*0.27\nAnswer: 644.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 + 1)\/(1 + 0). Let r be (3\/b*-3)\/1. Let f(k) = 12*k**2 - k. List the prime factors of f(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/((-141)\/(-235))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 276.\nAnswer: -386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.8 - 2.2. Let t = r - -10. Put 2\/49, 4, t in increasing order.\nAnswer: t, 2\/49, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndm when three letters picked without replacement from {e: 4, d: 2, i: 1, j: 3, n: 3, m: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from {o: 2, u: 1, x: 1, n: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 3*g - 30. Suppose -g*k + y + 3*y = -50, -y - 10 = -k. Let t be k + -5 - (0 - -3). Calculate the greatest common factor of t and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -1 (c) -0.2 (d) 219 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235.29 + -239.43512. Let o = k + 5.745. Let w = o - 1.6. What is w rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(35685\/13))\/(6\/(-36))?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 11:12 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 2:39 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*q + b, 4*b + 11 = 4*q + 43 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147254 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 10) to base 16\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 g, and 1 q when four letters picked without replacement from orqorooorogrooloogqr?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149091244 by 2116.\nAnswer: -70459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 12:04 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:26 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1077 rounded to one dp?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -278606751.7 rounded to the nearest 10000?\nAnswer: -278610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*i - 524 = 6*i, 0 = 5*s - 4*i - 655. Let c = 51 - s. Let o = -52 - c. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3021 - 22?\nAnswer: -3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11*620.2\nAnswer: 6822.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9211572 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 5. Let a be o(0). Suppose 0 = 5*w + 7*w - 480. Let y be (-24)\/w*(-1)\/6. What is the nearest to -2 in 0, y, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3866672420.\nAnswer: 2, 5, 13, 37, 113, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v + 77\/4*v**4 + 0*v**2 + 103 - 86\/3*v**3. Find the third derivative of m(t) wrt t.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (882\/(-117) - -3) + (28 - (60 + -36)).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/7113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -892.894 times 1072?\nAnswer: -957182.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/2 of a tonne?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 14) to base 11\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 201 (b) -10948 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 308*z**3 + 1895*z - 1315. Differentiate c(w) with respect to w.\nAnswer: 1848*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gononoo. Give prob of sequence oogo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -350 - -344. Let z = 6 + -12. Let t be ((-3)\/z)\/((-3)\/b)*-47. Is -47 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137619 to the power of 1\/2, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803722639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -33. Let f be (c - 10)\/(1 - 4\/6). Suppose -517 + 89 = -4*n - 5*i, 0 = -n - f*i + 114. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -58*h + 65. Let b = 102 + -111. Is c(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -19\/2*w**2 - 24 + 9*w**3 + 0*w. Find the second derivative of c(n) wrt n.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1be14 + -12?\nAnswer: -1be26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 14*g + 8. Let x be z(8). Suppose j + x = 5*j. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5964.7916 rounded to the nearest 100?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2401 + 0*a**2 + 3*a**2 - 4768 + 17*a**4 + 2385 wrt a.\nAnswer: 408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfppoplfofpoloppfpo. What is prob of picking 1 f, 1 o, and 1 l?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 5 (c) 0.2581 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 1178?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 25*m**2 - 85*m + 29. What is the hundreds digit of k(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 9 = -5*w + n, 0 = 2*w + 2*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*l*x*z**6 - 12*l*x*z**4 + l*x*z + 2*l*x + 2*l*z**2 + x*z**2 wrt z.\nAnswer: 3360*l*x*z**3 - 288*l*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 3, 1, 4, 60, -25.008, -3 in increasing order.\nAnswer: -25.008, -3, -1\/5, 1, 3, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-51408)\/2340 + -37 + 59\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 13\/15)\/(-10). Let p = v + 91\/1200. Calculate the common denominator of -59\/12 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 555*n**3 + 3354*n**2 - 6724*n + 4488.\nAnswer: -(n - 2)**3*(n + 561)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 9 = 0. Solve 23 + 7 = 3*m + k*r, 3*r - 35 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902124 a multiple of 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14*z - 6. Let y(b) = -41*b - 18. Let t(s) = -17*i(s) + 6*y(s). Find the first derivative of t(p) wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 - 108*g + 3. Let c be o(-54). Let a = -7 + 15\/2. Factor -1 + 5\/2*s + 1\/2*s**4 - a*s**c - 3\/2*s**2.\nAnswer: (s - 1)**3*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 - (-58)\/12. Suppose 4*j - 2*j = 26*u - 31*u - 7, -3*j = -12. What is the smallest value in -5, u, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93821 is divided by 225?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -65896295.8 to the nearest 1000000.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w. Let n be t(-2). Let r(c) = -3*c + 6. Let k(f) = -1. Determine n*k(b) + r(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98307 = 322*n - 121169 for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*a = 161*a + 371245000. Round a to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by -41?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**2 + o. Let c be d(1). Let w be (-1550)\/c - (-10)\/(-30). Suppose -w = -7*a + a. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197160322 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*h + 313, -3*h = 3*c - 2*c - 183. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8)*8)\/(28\/12*-2).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 4*p - 5*p)*(-5 - 2 + 3) - 2382*p + 2384*p - 119 + 21.\nAnswer: -6*p - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 3*l - l**3 + 6*l - l**3 - l**4 - l as v*l + b*l**4 + p*l**3 + t*l**2 + h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204811 is divided by 17172.\nAnswer: 15919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*s**2 - 106*s**2 + 313*s**2 - 108*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-144)\/(-20))\/(-6)*635\/(-4572))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.78 - 232.22. Let o = m - -729. Which is the biggest value? (a) -0.3 (b) o (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -884 - -2?\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8383032 smaller than 8383042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 120, 66, -40, -216, -480, -850?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.99 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2. Let v(g) = g**2 + 3*g + 3. Let d(b) = -4*b**2 - 10*b - 10. Let z(s) = 6*d(s) + 20*v(s). Determine z(x(r)).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 365 + 2?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -331 - -380. Calculate the remainder when j is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134 and 6767.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35966, 35953, 35940, 35927?\nAnswer: 35914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) 1 (c) 1\/15 (d) 0.11 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 41*m**4\/4 - m**3\/3 - 5*m**2\/2 + 2*m - 3. Let q be g(2). Let d = q + -138. Does 38 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 719*i - 89868. Calculate x(160).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/609 (b) -13 (c) -3\/52 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -57. Let c = -404 - -409. Sort 0.9, c, -0.1, u in ascending order.\nAnswer: -0.1, u, 0.9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let d = 63 - 66. Determine v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 367, 385, 447, 577, 799?\n\"Answer: 4*c**3 - 2*c**2 - 4*c + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7931, -7371, -6459, -5213, -3651, -1791?\n\"Answer: -3*n**3 + 194*n**2 - n - 8121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 11*j - 22 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 46. Let n = u + 20. Factor -10*o**n + 8*o + 567 - 567 - o**3 - 33*o.\nAnswer: -o*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4557\/(-196)*2*1*12\/(-90)*5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1314 and -61\/2?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, d: 1, q: 5, j: 1, l: 2}. What is prob of sequence vlvd?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ba (base 12) in base 6?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 289*i - 974*i + 270*i - 1352*i**2 + 2 + 301*i wrt i?\nAnswer: -2704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*x - 16, 4*x + 5*v = 2*x + 18. Suppose -a - 2*z = 2*z - 22, x*z + 2 = 3*a. Calculate the smallest common multiple of a and (-1 - -2)*(1 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 904 and 40793.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 79. Suppose 4*v - f = -3*p, 2*p = -p + 4*v + 16. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853403000 rounded to the nearest 1000000?\nAnswer: 1853000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 238 = 5*u - 277, -41 = 5*k - 4*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25940770247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(-7)\/u))\/((u*u**(-2\/113))\/u))**29 assuming u is positive.\nAnswer: u**(32828\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*p - 312*p - 57*p - 548*p.\nAnswer: -829*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = -3*u. Let y(m) = 6*m**2 - 1. What are the prime factors of y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -0.1, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05759? (a) -2\/5 (b) -202 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190561.\nAnswer: 7, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289 - -294. Solve -5*a + c + 5 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 68*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let v(f) = -f**3 + 4*f**2 - f - 1. Let u be v(3). Suppose -d - s = s, u*d = -5*s. Let g(h) = -h + 0 + d. What is l(g(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**13*w)\/w**(3\/7))**(-5\/3)*(w\/w**2)**(-18)\/((w*w\/w**5)\/(w\/w**(-9))) assuming w is positive.\nAnswer: w**(1051\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/10 - (5 - 511\/105))*(7 + -21)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 + -41 + 18) - -8.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12608*f - 798.\nAnswer: 12608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/2 + 4*x**3 - 23*x + 10. Differentiate u(t) with respect to t.\nAnswer: 6*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 + 360*w**2 + 268*w - 293. What is the ten thousands digit of x(-119)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4925 by 5.\nAnswer: -985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237320*m - 59323*m - 59337*m - 59336*m - 59334*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - k**4 - k + k + (-2*k**2 - 62 + 62)*(-35*k**2 - 34*k**2 - 13*k**2) + (-3*k - 2*k**3 + 3*k)*(-k + 4*k - 4*k) - 4*k**4 + k**4 + 2*k**4.\nAnswer: 164*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26023 and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 n when four letters picked without replacement from {f: 1, h: 1, m: 2, n: 2, v: 1, j: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2\/3*p**3 + 8*p**2 + 118 + 32*p. Let w(d) = 0. Calculate d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 0*j + 0*j)*(-670*j**3 - 5 + 636*j**3 + 4) as s*j**4 + q + w*j**2 + k*j**3 + y*j and give s.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*t + 10, -t + 6 = -4*t - 3*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 = -3*z, -3*v + 16 = -4*z + 4. Let w(i) = i - 4*i + v*i + i. Let f(u) = 5*u**2. Give f(w(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91574151899\/11604852540 - 1467\/1353020. Let c = l - 1\/953. Find the common denominator of c and -6\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from ccccpccxcfcfffxf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k + 12 = -28*k. Solve 35*z - k = 36*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.451 and 462446108?\nAnswer: 462446110.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*i = 9*o - 3450808, -3*o - 3*i + 2588109 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 2*o - 2*o + ((1 + 1 - 3)*(3*o**2 - 2*o**2 - 3*o**2) + 274*o**2 + 652*o**2 + 547*o**2)*(0 - 1 - 2) in the form s + d*o + a*o**2 and give a.\nAnswer: -4422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -31\/6, -4, 5, 4\/7 in ascending order.\nAnswer: -31\/6, -4, -0.3, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/60 - j**3\/6 - 6*j**2. Let o(x) = 4*x**2 + 3*x + 5. Calculate -5*i(v) - o(v).\nAnswer: v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 3*f**6\/2 - 12*f**5 - 27*f**4\/4 + 14*f**3 - 73. Find p, given that r(p) = 0.\nAnswer: -1, 0, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = -4*o - 44, -2*o = -5*t + 44. Suppose 6*d - d + g = -42, 5*g + 10 = 0. Let j = o - d. Let q(w) = -3*w - 6. What is q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 0*g**2 + g**2 + (0*g + 3*g - 2*g)*(-2*g - 4*g + g) + 3*g + 2*g**2 - 3*g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009544 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 - 2.6. Let n = -10 - t. Which is the closest to -0.1? (a) 0 (b) -0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 11*r**2 + 9*r + 9. Let c be b(10). Sort 4, 2, c in descending order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29349?\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79713247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -99*h**4 - 1945*h**3 + 297*h**2 + 6033*h + 3890 = 0.\nAnswer: -1945\/99, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*3\/(-3) - -3. Suppose 0 = 69*o + 84 - 3465. What is the remainder when o is divided by ((-1)\/(2\/(-34)))\/t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -15*a + 63. Determine o(-4).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 15*a**2 - 4*a - 57. Let q be o(-15). Let z = -192 - -277. Suppose 5*n = -z + 5. Sort n, q, 2 in decreasing order.\nAnswer: q, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -5*a - 2*g, -4*g + 5 + 3 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 4*v = 2*v + 82, -5*v = 657*q - 660*q + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 8 - 22 + 23*k to the form d*k + r and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -1)*8\/(-6). Let u(j) = j**2 + 12*j + 12. Let y be u(-11). Let k be 3 + -6 + 14 + y. What is the greatest common divisor of k and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -10 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 36 + 3)*(-12 + 12 + 4*a**3)*(-1 - 3 + 5) to n*a + l*a**2 + b*a**3 + t and give b.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let h(a) = 22063*a**2 - 264. What is t(h(n))?\nAnswer: -22063*n**2 + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 5*w**2 - 10*w - 6. Let s be z(-6). Let c(q) = -6*q + 132. Let p be c(s). Calculate the greatest common divisor of p and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/8 + 1747625*i\/8 + 1310721\/2.\nAnswer: -(i - 1747628)*(i + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 3*l + 4. Let g(a) = -a**3 + 6*a**2 + 7*a - 5. Let n be g(7). What is f(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 348\/(-36))*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 23*t**2 - 3*t - 15. Let q(m) = -100*m**2 + 13*m + 61. Let k(j) = 26*b(j) + 6*q(j). Let y(l) = -4*l. What is k(y(o))?\nAnswer: -32*o**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 798713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 47*b**3 + 4*b**4 - 5 - 52*b**3 - 3*b**4 - 2*b**2 + 103*b**3 + 6 in the form d + q*b**4 + u*b**2 + k*b**3 + z*b and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15032 + 15033. Let b = -2.1 - -0.1. What is the nearest to c in 11\/4, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**2 + 0 + 2\/9*a**5 - 8\/9*a**3 + 0*a**4 + 0*a.\nAnswer: 2*a**3*(a - 2)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:34 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2962.84777 to the nearest 10.\nAnswer: -2960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 232, 2, -739574 in decreasing order.\nAnswer: 232, 2, -739574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 149, 146, 139, 128, 113, 94, 71?\n\"Answer: -2*m**2 + 3*m + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-5))\/(6\/15). Is 33\/(((-27)\/6)\/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 mth term of -214, -230, -280, -382, -554, -814?\n\"Answer: -3*m**3 + m**2 + 2*m - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00608511676 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 8. Let t be q(7). Suppose d + t = 4*d. Suppose d*j - 61 = v - 5*v, -3*j + 47 = 5*v. Calculate the remainder when 17 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 1\/5, 1\/6, -4\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a + -82?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 + 5 = 0. Let p(r) = -r - 4. Give p(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573709147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -531*d*g**3*y**2 - 8*d*g**3 - 118*d*g**2*y - 35*d*g**2 - d*y - 13*d + 7*g**3 + 2*g*y**2 wrt g.\nAnswer: -3186*d*y**2 - 48*d + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -31. Suppose -24 = -0*y + 4*y + 3*o, 3*y + 25 = -4*o. Sort y, 11, s in ascending order.\nAnswer: s, y, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-278)\/1807 - (0 - 212\/26). Let s(m) = 5*m - 33. Give s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - 11*x - 27. Let h(y) = 2*y**2 + 5*y + 18. Let r(u) = -6*c(u) - 10*h(u). Determine r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1749334, -3497658, -5245982, -6994306?\n\"Answer: -1748324*f - 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216876849 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 11. What is the tens digit of (1 - (c + -1)) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*q - 55*q + 95*q as p*q + m and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + 40)*-14*2\/10*1665\/(-222)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -837.6714615 rounded to two decimal places?\nAnswer: -837.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 67 + -2283 + 2171?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-130)\/(-75) - (-2 - 24\/(-9)). Which is the closest to t? (a) 2 (b) -3 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24268033 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 57209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -19*n - 31. Determine i(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 184\/40 + 144\/(-90). Let c(f) = f - 1. Let g = 0 - -1. Let h(t) = -t**2 + 3. Give g*h(s) + o*c(s).\nAnswer: -s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 11 (b) -1 (c) -2\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -3, -9, -29, -69, -135?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n. Is 12 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3052 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: In base 5, what is 34131 - -10?\nAnswer: 34141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7917.226 rounded to the nearest ten?\nAnswer: -7920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let t(s) = -3*s - 49. Let y be t(-23). Let i(b) be the first derivative of -5*b**2 - 11 + 4 + y. What is f(i(r))?\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/5, -1\/3, 25\/2, 57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-639)\/33 - -9 - -10. Let o = -0.028 - -0.028. Which is the nearest to m? (a) o (b) 5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 4:26 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.020171 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6.2. Let t(q) = -q**3 - 5*q**2 + 6*q - 5. Let k be t(-6). Let r be 1\/6*(-4)\/(-4). What is the nearest to -1 in k, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(-2*25)\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d - 258. Let y(b) = b - 28. Let r(i) = -2*p(i) + 19*y(i). Let v be (-23)\/(-4) - 3\/4. Let g be r(v). What is the greatest common factor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -7*o + 154. Suppose o = n + 6*n. Solve -2*k - n*q = -0*k + 10, 0 = 2*k + 3*q + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7909*x. Let r(s) = -11*s**2. What is r(p(c))?\nAnswer: -688075091*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -557836 or -13.4?\nAnswer: -13.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmzjbjdsssmsmm. What is prob of picking 1 z, 1 j, and 1 d?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -501.17 less than -107.4402?\nAnswer: 393.7298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8*x + 9*x = -1971, -4*x + 2962 = 3*m. Suppose 30*z - m = 1024. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.88214 - -0.14.\nAnswer: 12.02214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-14))\/((-696)\/(-812))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 21*n - 14. Let c(z) = -z**2 - 253*z - 2177. Let y be c(-9). Determine i(y).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yem when three letters picked without replacement from {i: 1, y: 3, x: 1, e: 1, m: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z + 53929 = 21295. Calculate the greatest common factor of 148 and z.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {h: 3, r: 6, e: 1, j: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/40)\/((-22)\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-14.87.\nAnswer: -1.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200210 (base 3) to base 9.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i + 82 - 114. Suppose 5*j + i*v = 31, 3*j - 6 - 11 = -2*v. Solve -4*t = 3*d + 13, -j*d + d - 4 = -2*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + -6. Let j = -1722.2396387 + 1653.23965. Let g = w - j. Round g to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2904 + -2902. Let b = 4 + 40. What is the nearest to 0.1 in u, b, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39527 + -355148?\nAnswer: -315621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 5:17 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000102046 to six decimal places.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 8*z - 4. Let k be d(-6). Suppose 5*x = -r + 4*x + 36, -5*r - 3*x + k = 0. What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488 and 930?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040460606 rounded to seven decimal places?\nAnswer: -0.0000405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0*w**5 + 0*w**3 + 35*w + 0*w**6 + 23\/42*w**7 - 13\/12*w**4 + 0 + 0*w**2. Find the third derivative of l(q) wrt q.\nAnswer: 1380*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b + 33590 - 30782 = 0 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 25*i - 23*i - 18*i**2.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:37 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21131312 + -23?\nAnswer: -21132001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 50*z - 52*z + 102*z. Let i(m) = -25*m. What is i(s(y))?\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019860494 a multiple of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54025, -107863, -161703, -215545?\nAnswer: -269389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*f - 13627 + 18067 = 0 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f + 825 = 0. What is the common denominator of -73\/2 and (f\/16)\/((-12)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58c (base 13) to base 10.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -5 (c) 16\/11 (d) -12\/5 (e) 11\/5 (f) -3\/7 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172 + 171.99999537. Round f to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1432995 rounded to 3 dps?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 435286 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: Simplify 0 + (-1*sqrt(2800) + 3)**2 + 2.\nAnswer: -120*sqrt(7) + 2811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 315.1402s?\nAnswer: 315140200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621742743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1333 - -12214?\nAnswer: 14102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -59. Is (s + -2)*(-860)\/(-30) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5115, -4687, -4259, -3831, -3403?\n\"Answer: 428*c - 5543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:21 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -254200 divided by -40?\nAnswer: 6355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/(l\/l**(-4)))\/(l*l*((l**3\/l)\/l)\/l*l*l)**(17\/3) assuming l is positive.\nAnswer: l**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2. Let v(t) = 699*t**2. What is v(o(a))?\nAnswer: 6291*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - b0bec?\nAnswer: -b0beb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 195796*k - 4501192.\nAnswer: -4*(k - 48926)*(k - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 47*k**2. Let h(f) = 6*f - 11. Let i(m) = m - 2. Let g(s) = 2*h(s) - 11*i(s). Give r(g(l)).\nAnswer: 47*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 836 and 844 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -44\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umuhpphuhmmhup. What is prob of picking 2 m and 1 p?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*w + 61 = -6*w, 0 = 2*o - 4*w - 138. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/7 (b) 2\/21 (c) -26\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l. Let i be 5*(6\/(-12) + 15\/(-100)*-6). Suppose 2*r = l, 3*r - 322 = -4*p + i*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 15\/16 (c) 0.4 (d) 1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 7*g + 7. Let l(r) = 13*r**2 - 78*r + 78. Let p = 292 - 370. Let s(n) = p*k(n) + 7*l(n). Let b(u) = -12*u. Calculate b(s(o)).\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.5. Let a = -0.44 + 0.04. Let u = r + a. Which is bigger: -1\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, a: 6, c: 1}. Give prob of sequence aaa.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 29*q**2 + 8*q + 50. Let a(y) = -y**3 - 29*y**2 + 7*y + 51. Let w(b) = -6*a(b) + 5*g(b). Let m be w(-29). Are 0 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1611512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2. Suppose l - 6 = -2*l. Let i be (45\/3)\/(9\/6). Let j(c) = 3*c**l - 10 + i. Calculate j(d(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = 3*t, -2*t = -y - 3*y + 24. Let s(k) be the third derivative of 1\/60*k**5 + 1\/6*k**3 + 7\/24*k**4 - 13*k**2 + 0 + 0*k. Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 11\/5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 448584.92 rounded to the nearest ten thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = -2*y, -i + 13*y - 9*y = -5. Solve 5*k - 5*l = 10, -i*k - 3*l + 0 - 22 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(4\/(-32)). Let v(c) = -c**2 - 7*c - 6. Let l be v(f). Suppose -l*p = -2*p - 140. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-400) - 21\/35.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 9 + 5 = 0, j = 4*t - 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 14*z**2 - 2*z - 16. Let l be j(-14). Suppose l*c - 57 = 9*c. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 40 - 6*t + t + 19 - 9*t.\nAnswer: -14*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 2*r - 3. Let f be l(3). Let o be (f - -13) + 4\/(-1). Suppose -5*s - 8 = -9*s. Solve -11 = -o*w - s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1 = -2*m, m - 4*r = 3*m. Solve m*n + 1 + 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a millennium in decades?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31.37 (b) -2\/129 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3198 - -3203. Determine p, given that 0 + 4\/7*p**2 - 2\/7*p**4 - 1\/7*p**o - 4\/7*p + 3\/7*p**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42634 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*181088\/16977.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489978835 to the power of 1\/3, to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -280740 rounded to the nearest 1000?\nAnswer: -281000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*x - 0*n + 94, -5*x = 5*n - 250. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 28 = 2*z - 7*z, 0 = 5*q + 4*z - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 20 - 12 = 0. Suppose 3*s = -2*i + 238 + 63, -3*s - p*i = -311. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257952 times -0.2\nAnswer: -51590.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236.40747s to minutes.\nAnswer: 3.9401245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -64942.77?\nAnswer: 194828.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.1655 micrograms in milligrams?\nAnswer: 0.2201655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521470667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from abbzazzzbbz.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2. Let g be -3*(-1 - (5 + -1)). Let l(s) = g - 24 - s + 9. Determine l(q(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 n, and 1 k when four letters picked without replacement from ikikiniiikninknnnkn.\nAnswer: 245\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b5 - 10?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Find the third derivative of 3*l**3*t + 2561306*l**3 + 19*l**2*t - 90766*l**2 wrt l.\nAnswer: 18*t + 15367836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 29459004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -5.05 take away -0.616212?\nAnswer: -4.433788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(9 + 0)*-1. Let s(x) = -x - 4. Let l be s(0). Let f be (-15)\/44 + (-1)\/l. Which is greater: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f**2 + 3*f + 7. Let u(n) = n**2 - 1. Let g(h) = a(h) + 4*u(h). Let v = -10963 - -10971. Let b(s) = -20*s**2 + 8*s + 8. Calculate v*g(j) - 3*b(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1344\/(-98))\/(-16)*1*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14075*s = 14087*s + 264 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8*s**3 + 316*s - 843. Let h(x) = 3*x**3 + 158*x - 422. Let c(m) = -5*h(m) + 2*k(m). What is the first derivative of c(t) wrt t?\nAnswer: 3*t**2 - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2760*k**2 + 572*k - 16 = 0.\nAnswer: 1\/30, 4\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 3. Let b be o(6). Find the third derivative of 6*c**3 + 0*c + 0*c - 20*c**2 - 3*c**b wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 5*q**2 + 7*q - 5. Suppose -14 = -2*b - 4. Suppose b*w - 4 = 4*w. What is t(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 594\/36361 or -1?\nAnswer: 594\/36361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -14 - (-109 - -87)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q - 9. Let h(z) = 6*z - 10. Determine 4*h(k) - 5*w(k).\nAnswer: -k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165\/4 + 2497\/60. What is the common denominator of r and -187\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 29*q + 49*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -g - 5*u, -3*g + 0*g - 2*u = 40. Is ((-1)\/3)\/(g\/(-18))*-1655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46682 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 2. Let h = -1 - -10. Let p(u) = 2*u + 1. Let a(j) = h*p(j) - 4*w(j). Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + c - 2. Let u be l(2). Suppose -58962 - 19786 = u*f. Let p = -13713 + f. Round p to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/14)\/m*m**(-3\/4)*(m**(-1\/3))**34 assuming m is positive.\nAnswer: m**(-1105\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -434*x - 124. Let f(n) = n + 1. Let v(d) = -124*f(d) - t(d). Let w be v(4). Round w to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(117)\/(sqrt(9)*1) + sqrt(13))**2 + 2 - ((sqrt(104) + sqrt(104) + sqrt(104) + sqrt(104)*1)\/sqrt(8) + 1 + 3).\nAnswer: -4*sqrt(13) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 15*z - 39. Let s be m(-10). Solve -w + s = -40*q + 42*q, 3*w = -q + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {h: 1, o: 3, k: 2, v: 3, t: 2, f: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11813 + 957\nAnswer: -10856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(t + 3*t - 2*t) + 9 - 9 + 3*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (74\/8)\/((-2)\/8)*2\/(-8). Determine u so that 30*u + 3\/4*u**3 + 9 + i*u**2 = 0.\nAnswer: -6, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 33. Suppose 5*m - 2*i = 4 - 0, 3*m = -3*i + f. Differentiate -4 - 3*n**4 - m + 4*n**4 with respect to n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.346547 milligrams in kilograms?\nAnswer: 0.000009346547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*j - 49 - 133, -j = 5*w - 181. What is the remainder when 381 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12669 is divided by 3114?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 0*x)*((1 - 1 - 2)*(0*x**2 + 2*x**2 - 4*x**2) + 4 - 4 + 2*x**2).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6)\/((-3)\/(-81)). Find the third derivative of -46*g**4 - v*g**2 + g**3 - g**3 + 22*g**4 wrt g.\nAnswer: -576*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*(-7)\/(-42)*4\/2. Suppose -2*z = -2*w - 250, k*w + 121 = 3*z - 2*z. List the prime factors of z.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6272*w**2 + 8178 wrt w.\nAnswer: 12544*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -7. Let a = q - -6. Let l be (-240)\/(-45) + -3 + -1. What is the smallest value in l, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 33*u + 3. Calculate the highest common factor of u and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 + 12*v**2 - 12*v**2 + 59*v**3 as a*v**2 + r*v**3 + y + f*v and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 510\/(-1445)*((-8)\/(-6))\/(-4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 45*w - 110.\nAnswer: 5*(w - 11)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -47513137 divided by 4\nAnswer: -47513137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 258?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*n + 4*n + 5*z, -4*n - 5*z = -85. Sort 4, -2, n in decreasing order.\nAnswer: n, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*j + 70*j - 130*j)*(-2 - 1 + 2)*(-4 + 1 + 2).\nAnswer: -139*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 16?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-25)*d)\/d)\/d*d**(-27)\/d*d*d*d**(20\/11)*d*d*(d*d\/(d*d**(-5\/7)))\/d*d)**16 assuming d is positive.\nAnswer: d**(-57248\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*6\/3*-2. Suppose 0 = -35*i + 8713 - 8888. Put b, -10, i in ascending order.\nAnswer: -10, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6709 less than -0.2?\nAnswer: -6709.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 83 and -0.053.\nAnswer: 82.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 820232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155 - 125. Let d be 2\/x + (36\/(-10) - -3). Let l = -6\/5 - d. Which is the closest to 1? (a) l (b) -0.1 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 524*l + 524*l - 43 + l**3 + 6409*l**4 in the form k*l**4 + j*l + h*l**3 + p + f*l**2 and give k.\nAnswer: 6409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145462.\nAnswer: 2, 257, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u**3 - 2*u + 4. Is w(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from vjvzj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75884856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3571097262?\nAnswer: 2, 3, 227, 2621951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2. Let a(g) = 162*g + 1. What is j(a(c))?\nAnswer: -26244*c**2 - 324*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + -2956*1\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -19*h**3 + 11*h**2 + 4*h + 1. Let f(g) = -g**3 + g**2 + g + 1. Let n(y) = 4*f(y) - j(y). Let d(r) = 7*r**3 - 3*r**2 + 1. What is 7*d(v) - 3*n(v)?\nAnswer: 4*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 12. Suppose -2*u + 12 = -u - v, -3 = -u - 2*v. Let j be a(u). Solve -j = m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 11*q + 18. Let p be a(-7). Let d(v) = 2*v**2 - 9*v + 18. Let s be d(p). Suppose x - s = -3*x. Is x a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.11 and 823.0166?\nAnswer: 823.1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 49306001?\nAnswer: 2\/49306001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12006*w**3 - 44*w**2 + 4096343 wrt w.\nAnswer: -36018*w**2 - 88*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14*(24\/16*-277)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**3 + 32501*d - 32501*d.\nAnswer: 21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -314.3 * -0.35.\nAnswer: 110.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.5 - -5.7?\nAnswer: 56.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 873 + 2*a**3 - 2619 + 2*a**4 + 870 + 877 + 168*a as i*a**3 + h*a + x + w*a**4 + v*a**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) - (-21)\/(-6). Suppose -1 = 3*f - 0*f - 4*g, -2*f + g = 4. Let k be 2\/f + (-4)\/3. Put l, k, 4 in increasing order.\nAnswer: l, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186096645?\nAnswer: 5, 67, 3540587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -31. Let q be ((-6)\/5)\/((-6)\/(-20)). Let m(l) = 5*l**3 - l - 4. Let x(p) = 14*p**3 - 3*p - 11. Let c(v) = j*m(v) + q*x(v). Factor c(t).\nAnswer: -t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -5\/2*m**3 - 1\/48*m**6 - 55\/48*m**4 + 8*m - 1\/4*m**5 + 0 - 3*m**2. Factor y(u).\nAnswer: -5*(u + 1)*(u + 2)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -4)*3\/3. Solve 27 = -3*a + 5*p, 0 = a + 2*p + x - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*a + 414, 0 = -v + 2*a - 3*a + 415. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 27 = -31*v. Let d(o) = -29*o**3 + 2*o**2 - 1. What is d(v)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8720 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 4\/3, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 16, 4*g - 64927 + 64963 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8422, 8289, 8156, 8023?\n\"Answer: -133*i + 8555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 483 + 367. What is the greatest common factor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5, -2\/9, -1\/1049, 3, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252.65922 - 746393.79078. Let o = d - -746744.449814. Let n = o + -98. What is n rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 18 - (-5 + 4 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31188*t = 31122*t + 858 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -617?\nAnswer: 5\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 8. Let r be 2\/(-10) + 22\/i. Let a be (-3)\/(-2 + r\/4). Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*2\/(-24) + (-121)\/(-66). Let n be 5*(-1)\/j*152. Let o = 287 - n. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 34*p - 236. Give b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y. Let d be j(-2). Suppose d*a = -a + 5. Suppose -3 - a = -m. Solve -4*l + m*l = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -12 - 56. Is (h\/8)\/((-1)\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k - 2. Let p be f(-3). Let o be (2 - 4)\/p*-4. Solve -7*m - 25 = -o*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -667 - -1027. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/7)\/((-4)\/(-2)). Let k be (136\/40 - 3)*(-11)\/((-154)\/(-21)). Which is the second biggest value? (a) k (b) -0.4 (c) m (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1617, 5431, 11793, 20697, 32137, 46107, 62601, 81613?\nAnswer: 103137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/24 - 13*k**3\/6 + 7*k**2. Suppose 4*g + 5 = -2*t - 3, 4*g + 8 = 0. Calculate j(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1157896 and 16\/434211?\nAnswer: 3473688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 7*x**2 + 11*x + 6. Let u be 60\/(-18)*(-6)\/(-4). Let t be r(u). Which is the nearest to -0.1? (a) -1\/4 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 15*o - 16*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17434.1 - -17434. Let z = 0.3 + -0.24. Let d = 0.04 + z. What is the biggest value in d, -6, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/45)\/((-1)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.13 - -16.68. Let d = -0.19 - i. Let b = d - -20.95. Round b to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*a = 2*b - 4 - 0 - 5, a = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*s - 338*s + 165*s.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -5*r - 13*r**2 + 0*r**3 + 0 - 7\/24*r**4. Let v(q) = -12*q. Calculate v(f(l)).\nAnswer: 84*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 510.26763 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 12*i**2 + 2*i - 2. Let b(k) = k**2 + k - 1. Let p(v) = -2*b(v) + r(v). Let q(n) = -458 - 485 + 1430 - 487 + 6*n. Calculate q(p(y)).\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 11:05 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447*2033.\nAnswer: -908751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - 175\/(-21). Let a(p) = 11*p - 66. Let t be a(6). Sort t, d, -3, 2 in increasing order.\nAnswer: -3, t, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 18*o**2 - 1 + 5 - 5*o**2 - 12*o**2 - 3*o + 10. What is c(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 341*q**2 + 10704*q + 44. Determine r(35).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 11:25 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1680759*l**3*o + 10*l**2*o - 169*l*o - 9 wrt l.\nAnswer: 10084554*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36297414?\nAnswer: 2, 3, 17, 118619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/55279 and -31\/1342490?\nAnswer: 9397430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*z - 2. Let o be (z\/4)\/((-3)\/24). Solve f = o*f - u - 6, f = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99951*k**5 + 69*k**4 + 11484602*k?\nAnswer: -1999020*k**3 + 828*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1022 divided by 49.\nAnswer: 146\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*u - 67 + 8, 88 = -5*u + z. Let l = u - -19. Let x = 3 + 0. Solve 0 = -l*d + 4*p - 12, d - 3*p - 1 = -x*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y + 4. Let z(a) = 12*a - 7. Let h(g) = 7*m(g) + 4*z(g). Let x(f) = -5. Give 2*h(n) + x(n).\nAnswer: -2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 - 690*y**3 - 452944*y**2 - 1803432*y - 1800640 = 0.\nAnswer: -331, -2, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 1\/30, 61, -2?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11122332121 (base 4) in base 6?\nAnswer: -50243401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 7. Let w be p(-4). Let z(u) = 6*u + 5. Let k be z(w). Let x be (k + 11)*(-5)\/(-4)*-2. Solve m - 2*m + x = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*20144\nAnswer: -6043.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 102 = -75 + 373 - 73 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 117?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264025 (base 8) to base 2.\nAnswer: -10110100000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 17*t - 10. Let l be j(16). Suppose -l = -g - 0*g. Let n be (-4)\/((-15)\/g - -2). Is n at most 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 13 + 21 + 106*d in the form o*d + n and give o.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.3, -45, 0.38, 1\/5, 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:38 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17989, 71962, 161917, 287854?\n\"Answer: 17991*z**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/15 - 20*l**2\/3 - 250*l\/3.\nAnswer: -2*l*(l + 25)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 130 = -5*n, 0 = -v - 4*v - n - 2 + 124 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8409 and -86.71.\nAnswer: 8322.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/15)\/(12295\/3075 - 4) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44081445 and 30?\nAnswer: 88162890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/20 - (-82)\/(-10). Let j = x + 7. Let q be (-1)\/(-5) + (-2)\/60. What is the closest to 1 in 0.1, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 0*l**2 + 3\/10*l**5 - 4\/3*l**3 + 1\/15*l**6 + 0*l**4 + 0 - 2*l. Factor j(s).\nAnswer: 2*s*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -46 + -9 - -47.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 = 9. Let m be 500\/3*(6 - 118764\/k). What is m rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 6 - 6)*(-14 - 3*w - 17 + 35).\nAnswer: -6*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -30*j**2 + 1. Let h(s) = -2621*s**2. Calculate d(h(q)).\nAnswer: -206089230*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or -3\/280?\nAnswer: -3\/280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -87. Let m be (13\/(130\/525))\/((-2)\/o). What is the greatest common divisor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 13\/2. Let s(n) be the first derivative of 1\/4*n - 1\/2*n**3 - d*n**4 + 2 + 0*n**2 - 3\/20*n**5. Factor s(i).\nAnswer: -(i + 1)**3*(3*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4257.3 to the nearest 10.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9272274 greater than 46361367\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 7*o**2 - 63*o + 233. Let s be b(21). What is the highest common divisor of s and 496?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -949837*p**2 + 2224471 wrt p?\nAnswer: -1899674*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294.01 - 295.01. Let s be (4\/25)\/(4\/10). Which is the closest to -0.1? (a) 0.3 (b) l (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43528, 43523, 43518, 43513, 43508, 43503?\n\"Answer: -5*t + 43533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 64 = 4*r. What is the derivative of 45*b + 46*b + r - 96*b wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 22*k + 1 - k)*(-243*k + 4 - 5 + 215*k).\nAnswer: -616*k**2 - 50*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 120?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:45 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*c - 7 = 0, w - 4*c = -30 + 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1. Let g(b) = b + 5. Let y(r) = r - 1. Let q(a) = 3*a - 7. Let h(f) = -q(f) + 4*y(f). Let p be h(-9). Give p*w(c) + g(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1599\/11 equal to -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 159.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/385244 and -58\/999?\nAnswer: 10401588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7570 (base 11) in base 10?\nAnswer: -9999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 1 + sqrt(396) + -3)**2.\nAnswer: 72*sqrt(11) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -1\/20*v**5 + 0*v**4 - 19 + 18*v + 0*v**3 - v**2. Let g(b) be the first derivative of p(b). Calculate g(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -4 (b) -4\/9 (c) -1.3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 394349338 + -7093\nAnswer: 394342245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/10*3\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -9, 67, 215, 459, 823, 1331, 2007?\nAnswer: 2875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 9 = -5*z. Let p be 412\/(-6) + (-3)\/z. Let v = p + 105. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 654 = 714. Calculate the least common multiple of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {g: 1, x: 3, z: 1, k: 5, a: 4}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487*i = -478*i - 36. Let y be (-28)\/i*8\/(-28). Solve 2*x - 3*t = 1 - 6, -y*t = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.195*-3.\nAnswer: 0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 224435?\nAnswer: 1\/44887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*p - 129*p + 12 = 0. Let r(w) = 2*w - 12. Let x be r(p). Solve -4*f + n = 5*n + 12, 3*f + 4*n + 10 = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 6*d + 3. Let p be t(7). Let j = 19 - p. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397517, 795065, 1192663, 1590335, 1988105, 2385997?\nAnswer: 2784035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + 2 - 6 - -4 - 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u + 1. Determine a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5800.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/36 and -16.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 14, -2, -24, -52, -86?\n\"Answer: -3*n**2 - n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/21 + 197\/(-3))*-1. Let t = c - 73. Let h be -1*(0\/3 - 1). Put t, 2, h in descending order.\nAnswer: 2, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 30*t + 35. Give n(11).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 447\/4 - 112. Let b = 2184 - 1788. Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*x**3 + 57399*x**2*z - x*z + 2*z + 60330349 wrt x?\nAnswer: 9*x**2 + 114798*x*z - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -33*i**3 + 9*i**2 - 5*i - 3. Let t(l) = 33*l**3 - 10*l**2 + 4*l + 3. Let k(b) = 4*j(b) + 5*t(b). What is the third derivative of k(y) wrt y?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/6 + 4*x**2 + 23*x + 98. Let f(r) be the first derivative of j(r). Let k(n) = 3*n. Give f(k(c)).\nAnswer: 18*c**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 0 + 4 - 9 - -25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.63083? (a) -1 (b) -0.4 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4372372 and 898511?\nAnswer: 5723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + v + 1. What is w(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from llmmmmmmm?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3009, -6022, -9035, -12048?\n\"Answer: -3013*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 18*i**2 - 8*i - 23. Let o(w) = 14*w**2 - 7*w - 17. Determine 5*o(m) - 4*q(m).\nAnswer: -2*m**2 - 3*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 224595?\nAnswer: 224595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -23, -212, 29, 5 in increasing order.\nAnswer: -212, -23, -5, 1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j + 39. Let n be k(6). Solve 5*z + 5 + 1 = -2*u, -n*z = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305710037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8248 - 8253. What is the smallest value in 5, 1, 1\/2, z, -0.102?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/42*(-1650)\/11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaeggegaggaeae. What is prob of picking 1 e and 1 g?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.50029 * -2.\nAnswer: 3.00058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 divided by 112.\nAnswer: 37\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15812*41.3\nAnswer: -653035.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -905, 0.2, 1.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2155744.00001 - -2155754. Let l = t + -10. Round l to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2778 or -3337?\nAnswer: -2778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 93*20\/36 + (-4)\/6. Suppose -a - g = 2*n - 396, -3*a + 1010 = n. What is the third derivative of -a*s**3 + 341*s**3 + 0*s**2 + s**2 wrt s?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*i**2)*(-1 - 1 + 1) - 31146*i + 11*i**2 + 31146*i - 2*i**2 - 2*i**2 + 5*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45276*k*t + 75*k + 231 with respect to t.\nAnswer: 45276*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222122012001 + -10?\nAnswer: 1222122011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j - 197. Determine t(15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-18))\/(88\/(-198))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 70\/25*(7 + -2)*1. Find the common denominator of c\/(-12) + (-6)\/4 and -16\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 2 + 0 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 - 185. Sort 5, o, -3.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-170)\/(-119))\/((-15)\/(-21)). Which is the second biggest value? (a) 4 (b) 0.003 (c) 1\/15 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2. Let l(x) = -136*x + 8. Give l(j(c)).\nAnswer: 272*c**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (692 + (-10 - -18))*(-2)\/(-1 - 0) is divided by 694.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1434*z - 4024*z + 317003 = 5138*z + 30911 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*-3*(-5)\/15*1. Which is the biggest value? (a) -4\/53 (b) o (c) 0.3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(3 + sqrt(288)*3))**2.\nAnswer: -117045 - 9720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*i**2 - 5 + 5 + 17*i - 15*i.\nAnswer: -68*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - -1 - (-87 + 94)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029677 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151*n*z**4 + 161*n*z**3 - 23458541*n*z + 1822*z**2 + 3*z wrt z.\nAnswer: -1812*n*z**2 + 966*n*z + 3644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 614749017 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 77 = 5*t - 56, -4*s + 2*t = 154. Let m be s\/(69\/(-30) + 2). Calculate the highest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -3?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2439*z + 341*z + 14686 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 13. Let j(h) be the second derivative of -h**4\/12 - 27*h**2\/2 + 33*h. Let y(x) be the first derivative of j(x). Calculate y(z(a)).\nAnswer: -6*a**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 305*g**2 - 2*g + 8. Let o(m) = 103*m**2 + m - 3. Give 8*o(y) + 3*t(y).\nAnswer: -3*y**3 - 91*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - q**2 + 0*q**2 + (11 - 748 + 54)*(4*q - 4*q + q**2) in the form z + y*q**2 + k*q and give y.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021144 to the power of 1\/2, to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242 + 243. Which is the nearest to p? (a) 1 (b) -2\/11 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -13 - (3 + -2 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 3*b**2 - b. Let s(k) = k**3 - k**2 + k. Let z be -1 + (1 - (1 - 2)). Calculate z*w(o) + 3*s(o).\nAnswer: o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*q = -241*q - 86. Put 10, q, -3 in descending order.\nAnswer: 10, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 50. Find the first derivative of -7 - z - 31*c**3 + 3 wrt c.\nAnswer: -93*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 65*f**3\/6 + 5*f**2\/2 - 5*f. List the prime factors of y(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + q**2 + 3*q)*(-8698*q - 8460*q - 105 + 17521*q) as d + i*q**2 + x*q + c*q**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**2 - 9*d**4 - 4*d**2 - 13*d**4 - 4*d + 1 + 24*d**4 - 26*d**3 - 19*d**3 to the form j*d**4 + w*d**3 + p + s*d**2 + g*d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.7 + -20. Let m = p - 0.7. Let q = -0.02 - -3.02. Put 4, m, q in increasing order.\nAnswer: m, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138.28 + -144.28. What is the fourth smallest value in -0.2, -3, d, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-138)\/92)\/(2\/4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/12 - 4*p**3\/3 + 7*p**2 + 8*p - 29. Calculate d(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 8*j**2 + 6*j - 6. Let b be g(-5). Let p = b + 141. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - 15. Let u(t) = 2*t - 4. Let l be (-3)\/(21\/119) + (-15)\/3. Calculate l*u(a) + 6*k(a).\nAnswer: 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*g + 64*g + 36*g + 140*g to the form n*g + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxfxxexj. What is prob of picking 1 f and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 365666115 by 3.\nAnswer: 121888705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14574 is divided by 583.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i**3 - 22*i**2 - 27*i + 213. List the prime factors of y(9).\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2 + 756*s + 142884 = 0.\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 97101 = -5*s + 11982, -2*d + 3*s = -54547. List the prime factors of d.\nAnswer: 2, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38789 is divided by 161.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - i + 1. Let h(u) = 48*u**3 + 6*u**2 + 3*u - 256. Let m(y) = 2*h(y) + 6*t(y). Differentiate m(p) wrt p.\nAnswer: 288*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1454 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2115\/2 + 1023. Let p = -18043117 - -288590685\/16. Let l = p + 6196. What is the common denominator of l and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*d + 1391503 = 162*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.38 and 0.063.\nAnswer: 0.02394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-18)*(-1548)\/(-12). Let m = r - 461\/66. Which is the second smallest value? (a) m (b) -5 (c) 142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2214 + 2214 - 6*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 22*a + 21. Let j be x(-23). Let g(z) = -16*z - 1. Let q be g(j). Suppose q*l = 32*l - 967. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 122423 and 0.4.\nAnswer: 122423.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10313, -13994, -17661, -21308, -24929, -28518, -32069?\nAnswer: -35576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*m. Suppose -4*d - x - 17 = -d, -m*x = 3*d + 27. Is (-7204)\/d*(0 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76898*v = 76955*v - 1140 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -64. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 1471*k - 409*k + 28)*(3*k**3 - k**3 + 2*k**3).\nAnswer: 4248*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111100101000001 (base 2) to base 13.\nAnswer: 34c60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2518 + -2515. Solve 2*y + 4 - 17 = 3*t, w*t + 3 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 1, -24, -0.1, 16 in descending order.\nAnswer: 16, 5\/3, 1, -0.1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 1351400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 0*k + 5*k)*(1 - 3 + 3) - k - k + 4*k - 5*k + 4*k + 2*k + 2*k + 1 - 1 + 2*k - 4*k + 11*k.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8429 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (206\/(-515))\/(6\/(-21)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1230000 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 6. Let z(m) = 17 - 36 + 18 + m. Calculate -2*g(s) - 4*z(s).\nAnswer: 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**3 - 1 + 1)*(-74 - 14 - 81) as b + f*z + i*z**3 + q*z**2 and give i.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -11, -2, -0.1, 1\/3.\nAnswer: -11, -2, -0.1, 1\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*k - 46*k + 105*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13048 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -5*n - 4*a - 7, 9*n - 19*n - 90 = 134*a - 135*a for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15770, -15781, -15800, -15827, -15862, -15905?\n\"Answer: -4*i**2 + i - 15767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7726 and 294.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 22 + 47 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1141, 4285, 9527, 16867, 26305?\n\"Answer: 1049*w**2 - 3*w + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*(-2620)\/(-8))\/(-2 - -23740). Let r = d - -1\/572. Let u be ((-2)\/3)\/(12\/18). Is r > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 550207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5371 - -5352. Which is greater: -2\/11 or a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 327585287 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219413 is divided by 109533.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -126*j + 1 - 1 + 0 - 3. Is 28 a factor of a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7739433127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t**2 - 1723*t - 2476. What is b(-190)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x + 8. Let t(l) = 6*l - 6. Let j(o) = 3*i(o) + 4*t(o). Let f(d) = 119*d**2 + 4*d - 202*d**2 - 4*d. Determine f(j(c)).\nAnswer: -747*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75772130\/1038277 - (-2)\/94.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -58, -214, -528, -1054, -1846, -2958, -4444?\nAnswer: -6358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00825 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1312036 (base 8) to base 9\nAnswer: -616450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 830 = 2*m + 2*m, 0 = -3*p - 5*m + 1241. Let u(n) = -n**2 + 47*n + 26. Let v be u(18). Suppose 5*q - v = p. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/12*8\/(-6)*13. Calculate the greatest common divisor of 4 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**2\/2 - 10*h - 1. Let o(m) be the third derivative of 2*m**4\/3 + 55*m**3\/6 - 31*m**2 - 2. Let i be o(-4). What is c(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 1114548696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132 + 22041?\nAnswer: 21606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-11)\/22*6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.7957104 or 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297.062548549 + 312.\nAnswer: 14.937451451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 515420197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6*t. What is the units digit of 15 + t*2\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 177408 and -0.07.\nAnswer: 177407.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 1. Let s(n) = -8*n**2 - 45*n - 47. Let o(g) = 65*g**2 + 360*g + 375. Let f(p) = 3*o(p) + 25*s(p). Let w(v) = f(v) - 5*h(v). Factor w(t).\nAnswer: -5*(t + 1)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -14\/103 (b) -0.2 (c) -17\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 100289133002 and 0.3.\nAnswer: 100289133002.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 144\/54*(-2)\/((-16)\/(-1410)). Let x be 1\/(r\/280 - (-6)\/14). What is the third smallest value in -5, x, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270725137 to the power of 1\/2, to the nearest integer?\nAnswer: 16454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-3))\/1 + -2300. Let w = f - -1022. Calculate the common denominator of w\/(-168) - (-2)\/(-8) and -63\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537*d = -1557*d + 400 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320808 by -6.\nAnswer: 53468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/11 + 145\/22. Which is greater: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 0*x**4 + 0*x**2 + 4\/5*x**5 - 21 - 4\/3*x**3 + 0*x. Determine o, given that r(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 7*h + 108 + 163 = 0, 2*h = 8*c + 70 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20707965 and 5640.\nAnswer: 165663720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1555 at least -1554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5004 - 4996. Let b(q) be the first derivative of -4\/5*q**5 - 36 + 0*q + 0*q**3 + 0*q**2 - u*q**4. Suppose b(l) = 0. What is l?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 - 350 = -3*h - 731 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o**2 + 5*o + 3. Let d(s) = 11*s**2 - 4*s - 2. Calculate -3*d(a) - 2*j(a).\nAnswer: -11*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1087250 and -0.2.\nAnswer: 217450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 551 - 943. Find the common denominator of 2\/31 and (-6)\/(-3) + z\/(-80).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30895 is divided by 84.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 33 + 74 - 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153049\/10 - 15321. Let p = 82\/5 + w. Suppose 3*s = -v + 2, -3*s = 2*v - 0 - 7. What is the second biggest value in s, p, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*n + 299*n - 68*n - 118*n + 2*n**2 = 0. What is n?\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.145 - 160.855. Let n = i - -161.2. What is the nearest to 2 in 2\/5, -1\/13, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10309709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**3 - 5505*o**2 - 49090*o + 54600 = 0.\nAnswer: -1092, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4199 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4 - 2537987*c**3 - 1213*c**2 + 983*c wrt c.\nAnswer: -24*c - 15227922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 782 = 5764. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/29 (b) 2519 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, r: 5, q: 2}. Give prob of sequence drrr.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 4, k: 5, x: 1}. What is prob of sequence xii?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (650\/13 - -4)*453\/2. Calculate the highest common factor of 108 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {o: 8, a: 4, b: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 6*g**2 + 4*g - 10. Let b be h(6). Is 14 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2\/6 + 256*b\/3 + 870 = 0.\nAnswer: -10, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-2*-2 - (sqrt(85) + -4*2*sqrt(85) - sqrt(85)))\/(sqrt(35)\/(sqrt(7) + 4*sqrt(28)\/sqrt(4))).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -b - 2 - 1, -b - 4 = 2*s. Let l be (1 + -2000001)\/(1\/b). What is l rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18938 is divided by 3150.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 2*l**2 - 5*l - 2. Let m be x(4). Let y be 3*1\/2 - m\/(-20). Let i(d) = d**2 + 10*d - 23. Let h be i(-12). Solve -y*w - 3 = h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 2 + (2 - 6 + 2)*(-5 + 4 + 2) - 2 + 2 - 1)*(v - 3 + 3) in the form g + o*v and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*v + 140*v = 8. Which is smaller: 1\/2 or v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from kjeuk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 + i**2 + i + 13. Is q(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10215863.\nAnswer: 7, 19, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 11123\nAnswer: 11122.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 - 4064*j**2 + 2011*j**2 + 64*j**3 + j**4 + 4 + 33*j**3 wrt j.\nAnswer: 24*j + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 64.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/29))**(-26\/3)\/((t**26*t*t)\/(t\/(t**25*t))) assuming t is positive.\nAnswer: t**(-4663\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from jwtfqjwoffjfowf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1052 + 1799. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 2\/5, -1\/2, 5967, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from uuununnuuzzl?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85816?\nAnswer: 2, 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*b = 2162, 6*b - 7*b = -5*x + 5382. Calculate the remainder when x is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990 is divided by 225.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 4.2654 and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.179235 - 4.820765. Let i = 0.5 + -0.3. Let n = i + -0.7. Which is the smallest value? (a) f (b) n (c) 0 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -34 (c) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*o = -2*c - 11, -4*c + 4*o = 104. Let j = c - -45. Let l = j + 90. Calculate the greatest common factor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -608894*g**2 - 3985444*g + 288 = 0.\nAnswer: -72\/11, 2\/27677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s. Let x(b) = -b - 1. Let p(u) = 12*u + 8. Let k(n) = p(n) + 8*x(n). Calculate m(k(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4614977\/645 + 7155. Let h = 389\/645 + q. Which is the second biggest value? (a) 2\/7 (b) -0.06 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 45. Let x(p) = 2*p + 2. Let b be x(3). Suppose v = -v + b. Solve 4*d + 2*f = 8, -2*d + 20 = -z*f - v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 less than 752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzozawzzz. What is prob of sequence za?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2011*c**3*m**2 - 443*c**3 - 2*c*m**2*s + 3*c*s - m*s wrt m?\nAnswer: 4022*c**3 - 4*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 10*b + 2. Let c be q(-9). Let y = c + -8. Solve f = y + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus -1032.4?\nAnswer: -1041.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 13*s + 2*u - 4, -2*u = -3*s + 8. What is the closest to s in -4\/5, -2\/29, -5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)\/v*((v*v**12)\/v)\/v)\/(v**(-2\/7)*v*v*v\/(v*(v*(v\/v**9)\/v*v*v)\/v)) assuming v is positive.\nAnswer: v**(38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l**5 + 1085*l**4 + 28225*l**3 - 235025*l**2 + 442215*l - 51660 = 0. What is l?\nAnswer: -21, 1\/8, 3, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045460658 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8491115159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -9*r**2\/2 - 18. Let a(l) = 4*l**2. Calculate v(a(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 270 - 4*u + 256 - 526. Let a(y) = 0 + 16*y**2 + 0. Determine a(c(k)).\nAnswer: 256*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/12*-3*12\/(-945).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28809 + 18996. Let k = m - -156957\/16. Find the common denominator of k and 95\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23447 - -23446. Which is the fourth smallest value? (a) 8 (b) 6 (c) -3 (d) o (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1. Let f(x) = -2*x + 4. Let o(c) = -f(c) + 4*g(c). Let q = -25 + 27. Let d(p) = 6*p**2 - 9*p**q - 3*p**2. Determine o(d(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*c - 40. Let h = 669\/27979 + -2\/571. Let u = h + -54\/245. What is the nearest to u in 3, c, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3124 and 997976?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16529 = -5*y + 4*b - 8*b, 3*y - 9920 = -5*b. Suppose -5*q - 2009 - y = -2*i, -5*q = -3*i + 7971. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 30. Suppose 4*u = 2*u - z. Let v = 24 + u. Calculate the remainder when 26 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((255\/34)\/5)\/(6\/(-32))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -342421 + 345160471\/1008. Calculate the common denominator of j and -11\/756.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30796, -61585, -92374, -123163, -153952?\nAnswer: -184741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from sgapy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600824 is divided by 278?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 362 = 410. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -975623, -3902504, -8780639, -15610028?\n\"Answer: -975627*f**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b*b**(-9\/8))*b**(4\/27)*(b\/((b*b*b**(-4))\/b))**20 assuming b is positive.\nAnswer: b**(17771\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -98*r**2\/5 + 33482*r\/5 - 33384\/5 = 0.\nAnswer: 1, 16692\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*y + 57, -4*a + 3*y + 10 = -3*a. Let x = a + -15. Let v(o) = 3 - 4 + o + 3*o**2 + o. What is v(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236866406 divided by -6966659?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.106? (a) -4 (b) -137 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -2*a + 5*d, -a - 5798*d + 5801*d = -27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 8*w - 6*w + 12, -21 = -2*r + 5*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y**3 + 3*y. Let v(w) = -28*w**3 - 8*w. Let s(p) = -11*u(p) - 4*v(p). Let i be ((-76)\/8)\/((-4)\/(-56)). Let n be (-4)\/14*i\/38. Give s(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*u**2 + 549*u**2 - 204*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*x - 25*x - 3*x**2 + 64*x + 180*x.\nAnswer: -3*x**2 + 183*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -1\/6*f**3 + 19\/24*f**4 + 0*f + 32*f**2 + 0. List the prime factors of s(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epwdpwxpee. Give prob of picking 1 w and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -2 + 1 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 35*o - 87. Let h be b(48). Suppose 35 = 544*k - h*k. Solve -3*z + k*d = -16, -2*z + d = z + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -596?\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -45. Let w be 1323\/98 + h\/(-2) + 0. Let p(j) = 0 - 1 + 1 + w*j + 2. Let k(a) = -2*a. Give k(p(z)).\nAnswer: -28*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.2 in 1, -4\/3, -58?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4333\/9 - 481. Let i(n) be the first derivative of 0*n**2 + 7 + p*n**3 + 0*n. Factor i(x).\nAnswer: 4*x**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5278234.\nAnswer: 2, 13, 89, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/12)*s\/((s**(1\/2)\/s)\/s*s))**(6\/13) assuming s is positive.\nAnswer: s**(17\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324 divided by -18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1047 - (-4)\/28*0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37 (b) -1\/7 (c) 1 (d) -1\/3 (e) 20 (f) -194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (38 + -18 - 8) + (0 - 23) - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2463 + 2460. Which is the third smallest value? (a) 26 (b) 1 (c) 0.29 (d) z (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**4\/66 - 8*g**3\/33 - 7*g**2\/11 + 20*g. Find u such that k(u) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -8523302?\nAnswer: 1\/8523302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1210 (base 10) to base 12\nAnswer: 84a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6 + 21*h**3 - 8*h**3 - 12 wrt h.\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201001211220020 (base 3) to base 4\nAnswer: -212222003322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 2*f + 3. Let r be m(0). Suppose -2*d = -r*x + 319, 2*d = x - 45 - 64. What are the prime factors of x?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/4 + 69493*p\/2 - 208488 = 0. Calculate p.\nAnswer: -138992, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4142)\/218 - (15 - 5445\/162)?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 977625943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2849950 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 + 1758*j**2 + 22848*j - 672672 = 0.\nAnswer: -572, -28, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 1:03 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**3 - y**4 - y**3)*(-85 + 66 + 59) to r*y**2 + b + l*y + p*y**3 + g*y**4 and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.088 - 0.012. What is the third biggest value in -2\/11, 0.4, -1\/6, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8*r\/(r*r\/(r**(-1\/11)*r)*r*r))\/(r**(3\/7))**(7\/8) assuming r is positive.\nAnswer: r**(487\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f\/((f**(4\/3)\/f*f)\/f))\/((f**(-2\/7)*f)\/(((f\/f**(3\/8))\/f)\/f*f*f)) assuming f is positive.\nAnswer: f**(-1415\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 645 - 14016?\nAnswer: -13041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1734 divided by -518547.\nAnswer: -578\/172849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 + 20*v + 72. Let o be j(9). Solve -279 = -o*h - 207 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1098*p - 746*p + 402*p + (-6 + 2 + 3)*(-4 + 4 + p).\nAnswer: -1443*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7912 - -113495657\nAnswer: 113487745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q + 0*q + 4*q. Let z(w) = w - 1. Let f be z(3). Let h(i) = -4*i + 7*i + i**f - 3*i. Determine h(b(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 5*t + 2*t. Let a(u) = 4*u. Calculate a(n(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1)*112\/(-12). Calculate the greatest common divisor of r and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2)\/(-3 - -2). Is 1\/20 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 4*b**3\/3 + 2. Let g(n) = 3*n. Determine f(g(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -726, -1455, -2184, -2913, -3642, -4371?\n\"Answer: -729*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-1 - (0 - 0)) - (1133 - 1151)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -609059, -1218130, -1827201, -2436272, -3045343?\n\"Answer: -609071*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*l - 10088 = -10*l. Solve -31 = -32*d + l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + 2*u**3 + 2*u**3)*(-2*u + 2*u + 2*u) - 2*u**4 + u**2 - u**2 - u**4 - 2*u + 2*u - 123 - 9*u**2 + 3*u**4 + 123.\nAnswer: -2*u**4 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 22\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-10\/11)*l**(-5\/3)\/(l**(-2\/9)\/l))**(-3\/34) assuming l is positive.\nAnswer: l**(67\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l + 5. Let v(z) be the first derivative of -z**3\/2 + z**2 + 13*z - 1. Let i(c) be the first derivative of v(c). What is 7*i(p) - 3*t(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/184 and 53\/69.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**5 - 485*g**4 - 3117*g**3 - 2579*g**2 + 8664*g - 2480 = 0.\nAnswer: -155, -4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**2 + 340*s**5 + 5 + 329*s**5 + 2*s**6 - 679*s**5 wrt s?\nAnswer: 240*s**3 - 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29, 171, 423, 785, 1257, 1839?\n\"Answer: 55*g**2 - 23*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1712722 + -18825632\/11. Let f = j + -1287713\/990. Find the common denominator of f and -77\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 702\/12*60\/18. Let s be ((-45)\/o)\/(0 + -1). Which is the second biggest value? (a) -2\/5 (b) 4 (c) 5\/4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -169be9?\nAnswer: -169beb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 68*r + 340. Calculate q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/180 - d**5\/30 - d**4\/12 + d**3\/3 + 2*d**2. Let a(v) be the first derivative of r(v). Factor a(w).\nAnswer: -2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 11*k - 2. Let y(h) = -4 - 5 - 15*h + 248*h**2 + 2 + 48*h - 244*h**2. Calculate -7*l(g) + 2*y(g).\nAnswer: g**2 - 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80459*j = 80441*j + 414 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, j: 4}. What is prob of picking 1 f and 2 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-130)*8\/(-32)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.298 and -0.56813.\nAnswer: -0.86613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a day in minutes?\nAnswer: 18432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-5))\/((-9)\/(-300)). Suppose 0*j = -j + y. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Suppose -42 = -6*d + 78. Suppose 9*w = p*w + d. What is the least common multiple of 9 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10979 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -12 (b) 2\/15 (c) 13921 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6246517128.\nAnswer: 2, 3, 17, 15310091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/11 (b) -0.3 (c) 2 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 514 by -11.\nAnswer: -514\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435.8708um to millimeters.\nAnswer: 0.4358708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 8*v + 735. Round v to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 2\/3*w**3 - 1\/4*w**4 - 3*w + 2*w**2 + 0. Find x such that s(x) = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 20115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 37 = -198*w + 201*w, -6*q - 39 = w for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8 - 408079\/582*(-9)\/84.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 578 + 17?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2bb - -1d5a?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2 - 72*o + 280576 = 0. Calculate o.\nAnswer: -274, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llgl when four letters picked without replacement from {f: 1, m: 1, v: 5, c: 1, l: 7, g: 4}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 15. Let s be p(12). Suppose 0 = 18*y - s - 27. Calculate the greatest common divisor of y and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-4)\/(-2))\/2. Suppose z + 3*z = y. Solve 0*k + 4*k = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 0. Let n be (-149)\/(-6) + 3\/18. Solve -2*a - h*a = -n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1032.9, 10.37, 4?\nAnswer: 10.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-16))\/7*(-4)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -119 or 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5489 is divided by 151?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 107290125 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -4 + 6 - -2. Solve 2*g = 5*d - 10, -n*d + 2*d + 6 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + 11 - 0 - 3. Let w(y) = y + 2. Let p(z) = -1. Let k(l) = 6*p(l) + w(l). Let f(s) = 1. Determine i*k(g) - 5*f(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -130 + b?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -6*m + 90. Let y = m - -134. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13577 and -0.83799601.\nAnswer: 13576.16200399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + o - 1. Let b(z) = -5*z**2 - 4*z + 4. Let k(w) = -b(w) - 4*h(w). Let p(f) = -4*f. Determine k(p(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 16)\/(12 + -11). Suppose 20*x - 7063 = z*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**10\/d**(9\/5))\/(d**(1\/7)\/(d\/(d**(-10)*d))))**(-2\/69) assuming d is positive.\nAnswer: d**(-1264\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.58 in 0.1, -1, 1622?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 e when four letters picked without replacement from eeaieeirlrei?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12713\/12 - 4333\/4. Suppose 0 = 3*k - k - 6. What is the common denominator of r and (-27)\/10 + (-12)\/k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**3 + g**2 - 41*g + 1. What is the remainder when w(-6) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.029 in 5, -0.2, -91, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4197498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/107 + 241\/963. Let o = 0.11 - 0.61. Let u = o - 0. Is u at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 748 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 238 - 237.95. What is the closest to 0.1 in 0.7, 4\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 834, 2\/3, -4, 7.6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j - 9*j**4 + 4*j + 3*j + 17 - 49 + 3*j**2 + 24*j**4 wrt j?\nAnswer: 180*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 0 + 0 + (2*l**5 + 0*l**5 - l**5)*(-4 - 2 + 5) - 15*l**5 + 8*l**5 - 2*l**5 + (-l**2 - l**3 + l**2)*(-3*l**2 + 0*l**2 + l**2) + 3*l**5 + 3 - 3.\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 259479309*z**2 - 181785136*z wrt z.\nAnswer: 518958618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 183647 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/11 (c) -0.1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.798, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/33220 and -11\/6040.\nAnswer: 66440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7)*(256 + 5*l - 256 + (-2 + 2 + 2)*(1 - 1 + 2*l)).\nAnswer: 63*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**3 - 11*s**2 - 48*s + 55. Determine c(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757091.\nAnswer: 23, 32917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72505 and 1056890?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/44493 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 3. Let d(i) = -2*i**2 + 4. Let q be 3 - 7 - (419 - 12\/(-4)). Let v = q + 430. Calculate v*d(n) + 5*h(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n - 854337 = 18*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3 = 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - j = 14, 5*j = -s - 22 + 7. Let h be (-4)\/((-2)\/1 - 0). Suppose -3*p + 19 - 1 = 3*z, 3*z + h = 2*p. Solve -p*g + 3*g = -s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 65*a - 2. Let x(v) = 3381*v - 105. Let z(f) = 105*t(f) - 2*x(f). Let b(c) = 41 - 3*c + 3*c + 2*c - 41. Calculate z(b(l)).\nAnswer: 126*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l + 42*l - 546 = 522 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6196 (base 11) in base 8?\nAnswer: -20024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose 7*n = 3*n + 100. Suppose q - n + 0 = f. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143\/160 + 35\/32. Which is bigger: -1267 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/6 (b) 0.08 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 13*l - 210 = 0. Let u(a) = a**2 + 2*a - 4. Let w be u(3). Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -7, -8953, 10, 5 in descending order.\nAnswer: 10, 5, -1\/5, -7, -8953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-64)*(-12)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 1992232.\nAnswer: 3984464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 1398\/108 + (-24)\/(-432)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 11.0412. What is f rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcccuuu. What is prob of picking 1 u, 1 p, and 2 c?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 - 7*w**3 + 0*w**5 + 518*w**2 + 281*w**2 + 10*w**5 wrt w?\nAnswer: 480*w**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -5*j**2 + 126. Let v(z) = -5*z - 6. Let y(k) = -4*k - 5. Let g(p) = -5*v(p) + 6*y(p). Calculate -5*g(n) - t(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 15) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959d28 (base 15) to base 5.\nAnswer: 3310331323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 4*k + 4)*(13*k**2 + 0 + 0).\nAnswer: 26*k**3 + 52*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 154 - -24?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4.79 * 4\nAnswer: 19.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 7. Let k(x) = x**3 + 5*x**2 - x - 1. Let o be k(-5). Suppose 43 + 21 = -o*v. Let p be ((-15)\/(-20))\/(2\/v). Calculate a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6 - 28*l - 1 + 86*l. Let q be i(4). Let x = q + -142. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (109\/((-26814)\/(-328)))\/(5\/3 + 0)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -166*g - 59. Calculate z(1).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + -41. Let i = t - 1. Let v(k) = -153*k**2 - 54*k + 54. Let d(u) = 14*u**2 + 5*u - 5. Let m(q) = i*d(q) - 5*v(q). Let r(w) = 2*w. Calculate r(m(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1008) + sqrt(63))**2 - sqrt(70)\/(sqrt(10)*2))*1.\nAnswer: -sqrt(7)\/2 + 1571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*b - 32, 12*j - b = 8*j - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*y - 3*y. Solve 1 + y = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/212 and -62\/9?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 1720 = 2*p - 15*h, 0 = -p + 3*h - 865. Let f be (-12)\/(2 + 0) + p\/(-150). Which is the third biggest value? (a) -3 (b) f (c) 1.1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1661 or -200447?\nAnswer: -200447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/sqrt(72))\/(sqrt(9) + 1*sqrt(900) + sqrt(9)).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 316\/815 - -2\/163. Let v = -21.9 - -26.9. Which is the fourth biggest value? (a) 2\/7 (b) 2 (c) j (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, 31, 4, 1.\nAnswer: -12, -5, 1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9618 - 77318\nAnswer: -67700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11933 is divided by 803?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 17 = 3*u, 5*u + 54 - 39 = 2*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 243 - 109. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*(-2)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -25. Let a = -17.4 + m. Let l = a - 1.6000018. Round l to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and 856648?\nAnswer: 35122568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (3 - 2))*0\/5. Let x be -2 - (-3 + u)*1. What is the units digit of (44\/x - 1) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/1056429 and -28\/96039.\nAnswer: 1056429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + 5*k + 7. Let r be p(8). Let s = 468 + r. Let q = s + -123. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 44*r - 1694.\nAnswer: -2*(r + 77)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 44. Suppose -24*g + 27*g = r. Solve -5*s - 30 = -3*k - 0, 0 = k + 4*s + g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325\/(-78)*(-20)\/(-50).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 210454 (base 6) in base 13?\nAnswer: 7999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 1 (c) -17 (d) -1.5 (e) 43577 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.07 - 14. Let a = l + 0.03. What is the smallest value in a, 1, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**2 + 101*r - 4. Let i(c) = 17*c**2 + 200*c - 9. Let v(l) = -4*i(l) + 9*p(l). What is the second derivative of v(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 10 = 5*s + g, 0 = -4*s + g + 13. Find the first derivative of s*a + 4*a - 16 - 7*a - 4*a wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 2*q**2 - 4*q + 3. Let v be m(3). Suppose v*t = -4*t + 3*d + 197, -68 = -t - 3*d. Let y = t + -38. Solve j = 4*j - y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.33, 0.4, -33, -4, -2 in descending order.\nAnswer: 0.4, -0.33, -2, -4, -10, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 152634*y + 1221189. Give g(-8).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/(k*k**(-5)))\/k)*k*k**1*k**(2\/5)*k*k**(-2) assuming k is positive.\nAnswer: k**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 7*f - 6. Let q be h(5). Suppose 2*p = 18 - q. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/13)*w*w**(1\/3))\/((w\/(w\/(w\/(w\/((w*w**(3\/8)*w)\/w)))))\/w*w**(-2\/3)) assuming w is positive.\nAnswer: w**(153\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242133 (base 5) to base 4.\nAnswer: -2031103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*u**2 + 201*u**2 - 97*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 39*s**3 + 42*s**3 + 9*s + 7*s.\nAnswer: 81*s**3 + 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 105, -1, 4, -2\/3, 154.942?\nAnswer: 154.942","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w**3 - 4*w**2 + 9*w + 1. Let d(q) = -6*q**3 + 2*q**2 - 4*q - 1. What is -9*d(g) - 4*n(g)?\nAnswer: 2*g**3 - 2*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27768*g = 27764*g + 6*u + 304, -204 = -0*g - 2*g + 4*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -179 in 0.04, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 461 = 2*s, -762 = -5*m + 3*s. Let c be (m\/(-3) + 1)*-1. What are the prime factors of 6\/(-18) + c\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 23 = 4*f + 112, -3*f + 65 = 2*i. Suppose -v = -z + 2*z - i, -15 = -v + 3*z. What is the greatest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 4 + n**2 + 0 + 1 - 10*n.\nAnswer: 5*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1924, 1926, 1928?\n\"Answer: 2*c + 1922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -412*g + 177 + 33*g - 59*g - 365*g + 207 wrt g.\nAnswer: -803","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0148405 rounded to four dps?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 669348527 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*0*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5 - 2*z + z**2 + 5 + 1. Suppose -3*l = 5*i + 7 - 26, 2*l = -4. List the prime factors of g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 20*o**2 + 195*o + 260. Determine h(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 2 = -4*f - 5*y, -3*f = -4*y - 1. Let i(a) = 5 - f*a**3 + a**2 - 3*a**2 + 4*a**2 - a - 1. Let m(w) = -w**3 + w**2 + 1. Determine i(v) - 4*m(v).\nAnswer: v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -2.4. Let l = 4 + a. Put 0.3, -4, l in descending order.\nAnswer: l, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4221 - 0.3721. What is the second biggest value in -0.3, -5, 1, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + sqrt(891) + 0 - sqrt(891)) + 5 + sqrt(891) + sqrt(891))**2.\nAnswer: 270*sqrt(11) + 8044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5201577 and 87270903?\nAnswer: 785438127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(1\/(2\/4)). Let x = 1 + -1. Put x, q, -3 in ascending order.\nAnswer: q, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 535.06 + -535. Let c = y - -76.34. Round c to 0 dps.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6207341613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v - 20. List the prime factors of x(12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 10:22 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 = -8*x + 4*x + 4*a, 0 = 5*x + 4*a - 562. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/4)\/(312\/1976).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-2 + 1 + 1). Suppose 129 = c*i + 44. Is 12 a factor of (1 + -2 + i)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1 - -9) + (28 - 36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 0) + (-15 - 24) + 55 + (-50 - -1)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 1145*z**2 - 67235*z - 191535.\nAnswer: -5*(z + 3)*(z + 113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*g**3*v**3 + 3*g**3*v**2*x - 12*g*v**3*x - g*v + 14*v*x wrt g.\nAnswer: 216*g*v**3 + 18*g*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48 + 1 + 2 + -2. Suppose v + 71 = 30*u. Calculate the highest common factor of 116 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -28. Is (14\/y - -4) + 35 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10927 - -11279. Calculate the smallest common multiple of 192 and v.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = r - 205, -m = 3*r + m - 565. Calculate the remainder when r is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/12 (b) 5 (c) -3 (d) -147 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 minus 71.34?\nAnswer: 34.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 28*j**2 - 24*j**2 - j**3 + 38*j**2 + (8*j + 28*j + j)*(3*j - 3*j - j**2).\nAnswer: -38*j**3 + 42*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 + 0 = 0. Let h(c) = 11*c**2 - c - 2. Let j be h(n). Suppose -3*v + 6*v - j = s, -4*v + 8 = -4*s. Solve 0*y + v = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-27)\/(y*y*(((y*y\/(y*y\/y**22))\/y*y)\/y)\/y) assuming y is positive.\nAnswer: y**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332355.15 - 332501.14537. Let f = p + 146. What is f rounded to 4 decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8064104 and -3.\nAnswer: 24192312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111106027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9604079.\nAnswer: 31, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:49 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24845 - -3.\nAnswer: 24848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 23 = -3*u, -2 = 4*b - u - 5. Let s(z) = -4 - 4*z + 0*z**b - z**2 - 7*z + 2*z. Calculate the remainder when 28 is divided by s(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 5}. What is prob of picking 1 t and 1 q?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 936 and 3510.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**3 + 12*m**3 + 5*m**3 - 24*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 3:14 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 507478 and 37.\nAnswer: 18776686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:49 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = s + 19, 3 = -s + 6. Let l be r\/3 - (1 + 1). Let b = 113082 + -113086. Sort -2\/15, l, b.\nAnswer: b, -2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, h: 2}. What is prob of sequence hsh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 648 divide 5676534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11774869, -23549736, -35324601, -47099464, -58874325, -70649184?\n\"Answer: z**2 - 11774870*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - f + 0*f)*(-1 + 0 - 1 + (-3 - 1 + 0)*(0 - 2 + 0))*(3 - 2 - 4) to u + y*f and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4288 - 4283. Solve 0 = -5*l + 4*a - 6*a - 17, u*l = 3*a - 37 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*g**2 + 113*g**2 - 42*g**2 + 71*g - 33*g**2 in the form j*g + f*g**2 + h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-2)\/2)\/2. Let c = -0.3 - -0.2. Let g = -2 - -1.8. What is the closest to 1\/3 in v, c, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*j - 12 = 0, -3*u - 42 = -7*u + 2*j. Solve -4 = -l - u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b62 + 4?\nAnswer: -1b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780394329?\nAnswer: 7, 1217, 208991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - p + 778329 - 2*p**4 - 778410 - 2*p**2 to the form v + r*p**2 + k*p**3 + y*p**4 + d*p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u. Let x = 29 + -34. Let q = -2 - x. What are the prime factors of w(q)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**2 + 3*v - 6. What is the units digit of a(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 20 - 79 - 26*t + 0 + 6. What is the hundreds digit of f(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(242)*1 + 3).\nAnswer: -44*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -10100011?\nAnswer: -10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 446 + 2044. What is i rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 36 + 12. Put c, -1, 17 in increasing order.\nAnswer: -1, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 + o. Let b be h(-1). Suppose -m + 1 = -4. Suppose 3*a = 8*a, 20 = 5*w + m*a. Solve w*j - 2 = -b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40430303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 49\/33 - 5\/3. Let d = -1 + -3. Which is the smallest value? (a) f (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - 551248241?\nAnswer: -551248304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = m - 19 - 17, -m - 3*p + 8 = 0. Let v be 43\/2 - 2\/4. Let c = v - 13. Calculate the lowest common multiple of c and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617579?\nAnswer: 3, 191, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27409274?\nAnswer: 2, 1217, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7037?\nAnswer: 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 16 = -24*m. Let n be 2\/(-6) - 44\/(-78). Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*c + 72*c + c**3 + 9*c**3 - 12*c + 12*c + (2*c**3 - c + c)*(2 + 0 - 3).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 16 = -d - x, 5*d + 3*x = 28. Suppose d*a + 17 - 201 = 0. Solve 2*p - f = -3*p + a, p = -f + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p + 0*p)*(-p - 4*p + 3*p) + 3 + p**2 - 3 - 2*p + 2*p + 2*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(85\/(-2340))*(-1576)\/10244.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -8. Let s(h) = 3*h - 3. Let j be s(6). Calculate the greatest common factor of j and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18618 - 7937 + 62919 = 2944*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1821 divided by -127\nAnswer: 1821\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1705\/(-15345)*(-18)\/(-147).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.9 - 22.9. Which is the closest to d? (a) -3\/8 (b) 0.5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622333?\nAnswer: 622333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -52, -1\/6, -0.3, 228\/11, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/63693120 and -51\/16.\nAnswer: 63693120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - 3*n**2 + 2*n - n**2 + (-6*n + 4*n + 4*n)*(n - n - 3*n).\nAnswer: -10*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*y**5 - 3*y**4 + y**2 + 38.\nAnswer: 540*y**2 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r + 15*r**2 - 8*r**2 - 2 - r**3 - 4. Calculate u(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 18*n - 16*n. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:49 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151218880, 302437759, 453656636, 604875511, 756094384?\n\"Answer: -h**2 + 151218882*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 37\/3512?\nAnswer: 37\/3512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54, 49, 48, 57, 82, 129?\n\"Answer: n**3 - 4*n**2 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176))**2*-2 - (0 + sqrt(22)\/sqrt(2))**2.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.3 (b) -2 (c) -2\/9 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 divided by 330?\nAnswer: 111\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139*c - 139*c - 19*c**3)*(-3*c**2 - 1 + 1 + (1 - 1 + c)*(-2*c - c + 4*c)) + 2*c**3 + 4*c**5 + 0*c**3 - 7*c**5.\nAnswer: 35*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9185600 to the nearest integer?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.883 - 1.278. What is n rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*q - 647*q**3 - 727 + 722 + 3*q wrt q.\nAnswer: -3882*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w - 15*w + 5*w. Let p(l) = -189*l. Determine p(c(f)).\nAnswer: 189*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 360 + -348. Solve -32*z - w = -29*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 37 + -38 - 32.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8408533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6752 = 2*k - 23162 - 23638. List the prime factors of k.\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 8, -4\/3, 2, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113445446 - 12*b + 113445446.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3 - 3)*(0 + q + 0) - 337*q + 12*q**2 + 337*q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/12)\/(1584\/42240).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540552 and 540552?\nAnswer: 540552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 824232 and 2709156?\nAnswer: 6756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + (-1158)\/144 + (-12)\/18 and 101\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-42)\/(-28) + 11\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.007 - 0.007. Which is the third biggest value? (a) -0.1 (b) 3\/8 (c) 1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(117) + -2)*-1)**2)*-3.\nAnswer: -363 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p - 1. Let s(x) = x**3 + x**2 + x + 1. What is 4*j(i) + s(i)?\nAnswer: -3*i**3 + i**2 - 3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*z = -2*a - 12, -4*a = -z + 22 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, e: 1, t: 3, v: 3, b: 2}. What is prob of sequence ttb?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 - 16*l**2 + 9*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by 4?\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 440343 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 135113 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126173 (base 8) to base 11.\nAnswer: -301a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eefe when four letters picked without replacement from iifeieiiifeee?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + sqrt(2736))**2 + (-6*(sqrt(152) + sqrt(152) + (2*sqrt(152) + sqrt(152) - sqrt(152))))\/sqrt(8) + 3)*3.\nAnswer: -216*sqrt(19) + 8241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 6) to base 16\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486776?\nAnswer: 2, 71, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 227245890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a + 1\/2*a**2 - 59. Calculate v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.26119 millennia in months?\nAnswer: 39134.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40819?\nAnswer: 40819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*y + 5 = 0, 5*y - 78 + 75 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19261 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from kazzzzozzzozazkzzzz.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 8252*a**2 - 575008*a + 9853744.\nAnswer: 4*(a - 34)**2*(a + 2131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and 90668465710506.\nAnswer: 90668465710506.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9165 + -8940. What is the highest common factor of 144 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 divided by -16?\nAnswer: -101\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2436260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19432 - 4708. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 65, 61, 55, 47, 37, 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221969 is divided by 154.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-558)\/(-18) - 14 - 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 8166, 5, 566?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 54?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283 - 565\/2. Let j = -50 + 30. Put j, 1, -1\/5, o in decreasing order.\nAnswer: 1, o, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 42. Let u(f) = -30*f + 209. Let d(y) = 11*p(y) + 2*u(y). Let x be d(7). Sort -3, 2, -0.3, x.\nAnswer: -3, x, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45768\/21 + 5\/(245\/(-21)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -997666, -1995333, -2993000, -3990667?\n\"Answer: -997667*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 11*n - 8*n - 32121, z = -5*n + 6411. List the prime factors of z.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/273764924 and 89\/4.\nAnswer: 273764924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -637, -1276, -1915?\nAnswer: -2554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tete when four letters picked without replacement from lnjteeglttentnl.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 0*a**2 + 0*a**2 - 7 - a**2 + 7*a. Let p be u(5). What is the first derivative of 7*l**4 - l**4 + 1 - p*l**4 wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) - (-5 + (sqrt(700) - (-4 + sqrt(700))))**2 - sqrt(56)\/(-3*((sqrt(8)*-3 - sqrt(8)) + sqrt(8) + sqrt(8))).\nAnswer: -1 + 59*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 + -86. Calculate the greatest common divisor of r and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17749900 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3567563 * 12.\nAnswer: 42810756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*f - 1 = 0. Let v(o) = -10*o**2 + 5*o - 1. Let c be v(1). Let g(h) = 4*h + 21. Let k be g(c). Put k, -2, 2, f in ascending order.\nAnswer: k, -2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2374050 and 202470.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 761, 773, 793, 821, 857?\n\"Answer: 4*o**2 + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:21 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 32*i + 29. Let w(r) = 19*r - 7. Let f be w(1). Is q(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 2\/5*k**2 + 2\/5*k**5 - 2\/5*k**3 + 0 - 2\/5*k**4.\nAnswer: 2*k**2*(k - 1)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1234 + -1232. What is the third biggest value in -5, -9\/2, 0.3, a?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 19 (b) 3 (c) 0.03 (d) -0.127 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 76*l**3 + 4*l**3 + 3*l**3 - 16*l**3 + 43*l**3.\nAnswer: 112*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 4. Let j be b(-8). Let r(t) = 4*t**2 + 5*t - 4. Let l be r(j). Let c = 12 + -7. Calculate the highest common divisor of l and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/3 <= -2\/31328665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from aabiaeaiboaeoebbaobk.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2021768 and -169\/1596.\nAnswer: 115240776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8166455 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 44. Calculate q(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9836.219 - -9907.9. What is x rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 18279*n - 18281. Give o(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.18, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -35. What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1785)\/170*40\/(-175)*770\/21\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + (9 - 15) + (-4)\/(-1). Solve -5*i - h - 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 1, l: 3, s: 5, k: 2, a: 3}. Give prob of picking 1 v and 2 l.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 12:50 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31419 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*b + 183 - 151, 5*b + 4*n - 18 = 6*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 411261390 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766895.\nAnswer: 5, 153379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (343 - 343 + 1081*b)*(-2*b + 0*b + 3*b + (4 - 3 + 1)*(b - 3*b + 0*b)).\nAnswer: -3243*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f + 7. Calculate t(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 (base 11) in base 6?\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -20, 5*u - 15657 = -34*h - 15783 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 304 = -3*s + 273, 4*s - 5*x = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(8\/1) - -1. Let y(p) = p**3 + p**2 + p + 20. Calculate y(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 9:04 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -8. Suppose -5*x = 2*m + 27, 51*m - 55 = 5*x + 46*m. Let y be 135\/(-36)*2\/5. Which is the biggest value? (a) x (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 6 - 0 - -1396. What is a rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b857 (base 15) to base 6.\nAnswer: 1530544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 19.848 (b) 2\/27 (c) -1 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (152\/38)\/(2\/(-4)*1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4166 + -4222. Let y be (-21)\/(5\/(-2) - -1). List the prime factors of 1538\/y - 8\/o.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-156) + (-15)\/(-36)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319 divided by -1?\nAnswer: -3319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126125\/99 - 1274. Is u greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 (base 9) in base 3?\nAnswer: 2021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m + v - 6868, -5*m - 2*v = -34340. Let r = m - 96193\/14. Let o = 9953\/6 + -1637. Find the common denominator of o and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-10) - (-126)\/35. Suppose q*o + o = -4. Put o, -4\/11, 4 in descending order.\nAnswer: 4, -4\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.01 + -3.1228. Round b to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -981, -1051, -1173, -1353, -1597?\nAnswer: -1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(72)\/sqrt(150)*2)\/((sqrt(6) - sqrt(216)*1) + 2*sqrt(6)*-5)*6)**2.\nAnswer: -128\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 7*h - 1. Suppose 5*o = d + 62, 5*o - 13 - 41 = -3*d. Let r be 10\/(-5) - o\/3. Is a(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 90 = 14*g. Solve 3*l = 16 - g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4566?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 20 = -4*f, 10 + 30 = 4*c + 2*f. Let n = c + 35. Calculate the highest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 m, and 1 i when four letters picked without replacement from {m: 6, n: 2, x: 2, i: 3}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -5*l - 3*v + 29, -333 + 299 = 4*l - 3*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 863 + 139. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - g - 4*k - 24, -k = 5*g + 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from lggpx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (-15504)\/(-665)) + 2\/(-5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j**2 - 14*j**2 + 7*j + 2*j**3)*(-1 + 1 - j) - 3*j**4 - 3*j**4 + 4*j**4.\nAnswer: -4*j**4 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, 2, 1\/8, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4 - 2*h - 4*h**2 + 0 + 5*h**2 - 2. Let j be g(2). Solve -3*r + j = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**3 - 6*s**2 - 6*s + 5. Let f(v) = v**3 - v**2 - v + 1. Give 6*f(b) - z(b).\nAnswer: b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:46 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 2. What is the remainder when k(0) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -19, -1, 3, -5, 1288 in decreasing order.\nAnswer: 1288, 3, -1, -5, -19, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -224, -227, -232, -239, -248, -259, -272?\n\"Answer: -r**2 - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -2\/1259, -2\/41, 0.3, -4, 3?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**5\/20 - q**4\/12 - q**3\/6 - q**2\/2 + 55*q. Let a be (-20)\/(-8) - 2\/(-4). What is the remainder when 27 is divided by o(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13479 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.516603442 to one decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.71 and 0.068.\nAnswer: 0.11628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4849 - 13?\nAnswer: 4836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + sqrt(2))**2 + sqrt(2) + 3 + 4.\nAnswer: 7*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*o**3 - 673*o**3 + 124*o**3 - 2*o**2 + 171*o**3 + 160*o**3 - 41 in the form d*o**3 + q + u*o + f*o**2 and give d.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15126864 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**9)\/(t\/(t\/(t**(2\/7)\/t*t*t)*t)))\/(t\/t**(-1\/6))**(19\/4) assuming t is positive.\nAnswer: t**(701\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106 equal to 3466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*a - 2*a. Let h be ((-17)\/a)\/((-1)\/4). Let m = -10 - h. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176976 is divided by 58960?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694401001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1527 + -1527. Which is bigger: 1\/524 or l?\nAnswer: 1\/524","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -1\/7, -3477, -1\/6, 8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-165)\/(-5) + 2 + -2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1166*g + 371. What are the prime factors of q(-2)?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x - 5 + 43 + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.91 + -43.41. What is the fourth smallest value in 1\/4, g, 2, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -6 + 13 + 12 + -33.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 1:13 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 = -3*w - 10, -h = -w - 15. Calculate the highest common factor of h and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**9\/756 - y**8\/420 + y**7\/210 + y**6\/90 - 5*y**3\/3 - 42. Let q(m) be the third derivative of s(m). Factor q(k).\nAnswer: -4*k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose 0*w - 5*l = -w + 139980, i*w + 5*l = 420020. Round w to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.35466\nAnswer: 0.141864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -20, 1, -3, 22 in decreasing order.\nAnswer: 22, 1, 0, -3, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/((162\/8910)\/(48\/22))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w + 2377. Let t(i) = i - 791. Calculate 3*m(q) + 8*t(q).\nAnswer: -q + 803","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106.24 - -107. Let b = y + 0.32. Let j = b + -1.03. Sort -4, -0.3, -3\/5, j in decreasing order.\nAnswer: j, -0.3, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*a - 208*a - 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1) + (6 - 1272\/28). Let l = f - -37. What is g in -6\/7*g**2 + 2\/7*g**4 + 0 - l*g + 0*g**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-31 + (-512)\/96).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (13 + -18 - -4)) + -2 + 6 - -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26171.01g in kilograms?\nAnswer: 26.17101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.41 - -1.01. Let g = z - -7. Which is smaller: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203302311 (base 4) to base 13\nAnswer: -5196c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.3158?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*m - 8. Suppose -t - 5 = -0, -35 = -d + m*t. Solve -3*c - 2*c = -d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 497 and 81791.\nAnswer: 40650127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 4*c**2 + 2827*c + 69 - 5645*c + 2821*c + 0*c**3 + 5*c**2 in the form i*c**3 + b*c**2 + h + g*c and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 4268.2842?\nAnswer: 4268.2842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -1 + 1 - -1 - (380 - 289 - 150)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = -0*v. Let w = v - 3. Let t(y) = -13*y - 1. What is t(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (3\/(-72) - (-1159884)\/9504).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 857 (base 14) in base 4?\nAnswer: 121231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92176933 is divided by 435.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1.9. Suppose -4*m - 28 = -5*g, -2*g + 0*m - 2 = 5*m. Suppose 0 = -0*x - 4*x - g. What is the closest to b in 2, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*v + 3923 + 289. What is the smallest common multiple of 78 and v?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 192967833*f.\nAnswer: -3*f*(f + 64322611)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/2 (b) 1 (c) -3\/10 (d) 3\/139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from wsswpppspwpsppwwppw?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**3\/2 - 9*c**2\/2 - 2*c + 10. Let x be y(4). Solve i = -3*n - x, 5*i + 2 = n - 13 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235*b**4 + 81*b.\nAnswer: 2820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1312 and 15186728.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.38 and -0.1.\nAnswer: 0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2145 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 9. What is the remainder when (-11)\/((0 - -1)\/(-1)) is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.04 - -19.04. What is the third smallest value in y, -5\/2, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1 + 3 = 5*g - 20, -432*g = -408*g - 48 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-88) + 0 + (-21)\/4. Put w, -2, -3 in increasing order.\nAnswer: w, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 u when four letters picked without replacement from kuktk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3612889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 35*m**2 + 38*m + 68. Let l(a) = -5*a**3 + 106*a**2 - 113*a - 205. Let g(r) = 3*l(r) + 8*o(r). Is g(-31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7419.237 months?\nAnswer: 61.826975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -43*c + 40*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.05 (b) -2\/603 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0216 - 0.3216. Let d be 24\/(-9)*(-6)\/(-4). Which is the closest to 1\/5? (a) 2\/3 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 12*p**2 - 8*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 39*i - 45. Calculate p(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -695 - -830. Calculate the highest common factor of z and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 3)*(-3)\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - (-315)\/(-14). Let m = c + 15. What is the units digit of -2 + (-1146)\/m + 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.8 - 0.2. Let o = 10.00034 + t. Round o to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0.3. Put t, 0.1, -0.2 in descending order.\nAnswer: 0.1, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1473c (base 15) in base 12?\nAnswer: -32079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 14*f**4 + 1 + 19*f**4 - 34*f**4 as v*f**4 + y*f + l + o*f**3 + x*f**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1 - (-1 - -1)). What are the prime factors of r\/(3 + 20\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 - 5. Let x = 84468 + -84488. What is the smallest value in x, -7\/5, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 9050*q**2 - 18094*q + 9046.\nAnswer: -2*(q - 4523)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - -2. Let d(p) = 39*p - 1 - j*p - p**2 - 15*p. Let i(v) = -16*v**2 - 14*v - 9. Let g(b) = -44*d(b) + 4*i(b). Find w such that g(w) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 1 + 6 - 2. Suppose -n*u + 27 = 17. What is the smallest common multiple of u and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1887, 2382, 2877, 3372?\nAnswer: 3867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffxfnnf. What is prob of sequence nnf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26006563 to the nearest integer?\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + 8.01. Let z = -7.7 + q. Let o = z - 0.2. What is the smallest value in 1, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/4 - 31*r**3\/3 + 35*r**2\/2 + 2*r - 95. Is s(31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 71 = 169. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 10*a = 5*z - 1635, z = 2*a + 327. Let t be -2 - (-13)\/(39\/18). Suppose -5*q + t*b + 519 = 2*b, 3*q - z = -4*b. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/7 + 7071964*g**2\/7 + 141438680*g\/7 + 707192400\/7 = 0.\nAnswer: -3535962, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9581244 and -109\/1849012?\nAnswer: 105393684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 2356*d**3 - 460980*d**2 - 29650076*d + 61162984.\nAnswer: -4*(d - 2)*(d + 197)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 82719496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6580 and 971420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*p - 25*o + 26*o, 0 = 2*p - 4*o - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3058*d**3 + 3056*d**3 + 30053 + 7*d**2 - 27134)*(-d + 2*d - 3*d).\nAnswer: 4*d**4 - 14*d**3 - 5838*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4. Let t(l) = -6*l - 8. Let f(b) = 4*b - 1 - 2*b - 4*b - 2. Let r(m) = -8*f(m) + 3*t(m). Calculate r(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 76800*z**2 + 76508*z - 5529312.\nAnswer: 4*(z - 8)*(z + 9)*(z + 19199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m**3 - 66*m**2 - 11*m - 7459 wrt m.\nAnswer: 9*m**2 - 132*m - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -756.62821 to the nearest integer.\nAnswer: -757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 8:36 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, v: 8}. What is prob of picking 3 v?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3556136*y - 3556136*y + 261*y**2 + 2*y**3.\nAnswer: 2*y**3 + 261*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1262009 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 2*z + 102*z. Which is greater: z or 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 1881\/66)\/((-2)\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z*z**(6\/5))\/z))**2 assuming z is positive.\nAnswer: z**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 23*h**2 + 44*h - 34. Give i(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 26*c - 196. Let o be x(-38). What is the highest common factor of o and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -4, -0.4, -39.4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**3 - 2*u**2 + 2*u - 1. Let p(x) = x**3 - 4*x**2 - x + 5. Let n be p(4). Determine r(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.432 - -1.25. Let c = 9.918 - h. Round c to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, -0.22, 22, 1\/7659, 2\/7 in decreasing order.\nAnswer: 22, 3, 2\/7, 0.1, 1\/7659, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j*j\/(j**(2\/15)*j*j))\/j*j*j*j*j*j)))**38*j**(1\/37)\/j*j**43\/j assuming j is positive.\nAnswer: j**(104318\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10239510 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: Let n be (1\/3)\/(11\/(-33)). Let b(v) be the second derivative of -11*v**5\/20 + v**3\/3 + v**2\/2 + v. Is b(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1139737 divided by 1\nAnswer: -1139737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h - 27339 = 272*h + 358*h for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21161 (base 7) to base 16\nAnswer: -1475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 1 + sqrt(208) + sqrt(208) + 3 + (-1*(sqrt(208) - (sqrt(208) + 0)) - sqrt(208)) + 1 + sqrt(208) + -5 + 0 + sqrt(208) + 2 + -5 + 4)*-6)**2.\nAnswer: 1152*sqrt(13) + 119844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1703896 = -284724. Let w = 1657916 - o. Let u = 303606 - w. Round u to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - k + 2 + 0*k - 4*k + 6*k + (1 - 1 + 1)*(0 + 2*k + 0) + 2*k - 4*k + 4*k - 2 - 2*k + 2)*(153*k + 19*k**2 - 154*k - 3*k**2).\nAnswer: 48*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*r, 3*r - 6*r - 1 = b. Let t be (-5 + -1)*b*(-4)\/16. Solve 0*d - 2 = t*s + 4*d, 2*d = 5*s + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 193*a**2 + 5040*a + 549. Determine x(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oap when three letters picked without replacement from {g: 3, b: 3, a: 1, q: 2, o: 9, p: 1}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.0000002 + 4. Round p to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601578.\nAnswer: 2, 3, 19, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f - 3960*f**3 + 55*f - 33*f.\nAnswer: -3960*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - n + 107 = 0, -n = -8*t + 10*t - 72. What is the second derivative of -14*u**2 - 15*u**2 - 4*u**2 - t*u - 5*u**2 + 7*u**2 wrt u?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/102 and -149\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7, -38, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -370.\nAnswer: -1\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-11))\/2)\/((-17430)\/6391)*-20.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h - 10 = 0. Let w = h - -34. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72294459 to the nearest integer?\nAnswer: 8503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:03 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-24) - (-2)\/3. Suppose 13*t = 2*t - 22. Let v be -3 + 3 + 2 - (-10)\/t. What is the nearest to m in -2, 6\/11, v?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 14*j**2 - 19*j - 17. Does 8 divide n(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 430 = 85. Suppose 3*k - h = -2*c, -2*c - 2*c - 20 = 0. Calculate the smallest common multiple of 4 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1189850, 2379701, 3569552, 4759403, 5949254, 7139105?\nAnswer: 8328956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.72 (b) 20 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65749, 131495, 197241, 262987, 328733, 394479?\n\"Answer: 65746*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 454817*q**2 + q + 5. Let h = 3 + -7. Let m be d(h). Let g = m - 2777073. What is g rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 773*m - 47*m - 86*m + (1 + 3*m - 1)*(0 - 2 + 1).\nAnswer: 637*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 331\/(-37) + 44\/(-814)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 26*w**2 - 26*w - 11. Let r be p(-12). Suppose 2*f - r = -9. Solve f*k + 5 - 15 = 0, 2*k = -3*g + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**5\/30 + k**4\/24 + 5*k**3\/3 + 4936. Factor q(b).\nAnswer: -b**2*(b - 6)*(b + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-10))\/(6 - (-58)\/(-10)). Solve 0 = 4*i - 6 - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 227461*t + 682518. What is g(-3)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 706 (c) 3 (d) -0.02752 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 10*c + 17 = 3*x, -2*c + 5*x = -15. Suppose -1 = -3*o - c*l + 223, 4*o = -2*l + 308. What is the least common multiple of o and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*i - 8*i = -105*i - 1218 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (7 - 7 - (-2 - -5) - -11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(1\/12)*c**(2\/7)\/c**(3\/7) assuming c is positive.\nAnswer: c**(-55\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242 + 361. Suppose z = 4*y - 33. Suppose 3*w - 137 = -2*b - y, 4*w + 2*b - 134 = 0. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/6 - 18\/(-4). Solve 5*y - s = 6, -y = -3*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.551 and 67791?\nAnswer: -240725.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 + -6 - 6) + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, q: 3, f: 3, p: 4, n: 2}. What is prob of sequence rnn?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrrjjjrrj. Give prob of sequence jjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 0*z**4 + 3*z**4 + (z - z + z**2)*(0*z**2 + 0*z**2 + z**2) + (-14*z**2 + 14*z**2 + z**3)*(-1 - z + 1).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p**2 - 59*p + 4. What is s(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13397542, -13397522, -13397492, -13397446, -13397378, -13397282?\n\"Answer: u**3 - u**2 + 16*u - 13397558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -12*p**3 + p**2 - 3*p. Let q(i) = i**3 - i**2 - 1. Let v be 2*((-82)\/574 - (-27)\/42). Determine v*q(n) + d(n).\nAnswer: -11*n**3 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -v - 4*m, -89 + 80 = 3*v + m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -251.89 - 0.11. Let i = 236 + p. Which is bigger: -1\/2 or i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*154\/(-363)*(-81)\/(-21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2403 - -16217. List the prime factors of u.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 22*s + 1202. Calculate the remainder when 4683 is divided by r(44).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2972445 + 6460393. Suppose s + 5712052 = -v. What is s rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)*f**(2\/27)*f**(-4)*(f*f\/f**6)\/f)\/((f**(-1))**41)**20 assuming f is positive.\nAnswer: f**(21710\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*y**2 - 2)*(4*y + 2 + 3*y + y).\nAnswer: 16*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -310 divided by 1\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:43 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1318*p + 518*p + 3029*p - 1878*p + 5202*p to b + k*p and give k.\nAnswer: 8189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -3\/16, -10, -21.\nAnswer: -21, -10, -3\/16, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 - 234*s - 3376. Determine m(-61).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 132? (a) -3\/2 (b) -7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4159, -8406, -12533, -16540, -20427, -24194, -27841?\n\"Answer: 60*z**2 - 4427*z + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (sqrt(117))**2 + sqrt(13)).\nAnswer: -476 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 170*p + 18. Let b(x) = -9*x. Determine u(b(r)).\nAnswer: 81*r**2 - 1530*r + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -103 - (-62 + -37) - (29 + 0)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4*(-2)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 68882721 and -0.4.\nAnswer: 68882720.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 101305099 a multiple of 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 336\/(-15) - (-4)\/10. Let m = 59 + b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**3 + 403*k**2 + 15539*k + 88. What is q(84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 81*c - 14 = 78*c - 142*c + 2, 10*h - c + 58 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/12 - p**3 + 5*p**2 + 6*p + 3. Let o(f) be the first derivative of u(f). Is o(8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + g - 20 = 0, 4*g + 40 = 2*p - 6*p. Let b(x) = -2*x**2 + 3. Let s(n) = 3*n**2 - 5. What is p*s(u) - 10*b(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkhh when four letters picked without replacement from hhphpppphhhhpphhkhh?\nAnswer: 55\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1314\/(-56) - (-4)\/(-14) and 1\/((-11)\/(-19)) + (2014\/57 - 35)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11785, 9793, 7801?\n\"Answer: -1992*n + 13777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 792, 747, 754, 813?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18153 = 632*r + 38*r + 44827 for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/1223, 2\/5, 1\/9, 1, 15\/14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -185, -176, -163, -146, -125?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.9 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 158*h - 159*h + 17, -20 = 5*p. Which is smaller: h or 31\/17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*w + 7*w - 7*w)*(-951 + 9*w + 474 + 475) to the form v + m*w**2 + k*w and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/2376)\/((-7)\/(-63) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 179562 - 2*a**3 + 3*a**2 + 14146.\nAnswer: -2*a**3 + 2*a**2 + 193708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 623376 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18946 or 2595708\/137?\nAnswer: 18946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4242, 8556, 12866, 17172, 21474, 25772, 30066?\nAnswer: 34356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -5 (b) 0.85 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 9*m**2 + 3*m - 20. What is the lowest common multiple of (22\/6)\/(1\/3) and u(9)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 16*f + 34. Let c be g(-18). Is 70 + -1 - 6\/c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -2*h + i, 0 = i - 5. Let l be 4 + -3 - (-8 - h). What are the prime factors of (-2 + (-2 - -5))*l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2099420 * -0.4\nAnswer: -839768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*c + 16*c. Solve c*o = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -30. Suppose 3*n + 5 - 11 = q. Solve 0 = n*y - 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(105)\/sqrt(3))\/((sqrt(7) + 2*sqrt(7) + sqrt(7))*5) + (-1 + sqrt(320) + (sqrt(320) - (-1 + sqrt(320))))**2 + -2*sqrt(320)*5)*3.\nAnswer: -4800 + 4803*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146*-0.179.\nAnswer: 26.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18ba5 (base 14) to base 12.\nAnswer: -30325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d - 1 - 5*d**3 + 0*d**3 - d**2. List the prime factors of g(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*n**5 + 101670*n**4 + 727580*n**3 + 1222810*n**2 + 669735*n + 72800 = 0. Calculate n.\nAnswer: -5, -1, -1\/7, 2912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 - 44*s - 6. Let z be f(-11). Let h(q) = -q**2 - 4*q + 6. Determine h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7191 + (1\/3)\/((-2)\/24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14730)\/(-4)*(-1040)\/(-39). What is l rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14 - 15 + 4 + 7*t + 4*t**2. Let c(b) = b**2 + 2*b - 8. Let j(z) = -7*c(z) + 2*w(z). What is j(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 + -190. Suppose 1192 = 11*u - w*u - 3*x, 3*x = 12. List the prime factors of u.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -230 + 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202076375?\nAnswer: 3, 5, 17, 193, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -324 and -1200061.21.\nAnswer: -1200385.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6208 and 28324?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, 5, 0.5, -2\/11 in descending order.\nAnswer: 5, 0.5, 0.25, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 238 = 18*s + 18 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 4*p + 117.\nAnswer: -(p - 13)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 114*q - 4 + 1.\nAnswer: 114*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7 = -1. Suppose 2*a - 9*a = -14. Suppose 0 = v*o + 10, -o + 29 = -3*y - a*o. What is the second biggest value in -5, 2, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 3. Let w be (1 + 5 + 0)*-1. Let i(l) be the third derivative of -5*l**4\/24 + 7*l**3\/6 - 4*l**2. Give w*i(x) - 14*d(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -0 - 48. Solve 2*x + l*j + 1 = 0, x = 3*x + j - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174cb (base 14) in base 2?\nAnswer: -1110010011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let s(b) be the second derivative of -b**4\/2 + 28*b. Determine s(q(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201020101001000 - 12?\nAnswer: -2201020101001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*o + 12. Let a be 0\/1 + o\/1. Solve -i + 5 - 3 = 0, 4*s = -4*i + a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11192, -22364, -33554, -44768, -56012, -67292?\nAnswer: -78614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26607 and 441?\nAnswer: 79821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -4823?\nAnswer: -4834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3807859150?\nAnswer: 2, 5, 307, 359, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 2:35 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**2 + 513600*h + 60145956 = 0?\nAnswer: -117, 128517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:16 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55194497, 55194495, 55194493, 55194491, 55194489?\n\"Answer: -2*t + 55194499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*m - 18*m - 4. Sort m, 6, 0 in decreasing order.\nAnswer: 6, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132\/83 - 5806\/415. Let g = y - -173\/20. What is the common denominator of g and -103\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -873 - 3417. Is 61 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*k**3 - 1252 + 5*k**5 + 6*k**3 + 1405 - 2*k**2 wrt k?\nAnswer: 300*k**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322242 (base 5) in base 8?\nAnswer: 25303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7930 and 3965.\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/(d**(-1\/6)\/d))\/d)))**(9\/2) assuming d is positive.\nAnswer: d**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*f**2*m + 13*a*f*m - 101*a + 8*f**3 + 7*m - 1 wrt f?\nAnswer: 4*a*f*m + 13*a*m + 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 + 3*p**2 - p**2)*(-p + 3*p - 3*p + (4 - 3 - 2)*(0*p + 29*p - 3*p))*(1 + 0 - 2) as u*p**3 + a*p**2 + c*p + y and give u.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 50*y**2 - 65*y + 245. Calculate u(26).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 2 - -5 - 8. Which is the second biggest value? (a) -0.2 (b) -3 (c) h (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 3*x - 13227, -2*a + 516*x + 4391 = 515*x. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l - 12. Let o(n) = n + 7. Let v(a) = -6. Let b(h) = 2*o(h) + 3*v(h). Let y be b(l). Solve 3 = y*x - 6*x - c, 4*x + 6 = 2*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0329*4.\nAnswer: -0.1316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 24 = -4*n - 3, 5*n + 2*p - 23 = 0. Let u = 0 + 3. Differentiate 0*g**2 - n*g**3 + 2*g**3 - u + 0*g**2 wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(70) - (sqrt(70) - (sqrt(70) - (sqrt(70) + sqrt(70)*1))))\/sqrt(10))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7703, 15598, 23493, 31388, 39283, 47178?\n\"Answer: 7895*f - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and -2.805224.\nAnswer: 0.36467912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -17*h + 220. What is the lowest common multiple of h and 51?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8)*1296\/243)\/((32\/(-44))\/(-2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -27*o**2 + 269*o + 11. Calculate a(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100242211 (base 5) in base 14?\nAnswer: -a5929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46881.\nAnswer: 3, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 + 278. Let b(s) = -s**2 + 31*s - 165. Let x be b(z). Calculate the highest common factor of 88 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 18. Suppose q = -3*s - 2*w - 6, s - 9 = 5*s + 3*w. Suppose -4*x + 3*x + 15 = s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/1)\/3)\/((-3)\/48*8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 8 = -2*s. Solve -2*o = -3*o - s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2 (c) 1\/7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*d + 2*q = 979*d - 493*d - 15, 2*d - 2*q = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39275577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131\/365 + -3\/73. What is the nearest to 1 in 0.4, -2\/19, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2101861 kilometers?\nAnswer: 210.1861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 631745\/68 + -9291. Calculate the common denominator of c and 69\/44.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1914239*g**2*u**5 + 2*g**2*u + 3931020*g*u**2 wrt u.\nAnswer: 114854340*g**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 4, e: 2, z: 1, k: 3}. Give prob of picking 1 k and 1 m.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1908*i**2 + 980*i**2 + 953*i**2 - 6*i**3 - 2 - 3*i + (-i**2 + i**2 + i**3)*(-2 - 2 + 5) + 1 - 1 + 2*i**3.\nAnswer: -3*i**3 + 25*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59028 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-121))\/(20\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1692 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79110 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*u**3 + 236*u**3 + 479 + 624412*u - 624411*u.\nAnswer: u**3 + u + 479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 6*w + 94. Calculate the greatest common factor of w and 6279.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 + 4*z**2 - 2*z + 2. What is b(3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/6, -2, -0.03, -2\/23, 2\/9?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 499 - 55. What are the prime factors of 2\/((4 + 0)\/b)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-86*4\/8)\/(-1). Let v = u + -38. Let d be (2\/7)\/1 - v\/(-7). Solve 3 = 2*p - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5)*(-1 - -6) + 42. Let x be (-4)\/(-3)*(45\/u)\/9. Which is the closest to 1? (a) x (b) 1 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 - -251. Let r = z - 74. What is the highest common divisor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05758 * 172.\nAnswer: 9.90376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -268105.0653784 and -17.\nAnswer: -268122.0653784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**3 - f**2 + 3*f + 3. Give m(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10 = 3*i, 2*x = -4*i - 0*i. Let f be ((-6)\/(-5))\/(135\/(-75) + i). Let m be 94\/6 - (-2)\/(-3). Solve m = 3*n + f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/101 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i. Let h(g) = -6*g**2 - 3*g + 2*g**2 + 5*g**2 - 3*g**2 + 65*g. Determine m(h(w)).\nAnswer: -10*w**2 + 310*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 0*g + 0*g**3 + 1\/420*g**6 + 1\/42*g**4 - 5\/2*g**2 + 1\/70*g**5 - 3. Let b(t) be the second derivative of l(t). Factor b(a).\nAnswer: 2*a*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60324.63 decades to centuries.\nAnswer: 6032.463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l**2 + 75*l - 35. Let v be j(-8). Which is the nearest to v? (a) 64 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1 = -n, 2*c + 6 = -5*n + 24. Is 2\/19 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1. Suppose -5*c + 5 = -5. Let l(b) = -b - 1. Let p(v) = 4*v + 4. Let j(q) = 6*l(q) + 2*p(q). Give c*n(t) + j(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13497 and 6618438.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13547, -27185, -41011, -55121, -69611?\nAnswer: -84577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 4, 0 in decreasing order.\nAnswer: 4, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -596*b**2*n - 761*n wrt b.\nAnswer: -1192*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53042 = -42*n - 52160. Solve 0 = -3*h + 26*q - 31*q + n, -2*h = -3*q + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -2.\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.765 - 0.541. Let i = -0.28 - 0.02. Let a = i + l. Round a to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-699)\/99 - (-6 - (-4116)\/693).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 391 = -45. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j + 1702 + 1761 + 1760 - 5223.\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 30, 78, 5, -1 in ascending order.\nAnswer: -4, -1, 1, 5, 30, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1297*q + 9534 = 292*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.3? (a) 0.1 (b) 1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from sibsisssubsbsb.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 15*q + 4. Let m be a(15). Suppose -5*u + m*z = -1225, 0 = 9*u - 8*u + 3*z - 264. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6888 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58877*j**2 + 465*j + 50 wrt j?\nAnswer: -117754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -356 and -0.8.\nAnswer: 284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + y = 30, -5*a - 2*y + y + 52 = 0. Suppose -g - 2*g = 0. Suppose g = a*v - 12*v + 14. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 1. Let w(a) = -2*a**2 + 8*a + 10. Let y(i) = -2*i**2 + 1. Let g be y(1). Give g*w(p) - 8*r(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, s: 1, m: 3, n: 1, v: 1}. What is prob of picking 1 v, 1 s, and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1221\/(-555)*(-8)\/(-22)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1717\/97669 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 3*h**2 - 5*h - 3. Let g(j) = 7*j - 34. Let c be g(6). Let n be 3*3\/(18\/c). What is m(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -431, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -376.279 - -0.279. Let m = j + 376.0000193. Round m to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 56 = -9*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1\/2, -69714, -1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -85*r**3\/2 - 122*r. Let u(g) = 7*g**2 - 2. Let b(p) = -3*p**2 + 1. Let s(j) = 2*b(j) + u(j). Calculate s(c(a)).\nAnswer: 65025*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13435 + 12702. Which is the smallest value? (a) n (b) -2\/11 (c) -2\/15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4 + 22*r**3 - 2*r**2 - 22*r = 0.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - (-595)\/(-51))*0. Let y(p) be the second derivative of -1\/20*p**5 + 7\/6*p**3 + d - 1\/3*p**4 - 7*p + p**2. Determine y(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8)*(-2)\/(-12))\/(51\/(-1224))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, k: 6}. What is prob of sequence kk?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/57*(-14)\/(34496\/126)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(4\/3)\/k)**(3\/5) assuming k is positive.\nAnswer: k**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*m = 104*m + 103*m - 340 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, -2\/9, -0.052, -1\/3, -399 in decreasing order.\nAnswer: 174, -0.052, -2\/9, -1\/3, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**6\/120 - p**5\/12 + p**4\/6 + p**3\/6 + 25*p**2 + 35*p. Let d(u) be the first derivative of o(u). Give d(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -431985770 to the nearest 100000.\nAnswer: -432000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 6*f + 157 - 178, 0 = f + 5*j - 25 + 4 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 3 - (1 + 4 + -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -1*(1*sqrt(102) + sqrt(102)))*6)\/(-1*sqrt(24) + 6*sqrt(6)*-1)*-3.\nAnswer: 27*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57398 - 4?\nAnswer: 57394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**6\/24 + d**4\/12 - 7*d**2. Find the second derivative of t(h) wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.52663 + -24156.52663. Let j = -24149.20058 - c. Let b = j - 6.8. Round b to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 6. Give p(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37 and -45.\nAnswer: 16.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (590 - 451) + (-1 - -29) - 34?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368542 is divided by 1056.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - v - 197 = -200, -3*z + 5*v - 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 - 35*r**2 + 60*r = 0. Calculate r.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243.7109 - -247.55. Let v = 3.73 - n. What is v rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 125, -7\/4?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 77 = 51. What is the remainder when 100 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -5\/2*z**2 - 2*z + 0 - 13\/6*z**3. Let i(o) = 3*o + 1. Let r be (-28)\/15 + (-44)\/330. Determine r*a(m) - 9*i(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 16. Suppose i*t = 44 - 8. What is the common denominator of t and -71\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -13 - ((36 - (6 + 5)) + -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 5*l**4\/4 + 35*l**3\/6 - 15*l**2 + 16*l. Let w(g) = 0. What is g?\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 369\/3 - ((9 - -1) + (-368)\/(-46))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811232.197 rounded to the nearest 10000?\nAnswer: -1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k - 2*k - k**4 + k**2 + 2*k**3 + 7 - 12*k in the form n*k**4 + t + y*k + m*k**2 + i*k**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*s - 656, -2*s + 492 = -l + 4*l. Suppose -839 + l = -5*p. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 0, -3\/37868 in increasing order.\nAnswer: -3\/37868, 0, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1413272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**3 - 2*m**2 + 6*m + 5. Let l(h) = -6*h**3 - 3*h**2 + 5*h + 4. What is 5*l(z) - 4*w(z)?\nAnswer: -2*z**3 - 7*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23d (base 16) in base 7?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.15 - -0.15. What is the second smallest value in p, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15063\/22 - 683. Find the common denominator of d and 37\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (1\/2 - 1). Let h = -0.2 + -0.05. Let y = 0.05 + h. Which is greater: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(15\/(-20)). Which is the biggest value? (a) s (b) 3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/5 + 843*g**4\/5 - 26861*g**3\/5 + 203673*g**2\/5 + 5372*g - 204516\/5 = 0. Calculate g.\nAnswer: -874, -1, 1, 13, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -2 - (-4 + 19\/(228\/(-384)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1903 and 5190.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2 + 17 - 10 - 34 with respect to n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275407?\nAnswer: 3, 252823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7503.4 - -7503. Which is bigger: b or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/53387 and 22\/52205.\nAnswer: 14147555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 74957.\nAnswer: 6\/74957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*s - 3*g - 69 = -105*s, 5*g = s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -961, -1123, -1313, -1543, -1825, -2171, -2593, -3103?\n\"Answer: -2*f**3 - 2*f**2 - 142*f - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9)*(-45)\/60)\/(20\/(-120)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/8)\/(1*(17 - 23)). Which is smaller: v or -0.08267?\nAnswer: -0.08267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 48*k - 203. Let i be v(52). Which is the nearest to 0.08? (a) i (b) -2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/30983 or 0?\nAnswer: 4\/30983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -340*p - 2384. Let s be t(-7). Sort -46, -2, s, 4 in increasing order.\nAnswer: -46, s, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*x**2 - 56 + 56 - 2*x)*(5*x - 4*x + 0*x)*(-2*x + 0 + 0).\nAnswer: -36*x**4 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 - 6*v + 4. Let m(h) = 7*h**2 + h - 1. Give 4*m(r) + q(r).\nAnswer: 34*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 49*v**3 - 2*v - 1. Calculate b(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k - 5*c, 3*k - 11 = 5*c - 0. Let f be 2 + k - (9 + (-35 - 10)). Calculate the greatest common divisor of 250 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and -2 + 1 - -1 - (-1 + -625).\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 2*b - b + (3*b - 3*b + b)*(1 - 7 + 3)*(4 - 2 - 1).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9681720 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*f + 11*y - 6*y, 5*y - 3 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/15)\/q)**(1\/4)\/(q**(-11\/3)*q**(-1)) assuming q is positive.\nAnswer: q**(281\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -357 + 373 - (30 - 1) - (1 + 40)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112931 or -112932?\nAnswer: -112931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -13*o - 2120. Let i = -80 - o. What is the remainder when i is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13494 - 13454. Calculate the remainder when 1116 is divided by w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v - 7 = 2*q + 50*v, 32 = -4*q - 4*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 3\/8, -3, -0.1 in descending order.\nAnswer: 3\/8, -0.1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/47? (a) -0.2 (b) 10 (c) -1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2157227.1 nanoseconds to minutes.\nAnswer: 0.000035953785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000127394656 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/48*-4*12. Solve 90 - 84 = y*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**6 + 132*s**5 + 136*s**2?\nAnswer: 240*s**3 + 7920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**2*((g**(2\/17)*g)\/g)\/g)**(2\/47) assuming g is positive.\nAnswer: g**(72\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**4\/5 + 2186398*y**3\/5 + 15304697*y**2\/5 - 87455596*y\/5 + 96201204\/5 = 0.\nAnswer: -2186391, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 44039795 + 44039795.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/(-18) - 6\/18. Solve -4*m + 12 = 0, 0*o = -2*o + m + k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287392.\nAnswer: 2, 40231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 1 - 9 - -6 - (10 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 10035244 and -36.\nAnswer: 10035208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852*w**3 + 22 - 9 + 2*w**2 - 13.\nAnswer: -852*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, -29, -2, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210485?\nAnswer: 5, 11, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18533557 + -18533548.024231. Let w = -1.176118 + a. Let q = -7.8 + w. What is q rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + -8 - (76 + -89).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 260, 863, 2040, 3983?\nAnswer: 6884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59754581*n**4 - n**3 - 873916162*n.\nAnswer: -717054972*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153169\/2697 + -1695\/29. Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*h + 14, a = 3*a - 2. Let i be h\/3 + (-9 - 0). Let c = i - -13. Solve -c*k + 15 = -k - 4*w, -4*w = -5*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438366301 = 76*n + 120002301. What is n rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**3 + 5*l**2 + 2*l. Let r(m) = 13*m**3 - 9*m**2 - 5*m. Let z(s) = -5*f(s) - 2*r(s). Let o(i) = i**3 - 2*i**2. Give -14*o(a) + 4*z(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215.7 + -217. Let o = n - -0.9. Which is the second biggest value? (a) o (b) -1 (c) -0.1 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 26. Solve 2*b + 5 - i = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/331474 and 31\/1963346?\nAnswer: 25523498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + -517615801436?\nAnswer: -517615801436.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Sort -2, q, 1 in increasing order.\nAnswer: -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1651 and 2240849?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/6, -2\/7, -5.\nAnswer: -5, -13\/6, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19470 less than or equal to 19469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361 - 359. What is the first derivative of -137 + 44*x**2 - 2*x - 139*x**q - 20 wrt x?\nAnswer: -190*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 - (-32 - -29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-3 + -15)) + -36 + 10.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -646*f. Let n(b) = 2*b. Give n(k(y)).\nAnswer: -1292*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-15)*(-9 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 + 290.43. Let q = -4.9 - p. Round q to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s**(-3\/29)\/s))\/s)*s**(-14))**(2\/13))**(-1\/18) assuming s is positive.\nAnswer: s**(409\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20.18 and 35161744?\nAnswer: 35161723.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d279 (base 14) to base 11.\nAnswer: -51047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 - 29 = 2*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckpmyjm. What is prob of picking 2 y and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 15, 0 = 4*z + a + a + 22. Let n = z + 27. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, w: 3, g: 2, b: 6}. Give prob of sequence wgg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5109 = 7*r - 1975. Let f be 12232\/r + ((-44)\/(-23) - 2). Solve 0 = -5*i + 3*t - f, -4*i + 2*i - 5 = -t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - r)*(-14*r**4 - 16*r**4 - 3*r**4) + (2*r**4 - 2*r**4 - 2*r**4)*(-5*r + 6*r - 12*r).\nAnswer: 55*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + 1 + -2 + sqrt(605)*2 + -5 - (0 + (sqrt(605) + 2 + 4 + sqrt(605) + sqrt(605))**2).\nAnswer: -5487 - 363*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-56)\/126 + 1*10\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/77)\/(36\/28)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:41 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + 0.2. Put -0.3, 2\/15, w in descending order.\nAnswer: w, 2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:16 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjiji. Give prob of sequence iij.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 165653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5276814573 - 0.103?\nAnswer: 5276814572.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.99 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) 4 (c) 0.3 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212414 (base 6) to base 13.\nAnswer: 23230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 7*a - 12. Let c(y) = y**3 + 4*y**2 + 2*y + 2. Let t be c(a). Let p = -3 - -5. Solve -7 - 3 = t*r - 3*n, -r - 2*n = p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.2, 3, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.01321 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.99 + -0.01. What is the third smallest value in -3\/2, x, -1\/6, 2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**4\/3 - 395*z**3\/3 - 1870*z**2\/3 - 1480*z\/3 = 0?\nAnswer: -74, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1. Suppose 5*h = -0 + 5. Let i(r) = -4 - 4*r + 3*r - 4 + 2. Calculate h*i(v) - 6*m(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4080*n - 85860. Give g(-21).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6834, 7724, 9202, 11268, 13922, 17164, 20994?\nAnswer: 25412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -396 - -647. Suppose -j = -3*y + 7*y + 197, -j + 203 = -4*y. Let z = p - y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102 - 23*k**3 + 2 + 21*k**3 + 16*k as p + n*k + x*k**3 + b*k**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3875 (b) -197 (c) 2\/13 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 19*w - 37. Suppose 0 = 9*o - 1542 + 165. Suppose -6*a - 3*a - o = 0. Let r be s(a). Sort -6, -2, r in decreasing order.\nAnswer: -2, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t - 2*t + 3*t)*(0*t - 3*t + 2*t + (2 + t - 2)*(2 + 1 - 4) - 3*t + 3*t - 2*t - 411 + 96*t + 411) to b*t**2 + x + n*t and give b.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m + 13*m - m - 6 - 2*m. Let h = 3 - 9. What is o(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n**(1\/14))\/(n*n*n**(-1\/2)*n*n*n**0*n) assuming n is positive.\nAnswer: n**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 24. Let f be q(-7). Which is the nearest to -0.1? (a) 3\/8 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuubz. Give prob of picking 1 y and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {x: 3, y: 3, g: 2, t: 1, i: 9}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 44 - 16 - 11 - 6*m + 11*m - 20. Let r(v) = 14*v - 10. Determine 7*g(j) - 2*r(j).\nAnswer: 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 6*r - 3. Let f be x(-6). Is 0\/(f\/1) + 163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let b(n) = 2*n + 4. Let f(s) = s + 7. Let m(i) = 5*b(i) - 6*f(i). Give x(m(w)).\nAnswer: -32*w**2 + 352*w - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 15, 26, 39, 54, 71?\n\"Answer: k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*v - 96 = 367, -2*b + 5*v + 457 = 0. Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/66 and 5\/429?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*t - 22 - 2 = 0, 0 = -z + 5*t + 8. Let j = z + 3. Let g = -6 - -16. Solve -4*k + g = 2*a, -2*k = 6*a - 3*a - j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:53 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -16. Let k = d + 35. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)\/(3\/(-12)). Let d be -1*x*(-2 - -3). Let t(u) = -4*u + 0*u + d*u - 4*u. Let v(m) = -2*m. Calculate v(t(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*h**3 + 434390*h**2 - 1041859.\nAnswer: -18*h**2 + 868780*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -93, -234, -439, -708, -1041?\n\"Answer: -32*m**2 + 19*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:54 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176105 or -18138702\/103?\nAnswer: -18138702\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3797 divide 2673269110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Let a(s) = 3 + 2 - s**3 - 7*s + 78*s**2 - 73*s**2. Let k be a(z). Put 1, 4, k in descending order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 2*y**2 - 44548 + 12*y**2 - 5*y**2 + 89089 - 44541.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115 and 72?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, -2, -31.\nAnswer: -31, -4, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 0.4, -113, 352?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1583686 - -1585906.946. Let u = 2219 - f. Let s = -0.054 + u. Which is the third biggest value? (a) s (b) 55 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 151 (c) 0.01 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:26 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162*h**2 + 30*h**2 - 159*h**2)*(-3 + 4 + 0*h**2 + 3*h**2).\nAnswer: -873*h**4 - 291*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2088\/5245 - 2\/1049. Put 21\/11, t, 2\/29 in descending order.\nAnswer: 21\/11, 2\/29, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*g - 490 + 495, -4*g = 2*n - 18. Calculate the lowest common multiple of g and 536.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 255136*z - 8136797312.\nAnswer: -2*(z - 63784)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 21320.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14256 or 613018\/43?\nAnswer: 14256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -7*j - 15*w - 92, 16*j + 33 + 155 = -4*w for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -1\/36*v**4 + 0*v + 2*v**2 - 1\/45*v**5 - 1\/180*v**6 + 0*v**3 + 0. Solve l(c) = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*d + 2*d + 3*q, 4 = d + q. Let j be (3\/d)\/(3\/(-36)). Let f be 2 - (-3)\/6*j. Which is greater: f or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-138) - 3\/((-3726)\/(-168))) + 934\/(-9)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**9\/504 + 7*s**6\/360 + 7*s**3\/6 - s**2. Let g(v) be the first derivative of o(v). Find the third derivative of g(q) wrt q.\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aglgcgcgglglv. What is prob of sequence llla?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13812643.\nAnswer: 13, 1062511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/720 - y**5\/30 - y**4\/8 - 3*y**2. Let j(z) be the second derivative of f(z). Determine j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0.5 (c) -721.6 (d) -2\/15 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i + 1. Let v be f(-1). Let y be 1854\/117 + 3 - (-2)\/13. Suppose -k + v = -4*t - 6, -2*t - y = -5*k. Solve x = -k*x + 4, 0 = -5*n + 5*x + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18253*v - 18254*v - 18257*v + 54771*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**29)**10\/(((s\/s**(-2\/7))\/((s**6\/s)\/s))\/(s**0)**(-3\/11)) assuming s is positive.\nAnswer: s**(2049\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 68\/119 - 8\/14. Suppose 2*t = 5*t - 6. Solve n*f + t*f = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -143*n. Let l(g) = 5511*g. Let z(x) = -2*l(x) - 77*v(x). Let a(u) = -12*u. Suppose -3*s + 7*y - 6 = 2*y, 3*s + y = -6. What is s*a(p) + 3*z(p)?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6*a + 16542 = 0. Let q = a - 1083. Let b = q + 17455\/6. Calculate the common denominator of b and -99\/116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1152, -5, 8, 4, 5, 0, -1 in increasing order.\nAnswer: -5, -1, 0, 4, 5, 8, 1152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2 + 16356*b - 32728 = 0.\nAnswer: -4091, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362445, -724917, -1087389, -1449861, -1812333, -2174805?\nAnswer: -2537277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 2:01 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 17. Let j be v(-11). What is the second derivative of 6*m**j + 4*m + 31*m**5 - 16*m wrt m?\nAnswer: 740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21555 (base 10) to base 2\nAnswer: 101010000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.81, 0.0442, 13, -4 in descending order.\nAnswer: 13, 0.0442, -0.81, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 7*q**2 - q - 6. Let z be u(5). Suppose -2*g - 1 - 3 = 2*d, -2*d = -2*g + 16. Suppose x + g*x = z. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -215 - -520?\nAnswer: 30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -2\/9*j**3 + 0*j + 3*j**2 + 1\/18*j**5 + 0 - 1\/12*j**4. Factor u(x).\nAnswer: 2*(x - 1)*(5*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -222, -4, -0.2, 0.5 in increasing order.\nAnswer: -222, -4, -0.2, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-50))\/(2\/(-5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 13713?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**5\/n*n)\/n**(-4\/5))\/(((n\/(n*n**(-2)))\/n)\/n**6)*(n*n**(2\/9)*n*n*n*n*n**(-6))\/(n\/n**(-1))**35 assuming n is positive.\nAnswer: n**(-2564\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1290 + -702. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b - 2. Find the common denominator of 10\/(-9) + b\/(-6) and (-196)\/24*(-5 - -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -8 - 6. Suppose -2*o = w - 1, w + 37 = -c*w + 4*o. Is w greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(15)\/sqrt(3))*-4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/3, -0.13, -2, 2.09, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 take away 0.009?\nAnswer: -3.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let f(b) = 3*b**3 - 4*b**2. Let l(r) = r**2. Suppose -152 = -4*y - 136. Give n*f(i) + y*l(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -10443?\nAnswer: 10434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14641 is divided by 257.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (6 - 5)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8707123 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.92 - -0.08. Let p = a + 4. What is the closest to 1\/4 in -5\/4, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -202776718*b**3 - 160938900 wrt b.\nAnswer: -608330154*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 864\/40 + 2\/(-10)*-2. What is the greatest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 a factor of 653226666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 405832, 405831, 405830, 405829, 405828?\nAnswer: 405827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7903277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 0.3917 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**3 - 4*q**2 - q + 7. Let j be z(2). What are the prime factors of (-7)\/(j\/(-1254)) - (-7 - -5)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -32\/21*z**3 - 4\/3*z**2 - 2\/7*z + 0 - 4\/21*z**4 + 2\/7*z**5 = 0.\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.651 - -0.251. Let p = 1098 + -20855\/19. Which is the biggest value? (a) p (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.38 - -21.19. Let s = q - -7.19. What is the smallest value in s, -0.4, 2\/31, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 2*p + 30, 7*p + r = 2*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 8:02 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*y = y - 17, -3*q + 34 = 5*y. Let f(n) = 7*n**2 - 6*n**2 - q*n**2 + 0*n**2. Let l(b) = -119*b**2. Determine f(l(a)).\nAnswer: -28322*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*(-4)\/48*-1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -555439442 and -0.215.\nAnswer: -555439442.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*p = 4063815 - 940010 + 3870527. List the prime factors of p.\nAnswer: 3, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41540 and 202740?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w**2 + 7*w**3 - 2*w**3 + 7*w**2 + 5*w - 6*w**2 + w**2. Let y(a) = -2*a**3 + 3*a**2 - 2*a. Let x = 0 + -6. Let r = -2 + x. Give r*y(v) - 3*h(v).\nAnswer: v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17216 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: Let b = -2 + 156. List the prime factors of b.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -293*(1 - (4 + -4)). Let p = m - -298. Which is the second smallest value? (a) -6 (b) p (c) -2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 61\/(1\/(-2 - 3 - -6)). Solve -g*l + 58*l = 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036515 to the power of 1\/2, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 73767532 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:36 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-8))\/f**(-2\/19))\/(((f\/f**(-8)*f)\/f*f)\/(f\/(f*f*(f*f**(-13\/3)*f)\/f))) assuming f is positive.\nAnswer: f**(-773\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46\/255 - -1\/51. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x. Let w be n(3). Let f be (-9)\/w + (-3)\/5. Suppose f*c = 4*c - 92. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 502*u + 2483. Calculate s(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 23*u + 1. Let w(o) = 67*o + 2. Let s(j) = -6*w(j) + 17*z(j). Let x(y) = 11*y - 6. Let g = -92 - -87. Give g*x(p) - 6*s(p).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -0.11 (c) 1\/5 (d) -5 (e) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 0, 1, 45.61, 0.1, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 94655?\nAnswer: 378620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/83 (b) -79 (c) 6 (d) -0.1 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 - (55 - 47)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 7:26 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 530 + -251. Let i = v - 87. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**2\/w))**(-20))**(4\/15)\/((w**(-2)\/w)**43*w\/(w**(1\/11)\/w)*w*w*w*w**(-2\/13)\/w) assuming w is positive.\nAnswer: w**(17910\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37\/4? (a) -1\/5 (b) -16 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-60))\/((-15)\/20))\/((-27)\/15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4131, 8413, 12917, 17649, 22615, 27821, 33273, 38977?\n\"Answer: v**3 + 105*v**2 + 3960*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - d + 16. Suppose 58*n = 9*n - 36*n - 255. Give h(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -38. Let s be 33\/(-9) + (-2)\/(-3). Let m be -2 - (s + (-24)\/(-20)). Which is the closest to m? (a) p (b) -0.1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 7*n**5\/3 + 3*n**4 - 5*n**3\/3 - 3*n**2 - 2*n\/3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 12015327494 - 12015327494.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i*o*q - 6*i*o - 154*i*q - o*q wrt o?\nAnswer: -2*i*q - 6*i - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -55. What is the remainder when k is divided by 2*(-1)\/(-2)*12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 5*u**4 + 16*u**5 + 3*u**4 + (-59 + 59 - 28*u**3)*(-u**2 + 0*u**2 + 2*u**2).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3249, 3256, 3267, 3282, 3301?\nAnswer: 3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = -2*p - 6, 5*p + 35 = 3*a. Let s(j) = 3*j**2 - 7*j - 6. Let k(z) = -z**2. Let t(r) = -4*k(r) - s(r). Let h be t(-6). Solve a + h = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, and 2 r when four letters picked without replacement from rewfrjfefwtr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 6*q**2 + 6*q + 5. Let b be m(-4). Let l = 76 + b. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 - -2) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/((-6)\/(-234)*1). Find the second derivative of 17*n**2 - 16*n**2 - 10*n**2 - z*n - 6*n wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 4*s**2 + 10*s + 10. Let f be x(5). What is the first derivative of -f + 53 - 36 + 10*u**4 wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334065775 to the nearest integer?\nAnswer: 18277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*p + 144 = -0*p, 2*v - p = -96. Let s = 62 + v. Calculate the lowest common multiple of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 18.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-1 + 0 - -1). Let x be 3\/(-2)*y\/3. Solve 0*u = -u + x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/5393584 and -169\/210.\nAnswer: 80903760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2034778111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-14)*(-4557)\/(-1085).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 112 = 6*o. What is the third derivative of -119*l**4 + o*l**2 - 9*l**2 + 123*l**4 wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3*(-8)\/(-12) + 44\/72 and -19\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 0 + 0)*(1352300*s + 3880*s**3 - 1352300*s) to r*s + f*s**3 + q*s**4 + h + p*s**2 and give q.\nAnswer: -3880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -5\/2, 2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*c. Suppose -b = c, -8 = -0*w - 4*w - 2*b. Suppose -3*n - z = -116, w*n = 4*z - z + 81. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(245) + 1 - (4 + (sqrt(245) - (-2 + sqrt(245)))))**2.\nAnswer: -140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let a = k + -4. Let x(c) = -c**2 - 6*c - 6. Let j be x(-5). Sort a, j, -0.4 in descending order.\nAnswer: -0.4, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/2 + 385*b**4 + 149753*b**3\/2 + 293378*b**2.\nAnswer: b**2*(b + 4)*(b + 383)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -493*s**5\/60 - 703*s**3\/6 - 64*s**2 - 2*s. What is the derivative of j(l) wrt l?\nAnswer: -986*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/5214643 and -3\/7.\nAnswer: 5214643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*s + 1274 = 0, 12*q = 9*q + s + 3774. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2107172318, -2107172320, -2107172322, -2107172324?\n\"Answer: -2*n - 2107172316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n + 136. Let t be 1\/3 - (592\/(-12))\/(-4). What is the units digit of 8\/t - n\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(0 - 2 - -3). Let n be b*(-19)\/2*2. Let l = n - -55. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.93? (a) -2\/5 (b) -5 (c) 46\/11 (d) -3\/5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -32*s - 98. Determine c(-5).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 475206*l + l**5 + 4*l**5 + 2 - 2*l**5 + 102*l**4 - 475339*l wrt l.\nAnswer: 60*l**3 + 1224*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/6)\/((-295)\/(-944))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 33. List the prime factors of g(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 599? (a) -70\/9 (b) 0 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2461138.\nAnswer: 2, 23, 53503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 2:07 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 5\/28*i**4 - 1\/7*i**3 + 0*i**2 - i + 3\/20*i**5 + 0. Factor t(m).\nAnswer: 3*m*(m + 1)*(7*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 866.0058km?\nAnswer: 86600580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 96 = c. Suppose c*q - 3*q = 1534. Calculate the highest common divisor of 59 and q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118250405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 765 and 289323?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176809 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-35)*3\/(-12)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 5*u - u**2 + (4*u - 2*u**2 - 4*u)*(-1 + 3 - 4) + u - u**2 - u)*(0*u**2 + u**2 - 2*u**2) + (-1 - 2*u**3 + 1)*(-144 + 103*u + 144).\nAnswer: -208*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528361 and 60845.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-2) - -4) + 40. Let z be (-200)\/12 + 1\/(-3). Let h = z + o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i + 125 = 5*w, -4*w = -20. Let h be i\/(((-13)\/52)\/((-2)\/(-4))). Is -49 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -0.036.\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49174145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(300) + (sqrt(300) + 3*sqrt(300)*2 + sqrt(300) - sqrt(300)) + sqrt(300))\/(sqrt(6) - sqrt(18)\/(sqrt(3)*-1)).\nAnswer: -5 + 45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 - 7. Let g(r) = -r**2 - 1. Let p(h) = -2*g(h) + u(h). Determine p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905*f**2 + 907*f**2 - 1810*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = r, -9 = d + d - 5*r. Let q = -0.037 - 4.063. Let s = q + 1.1. Sort s, d, -1\/6 in descending order.\nAnswer: -1\/6, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5}. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*y**(-6\/5)*y)\/((y*y**(3\/4)\/y)\/y)**(2\/33) assuming y is positive.\nAnswer: y**(599\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -33*g**2 - 4*g - 4. Let d(m) = m - 18. Let p be d(15). Let b be a(p). Let v = -90 - b. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, c: 7}. What is prob of sequence ccfc?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**3 + 2*r**2 + r + 3. Suppose 5*x - 172 = k, -4*x = k - 98 - 36. Calculate the remainder when t(3) is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4301837176 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1797, -7604, -17271, -30792, -48161, -69372?\nAnswer: -94419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q*q**(-2)*q*q)*q)))**(16\/9))**(-1\/11)\/((q*q**3\/q*q**7)\/(q**(2\/7)*(q\/((q**(-7)*q)\/q))\/q)) assuming q is positive.\nAnswer: q**(-1993\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3492, 3489, 3486, 3483?\nAnswer: 3480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3448331, -3448327, -3448321, -3448313?\n\"Answer: h**2 + h - 3448333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 2*z. What is the second derivative of z*a - 6*a + 18*a + 4*a**2 wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/((f*f*f\/f**(-28))\/f))*f)\/f**(-8))\/(f*f\/((((f*f**(-24))\/f)\/f)\/f))**(-2\/41))**(7\/4) assuming f is positive.\nAnswer: f**(11585\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*l*m**3 - 10*d**2*l*m + 11*d*l*m**3 - 2*d*m**2 + 4*l*m wrt d.\nAnswer: -4*l*m**3 - 20*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 216600 rounded to the nearest 1000?\nAnswer: 217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 12 = -u, 2*k = -u + 5 + 7. Let m be u + 6*(-3)\/(-6). Calculate the highest common factor of 60 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19446 and 1983492.\nAnswer: 1983492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 19180000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5600)\/350 + 2 + 11. Let l(h) = -3*h**3 - 7*h**2 - h + 2. Give l(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 23*z - 2. Let b be w(2). Let h = b - 8. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w + 1. Let m(s) be the first derivative of 9*s**2\/2 + 2*s - 1. Suppose 3*h - 10*h + 28 = 0. Give h*m(r) - 7*x(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.07302\nAnswer: 0.021906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c\/(c\/c**(2\/7)*c))\/c)\/c*c)**(-3\/23)\/(c*c*c**(-1\/3)*c**(-2\/3)*c) assuming c is positive.\nAnswer: c**(-307\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -1, 1 in decreasing order.\nAnswer: 6, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32012 + -4?\nAnswer: -32016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12660.33km in millimeters?\nAnswer: 12660330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*s + 34*s - 28*s)*(-13*s + 33*s - 2 - 6*s)*(16 - 16 + 26*s).\nAnswer: -4368*s**3 + 624*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-232)\/812)\/(12\/7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 333024 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 + 7*r**5 - 98*r**3 - 12 + 74*r**3 - r**5 - 2*r**5 + 84*r - 40*r**2 + 12*r**4.\nAnswer: 4*(r - 1)**3*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbbxnnncbxb. What is prob of sequence bxc?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37660 - (((-1200)\/10)\/12 + 12).\nAnswer: 2, 19, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2950 by 3.\nAnswer: 2950\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185050428 or -185050437?\nAnswer: -185050428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -608*w - 2573. Is a(-19) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g - 5. Let t be -4 - 15*-2*22. Let k(l) = -8 + t*l - 633*l + 22. What is -17*c(q) - 6*k(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 2*n - 76, -4*n + 222 = 24*i - 10*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 27, 60?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20760817 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b**2 - 4*b**2 - 18*b - 97*b**3 + 9*b + 96*b**3 to a*b + z + f*b**2 + s*b**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3554, 14236, 32032, 56936, 88942?\nAnswer: 128044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2931, -2944, -2981, -3054, -3175, -3356?\nAnswer: -3609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -86. Solve 0*w + 3 = -o*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/2*(8 - -37). Let t = y - -142. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 54.\nAnswer: -5, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 23*b**2 - b + 5. Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c + 0*c)*(-5*c + c + 2*c) + ((c - 3*c + 4*c)*(0 - 4 + 3) - 4 + c + 4 - c - c + 0*c - 5*c - 4*c - 3*c)*(3*c + 3*c - 4*c).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 f, and 1 m when four letters picked without replacement from {z: 1, f: 3, m: 1, w: 5, y: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65\/12 + -937\/60. What is the common denominator of -15\/7 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(90))\/(sqrt(10)\/sqrt(2)*-2) + (sqrt(32)\/sqrt(4) - (sqrt(72)\/sqrt(3) - sqrt(24))\/sqrt(12)) + 0.\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + 52 + -91 + 0 + 33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40648.\nAnswer: 2, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -38 + 2316*i - 2315*i - 12. Let c be k(51). Solve -c = -7*h + 34 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2863)\/(-15) + (-240)\/(-1800) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101405 divided by -5\nAnswer: 20281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 2*a + 2*a)*(0*a + a + a + (-2*a + 4*a + a)*(3 + 2 - 2) + 3*a + 2 - 2 + (-a + 2 - 2)*(-9 + 1 - 3)) to the form d*a**2 + z*a + j and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8020 by 1.\nAnswer: -8020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1600)\/(-90) - 2*4\/(-36). What are the prime factors of ((-2)\/(-2) - -459)\/(n\/45)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -28. Let p = 17 + r. What is the common denominator of -79\/16 and 73\/22 - p\/(-5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + i + (0*i + i + i)*(0 - 2 + 1))*(-i + i + i)*(0 + 2 - 1).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4355 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + s + 2. Suppose 19 = -b + 17. Give a(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n - 146771 = -146220 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 34221 = 300656. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 4 = -71 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-17)\/3)*6\/2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -270*s**2 - 133*s. Let g(d) = -266*d**2 - 133*d. Let l(o) = -3*c(o) + 4*g(o). Find the second derivative of l(h) wrt h.\nAnswer: -508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68119.\nAnswer: 17, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**3 + 6*o**3 - 3*o**2 + 4710 - 15*o**3.\nAnswer: 3*o**3 - 3*o**2 + 4710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5610 (b) 0.4 (c) -31 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 + (-173 - -122 - -23)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*u + 713*u - 186*u + 64940 = 0 for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 1:19 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155731749, 311463497, 467195241, 622926981, 778658717, 934390449?\nAnswer: 1090122177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 564\/4*34\/1020*-10?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941 is divided by 925.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 55*v**2 - 152*v + 931. Calculate h(-24).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 12*l**2 + 9*l - 55. Calculate s(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**3 - t**2 - 17*t - 2. Let b(y) = -y**3 + 3*y. Let s(l) = 5*b(l) + h(l). Let j be 2 + (2 - (2 + -1)). Is 13 a factor of s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, g: 2, a: 5}. What is prob of picking 2 a and 2 d?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/243 + 85\/486. Sort -4, 0, -0.1, a in increasing order.\nAnswer: -4, -0.1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-34))\/(48\/(-32))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 11\/190095?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 119*z + 2. Let c(y) = 18*y. What is c(d(a))?\nAnswer: 2142*a + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) -4 (c) 2 (d) 3\/59 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0 + 18 + a - 1 + 21. What is the least common multiple of r(-16) and -113*(-5)\/(5\/2)?\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*u = -181*u + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 119733 divided by 39911\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let t(g) = 738*g + 369*g + 865*g - 87*g. What is x(t(m))?\nAnswer: -7106450*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(95) + sqrt(95)*-2 + sqrt(95) + sqrt(95))*4 + sqrt(95) - sqrt(95))\/((1*sqrt(60))\/sqrt(12))*-5*-6.\nAnswer: -360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 996855*l**2 + 74367 wrt l.\nAnswer: 1993710*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g + 24. Let l be p(0). What is the greatest common divisor of 24 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c*l**4 + 2*c*l**2 + 100306*c*l*z + 11488*c*z - 3*c + 2*z + 1 wrt l?\nAnswer: 16*c*l**3 + 4*c*l + 100306*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 387970560 a multiple of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, 57.8, 12, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 8*l + 2*u, -31 + 26 = -5*l - 5*u. Let f(a) be the third derivative of 5\/3*a**3 + 0*a + 1\/8*a**l + 0 - 18*a**2. What is f(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12081837 by 12081837.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4302755 - 4303180.16932. Let q = -420.5693269 - x. Let j = -4.6 + q. Round j to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*y = 78. Let l = -9 + y. What is the first derivative of 4*f**l + 0*f**4 + 12 - 7*f**4 - 8*f**4 wrt f?\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 4) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:25 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/(l**9\/l))\/(l\/(l**(1\/3)\/l*l)*l)**(-42))**6 assuming l is positive.\nAnswer: l**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156786436*j**5 - 5331090*j**2 + 5?\nAnswer: -9407186160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -328422.39937 - -328421. Let q = w + 1.393. Round q to four decimal places.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28, -95, -4.\nAnswer: -95, -28, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyaatyya. Give prob of sequence yyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*d**4 + 7*d**3 - 7*d**3)*(2 - 11 - 30) as t*d**3 + c*d + p + a*d**2 + u*d**4 and give u.\nAnswer: 741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 32*y**2 - 396*y - 360.\nAnswer: 4*(y - 15)*(y + 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001431 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 0 - 5. Suppose -j - s = -7, 3 = -2*j + j + s. Let l(n) = -2*n + 8*n**j + 0*n**2 - 8*n**2 + n**2 - 1. Give l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 74\/3. Let g(x) = x + 1. Let l be g(0). Let o = -0.02 + -4.98. Sort u, o, l in decreasing order.\nAnswer: l, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15638572 and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27441.000028586 - -27441. Round q to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b + 19. Let o(n) = 4*n + 10. Let j(f) = 3*a(f) - 7*o(f). Calculate j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -b5?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/114 and 53\/300010?\nAnswer: 900030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3906 and 504?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:28 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13\/5)*(a\/a**(3\/8))\/a*a*a)**(-1\/41) assuming a is positive.\nAnswer: a**(39\/1640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -587, -889?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142313039*y**3 + 2*y**2 - 351002008*y wrt y?\nAnswer: 853878234*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 36*f**2 - 119*f + 80. Let n be d(39). Solve 3 = n*i - 5, 9 = q + 2*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 67.\nAnswer: 5\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-20)\/5) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1, -1645 in ascending order.\nAnswer: -1645, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4, 4*m + 772 = -o - 433. Let p(s) = -39*s**3 - 4*s + 4. Let b(q) = 2924*q**3 + 301*q - 301. Calculate m*p(t) - 4*b(t).\nAnswer: 43*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 x, and 1 c when four letters picked without replacement from iiicyisiysisxsx.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17, 14, 103, 280, 575, 1018, 1639, 2468?\n\"Answer: 5*x**3 - x**2 - x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n + 35. Let h(g) = -4*g - 36. Let t(f) = -6*h(f) - 5*v(f). List the prime factors of t(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/((-135)\/(-320))*(-9)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from uiuvsousoisb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1140141 - 1021?\nAnswer: 1134120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 686.7 - 686.8. Let n = 44 - -5. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = j + 9*h - 15 + 60, 6*j - 17*h = -16*h - 52 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/140 + (-45)\/(-7) + -1. Let o be 26*-2*u\/(-10). Suppose -g + 26 = o. Which is smaller: -1\/46 or g?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9913552 a multiple of 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 98*l + 1774?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -26*k**2 - 932*k + 1107. Calculate z(-37).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-29)*1*-2*(-1)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:14 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*g**2*o**2*u**2 - 21522*g**2*u**2 + 2*o**2*u**2 + 130288*u**2 wrt g?\nAnswer: 10*g*o**2*u**2 - 43044*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.02 + 2.18. Let z = 36.2 - s. Which is the smallest value? (a) z (b) -6\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799*g**2 - 2581 + 796*g**2 + 2581 - 9*g**3.\nAnswer: -9*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q - 1. Let j be x(-4). Let u = j - -115. Let t be (-16)\/(-40) - u\/(-10). Which is the second smallest value? (a) t (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -8. Let d be 2691\/81 + f\/9. Let m = d - 20. Solve -3*h + 3*k = 0, -2*h - k = -2 - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34600075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-171)\/15)*(-10)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.712094l to millilitres.\nAnswer: 3712.094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q + 5. Suppose -3*h = -p - 19, -4*p - 36 = -5*h + h. Suppose -1 - 5 = 4*n - 2*j, -j - h = 0. Is 25 a factor of a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1584231, -1584228, -1584225?\n\"Answer: 3*u - 1584234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*y - 1968 = -196*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from {h: 4, m: 3, j: 2, y: 1, g: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 66 = 6. Solve x*z - t = -2*t + 22, 0 = -2*z + 2*t + 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 13*n - 70. Let w be t(10). Let l = 0.1 - 0.3. Let k = -197\/147 - -1\/147. What is the closest to 0.1 in k, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 692\/11 + 2\/11*d**2 - 350\/11*d = 0.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1087.127497 - -268.881313. Let f = a - 1356. What is f rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1189 divided by 1\nAnswer: -1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/55*(135\/(-6))\/9*-24.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2326 + 107*c**2 + 111*c**2 - 328*c**2 + 112*c**2 - 689*c + 1794*c wrt c?\nAnswer: 4*c + 1105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.5 - -52. Which is the closest to -0.1? (a) 4 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 650302311?\nAnswer: -650302305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 11*d**2 - 12*d + 5. Let l be v(12). Suppose -o = l*m - 162, -2*o - 4*m + 330 = -0*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 + 9*w**2 + w**4 + 4*w - 5*w + 5*w**3 - 13*w**2 in the form m*w**4 + y + q*w + r*w**2 + x*w**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 10:53 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v + 6 = 0. Suppose v*c = -c + 27. Let m = 23 + 2. What is the remainder when m is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 67 = -5*u + 218, 5*u = 2*p - 255. Suppose 20*q = 15*q + 5. Does 16 divide q*3 - p\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(2) + 4) + sqrt(8)\/(sqrt(8)\/sqrt(2)*-5).\nAnswer: -16*sqrt(2)\/5 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169402 is divided by 42314?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 21. What is the greatest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or -7185?\nAnswer: -7185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-2 + -37 + 40)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12167 + -12167. Which is the nearest to -0.03? (a) 4\/7 (b) -2\/11 (c) z (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let a(d) = 4*d + 3. Let o = 50 - 46. Let q(c) = -c. Let z(v) = 5*v + 1. Let u(g) = o*q(g) + z(g). Determine r*a(s) + 3*u(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 0*y - 5*y - 4*y + y + 16*y + (5*y - 4*y + y)*(-3 - 1 + 3).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 893 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -791 - -796. Let j(a) be the second derivative of 0*a**3 - 1\/2*a**2 + 3*a + 0*a**4 + 0 - 1\/10*a**c. What is the derivative of j(y) wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1638 and -191\/72072?\nAnswer: 72072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1377)*1 + -4 + 2 + ((1 + sqrt(1377) + 2)**2 + 4)*5.\nAnswer: 279*sqrt(17) + 6944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11 - 4 + 8 + 24*v - 41*v - v**2. Is o(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 13 + 39 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*i = 21 + 10, 2*s + 3*i = 4. Suppose -s*a = -3*c + 5*c + 38999994, -31199985 = 4*a + 5*c. Round a to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1310800504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 75*o**2\/2 - 3*o + 22. Find the first derivative of h(m) wrt m.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2930*n - 33038 + 120205 = 7575 - 137228 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/3 + 100*o**2\/3 + 97*o\/3 - 66 = 0. Calculate o.\nAnswer: -99, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 31*l**5\/60 - l**4\/24 + l**3\/6 - l**2. List the prime factors of q(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s + 73. Suppose -4*p + 4*k + 84 = 0, 0 = -0*p - p - 3*k + 37. What is the tens digit of a(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184*-13225.\nAnswer: -2433400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 + 78*g**2 - 11*g**2 + 7*g**2.\nAnswer: 83*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1143, 660, 177, -306, -789?\nAnswer: -1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1027813)\/9348025 - 12\/(-100)\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/12 + 13\/4. Is 0.2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000086489 rounded to seven decimal places?\nAnswer: -0.0000865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*g - 33*g + 9, -3*h + 2*g = 13*h - 66 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 8753. Let l(v) = -180*v - 9. Calculate r(l(u)).\nAnswer: -180*u + 8744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430 - -3010132?\nAnswer: 3004202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 + 24294*r**2\/7 + 6942*r + 24298\/7.\nAnswer: -2*(r - 12149)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012107059 to seven dps.\nAnswer: 0.0012107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 671143*o**3*s**2 + 15*o**2 - o*s**2 + 4*o*s + 173*s**2 wrt o?\nAnswer: 4026858*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5868?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*g**2*i*w - 4*g**2 - 62*g*i*w + 169*w wrt i?\nAnswer: -4*g**2*w - 62*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*g - 3*g. Suppose -5*b + 4*p + 1 = -35, -2*p - g = -b. Suppose -w + b = -2*w. What is the third smallest value in -2\/9, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2 and 131\/1144100?\nAnswer: 1144100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -42*o + 45. Let c(w) = -10*w + 11. Let p(t) = 9*c(t) - 2*r(t). Let x(z) = -7*z + 10. Give -5*p(s) + 4*x(s).\nAnswer: 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1043801.96 times 3\nAnswer: 3131405.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 5:09 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 0.44, 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*d**2 + 1567*d**2 + 836*d**2.\nAnswer: 1893*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41592?\nAnswer: 2, 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*b**3 - 7399437*b**2 + 8327343*b - 30?\nAnswer: -324*b - 14798874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 592166870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133.9778 - 134. What is g rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-3)\/(-9))\/((-14)\/42))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 50. Let o be 2 + -1 - (-2)\/4. Let z be 8\/(16\/(-10)) + 8. Which is the third biggest value? (a) o (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0, 2, 5, 23, 8 in decreasing order.\nAnswer: 23, 8, 5, 2, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s + 5. Let n be v(6). Let z(t) = -6*t - 40 + 24 + 15. Give z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11402 - (7 - 7)\/(-5).\nAnswer: 2, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21013 at most as big as -21029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*w**5 - 740139*w**4 - 11845*w + 136 wrt w?\nAnswer: 240*w**3 - 8881668*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(10) - -2*sqrt(1440) - sqrt(10)) - sqrt(10))\/(sqrt(250)\/sqrt(5)).\nAnswer: -24*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzbbbbbzbzzibb. What is prob of sequence ziz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 24. Let x be t(20). What are the prime factors of 490\/8 - -3 - 3\/x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v. Suppose v = -f + 442 + 1870. Let t = f + -1407. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32127468145+-2\nAnswer: -32127468147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 163840 and 66197504?\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 196, -140, -112, 760, 2956, 6956, 13240, 22288?\n\"Answer: 80*l**3 - 298*l**2 - 2*l + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**2 + 84*g + 25. Let b be l(17). Calculate the greatest common divisor of 116 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12 and (4\/((-72)\/21)*10)\/(-18)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 1547*t**2 - 3294*t**2 + 1312*t**2.\nAnswer: -2*t**3 - 435*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 0*g - g)*(83483 - 1003*g - 83483) + 0*g**2 + 2*g**2 + g**2 + (-1 - 2*g + 1)*(-3*g + 0*g + 2*g) as w + u*g + s*g**2 and give s.\nAnswer: 4017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 3*v**5\/20 - 14*v**4\/3 - 66*v. Find the third derivative of w(p) wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:29 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w - 0. Suppose -2*y = w*a - 246, -3*y - 520 = -a - 3*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01592 rounded to four dps?\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*p - 67*p + 4*p)*(3 - p**2 + 1 + 5) to the form r + w*p**3 + j*p + o*p**2 and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 745 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4356)\/(-72237)*6\/(-36)?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/189*(-8 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 z when four letters picked without replacement from {f: 3, z: 3, e: 1, h: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8\/(-10))\/(6\/(-495))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98990 at most as big as 98975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 25*j. Let u be (-3 + -2)*2\/(-2). Let l(g) = 64*g + 24. Let o(m) = -13*m - 5. Let x(i) = u*l(i) + 24*o(i). Give a(x(t)).\nAnswer: 200*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6 - (-1930)\/60. Let h = x - 31. Is (-89)\/((-1 - h)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6375787, 6375769, 6375715, 6375607, 6375427, 6375157, 6374779, 6374275?\nAnswer: 6373627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14*w**2 - 238*w - 1. Let f be c(17). Put f, -9, 24 in increasing order.\nAnswer: -9, f, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 16*f - 19. Let m be j(-12). Suppose 20 = 4*s, 5*p + 4*s - 277 = -m. Calculate the least common multiple of 12 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38567.6178 rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 5. Let d = -14 + 14. Suppose d = -r*w + 1 + 9. Calculate the lowest common multiple of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 672, -0.01, 1, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 47*b + 1. Let a(q) = -6*q**2 + 48*q. Let r(g) = 3*a(g) + 4*s(g). Let o be r(22). Solve u = -3*u - o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 27 = 3*r, -3*s + 3*r + 9 = -0. Let k = s - -2. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758*n - 756*n + 4*g = 58, -5*n = -3*g - 119 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10407*u**3 - 4*u**2 - 8*u + 4. Let n(x) = -243502984*x**3 + 93591*x**2 + 187182*x - 93591. Determine -4*n(c) - 93591*t(c).\nAnswer: 10399*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrrhirirno. What is prob of sequence rin?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21654 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 196 - 135.8. Let a = i + -57.2. What is the third smallest value in 1.1, a, 2\/19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2400.7 * -2204\nAnswer: 5291142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 43. Let h be j(12). Let k be h + 1\/(1\/5). Let v(u) = -9*u**3 - 5*u - 5. Let w(y) = 4*y**3 + 2*y + 2. Calculate k*v(n) - 5*w(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - (7 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d**2 - 81*d + 216. Let o(u) = -8*u**2 - 55*u + 144. Let i(g) = -8*o(g) + 5*z(g). Differentiate i(l) with respect to l.\nAnswer: -2*l + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76519 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 362*k**2*z**5 + 840*k**2*z**4 + 9*k**2*z - 1990*k*z - z**2 - 4 wrt z?\nAnswer: 21720*k**2*z**2 + 20160*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/(140\/21 - 7). Let z be 0\/(-1) + u + 3. Solve -q - 3*h = -z*h + 9, -q - 4*h + 11 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 31*q - 72 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 13 (c) -0.4 (d) 0.3 (e) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -309 - -339. Find the third derivative of 3*c**2 + y*c**6 - 28177*c + 28142*c - 4*c**2 wrt c.\nAnswer: 3600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104020204 (base 5) to base 10\nAnswer: -454429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 1 + 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a**2 - 4*a - 38. Let z(w) = -5*w**2 + 2*w + 18. Let r = 139 - 145. Let g(v) = r*x(v) - 13*z(v). Let t = 137 - 142. What is g(t)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*5\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020002210202 - 10?\nAnswer: 2020002210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**5 + 32*c**4 - 85*c**3 + 59*c**2 + 80*c - 100 = 0. What is c?\nAnswer: -1, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*f - 9. Suppose -2*o + f = -12. Calculate the least common multiple of 3 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782)*5*-6)\/((sqrt(1100) + sqrt(1100) + -4*sqrt(1100) + sqrt(1100) + sqrt(1100) + sqrt(1100))*-4).\nAnswer: 27*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1851*t**4 - 2*t**2 + 958.\nAnswer: -44424*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 = -11*j - 400. What is the remainder when j is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 - (1 + -8)) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5 - 1413*n**4 - 4245*n**3 - 4247*n**2 - 1416*n = 0.\nAnswer: -1, 0, 1416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5177 or -8023\/8?\nAnswer: 5177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1998 = 5*c + 2*q, 4*c - 1604 = -q + 5*q. Suppose -4*a = c + 88. What is the units digit of (1 - 4)*a\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = 5*x - 35, -4*c - x = -49. Let k be 6 + 0 - (c + -7). Suppose -103 = -k*g + 2*q + 21, 2*g - q = 121. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-619.6\nAnswer: 185.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2)*l*l*l*l\/(l**(1\/2)*l))**(-20))**36)**(-29) assuming l is positive.\nAnswer: l**31320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 + 5 = 0. Calculate the greatest common factor of v and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -19 (c) 0.07 (d) 0.4622\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/3 + 1\/(-3). Let m = -54 - -55. Let a be 63\/9 + m*-5. Solve -j*u + 7*b - 3*b - 10 = 0, a*b + 8 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13bad (base 15) in base 4?\nAnswer: 33132130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44548961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-120))\/(324\/288)*5.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -17, -21, -25?\n\"Answer: -4*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22232496 divided by 213774?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j + 6. Suppose -4*s + 16 = 4*s. Let o be m(s). Calculate the greatest common factor of 80 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1953868 divided by -7\nAnswer: 279124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46\/5 of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 15*f + 9. Let j(z) = -5*z**2 + 31*z + 19. Let r(u) = 3*j(u) - 7*w(u). Give r(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 1262*q + 275517.\nAnswer: -(q - 3993)*(q + 207)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 4}. Give prob of picking 3 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzczzzzzczzzzzzzcz. What is prob of sequence ccc?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, -7, -10, -2, 12 in decreasing order.\nAnswer: 12, 3, -2, -7, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 0*k - 1 + k - 4*k. Let u(n) = -n + 6. Let s be u(2). Let w be (1*-1)\/((s - -2)\/6). What is f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*r - 15, 3*q + 2*q - 13 = -2*r. Let v(f) = f**2 - f. Determine v(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3125100 rounded to the nearest ten thousand?\nAnswer: 3130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, x: 7, b: 1, s: 1}. What is prob of sequence zxx?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l + 21. What is r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7163350 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + y - 15 = -10, 0 = -2*j + y + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.051 in -24\/7, -1, 2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-144)*2\/3*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooo. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 4*x - 135. What is l(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 2473*u + 178028. What is g(-70)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211120 (base 5) in base 8?\nAnswer: 54204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, a: 10}. What is prob of sequence aaza?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 + -7 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39709739 minus 0.1?\nAnswer: 39709738.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3254, 3242, 3206, 3134, 3014, 2834, 2582, 2246?\nAnswer: 1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 8*b**2 - 6*b + 3. What is i(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3617 + 3616.99993062. Round o to six dps.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/7, 13.78, -0.96?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-77)\/44 + (-69)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(52)\/sqrt(4)*-3)**2 + ((sqrt(130) - (sqrt(130) - (sqrt(130) + 2*sqrt(130))))\/sqrt(10))**2 + -2 + sqrt(1053).\nAnswer: 9*sqrt(13) + 4327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 190.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4901 and 145522.\nAnswer: 1891786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) 0.2 (c) -4 (d) 167640\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 7701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.13 + 636.87. Let x = u + -652.5. Which is the smallest value? (a) -2\/13 (b) 3 (c) x (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1782938 - 482938. What is w rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 5529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1296, 1219, 5410, 11277?\n\"Answer: 838*x**2 + x - 2135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 14664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 2249*t**2 + 5 - 1.\nAnswer: 2249*t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60, -336, -1056, -2442, -4716, -8100, -12816?\n\"Answer: -37*b**3 - 17*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6791 to the nearest 100.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1063*y**2 + 8*y + 1060*y**2 + 3*y - y**4 - 13 to the form o + f*y**4 + a*y**3 + w*y**2 + n*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-12)*(4 + -20)\/(-4). Solve -x + 5*b = h*x + 4, 2*b = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/(-6))\/((-5)\/(-50) + 161\/690). Put -39, 3, q in ascending order.\nAnswer: -39, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {v: 6, g: 1, i: 6, d: 1, z: 1, u: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 4*s**2 + 14*s. Let m(w) = -2*w. Suppose -3*h = -6, 7*x - 726 = 2*x + 2*h. Let p = 144 - x. Determine p*d(u) - 14*m(u).\nAnswer: 2*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnng when four letters picked without replacement from nnggnnggnnggngggngn?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (630\/((-2625)\/(-25)))\/(((-8)\/2)\/(-28))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5*2241.62.\nAnswer: -5604.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -210*b**2 - 15. Let l(r) = 30*r**2 + 2. Determine -15*l(p) - 2*v(p).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -56 (c) 1\/4 (d) -5 (e) -1\/7 (f) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, -5, -78 in decreasing order.\nAnswer: 0.5, -2, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*w**2 - 2*g**3*w + 3*g**3 - 71*g**2*w - 3*g**2 - 1290*g*w**2 - 6*w**2 wrt w?\nAnswer: -2*g**3 - 2580*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) -0.4 (c) -4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 23, 100, 249, 494?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-331 - -56) + -63)*(-1)\/2 is divided by 11 - 1*(3 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4\/9 (c) -0.03 (d) -1118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aafaakffsfffffffa. What is prob of sequence afk?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 146 divided by -1\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7769 or 0?\nAnswer: -2\/7769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10.9 * 0.5\nAnswer: -5.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133565 - -133561. Let m = -6831 + 55525\/8. Let y = -110 + m. Sort 2, y, g in increasing order.\nAnswer: g, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 24237*s**2\/7 - 412023*s\/7 - 102\/7 = 0. Calculate s.\nAnswer: -2\/8079, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -3 (c) 0.162 (d) 14 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5943 and -1212.\nAnswer: 7202916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3.6. Let x = -2.6 + h. What is the nearest to -1\/2 in x, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t = 2*q - 32*t - 20, 2*q - 3*t = -28. What is the closest to 1 in -1\/9, -6\/7, q?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-5 + -5 + 9 + (9 - 14)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000071618633 to seven dps.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 1602019552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10744765 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**4 - 198*a**3 + 2375*a**2 wrt a?\nAnswer: 72*a - 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -114569.7 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p - 15 = 0. Let m(i) = i**3 + 3*i**2 + i. Let o be m(-1). Let f be ((-8)\/(-3))\/((-2)\/(-3)). Sort p, o, f in ascending order.\nAnswer: p, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -4.7. Let g = 409.603 - 409.503. Let w be (2\/10)\/(2\/6). Which is the nearest to q? (a) g (b) w (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2*u**3 - 191. Let k(g) = -2*g. Determine f(k(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -15*n**2 + 5*n + 5. Let u(c) be the second derivative of 2*c**4\/3 - c**3\/2 - 3*c**2\/2 - c. Give 6*m(w) + 10*u(w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 626 = 5594. Differentiate 35*m**2 + 34 + 1242*m - o*m wrt m.\nAnswer: 70*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(27\/2))\/(4\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 89 - (-2 - -3)*1. Suppose 0*m - 3*m + 21 = 3*o, 0 = -5*m + 5*o + 5. Let l be (-4)\/(2*(-1)\/m). Calculate the greatest common factor of k and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (2 + 5)*(-180)\/(-63)*54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 18 + 4)*(20*o - 81*o + 16*o).\nAnswer: 1035*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 + 2*l - 2. Let b be p(1). Suppose 3*y + 5*o - 25 = b, 4*o - 11 = -y + 2. Sort y, 0, -2, 2.\nAnswer: -2, 0, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 157.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -6547494 and -6547494 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 12*o**2 + o - 6. Let c be w(12). Let u be 128\/(-270) + c\/15. Let m = u + -7\/27. Is 2\/11 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Let o = t - 8. Sort o, -2\/9, 3 in descending order.\nAnswer: 3, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.25193 to 1 dp.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*s - 5*s - 2534620 = 0. Calculate the highest common divisor of 44 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, 4, 15, 30, 49, 72, 99?\n\"Answer: 2*d**2 + d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*w**3 + 115*w**3 - 62*w**2 - 224 + 156 + 62*w**2 with respect to w.\nAnswer: 831*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*t + 641 = 0, -3*d - 5*t = -4*d + 115. What is the greatest common divisor of 26 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 355, 371, 407, 469?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/(-70)*1*5. Solve -2*y + q = -0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 96 = -4. Let u = t + 31. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 4*d - 2. What is the least common multiple of w(9) and 5?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-1875))\/(8\/(-700))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 22 = -17. Let i(r) = -r**2 - 8*r + 4. Let q be i(-9). Let k = j + q. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 0*c**3 - 1 - 26*c - c**3 - 4*c**2 + 24*c. Give o(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 60*a - 572. Let x(o) = -15*o**2 - 6*o - 73. Let u(r) = 5*r**2 + 2*r + 24. Let q(n) = 7*u(n) + 2*x(n). Is q(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413 - 284. Calculate the remainder when x is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + n - 3*n)*(2 - 1 + 1 + (1 + 2 - 1)*(-1 + 0 + 3) + 0 - 11 - 2)*(4 - 2 - 4)*(2 + 0 - 4) as c*n + j and give c.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*r = -262*r. Let z = 13 - 9. Suppose 3*t - 4*t = z. Which is the second smallest value? (a) t (b) r (c) -2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*1\/(21\/(-18)). Let y = z - -8\/3. Let n = -0.3 + 0.8. Which is the second biggest value? (a) 4 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2769 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**(3\/10))))\/p*p**(-1\/4))**(-50) assuming p is positive.\nAnswer: p**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + sqrt(343) + 2))**2.\nAnswer: -42*sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 398780*q + 7951274420.\nAnswer: 5*(q - 39878)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -565 + -43559?\nAnswer: -44124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3077631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5057971t in micrograms?\nAnswer: 505797100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 2, u: 2, a: 1}. What is prob of picking 2 u and 1 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63243*q**3 - 8*q**2 - 18077*q wrt q.\nAnswer: -379458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**3 - g + 1. Determine n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 4*s. Suppose -2*k + 88 = 74. Let p(t) = -8*t**2 + 7*t. Let u(b) = k*a(b) + 4*p(b). Let h(v) = -32*v**2. Give -6*h(o) + 51*u(o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -2*s**5\/15 - 7*s**2. Let f(v) = v**3 - 8*v**2 - 10*v + 11. Let m be f(9). Let i(l) = 0*l + 0*l - l**m. What is b(i(q))?\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 8) in base 12?\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) 1 (c) 53364 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 40 = -2*q, 305*q - h - 58 = 302*q. Solve 26*d = 45 - q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -248 in -0.3, -1, 0.4, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10697371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -80*x**3 - 11*x**2 + 6*x + 26. What is the tens digit of g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**9*m*((m*m\/(m*m\/(m*m**28)))\/m*m)\/m)**(-7\/6))**(-17\/3) assuming m is positive.\nAnswer: m**(833\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -7. Suppose 3*y = 5*y + 10. Sort y, -4, d.\nAnswer: y, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24927 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09825357 rounded to five decimal places?\nAnswer: -0.09825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w - 16 + 36 - 10 - 10. Let m(t) = -44*t**2. Give m(f(s)).\nAnswer: -2156*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5393252989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -7226538.75 and 7.\nAnswer: -7226531.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1000*i - 14. List the prime factors of l(1).\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 103. Let z = -2 + 3. Suppose 0*f - 2*f = -2*g - 2, 5*g = f - 9. Sort m, z, f.\nAnswer: f, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 - 159. Let b = 2.05 + -0.05. What is the nearest to b in f, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 4030*k + 142270. Give m(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {t: 8, b: 1, f: 4}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*c - 1\/4*c**2 + 3\/2.\nAnswer: -(c - 3)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(2\/3)\/(d*(d*d\/d**5)\/d*d**(2\/11)))\/((d\/d**(-2\/7))**(-1\/30)*(d**(-2\/3)*d)**30) assuming d is positive.\nAnswer: d**(-18031\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153341349 and 2799.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 5*o**2 - 6*o - 5. Suppose 2*x + 12 = -0*x. Let p be z(x). Let s be 3\/9 + p\/15. Which is smaller: s or 1\/63?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*x + 149*x + 166*x.\nAnswer: 55*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3) - (-17 + 15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1056)\/832*(-10)\/4*(-34)\/2499 and 67\/1274.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 147 - 549. Suppose k*d = 86*d. Solve c + 2*n + 0*n - 2 = 0, -3*c + n + 6 = d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*g**2 - 723*g**2 + 2165*g**2 - 719*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.8. Let l = -0.23 - -5.23. What is the nearest to g in -2, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 5*d - 2. Let i(q) = 6*q - 33. Let n = 69 - 64. Suppose 32 = 2*x - n*w, x + w - 4 = -2. Let o be i(x). Determine k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:41 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(5 + (-2 + ((sqrt(243) - (sqrt(243) + -2))*-4 - sqrt(243) - (sqrt(243) + (sqrt(243) - 2*(sqrt(243) - (sqrt(243) - 1*sqrt(243)))))))*-4))**2.\nAnswer: 114480*sqrt(3) + 210193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.131 and 46.493017723.\nAnswer: 46.624017723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i - 294. Let u be p(14). Let f(j) = -j**3 - 8*j**2 + 3*j + 5. Let l be f(-6). Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 2*f**2 + 2*f**2 + 2*f + f**2 + 2 + f**3. Let u be 1\/5 + (36\/20)\/1. Let x(a) = a**3 - 5*a**2 + 5*a + 5. Determine u*x(s) - 5*p(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -97. Suppose -r*u = -4*u + 39. Put 3, 1, u, -7 in decreasing order.\nAnswer: 3, 1, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1000 = -3*v, 4*v + v = 0. Suppose 0 = -z + g + 97. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*h - 50, 8*h - 6*h + 42 = -4*t. Suppose s - 4*m = m - 15, -2*m = -5*s + 40. What is the lowest common multiple of 49\/4 + 2\/t + 0 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*z + 6. Suppose 2*i - 8 = -z. Factor -t**3 - t**2 - t - i*t**3 + t**4 + 5*t**3.\nAnswer: t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 - 3 + 3)*(w**3 - 1 + 1) - 6*w**5 + 25*w**5 - 11*w**5 + 2*w**5 - 8*w**5 + w**5.\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11976?\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 9:55 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:36 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 0 + 24 + -24\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-76)\/(-6)*(-15)\/(-10). What is the highest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a - 8. Let v(n) be the first derivative of 7*n**2 - 23*n - 16. Give -11*d(w) + 4*v(w).\nAnswer: w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38524590 and 3420.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j - 11. Let y(b) = b - 1. Let l(i) = h(i) - 3*y(i). Let o(k) = k**3 - k**2 + k - 1. Let n be o(2). What is l(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -427\nAnswer: -2\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5653 - -10893. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1561.804cm in meters?\nAnswer: 15.61804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/91 - 155\/260\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 10343525?\nAnswer: -10343525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312 - 309. Let x(s) = 27*s**2 - 3*s - 4. Is 10 a factor of x(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in 2\/3, -6, -1\/4, 0.1, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**11*s\/(s*s**(-2\/23)*s)*s)**35)**(2\/25))**(-1\/36) assuming s is positive.\nAnswer: s**(266\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1578 and 22.\nAnswer: 17358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.0034 + 0.064058.\nAnswer: 5.067458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 245?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*(-38)\/(-3990)*-12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 22. Suppose -21 = 5*o + s*o. Let l be (-9)\/21*2\/o. Which is the second smallest value? (a) l (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 1:34 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2350 + 3102 = 329*s - 8037 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*k**3 - 10*k**4 - 7*k**5 - 7443*k**2 - 14*k**4 + 7433*k**2 = 0. Calculate k.\nAnswer: -10\/7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58077 divided by -58077\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-2 - -1)\/(1\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 4*j**2 - 3*j + 2. Let x be (-6)\/4 + 15\/(-10). Let o be n(x). Is 4 - o\/(32\/(-12))*1948 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a**3 + 7*a**2 + 4*a - 7. Let i(h) = h**2 + h - 1. Let j(z) = 3*i(z) - p(z). Calculate the remainder when j(-2) is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -87 (c) -38 (d) -1\/3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 385 (b) -0.493 (c) -0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 153*o**2 - 5542*o - 381. Calculate k(94).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - ((-3)\/3 + 1). Solve -q*r = 2*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + 0.07. What is the third smallest value in -4, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36131 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4733113.478 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*o - 6*o - 5*o**2)*(210 + 229 - 31)*(1 + 0 - 3) in the form t + z*o + y*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/((16\/(-83))\/8) is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28504721669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 982, 10, 2, -11 in increasing order.\nAnswer: -11, 1, 2, 6, 10, 982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 34*l + x + 177, 2*x - 25 = 3*l + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 - -78.928. Let x = 0.328 - d. Put 1\/2, -7, x in ascending order.\nAnswer: -7, x, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l - 95. Let s be y(-11). Solve -2*x = -n - 0*n + 2, 5*x = -s*n - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 92*r**4 + 93*r**4 + r - 4*r**2 - 2*r**3 to the form y*r**4 + x*r**3 + z + b*r + q*r**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaw when three letters picked without replacement from {w: 3, v: 2, g: 12, a: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21307, -85575, -192671, -342589, -535323, -770867, -1049215?\nAnswer: -1370361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 5814.1952.\nAnswer: -29070.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v + 10. Let s(l) = 5*l + 3. Let z = -1949 + 1969. Calculate z*s(p) - 6*b(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165373, 661508, 1488421, 2646112, 4134581, 5953828?\nAnswer: 8103853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19764 - 19765.127. Is m >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107748\/209 or -517?\nAnswer: -517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 42 - 5 = -2*p, -4*p - 5*u + 115 = 0. Solve 7 = -x - 2*n, 0*n - 5*n - p = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 360 = -6*h. Suppose -11*k - h = -14*k. What is the hundreds digit of (135\/k)\/((-2)\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*8*12762\/(-38286)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*n - 2 = 3*n, 0 = n + 4. Suppose -d = 5*o - 0*o. Let k(h) = -3*h + 2. Let t be k(1). Is t not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**7\/2520 + 29*x**5\/120 + 99*x**4\/8 + 67*x**2. Let s(a) be the second derivative of z(a). What is s(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*g + 23, -5*c + 19 = 7*g - 5*g. Let t be g\/((-7)\/(-4)) - 3. What is the units digit of -2*(-164)\/8*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 5)*(6*p**5 + 3 - 3 + (1 - 2*p**2 - 1)*(-2*p**3 + 2*p**3 + 2*p**3) + 2*p**5 + 2*p**5 - 5*p**5).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 + -6.1. Let r = s + 10. Let n be 84\/(-90) + (-3)\/(-5). Which is the biggest value? (a) 0.3 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 3 - (22 + -6 + -8 + 33 + -3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 1 - 2*l**3 + 0*l**3 - l**2 - 2*l**2 to f + u*l**2 + z*l + q*l**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2087*b**2*x**2 - 499047*b**2*x + 2*b**2 + 2*b*x - 222*x**3 wrt x?\nAnswer: 4174*b**2 - 1332*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276864 and 19158?\nAnswer: 8582784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*w**2 + 20*w**2 + 25*w**2)*(-271*w - 29*w**2 + 271*w) to y*w**4 + l*w**2 + u*w + z*w**3 + b and give y.\nAnswer: -1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159\/5 - -65921\/2070. Find the common denominator of -11\/483 and j.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(224)*-3*4)\/((sqrt(14) + 6*sqrt(14)*-1)\/(sqrt(77)\/(-2*sqrt(11)) - sqrt(7))).\nAnswer: 288*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/4 + 5*u**4 + 35*u**3\/2 + 25*u**2 + 244*u. Factor q(k).\nAnswer: 5*(k + 1)**2*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 + 2*r - 5. Let o = -7 + 10. Suppose -t - o + 5 = -4*l, 4*t + 9 = -l. Let f(i) = i**2 - 1. Give l*y(s) + 4*f(s).\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 12. Let m be d(9). Suppose 0 = q + m*q. Suppose q = -5*s + 51 + 4. What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 688*f**2*j**2*l - 18*f**2*j*l - 30720*f**2*l + 7748*j**2*l + 2*j*l wrt j?\nAnswer: 1376*f**2*l + 15496*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 7 - 55)*(-6 + 5 - 1)*(1 - 1 - 2*u**3) as t*u + s*u**2 + y + w*u**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 7*n**2 + 12*n - 8. Let q be o(5). Suppose -q*c + 22*c - 80 = 0. Solve c*r = -0*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*w + 16*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763?\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 137? (a) 2\/7 (b) 75 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17 + -0.37. Let m be -8*(-3)\/(24\/10). Let l be 12\/55 - 4\/m. What is the third biggest value in x, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*h - 13*h + 41*h)*(2 + 1 - 4 + (2 - 2 - 1)*(-1 + 2 + 1) + (-1 - 1 - 1)*(1 - 1 - 1) - 3 - 4 + 8) + (3 - 2*h - 3)*(-5 + 5 + 1) as y*h + v and give y.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 18*w - 7*w**2 - 17*w + 2 - 5)*(2 + 0 + 2).\nAnswer: 4*w**3 - 28*w**2 + 4*w - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77500798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 5 + 5)*(160467*x**2 - 160666*x**2 - 2 + 1).\nAnswer: 199*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.344 * 0.03\nAnswer: -0.01032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 4*z**2 + z**2 + z**4 + z**2 in the form x*z**3 + h + n*z + b*z**4 + t*z**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d**2 + 3*d**2)*(-d - d**2 + 0*d**2 + 0*d**2).\nAnswer: -4*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 3) + 24 + 0. Let u be (3\/5)\/(5\/l). Let y(q) = -q**3 + 2*q**2 + 3*q + 4. What is the units digit of y(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4 - 107195*h**2 + 80886*h wrt h?\nAnswer: 12*h**2 - 214390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*((q*(q**(-4\/19)*q)\/q*q)\/q*q)\/q*q)*q)\/((q\/(q*(q*q**(-1\/14))\/q))\/q))\/(q*(q**(-4\/11)\/q)\/q*(q*q\/(q\/(q*q**6*q)))\/q))**(-39) assuming q is positive.\nAnswer: q**(741429\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 15*m**2 - 35*m - 15. Let q be k(-17). Find the first derivative of -7 + 10*w**q - 15*w**2 - 20 wrt w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 less than -22770871?\nAnswer: -22770870.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339551 is divided by 469.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/26*299\/69?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9999 is divided by 4994?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2467 and 202294.\nAnswer: 202294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3 - 2485*g**2 + 12580*g + 15060 = 0.\nAnswer: -502, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 557 + -509. What is the smallest common multiple of g and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.5 (c) 26\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378141 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 338 + 330 = 5*v, 5*a + 3*v - 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 71569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 11. Let d be u(8). Let n be (14\/(-21))\/(8\/d). Solve 1\/4 + n*k**2 - 1\/2*k = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112422 (base 5) to base 12.\nAnswer: -2468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14949762 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8, 5*z = t + 4*z + 4. Let n be 12\/(-8)*t\/(-119). Let g = -2\/17 + n. Which is the biggest value? (a) -4\/7 (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 70921*w + 3.\nAnswer: 70921*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*l**2 - 72*l**2 + 193*l**2 - 157*l**2 - 38*l**2.\nAnswer: -164*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -192491\nAnswer: -3849.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9698517 millennia?\nAnswer: 96.98517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4020, 8668, 16422, 27288, 41272, 58380, 78618, 101992?\nAnswer: 128508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/4 + 67\/4. Suppose 4*m - 2*m = -3*u + 46, 74 = 4*m - 3*u. Suppose -4*t = -2*a - 3 + 9, -5*a + m = -5*t. Solve a*f - f = -r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3\/7 + 3412*b**2\/7 + 1458624*b\/7 + 2903616\/7 = 0?\nAnswer: -852, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1021 = -16*a. What is the highest common divisor of 96 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4832 at least as big as -4833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpbt. What is prob of picking 1 p and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -34. Suppose l + 94 = j - f*j, 4*j = -3*l + 341. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 588 = 5*d, 4*g = -4*d + 2*g + 468. Suppose 2*z - 4*m - 9 - 53 = 0, 2*m = 2. Calculate the remainder when 59 is divided by (d\/6 - 22\/z) + 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2097 - 5181 = -105*p - 372*p + 831 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*m - 8 - 10, 5*h = -10. Let b(n) = -n**2 - 5*n + 5. Give b(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j + 146*j + 1060 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 4502293?\nAnswer: 42\/4502293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 10*v + 5*v + 26*v - 11*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7378864*z**5 - 6*z**3 + 28367601*z**2 + z wrt z.\nAnswer: 442731840*z**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030576 to three decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-26)*(-2)\/(-7)*3\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.19 - 3.19. Let l be 4\/18 - (-288)\/(-567). Which is the nearest to l? (a) 2 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:43 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202617 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/3)*i**(-17))**35)**(14\/3) assuming i is positive.\nAnswer: i**(-23030\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f**3 - 4*f - 3. Let h be q(-1). Suppose 6 + h = 3*d, -260 = -4*g - 4*d. Calculate the remainder when g is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 240. Let d = -121.35 - q. What is d rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five sixths of a week?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015446 to five decimal places.\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*v + 17, 2 = -3*x - 5*v - 7. Suppose x*n = m + 48, 22 = n - 0*n - m. What is the remainder when 129 is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Suppose 5*g = -5*u + 230, -1 = -q*g - 9. Suppose -55*i + 384 = -7*i. Calculate the highest common factor of i and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -575441 divided by 3\nAnswer: -575441\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1530 divided by 51\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572753 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 697?\nAnswer: 697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110111 - 11?\nAnswer: 10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:47 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1613 in 1\/5, 2\/9, 2, 1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 3*w + 10. Let q be l(4). Suppose -229*v + 225*v = -72. What is the highest common divisor of v and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/24*-2)\/(315\/(-189))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111 (base 2) to base 8.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 46 = -2*t. Let f = t - -8. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21288062 or -21288071?\nAnswer: -21288062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3546.9 - -3547. What is the closest to 0.2 in x, -0.154, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-164074)\/(-6) - 5)*6\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 186521 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l**2 + 332*l - 122. Calculate f(-26).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132)*2 - sqrt(132) - sqrt(132))*5)\/(sqrt(12) + sqrt(132)\/(sqrt(33)\/sqrt(3))).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*y + 17, 15 = 12*y + 64*q - 65*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1889*k**3 + 152*k**3.\nAnswer: -1737*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/14 and (-1 - (-30)\/34) + 632\/(-2720).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -2892c6?\nAnswer: 2892c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (0*4\/(-16))\/(12 + -11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s + 5. Let u be j(0). Let q(y) = y**2 - 2*y - 11. Let w be q(u). Solve 0 = -w*k - 0*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -606*i**2 + 7*i + 99 wrt i.\nAnswer: -1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by 3.\nAnswer: -172\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8150072.\nAnswer: 2, 7, 17, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 11*a - 23 to the form s + y*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3715.\nAnswer: 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 564972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let q = -0.289781 + 31.289781. Put w, -2, q in ascending order.\nAnswer: -2, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -669+-75.624\nAnswer: -744.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 239432440 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162520858 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 62?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 223168.74 nanoseconds?\nAnswer: 0.000003719479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 13*h**2 - h - 9. Let m be q(-13). Suppose 4*n - m = 3*n. Solve 0 = -3*p - n*g - 22, 2*g + 18 = -5*p - 0*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 7*n - 4. Let o(u) = -5*u**2 + 29*u + 16. Let t(h) = -9*g(h) - 2*o(h). Let s = 5 + -10. What is the units digit of t(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11*q - 66 = -9*q, -18 = -2*b - 4*q. Calculate the least common multiple of b and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**4 + 105*h**3 - 685*h**2 + 1395*h - 810 = 0. What is h?\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*w + 20 = 0, 5*k + 4*w = 10*k - 20. What is the smallest value in -3\/2, 0.4, 104, k?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y = 35. Solve -2*h + y*h + 20 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 2 - b + 4)*(-3*b**3 - 4*b**3 + 4*b**3) as l*b**2 + s + c*b**3 + j*b**4 + z*b and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 z, and 1 a when four letters picked without replacement from {z: 6, x: 2, a: 6, h: 2, y: 3, q: 1}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 2463.60943\nAnswer: 2463.70943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -18*n + 20. Let d = 30059 + -30051. Give w(d).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 4*l**2 - 4*l - 2. What is c(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -35 - 31*k + 20 - 43 + 31*k + 14*k. Let q(u) = -2*u**2. Calculate q(z(a)).\nAnswer: -392*a**2 + 3248*a - 6728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/9894 and -79\/33174?\nAnswer: 563958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10869825 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/30 + (-31962)\/1260*3 - -11\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -26*f**2 + 112*f - 21. Let d(i) = 75*i**2 - 336*i + 56. Give -8*a(t) - 3*d(t).\nAnswer: -17*t**2 + 112*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1091 or 6.24?\nAnswer: 6.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 17913?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + (-9)\/(108\/(-24)). Let a(o) = -6*o - 42. Give a(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18116 = -2*m + 18154, 0 = 2*m - 20*i - 36402. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - j**4 - 233*j**2 + 111*j**2 + 129*j**2 to m*j**2 + t*j**3 + q*j**4 + n + r*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -102*c + 1. Let f(u) = 207*u - 2. Calculate -3*f(w) - 7*q(w).\nAnswer: 93*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/6*(-8)\/6. Suppose 2*h + 4*t - 30 = -d, -2*t + 80 = 4*h. Let s = -6772\/7 + 974. Calculate the common denominator of s and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1838*k**4 - 3*k**3 + 2*k**2 + 5118 with respect to k.\nAnswer: -7352*k**3 - 9*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/278433 and 33\/32607598.\nAnswer: 293468382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - q - 9. Let j be g(0). Let w be (-1456)\/(-72) + 2\/j. Solve 2*i = -2*i + w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*t + 43, 14 = -q - 3*t + 4*t. Let j = 21 + q. Suppose 4*f = -5*i + 1, -5*i = 5*f - 2*i - 11. Are j and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3957221.\nAnswer: 67, 59063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.3, -1\/7, -2\/17, 1, 2\/5.\nAnswer: -1\/7, -2\/17, 2\/5, 1, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*t**2 + 35*t + 33*t**2 - t**4 - 153*t + 54*t wrt t?\nAnswer: -12*t**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6545527029\/9258323 - 1770\/67579. Let t = -707 - k. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -108, -172, -236, -300?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 = -8*u + 11*u. Let k = u - 588\/5. What is the nearest to 0.1 in k, 0.09, -0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1223*p**4 - 1233*p**4 + 0*p**3 + 7*p - 2*p**3 + (2*p**3 + 0*p**3 - 4*p**3)*(6 - 2 - 6 - 6*p).\nAnswer: 2*p**4 + 2*p**3 + 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 44*y - 365. What is the lowest common multiple of 6 and w(10)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2646.816t?\nAnswer: 2646816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 5*h**2 + h. Suppose 0 = l + 3*c, 0*c - 6 = 2*l + 3*c. Let w be j(l). Differentiate 10 - 2 - w*q**4 + 8 with respect to q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/20)\/1)\/(1\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r = -24*r. Which is the closest to r? (a) -0.2 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**8\/168 - 17*l**7\/21 - 127*l**4\/3 - 1184*l**2. Find the second derivative of m(p) wrt p.\nAnswer: -40*p**3 - 2040*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 3*h**2 + 13*h - 2. Give a(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - -41319 - 6)\/(1 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-24)\/(-84))\/(3\/14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {o: 2, h: 5, z: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23023\/644)\/(11\/(-4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000996335 rounded to 6 decimal places?\nAnswer: -0.000996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0\/(-3))\/1. Let j = 50 + -45. Solve j = -l*f - f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*s + 126, s - 126 = -8*j + 5*j. What is the highest common factor of j and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t - 4043 = -2*g, 4*g - 3*t = 8077. Suppose 2*i = -0*i + g. Is (-3)\/(i\/254 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*w + 33 - 33)*(0*w + 3*w - w) - w + w - 2*w**2 - 2*w**2 - 3*w**2 + 3*w**2 to the form c + d*w + o*w**2 and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 11*z - 20. Let k be j(-9). Let x be (1\/k)\/(-2 - 10\/4). Sort -1, x, 0.3, -5\/8 in decreasing order.\nAnswer: 0.3, x, -5\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 6. Let v be t(-4). Let u be 38 + 2 + 1*(2 - 4). Let z = u - 26. Solve z = -4*o - g, 2*g = v*o - 2 + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1177 - 15616?\nAnswer: -14417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Suppose 2*r - 3*x + 29 = 0, -48*r - x - 47 = -43*r. Determine v(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkikkkiakk. Give prob of sequence iiak.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2881, 2703, 2405, 1987, 1449, 791, 13?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -9\/4 (c) 839 (d) 0 (e) 2\/9 (f) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2. Let a(x) = -11 - 4 + 36*x**2 + 0*x**2. Let p(q) = 3*q**2 - 10*q**2 + 2 - 9*q + 2*q**2 + 9*q. Let w(v) = 2*a(v) + 15*p(v). Give w(i(m)).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 85054861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4043497 divided by 68\nAnswer: -4043497\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665328588 is divided by 173.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + -2 + (4 - -13) + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c. Let b(q) = 19*q**2 - 2*q. Determine j(b(y)).\nAnswer: -57*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-14)\/p)\/p*p)\/(p\/(p\/(p\/(p**(-2\/55)*p)))))\/(p*p*(p*(p**(-14)\/p)\/p)\/p)**(-9\/10) assuming p is positive.\nAnswer: p**(-304\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 855 or 4\/3?\nAnswer: 855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f. Let v(d) be the first derivative of -3*d**2\/2 + 80*d + 755. Determine v(g(y)).\nAnswer: 6*y + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6065 and 1\/2426.\nAnswer: 12130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*x + 2*m = 102*x - 6, 2*m + 20 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 286*y - 2691. Determine b(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92180 divided by 459?\nAnswer: 92180\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -y - 4*y. Suppose 2*d + 1 = y*d. Let m = 3 - d. Is m >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 - 3. Suppose 9*n - 120 = -174. Calculate p(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4097*3\nAnswer: -12291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r + 4. Let m(x) = 4*x - 1. Let h(b) = -7*m(b) - 2*p(b). Give h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1429, -1422, -1411, -1396, -1377, -1354?\nAnswer: -1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -927 + 957. Suppose -2*r = 2*w + 6, 0 = -r - 0*w + 2*w. Is r greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*f + 153720 = -19*f. What is the smallest common multiple of f and 216?\nAnswer: 13176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3)\/(47\/((-94)\/(-20))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q. Suppose -19 = 2*o + 5*s, 4*s + 24 - 6 = -3*o. Let r be y(o). Let h(x) = -2 + r - 4*x**2 + 7*x**2. Let b(v) = 7*v. Determine b(h(f)).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in years?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(((t\/t**(3\/8))\/t*t)\/t))**(-25\/4)\/(t**(3\/8)\/(t**(-2)*t)) assuming t is positive.\nAnswer: t**(-519\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(-1 - 1 + 1) + 3 - 11 - 2 + 4 - 3 + 0)*(41*g - 2*g - 11*g).\nAnswer: -196*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -80 + (23 - (-20 - (-21 - 26)))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/u**(1\/6))\/u)\/u)\/((u\/u**(-9\/5))\/u))**(2\/15) assuming u is positive.\nAnswer: u**(-59\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356a95 (base 12) to base 2.\nAnswer: 11010010011110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 674*j**2 + 0*j**3 + 4*j + 8 + j**3 - 667*j**2. Give n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -464794*k + 464759. Give d(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1201*a**3*j - 97*a**3 + 2*a**2 wrt j.\nAnswer: -1201*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.25 - 18.25. Let i = r - -18. Suppose -4*k - 5 = -5*k + 3*x, -k = 2*x - 5. Which is the second biggest value? (a) -0.8 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0648 rounded to two dps?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-299)\/(23\/(-1))*(-4300)\/(-559).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, a: 2, i: 1, f: 9}. What is prob of picking 1 i and 1 a?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5933650?\nAnswer: 2, 5, 118673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 2*m - 2*m)*(0*m**3 - m**3 + 17*m**3 + 6*m**3 - 2*m**3 - 2*m**3 + (4 - 1 - 4)*(0*m + m**3 + 0*m)).\nAnswer: -102*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/201 and -80\/21?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/33 + 1339575\/275 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60, -240, -530, -924, -1416, -2000, -2670, -3420?\n\"Answer: j**3 - 61*j**2 - 4*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60327 (base 9) to base 7.\nAnswer: 223360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32329162, 32329160, 32329158, 32329156, 32329154?\nAnswer: 32329152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2274 + 73393\nAnswer: 75667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 58. Let p be u(10). Solve -5*f + f + p = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.1117 rounded to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -5*o**2\/2 + o + 6. Calculate f(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x**2 + 2*x + 2. Let s be w(-2). Let f(l) = -2*l**3 + 5*l**2 - 4*l + 4. Let d be f(s). Suppose d = 4*z + z - 220. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11958 + 24812. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 minus 2.6?\nAnswer: -542.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, 0.5, 0.2, -2\/5, 1.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = -16. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = 3*y, 4*w - 9 = -4*y - 1. Let d(r) = -r**2 + w*r + 0*r. Let i(n) = 2*n. Calculate i(d(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4270 - 1547 = 277*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -167*x - 5. Is v(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*n - 139300 = -189*n. Round n to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 g when four letters picked without replacement from {w: 2, l: 1, g: 3, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiwujzzwvujuiz. Give prob of sequence vi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-10 - (-24 - -12))) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*21\/14*14\/(-2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2792 divided by 2\nAnswer: -1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93\/2 - -48. What is the nearest to 3 in 0.3, m, 0.02?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u - 19. What is the tens digit of t(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(448) + 1)**2 + sqrt(448) + (sqrt(448)*-5*-5)**2 + -4*((0 + sqrt(448) + 0)**2 - (4 + sqrt(448)*2)).\nAnswer: 88*sqrt(7) + 278675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(80\/6)*(-19)\/(969\/85)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 5, -17, 12 in ascending order.\nAnswer: -17, -5, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 13. Let o be u(-4). Let a be 48\/o*(-24)\/(-16). Solve w + a = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(44) + sqrt(44) + 2 + -5)**2 + -2.\nAnswer: -24*sqrt(11) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u. Let c be n(22). Suppose -3*w + c = 5*g, -4*g - w + 264 = -2*w. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4426, 8867, 13348, 17887, 22502, 27211, 32032, 36983?\n\"Answer: 3*r**3 + 2*r**2 + 4414*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**3 + 191676067*t**4 - 191676065*t**4 - 1323*t - 4843*t**2 - 5*t**3 wrt t?\nAnswer: 24*t**2 - 6*t - 9686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827400843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -2, 1, 2 in increasing order.\nAnswer: -2, 1, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 93*t - 3629. Calculate f(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -91 + (-1340145)\/(-7614) + -85\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42\/5 in 0.1, -0.9, 6, 0.41, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.006?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 66483088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 8 = 4*l. Let n(d) = 2*d**2 + 3*d - 5. Let x be n(l). What are the prime factors of 4\/6*(x + 0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2525 = -59*d + 64*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:29 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccmrrrr. Give prob of picking 2 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7056355 divided by 5?\nAnswer: -1411271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 18*v**2 - 16*v - 13. Let q be r(17). Solve 2*y = -5*x + 1 + 6, -5*x + y = -q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67117 divided by 3996\nAnswer: -67117\/3996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1732 (b) -0.5 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 4, n: 1, k: 5, f: 3, z: 4}. Give prob of sequence fk.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/2*(-9)\/(9\/3). Solve o*r - 4 = 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - o - 3*o. Let z(r) be the third derivative of -r**5\/30 - 10*r**2. Give z(m(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 32*y**2 - 38*y - 168. Calculate x(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 10*r**2 + 4*r + 1. Let l(d) = d**3 - 11*d**2 - 3*d - 1. Let w(c) = 5*i(c) + 4*l(c). What is the units digit of w(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.08 + -0.08. Let z = j + -2.8. Let i be 80\/(-60)*(-18)\/(-64). Which is the third biggest value? (a) z (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n + 51. Calculate s(-11).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 17 = -4*g, 3*g - 833 = -830 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163613 = 5*i + 4*u, -4*u - 96875 = -4*i + 34073. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(833) + -1) + 0 - (-2 + sqrt(833) + -1 + -1*sqrt(833)*-6)**2.\nAnswer: -40824 + 280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*o**4 - 591*o**3 + o + 1186 wrt o?\nAnswer: -888*o**2 - 3546*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*35\/(-84)*36\/12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 p when four letters picked without replacement from {r: 4, v: 5, p: 7, w: 2}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q = -0*q + 279 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*sqrt(12)\/sqrt(4).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/142 - -35\/71. Let c = 0.2 - 1.2. What is the nearest to b in c, 1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 34?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 - -0.0532641?\nAnswer: 205.0532641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5824*t**2*z**2 - t**2*z - 231*t**2 - 911*t*z**2 - 7985*t wrt t.\nAnswer: 11648*z**2 - 2*z - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*c = -745468 - 253068, -2*d - 5*c = -499282. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1534, -6312, -14320, -25558?\nAnswer: -40026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2944 and 16928384.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y - 20 = 239. Let s(l) = -10*l**3 - 5*l + 4. Let w(r) = 19*r**3 + 9*r - 7. Determine y*s(d) - 4*w(d).\nAnswer: -6*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + v + 3*v**2 + 0*v**2 - 2*v - 225604 + 225366.\nAnswer: -v**2 - v - 238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 = -8. Let q be 70\/i + 18\/27. Suppose -h + 26 = 4*f, -2*h = -h + 2*f - q. What is the remainder when 65 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.19 - -7.81. Let z = -13 + u. Let y be (-8)\/44*(1 + -2). Which is the second biggest value? (a) z (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 12*f - 31. Let k(q) = 2*q**2 - 12*q - 31. Let l(t) = -2*k(t) + 3*m(t). Let z be l(-7). Let w = 9 - 12. Put w, -2, z, -5 in increasing order.\nAnswer: -5, w, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3107522?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30574728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) 10 (c) 5 (d) 0 (e) -571\/25 (f) 0.4 (g) 6\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-170)*16\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -0.3 (c) -13 (d) 1\/11 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/28 and -55\/305078.\nAnswer: 4271092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 times -147\nAnswer: 45.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 7*b**2 + b**2 - 4*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 7*c + 31 = -4*y + 2*c, -32*c = -4*y + 83 + 125 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0559266 + -0.063818. What is p rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5 - 214*b**4 - 6962*b**3 - 66946*b**2 - 231428*b - 247408 = 0?\nAnswer: -47, -7, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -66, -76, -90, -108, -130?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -343 - -464. Suppose -4*a - 3*r + 125 = -124, r - 193 = -3*a. What is the remainder when z is divided by a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1 - -2) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247089 is divided by 118905.\nAnswer: 9279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9*r\/(r\/(r*r**(1\/7))) assuming r is positive.\nAnswer: r**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16972 - 16972.0036112. Round f to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 31 = 3*o, -5*u + 261055*o - 261056*o - 15 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -2*o, -3*o = -2*v - 5. Which is the fourth biggest value? (a) -0.8 (b) v (c) 5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 1. Let y be v(1). Suppose 0 = 5*n - 3*o + 332, y*o + 312 = -0*n - 5*n. Let d = n + 93. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 8, -2 in increasing order.\nAnswer: -5, -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.054, 0, 4\/205, 2, 3\/5, -0.1 in descending order.\nAnswer: 2, 3\/5, 0.054, 4\/205, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/12*1*2\/(-12). Let l(d) = -2*d + 3. Let m be l(3). Which is the smallest value? (a) 3\/5 (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278*v**2 - 97*v**2 - 92*v**2 + 43*v - 95*v**2 to the form u + w*v**2 + r*v and give r.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 186*d - 1909. Let u be f(-10). Solve -26*p = -u*p - 75 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 divided by -1?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*y - 1786 = 713*y - 167467 for y.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -719746 divided by -5?\nAnswer: 719746\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 8 = 0. Solve -n - 3 = -h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*j - 4, 2*j = -j + 5*s - 3. Let h = j - 16. Let i = h + 42. Solve 3*w - 5*k - i = 4*w, 0 = -5*w + 5*k + 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -83, -0.2, -4\/7, -0.149?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -220210?\nAnswer: -220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 2*b**2 + b + 1. Let z(y) = 7*y**3 - 8*y**2 + 10*y + 5. What is 3*o(h) - z(h)?\nAnswer: -4*h**3 + 2*h**2 - 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 29.78. Let m = 0.42 - j. Let g = -0.8 - m. Which is the biggest value? (a) 2 (b) g (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 + 4 + 3*a**2 + a**2 - 3*a**2. Let n(x) = 6*x**2 - 3. Let k(m) = -5*n(m) - 4*t(m). What is the first derivative of k(w) wrt w?\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 18. Let w be l(8). Is (w + 36)*(-1 + 2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 0. Suppose -q = -c - 6, 4*q - 3*c - 32 = -v. What is the highest common divisor of 24 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25919666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 999 and 255057.\nAnswer: 256056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, and 2 u when four letters picked without replacement from {i: 8, u: 2, b: 3}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.6 + 45. Which is the second smallest value? (a) y (b) 0 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105595848.\nAnswer: 2, 3, 617, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 12 = 5*j, 3*v = -119*j + 123*j + 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 640*j**2 + 640*j**2 + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-54)\/(-6))*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 57 = -0*m. Suppose 0 = 5*p - 61 - m. Calculate the highest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 8, r: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-1)\/(-3) - 0). Suppose -15 + 60 = b*q. Suppose 4*f - w = 3*w + 132, -2*w - 156 = -5*f. Calculate the highest common divisor of f and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31060 and 7?\nAnswer: 217420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.1, -177, 0, -3199\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*b - 38, -7 = 4*k + 5*b - 30. Suppose 3*f = -2*y + 48, 2*y + 146 = k*y + f. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 10:54 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 204\/(-33) + 3. Suppose -17 = -k - 4*a - 4, 4*k - a = 1. Which is bigger: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1eae?\nAnswer: 1eab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 3*b**2 - 3*b - 5. Let j be m(4). What is the third biggest value in -0.16, j, -1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 19 + 16 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 9) to base 4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 35*s - 71*s + s**2 + 22*s. Let v be o(14). Suppose -4*z - 4*g = v, -4*g = -3*z - 3*g + 4. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650278539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - y + y**5 + (4 - 3 + 1)*(-2*y**5 - 3 + 3) + y**4 - y**4 + 2*y**5 - 2*y**5 - y**5 + 2*y**5 + (-y**3 - 2*y**3 + 2*y**3)*(-162*y**2 - 1040 + 1040).\nAnswer: 160*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -363, -784, -1203, -1620, -2035?\n\"Answer: l**2 - 424*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -111*t**2 - 230*t + 22. Let m be x(-2). Suppose 2*k - 158 = 2*u, k + 3*u + 161 = 3*k. What is the greatest common divisor of m and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62400, -62513, -62626, -62739, -62852, -62965?\n\"Answer: -113*p - 62287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 11:25 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 u, and 1 d when four letters picked without replacement from {u: 9, b: 2, d: 1, f: 2}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0)*(-6*h - 4*h + 3*h + (2*h - 1 + 1)*(3 + 0 - 2) + 2 - 3*h - 2 + 3*h - 4*h + 0*h) + 5 + 4*h - 5 to the form n + j*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -75 - 30. Suppose -78 = -3*d - 3*p, 3*d + 5*p - 82 = -0*p. Let w be h\/6 + -3 - (-4)\/d. What is the biggest value in w, 5, 0, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 9*w + 63. Let n(h) = -2*h. What is v(n(b))?\nAnswer: -8*b**2 - 18*b + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 10:49 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 730 - 55*c**2 - 48*c**2 - 46*c**2 - 4*c + 140 + 154*c**2 wrt c.\nAnswer: 10*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*c + 872*c - 234 = 292 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-14)*(d**(2\/35)\/d)\/d*(d*(d**(-7)\/d)\/d)**(15\/4) assuming d is positive.\nAnswer: d**(-1573\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 819 and 909?\nAnswer: 82719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 721417467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 9*t - 10. What is h(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 1. Let c(s) = -6*s + 2. Let h be (3\/((-12)\/(-5)))\/((-810)\/3240). Calculate h*r(i) - 2*c(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 623\/(-35) - (-48)\/30*6\/12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + d - 4, 2*l + 7*d + 10 = 38 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/81 + (-20)\/(-9). Suppose -q - h = -5. Find l, given that 0 - 56\/5*l**2 + 98\/5*l**q + 8\/5*l = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66835*m = 64146*m + 198986 for m.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*o + 93*o - 2123 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3078035721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 5*h**3 - h**3 + (3*h**2 - 5*h**2 - h**2)*(-h + h - 4*h) + 3*h**2 - h**3 - 3*h**2 + 5 + 4*h**3 - 5 + h**3 + 3 - 3.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -13. Let s = d - 5. Sort 2\/11, 4, s.\nAnswer: s, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*j + 38*j - 45*j)*(2 + 0 - 4) to the form a + m*j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39027 from -0.16562168.\nAnswer: -39027.16562168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7954846313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2)*(-159)\/(-477))\/(7\/21).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = -3*o - 4*g + 207, 44*g - 41*g + 21 = -6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3317 - 3315. Let d = 7.03 + -7. What is the smallest value in d, n, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2010228 minutes to hours.\nAnswer: 0.00335038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 84*g - g**2 - 84*g. Let r(z) = -6*z + 2. Give r(j(t)).\nAnswer: 6*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/26 - 196\/(-91). Put -5, h, -1 in increasing order.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7013.26 rounded to the nearest 100?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (69\/(-46))\/((-1)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -98*u + 1. Let s be p(-1). Let f = 229433\/18 + -12751. What is the common denominator of f and (2\/(-12))\/((-2)\/s)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -2. Let u = k + 11. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30 and -70?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 16, 3, 5, -8.7, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*x + 60264 = 1386*x - 232*x for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 8*d**3 + 14752*d**2 + 44202*d + 33138 = 0.\nAnswer: -1841, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -193?\nAnswer: -77.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/10, -738, 0.4, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 114.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**3\/3 + 1106*h**2\/3 - 80421*h + 2595450 = 0.\nAnswer: 39, 242, 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -491996*y**3 + 2*y**2 - y + 5211?\nAnswer: -2951976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2636 + -0.249?\nAnswer: -2636.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -22. Suppose h*c + 5*c - 15 = 0. Suppose x + x = 20. Solve -5*d - 15 = -2*q + x, q = c*d + 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 2*k + 3. Let y be b(3). Solve 2*m + 4 = -y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 136*s - 135*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*g - 5*g = 23, -5*t - 4*g = -13. Suppose -31*l = -29*l - 6. Suppose -v = -4*h - l*v + 134, 2*v = t*h - 163. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 4*n + 16, 2*r + 5*n = -18. Let a = -92172 + 12258707\/133. Let q = 16\/19 + a. Are q and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/42 + 14\/(-49))*-4. Let p be ((-15)\/(-140))\/((-4)\/(-14)). What is the nearest to y in -1, p, 2\/19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 8. Let z(k) = 425891*k. Calculate r(z(t)).\nAnswer: -425891*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(sqrt(208) + 1) - (2 + sqrt(208) + sqrt(208) + (sqrt(208) + -1 - sqrt(208)) + sqrt(208) + sqrt(208))**2) + 5 + 0 + 1.\nAnswer: -3321 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 708 and 2596.\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 8 - 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - 2*j - 3 + 1 + (1 - 3 + 1)*(1 - 1 - 2*j) - 2*j + 4*j + 0*j + 1 - 1 + j + 34*j - 19 + 19 to w*j + m and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 464, 690, 910, 1124?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 26*w**2 + 27*w - 50. Let k be m(25). Let g(x) = 25*x + 8751. Is g(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 12 + (2066 - 2087)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2303, 2250, 2197, 2144, 2091?\nAnswer: 2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -100*x - 27. Calculate h(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 31*d - 1550 = 0. Is d smaller than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwm when three letters picked without replacement from {m: 5, w: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(6\/5)\/((v\/v**(2\/9))\/v))\/(v**(-5)\/v)**(6\/7))**(4\/17) assuming v is positive.\nAnswer: v**(8272\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*u**4 + 7*u**2 + 747*u + 57.\nAnswer: 3336*u**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1370465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 544471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9937*h*r**3 + 2043*h + 2*r + 1 wrt r?\nAnswer: 59622*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tutut. What is prob of sequence tut?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -563 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - (275 - (124 + 8)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 34*y**2 - 4*y - 10. What is the units digit of m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47\/1 - 48\/(32 + -16) and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13131 * 1.7.\nAnswer: 22322.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-1029)\/(-126)))\/(-3*(-7)\/(-784))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*l - 176*l + 84*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/16*(-168)\/(-45) - (-80 - -83). Put -0.1, x, 9\/10, -2\/11 in descending order.\nAnswer: 9\/10, -0.1, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 81796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 2*c - 2*c)*(c**2 - 4*c + 4*c) + 3*c**2 + c**3 - 3*c**2 + (2*c**2 + 2*c**2 - c**2)*(-3*c - c + 9*c) as r*c**2 + k*c**3 + n + u*c and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 798 + -661. Calculate the remainder when w is divided by 67.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*-1)\/(sqrt(55)\/sqrt(180)) + ((sqrt(110) - -2*sqrt(110))*6 + sqrt(110))\/(sqrt(40)\/(sqrt(16)\/sqrt(4))).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 129, 302, 555, 894, 1325, 1854, 2487?\nAnswer: 3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2 - 13*j + 1 - 2*j + 0*j + j. Suppose 0 = 5*n - 1 - 4. Give c(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 26 - 21*d + 9*d + 11*d. Is z(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5597*c**3*h**3*q**2 - 2*c**3*h**2 - 3*c**3*h*q + 105*c*q - 260*h**3*q**2 + 123*h**3 - 2*h*q wrt q.\nAnswer: 11194*c**3*h**3 - 520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 38178 divided by 6\nAnswer: 6363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*z + 6198, 0*k = k + 4*z - 2075. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f = 0. Suppose -2*u = b, 3*u - b - b = f. Suppose u = -z + 4*z - 165. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (-7 - (-9 + -1 + 154 + -138))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*u + 3*v, 4*v + 0*v = -2*u + 20. Suppose u*s + 3*w = 12*s - 542, 2*w = 0. List the prime factors of s.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 42*y**2 + 5*y - 2 + 0 - 2 + 3 in the form u + v*y**2 + o*y and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 58*a - 18. Let f be z(18). Are 381\/7 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 1 + 2\/(-10) - (-720)\/1575*7?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 146783\/585 + 1\/(-9). Let o = -250 + v. What is the second biggest value in o, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = -j, -5*j + 3*d - 2*d + 15 = 0. Find the second derivative of 2*b**2 + 5*b**2 - 2*b**2 - 3*b**2 - j*b wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001989 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2. Let r(z) = 66*z. Let i(p) = 133*p. Let f(x) = 2*i(x) - 5*r(x). Determine w(f(d)).\nAnswer: -4096*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-20)*690\/(-322)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -132132?\nAnswer: -132121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00154648 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4702, 0.8, 2\/121, 10?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -195 - -194.88. Let p = z - -0.32. Suppose 0 = -4*l - 3*u + 36, 4*u - 18 = -4*l + 2*l. Is p bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6704 and 16?\nAnswer: 6704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 + 3*a**3 - 13*a**3)*(0 + 2 - 3) + 12*a - 4*a - 125*a**3 + 124*a**3 + 2*a**2.\nAnswer: 3*a**3 + 2*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o**3 - 1\/9*o**4 - 26*o**2 - 7\/540*o**6 + 0*o + 1\/945*o**7 + 8\/135*o**5 + 1. Let x(q) = 0. Calculate q.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 78*a - 77. Let l be j(-77). Sort -3, l, 3, 1, -4.\nAnswer: -4, -3, l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 14. Let x(i) = 7*i**2 + i + 2. Let h be x(q). Suppose 2*d = 4*j - 834, -5*d + d = 2*j - h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2286573172 less than or equal to -2286573172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 10105?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Let f(q) = 27*q**2 + 3*q - 12. Let g be f(b). Suppose -17*j + 14*j + g = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, -3\/4, 2.4, 0, -111361?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 36\/20) + 2. Let a(q) be the first derivative of -1 + 0*q**3 + 0*q**2 - 2*q - p*q**5 + 0*q**4. Differentiate a(k) with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 - 256 - 385717560*w + 385717565*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53351 - 30?\nAnswer: 53321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -99, -236, -501, -936, -1583?\nAnswer: -2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + -1))**2 + (sqrt(65)\/(sqrt(5)*-2))**2 + (sqrt(117)*1)\/sqrt(9)*3.\nAnswer: 17\/4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 9. Let s be x(6). Suppose 41 = 4*w - s*w. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 752 - 484. What are the prime factors of m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 - 6*m**2 - 144*m\/5 - 152\/5.\nAnswer: 2*(m - 19)*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f, -18 = -2*a - 3*f. Let l(k) = -k**2 + 8*k + 5. Calculate l(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -228 + 233. Solve h + p*n - 21 = n, 5*h - 2*n = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = 0, -3*h = 2*d - 56 + 19. Let n be (h + -3)\/(3\/24). Suppose 10 = 5*w + n. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.057 + 24.157. Which is the closest to -180? (a) x (b) 5 (c) 4 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2130781 divided by 222?\nAnswer: -2130781\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -534?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1964, -3877, -5802, -7745, -9712, -11709, -13742?\nAnswer: -15817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - p - 967 = 0, 3*p + 825 = 5*r - 788. Suppose 5*k = r - 22. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11718814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5292\/144*(-47)\/(5264\/(-192)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -317.5 (c) -2\/3557 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rreu when four letters picked without replacement from {z: 1, u: 1, r: 5, y: 3, e: 2}?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3360 is divided by 69.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005640160592 rounded to six decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 217? (a) -2\/7 (b) -7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k**3 + 6*k**2 - 8*k - 5. Let b(u) = -u**3 + u**2 - u. Calculate -6*b(g) + x(g).\nAnswer: -3*g**3 - 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/(-10))\/((-6)\/(-4)). Suppose -36 = -y*i + 8. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/96 and -53\/512?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63366466, -63366469, -63366474, -63366481, -63366490, -63366501, -63366514?\n\"Answer: -p**2 - 63366465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 4*u**2 - 4*u + 3. Let w be g(-4). Suppose p - w = -25. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*d. Solve 6 = -2*u + d*z, 5*z - 5 = 4*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 39 = 12*f. Solve 0 = 4*j + 2*t - 12, 2*t + f*t + 15 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 42, 36, 28, 18, 6, -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 36\/(-15) + 64\/10. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**49\/(g**(-2\/5)*g*g*g**(-2\/7)*g)*(g**(-3\/4)*g*g)\/((g*g**(2\/13))\/g)*(g\/g**5*g)\/(g\/g**(6\/5)*g) assuming g is positive.\nAnswer: g**(-7857\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/102)\/7 + 146\/(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 4*l + 1. Let g(a) = 4*a - 4. Let o be g(5). Suppose -4*v - o = -4. Calculate x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 564918779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 7:19 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 215409*x + 1544. Let c be u(-16). Round c to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {h: 5, s: 2, r: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20105.\nAnswer: 5, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let a = m + -3.6. What is the third smallest value in a, -5, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1170*y**2 - 123*y + 1162*y**2 + 123*y + 1166*y**2 - 3516*y**2.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + 1 + 0 + -75 + 32 + 31.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -1792. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-234*y + 663*y - 96*y)*(36 - 5 - 11) in the form l*y + g and give l.\nAnswer: 6660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -77509.\nAnswer: -387545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3688, 36, -143 in increasing order.\nAnswer: -3688, -143, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/7)\/z**(-3))\/((z*z**(2\/13))\/(z**(-2\/3)\/z)))\/(((z*z\/((((z*z**1*z*z)\/z)\/z)\/z)*z)\/z*z*z**4)\/(z**(-2)*z**(-2\/13))) assuming z is positive.\nAnswer: z**(-2294\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10) - ((-460)\/50 - -11). Let n(g) = -g**2 + 2*g + 3. Calculate n(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*i**2*l*u - 3*i**2*u**2 - 2*i**2*u + 6*i*l*u**2 - 3*l*u**3 wrt u?\nAnswer: -6*i**2 + 12*i*l - 18*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226*d - c + 4 = 1225*d, -d + 16 = 4*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 152*c**2 + 47*c + 90. What is the units digit of k(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -8*s**7\/7 + 7*s**3\/3 - 5. Find the third derivative of j(a) wrt a.\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zozzzzoz. What is prob of sequence zzoo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 18 + 380 = 4*u, -3*u + 2*c + 304 = 0. What is the common denominator of -38\/9 and (u\/32)\/(55\/10)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 108 + 333 - 115 - k**4 - 3*k**2 + 9*k**3 - 112 - 25*k**2 in the form g*k + y*k**3 + a*k**4 + m*k**2 + p and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 5*a**8\/336 - 5*a**7\/42 + a**6\/3 - a**5\/3 - 10*a**2. Determine l, given that s(l) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-5))\/(c\/c**(3\/10)*c)*c**(3\/7)*c\/((((c\/c**(-2\/7))\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(521\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -26*k**2 + 2*k + 21*k**2 + 4*k**2 - 2*k. Let s(z) = 6*z**2 + 22*z - 5. Let n(j) = j**2 - j - 1. Let p(h) = 5*n(h) - s(h). What is x(p(a))?\nAnswer: -a**4 - 54*a**3 - 729*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Suppose -p*j + 37 = -33. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20 - -624 - (2 - 0). Let a = u + -621. Put -5, -4, a in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 129187, 129138, 129091, 129046, 129003, 128962, 128923?\n\"Answer: i**2 - 52*i + 129238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*t**2 - 2 + 17*t**2 - 34*t**2 + 37*t**3 to the form p*t**3 + o*t**2 + x + v*t and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -463, -449, -409, -343, -251, -133, 11?\n\"Answer: 13*g**2 - 25*g - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12789)\/(-12) - 25\/(-100)?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n**3 - 11*n - 15. Let x(r) = 4*r**3 + 3*r + 4. Let i be (-384)\/(-66) + (-26)\/(-143). Determine i*s(j) + 22*x(j).\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 268307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + z**2 + 2*z - 6*z - 8. What is the lowest common multiple of 6 and j(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 12. Let r be (3\/(-1) - w)*1. Which is bigger: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/5, 15, -0.242, 2.19, 2\/11, 1\/3, -1\/14?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 999 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30\/169, 0, -0.2 in increasing order.\nAnswer: -0.2, -30\/169, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36958403 a multiple of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 3*q - q, 2*q - z = 3. Suppose q = 2*v - 2, -y - 3*v + 4*v = -183. Calculate the greatest common divisor of y and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675370 is divided by 3262.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.78386518 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {d: 1, n: 4, e: 4, l: 2, c: 2, w: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5705705 to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, y: 4}. Give prob of picking 2 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. What is the units digit of -1 + (-1)\/(j\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38937 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 34, 5, 30\/7?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 1. Let p(m) = -m**3 - 7*m**2 + 16*m - 13. Let g be p(-9). Let o(c) = -12*c**2 + 4*c + 5. Let k(l) = g*h(l) + o(l). Calculate k(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550046583 take away -2943?\nAnswer: -550043640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 19, u: 1}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 0*g - 6 = 0, -9*g = -15*c - 11*c - 22*c - 5*g - 620 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 3*p**2\/2 - 1. Let f(i) be the third derivative of -i**4\/12 - 363*i**2. What is f(x(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -941 + 943. Put -0.4, 11, m, 0.07 in ascending order.\nAnswer: -0.4, 0.07, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/5 (b) -12 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 789, 3\/5, 28\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/5 + 2\/10. Let z = j - 0. What is the least common multiple of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510113829 to the nearest integer?\nAnswer: 22586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 452987, 452910, 452833, 452756, 452679, 452602?\n\"Answer: -77*z + 453064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3881605 and 31430.\nAnswer: 7763210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/41 or 0?\nAnswer: 15\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59990 is divided by 100.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g - 2. Determine y(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003879 to 7 decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11475 + -11137. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -156, -789, -2246, -4857, -8952?\n\"Answer: -55*f**3 - 82*f**2 - 2*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84811976 is divided by 789.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 14 + 23 - 7 + 0*o + o - 3*o. Let s(k) = -3*k**2. What is s(q(l))?\nAnswer: -12*l**2 + 360*l - 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-117)\/27)*-1*-2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -6\/63669505 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 10 = -4*n, 27*n - 30*n - 17 = k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96738357?\nAnswer: 3, 239, 134921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*j - 847*j = -589*j + 1899 - 45645 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.77869 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 4\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 16*o**4\/3 + 1460*o**3\/3 - 1108*o**2\/3 - 368*o\/3 = 0.\nAnswer: -92, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 12665.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -318865609 times 0.2?\nAnswer: -63773121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b - 22*b - 120*b.\nAnswer: -184*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 47, 275, -1, -22, 3 in ascending order.\nAnswer: -22, -5, -1, 3, 47, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12239 in 5, -5, 2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 10. Let i be w(6). Let k(s) = i*s**2 - 6 + 8 - 2. Let x(d) = 4*d**2. What is k(x(o))?\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -171?\nAnswer: -49\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from gnggwngnnnrtgzgtwwnr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let c(d) = -14304*d**2 - d + 2. Determine c(o(u)).\nAnswer: -14304*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/9*70\/20\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3168 and 2064.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012546294 to five dps.\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 205 and -3981.\nAnswer: -3776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 3697.\nAnswer: 3696.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-18)*(-2)\/(-6)*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -82 + 157 - 140. Solve -u*o = -5*i, 10 = -10*i + 7*i + 5*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**2 - 3*j**2 + 3*j**2)*(-j + j - 2*j) - 9*j**3 + 7*j**3 - 26*j**3 as z*j + b*j**3 + g*j**2 + p and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**2\/2 - 12*o - 3984. Let a(z) = 2*z + 23. Calculate 3*a(u) + 5*w(u).\nAnswer: u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4941426.\nAnswer: 2, 3, 7, 29, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 10496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -17. Suppose 2*f + r = 157, -q*f = -7*f - r + 235. List the prime factors of f.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 - (-2)\/4. Let j be -2*3\/21*-7. Solve c = s + s + j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -304?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 6519811 and 6519812 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34229 divided by -2633.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 5 + 10 - 9*w**3.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199008, -397971, -596934, -795897?\nAnswer: -994860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-35)\/25)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848*r = -3052*r + 72732 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.5857 minus 702.075?\nAnswer: -677.4893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.214 and 864?\nAnswer: 1048.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1734 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 902443479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_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: Two letters picked without replacement from {e: 3, y: 1, b: 2, d: 4}. What is prob of sequence yb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -556 + 486.4. Let x = 69.6293 + o. Let m = -0.03 + x. What is m rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1232964\/81 - 78\/(-351)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*m + 32, -28 = -3*m + 3*n - 7. Let x(k) = k**2 - 35*k + 286. Calculate the least common multiple of m and x(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10 - 14 + 453*r**3 - 1.\nAnswer: 453*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.59213 months to decades.\nAnswer: 0.58826775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*j**4 + (2*j - 3 + 3)*(-2 - 3*j**3 + 2) + (j**3 + 4*j**3 - 6*j**3)*(4*j + j - 3*j).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.046824 kilometers to millimeters.\nAnswer: 2046824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002033 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 44 - 26 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5033a - -1660?\nAnswer: -4a89a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 16 = -5*h, 0 = -210*h + 214*h + 5*u + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 3. Let r(f) = 5*f**2 + 8. Let d(q) = 3*r(q) - 8*z(q). Let g(m) be the second derivative of 5*m**3\/6 + m. Calculate g(d(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18366740 is divided by 6122230?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10356536 to the power of 1\/2, to the nearest integer?\nAnswer: 3218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 - -29.88. Let i = -32 + d. Let a = i + -0.53. What is a rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 274741589?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfcttcfbmcpctf. Give prob of picking 2 c and 1 b.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -25*c. Let q(o) = -22*o**2. Determine a(q(v)).\nAnswer: 550*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 13968 = -13800 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1160.3526 to one dp.\nAnswer: -1160.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 16382024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -5 (b) 0 (c) 9\/16 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7143, -7042, -6955, -6888, -6847?\nAnswer: -6838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 15, o: 5}. What is prob of picking 2 m and 1 o?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, 3, -45, -125.\nAnswer: -125, -45, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**6 + z**5 + z**3 - z**2 - z - 1. Let j(q) = 49*q**6 + q**3 - 14*q**2 - q - 1. Let r(y) = 2*j(y) - 2*t(y). Find the third derivative of r(h) wrt h.\nAnswer: 11520*h**3 - 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) + 92\/(-6). Let d = 1652 + -3365\/2. Find the common denominator of d and v\/12 - (2 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 172*f**2. Let d(a) be the first derivative of a**3\/3 - 101. Calculate d(o(w)).\nAnswer: 29584*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*g = -0*m + 2, 0 = -m + 4*g - 10. Let t(c) = c + 3. Let p be t(-4). Does 11 divide p\/(m + (-86)\/42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*f + 8 + 3 = 0, 2*q - f = 22. Suppose -5*w + w = -5*i + 8, q = 2*i + w. Suppose -121 = -i*a - 37. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.31 + 0.593. Let j = g + -0.283. Which is the fourth biggest value? (a) j (b) 4 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(-12)\/28.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -47 (b) -0.5 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:11 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(18\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -4\/409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -3, 38, 117, 246, 437?\n\"Answer: 2*q**3 + q**2 - 2*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 70\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4))**29)**(-2\/7) assuming t is positive.\nAnswer: t**(232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:44 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/13 in 0.4, -0.2, -0.3, -1\/4, 2\/1715, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*v + 98*v - 19080 = 253*v for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 66?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4320848 = 20479152. Suppose 0 = -5*r + 5*d - p, -d = -6*d. What is r rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 3. Let i = 13 + 35. Suppose 2*a - i = -4*o, a + o + 0*o - 20 = 0. Suppose -5*u - 2*p = 2*p - a, -2*u - 20 = -5*p. What is f(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -34*a + 2. Let d be v(-2). Suppose s = -s + d. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*y - 287, 6*y + 113 = q + y. Let n be (-10)\/((10*(-17)\/(-306))\/(5\/2)). Let a = n + q. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -16. Is ((-62)\/(-4))\/(s\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(1 + 0\/(-1)). Suppose 2*d - 104 = 96. Let r = d - 498\/5. What is the closest to 0 in w, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 5*l. Calculate the remainder when 3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*a**3*b**2 - 104*a**3 + a**2*b - 19185*a*b**2 - 2*b**2 wrt a?\nAnswer: -138*a*b**2 - 624*a + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*p**6*z + 102*p**5*z - p**2*z - 3*p**2 - p*z + 21*z - 14 wrt p.\nAnswer: 18240*p**3*z + 6120*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -949*s + 8492 = 900. Calculate the lowest common multiple of (6\/(-4))\/(1\/(-48)) and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1128\/(-705)*10\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 6:26 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d + 1. Let f(j) = j - 1. Suppose 2*b + 4 = -2*z, -5 = -z + 4*b + 8. What is z*f(g) - q(g)?\nAnswer: -11*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4607653, 9215305, 13822957, 18430609, 23038261, 27645913?\nAnswer: 32253565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -39a?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 2. Calculate a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 7*u**4\/24 - 7*u**3\/2 - 114*u**2. Let z be v(5). Calculate the greatest common factor of 252 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12297*a + 122*a**3 + 12297*a - 24*a**2 + (3*a - 5*a + 4*a)*(4*a**2 + 2*a**2 - 4*a**2) in the form p + c*a**2 + j*a**3 + u*a and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3692000 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {n: 3, t: 1, w: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 4*o + 10. Let l be n(12). Let g = -169\/2 - l. Factor 0*w + g*w**3 + 0 - 3\/2*w**2.\nAnswer: 3*w**2*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35398?\nAnswer: 2, 11, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(128))**2*-6.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 + c**2 - 555*c\/4 - 2925\/2.\nAnswer: (c - 26)*(c + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/39 + 31\/156. What is the nearest to -0.1 in v, 1, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1 - 150*m - 1 + 1. Let s be b(-1). Suppose 5*z + 170 = f, 5*f - 1 = 5*z + s. Find the common denominator of z and 40\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s - 11. Let k be v(6). Let f = 110 + k. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1269989585 to the nearest integer?\nAnswer: 35637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 25 - 77 + 15)*(k**5 + 2*k**4 - 2*k**4).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 520\/13*9\/(-36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 3*n**2 + n + 4. Let v = -1 - 2. Let u be a(v). Solve u = 4*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {p: 6, t: 3, b: 2, l: 1, d: 2, f: 6}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15252 by -3.\nAnswer: -5084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10)*-11*2)\/(((-1404)\/(-260))\/(-9))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 8*z**2 - 6*z + 5. Let m be c(-7). Let r = 12 + -7. Let i = -16\/15 + 7\/5. Sort i, m, r.\nAnswer: m, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.7. Sort -0.2, -17, -5, i in increasing order.\nAnswer: -17, -5, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1827*m. Let v(s) = -24639*s**2. Calculate r(v(z)).\nAnswer: -45015453*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*t - 55*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)**(-1\/20)\/(j**(-2\/9)*j\/j**(-2\/19)))**22 assuming j is positive.\nAnswer: j**(-18491\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p + 2. Let k be (-4 + 3)\/((-1)\/(-3)). Let x be o(k). What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67239\/(-2790) + (-84)\/(-40) + -2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/44 and (-828)\/16*(-7)\/21.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 666 in 0, 3.2, 4, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Let c(s) = -s. Let y be c(7). Let h = y - -8. Which is bigger: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Let f = -2\/1301 - 37721\/5204. Let l = 15\/2 + f. Which is the biggest value? (a) o (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2001002 (base 3) to base 13\nAnswer: -8a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.818 * 285.82\nAnswer: 233.80076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 579\/(((-4)\/(-6))\/((-36)\/(-81))). Suppose -2*j + g = 5*v, -2*v + 6*j = 3*j - 162. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 25. Let q(l) = 38*l - 2. Let w be q(m). Suppose -3*y + w = -144. Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(832) + 2)*-1)**2*-1.\nAnswer: -20900 - 800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -33.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 17*p + 51. Solve -p*a = -q + 2*q - 8, 0 = -q + 2*a - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 352 = 3*u, 0*u = 5*u + 4*p - 584. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1017 and -143\/24.\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:16 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2673)\/(-18))\/(-9) + 25?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 144*n - 719. Let y be a(6). Calculate the greatest common divisor of y and 1543.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779500750 divided by 55678625?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 641516 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {t: 2, c: 5, e: 3, u: 5, m: 3}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - o**2 - o - 1. Let z(w) be the third derivative of w**6\/120 + w**5\/60 + w**4\/24 + w**3\/6 - 7*w**2. What is q(l) + z(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**4 - 53344*d**3 + 3*d**2 - 7*d + 14748.\nAnswer: -12*d**2 - 320064*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -71295.\nAnswer: 1\/23765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (200 + -187 - (-2 + 18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((232\/(-12))\/1)\/(2\/(-51)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.44 - -1.3. Let n = -0.14 - l. What is the smallest value in n, -5, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/28*2*1*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7777 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y - 16*y = 2*y + 819 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r - 24. Let v be z(8). Let l(i) = -i**3 + i**2 + i + 13. Give l(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + s - 14 = 0, 58*w - 19*w - 539*s + 543*s = -179 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -16*r**4 + 86*r**3 - 132*r**2 + 8*r + 80 = 0.\nAnswer: -5\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.2. What is the nearest to -2\/5 in i, -2, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 14025237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -5*l - w, -36 = -l - 8*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -2 (c) -6 (d) 3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-90)\/(-4))\/1 - (-3)\/(-2). Let j be (-2)\/(-6) + (77\/t)\/1. Let h be 3\/(-1) + -5 + 13. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:03 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5.13 (b) -2.47 (c) 4 (d) 1\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**2 - 4*m**3 - m**2 - 2*m**2 + 4*m + 0*m**2 - 2*m**4 = 0. What is m?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11\/5, 30, 0.3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -9. Let b = 1 + d. Suppose -3*l + 3*u = -2*u + 3, 0 = b*l + 4*u - 32. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -5 (c) 8 (d) 2 (e) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Let p(g) = -1 - 1 - x + 1699*g + 4. Let j be p(1). Round j to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 101, 154, 207, 260, 313?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(21)*-3 + sqrt(21))\/((sqrt(7) + -2*sqrt(7))*-1) + (1*sqrt(99)\/sqrt(3))\/(sqrt(99)*5 - sqrt(11)))**2.\nAnswer: 2187\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -258, -535, -914, -1395, -1978?\nAnswer: -2663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13*t**2 + 36*t + 9. Let c be 231\/(-35) - -7 - (-344)\/40. Let o(x) = -6*x**2 - 18*x - 4. Give c*o(f) + 4*z(f).\nAnswer: -2*f**2 - 18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4145.05 + 34.05. Sort 0.4, d, -1\/4 in decreasing order.\nAnswer: 0.4, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1032561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 58 = -29*l - 2*q, -q + 145 = 5*l. What is the remainder when 4432 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*h. Suppose h = 4*a + 4*j - 4920, -2*a + 2140 = 5*j - 329. Is a\/2 + 1\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8303\/1083*(6\/(-188) + 0). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 7. Let o be m*1958*(-2)\/24. Let g = o + -164. What is the common denominator of g and -137\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340828435.\nAnswer: 5, 2797, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(1 + -1 + -1). Suppose -c - 5 = -2*t - 4, -19 = -3*t - 2*c. Sort z, t, -1 in decreasing order.\nAnswer: z, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137469 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/((-42)\/(-24)*-8))\/((-14)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63246 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340971970.\nAnswer: 2, 5, 4993, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3))*-1 + 0 + 1 + (sqrt(3) - -2*sqrt(3)*-1))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b - 3*b**2 - 2*b**3 + 3*b - 9 - b**4 + 8 to the form m*b + t + y*b**4 + c*b**2 + u*b**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -128. Let l = z - 43. What is the first derivative of 0*n + l*n**2 + 0*n + 2 - 60*n**2 wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 14\/(-18) - (-2425)\/(-873). Is j at most as big as -38\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 - 2*z**2 - 2*z - 5. Let h be f(3). Calculate the greatest common divisor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.339629s?\nAnswer: 1339629000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5014 is divided by 310?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/4 (b) -4 (c) 1 (d) 107 (e) -33\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1053 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 956*f + 479*f + 477*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2334 and 37266?\nAnswer: 14496474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 h when four letters picked without replacement from hhplhhhhppphplpllpph.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o + 2. Determine a(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -53. Is 11 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 - 129. Let v be (3\/(-4))\/(w\/(160\/15)). Solve -v*j = -4*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 10, h + 62 = -4*f + 2*h. Let g(m) = -m**2 - 29*m - 144. Calculate the remainder when g(f) is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12 and 91\/608?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 3. Let v be 4\/32 - 2\/4. What is the closest to i in v, -4, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -148954, -1, 0 in descending order.\nAnswer: 3, 0, -1, -148954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p**2)**(-47)*(p**(-2\/7))**(-30)*(p*p**(-4))\/(p**(-4)*p) assuming p is positive.\nAnswer: p**(718\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1500 divided by -15.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44878\/15 - -2992. Sort -3, 2\/19, -2\/13, 2\/9, d in ascending order.\nAnswer: -3, -2\/13, 2\/19, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 2867.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - m - 3 = 0, -2*y - 3*y - 15 = -5*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -13*f**2 + 1 - 15*f**2 + 33*f**2 - 16*f**2. Determine y(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130220031 + -2?\nAnswer: 130220024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n + 29*n - 166*n + 1500. Suppose 0 = -0*w + 2*w - 96. Calculate the common denominator of 65\/22 and ((-4)\/n)\/(w\/(-2610)) + 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c4f64 (base 16) to base 2.\nAnswer: -11000100111101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p + 142 - 118 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a factor of 902440444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4556, -18599, -42002, -74765?\nAnswer: -116888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 252 + 18. Let r = a + 82. Let x = r + -16. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/382 and -13\/4.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001299065 to 5 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300350269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 663 + -663.826. Let b = c + 0.016. Let n = -0.06 - b. What is n rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4955, 9907, 14861, 19817, 24775?\nAnswer: 29735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60466 (base 8) to base 7.\nAnswer: -132361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/331? (a) 29 (b) -0.1 (c) -1 (d) 3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 4*l - 2*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 3924.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 26. Suppose 5*t - 3*x - o = 0, -3*x - 7 - 2 = 3*t. Suppose -t*i - 8 = -4*i. Solve -i = u + u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45688878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 15319*i - 137707. Give k(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58909.87 kilograms to tonnes.\nAnswer: 58.90987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18473 and 2821?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, x: 1, k: 4, r: 6}. What is prob of sequence krr?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*u - 36. Let r = 5 + -1. Solve -u = -r*p + 8*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6590463 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 2. Let s = -4 - -2. Let t be u(s). What is the units digit of t\/(-1 + (-3)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49015722*f + 137391012 wrt f?\nAnswer: -49015722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/15 - 3\/(-15). Let a(o) = -o**3 - o + 1. Let k(w) = w**3 + 2 - 6*w**3 + 67*w**2 - 70*w**2 + 4*w. Let f(n) = y*a(n) - k(n). Factor f(m).\nAnswer: 3*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -12*i**2 - 85*i + 405. What is u(-16)?\nAnswer: -1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -9)*(-12 + 108\/168*18)?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61.9965 - -33.9999. Let q = 1.3 - 29.3. Let c = u - q. Round c to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a millennium in months?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17957 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -63, 0, -3, -8.\nAnswer: -63, -8, -3, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 16 = -4*c, -173 = -5*y + 2*c. Let a be (6 + 2*(-115)\/20)*-18. Calculate the highest common divisor of a and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1801 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-190)\/25)\/((-1)\/15). Let x = 15 - h. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 y when four letters picked without replacement from {d: 3, o: 5, y: 4, e: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 0\/(-2) + 2. Let p = 6 - h. Let y be (p\/2)\/((-4)\/(-16)). Solve -y*x - 4*c = 14, 4*x - 5*c - 19 = -8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -440, -1, -25566 in increasing order.\nAnswer: -25566, -440, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 1. Let b be w(-1). Suppose -4*y + 3*s + 134 = y, 0 = b*y - 4*s - 87. What is the remainder when y is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4782 = 5*j - 2583. Let p(u) = -j + 1473 - 6*u. Let o(w) = -10*w**2. Give p(o(t)).\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -18.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/27112 and -50\/111837.\nAnswer: 894696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 - 1.12. Let i = -12 + 8. Sort o, 0.5, i in decreasing order.\nAnswer: 0.5, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 19. Suppose 0 = -9*m + 6*m - 120. Let f be (2\/(-4))\/(2\/m). Let q be a(f). Solve 0*x - 3*x + q = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - f + 0 = -7, 4*w = -4*f + 8. What is the units digit of 2304\/15 - 3\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/((-34)\/(-34))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629 = -32*s + 587. Let h(y) = -39*y - 4. Calculate the remainder when h(-3) is divided by s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 383522, 1 in decreasing order.\nAnswer: 383522, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16697457 and 24770?\nAnswer: 166974570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -3) + 7 + 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28907 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 4 + 5\/12. Let h = -11\/84 + d. Which is the closest to 0.1? (a) -3\/2 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 16168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-35))\/(63686\/210). Let p = -1264604\/95529 + l. Let g = p - -88\/7. Which is the smallest value? (a) 1 (b) 3 (c) g (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 20 = 4*k + 20*f, -2*k = f - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 607\/203 - (-12)\/(-4). Suppose -8*k + 0*k + 3*k = -7*k. Do b and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -14. Calculate the remainder when 64 is divided by 6\/y*(-2 - -28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyvyyvvvvvvyvvyy. Give prob of picking 2 v and 2 y.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226752537679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtg when three letters picked without replacement from pqqgtgqgptq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 + p - 2. Give j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 + n**2)*(-8*n**2 + 8380*n - 8380*n + 3*n**2 + 5 - 5 + (-2*n + 0*n + n)*(2*n - 2*n - 2*n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.4 - -9. What is the smallest value in 0.1, j, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/(4\/14*14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*z**4 + 217*z + 471 wrt z.\nAnswer: -20*z**3 + 217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 + 596*k - 600 = 0 for k.\nAnswer: -150, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8619285 by -15.\nAnswer: -574619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/330 and -167\/2090550.\nAnswer: 2090550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -11513600 to the nearest 100000.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/10*54\/(-4). Suppose 5*v = -h + j, 5 - 20 = -5*h - v. Solve 5*u + h = -z + 7, 4*u + 17 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:16 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3475, 13508, 30091, 53110, 82451, 118000, 159643?\n\"Answer: -19*j**3 + 3389*j**2 - j + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2. Let z(p) = -4 + 1 + 1 + 1. Let h(r) = g(r) + z(r). Let i(u) = 4*u - 10. Let k(f) = -6*h(f) + i(f). Differentiate k(l) with respect to l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-7 + 10 + 8 + 4 + -8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 6. Let d(r) = 3*r - 13. Let h(k) = 3*d(k) - 7*l(k). Let u(i) = -18*i - 26. Give 52*h(j) + 6*u(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23048 and 19832.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*n + 72. Let j = 7917 + -7812. Calculate the remainder when j is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 96.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n**2 + 2*n - 3. Suppose -5*b + 2*a + 2*a + 7 = 0, -3*a + 12 = 2*b. Suppose -4 = -b*l + 2. Is f(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, v: 3, j: 5, h: 1}. Give prob of sequence hp.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p = u - 28, -5*p - 94 = -4*u. Suppose 3*o - 16 - u = 0. Calculate the remainder when o is divided by 9 + -2 + 0 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2145965 is divided by 73.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*r = -218*r - 112. Suppose g = 10*g - 72. What is the greatest common divisor of r and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + 4*l**2 - 3*l**2)*(35*l - 73 + 73) + (-l + 4*l - 2*l)*(0*l**2 - l**2 + 0*l**2) as f*l**3 + w + s*l + i*l**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17\/378 - 9691\/945. Calculate the common denominator of j and 2*(13\/(-26) + 18\/(-22)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2731957.4 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 2*d - 4. Let j be v(3). Let h be 1*(-3 - (-1 + j)). What is the tens digit of (h - 12)*(0 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57\/19 + (-43)\/6 + 4\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 80694?\nAnswer: 80692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*m**4 + 35235*m**3 - 1330*m**2 = 0.\nAnswer: -133, 0, 2\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:13 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*y - 3*y + 90, 3*l - 65 = -5*y. Suppose -4*h + y + 3 = 5*n, -5*h = -5. Solve -5*v = 2*u, v + n*u = -u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/(-11)) + 237\/(-158)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17170*p**4 - 327*p**3 + 13*p**2 - 175181*p?\nAnswer: 412080*p - 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.00574 + 2.10574. What is the closest to 0 in k, -4, 0.07, 2\/17?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 23*a - 75. Let j be n(26). What is p in 61 - 29*p + 73 - 21*p**2 + 9*p - 34*p**2 + 5*p**j + 86 = 0?\nAnswer: -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 11) + (-32)\/48*-12. What is the fourth smallest value in -0.8, 0, -0.1, a, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 - -296. Let r = 1286\/7 - g. Is 1\/2 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (84\/(-2) - 0) + (-143 - -145). Let k be (-2)\/h*(0 - (-25)\/10). Which is the nearest to 1? (a) 1\/2 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913 is divided by 162.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k**3 - 168 + 127*k**3 + 168.\nAnswer: 182*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 8*c**3\/3 - 5*c**2\/2 - 1. Let d(v) = -17*v**2 + 11*v. Suppose -3*m = -i + 28, -3*i - 64 = -6*i + 5*m. Give i*a(b) + 6*d(b).\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -611040 divided by 152760.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 37. Let k be t(-15). Suppose 3*y - 1 = k. Suppose 3*g = 2*x + 6 - 20, y = -4*g. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4686 and -43\/18.\nAnswer: 14058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:57 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-1) - -3) + 10. What is the highest common divisor of l and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 69 = 79. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b**2 - 2*b + 3*b**2 + 2*b.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, p: 15}. What is prob of picking 3 p?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 7) to base 10\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/(-15) - 104\/780?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5074845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*z - 3 = 0, -g = 43*z - 49*z - 41 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3419 - 3417. Solve 0 = -3*a + 5*y + 14, 0 = 5*y - d*y + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, -0.2, -1\/7, 6, 251, 0 in increasing order.\nAnswer: -0.2, -1\/7, 0, 0.16, 6, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290 divided by 298?\nAnswer: 645\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -0*f - 5*f + 17, -f = k - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 14.98765. What is l rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-9 - -2)*(-3)\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 2*p**5 - 6*p**5 + (0*p**4 + p**4 + 0*p**4)*(0*p + 3*p - p) + 97*p**5 + 408*p**2 - 408*p**2 + 2*p**2 + p**5 - 2*p**2 - p**2.\nAnswer: 95*p**5 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12258 divided by -10\nAnswer: 6129\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 312. Calculate the remainder when m is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2135559 - 2514829 + 1322270 = 197*h. What is h rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*x - 851220 = 163*x. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4202303 (base 5) in base 9?\nAnswer: -114673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30831 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 8838 = -2*w + 4*g, 5*w - 3*g = 22121. Let f = w - -1606. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 28 - 29 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -165 times 0.006\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(216) - sqrt(216)*3))\/sqrt(4))\/((sqrt(300) - -1*(2*sqrt(300) + sqrt(300) + sqrt(300)))*5).\nAnswer: -9*sqrt(2)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1664*j**3 - 544*j**2 wrt j.\nAnswer: -9984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/463, 0.3, -0.4, 0.1, -408 in decreasing order.\nAnswer: 0.3, 0.1, 1\/463, -0.4, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1260\/(-480))\/((18\/(-16))\/((-6)\/4))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -0.2, -1\/99?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 223903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7471 is divided by 3731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*w = 64*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - y**2 + 2*y. Give v(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) 4 (c) 7\/17 (d) 3 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -988973*y**4 + 1060*y**2 + 159*y?\nAnswer: -23735352*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 5*c. Let g be m(-8). Suppose 4*p = 2*p + 5*j - g, 2*j = -4*p. Let h be -3*(-1 - (-12)\/9). Is h smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-38)\/(-8) - 145\/(-116). Let p(a) = -17*a - 9. Let b(v) = 9*v + 5. Calculate c*p(d) + 7*b(d).\nAnswer: -5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 18 = -5*l - 3*g, 4*l + 4*g = 64. What is the highest common factor of l and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2172 divided by 2?\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + 5*n - 2*n**4)*(-9 + 5 + 3) - 10*n**2 + 24*n**4 + 10*n**2 as c*n**3 + i*n**2 + a + x*n**4 + v*n and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.156, -0.016, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49191086 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/8)\/(1\/4). Suppose -l - 4 = r*b - 14, -4*b - 3*l = 3. Suppose -82 - 8 = -b*p. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + 2. Calculate the highest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 11, -0.4, -0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t + 11. Let v(r) = 8*r - 23. Determine -7*p(c) - 3*v(c).\nAnswer: 11*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7807 + -6533. Which is bigger: i or 1269?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2245 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4343*o - 36487 = -555*o - 113347 - 89672 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0 (c) 7 (d) -1\/5 (e) 0.4 (f) -5 (g) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 152*y**2 + 121*y - 4896. Let g be b(-153). Suppose -6*p - 1\/2*p**2 + g = 0. Calculate p.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699559?\nAnswer: 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2. Let j(g) be the first derivative of -g**4\/8 + g**2\/2 - 105*g + 137. Let d(u) be the second derivative of j(u). Give c(d(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 214, -92, 5 in ascending order.\nAnswer: -92, 5, 7, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 15*c**2 - 19*c + 61. Let x be k(3). Suppose -a - 4*a = 25, -a = 2*n - x. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422134644?\nAnswer: 2, 89, 1283, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70))\/sqrt(10) - sqrt(7))**2 + (sqrt(77) - 1*sqrt(77))\/sqrt(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/718090138 or 1?\nAnswer: 1\/718090138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 68?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*c + 239 - 804*c**2 + 827*c**2 + 51 wrt c.\nAnswer: 46*c - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -7, -2\/13, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 - 1479616*y**2\/5 - 54730699906*y + 1641974263788\/5.\nAnswer: -2*(y - 6)*(y + 369907)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-3 - 18 - (78 + -84))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -5, 247, 65, -9, -4 in descending order.\nAnswer: 247, 65, 5, 1, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7260.408um in millimeters?\nAnswer: 7.260408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 6*n - 9. Let a be n\/6 - 7\/(-2). Solve m + a*m = -20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, 8, 63, 140, 239, 360, 503?\n\"Answer: 11*s**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2 (c) 2 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 31 and -21774791219.\nAnswer: -21774791188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*i - 22*i - 97*i + 47*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwtwwwttww. Give prob of sequence ttwt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 276, 0.1, 9396?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 5*g**3 - 3*g**5 + 2*g**5 + ((2 - 2 + 4*g)*(2*g**3 + g**3 - g**3) - 8*g**4 + 11*g**4 + 4*g**4)*(-2*g + 3*g - 3*g).\nAnswer: -32*g**5 + 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 6479?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d - 9. Let h be (-7)\/(-2)*(-1 + 7). Calculate the highest common divisor of h and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 21*y + 9. Let t be l(-10). Put t, 0, 4 in increasing order.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*t - 52*t - 27*t**4 - 2 + 97*t + 30*t**4 in the form o*t**4 + a*t + g + x*t**3 + c*t**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z = -2*u + 2, 3*z + 3*u - 18 = 0. Suppose 0 = l - 4 + z. Suppose -10 + l = -4*o. Solve o*h - 5*h = a - 15, a = h - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = -k + 1418, 4*b = -3*k + 2840. Let t = b + -384. List the prime factors of t.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1154932723242 - -158.\nAnswer: -1154932723084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = h - 6*h - 3 - 14, 0*h + 8*h = 6*h - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 685499 - 685521 = 5*k, 0 = 3*c - 3*k - 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-82)\/(-4)*34\/(-17) + 0. Which is the closest to 0? (a) h (b) 3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(1 + -3) - 0. Let s be (3 - 5)*105\/(-70). Suppose v*h = 5*o - 585, -o - 117 = -2*o + s*h. Calculate the remainder when o is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k + 159 = -4*y, 0 = -k - 2*y + 29. Let w = -26 + k. Suppose 3*p - 15 = 0, -p - 280 + 0 = -w*v. What is the highest common factor of 38 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-475)\/(-30))\/19*6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.231 and -0.171.\nAnswer: -0.039501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025456?\nAnswer: 2, 3, 42197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*n + 21386 - 21386 to the form l*n + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**2 + i**2 - 7*i - 8*i**2 - 6. Let u be a(-6). Factor 1\/6*o**2 + 0 + u*o.\nAnswer: o**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -15*z - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((6\/90*-145)\/(4\/(-36)*3))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-39*(-175)\/(-525).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3358220, -3358289, -3358358, -3358427?\n\"Answer: -69*t - 3358151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 932314 + 442755. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 13*s - 14. Let v be p(-12). Let d = v + 6. Suppose -d*w + 309 = 5*i, -2*i = -i + 3*w - 64. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(((-2 + (0 + sqrt(1331) + sqrt(1331) - sqrt(1331)))*-4 + 0)*-6*-6 + 1)**2.\nAnswer: -996592932 + 32959872*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1834 = 21*g - 1750. Let r be 8\/(-12) + 20\/3. Suppose -2*h + 4 = 0, -y + 3*h = 3*y + r. Which is the second smallest value? (a) y (b) g (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 2045106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1132 (b) 5 (c) 2 (d) -2\/3 (e) -3768 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 15. Let c be g(13). Suppose -5*t + 4000 = 3*r, 2*r - 793 = t - c*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 3:07 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1281, 1320, 1359, 1398, 1437, 1476?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -66, -35, 24 in increasing order.\nAnswer: -66, -35, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957704805 a multiple of 1805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 40 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 29\/1237290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - w = 12, -9*w + 4*w - 18 = -i. Solve n + 2*s = -7, 3*n + 11 = 2*s - i*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(3570\/8)*(-42)\/(-12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 97279?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*c - 18 + 9 = 0, -5*s - 3*c + 15 = 0. Solve -19*t + 182 + 28*t**3 - 88*t**s + 207*t - 62 - 4*t**4 + 12*t**2 = 0.\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Suppose 0 = -o - 3*o + 32. Let s(j) = j**3 - 9*j**2 + 6*j + 13. Let n be s(o). Which is the nearest to 0? (a) -5 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 338367*q**2 + 150*q + 558 wrt q?\nAnswer: 676734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34734 divided by -1?\nAnswer: -34734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 6*r - 480. Let i be z(20). Suppose 0 = 4*b - 0*b - 80. What is the greatest common factor of i and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.23 + -5.12896. Let c = 0.9 + j. What is c rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(1\/(-2)*6). Let h be 72 + (j + -2)\/(1\/(-4)). Suppose -h = -3*i - i. Solve -5*n = 3*y + 25, 0*y = -2*n - 3*y - i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**6\/40 + x**5\/40 - x**4\/16 - x**3\/12 + 5*x - 1. Let k(v) be the first derivative of i(v). Suppose k(j) = 0. Calculate j.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - -199. What is the highest common factor of u and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 4, m: 3, b: 1, k: 1, y: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 2*v + v - 2*v - 1 + 1 + (2 - 1 - 9)*(-v - 2 + 2) + 2*v + 0*v - 3*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -q - m, 5*q + 53*m + 3 = 54*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -731214034 or -731214033?\nAnswer: -731214034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-286 + 286 + 62*m)*(-1 - 2*m + 1)*(0 - 8 - 7) to b + q*m + k*m**2 and give k.\nAnswer: 1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/11 and -31\/2597?\nAnswer: 28567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3939 and 179858982?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2. Suppose -5*z + 9 = -3*s - 16, 2*s = z - 12. Suppose 2*g - z*h + 10 = -0*h, h = 2*g + 9. Calculate w(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0 = -9. Let d = 25988 + -25986. Calculate the least common multiple of -21*((-10)\/3 - l) and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 11606\/434)\/(-4)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013387 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 620\/(-36) + 3 + (544\/(-144))\/(-17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 633.91, 3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 - 2. Let l(g) = -4*g**2 + 1. Let j(q) = 7*l(q) + 6*s(q). What is the first derivative of j(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658913631 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: What is -58.637307654 - 59?\nAnswer: -117.637307654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*j + 9. Suppose u + 14 = p + 2*p, -p = -j*u + 2. What is the derivative of 2 - 10 - p - 1 + 7*t wrt t?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6227577225*n**2\/4 + 19255260*n + 59536 = 0. What is n?\nAnswer: -488\/78915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*i = 32, 4*y - 4*i - 17 = 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 774 = 1042*o - 1038*o, -4*h = -8. Calculate the remainder when 16511 is divided by o.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2106 and 115\/624?\nAnswer: 16848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971863 is divided by 207.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 5:37 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 8*h + h)*(h**2 - 2*h**2 - h**2 - h**2 + 0*h**2 + 2*h**2 + (-h + 0*h - h)*(-4 + 2*h + 4)) to r + x*h**2 + c*h + m*h**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/90 and 31\/192.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - w**2 + 2*w - 2*w + 2*w + 2*w**2 + (2*w - 3*w - w)*(3*w - 3*w - w) + (1 - w - 3 - 2)*(-w - 4*w + 3*w).\nAnswer: 5*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 z when four letters picked without replacement from zjjjjzzjjjzzjj?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -357 - -362. Solve -m = 4*h - 13, 3*h - 4*h = q*m - 27 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/8)*u)\/(u*u*u**14*u) assuming u is positive.\nAnswer: u**(-127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/3))**(-16)*(j\/(j*j*j**(-1\/9)*j*j*j))\/j**(-4) assuming j is positive.\nAnswer: j**(-335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12543 + 2*b**3 + 5581*b - 5581*b.\nAnswer: 2*b**3 + 12543","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 - 5*z - 5. Let x be h(-2). Let a be 1*x*(-5)\/3. What is the biggest value in a, -1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 6356 + 1390. Let s be 62\/((-118)\/(-38) - 3). Let o = i + s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let z be (-24*n)\/(4\/(-22)). Let i be -1 + 8\/(8 - (-2208)\/(-299)). Calculate the highest common divisor of z and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 318*j - 387. What are the prime factors of u(4)?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = -7*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -6. Let i be -3800000 - (-3 + (-3)\/(-1) - 2). Let q be i - o\/((-6)\/4). Round q to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 63*x. Let z(r) = 4*r + 182. Let v(f) = f + 52. Let t(o) = -7*v(o) + 2*z(o). Give t(q(p)).\nAnswer: 63*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-3)\/(-8)*127\/381)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4100228 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 470 divided by -47\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9250621?\nAnswer: 9250621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.02 - -0.02. Let a = -13.4 - 39.6. Let i = a + 53.5. Put -2\/7, g, i in ascending order.\nAnswer: g, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21148254 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3 = -8. Which is smaller: 2\/231 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g*(g*g*g*g**(-2))\/g)**(17\/6))**22\/(((g\/(g\/(g\/g**(-2\/19))))\/g)\/(g\/g**(-1\/11)))**16 assuming g is positive.\nAnswer: g**(166220\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*u + 5*i, 5*u = 193*i - 189*i + 27. Put u, 5, 0.3, -2\/3 in descending order.\nAnswer: 5, u, 0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712 (base 10) to base 9.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/7)\/((n*n\/(((n**(-27)\/n)\/n)\/n))\/n)*(n**9)**27)**(-23) assuming n is positive.\nAnswer: n**(-34017\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1 - 8*i**3 + i - 5*i + 5*i - 3*i + 2*i**2. Let b be z(1). Let o = b - -11. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4071390 is divided by 1357101?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 35939*w\/2 + 107835.\nAnswer: -(w - 35945)*(w + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 0*s**4 - 2*s**4 + (-12 + 7 - 125)*(-3*s**4 + 0*s**4 + 5*s**4).\nAnswer: -264*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/5 - 5*f**4\/9 - 4*f**3\/9 + 325*f. What is d in i(d) = 0?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*l - 37 = -0*l, 5*b - 29 = l. Calculate the greatest common divisor of 70 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 463 - 463.3. Let g = 1.974 + 0.026. What is the closest to z in -3, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + 0.32. Let i = 0.4 - -3.6. Which is the closest to 5\/4? (a) t (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177277697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + -28 + 45?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*b - 19 - 8, -4*b + 1 = -j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 318, 1, -6, -5, 0.\nAnswer: -6, -5, 0, 1, 2, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22 + -35.19658733.\nAnswer: -35.41658733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 31 + 31 = 0. Solve 4 = l - h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Let t = -10 - -10. Let a be 6\/21 + 30\/(-56). What is the closest to j in -5, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 241 = -5*z - 0*z, 3*q = -6. What is the second derivative of z*g + 3*g**2 - 9*g + 27*g + 133*g + 27*g**2 wrt g?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9405719 and -3756115.\nAnswer: -3756115.9405719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 873012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-15) + 3\/5 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -789444, -1578928, -2368412, -3157896, -3947380?\n\"Answer: -789484*k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5014 divided by 23\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*(2 - -1))\/1. Let l be 9\/16*i\/9. Which is the closest to -1\/2? (a) -4 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 20. Let k = g - 24.725. Let t = -0.3 + k. What is t rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 2*t**4 + t**4 + (2*t - 4*t + t)*(t**3 + 0 + 0) + (-5 + 3 + 3)*(2*t**2 + t**4 - 2*t**2) + (3*t**2 - 6*t**2 + t**2)*(6*t**2 - 3*t + 3*t).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 567753829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z + 1. Let l(g) = 4*g**3 + 2*g**2 + 13*g - 7. Calculate l(h) + 5*t(h).\nAnswer: -h**3 + 2*h**2 + 8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 893369835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.066431 greater than -0.044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1064014 (base 7) to base 4.\nAnswer: 200210332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13241 - 13224. Solve 5*w = -a - q, 2*w + 45 = a + 41 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23601539?\nAnswer: 13, 43, 42221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i, -4*v - 2*i - i + 19 = 0. Suppose 1 = -5*o + v*t, -3 - 12 = -o - 3*t. Is 4*(o - (-2365)\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1541241 or 17?\nAnswer: -1\/1541241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.03 + -7. Let p = 0.07 + r. Which is the nearest to p? (a) -0.4 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313 + 315 - 28*r + 37*r - 628.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5408 - 2046. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*s**2 + 9*s**2 - s**2)*(-1 - 1 - 1) + (-3*s + 2*s - s)*(-2*s + s - s) - 2*s**2 + s**2 - s**2.\nAnswer: -94*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Suppose 0 = -7*a + 2*a - 25, 0 = 4*l - a - 13. Let o(k) be the first derivative of 0*k - 8 + 4\/3*k**3 + 0*k**l. Give o(q(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*b - 1223*b + 205*b.\nAnswer: -1316*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-10)\/20)\/(1\/(-86)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -671483 (base 10) in base 3?\nAnswer: -1021010002202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.747 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43, -62, -79, -94, -107?\n\"Answer: w**2 - 22*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 9*q + 14. Let v be r(12). What is the greatest common factor of v and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -9. Suppose 461 = 13*p + 19. Suppose 0 = 5*o + p - 4. Which is smaller: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53\/210 + 1\/30. Which is the third smallest value? (a) n (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*q - 918 = -59*q. Is (-1802)\/(-6) - (q\/9 + 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*b - 124*b + 209*b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83, 104, 125, 146?\n\"Answer: 21*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3)*l*l**11)\/(((l\/(l*l**(-1\/4)\/l))\/l)\/l**(-2)))**(1\/6) assuming l is positive.\nAnswer: l**(125\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let o = 503\/6 - 84. Which is the nearest to 0.1? (a) 4 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(684) + -1) + 2)**2 + 0.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1054350, 1054321, 1054292, 1054263, 1054234?\nAnswer: 1054205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 5*v**2 + v - 2. Let b be x(-5). Let j be 2\/4 - b\/2. Let t = j + -2. What is the greatest common divisor of 16 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -5, 29.4, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - f + 8*f - 6 + 6*f**2 - 5*f**2. Let p be u(5). Sort -5, -3\/7, -4, p.\nAnswer: -5, -4, -3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 - 20 = 3*d, 40 = -d - 5*q. Solve u + 1 = -4*o, 5*u + 28 = d*o - 2*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142113, -284224, -426335?\nAnswer: -568446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/q**5*q**(2\/41)\/(q*q**(-2\/11)*q))**6 assuming q is positive.\nAnswer: q**(-88884\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113\/452)\/(76\/(-418)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 13*c - 8*c - 11, -3*u - 2*c + 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 1. Let k be f(-1). Let a(d) = d**2 - 4*d + 6. Let o(v) = -v**2 + 3*v - 7. Let l(u) = k*a(u) + 3*o(u). Calculate l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*d - 6 + 14, 3*j = 4*d - 12. Let g(k) = -15*k - 9. Let n(a) = -11*a - 8. Let b(r) = j*n(r) + 3*g(r). Calculate b(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 2*s - 11. Let k(v) be the second derivative of -v**4\/3 - 4*v**3\/3 + 22*v**2 - 2*v + 88. Calculate 2*k(j) + 9*t(j).\nAnswer: j**2 + 2*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9191968*a*q**4 - 4*a*q + 2*q**6 - 13*q**2 + 14*q - 903 wrt q.\nAnswer: 220607232*a*q + 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let h(u) = -31249*u**3 - u**2 - u - 2. Let c be h(z). What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 3*j - 2*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5315, -5317, -5319, -5321, -5323?\n\"Answer: -2*h - 5313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -477 - -2387\/5. Which is the closest to g? (a) 68 (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5*90\/(-1575))\/((-2)\/364). Are o and 250 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -52. Which is the third biggest value? (a) 3\/5 (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:00 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333 divided by 2.\nAnswer: 333\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 8 = q, -3132*l + 3131*l - 18 = -6*q for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0)\/p)**(4\/25)\/(((p\/(p*p**(2\/27))*p)\/p*p)\/p*p\/p**(-6)) assuming p is positive.\nAnswer: p**(-187\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415332.\nAnswer: 2, 353833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 184*r - 181*r. Let k(u) = -u**3 - 7*u**2 - 5*u + 2. Let h be k(r). What is the tens digit of h\/14 - (-7767)\/63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 10 - 13 - 33?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f + 6. Let p(c) = -25*c + 18. Let u(d) = 8*m(d) - 3*p(d). Let o = 3 - 1. Let b be u(o). Solve -8 = -b*j - 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 112 - -8?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 60*q**2 + 10*q - 8. Calculate the remainder when a(1) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 - (-6)\/(-4). Let r(x) = -7*x**2 - 6*x**3 + 2*x**2 - 5*x + 10*x. Let c(l) = l**3 + l**2 - l. Give d*r(s) - 5*c(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205333301 (base 7) to base 13.\nAnswer: -26a4523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 14. Let j be n(0). Let g be (1 - 17)\/(j - 16). Suppose -g*f + 36 = f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -a, 5*t = -6*a + 4*a - 22. Let v = 2 - t. Suppose 3*q + q = v. Solve y + 5*p = 21, -2*y + 5 = 3*p - q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 81.7.\nAnswer: 408.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/5 + 0 - 6840\/(-936).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -499552 take away -17655?\nAnswer: -481897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus -86283500665610?\nAnswer: -86283500665609.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + p - 2623 = 0, 91*p - 88*p = -w + 1314. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {y: 1, k: 6, t: 1, d: 4, p: 1, l: 3}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22177022 a multiple of 2122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 176*f**2 + 340*f - 168.\nAnswer: 4*(f - 42)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 300207157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 447986.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47841 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 87593?\nAnswer: 115\/87593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 7*d**4\/6 - 241*d**3\/6 + 161*d**2. Is c(24) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a17ac - -2?\nAnswer: -3a17aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/4 - 8679*s**3\/2 - 8368002*s**2 - 10750087449*s\/2 + 21533664267\/4 = 0. What is s?\nAnswer: -1929, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25 and -59\/410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 60. Let r(f) = -f**2 - 2*f - 2. Let q be r(6). Let b be ((-4)\/(-5))\/((-4)\/q). Calculate the greatest common factor of u and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/120 and 53\/510.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 - 443 = -4*m. Let h = m + -51. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + q + 4 = 0, -2*q + 14 = 22 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 33*g + 161. Let z be q(-5). Solve z*r = 80*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181256061 is divided by 363?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**3 - 15*q**3 - 46*q**3 + 3*q**3 + q**3.\nAnswer: -75*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000953 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*u**5 + 2*u**4 - 9*u**2 - 50*u.\nAnswer: 10800*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 20\/(-210) - (-391236)\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 6, -3, 1, -5, 2 in decreasing order.\nAnswer: 6, 2, 1, -3, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + j**3 + 37 + 79 - 4*j**3.\nAnswer: -2*j**3 + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 2624419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -v - 5*n + 10, -3*v = 5*n - 30. Suppose 11 + 9 = v*k. What is b in k*b - 1\/2 - 3\/2*b**2 = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3220, -2\/9, 0.5, 2\/69, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(((-5)\/(-5))\/6). Let v be (k\/9)\/((-2)\/(-18)). Suppose -4*d = v*t - 133 - 0, -2*d = 2*t - 68. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943800 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2298 or -2296?\nAnswer: -2296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keytr. What is prob of picking 1 r and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 13*m - 69. Let d be g(5). Solve d*l - 13 = 29 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 664*i**4 + 102*i**2*z**2 + 54*i**2 + 2*i*z**2 + 272942771*i wrt i.\nAnswer: 7968*i**2 + 204*z**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3921370172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1045 - -990) + ((-2 - 0) + 1 - -5) - -11.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 142*d = -143*d + 5, -r + 5*d = 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -282? (a) -1 (b) -5 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 1 + 1)*(0*u + u + u) + u**2 + 2*u - 2*u - 23*u + 5*u**2 + 23*u + u**2 + 4*u**2 - 2*u**2.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*39184\nAnswer: -11755.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000065247392 to 7 decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (15 - 22 - -16 - (-1 + 9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58282 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376863686.\nAnswer: 2, 3, 11, 307, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5 = -p + 3, -4*o + 10 = -5*p. Suppose f - 119 - 84 = o. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.37 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x + 1959. Let p(c) = 10*c + 1305. Give 7*m(w) - 10*p(w).\nAnswer: 5*w + 663","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 + 4*b**2 - 14*b + 2. Let j be m(5). Is 3\/7 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67568 is divided by 171.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9788, 9786, 9784, 9782?\nAnswer: 9780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180*-48136.\nAnswer: 8664480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2930 + 2930.4. What is the nearest to 17 in -0.4, m, 0.7, 0?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccxcccxcxcxccxc. Give prob of picking 3 x.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -10 - (-33 + (13 - 33) + 23).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1787397\nAnswer: -536219.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0*p**3 + 0*p**2 + 1\/36*p**4 + 4*p + 0 + 1\/60*p**5. Factor m(q).\nAnswer: q**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5833400 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 + 131*v + 35. What is y(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -v - 2*v + 69, 135 = 2*r + 5*v. What is the greatest common factor of r and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 71. Suppose -4*n + 5*c = -11, -3*n + 5*c + m = -0*n. What is the remainder when 134 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*l + 226 = 11436. Let q(j) = j**3 + 36*j**2 - 75*j + 18. Give q(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/60 - 9*s**2 + 5. Factor g(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 12. Let c(h) = 2. Let j(w) = w**2 - 6*w + 20. Let t(b) = -6*c(b) + j(b). Determine t(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -141 + 119 + 3*u - u. Let t be j(11). What is i in t - 1\/3*i - 1\/3*i**4 - i**2 - i**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 5*p + 35, -5881*j - 23 = -5878*j - 4*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8616 by -22182.\nAnswer: -1436\/3697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5254*z - 5256*z - 2*r + 2 = 0, -2*z + 3*r = -r - 26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 p when four letters picked without replacement from {q: 2, p: 4, h: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-284)\/6*81\/36*(-1624)\/2436?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + g**2 + 0*g**2)*(-2*g**2 + 3 - 3) + (19*g**4 - 17*g**3 + 17*g**3)*((-4 - 4 + 5)*(0 + 5 - 1) + 2 - 4 + 4).\nAnswer: -194*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**6\/10 + 3*p**5\/10 + 3*p**4\/4 - 2*p**3 - 6*p**2 - 12*p. Let q(s) = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {e: 1, w: 3, c: 1, g: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2757.\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - -1 - -2788*(-40)\/(-27888). Let i = h + -5695\/27888. Find the common denominator of i and -81\/176.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 8, 3, 7, 2 in increasing order.\nAnswer: -14, 2, 3, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 1:13 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46673777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 25542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1.741068, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*3\/(-3) - -6. Solve -2*a + 5*w = -33, h*w = -a + 3*a - 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:31 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -31, -2\/11, -3, -150, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296000 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 13. Suppose 0 = n - 4*n - 18. Let a be w(n). Suppose 2*c - a = c. What is the greatest common divisor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 695 - n + 3*n**2 - 2*n + n.\nAnswer: 3*n**2 + 2*n - 695","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1515 + 2*b**2 - 481 - 516 - 518.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2116502.\nAnswer: 2, 41, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-6))\/4*(-19040)\/(-476)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 6240 = 6096 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.946831m to centimeters.\nAnswer: 94.6831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*c + 193*c - 72*c = 27012 - 15832 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907406026?\nAnswer: 2, 953703013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 557 and 134237.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 2*r)*(7*r - 21*r + 6*r + r + 1 - 1 + (1 + 2*r - 1)*(2 - 1 + 0)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -11 + -1 + 3 - (65 + -77). Solve -3*f - k*t + 6*t = 8, -2*t + 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211000102 (base 3) to base 14.\nAnswer: 5bc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, -10180, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-2 + 0) - 455\/1092*-18?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022725146 rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 294419 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: In base 12, what is 7258 + 3?\nAnswer: 725b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -581217553.8 rounded to the nearest ten thousand?\nAnswer: -581220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19056 divided by -438\nAnswer: -3176\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by (1*-120)\/(-5)*(-8)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*u + 280 = 0, 0 = -5*h + u + u + 492. Let k be 22\/(-24) + 25\/h. Which is smaller: 14 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/15 - b**4\/8 + b**3\/2 - 5*b**2. Let q(x) = -3*x**2 + 2*x - 2. What is -2*k(z) - 3*q(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002094655465 to 7 decimal places.\nAnswer: 0.0000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231242 is divided by 65.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2778*r + 2778*r - 78*r**2 + 106*r**3.\nAnswer: 106*r**3 - 78*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.5. Let k(m) = -m**2 + 35*m - 73. Let f be k(33). Let z be ((-98)\/77)\/f - 64\/110. What is the closest to z in -1\/3, -0.3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*m + 2140 = 85*m + 40*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (248 - 228) + (-1 - 9 - (4 - 6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*b**4 - 54*b**4 + 19*b**4 + (2*b - 2 + 2)*(5*b**3 - 4*b**3 - 4*b**3) + (3*b**3 + 2*b**3 - 4*b**3)*(-2 + 3*b + 2).\nAnswer: -59*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 15.43040989?\nAnswer: 14.93040989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 1. Suppose 0*h = h - 5*h. Let g be b(h). Put g, -2, -7 in increasing order.\nAnswer: -7, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1.51, 5, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-20)*32\/(-336)*-14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231661132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/21)\/(3\/(-9)). Let l be 10\/(-12)*(-68)\/(-85). Which is the closest to l? (a) 0 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + (-128)\/(-12))\/((-12)\/(-10062)). What is the highest common divisor of 117 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1984 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 837075 by 167415.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/86 and (520\/(-10600))\/((-18)\/225).\nAnswer: 4558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2051725, -2051690, -2051629, -2051530, -2051381, -2051170?\n\"Answer: 2*m**3 + m**2 + 18*m - 2051746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632259 is divided by 1252.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(sqrt(243) + -1 + sqrt(243))**2*-2*-3*-3 + 2.\nAnswer: -2592*sqrt(3) + 70056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 9. Let p be g(-3). Let f = 32 + p. Calculate the remainder when 63 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 281144895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 3*i**6\/40 - 31*i**5\/15 - 3107*i**4\/24 + i**2 - 820*i. What is the second derivative of x(c) wrt c?\nAnswer: 54*c - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 82, 201, 328, 469, 630, 817?\n\"Answer: z**3 - 2*z**2 + 118*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/187 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30143 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 128677246 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 8:55 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -43*x**2 - 275990*x + 275990*x. Let s(o) = 3*o - 14. Determine u(s(w)).\nAnswer: -387*w**2 + 3612*w - 8428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u - 3. Let q(r) = -45*r + 34. Let k(c) = -588*c + 444. Let j(p) = 2*k(p) - 27*q(p). Calculate -21*h(z) + 2*j(z).\nAnswer: -6*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l - l = -2358. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 34 = 10*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v - 3, 2*j = -5*v. Suppose x + 3 = j. Suppose -36 = -4*i + x*i. Calculate the greatest common divisor of i and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let w(u) = 15*u**2 + 11*u. Suppose -10*o = 24 - 4. Let h(v) = o*b(v) - w(v). Find the second derivative of h(d) wrt d.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 - 2 - (-437 - -430)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkkbkbkb. What is prob of picking 3 b and 1 k?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 - -0.06. Let d = 0.763 + -0.463. What is the closest to c in -1, 13, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15*i - 1. Let a be k(-1). Suppose -a*l + 18*l = 360. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 99. Let d be (h\/10)\/(15\/(-75)). Solve d*b - u - 5 = -b, -b = u - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25974 divided by 999\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 12293225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.873 (b) 0.3 (c) 1\/64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35971*g + 10 = -6*i - 35976*g, i - 4 = 2*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27397\/21 - -3913\/3. Which is the third smallest value? (a) 2\/3 (b) h (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4\/7 (b) -5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6)*(-29)\/(464\/(-72)). Solve -22*p - 25 = j*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 = 34. Is 13069\/42 - 2\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1872 and 1872?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1170*d + 6. Let g be i(-3). Suppose 5*f + 0*j + 2*j = 4377, -4*f + 2*j = -g. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1665 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 5. Let t be v(5). Let w(j) = 7 - 3*j + j**2 + 2*j - t*j. Let l be w(5). Is -0.1 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6204, 12304, 18408, 24516, 30628, 36744, 42864?\n\"Answer: 2*t**2 + 6094*t + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 4*o + 6645 = 0. Let c = o + -416. What is the greatest common factor of c and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*m - 2, -2*m = -m - 1. What is the common denominator of 0 + 75\/6 + v and 25\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -924 and 2840 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: -a602 (base 13) to base 12\nAnswer: -11376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -5, -2 = -3*o + 2*b - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 1350 = 1215 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -r - 7 + 22, 2*r + 3 = -3*d. Suppose -j = -r*a + 2*a - 60, 3*a - 212 = -4*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*c + 131 - 131)*(-c + 4 - 4) - c**2 + 4*c - 4*c + (c - 4 + 4)*(0*c + 0*c + 2*c) as h*c**2 + y + q*c and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 18*u**2.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 16*k + 8. Let c be p(-14). Let a be 1\/2*c\/(-50). Let u = -885 - -884.8. Sort a, u, -9 in ascending order.\nAnswer: -9, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5041694 = -134*v + 1404108. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 7. Let w be h(7). Let o(i) = i**3 - i**2 - 3*i - 3. Let f be o(3). Suppose -f*b + 6 = -4*b. Put w, b, 1 in decreasing order.\nAnswer: b, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.3022384 to one decimal place.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 4*n**2. Let z(g) be the second derivative of -g**4\/12 - 8*g. What is -a(o) + 3*z(o)?\nAnswer: 2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(-60)\/(-10). Suppose -3*k + 41 = -5*j, 0*j - 20 = -r*j. Suppose -3*t + 242 = -352. Calculate the greatest common divisor of t and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 35 + 22 = -i + 35, -i = 2*i + 25*h + 56 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446830 is divided by 214?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-96) - 3*(-10)\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 270 = -v. Suppose -4*n = -0*n - 56. Calculate the remainder when v is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67337 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 1. Suppose -7*k - 5 - 9 = 0. Let m be (k - 5\/(-15)) + (-4)\/12. Let j(s) = 2*s**3 + 3*s**2 - 3*s - 6. Let u be j(m). Give v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**3 - 5*b**2 + 2*b - 1. Let r(v) = -8*v**3 - 6*v**2 + 2*v - 1. Let x = -11 + 5. What is x*g(s) + 5*r(s)?\nAnswer: 2*s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53142374821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**6\/24 - b**5\/15 - 7*b**4\/12 - b**3 + 149*b**2. List the prime factors of h(6).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -19*b**2 + 7*b - 6. Let u(h) = -20*h**2 + 6*h - 5. What is 4*f(k) - 5*u(k)?\nAnswer: 24*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 877111311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**2 + 4*k - 8 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82224278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 514 and 2184.\nAnswer: 561288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - r**2 + r + (-2*r + 3*r + 0*r)*((6*r - 2*r - 2*r)*(-1 + 3 - 3) + 2*r - 3*r - 3*r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 435481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + 12 + (1 - (-10 + 2))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*w - 24 = 0, -8*y - 3929*w + 3934*w = -36 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*t - 13, -5*t - 9 = 3*n - 2*t. Let o(b) = 6*b + 46. Let x(r) = r + 9. Let g be (1 + 1)*(-2)\/(4\/11). Let w(v) = g*x(v) + 2*o(v). Calculate w(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 465 = -325. What is the remainder when 63 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 5. Let j = 8 - 15. Let i be o(j). Sort -3, i, 1 in descending order.\nAnswer: i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 589686256, 1179372509, 1769058762, 2358745015?\n\"Answer: 589686253*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -61202865 and -19.6.\nAnswer: -61202884.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/5 - 12*z**4\/5 - 38*z**3\/5 + 528*z**2\/5 - 899*z\/5 + 84 = 0.\nAnswer: -7, 1, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27985, -112038, -252113, -448198, -700281?\nAnswer: -1008350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992 plus -4?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10936222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 + 0.00049080881\nAnswer: 0.05949080881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.031 - 2963218.\nAnswer: -2963218.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + y - 2. Let h = -11 - -13. Let m(t) = -3*t - 4*t**h + 13 - 8 + 2*t**2 - 5*t**2. Calculate -2*m(k) - 5*p(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 + 619*u + 20*u**2 - 1634*u - 8 + 3 wrt u?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 9:45 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 9, 38, 87, 162, 269, 414, 603?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i**(-2\/5))\/(i*i\/i**(2\/5)*i**5) assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 59. Let y = -22 + x. Does 7 divide y\/(-3) - (130\/(-3))\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 1. Let s(b) = 25*b + 2. What is 2*f(q) - s(q)?\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -639139 and -20162509.\nAnswer: -20801648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*o. Suppose o*p + 2\/7*p**2 + 0 + 1\/7*p**3 = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68372 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m + 304727 = 533912 + 745485. What is the greatest common divisor of 60 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*y = -145*y - 136*y - 106*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11*231 - (-142 - -145) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 217.5 + -288. Let y = w + 69.578. What is y rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.72 + 1.02. Let t = -107\/935 + 2\/85. Let c = -138 - -547\/4. What is the nearest to t in c, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - 11*s**2 + 6*s + 8. What is the remainder when y(-6) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s**2 + 1. Let q(t) be the first derivative of -13*t**3\/3 + 2*t - 66. Determine 7*o(z) - 5*q(z).\nAnswer: 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2. Let c(p) be the second derivative of p**5\/120 + p**3\/2 - 6*p. Let d(v) be the second derivative of c(v). Determine q(d(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 13 + 50 = 0. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.8166 nanoseconds in microseconds?\nAnswer: 0.1188166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1419 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/5212 and 3\/146?\nAnswer: 380476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f + -6?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 6:34 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*t - 2*t - t)*(4 - 2*t**2 - 4) - 18*t**3 - 557*t**2 + 557*t**2 in the form p*t**3 + q + y*t**2 + d*t and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -40*w + 3. What is n(1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 378460283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11241.8 + -11241.8. Let v = 56.02 - 0.02. Sort v, p, 2.\nAnswer: p, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-2 + 6) - -1 - 27.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/234 and -6\/2409199?\nAnswer: 43365582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98.8 + -99. Let s = 4 - 3.7. Put g, 0.33, s in decreasing order.\nAnswer: 0.33, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 0*m**2 + 0*m**2 + 3*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3968, 7913, 11846, 15761, 19652, 23513, 27338?\n\"Answer: -g**3 + 3952*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175192 is divided by 587573.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and (-209)\/(-11)*(1 - -2) + -3?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 34016*c**2 - c. Let z be d(1). Let x = z + 10985. What is x rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtjqoqeqqoqjqooqeo. Give prob of picking 1 o, 1 j, and 1 e.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkkkkkkkkkkkfkfk. What is prob of picking 3 k and 1 f?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - -21?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 + 69?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27970 + 67761. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*p - 240*p + 71*p + 39*p + 62 to c*p + j and give j.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134116.\nAnswer: 2, 281, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 0*h - 4 = t, -4*h = -t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 177*l**2 - 4*l**4 - 288*l**2 + 147*l**2 - 9*l**5 + 3*l wrt l.\nAnswer: -540*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 37*t - 2*h = 18, 4*t - 2*h + 14 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142569328 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3323 + 3314. Let u(i) = -i**2 + 7 + 0 - 3*i - i. Let s be u(q). Sort s, -3, 2 in decreasing order.\nAnswer: 2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 28255.\nAnswer: 28250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.2 - 22.8. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q**4 - 25*q**3 + 17*q**2 + 17. Let s be (1 - 4\/2) + -50. Let c(d) = 2*d**4 + 3*d**3 - 2*d**2 - 2. Let a(h) = s*c(h) - 6*i(h). Factor a(o).\nAnswer: -3*o**3*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1371, -1373, -1375?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 20 = -2*z, -z - 3*z - 3*h = -15. Let s be (-63)\/6*4 + (z - 1). Let x be 6\/27 - s\/9. Solve 3*r + 2*b + 10 = -r, x*b - 15 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(77 - 206 + 29)*(j + 2*j - j) to r + d*j and give d.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukvbdbs. Give prob of sequence ukds.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -23. Let a(q) = q**3 + 6*q**2 - 9*q - 26. Let j be a(v). What is the highest common divisor of j and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -116 and 16615.52?\nAnswer: 16731.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 60. Let c be l(0). Let i be 2*(0 + 1) - c. Let q = 96 - i. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**23*v)\/v)\/(v*v**(1\/65)\/v*v*v)*v\/((v\/(v\/v**(-41)))\/v)*v**(8\/9)*v)**1 assuming v is positive.\nAnswer: v**(38536\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 1320?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2 + 8*k - 1. Let h(t) = -2*t**2 - t - 1. Let v(a) = b(a) + 3*h(a). What is y in v(y) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106*u**3*v**4 - 4*u**3*v - u**2*v + 2*v**6 + 40*v**2 wrt v.\nAnswer: -2544*u**3*v + 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -969, -1892, -2815, -3738, -4661, -5584?\nAnswer: -6507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -620 + 632. What is the remainder when 109 is divided by 276\/8*((-28)\/q - -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990898 times 1?\nAnswer: 990898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let a be n(-4). Suppose g - 9 = -2*x, 0 = a*x + 6*g - 2*g - 21. Find v, given that 3\/2 + 3\/2*v**2 - x*v = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 25*g**2 - 134*g - 478. Let k be v(30). Find n, given that -3\/4*n**3 + 15\/2*n**k + 3\/4*n - 15\/2 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglllhhhl. What is prob of sequence gl?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -29. Let f = 5 + z. Suppose 0*g - g + 4 = 0, -5*k = -2*g - 102. What is the smallest common multiple of f and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*((-195)\/(-13))\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -213\/268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -580 in 1, 0.02, 0.573, 1\/8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + 2.4. Let q = 0.23 - -0.27. Sort -2\/11, q, x.\nAnswer: -2\/11, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 58 + 58)*(3 + 9*u + 5*u - 17*u) + (-u**2 + 3*u - 3*u)*(0 - 3 + 1) + u**2 - 5*u**2 + 3*u**2.\nAnswer: -17*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 1\/24*q**4 + 0*q + 0*q**3 + 0 + 3*q**2. What is t(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 10:12 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 85. Suppose 9*a - 14705 = o*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -741*d + 723*d - 11 - 33 + 3. Calculate the remainder when g(-9) is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-4)*(l\/l**(2\/5))\/l)**(4\/5))**(41\/2))**(-25) assuming l is positive.\nAnswer: l**1394","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 75*i**2 + 34*i + 16. Determine q(1).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k + 31*k - 57*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4, -60, -3, -2\/15.\nAnswer: -60, -3, -1\/2, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0288 + -0.0712. Let c = -476 - -500.1. Let j = -23 + c. Is j less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:37 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -426 + 432. Which is the third smallest value? (a) -2\/3 (b) v (c) -1\/3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 24*k**2 + 186*k + 131. Let r be l(-7). Solve -r = -4*m + 5*v, -2*m + 3*v - 8 + 11 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 5*p + 2. Let x be u(5). Let y be 16\/(-6) + x\/3. Is y at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 - 32*r**2 + 3*r**2 + 31*r**2 - r in the form j*r + k*r**3 + m + n*r**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*w - 43 = 0, 2*j = 4*j + 4*w + 26. Let s be 3\/j + (-11)\/(-5). Suppose -s*o = -o - 47. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s. Let v(z) be the second derivative of -1295*z**4\/12 - 2886*z. Give r(v(d)).\nAnswer: 3885*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*m**2*n**2 + 25*m**2 - 953*m*n**2 + 690*m*n wrt n?\nAnswer: -34*m**2 - 1906*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - -521555404?\nAnswer: 521555341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -725 - -2106. Let b = q - 969. Suppose -1918 - b = p. Round p to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/4*i**2 - 29\/2*i = 0. What is i?\nAnswer: -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 4*s**2 + 3*s - 10. Let l be f(-5). Does 3 divide 3 + l + (-3 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1936304 > -1936304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/17, -7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 189.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 - 170. Sort x, 6, 3, -2 in descending order.\nAnswer: 6, x, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 101*b + 4560. Calculate m(137).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -6\/7, -0.2, -1\/37, 2.4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.6 + -26.66. Let q = -165.9 - -166. What is the smallest value in q, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 928209.5 millimeters?\nAnswer: 928.2095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*l + 13, 4*m = -4*l - 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*18\/(-216))\/(108\/(-32))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 48. Let n(l) = -2*l - 4. Let v be ((-5)\/4)\/(1\/(-4)). Let h(m) = -3*m + 2*m + 4*m + v. What is f*h(o) - 4*n(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -72*v - 185. Let l be u(-18). Calculate the greatest common factor of 303 and l.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034746 rounded to six decimal places?\nAnswer: -0.000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14851, -14848, -14843, -14836?\n\"Answer: c**2 - 14852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96 + 113 + 156 + 86)*((2 - 6 + 2)*(4 - 4 - o) - 29 + 29 - 10*o) as h + g*o and give g.\nAnswer: -2072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101011101202 - -10?\nAnswer: 2101011101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 878592 and 352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 4*y - 5. Let h be a(-5). Suppose 4*f + h = -f. Let c be f\/(-6)*6\/4. Solve -4*l - 5 = 5*i, -c*l + 3 = -i - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**2 - 9*c**2 + 74 + 746*c - 746*c + 256 as f*c**2 + g + a*c and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c = 2. What is the remainder when (c + 40)\/(3\/3) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78805, -78808, -78811, -78814?\n\"Answer: -3*z - 78802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/12 - w**3\/6 + 3*w**2 - 614*w. Give r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34055331 by -181.\nAnswer: 188151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 665881409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1064 + -33321?\nAnswer: -34405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -85*l**5 - 165*l**4 - 45*l**3 + 20*l**2 + 5*l. Let j(b) = -127*b**5 - 248*b**4 - 67*b**3 + 30*b**2 + 8*b. Let g(a) = -5*j(a) + 8*z(a). Factor g(n).\nAnswer: -5*n**2*(n + 1)**2*(9*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t - t - 2*t + (t - 5*t + 3*t)*(-3 + 1 + 3) + (-1 - 6 + 0)*(-6*t + 4 + 4 - 6) to j + v*t and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -25, -48, -75, -106?\n\"Answer: -2*v**2 - 13*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2259530 and 63882.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -22\/5. What is the fourth biggest value in 5\/2, 0.5, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 3, q: 1, g: 1, j: 4, x: 2}. Give prob of picking 1 q and 1 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -5, 3, 4 in increasing order.\nAnswer: -5, -2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2690292 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/(-45))\/(4\/10). Let t(b) = -48*b + 14*b + 22*b + 22*b. Calculate t(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 184*v - 244. Let n(r) = r + 1. Let j(z) = d(z) + 12*n(z). What is the first derivative of j(y) wrt y?\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022120210022 - -102?\nAnswer: 2022120210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 53353, 0.4, 0.2, 5 in decreasing order.\nAnswer: 53353, 5, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12191 - 12194. Let p(d) = -37*d**3 - 3*d - 3. Let g(m) = -221*m**3 - 17*m - 17. Calculate b*g(i) + 17*p(i).\nAnswer: 34*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32162518 to the nearest integer?\nAnswer: 5671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 0, -1, 3, 19, -670 in descending order.\nAnswer: 19, 3, 0, -1, -4, -5, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i - 67. Let u(n) = 28*n - 133. Let k(r) = -3*u(r) + 5*w(r). Let t be k(6). Suppose 0 = 3*j + t*j - 2353. List the prime factors of j.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -10\/833?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27181 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 + -6.7. Sort -16, -2\/7, -0.3, o in decreasing order.\nAnswer: -2\/7, -0.3, o, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -6\/11 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in -0.5, 3\/4, 4, -29\/280?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0963 (b) 1350\/31 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 391*v - 24660.\nAnswer: (v - 60)*(v + 1233)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 4*a. Let y be (-26)\/(-8) + (-5)\/20. Let h(z) = -6*z + y*z - 9*z + 0*z - 6*z**2. Let k(b) = -7*d(b) + 2*h(b). Factor k(u).\nAnswer: 2*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 19, 25, 29, 31, 31, 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 9*i + 3. Let y be w(-5). Calculate the greatest common divisor of 44 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 507*w**5 + 511*w**5 - 1460*w**2 - 2804*w**5 wrt w?\nAnswer: -107160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(-2*l - 4*l + 5*l) + (-10*l + 1022 - 1022)*(4 - 4 + 2) - 5*l - 4*l + 4*l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**5\/35 + 3*t**4\/28 + t**3\/21 - 3*t**2\/14 + 4. Let k(p) = 0. What is p?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*m - 33, -4*m - m - 5 = -5*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9130, 9077, 9022, 8965, 8906, 8845?\nAnswer: 8782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2327734*k + 2327734*k + 8*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*a + 163*a = 1120 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3133*p**2. Let r(c) = -7*c**2. What is r(i(j))?\nAnswer: -68709823*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1677, -1473, -909, 195, 2019, 4743, 8547?\nAnswer: 13611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m - 85 = -2*r + 54*m, 3*r + 5*m + 110 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*o + 60, 5*o + 46 + 2 = 4*q. Suppose q*d - 80 = 4*d. Calculate the greatest common divisor of d and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*r**3*t + 4753*r**3 + r**2*t + r*t + 2*r - 38*t - 20 wrt r.\nAnswer: 30*r*t + 28518*r + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2336024411 from -2835.\nAnswer: 2336021576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0 + 1\/12*z**4 + 0*z + 6*z**3 - 6*z**2. List the prime factors of s(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 116 + -366?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369201538.\nAnswer: 2, 109, 6280741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1*(-2)\/6). Suppose 0 = -k*f + 2*c + 12, -2*f - c + 5 = 2*f. Suppose 5*w - f = p, 0 = -4*p - w - 15 + 70. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 + 55 = -3*m - 2*f, -3*m = -f - 374. Let u = 13 + 1. What is the remainder when m is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1281384 by 16428.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882392 is divided by 57039?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 403, 398, 393, 388, 383, 378?\n\"Answer: -5*t + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -426614 + 27?\nAnswer: -426576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-4)\/(-6)) + (-3)\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {h: 4, j: 2, f: 1, x: 1, y: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612812?\nAnswer: 2, 3, 134401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 57*b**2 + 408*b + 5204. What is k(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 99*w - 1. Let u(g) = -2*g + 1. Calculate -4*u(n) - x(n).\nAnswer: -91*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/102 and -38\/9.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 1 - (5 - 3 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 8) + 2 + 5. Suppose 0 = 2*z - 2*t - 2*t + 2, 0 = 2*z + 5*t - 7. Solve -f*u + l + 8 = -3*l, 5*l + z = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 + 6*y - 4. Let n(h) = -7*h**3 + 7*h - 4. Calculate -6*m(a) + 5*n(a).\nAnswer: a**3 - a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5313 or 5314?\nAnswer: 5313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 + -116. Let o be 5*(34\/20)\/((-4)\/(-8)). Calculate the greatest common factor of o and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**2 + 2*k - 2. Let l(t) = 3*t**2 + t - 1. Let b be (-14)\/(-64 + -6)*-20. Calculate b*g(z) + 9*l(z).\nAnswer: -z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Suppose -1 = -4*s - 5. Let f = s + 1. Let j(z) = 4*z - 2*z + f*z. What is p(j(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1535 (base 8) in base 9?\nAnswer: -1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 654\/(-954) - 2\/(-3). Let z = v + -3227\/318. Calculate the common denominator of 42\/13 and z.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/9 (b) -5 (c) 2 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -82\/3, -0.13, 1.7, -3\/5 in decreasing order.\nAnswer: 1.7, -0.13, -3\/5, -1, -82\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 16*h + 15. Calculate w(19).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + n**5 + 11*n**2)*(0 + 7 - 4).\nAnswer: 3*n**5 + 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + 4*l**3 - 2*l**3)*(-l**2 + l**2 - 2*l**2) + (l**4 + 1 - 4*l + 4*l)*(l + 3 - 3 + (183 - 110*l - 183)*(2 + 11 + 1)).\nAnswer: -1543*l**5 - 1539*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 + -122. Which is smaller: z or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 41*l + 337. Let c be p(48). Solve 5*q + 0*x = -x - c, -4*q + 3*x + 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 22085 = 4*u - 8371, -5*u + 2*m = -38052. List the prime factors of u.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1 + 12*n**2 - 11*n**2 - 1. Let w(y) = 12*y**2 + 0*y**2 - 13*y - y**2. Let f(p) = 5*p**2 - 6*p. Let l(b) = -13*f(b) + 6*w(b). Calculate c(l(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d - 2*t + 6, 0 = 4*t - 4. Let k be d\/((1\/(-5))\/(-1)). Solve 2*c - k = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/3 - 560*b**3\/3 + 77272*b**2\/3 + 105280*b + 106032 = 0. What is b?\nAnswer: -2, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (2 - -6) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**2 - 368616*b - 8492359716 = 0.\nAnswer: -46077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3655*u - 10477*u + 3638*u - 4 + 3180*u.\nAnswer: -4*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*g*q + 60*g - 92*q**2 - 11 wrt q?\nAnswer: 54*g - 184*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19385 is divided by 72?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4 - 1\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0313489 litres to millilitres.\nAnswer: 31.3489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -330, -663, -998, -1335, -1674?\n\"Answer: -g**2 - 330*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u = r - 75, 2*u - 76 = -2*r. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a = 33*a + 45. Suppose a = 24*j - 29*j. Sort 1, j, 5.\nAnswer: j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671606051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 559 and 1651?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 16) to base 8.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*l + 27 = 0, -5*u + 4*l + 25 + 9 = 0. Which is the third smallest value? (a) 6\/11 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 24 + 30 = 20. What is the nearest to -2\/5 in -18\/11, x, 2, -4?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -5 + 35 - (4 - 13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 208? (a) -2 (b) -1 (c) -4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-12)*w)\/((w**(-11)*w*w)\/w*w)*w**(-10)\/(w*w\/(w*w\/((w\/(w\/(w**(3\/7)*w))*w)\/w))))**14 assuming w is positive.\nAnswer: w**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -13 - 17) + -7 - -14 - -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1095127 and 53911.\nAnswer: 185076463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -42255324 (base 6) to base 11\nAnswer: -774932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 10*s + 2. Let l(d) = 21*d + 5. Let c be (8 + -11)\/((-3)\/(-7)). Let q(h) = c*n(h) + 3*l(h). What is the derivative of q(k) wrt k?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -313, -319, -327, -337, -349?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -61, -82, -103?\n\"Answer: -21*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 634579695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 + 1525*n - 13644 = 0. Calculate n.\nAnswer: 9, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(225) - (sqrt(25) - (sqrt(625)*-1 - sqrt(625))))\/(sqrt(15)\/((sqrt(1344) - sqrt(21))\/sqrt(7))).\nAnswer: -56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b**2 + b + 1. Let d(a) = 2*a**3 - 6*a**2 + 6*a + 6. Calculate -d(f) + 6*j(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3858190 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - (sqrt(48) + (sqrt(48)*-4 - sqrt(48)))\/sqrt(2)) + 5*sqrt(600))\/(sqrt(128)*2*6 - (1*sqrt(128) + sqrt(128) + sqrt(128))*6))**2.\nAnswer: 75\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(68))**2 + -1 + -2 - (0 + (sqrt(1700) - ((0 + sqrt(1700))**2 + sqrt(1700))) - (5 + sqrt(153)*-2)).\nAnswer: -6*sqrt(17) + 2791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -4, 38 in increasing order.\nAnswer: -4, -3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2223\/1170*(-40)\/(-1064)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**3 - 59*o + 59*o - 15*o**3 - 14*o**3 + 256.\nAnswer: -2*o**3 + 256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/3)\/((50\/1305)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/142*1)\/(-1). Let u = 423\/9970 - -50167933\/6370830. Let o = u + p. Calculate the common denominator of -19\/8 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1401*s - 157. Let k be v(25). Let l = -3486859\/100 + k. Find the common denominator of -59\/60 and l.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6210)\/(-144) + (-2)\/16. Suppose 2*p = -5 - 3. Let z = m + p. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 756134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 2*j + j - j - 4*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + 8. Let m = -47 + o. What is the second smallest value in -4, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1244040223331 + -3?\nAnswer: 1244040223323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.0182495.\nAnswer: 0.072998","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22602 or 22599?\nAnswer: 22599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 21. Calculate the lowest common multiple of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/81 and -101\/3086172.\nAnswer: 27775548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cciciccccqcii. Give prob of picking 1 i and 2 c.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - sqrt(304)*-2)*-2 - (sqrt(304) + (sqrt(304) - (sqrt(304) + 3 + sqrt(304) + sqrt(304) - sqrt(304))*4)))*-3)**2*-5.\nAnswer: -6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5709048 is divided by 518999.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiniqqqqqniiqqwqqidi. What is prob of picking 1 n and 2 q?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s. Let n(o) = -22*o - 1798. Calculate n(q(c)).\nAnswer: 352*c - 1798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 137*k + 313*k.\nAnswer: 445*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 13*b - 23*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1.1\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 41. Put c, -2, 2\/7 in descending order.\nAnswer: 2\/7, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/((-4)\/(-30)). Suppose 0*w - 2 = -2*w. Suppose o = -w + l. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 40. Let p = 9 + h. Let l = -7 - p. Put -2\/5, 1, l in ascending order.\nAnswer: l, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**4 + 3*u**3 - 3*u**2 + 2235*u - 169499.\nAnswer: 4*u**3 + 9*u**2 - 6*u + 2235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 1. Let y(t) = t**2 - 11*t + 9. Let m be y(10). Let n(u) = -2*u**2 + 2*u - 2. Let v(i) = i**2 - 6*i + 3. Let a be v(5). Give a*g(r) + m*n(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {x: 6, z: 1, v: 2, g: 8, b: 2, o: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:41 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*a**4\/2 + 6*a**3 + 63*a**2\/2 + 3*a - 12 = 0. What is a?\nAnswer: -1, 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6171115\/156 - 39558. Calculate the common denominator of g and -47\/4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j + 450368 = 55*j - 112*j. What are the prime factors of j?\nAnswer: 2, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-6 - -29))*(-3398)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p*(p**(2\/5)*p*p)\/p)\/p)\/p*p**(-2\/9))**(16\/7))**(7\/3) assuming p is positive.\nAnswer: p**(848\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -414453\/22 - -18835. What is the common denominator of p and -57\/74?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 6392 = 10*l. Does 47 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 19 - 23 = 0. Let y = z - 21. Sort y, -1, -2 in decreasing order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 - 9*n + 7. Let a be t(4). Suppose -3*j - 9 = -3*q + a, 0 = 2*q - j - 10. Suppose q*h - 1110 = h. List the prime factors of h.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 14*a + 36 = 0. Suppose -3 = -5*i + 12, -5*o - 2*i + 46 = 0. Calculate the greatest common factor of a and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 261\/18 + 2)*8\/18. Solve a*u = -8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114 is divided by 81\/6*(-2)\/15*-10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/16 and 95\/672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 0*t. Let y be 4 - (10\/(-25))\/(3\/(-30)). Suppose y = -3*c + 7*c. Put c, -4\/3, t, 1 in descending order.\nAnswer: t, 1, c, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*j**4*q - 9*j**2*q + 176*j*q + 2*j - 2*q wrt j?\nAnswer: -180*j**2*q - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzwzzzzzwzzzzzw. What is prob of picking 1 z and 1 w?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122944481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12861109.\nAnswer: 12861109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - 770\/(-98))\/(1\/98). Solve 5*c - x = -59 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*848\/648 - 4\/54?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 340 (b) 124 (c) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -35358*s + 1909340. Give g(54).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 435531623 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -241\/385 + 2\/77. What is the closest to 3 in v, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -234, 26, 5 in decreasing order.\nAnswer: 26, 5, 4, 0, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 9. Calculate z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-510)\/60*(0 - -2). Let f(v) = -v**3 - 19*v**2 - 37*v - 46. Let o be f(k). Solve -3*j + 6 = -o*s - 9, 3*j - 15 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -313, 2\/5.\nAnswer: -313, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41856, 83700, 125624, 167664, 209856, 252236, 294840, 337704?\nAnswer: 380864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -6.1 (c) -0.3 (d) 1\/31 (e) 1 (f) 1165 (g) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113179.\nAnswer: 11, 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123051682.\nAnswer: 2, 13, 4732757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 677873 or 38638744\/57?\nAnswer: 38638744\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3471 + 3476. Which is the third smallest value? (a) 0.3 (b) -5 (c) s (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -1\/4*d + 5 - 1\/20*d**5 - 1\/2*d**3 + 1\/4*d**4 + 1\/2*d**2. Solve n(z) = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p + 2. Suppose 2*m = -0*m + 4. What are the prime factors of k(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8855760 to the power of 1\/2, to the nearest integer?\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 40. Determine b(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 7*z - 4824. Suppose 14*p + z = 17*p. Is p a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:14 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (105\/(-9))\/(36\/(-27) + 1). Calculate the highest common factor of y and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1627495, -1627493, -1627491?\nAnswer: -1627489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, 10, -8, -28, -50, -74, -100?\n\"Answer: -p**2 - 13*p + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -19398?\nAnswer: -5819.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 12. Let q be c(1). Solve 0 = -z - 10 + q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -731 + 2c2?\nAnswer: -45e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1542640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 441 = -4*t, -4*t + 3*t - 4*d = -106. Suppose -4 = -2*p - 0. Suppose -p*i - t = -7*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1214*x + 7332. Determine j(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 15*k**2\/2 - 162*k - 62. Let h be t(12). Suppose -3*v = 2*i - 5*i - 15, 2*v + 3*i + 5 = 0. Solve 4*u = -v - h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -148*b**3 + 19*b**2 - 11*b - 11. Let l(w) = 73*w**3 - 10*w**2 + 6*w + 6. What is 11*l(g) + 6*n(g)?\nAnswer: -85*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53108313 to the nearest integer?\nAnswer: 7288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805335 is divided by 366.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**3\/3 + 2*r**2 + 1. Let s be x(-5). Suppose 0 = 3*l - i - 284, s*l - 376 = l + 4*i. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -1759*v**3 - 37*v + 36*v**2 + 0*v**4 + 16 - 19*v + 1773*v**3 - 10*v**4 = 0.\nAnswer: -2, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2387 and 55440?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -2\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18144, 17987, 17830, 17673?\n\"Answer: -157*m + 18301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-3) - 4\/2. Solve c = -3*h - 14 + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + v = -8 - 7, 0 = -2*v. Suppose 4*z = -2*q + 4*q + 20, -3*z + 15 = -5*q. Let g = -3274 + 3273.2. What is the nearest to 2 in i, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5829*u**2 - 17481*u**2 + 490 + 5821*u**2 + 5836*u**2 to the form g*u + x*u**2 + v and give v.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 76*r + 63. Give i(-39).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27529411\/20616 + 85\/2577. Let a = w - 1337. What is the common denominator of a and 95\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 21*n - 9. Suppose -5*j + 125 = -3*h, j - h = -n*j + 107. Let c = 466 - 458. What is the remainder when j is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3089211 is divided by 995?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 + 5*h. Let v(u) = 13*u**3 + 2*u**2 - 5*u + 1. Let a be v(-3). Let t = 321 + a. Calculate z(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -833, -1665, -2497?\n\"Answer: -832*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20508656 and 94031?\nAnswer: 4949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:13 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3 - 40*x**2 + 40*x**2 - 2*x = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 4*g + 4, g - 4 = 838*i - 836*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3422533931 to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1243)\/44)\/(-113) - (-19)\/(-140).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62, -125, -190, -257, -326, -397?\n\"Answer: -l**2 - 60*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 758 - 1564 - c**2 + 987 + 2*c + 0*c + 0*c**2 to the form s*c**2 + v*c + x and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-248)\/(-217))\/(2\/7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/9 + (-23)\/(-3). Suppose -5*h + c + 3 = 0. Let d(x) = -x**3 + x - 4*x**2 + 0*x**3 + 0*x**3 - h*x. Calculate d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1435143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0. Suppose 0 = 7*q - 3*q - 108. Let s be (-30)\/q*12\/(-20). Which is the biggest value? (a) s (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + -2 - (-1 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 329985\/(-36) - 3\/4. Let v = f + 14700. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*t - 7*t - 5*t + 23*t in the form w*t + b and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -53*z**2 - 647*z - 1928. Determine h(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 divided by -5?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7553 - 7*r**2 + 7879 - 15446.\nAnswer: -7*r**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 1462 = -23561. Let y = r - 28442\/9. What is the common denominator of y and -56\/39?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*x**3 - x**4 - 6*x - 8*x - 66*x**3 as i*x**4 + m*x**3 + r + j*x + v*x**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 15*y**2 - 32*y - 36. Let r be j(17). Let q(i) = 2*i**3 - 2*i**2 - 2*i - 3. Give q(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10983207 divided by 6947?\nAnswer: -1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/20*24*(-10)\/15?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 981aa3 (base 11) to base 6.\nAnswer: 53345001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115058 divided by -57529.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -13, 189, -2, 5.\nAnswer: -13, -2, 5, 9, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -3069859 and -3069863 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1652322 + 544*v - 1652322.\nAnswer: 544*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*c**5 - c**2*p - 2*c*p - c + 169*p wrt c.\nAnswer: -2280*c**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(360) + 1 - (sqrt(11) + 0 + 1 - sqrt(22)\/(sqrt(4)\/sqrt(2)))) + 5.\nAnswer: sqrt(11)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -15*y + 17*y, 4*y = -5*v - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3880384 years to months.\nAnswer: 4.6564608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -12. Suppose -3*g + s = 16. Suppose 18 = -5*k - 2*a, -727 + 737 = k - 3*a. Is g < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*n**2*z**2 + 277*n**2*z + n**2 + 6*n*z**2 - n*z - 9*n + 23 wrt n.\nAnswer: -38*z**2 + 554*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 8*i + 12. Let o(b) = -3*b - 4. Let f be o(i). Suppose -49*r = -47*r. Solve f*d + 3*v - 13 = r, -5*d = -2*v - 0*v - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*y - 4*b + 20, -7*b + 27 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -154393, -308798, -463217, -617656, -772121, -926618?\n\"Answer: -u**3 - u**2 - 154395*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26979803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 4371?\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602916273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 2*h**2 + 0*h**2)*(h**3 + 3*h**3 - 2*h**3) + 27*h**5 + 10*h**5 - 15*h**5.\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (2 + 2 - 7) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = -1. Suppose h*g - 36 = -g + k, 4*k = 16. Suppose -r = -3*r + g. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66037365 to the power of 1\/2, to the nearest integer?\nAnswer: 8126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 225877, 225989, 226173, 226429, 226757, 227157, 227629?\n\"Answer: 36*s**2 + 4*s + 225837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2190 and 21\/4.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-10)*10\/(-3). Let s = 16 + g. Let c(j) = 391*j - 31668. Let a be c(81). Solve -y + s = a*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4982000*z**2 - 46*z - 46. Let h be y(-1). What is h rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16695200 to the nearest one hundred thousand.\nAnswer: 16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v + 3 - 2 + 7 + v**2. Let z be l(10). Solve -z = 4*f - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20346 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Which is smaller: -32911654 or -8?\nAnswer: -32911654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(637))**2*5 + (sqrt(637) + -3*(sqrt(637)*-3 + sqrt(637) - sqrt(637)))**2 + sqrt(637).\nAnswer: 7*sqrt(13) + 92365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*j = 74, -4*p + 3*j = 17 - 77. Solve -5*v - 2*c + 23 = 0, 3*v = 2*c + c + p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 590827?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -x - 3*d + 13, -5*d = -x - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1356.75 times 8\nAnswer: -10854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -117 + 8?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, -0.48, 0.3, 2\/7.\nAnswer: -0.48, 1\/14, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 493 - 3947\/8. Sort -2\/15, b, 6 in ascending order.\nAnswer: b, -2\/15, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + 0*o**3 + o**3 + (-o**2 + 2*o - 2*o)*(-19*o - 23 + 23).\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2 - -1) + 49\/63?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -62, -62, -44, -2?\n\"Answer: t**3 - 19*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6378 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 696 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(288) - (1 + sqrt(288) + (sqrt(288)*-1 - sqrt(288)))))*5*4)**2.\nAnswer: -38400*sqrt(2) + 462400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p**4\/11 - 12682*p**3\/11 + 6686564*p**2\/11 + 15662632*p\/11 + 4477456\/11 = 0. What is p?\nAnswer: -2, -1\/3, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/42 + 19*24\/1064?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47298 - -87593. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.509671 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 777\/5 + (-6)\/15. Suppose -o + d = 4*d - r, -4*o - 3*d + 638 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1189.\nAnswer: -3\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -8.92. Let g = l + -0.02. Let u = 0 - -3. Sort u, 4, g.\nAnswer: g, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*b + 4*b - 7, -4*b + 16 = 0. Let d(a) = a**2 + a. Let i(s) = -2*s**2 + 3*s + 4. Let j(f) = m*i(f) + 3*d(f). Determine j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -420\/13 <= -0.9896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 71. Let l(h) = -2*h**3 - 5*h**2 + 6. Calculate the remainder when l(-5) is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 19*g + 22. Let w be k(18). Suppose 5*z + 8*d = 3*d - 200, z + w*d = -52. Let x be z\/(-15) - (-10)\/(-25). What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111011001000001 - 10101011?\nAnswer: -11000111011011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12124.7 rounded to the nearest 10?\nAnswer: -12120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -23, 4, -0.05 in decreasing order.\nAnswer: 4, -0.05, -1\/10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16742 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4)*-10)\/(123\/(-82))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-126) - (-255)\/350.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 226185 from 0.1.\nAnswer: -226184.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49814957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98.65 + 132.9. Let w = 229 - g. What is w rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 9*c - 4. Let m be d(-6). Let k be (4\/m)\/(4\/7). Find f such that -k*f**3 + 0 + f**2 + 0*f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 21 = 29. Solve 5*h - 7 = z*g, -5*h + 19 = -4*h + 4*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 3*n**3 + 0*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**2\/2 + 973. Let j(a) = 292*a. Calculate i(j(k)).\nAnswer: -292*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 37 - 7*g**2 as t + q*g**2 + z*g and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -6, 4, -64, 2 in descending order.\nAnswer: 4, 2, 0, -1, -6, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:20 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 0.1, 7\/2, -0.16, -0.1?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Suppose 18 + 30 = -c*x. Let j = -7 - x. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/((-4575)\/300)*(-2)\/(-7)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5139 and 7423?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-80))\/((-1)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (46 - 42 - 66)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.1. Let g be (-3)\/(-6) - 6\/20. Let u = -128 + 126. Which is the closest to y? (a) 5 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1576*t - 8163*t = -1928*t + 304629 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 - -104.4. What is the second smallest value in p, 2\/19, -1, 2\/7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c**3 - 4*c**2 + 11*c - 7. Determine g(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7479345.\nAnswer: 3, 5, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0) + 7\/14. Let p = -0.01 + -1.99. Let h = -0.67 + 0.67. What is the nearest to h in p, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64530358 or 64530360?\nAnswer: 64530358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:12 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 50600 = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.58 + -0.02. Let v = 0.196 + q. Let m = 0.4 + v. What is m rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*q - 666*q + 1813 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46298372054 and 0.038.\nAnswer: 46298372054.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = u - 3*u. Let b be 6\/u + (-1)\/(-2). Suppose b*z - z = -8. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1172 at least as big as -1319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -346699*((12 + -13)\/(1\/5) + 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60001294, 60001298, 60001304, 60001312?\n\"Answer: j**2 + j + 60001292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*357\/204*(-1)\/7. Let h(o) be the second derivative of 7\/20*o**5 - 1\/6*o**4 - 48*o + c - 1\/6*o**3 + 0*o**2. What is the third derivative of h(l) wrt l?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 5959*n**4\/24 - 5575*n**3\/6 + 840*n**2 + 4*n. Find the first derivative of p(k) wrt k.\nAnswer: 5959","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4557069 - -3?\nAnswer: 4557070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*q + 0*q - 3*q)*(77*q**2 + 0*q + 0*q + 156*q**2 - 18*q**2).\nAnswer: 3440*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from kakyakayk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-1)\/(-2*(-4)\/(-472))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7955 is divided by 2615.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 50*w**2 + w - 2. Let y be v(1). What is the highest common divisor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204304 is divided by 1204291.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -11. Let f be (-1)\/2 + (-16)\/(-20) + (-1)\/(-5). Suppose 343\/2 + 147\/2*v + 21\/2*v**p + f*v**3 = 0. Calculate v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 0*h - 1\/8*h**4 - 11\/6*h**3 - 3*h**2 + 0. What is the derivative of d(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -497 - -461.7. Let s = -35.491 - a. Round s to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 32*q**2 + 109*q - 81. Give s(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 15*h - 24. Let j(o) = 3*o - 5. Let c be ((-30)\/18)\/((-4)\/12). Let d(y) = c*g(y) - 24*j(y). Let z(f) = -16*f. Determine d(z(n)).\nAnswer: -48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -807\/7, 1, 5, -0.05, -6, -0.3, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.205 + -0.095. Let n = w + 12. Let m = n + 3.3. Which is the second smallest value? (a) -1\/4 (b) -2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 0 + 2\/21*a**2 + 2\/21*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.0165 + 0.8165. Is n < 532\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22367*m + 1 - 23208*m - 2)*(-2*m - 4*m + 4*m)*(-2*m + 3*m - 3*m - 2).\nAnswer: -3364*m**3 - 3368*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*o = 103*o + 67 - 187 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165713090 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.91 + -1.91. Which is the nearest to -1? (a) 28 (b) 3\/8 (c) -2\/11 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.1 (c) 17465 (d) -1062 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 + -0.02. Let v = -0.23 + l. What is the nearest to v in 0.3, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9. Let w(z) = 18*z - 1. Let p(n) = -2*k(n) - w(n). Let l = -9 + 3. List the prime factors of p(l).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 7:17 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 7*q**2 + 7*q + 7. Give v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-8))\/(2\/(-4)). Suppose 0 = -u*z + 3*z + 12. What is the remainder when 15 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 835 divide 566816370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.98 + -7. Let l = z - -0.0200032. Round l to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 26*a + 38. Let t be d(21). Let j = 22 - t. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -1\/3*v**3 + v**2 - 35*v + 1 + 1\/12*v**4. Give t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b7 - -32?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29961061 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.885210525052 and -26.\nAnswer: -26.885210525052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7\/2)*l*l\/l**12)**(-5\/8) assuming l is positive.\nAnswer: l**(135\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j**2 - 9*j - 9. Give q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 457 = 8*t - 9*t, m - 4*t = -148. Let d = m - -455\/3. Which is the nearest to 0? (a) 0.1 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 20 = -8*p. Is p\/6 - (-1443)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115722693469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.66 + 24.36. Is z < -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0591 - 179\nAnswer: -178.9409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 - 2) + -405 + 389.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -476*i**3*n*q - i**2*n*q - i*n*q + 5*i*n + 67*q + 2 wrt i.\nAnswer: -2856*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**6\/900 - r**5\/100 + r**4\/30 + 5*r**3\/6 + 2*r. Let b(d) be the second derivative of p(d). What is v in b(v) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 + 0*i**2 - 3*i**2 + (0*i - 2*i + 0*i)*(1 - i - 1) + 16*i**2 + 14*i**2 + 6*i - 28*i**2.\nAnswer: 6*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 - 5. Let q = -0.5 + o. Which is the nearest to q? (a) 5 (b) 1\/9 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/1*5\/15. Let z = o - 13. Suppose 0 = 5*a + 4*v - 800004, a + 0*a - 160002 = -z*v. Round a to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/28)\/(-1) + 7\/(-49). Which is the closest to -7? (a) 0.4 (b) -16\/5 (c) q (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0.3, -21\/2 in increasing order.\nAnswer: -21\/2, -3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(500)*-1)\/((1*sqrt(80)\/sqrt(4))\/((sqrt(40)\/sqrt(2))\/sqrt(4))).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*(sqrt(77) + 2*sqrt(77)) - (sqrt(77) + -2*sqrt(77)*3))\/((sqrt(121)*-2*-6)\/((sqrt(22)*1)\/sqrt(2))))**2.\nAnswer: -281\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from yilyyjjyl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125 - -1?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(60)*2)\/(sqrt(588) - -2*sqrt(588))*4.\nAnswer: 8*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02267 - 1.\nAnswer: -1.02267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 26*o**2 - 44*o**2 - 54*o**2 - 44*o**2. Let z(l) = -12*l**2. Give c(z(a)).\nAnswer: -16704*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/16871 or -1?\nAnswer: -2\/16871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 17794510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48590407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 take away 43?\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/42 + -2 + -3*30\/(-63).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + 0.02. Let r = -1.96 + u. Which is the closest to r? (a) -0.2 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-6009)\/(-87) + (-6)\/87\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172 + -170. Let h be q\/(-17) - 429\/(-1768). Which is the nearest to -0.1? (a) 2\/9 (b) 2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -66.5, -0.14, -0.8, -2\/13, -5, 0.01?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -19*b + 10. Let c(r) = -12*r + 3*r**2 + 23*r + b - 16*r. Let q(s) = -s**2 + s - 1. Give -c(z) - 5*q(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 40 - 6)*(146 - 146 - 92*s)*(0*s + s - 3*s).\nAnswer: 5704*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-4)*u**(-2\/17)*(u**(-2\/9)\/u)\/u**(1\/5))\/(u**(-1)*u*u**4*(u\/(u*u**3)*u)\/u*u*u**(2\/15)) assuming u is positive.\nAnswer: u**(356\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -5 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -0.49.\nAnswer: -0.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 - 43*i - 42*i + 85*i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 1)*(9324*o - 4665*o + 12 - 4666*o)*(-1 + 2*o + 1).\nAnswer: 14*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 65*s**3 + 14*s - 17. Let l(v) = 22*v**3 + 5*v - 6. What is -17*l(q) + 6*w(q)?\nAnswer: 16*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -355*k**4 - 341*k + 9. Let h(u) = 89*u**4 + 85*u - 2. Let t(y) = 9*h(y) + 2*m(y). What is the second derivative of t(x) wrt x?\nAnswer: 1092*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158.822 + -0.178. Let l = -159.2 - y. Which is the nearest to l? (a) -0.3 (b) 12\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -7, 13, 53, 119, 217?\n\"Answer: a**3 + a**2 - 4*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 4:48 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 977830103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -44. Which is the closest to 1\/3? (a) s (b) -5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 34*h - 57. Let s(w) = 410*w - 684. Let y(i) = -25*o(i) + 2*s(i). Calculate y(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 23. Suppose y - 2*m = k, 8*y = 4*y - 3*m + 50. Differentiate -y + 244*n**2 - 244*n**2 + 28*n**3 with respect to n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -164 - -163. What is the remainder when 12\/((h\/((-62)\/(-6)))\/(-2)) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 48*d**3 - d**2 + d - 1. Let s(n) = 2*n**2 - 6*n + 2. What is the remainder when c(1) is divided by s(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -21. Let m be n\/(-9) - 9\/((-81)\/48). Suppose 114 = 3*h + 3*q, h + m*q - 53 + 11 = 0. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -12*t + 4. Let p(h) = -h**2. Let j(b) = -12*b**2 + 1. Let w(x) = j(x) - 5*p(x). Give w(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/3 + 57290*g**2 - 1224506802*g - 270921677634 = 0?\nAnswer: -219, 43077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 579 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-6)*(-2)\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2366115 divided by 5.\nAnswer: 473223","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -1889986 divided by 1?\nAnswer: -1889986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 189278*b + 48900288 = 0. What is b?\nAnswer: -258, 189536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24448264*x + 5137469.\nAnswer: -24448264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 119 = -151. Calculate the remainder when 60 + (g - 0\/6) + 2 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14 from -0.132.\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000203439 rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 4. Let a be d(4). Let s = 8 + a. Solve 5*t = 7 + 8, s = -5*y + t - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 18336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894978.\nAnswer: 2, 919, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + z + 102 = 3*f - 7*z, 73 = -4*f - 5*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -133004330104?\nAnswer: 133004330111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 3*t - 12. What is o(8)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -729*n - 149. Let j(a) = -365*a - 69. Determine -6*b(r) + 13*j(r).\nAnswer: -371*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146012.\nAnswer: 2, 173, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-30)*50\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-6))\/(((-108)\/8)\/(-9)). Sort -2\/3, 4, 0, -1.4, s in descending order.\nAnswer: 4, 0, -2\/3, -1.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19134039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -336*a**5\/5 - 305*a**3\/3 - a**2\/2 + 1130. What is the third derivative of d(m) wrt m?\nAnswer: -8064*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-4)\/q))\/q*q*q\/(((q*q\/((q*q**(-6))\/q))\/q)\/q)*(q\/((q\/(q**1\/q*q))\/q))**(3\/4))**(-2\/41))**22 assuming q is positive.\nAnswer: q**(-110\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/32*-4)\/(3\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 6*-2*sqrt(72)) + -1 + 3*sqrt(72) + 4 + -4)**2.\nAnswer: -192*sqrt(2) + 18433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 7. Let z be (1\/7 + -1)\/(2\/14). Let m be s(z). Solve 0 = 3*y - 5*n - 27, 4*n = m*n + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4680*i + 42131 - 215291 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4998 = 4995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v + 2 + 3*v - 1 - 3. Let p(d) = -2*d - d + 4*d + 1 + 0*d. Let n(r) = 2*h(r) + 5*p(r). Calculate n(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*l**4 - 11*l**5 - 45*l**4 + (-2*l**2 + 1 - 1)*(4 + l**3 - 4) + l - l - 2*l**5.\nAnswer: -15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {y: 1, j: 1, a: 1, b: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 105\/(-28) + (2 - -3) + (-1581)\/1156. Which is the nearest to -7.5? (a) 4\/5 (b) r (c) 0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*g**3 - 10*g + 147?\nAnswer: -15*g**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.934 - 27. Let y = -3.034 + l. Let z = -1.1 - y. Which is the closest to 1? (a) -2\/3 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5513650 and 10.\nAnswer: 5513650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 16 = -171*m + 172*m, -2*m = 4*z + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000 (base 2) to base 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*3\/(-27)*-270*(-12)\/24. What is the greatest common factor of 1770 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49649*z**3 + 1295*z + 3742*z**3 - 1295*z.\nAnswer: 53391*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 8*v + 1. Give b(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024406 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let a = 2 - g. Suppose -9 = -6*f + a*f. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1739bb?\nAnswer: 1739b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 15. Which is the second biggest value? (a) z (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*o**2 + 506*o + 529.\nAnswer: (11*o + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 = -7*d. Calculate the remainder when (-615)\/(-55) - (-4)\/(-22) is divided by 6\/3 + d + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570565009 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 429, 655?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*g**3 + 2*g**2*x + 599*g**2 - 1889*g*x + 283*g wrt g.\nAnswer: 978*g + 4*x + 1198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39073112 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbntbtt. What is prob of sequence ttq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + -2)\/(3\/2). Let w be (-5)\/o - (-2)\/8. Let z be ((-5)\/2)\/(w\/2). Put 2, z, 1 in decreasing order.\nAnswer: z, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03223 times -2?\nAnswer: -0.06446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290.793 - -3.607. Let y = -289 + z. Round y to 1 decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {a: 1, h: 1, o: 2, q: 2, y: 1, l: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, v: 1, a: 2, o: 4}. Give prob of sequence lvlo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 184?\nAnswer: -3\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoy when three letters picked without replacement from oyoosyo.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1331)*-2 - (-2 + 2*sqrt(1331)))**2*-2.\nAnswer: -266208 - 880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from vcyybcyjjyvjcccynv.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179702 - -331795. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -445 by -5.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3 - 22 + 10 + 112*i to the form q*i + p and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*z + 25. Let h = z + -21. Suppose 0 = -h*w - 2 + 8. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + ((-4)\/(-32) - (-41)\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 22 + 22 + (-182 - 1).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 169 - 179 = -3*u, 6 = 2*u. Which is smaller: 64\/41 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-10))\/((-135960)\/10300)\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and 217533.72.\nAnswer: 217534.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 754 - 745. What is the greatest common divisor of 12 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.516833 micrograms in milligrams?\nAnswer: 0.000516833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 776712 - 1514588549\/1950. Calculate the common denominator of -23\/150 and f.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952228 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372788 and 388089.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2229 divide 3747018099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348517.\nAnswer: 13, 17, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 211*s**2 - 2864*s - 20987. Give t(-197).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.081 + -1.919. Sort -0.5, -3.8, w, 0 in ascending order.\nAnswer: -3.8, w, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 1, a: 1, r: 5, o: 2, u: 4}. Give prob of picking 2 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 6:46 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 723040 a multiple of 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 13 + 45. Calculate the remainder when 413 is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 61*u - 12 - 62*u)*(-7*u + 2*u**4 + 7*u).\nAnswer: -2*u**5 - 34*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 314087826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383087266 to the power of 1\/3, to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:11 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 13 - (6 + 3 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/b**0)))**29)**(-12) assuming b is positive.\nAnswer: b**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*f + 3 - 12, j = -2*f + 6. Suppose -j*x + 2805 = 5*q, -5*q + 3*q - 4*x = -1122. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - 7. Let r = p - -32.7. Let v = r - 1.2. Which is the third smallest value? (a) 3\/8 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3891 is divided by 1854?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34592.56 rounded to the nearest 10?\nAnswer: -34590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 135*m + 136*m - 268*m + 5 - 6 - 4. Let x(k) = -4*k. What is j(x(u))?\nAnswer: -12*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438307 = -73*l + 439475 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from 4102.\nAnswer: 4101.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -16*t**2 + 19*t + 42. Let p(s) = 12*s**2 - 15*s - 32. Give 7*n(i) + 9*p(i).\nAnswer: -4*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 + 2*a - 1. Calculate the least common multiple of 4 and j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167817497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/63 + ((-776)\/(-336))\/((-4)\/(-6)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7809.6231ns?\nAnswer: 0.00000000216933975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.03.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 379288797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.75 (b) 4 (c) 0.4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7130\/35 + (-2)\/(-7). Find the third derivative of 209*b**2 + 2*b**6 - w*b**2 + 4*b**6 wrt b.\nAnswer: 720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + n - 1. Let w(r) = -2*r**2 + 15*r + 8. Let i(p) = -3*l(p) + w(p). Let a be i(-11). Factor a - 2\/9*t**2 - 2\/9*t.\nAnswer: -2*t*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -710.4 times 0.1297?\nAnswer: -92.13888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-5)\/(-15)*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by 14?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 241*u + 241*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(sqrt(1088) - ((sqrt(1088)*3 + sqrt(1088))*3 + sqrt(1088) - sqrt(1088)))**2*6.\nAnswer: 789889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*p - 273 - 294 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4160 is divided by 476.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, -0.11, -4\/3, -5.\nAnswer: -5, -4\/3, -1, -0.11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/420 and ((26696\/144)\/47)\/(12\/(-2))?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22473 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 95 - 19 = 0. Let g = 21 + l. Suppose -3*u = g*f + 2*f - 14, 2*u = 5*f + 17. What is the least common multiple of u and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 2*r**2 + 0*r**2 + (-2*r - 3*r + 7*r)*(-r + 2*r - 2*r) + 0*r**2 + 3*r**2 - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-9)\/(-5))*(-1838)\/(-1838). Let p be (-36)\/10*(9 + 1). Which is the second smallest value? (a) p (b) 2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24 (b) 2 (c) -4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 7*r - 3. Let n be l(6). Suppose -6 = n*b - b. Let f(d) = -d - 2. Let y be f(b). Which is greater: y or -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-16))\/(2\/(-20)). Solve 0 = -o*h + 9*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159566, -159567, -159568, -159569, -159570, -159571?\nAnswer: -159572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361, -2438, -8029, -18892, -36785?\nAnswer: -63466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 3864.\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 363, 362, 361, 360?\n\"Answer: -v + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107.7 - -0.0624?\nAnswer: 1107.7624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 24*n**2 - 21*n + 51. Let t be m(-23). Let c be -4 + t + (-44)\/32. Put 0.4, 22, c, 2\/23 in descending order.\nAnswer: 22, 0.4, 2\/23, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.59 - 26.154. Let h = -0.064 - l. Round h to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a. Suppose 5*h + 2*y = 46, -2*h = -y + 4*y - 14. Let t(s) = -h*s + 5*s - 2*s - 5*s. Calculate k(t(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43583 is divided by 43561.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56268 and 48492?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*a = 13 - 29, -2*i + 14 = 3*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 540, 879, 1264, 1695, 2172, 2695?\nAnswer: 3264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/51, 55, -523.\nAnswer: -523, -2\/51, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/44592 and -97\/6376656.\nAnswer: 6376656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 411272*u**3 + 15310*u**2 - 9*u.\nAnswer: 2467632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*x = -0*t - 17, 5*t - 1 = 4*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 444, 666, 888?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5098?\nAnswer: 3\/5098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y + 32. Suppose 3*h = 5*x - 38, x + 0*x + y = -2*h. Let t(v) = -v**2 - 10*v - 7. List the prime factors of t(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -37. Let c = 34.966 - p. Let z = c - 0.361. What is z rounded to 2 decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545176?\nAnswer: 2, 68147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4 + sqrt(288))*6*-3 - ((sqrt(288) - (sqrt(288) + sqrt(288)*4))*1 + (sqrt(288) + sqrt(288)*-2 + sqrt(288) + sqrt(288))*4))**2.\nAnswer: -31536*sqrt(2) + 98641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25908374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2045354603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*a - 93 = 0, -4*c + 4*a - 56 = -2*c. Let j be 12\/c + 304\/10. Is (24\/10)\/(2\/j) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*v - 11. Let p = -7609 - -7607. What are the prime factors of (p - 319\/(-2))*v\/15?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-8)\/6)\/((-72)\/(-162)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-507)\/39)\/(0 + -1). Suppose b*l + 91 = 20*l. Let k = 19 - -44. What is the remainder when k is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 174.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 3, d: 1}. What is prob of picking 1 s and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*p + 2*p. Let g be -3 + ((-594)\/(-210) - (-2)\/(-5)). Which is the biggest value? (a) g (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(98)*1 - sqrt(98))**2 - sqrt(98).\nAnswer: -7*sqrt(2) + 4802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1434548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(720) + 1 - (-2*sqrt(605) + 2 - (2 + 0 + sqrt(605) + sqrt(605))))**2.\nAnswer: -112*sqrt(5) + 15681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/8 + -4)*4. Suppose 11 = c*r - 33. Is r - 0 - 1*-4 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-20782.\nAnswer: -83128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 - -264. Let y = 185 - q. Let t = -9 + 19. What is the highest common divisor of y and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -48 + 19\/2*b - 1\/4*b**2 = 0.\nAnswer: 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-4 - -4) - 3. Let m(x) be the third derivative of -x**5\/60 - 7*x**4\/24 + 2*x**3\/3 + x**2. Let d be m(j). Solve -b = b - d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.027 * -28.\nAnswer: -0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*d + 23, -2*d - 16 - 9 = -5*g. Solve l - 5*l = 2*z - 6, g*z + 3*l = 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - 1216?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 816517, 1633014, 2449511?\n\"Answer: 816497*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhssvhshhs. Give prob of picking 1 v and 3 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 3\/4, 2\/3, 1\/3, 2\/263 in ascending order.\nAnswer: -3\/5, 2\/263, 1\/3, 2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21015565.\nAnswer: 5, 4203113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-2 - 3) + 8 - (0 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a**2 - 5*a + 6. Suppose 19*z - 16*z = -5*x - 30, 0 = 3*x + 9. Calculate the remainder when y(z) is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.43373189 rounded to one decimal place?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = -55. Suppose 3825 = -38*o + 25. Let l = c - o. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280024 is divided by 878.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -458 smaller than -7.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 - ((3 - 6) + 6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53673 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-19))\/(12\/(-6)). Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-451484))\/(51705\/(-1460412684)). Let u = 2\/633865 + i. Let d = u + -6\/31. What is the smallest value in d, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1097486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -323*h - 2592. Determine j(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(88)*3)\/(2*-3*sqrt(8))*-4.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 8 - 12)*(4 - 4 + 1)*(0*v - 2*v + 0*v)*(-1 + 6 - 1) to p + k*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**4 + 5*m**3 - 2*m**2 + 5*m - 5. Let r(i) = 2*i**3 - i**2 + 2*i - 2. Let x(u) = 6*f(u) - 15*r(u). Find the third derivative of x(g) wrt g.\nAnswer: -144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m, 5*m = -4*x + 148 + 144. Suppose -x*d = -63*d - 850. What is the remainder when d is divided by 48?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -768 divided by 1.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + 2?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*g - 58, 5*g + 0*l - 80 = 5*l. Let i(s) = -s**3 + 2*s**3 - 2*s**3 - g*s**2 - 39 - 8*s + 24. What is the units digit of i(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002019 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 18. Does 4 divide x(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2\/17 + 315976*m\/17 - 631960\/17 = 0.\nAnswer: -157990, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 553488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 114 + -44?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 492, 737, 982?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -460*z + 24483. What is h(53)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41282861?\nAnswer: 23, 37, 139, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -0*f - 28. Let y(x) be the first derivative of -1\/6*x**4 - 2\/9*x - 5\/9*x**2 + f - 14\/27*x**3. Suppose y(i) = 0. Calculate i.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = g + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*l + 277034 = 0, 65*u - 5*l = 69*u - 277019. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -416 in 2, -3, -2\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10212 (base 4) to base 14\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14254517 is divided by 88.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/1883 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*z - 720 = 235*z. Let b be (37\/(-148))\/((-2)\/z). Solve 28 = -b*o + 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpuaaabupjybbybuab. What is prob of picking 1 a and 1 j?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 87, 99, 119, 147?\n\"Answer: 4*s**2 + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(117))\/sqrt(9) - (1*sqrt(1573) - sqrt(1573))) + -3.\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w = 18*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -10. Let b = 8 - s. Suppose -3*v = b*m - 2219985, -m = 2*m - 5*v - 2220025. What is m rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-144) + 4*4\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 6*i + 2. Let a be d(6). Let v(w) be the second derivative of -2*w**a - 1\/6*w**3 + 0 + 6*w. Give v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9069, -9076, -9083, -9090?\nAnswer: -9097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15775, -63112, -142009, -252466, -394483?\nAnswer: -568060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28612 divided by -46?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12*g = 0. Let w = 403.2 - 401. Sort 3, g, w, 1\/2.\nAnswer: g, 1\/2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 1. Let b be v(-2). Let c = -119 - -1070\/9. What is the second smallest value in c, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45884 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s - 5, 2*u + s = 11. Let f(k) = k - 2. What is f(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-21.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t - 25*t = 0. Sort -3, t, 2 in descending order.\nAnswer: 2, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6397128 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Suppose -8 = -j*s + t, -2*s = 5*t - 2*t. Suppose -s*x + 2 = -1. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004389 rounded to 5 dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 80*p - 2554. Calculate r(19).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o. Suppose 0 = j - 0*j + 2. Let g be d(j). Suppose w = -2*z + 5, g*w - 2*w = 5*z - 32. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.37? (a) 4\/3 (b) -3\/10 (c) 277 (d) 0.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1388\/5, 1 in ascending order.\nAnswer: -1388\/5, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.1 (c) 3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, h: 3}. Give prob of sequence hv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-42) + 0 - 12\/(-84).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 138309.5 and 5?\nAnswer: 691547.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9590 - -20330. Let s = k + -322057\/30. What is the common denominator of 59\/24 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a\/(a**(1\/3)*a)))\/a**2)\/(a**(-2)\/((a*(a*(a*a\/a**(-17))\/a*a)\/a)\/a)))**(6\/19) assuming a is positive.\nAnswer: a**(116\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**3 - 44*l**2 - 3*l + 44. Let g(m) = m**3 + 2*m**2 - 2*m - 1. Let d(t) = 6*g(t) - z(t). What is the tens digit of d(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q - 4*r + 416 = 0, q + 5*r = 124. Suppose -t - q = -b, 2*t - 7*t - 430 = -3*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/18 and -143\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 23. Suppose -s*i - 158124 = -50124. Round i to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 5*q**2 + 6*q - 5. Let a be p(4). Let l = -4.24 + 4.74. What is the nearest to -2 in l, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.3668145 to 1 decimal place.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -147 (b) -4\/3 (c) -1\/9 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - q - 9, -4*q + 24 = 2*i + 2*i. Let p = i + -4. Calculate the remainder when p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-6)\/4*(-316)\/237\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 + 2*x - 1. Let y(m) = -1. Let l(h) = -f(h) + 2*y(h). Let z(p) = p**2 - 4*p + 3. Let i be z(3). Let v = -1 - i. What is l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -10)\/(2\/(-54)). Suppose k*d - 31*d = -8. Solve 4*b + 10 = d*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 19*o**2 - 22*o + 44. Let d be t(20). Suppose d*k - 1 = 79. Calculate the smallest common multiple of k and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3726 (base 13) to base 2\nAnswer: -1111001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4*1141\/644 - 0.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -266*t**2 - 6*t. Let b(m) = 4256*m**2 + 98*m. What is -3*b(s) - 49*z(s)?\nAnswer: 266*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = h + 30*u - 28*u, -8*u + 74 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-212)\/265)\/((-1)\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 + (-481)\/2. Let v = 427 + n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 198810 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10011011?\nAnswer: 10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 - 21*j - 75. Let d be u(-3). Let t(o) = -11*o**3 + o**2 + 2*o + 2. Let q be t(-2). Let a = d + q. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*d**5 + 18*d**2 + 5*d + 49 wrt d?\nAnswer: 1700*d**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -563.\nAnswer: -506.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5519768, -11039528, -16559288, -22079048?\nAnswer: -27598808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -420, -635, -852, -1071?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-43500)\/(-40))\/(-29))\/(80\/(-64)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*s = -s. Suppose n + 8 - 12 = s. Let i(b) = 2*b**3 - 4*b**2 - 3*b - 2. What are the prime factors of i(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*f - 17 = 2*f, -4*f - 8 = 0. Suppose -a*q = 3*w - 408, -2*q = -w - 2*w + 388. Does 43 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 23 = -121. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 528086 or 528085?\nAnswer: 528085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -290446*h**3 - 9318 wrt h.\nAnswer: -871338*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n = -302 + 19 + 17 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-34)\/(-165) - 16\/88. What is the third biggest value in 0.1, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 0*z - 1 + 3*z)*(-24241 - 6021*z**3 + 299*z**3 + 24241).\nAnswer: 5722*z**4 + 5722*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 6, -6.2, -4 in descending order.\nAnswer: 14, 6, -4, -5, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -3722290 = -3722291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 586 and 15529.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 15\/((-735)\/161). Sort -1\/2, 1\/25, t.\nAnswer: -1\/2, t, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 18. Let n(m) = -4*m + b - 2 + 3*m + 0. What is n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 496? (a) -581\/5 (b) 1\/4 (c) -0.4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28 and 277368872.\nAnswer: 277368900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a - 122. Let i be l(-14). Put 2, -33, i, 5 in decreasing order.\nAnswer: 5, i, 2, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*d - 72, -4*d = f + 49 - 6. Let n = f - -29. Solve -4*m - 2*q + 16 = 0, 4*q + 0 = 5*m + n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 7*r - 11. Let l(j) = j**3 + 5*j**2 + j + 7. Let m be l(-5). What is the first derivative of 2*q**2 + r + 0*q**m + 3*q**2 wrt q?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by -6498.\nAnswer: 34\/1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - v - 2 + (-22*v + 54*v + 22*v)*(-2 + 2 + 1))*(6*v**2 + 3*v**3 - 6*v**2) - 6*v**4 + 2*v**4 + 2*v**4 as t + y*v**2 + r*v + a*v**4 + q*v**3 and give a.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5 + 1\/2*p + 1\/10*p**2.\nAnswer: (p - 1)*(p + 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:14 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -101c?\nAnswer: 101c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182953, -365905, -548857?\nAnswer: -731809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 4 - 4)*((-o**3 - o**3 + 0*o**3)*(1 - 4 + 1) + (103*o**2 - 103*o**2 - 22*o**3)*(3 - 6 + 1)) to z*o**2 + g + r*o + p*o**3 + b*o**4 and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - 1 + 9 + 5 + 2*d**4 wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -45. Let w = 0.727 + -0.627. Which is the fourth smallest value? (a) w (b) -5 (c) z (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.27 - 4.97. Let w = a - 13.5. Is w at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3 + 0*a + 4*a + 19*a**2 - 8*a. Let q = 16 - 8. What is the least common multiple of o(-1) and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l. Let z(a) = -4*a. Let o(c) = -4*y(c) + 5*z(c). Let i(n) = -24*n**2. Calculate i(o(w)).\nAnswer: -384*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1110110001000 (base 2) to base 10\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 5. Let l(c) = -9*c + 11. Let g be l(9). Let a be -2*(g\/(-4))\/(-5). Let o be f(a). Calculate the greatest common divisor of 72 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 0 + 10\/3*a - 2\/3*a**3 + 8\/3*a**2 = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 = 4*v, -3*v - 36 = -u - 39. Calculate the smallest common multiple of u and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 6:50 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 12:26 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1342619*j**2 - 2*j**3 + 1342619*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7891 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3212545 millilitres in litres?\nAnswer: 0.0003212545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*s - 30, s + i + 29 = 6*s. Which is the third biggest value? (a) -3 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*m - 3195, -3*m + 3*r - 1287 = -m. Let j = -539 - m. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*t + 2*t - 263755, -2*n = 5*t - 263740. Suppose 3*m + 13750 - t = 0. Round m to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - (-9 + (-15 - -20)) - -11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/22484520 and 17\/31228500.\nAnswer: 562113000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 2337, -2 in decreasing order.\nAnswer: 2337, 8, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134 is divided by 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 33?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232\/13957 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*f - 4*f + 0*f)*(2 - 2 + 1) + 1 - 1 - 3*f as k*f + j and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(130)*-2 - sqrt(130)) + -6*-2*sqrt(130))\/((sqrt(40)\/sqrt(4) + sqrt(10))*-4 - sqrt(30)\/sqrt(3)*4))**2.\nAnswer: 637\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 561 (b) 24 (c) -35 (d) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -125*v + 8080 + 85310 + 748860. List the prime factors of v.\nAnswer: 2, 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/9*(-2475)\/2200*24\/(-10).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10120 = 9591*i + 94062 - 207480 - 346421 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 48*q + 483. What is the hundreds digit of p(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4549 take away -0.825267?\nAnswer: -4548.174733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 2 = 59. Solve -q*t - t = -2*p - 14, -2*p = 5*t + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2. Let g(i) = -21*i**2 + 8*i. Let q(m) = g(m) - 6*j(m). What is the second derivative of q(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*5*(-2)\/8. Suppose g*d - 2*k = -k - 89, -88 = 5*d - 2*k. Let n = d + 21. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 6*j**2 - 8*j + 9. Let t be w(7). Suppose 25 = 5*c, 4*c = -t*i + 60 + 62. Let s = -2 + i. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2. Let h be 1\/2 + 18\/12. Let z(m) = 6*m - h*m - m. Determine z(c(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 160117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5752969 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4276 + -27017?\nAnswer: -22521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 15 + 445*m**2 - 442*m**2 in the form x + n*m + y*m**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 2 + -21 + -10 + 17 + -89?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/(l*l**(-1\/29))))\/(l\/l**2))**(-31))**(5\/2) assuming l is positive.\nAnswer: l**(-6665\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/9 + 35*q**2\/9 + 592*q\/9 - 1316\/9 = 0. What is q?\nAnswer: -14, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20014200 rounded to the nearest 100000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 6. Let f(p) = -2*p**2 + 4*p + 5. Let o be f(q). Let i = -25 - o. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 2)*2 - 0. What is the highest common divisor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-36)\/(n**(-2\/55)*n) assuming n is positive.\nAnswer: n**(-2033\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 291. Let o(v) = v**2. Give k(o(m)).\nAnswer: 2*m**2 + 291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 22 - a**2 + 14 + 4 + 9. Suppose -2*v = -6*v - 32. Let d = v - -4. Give f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0066 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times -13.2?\nAnswer: 3.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42084?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let t be j(4). What are the prime factors of 3 - 0 - t*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.7 - 18.8. Let t = d - -142.5. Let p = -124 + t. Which is the closest to p? (a) 0 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 250, -2, 0.5, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.066 - 30.934. Let g = 22 + r. Let d = -1.2 - g. What is d rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102300 + 1?\nAnswer: -102255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-2))\/(9603\/37539).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*d**3 - 25*d**3 + 142*d + 4*d**3.\nAnswer: -55*d**3 + 142*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - -1 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -44943.\nAnswer: 20\/44943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1551599, -1551601, -1551603, -1551605, -1551607, -1551609?\n\"Answer: -2*p - 1551597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7817994)\/(-310590) + 12\/(-70)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*s + 5*p, -270 = -5*s - 7*p + 2*p. Suppose -3*o + 5*o - s = 0. Let b = -10 + o. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5 = 2*m, -2*m = 313*h - 161*h - 157*h + m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -2. Let n = -0.101 - -1.041. Let f = -0.06 - n. What is the smallest value in 0, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 603\/21 + -4 + (-30)\/(-7). Let d = l - 49. Which is smaller: d or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k = -5*i + 59*k + 26, k + 2 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 2, v: 7, d: 1}. Give prob of sequence pd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1009 + -132.6645925.\nAnswer: 876.3354075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -84, -213, -446, -819, -1368, -2129?\nAnswer: -3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 662 = 5*w + 2*k, 29*k - 24*k = -20. Let r = -54 + 81. What is the remainder when w is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**4\/3 - s**3\/3 - 2094*s**2. Suppose -d = -2*d - 2. What is y(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 4615914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 46, 154, 312, 526, 802, 1146?\nAnswer: 1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 763831223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 2. Let g be j(4). Let d be 7 - (3 - g\/(-1)). Suppose 0 = y + y - d. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/3, 3, -51, 0.1 in ascending order.\nAnswer: -51, 0.1, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-9 - 2 - -24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1382 divided by -1382\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-6 + -5 + 6 - -18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/g*g\/(g\/(g**(-1\/4)\/g))*g)\/(g*g\/(g*((((g\/(g*g**(-1\/3)))\/g)\/g)\/g)\/g))**22 assuming g is positive.\nAnswer: g**(-8753\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/((sqrt(72) + (sqrt(72) - -1*sqrt(72)) - sqrt(72))\/sqrt(12)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80ce + -d8?\nAnswer: -81b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9931 - -49357\/5. Let a = 1091\/10 + m. Find the common denominator of a and ((-1)\/((-1)\/(-21)))\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 10*y**2 + 7*y + 12. Let n be x(9). Let s be (-2)\/(-68)*(-2 - n). Is s less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 6*z + z**2 - 8*z - 166 + 2*z**2.\nAnswer: 3*z**2 - 14*z - 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30631 and -4311497?\nAnswer: 4342128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 times 0.1109?\nAnswer: -65.8746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-9)*(1 - (-4 + 20)). Let o(u) = u + 3. Let p be o(k). Which is bigger: p or 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47197633*l**3 + 3*l**2 - 27742*l + 778.\nAnswer: -283185798*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354 and 102306.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-18) - 11\/3. Let j(o) be the second derivative of -o**4\/6 - o**3 + 3*o. Calculate j(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(20\/(-6) + 2). Let k be ((-13)\/9 + 64\/144)\/((-2)\/6). Let y be ((-1)\/(-18))\/(2\/(-8)). What is the fourth biggest value in l, y, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20323000 + -3012?\nAnswer: -20332012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.2 (c) -4 (d) -24446\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 22*n - 259. Let z be g(12). What is the highest common divisor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + j**3 + 3*j + j**3 + 6*j**3. Suppose 0 = f + 3*f + 2*s - 14, 4*f - 32 = 4*s. Let g be a(f). Round g to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -22.99?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -825 - -4471. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18266316 and 744?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**6\/30 - 2*a**2 - 4*a + 1. Let u(d) be the first derivative of s(d). Differentiate u(k) with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -4, -22\/23, -5?\nAnswer: -22\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 2:49 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*w - 2*o = 146*w - 10, 32*o + 120 = 2*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 40*c + 482. Let v be b(-12). Let i(z) be the third derivative of 1\/6*z**4 + 1\/3*z**3 + 0*z + 1\/30*z**5 + 0 - 12*z**v. Let i(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 85?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14903405 and 5115.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 1629894767.\nAnswer: 1629894762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-27) - 152\/(-3). Let g = s + -7. What is the remainder when g is divided by (-852)\/(-54) - 6\/(-27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47484 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 3 (b) 5 (c) 26 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00090863 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 128*x + 1028. Let q be t(-8). Solve -v - z + 2 = 0, -q*v - 13 = -2*z - z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 14*g - 11. Suppose g*z - 23 = -n, 5*n = 2*z + 6*n - 13. Suppose -z*h = -431 + 216. Calculate the highest common factor of 387 and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zco when three letters picked without replacement from yzkoyzco.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:51 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01478515 to 5 decimal places.\nAnswer: 0.01479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-6)*((-1092)\/(-7280))\/(16\/20*1)\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i + 735 = 0, 0 = -4*w - 4*i - 1943 + 2019 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.8 - -14. Let i = 5 + -10. Let d = 0.7 - 0.2. What is the second biggest value in i, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 2\/20865, 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 4)*(z + 2*z - 2*z) + 3*z - 4*z + 3*z + 2049 - 345 + 2*z + 2997)*(-1 - 1 + 0).\nAnswer: -10*z - 9402","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1821 - 1815. Let s(b) = 2*b - 9. Give s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8813?\nAnswer: 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.028 (b) 3\/5 (c) 59\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -67\/8*l**4 - 1\/30*l**5 + 0*l - 120*l**2 + 47\/30*l**6 + 0 + 0*l**3. Find the third derivative of u(y) wrt y.\nAnswer: 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -29*q**2 + 6. Let m(n) = 30*n**2 - 7. Let a(x) = 6*m(x) + 7*o(x). Let f(c) be the first derivative of 2*c**3\/3 + 2. Calculate a(f(s)).\nAnswer: -92*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -47 (b) 0.3 (c) 3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 162, 243, 324, 405, 486?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -422*l**2*s**3 - 2*l*s**3 + 1000*l*s**2 wrt l?\nAnswer: -844*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 186\/(-20) - (0 - 2) and -73\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44434, 88878, 133324, 177772, 222222, 266674, 311128?\nAnswer: 355584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.1. Suppose 5*l - 335 = -4*t + 369, l = 3*t + 137. Let n = l - 139. Which is smaller: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1015161 + 1?\nAnswer: 1015162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(5) - sqrt(19)) + -4 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or 39?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 - 3*o**5 + 2*o - 4*o - 2*o**4 + 2*o**4 - 3*o**5 + (0 - 1 + 0)*(0*o**5 + 0*o**5 + 2*o**5) - 6*o**5 - o**5 + 3*o**5 - 5*o**5 + 4*o**5 - o**5.\nAnswer: -13*o**5 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606880420.\nAnswer: 2, 5, 4129, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-237)\/12)\/((-2)\/1448). Let p = -9299 + l. What is p rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 853260 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1314271 in -23, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(432) + sqrt(432))*-1 + (6*(sqrt(432)*3 - sqrt(432)) - sqrt(432)) - 6*(sqrt(432) + 0 - sqrt(432))*-3*4)**2.\nAnswer: 27649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134344181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -118. Let 1\/2*i + j*i**2 + 0 - 1\/2*i**3 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/5, 42, 0.2 in ascending order.\nAnswer: -0.1, 0.2, 2\/5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.54 + -1.04. Which is the nearest to 0.1? (a) -3 (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -409147960 - 438509.\nAnswer: -409586469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-22) + 114\/380)*23\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/7 (b) -4 (c) 1 (d) -116 (e) -6 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89889627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1146913 + 7946087. Round m to the nearest one hundred thousand.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 8104 (c) -0.4 (d) 1\/2 (e) 0.3 (f) 39\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyeoyeenwowy. What is prob of picking 2 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + 5*a - 3*a)*(2 - 1 + 2 + (2 - 4 + 0)*(-1 + 1 + 1) + 20 - 7 + 9) to o + k*a and give k.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {m: 2, d: 14, a: 1}.\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -48\/5*a + 2\/5*a**2 + 288\/5 = 0. What is a?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0232222827 + 3778.9984322827. Let n = 3779 - l. What is n rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129308*z + 129311*z - 53 = 2*m, -m + z - 35 = -z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 - 24*b - 5. Let a(f) = 2 - 22*f**2 - 11*f - 5 + 44*f**2 - 20*f**2. Let v(z) = 7*a(z) - 3*o(z). Calculate v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvarasvuvgr. Give prob of sequence ug.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 173.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from {e: 2, p: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 480, 903, 1322, 1737, 2148, 2555, 2958?\n\"Answer: -2*p**2 + 429*p + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**3 - 129*a**2 + 115*a - 298. Determine d(10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {b: 5, j: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84.4 + 20.4. Put 4, 0.4, q, 0 in decreasing order.\nAnswer: 4, 0.4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 551 - 16*d - 170 - 884.\nAnswer: -16*d - 1462","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7882, -7883, -7884, -7885?\n\"Answer: -f - 7881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-5)*3\/(-1). Let l(b) = 2*b**2 + 4*b - 1. Is l(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 151*g + 8394. Calculate r(-45).\nAnswer: 1599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/7)\/((d*d**7)\/d))\/(d\/(d*d**(-2\/3))*d)**(-2\/13))\/(d*d**(2\/5)*d**(4\/3))**(2\/113) assuming d is positive.\nAnswer: d**(-341864\/51415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -561 in -1\/14, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 + 66. Let x = c + 33. Let y be ((-100)\/x)\/(4\/(-19800)*-5). Round y to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-27)\/6)*(-3288)\/4384.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmaaanw. Give prob of sequence nw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -205, -489, -893, -1417, -2061, -2825?\n\"Answer: -60*m**2 + 16*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -220490, -220489, -220488, -220487, -220486?\n\"Answer: n - 220491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 238, 484, 740, 1006, 1282, 1568?\n\"Answer: 5*y**2 + 231*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p + 4. Let z be (-1 - -1)*(1 - p). Solve z = 8*k - 4*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22962, -22954, -22942, -22926?\n\"Answer: 2*p**2 + 2*p - 22966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v - 8. Suppose b = v*b - 3. Solve -2*k = 3*n - b, 6 + 6 = -3*n + 3*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/6))\/h**(-1\/8) assuming h is positive.\nAnswer: h**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2. Let r(o) = -232*o**2 + 5*o - 894. Determine r(i(z)).\nAnswer: -928*z**4 - 10*z**2 - 894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2289 is divided by 68.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878282 divided by 80?\nAnswer: 939141\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 14*a**2 - 2062779*a + 2062779*a. Let m(c) = 0*c**2 - 2*c**2 + 7*c**2. What is m(f(b))?\nAnswer: 980*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 627322 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*b**2 - 15*b**2 + 74*b**2.\nAnswer: 138*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -115*i. Let j(n) = -34742*n + 2. What is j(g(p))?\nAnswer: 3995330*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 0*m**2 - m**2)*(2*m**2 - 4*m**2 + 3*m**2) + (3 - 3 - 5*m**3)*(-3*m - 4*m + 5*m).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -2202?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*b**2 + 16 - 2*b**3 + 14*b**2 + 15*b**2 - 24*b.\nAnswer: -2*(b - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4968 - 4968.5. What is the nearest to 5 in 2\/17, -4, m?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -4 (c) 105\/2 (d) -1 (e) 3 (f) 8\/19 (g) -7\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 8 + 8 = 0. Solve 0 = -4*q + v*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4 - 9*u - 11*u**4 + u**4 wrt u?\nAnswer: -132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13836547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 297.347 + -297. Let s = u + -0.047. Which is the closest to s? (a) -2\/3 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.36 and -0.41?\nAnswer: 1.3776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 160150\/4779 less than or equal to 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16490 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 + 289 + 175)*(-2*w + 6*w - 3*w)*(3*w + 3*w**2 - 3*w).\nAnswer: 1026*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106 - 13936\/130)\/((-6)\/(-33) + (-58)\/(-44))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*i + 248, -3*i = 4*y - 3 - 179. Let o = i + -61. Suppose 5*g - 15 = o*w, g - w + 6*w = 3. Solve -2 = 5*c + g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhbgbhmhmhmmhbkbgm. What is prob of sequence hb?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-45))\/(-2))\/((-42)\/(-1260)*54).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79957108393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198685775 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3222 is divided by 716?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -53*b**3 - 5*b**2. Let q(o) = -26*o**3 - 2*o**2. Let f be (-4)\/(10\/200*-16). What is f*q(y) - 2*a(y)?\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 12. Let c be z(1). Calculate the greatest common factor of 98 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 737*b**6\/30 - 289*b**3\/2 + 9*b + 30. What is the second derivative of v(k) wrt k?\nAnswer: 8844*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/17, -1\/8, 0.5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10466585 + -31?\nAnswer: -10466626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-15)\/(-18)) + 10. Suppose 3*q + s = 34. What is the remainder when 199 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5209*w**2 + 4 - 4 + 5187*w**2.\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3 = 0, 5 = 3*l - 4*r + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -18. Put 2, z, 0 in increasing order.\nAnswer: 0, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-25)\/(-5 - -10) - -136?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 43*w - 19. Let m(y) = -5 + 21*y + 3 - y**2 - 4 - 4. Let i(o) = 13*m(o) - 6*n(o). What are the prime factors of i(10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 7:54 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -337.5 and -5?\nAnswer: 1687.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (14 + -6) - 4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 minutes after 4:04 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (3 + 26 + (29 - 18))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 8\/20 + 3637\/(-30). Let f = -7343\/60 - m. Find the common denominator of f and 36\/11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 - 5*w + 5. Let c(q) = 2*q**2 - 4 - 1 + 3*q + 2. Let x be -2 + 0 + -5 + 2. Determine x*c(d) - 3*t(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5244638517.\nAnswer: 3, 317, 612763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -32. Let n = 1138.785 - 1176.7. Let t = n + y. Round t to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 4*y + 14. Let c = -170 + 174. Let r be w(c). Calculate the highest common divisor of r and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -506 - -5113\/10. Find the common denominator of -57\/46 and p.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/9 + 1222*s**2\/3 - 22052*s\/9 + 9808\/3 = 0.\nAnswer: -1839, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*b + 128*b - 47*b - 294*b - 8*b**2.\nAnswer: -8*b**2 - 632*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 15*t - 4. Give u(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/476*7\/1. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-732)\/(-46) - (-222)\/2553. Let m be -1 - (-4)\/14*88\/g. Which is the nearest to -2? (a) m (b) 1\/4 (c) 2 (d) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**4\/4 + r**3\/3 + 13*r**2\/2 + 112. Calculate v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4647456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.1, -10\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2348?\nAnswer: 4696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1087.\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/5)*i)\/(i\/i**(1\/3)))**(-1\/51) assuming i is positive.\nAnswer: i**(4\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*m + 4*i, -526*m + 525*m - 4*i = -8. Let u(h) = h**3 - h**2 + 4. Let q be u(0). Solve -q*b - 3*z + 19 = -m, 0 = 4*b - 3*z + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36*46\/69 + 640. Solve 15*w - 98*w = -u for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/5 - 8*x**2 + 399*x\/5 - 72 = 0.\nAnswer: 1, 15, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6846?\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5494, 10982, 16470?\nAnswer: 21958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 860856307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032584463.\nAnswer: 3, 38243869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3 - 2*x**2 + 4*x - 3. Let k(s) = -26137*s + 130688. What is the remainder when p(-4) is divided by k(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1955 and 935.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -164 - -82?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 154 = 7*n. Let q(o) = 4 - 8 + n*o - 3 - 84*o. List the prime factors of q(-13).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.165 - 0.118. Let d = m - 0.147. Which is the second smallest value? (a) d (b) 5 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 + 3 + 2*x**3 - 3 - 4*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 12*x**2 - 25*x + 46. Let f be m(-9). Solve -21 = f*a - 21*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -5255*a + 5257*a. Solve -25*t = 55 + a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h\/((h*h**(-4\/11)*h)\/h))*h))\/((h\/h**(3\/2))\/h)*((h**(2\/5)\/h)\/h)\/h**(3\/2))**35)**(3\/2) assuming h is positive.\nAnswer: h**(-2583\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 27243700 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 26 + 18. Let a(l) = 29*l + 60. Let m be a(i). Let s = 42 - 24. What is the greatest common factor of m and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/126*(-378)\/162.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114.88 + 117.88. What is the biggest value in s, -5\/6, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32470 and 5730?\nAnswer: 97410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -6\/11 (b) -56 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3*((-126291)\/7425 - -17).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8867235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6319 - -6319.2. Let l = -3 - -3.05. What is the second smallest value in x, 17, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 108286?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(288) + -3 + (sqrt(200))**2 + -1 + 2 + sqrt(32) + 0.\nAnswer: 16*sqrt(2) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 278 = -1797. What is the remainder when 172 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39392828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001560443044 to 7 decimal places.\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151.6 + -149.6. What is the nearest to 0.14 in -4\/5, -0.2, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 6433048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 8*m**2 + m - 3. Let k be r(-8). Suppose 3*l = 5*l + 2. What are the prime factors of l + 2 + (-3 - k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgf when three letters picked without replacement from hhshfggggcxx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1076\/11 - -98. Let o = -4422.6 + 4422. Which is the third smallest value? (a) -0.5 (b) o (c) g (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.78563 - -0.5\nAnswer: -21.28563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3 + 31*s + 3 to t*s + v and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -78 - 0) + -46 + 41 + 32 + -41.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:21 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 9. Suppose t - 2*t = 2, -i*t = 4*f - 10. Solve -12 = -4*h + f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -2*w - 2, -2 = -2*d + 3*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3427301 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (616\/(-8) - 6) - -8) + (-152 - -156)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305537 is divided by 696?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2. Let t(n) = 37*n**2 - 20. Let g(i) = -6*i**2 + 3. Let k(w) = 39*g(w) + 6*t(w). Give k(b(x)).\nAnswer: -12*x**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 552858, 1105714, 1658568, 2211420, 2764270, 3317118?\n\"Answer: -h**2 + 552859*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 2ecbc?\nAnswer: 2ecb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841788 a multiple of 1124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 86100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21060 and 468?\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 151297979.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.6 + -9. Let j = 0 + f. What is the closest to 0.1 in 5, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37.8 - 38. What is the nearest to m in 3, -5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202\/15 + 64\/5. Let f = -279 + 279. Sort w, f, 296 in decreasing order.\nAnswer: 296, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -297.00221 + 297. What is p rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99491, 397938, 895353, 1591742, 2487111?\nAnswer: 3581466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5044159 divided by -83?\nAnswer: 60773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 3}. Give prob of picking 1 p and 1 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -116, 2, 4, 5, 0.\nAnswer: -116, 0, 2, 4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 15, -c + 3 = -4*q + 6*q. Let l be ((-2)\/(-6))\/(1\/3). Suppose -q*d = l - 5. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -9*k - 15 + 1, 2*k = 2*t - 4. Sort t, -77, -3 in descending order.\nAnswer: t, -3, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1282469*k - 1282443. Calculate t(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695011.8 centimeters to meters.\nAnswer: 6950.118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 10*y - 89. Let l = 68 - 76. Let p = 10 + -2. What is the remainder when x(l) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - 3.95. Let p = 19 + 78. Let g = p - 99. Which is the second smallest value? (a) 3 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/9 + 81\/(-1). Let g = -84 - m. Suppose p - 708 = -3*w, -g*p - 3 = -p. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = n - 88, -n - f + 197 = n. Calculate the highest common divisor of n and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 l when four letters picked without replacement from {y: 7, l: 5}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 7:40 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**3 - 10*t**3 + 18*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2276027459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02805 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*a + 7 - 39, -4*a = -2*l + 82. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -12*h - 12*h - 5*h + h + 18*h. Suppose 0 = 3*y - 15, 2*b + 4*y = 7*b + 10. Let d(a) = -4*a + b*a + 3*a - 5*a. Determine d(q(f)).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0681 - -0.2087. Round q to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4 + -0.6. Let z = -1 - y. Which is the biggest value? (a) -0.5 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/12 - (0 + (-3)\/18). Let o(j) = -4*j - 31. Let m be o(-9). Solve -m*s - 2 = -n, k*s + 3 - 11 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/430 and 31\/258?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -255\/11?\nAnswer: -255\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5335 (base 7) to base 13.\nAnswer: b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -0.2061\nAnswer: 0.6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20937*d + 20959*d + 44 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(-1\/2)*i)**43*(i\/(i\/i**(-1\/4)*i))**2)**(-50) assuming i is positive.\nAnswer: i**(-7400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 258*v**4 + 9556*v**3 + 76324*v**2 - 9558*v - 76582 = 0.\nAnswer: -59, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -0.4, -2, 2 in ascending order.\nAnswer: -12, -2, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -337*k + 856*k + 999*k + 1142*k to y + o*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/15))**40 assuming k is positive.\nAnswer: k**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 = -11. Let v(m) = -2*m**2 + 0*m**2 + o*m**2. Let b(p) = -2*p + 4. Let s(d) = -1. Let t(u) = b(u) + 4*s(u). What is v(t(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -2560322 and -2560324 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 4. Let k be f(-5). Suppose k + 4 = y. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -8.88. Let r = 1.42 + -2.74. Let j = r - o. Which is greater: -1\/3 or j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 4*d**3 + 0*d**3)*(2 - 3 - 1) + d - d - d**3 + (d**2 - d**2 - 4*d**2)*(3*d - 25 + 25).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/10 - 4\/(-10). Suppose -b + p = -1. Suppose 0 = b*q - 4*q. Let i(r) = r + 2. Calculate i(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let n(q) be the first derivative of -q**4\/4 + 5*q**3\/3 + q**2\/2 + 4*q - 14. Let c be n(4). Let k(f) = -c*f - 5 + 5. Determine k(j(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16255\/30*-3)\/(3\/4) + -5. Which is smaller: -2173 or q?\nAnswer: -2173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1562*l. Let j(u) = 17*u + 4. Let n(c) = 59*c + 14. Let r(b) = -14*j(b) + 4*n(b). Determine i(r(p)).\nAnswer: 3124*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1496102.9 to the nearest one thousand.\nAnswer: 1496000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvvvxvxvxvxx. What is prob of picking 1 v and 1 x?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/3 (b) -3 (c) 1 (d) 0.3 (e) -23.14 (f) -4\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7559563 days to weeks.\nAnswer: 0.2508509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, v: 7, q: 1, a: 2, y: 6}. What is prob of picking 1 q and 2 g?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18688 divided by -2941?\nAnswer: -18688\/2941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upjv when four letters picked without replacement from vjvup.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6172178.1 times -0.2\nAnswer: -1234435.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*1 + sqrt(171) + sqrt(171))**2 + 4 + (sqrt(57)\/(-1*sqrt(3)*4) + -1)**2.\nAnswer: sqrt(19)\/2 + 2835\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328287311?\nAnswer: 11, 1667, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485114 = 3285*z - 245309 for z.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*z - 122*z - 274*z + (1 - 1 + 1)*(6*z + 0*z - 5*z).\nAnswer: -314*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4*1*(133\/12 + -11)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*u - 898*u - 2616 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) -1532 (c) 2 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.16 and -269.124.\nAnswer: -850.43184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1764 divided by -294?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(3\/5)*p\/p**13)\/(p\/p**(4\/17)*((p**(3\/11)\/p)\/p)\/p))**(-1\/4))**(-1\/6) assuming p is positive.\nAnswer: p**(-9011\/22440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502987334656*p**3 - 125718465024*p**2 - 7091760*p - 100 = 0 for p.\nAnswer: -5\/177304, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -374? (a) 0.9 (b) 1\/2 (c) -2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.8202 + 4.\nAnswer: 17.8202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 142*x**2 + 264*x - 35092. Give y(142).\nAnswer: 2396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8989, -8988, -9131, -9490, -10137, -11144?\n\"Answer: -12*c**3 + 85*c - 9062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/20 + ((-44)\/(-16))\/(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822402438 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 1 = i + 2*i, -7 = -d - 4*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 11 = -21. Let y = t + 24. Suppose 59 - 323 = -66*x. Solve 5*a - y = -w, -3*a = 5*w - x - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1712877.310271 + 1713359.31. Let q = 482 - r. Round q to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 5*x. Let w(l) = l**2 + 4*l + 3. Let v be w(-3). Suppose 18*z - 18 = 12*z. Let p be (v - 3)\/(4 - z). Calculate i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 6 = -3*k, -67*h + 84*k - 85*k = 266 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 + b + 2. Determine y(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -530 + 595. Is z not equal to 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462014713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*w**4 + 15*w**3 + 445*w**2 + 600*w.\nAnswer: -5*w*(w - 8)*(w + 5)*(2*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89 and 979?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -35 + -2 + -14 + 22 + 1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m - 39*m - 5 = -80*m, -3*m + 26 = -4*b + b - 28 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -217*g - 5. Let c(t) = 130*t + 3. Let s(a) = 5*c(a) + 3*v(a). Let d(r) be the second derivative of -2*r**4\/3 + r. Calculate d(s(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 145474511354825\/258687 + -1124714511\/2. Let n = p + 3\/1742. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7377149 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 2. Let n be b(4). Solve -2\/7*r**n + 2\/7 + 0*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 14 = -2*y. Let f = y + 74. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84648 or 6243?\nAnswer: 6243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 902.04209 rounded to the nearest ten?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - 0.12. Let n = 2525 - 7577\/3. Sort -1\/5, -1, c, n in decreasing order.\nAnswer: c, -1\/5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 6. Let h be b(6). Let x = h + 21. What is the remainder when (3\/(6\/52))\/1 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from {m: 3, f: 3, c: 6, l: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -19. Let v = 3 - 6. Let w = a - v. Solve -3*g + r = -9, r + r - w = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21469 is divided by 21403.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-2)*(-23)\/23*(-10)\/(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.136 (b) -0.78 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) -77\/2 (c) -2\/11 (d) 15 (e) -4 (f) -17 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 778 + 4\/((-32)\/24). Let r be (620\/v)\/(2\/(-5)). Let k = 2 - 8. Which is the fourth smallest value? (a) r (b) 3\/2 (c) k (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 - 18*h + 49. Give r(8).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**3 - 2*w**2 + 4*w + 3. Let i(r) = 6*r**3 - 3*r**2 + 5*r + 4. Let m(j) = -3*i(j) + 4*k(j). Let s be m(-1). Is s\/(-15) - 109\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14)*(-3)\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*j - 50*j - 4735 + 4684 with respect to j.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 30*o - 90 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (588\/20 - 1) + (1601 - 1630).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56*1\/8*(-9960)\/(-14).\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/5 - (3 + -1). Suppose 3 = -o*u - 3. Let n(c) = -c**3 - c**2 - 4*c - 3. Calculate n(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**5\/180 + 7*p**4\/108 + 76*p - 106. Let b(f) be the first derivative of s(f). What is h in b(h) = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*f + 6 - 398*f**3 - 9 + 396*f**3 in the form j*f**3 + k*f**2 + y*f + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1035 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*3)**2*-6.\nAnswer: -91800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15*7\/105*(10*-6)\/(-3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5249, 20964, 47149, 83804, 130929, 188524, 256589?\nAnswer: 335124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -270, 1, -4 in decreasing order.\nAnswer: 1, -4, -101, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(3 + -3 + 0). Suppose -3*v + 6*v = f. Solve v*x = 2*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 29*b + 0*b**4 + 0*b**5 + 1\/2*b**2 + 2 - 22\/3*b**3 - 2\/15*b**6. What is the second derivative of d(h) wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uucuuhucchuuc.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 12*m - 7*m - 2*y, 2*m - y - 8 = 0. Solve 2*l = 3*k - 6, -m*k = -5*l - 0 + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 4*a + a)*(24 - 10 + 174*a - 195*a) to the form j*a**2 + t*a + o and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -595301.335 rounded to the nearest ten?\nAnswer: -595300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 88. Suppose 23*t - j*t = -50. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -6, 2 in decreasing order.\nAnswer: 4, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 932 - 692. Calculate the remainder when 317 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4\/7 + 12*b**3 + 201*b**2\/7 - 352*b - 2580\/7 = 0.\nAnswer: -6, -1, 5, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 386+-11308804333\nAnswer: -11308803947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**4\/24 + 3*q**3\/2 - 4*q**2. Let b be y(-7). Find i such that 5*i**2 - 6*i**5 - i**2 + b*i**4 + 2*i - 6*i**4 + 4*i**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6*t = 3*t + 29, -t - 9 = 3*i. Let g(z) = -3*z**2 + 5. Let s(a) = -a**2 + 2. Suppose 0 = 5*n + 27 + 3. Let v = 16 + n. What is i*g(o) + v*s(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.02862 times 2.7?\nAnswer: -5.477274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 1 - 17. Let v be (1 + (-4)\/1)*(g + -10). Calculate the greatest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 13 + 0*g**2 + 4 - g. What is the tens digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeefeeeeefe?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 - 750*f.\nAnswer: -750*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*j = -75, 64 = 2*o - 4*j - 16. Suppose k - 3*f - 12 = 0, -53*k - 2*f = -o*k - 3. What is the third biggest value in -5, k, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 9:01 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -486, 5, 14, -0.2 in ascending order.\nAnswer: -486, -0.2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - c - 2*c + 99, 4*j + 2*c + 114 = 0. Let a = -26 - j. Suppose 3*b - 97 = -37. What is the lowest common multiple of a and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, h: 1, u: 2, j: 3, l: 1, b: 1}. Give prob of sequence ubu.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8639, 17276, 25913, 34550, 43187, 51824?\n\"Answer: 8637*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 0*b**2 + 7*b**2 - 6*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330598592 to the nearest integer?\nAnswer: 18182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/32)\/((-7)\/6*720\/(-1120))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - z - 44 + 11 - 25 + 2*z.\nAnswer: z - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3342911 + -2.4242848. Let v = h + 1.09. What is v rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.341 + -0.041. Let d = a - 3.1. What is the biggest value in -3, d, -0.2, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 6, -4, -14, -24?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0992 + 0.1. What is b rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757411313 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1404 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 + 139. Let l be 37 - 2\/(-4)*-4. Let g be -1 - (-2 - l*1). What is the greatest common divisor of d and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 + 11*o - 24. Let w(f) = -f - 1. Let h(u) = -u**2 + 11*u + 16. Let z be h(12). Let i(s) = z*w(s) - q(s). Determine r, given that i(r) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*q**3 - 883*q + 416*q + 467*q.\nAnswer: 109*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmxxmmqmiqmmm. Give prob of picking 1 m and 1 i.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 22*q**4 - 2*q**4)*(-3 - 3 + 4)*(-2 + 5 + 3).\nAnswer: -228*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -z + 4*g, 6*g - 16 = 2*g. Let l(c) = 14*c**2 + 5*c + 3. Let q be l(-3). Suppose -152 - q = -z*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21299 - 36836 + 15*d + 15537.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1\/(-16))\/(8\/48)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2433123220?\nAnswer: -2433123214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*z**3 - 259*z**3 + 119*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -31\/5, 1, -35, -5, 4 in descending order.\nAnswer: 4, 1, -5, -31\/5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/13 + 68*t**4\/13 - 74*t**3\/13 - 140*t**2\/13 = 0 for t.\nAnswer: -35, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 2*h**2 - 1. Let b(k) = -13*k**3 - 12*k**2 + k - 7. Give b(a) - 6*r(a).\nAnswer: -7*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 3, 0 in descending order.\nAnswer: 3, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 3*z**3 + 2*z**3)*(-100*z - 97*z + 56*z) - 2*z**4 + 0*z**4 + 3*z**4.\nAnswer: -422*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (5 - (7 + -3))) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1694605*i**3*w + 548*i**2 + 27*i*w wrt i?\nAnswer: 10167630*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 11497 + 76745 = 0. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21206109.\nAnswer: 3, 19, 372037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*j - 402 - 98*j + 237*j + 402 as r*j + c and give r.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -1\/5, 0.2, 85, 3, -94176, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 752 + -505. Let w be (0 - 4) + 119\/7. Calculate the highest common factor of w and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102.000049 - 102. Round l to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 19 = 3*n - 3*p, -5*p - 39 = -4*n. What are the prime factors of (-522)\/(-27)*n\/4?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + 1 - (sqrt(156)\/sqrt(3))**2.\nAnswer: -51 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(-65) - 11\/(-5). Let t be (-21 - -21)\/((1 - d)\/1). Let v(q) = -q**2 - q - 14. Determine v(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3))**(2\/111)*(w**(3\/4))**32 assuming w is positive.\nAnswer: w**(7994\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8*1)\/(-2) - -29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401501 is divided by 7721?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.299, 0.4, -4?\nAnswer: -0.299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 112caa70 - 1?\nAnswer: 112caa6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -35745 divided by 47\nAnswer: -35745\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 21*d + 23*d - 2, -4*o = -3*d - 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = 2*p. Suppose p*y = -2*y + 25. Suppose 8*l = y*l + 72. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343890 rounded to the nearest ten thousand?\nAnswer: -1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -5, 2, 3, -17040 in descending order.\nAnswer: 5, 3, 2, -2, -5, -17040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12893.9 - 12901. Which is greater: -0.01 or s?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8853, -8851, -8849, -8847, -8845?\n\"Answer: 2*r - 8855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let a(c) = 10*c**2 + 32. Calculate l(a(k)).\nAnswer: -10*k**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2789 plus 24.1?\nAnswer: 28.3789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 5. Let v be u(-4). List the prime factors of 5*-2*(v + 5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 9 - 11)*(4 - 1 + 0)*(0*v - 3*v + 0*v)*(3 + 1 - 2)*(3 - 3 - v).\nAnswer: -234*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.2*4.\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -19.1, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:57 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) 2\/65 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.048581 (b) -1\/8 (c) -2\/3 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*4*20\/(-40). Suppose 3*b - 10 = -o*b. Does 25 divide ((-600)\/3 - b)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 3*n**2 + 2*n + 1. Let f be x(2). Let h = f - -3. Suppose -h*p + 174 = 34. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkskcykkkk.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z + z - 5*z)*(z + 2*z - 2*z) - 2 - 2*z**2 + 2 + (-z + 4 - 4)*(-21 + 21 + 5*z)*(1 + 0 - 3) as q*z + o + k*z**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + 78928*j - 1557407296 = 0. What is j?\nAnswer: 39464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 45. Let f be -13 - 1160\/(-50) - (-1)\/(-5). Is f at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(sqrt(19) + 0).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**4 - 110*u**3 + 1695*u**2 - 3960*u = 0.\nAnswer: -33, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.6361 - 271.\nAnswer: -248.3639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4984 or 503403\/101?\nAnswer: 4984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*n - 21 = 0, -3*y - 2*n - n + 24 = 0. Let c = 32 + 18. Suppose c - 10 = y*g. What is the highest common divisor of g and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 30 = -7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 122265.\nAnswer: 489060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-32)*4*(-1)\/3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 36 = 5*p. Suppose -o + 3*o - p = -2*m, 5*m = 25. Solve 3*u - 5*a = -11, u - o*a + 8 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 4 + 14 - 60*j + 168*j)*(3*j**3 - 8*j**3 - 13*j**3) to w + r*j**3 + v*j + d*j**2 + c*j**4 and give c.\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -52*p + 10. Let k(y) = -160*y + 32. Let o(n) = 5*k(n) - 16*l(n). Let j(d) = -9*d. Give o(j(v)).\nAnswer: -288*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 - 392. Let t be ((-2)\/10)\/(b\/1975). Determine z, given that 25\/3 - t*z**2 + 20\/3*z = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from {f: 2, r: 1, a: 1, s: 6, v: 2, h: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 10, 0*b = b + n - 15. Find the second derivative of 33*z - 149*z**4 - b*z + 12*z + 9*z wrt z.\nAnswer: -1788*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -48*m + 2. Let g(f) be the first derivative of -f**3\/3 + f + 10. Let u(o) = -o**2 + 2. Let a(c) = 2*g(c) - u(c). Calculate a(t(y)).\nAnswer: -2304*y**2 + 192*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 33*g + 34 + 36*g - 4*g - 15.\nAnswer: 65*g + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:22 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3300507*r**4 - 1045380*r**2 wrt r.\nAnswer: -79212168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-18)*1890\/441?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 4*j + 7. Let q be g(6). Suppose 6*r = q + 11. Suppose -m + r*w + 124 = m, w + 140 = 2*m. 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: Suppose -2*w + 10 = -4*l + 2*l, 3*w = -l - 1. Let g = 1 + w. Suppose 31 = c - 4*i, 6 = -g*c + 4*i + 48. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859.202 millimeters to meters.\nAnswer: 0.859202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from wbbqbwbwbbvbww?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 10*l + 5. Let b be c(-10). Does 21 divide (3 + 171 - 3) + (2 - b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2748 and 26203554?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4186 and 897?\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, a: 18}. Give prob of sequence aaaa.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**2 - 317*n - 835. What is y(34)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(30\/(-3) + 11) + -4738. Sort 0, u, -0.3.\nAnswer: u, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144436711?\nAnswer: 11, 7433, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - -33. Suppose -d = -4*g - 33. Suppose 5*r = g*r - 254. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*((y*((y\/y**(2\/5))\/y)\/y)\/y*y)\/y)**(33\/5)\/(y\/(y\/(y**(1\/3)*y))*y)**(-24))**1 assuming y is positive.\nAnswer: y**(1499\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o - 71. Calculate r(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - n - 2 + 3 + 3.\nAnswer: -n + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 10. Let t(s) = -s**3 + 8*s**2 - 6*s - 1. Let j be t(o). Sort -3, -1, j in descending order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68505 + 68505 + 35*t**2.\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1 + -5) - 1) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 9801333.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 13*q - 12. Let b(t) = 3*t + 3. Let g(a) = 4*b(a) + s(a). Let w(z) = -4*z. Give g(w(d)).\nAnswer: -16*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1034 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 465 = -4*h + 545, 876 = 51*h + 3*b for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Calculate t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -146*p**2 - 178. Let b(k) = 1 - 2*k**2 + 12*k - 8*k - 4*k. Let x(i) = -6*b(i) + f(i). Differentiate x(u) wrt u.\nAnswer: -268*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -63. Is (-2 + 78\/t)\/((-12)\/126) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1059 = o + 5*u, -4*o - 4*u + 4188 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 24, -2, -34, -72, -116, -166?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -76.7, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 622 - 472. Let k be o*(-6 + (-1099964)\/6). Round k to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8382621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/5 + 1 - (-2 - -83). Let v = k - -54. Is v <= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 26.00008454. What is b rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -34.64364\nAnswer: 24.64364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(320) - 3*sqrt(320)) + 1.\nAnswer: -16*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -0.2 (c) -63361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195616 is divided by 97806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(252) - sqrt(252))**2*-3 - (sqrt(308)\/(sqrt(11) - sqrt(22)\/sqrt(2)*-3 - sqrt(11)))**2) + 4.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {y: 5, o: 1, z: 3, i: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 5*g + 5. Let d be j(3). Put -1\/2, d, 0.1 in increasing order.\nAnswer: d, -1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/3243 + -222935\/674544. Let w = -429383\/12 - -35793. Calculate the common denominator of w and d.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**5\/3 - 28*x**4 + 440*x**3\/3 - 152*x**2\/3 - 660*x - 1300\/3 = 0?\nAnswer: -1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/12 - 3*g**3\/2 - 11*g**2\/2 - 2902*g - 2. Let o be (12\/9)\/(2\/(-9)). Calculate v(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y + k + 22, -4*y - 4*k + 40 = 0. Is y smaller than 1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**9\/37800 + u**8\/8400 - u**7\/6300 + u**4\/4 + 3*u. Let i(n) be the third derivative of t(n). Solve i(l) = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1813*h - 10871. Determine d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 220350 divided by -5?\nAnswer: -44070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28, 51, 72, 91, 108?\n\"Answer: -b**2 + 26*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -618, -3037, -8138, -16815, -29962, -48473?\nAnswer: -73242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 701, -232, -1 in descending order.\nAnswer: 701, 6, -1, -5, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 83?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51242*h - 22247*h - 3973*h - 16137*h.\nAnswer: -93599*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.87598 millilitres to litres.\nAnswer: 0.09287598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 11573*f - 3645496. Determine d(315).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001011001001 (base 2) in base 13?\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(((sqrt(171) + 0 + sqrt(171))*-1 + sqrt(171) - (sqrt(171) - (sqrt(171) - sqrt(171)*2)*-2)) + 4))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -10*g + 3*g. Suppose 0*u - u = -g. Solve 0 = 2*a - a - u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.006245423*-0.5\nAnswer: 0.0031227115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43\/69 + -1\/23. Let h be 2\/3 - 64\/42. Sort h, 0.1, n.\nAnswer: h, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2 = f + 3, 2*f - 2*m - 2 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18185450, -7, 1 in decreasing order.\nAnswer: 4, 1, -7, -18185450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -113*d**2*l + d**2 - 16*d + 1 wrt l?\nAnswer: -113*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) - (-180078)\/18. Suppose x = d + h, -4*x - 5*d - 9992 = -5*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2815 + -2684. Solve 128 = 3*g + q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) -5 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -152 and -169 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdbd when four letters picked without replacement from fqzdbdbqbdfdz?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5888113, -5888257, -5888495, -5888827, -5889253?\n\"Answer: -47*j**2 - 3*j - 5888063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*m + 2766 = -w, 2*w + 4*m + 1848 = 0. Let p = w - -950. Suppose 4*z - 18 = -a, 3*z - 24 = -a + z. Calculate the highest common factor of a and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*y + 5, -y - 6 = 3*p + 12. Let s(c) = c**3 + 4*c**2 - 3*c - 6. Give s(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -1\/30*i**5 + 0*i + 0 + 0*i**4 - 2*i**2 + 0*i**3. Let g(q) = 3*q. Calculate r(g(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 935693724 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634232330 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -105725 (base 8) to base 15\nAnswer: -a917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.6 + -1.8. Let x = g - -4.4. Let m = -5.6 + 6. Which is the closest to 1\/4? (a) 5\/2 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 915540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 46*p**2 + 31*p**2 - 12*p + 32 - 8*p + 24*p**2. Give i(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1828874 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21287608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 62, 9, -64, -163?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 3\/20*a**5 + 2 - 7*a + 0*a**2 + 0*a**3 + 1\/4*a**4. Let o(c) be the first derivative of i(c). Factor o(t).\nAnswer: 3*t**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39432, 78862, 118282, 157686, 197068, 236422, 275742?\nAnswer: 315022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -eed7375 + 5?\nAnswer: -eed7370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-44)\/p))\/p**(9\/4))**(-6) assuming p is positive.\nAnswer: p**(-525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803861512?\nAnswer: 2, 225482689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135.00272 - -135. What is a rounded to four dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 29*d**2 + 4*d. Let l(f) = 28*f**2 + 4*f. Let p(o) = 7*a(o) - 6*l(o). Is p(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*z - z + 4, -10 = -4*m + 3*z. Suppose a - m = -3*a. Let f = 88695 + -88670. Calculate the least common multiple of f and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*r + 20, 3*y - 4*r = 40 - 12. Suppose 3*t - q + 8 = y*t, 3*q + 16 = 5*t. Suppose 0 = t*i - 10 - 140. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71691 - -71689. Let f = 0.1 - 0.1. Which is the closest to y? (a) -2\/11 (b) f (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 122\/(-22) - 3. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99bba54 - 5?\nAnswer: 99bba4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 186923. Let u(h) = 14*h + 3. Calculate n(u(l)).\nAnswer: -28*l - 186929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 e when four letters picked without replacement from {e: 3, a: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 11*n**5\/60 - 2*n**2 + n. Let t(q) = -6*q**2 - 24*q. Calculate t(l(i)).\nAnswer: -726*i**4 - 264*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/12*7\/(7\/(-4)). Let t(b) = 7*b + 4. Give t(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002931356 to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1500 and 150?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 7*v**2 - 10. Determine g(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 11*x = 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16830 divided by 6?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420291*l + z + 30 = -420288*l, 6*l + 2*z - 60 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let h be n(1). Let b be ((-8)\/(-6))\/(h\/(-3)). Suppose -6 - 2 = -b*x. Solve -2*q + x = -0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 17419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109821 + -1647983\/15. Are j and -45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 6*r - 1. Let c be x(-6). What is the units digit of 14 + -1 + 0 + c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, and 2 j when four letters picked without replacement from {j: 4, w: 2, s: 3, m: 10}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehh when three letters picked without replacement from hhere.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 11*c**2 + 62*c - 1235. Let l be h(14). Solve l = 5*y + 241 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 48*s**2 - 104*s + 20. Suppose b - 3 - 32 = 0. What is the remainder when b is divided by q(26)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - -0.5. Let m = 18.9 - 19. Let f = 5.1 + m. Which is the third smallest value? (a) f (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877528775?\nAnswer: 5, 19, 23, 47, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -54. Solve 1 = -3*v - g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.97 + 3. Let a = z - -0.07. Let x = -6 - -5.7. What is the nearest to a in 0.2, x, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**2 + 9*r**2 + r**2 to the form z*r + y*r**2 + v and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 68039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 21*w**2 - 22*w + 40. Let j be z(20). Suppose j*p = p - 5. Calculate the remainder when 48 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720136220?\nAnswer: 2, 5, 83, 433817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8653 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*i**3\/9 + 229205*i**2\/9 + 469049614*i\/9 - 16752649\/3.\nAnswer: (i + 4093)**2*(28*i - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2368 and 63788.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11200153523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666 divided by -3.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 286157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6 = -20 + 10, 12*t = -13*y - 50 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2. Let r(t) = 65*t**2. Calculate c(r(x)).\nAnswer: -12675*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1 + 588*q**2 - 3*q - 5*q**3 + 654*q**2 - 1223*q**2 + 2. Let g(y) = -11*y**3 + 38*y**2 - 7*y + 7. Give 3*g(h) - 7*i(h).\nAnswer: 2*h**3 - 19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (132\/(-8) + -1)*-4. What is the greatest common factor of 190 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-48\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70866221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 28 = -4*y - g, -5*y - 2*g + 33 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -18, -0.4, 1, -26.3, 26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**3 + 5*p**2 + 4*p + 2. Let l be z(-1). Let a(r) = r**2 + 9*r + 8. Determine a(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159382350?\nAnswer: 2, 3, 5, 118061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0 - 20. Let q = z - 2. Solve n + q = -1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 7:28 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 789 - 2291\/3. What is the common denominator of h and 29\/1137?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15581485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 20*k - 103*k - 40*k - 79*k.\nAnswer: -198*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1966*c**2 + 51*c - 1973*c**2 - 45*c.\nAnswer: -7*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**3\/2 - 59*s**2\/2 + 2*s - 2371. Determine l(0).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from 9626.43742.\nAnswer: 9618.43742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 + -2.6. Which is the smallest value? (a) 0.2 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*q**3 + 3729*q**2 + 31875*q - 6525 = 0. Calculate q.\nAnswer: -145\/7, -15, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/124 (b) -3 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 49291740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a1 + 9e?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Let r(m) = -m**3 - 5*m**2 + 4*m - 8. Let x be r(-6). Suppose 3*c - 30 = 2*t + t, -28 = -x*c + t. What is the lowest common multiple of f and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 281*y + 106. Is a(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 30. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203570 divided by -10.\nAnswer: 20357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7464, -14922, -22364, -29790, -37200, -44594, -51972?\n\"Answer: 8*g**2 - 7482*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 7*t - 7. Let s(q) = -q**2 - q - 1. Let j(r) = o(r) - 4*s(r). Let u = -9 + 6. Is j(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + -2*sqrt(7)*-2)*-5.\nAnswer: 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*x**2 - 73*x**2 + 217*x**2 - 60*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-28 + 42 - 26)*(-l + 2*l + 2*l).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3001180 and 679?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -21*i**2\/5 + 51*i\/5 = 0?\nAnswer: 0, 17\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from mmdw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76527 = -27*q - 32455 + 80290. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8344073 divided by -439?\nAnswer: -19007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/(-12))\/((-2)\/56). Calculate the highest common factor of q and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 1260 = -21*s. What is the remainder when 206 is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(((-37)\/((-4773)\/(-24)))\/(-8))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 4 (c) 0.5 (d) -1\/4 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i - 347 = -153*i - 162*i + 15845 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(85)\/sqrt(5)*-6)**2 - ((1 + sqrt(17))*-6)**2).\nAnswer: -216*sqrt(17) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-21) + 1*-4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k - 53. Let o be x(-6). Let a(v) = v**2 - 1. Let h(f) = f**2 + 1 + 7*f + 1 - 7*f. Let z(d) = -6*a(d) - 3*h(d). What is z(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2, 0.4, -127, -0.2, -2\/105, 12, -11\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13687*k - 135 = -13714*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 34 - 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - 11 - -21 - (1 - 40).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 12*k - 6. Suppose -5*g - 2 = -3*g - m, 0 = 2*g + 4*m + 2. Let f(a) = -a + 1. Let d(r) = g*w(r) - 6*f(r). What is the units digit of d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnniinnninnnninnnnn?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34339037, -34339036, -34339035, -34339034?\n\"Answer: s - 34339038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.373 in 13, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -33 - i - 24 + 102 - 11. Let g be h(31). Solve -11 = g*c - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 515667760 by -790.\nAnswer: -652744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 + 64 = 9*x. What is the greatest common divisor of 65 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43\/814 + 56687\/256410. Let m = x - -2\/63. Calculate the common denominator of ((-1)\/(-4))\/(3\/272) and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/3 - 305*j**3\/3 + 937*j**2\/3 + 3989*j\/3 - 1540 = 0 for j.\nAnswer: -308, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -794485 (c) -2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from sttviihz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5900?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155.17931 rounded to the nearest ten?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10991*w**2 - 10991*w**2 + 4*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 6*o**2 + 128109*o**3 + 4*o**2.\nAnswer: 128109*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**2 + 43*y**3 - 22*y**2.\nAnswer: 43*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h + 5. Let u be y(5). Let p be ((-23)\/2)\/((-35)\/70). Suppose 5*g + p - 38 = 0. Solve g*r + u = -5*a, -r + a = 4*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3487926?\nAnswer: 2, 3, 13, 97, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5517 - -5521. Let h(x) = -4*x**2 + 10*x**2 - 5*x**2. Let o(y) = 3*y**2 - 3 + y**2 - 2*y + 2*y**2. Give n*h(m) - o(m).\nAnswer: -2*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -297 + 2077\/7. Let y = -1 + 2.8. Let r = 2.2 - y. What is the second smallest value in r, x, 3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13108, 13036, 12964, 12892, 12820, 12748?\nAnswer: 12676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -104*b - 507 - 28*b**2 + 5 + 67 - 26*b + 33*b**2 = 0.\nAnswer: -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 4*v + z - 10, 3*z + 6 = 0. Suppose -20 = -v*n + 4*t + 2, -5*n = 5*t - 95. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 320.6 and -60.8.\nAnswer: -19492.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399*-4.\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4\/2 + 27*a**3 + 117*a**2\/2 - 2082*a + 6048 = 0.\nAnswer: -9, 4, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**2\/5 - 677774*q\/5 - 114844398769\/5 = 0.\nAnswer: -338887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 (base 3) in base 2?\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:46 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 4*j**7\/483 + 3*j**6\/115 - 5*j**5\/46 - 6*j**4\/23 + 12*j**3\/23 + 5362*j. Find f such that y(f) = 0.\nAnswer: -3, -2, 0, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -23, -47, -81, -125, -179?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4406*w**5 - 7071629*w**4 - 2826852747*w**3 + 8544968280*w**2 - 1939248*w = 0.\nAnswer: -804, 0, 1\/4406, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 7218?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 - -0.24. Let h = -0.4 + -0.1. What is the nearest to y in 5, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21669, 173487, 585585, 1388097, 2711157?\n\"Answer: 21689*t**3 + 6*t**2 - 23*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 5*x**2 - 8*x - 8. Let z be d(-6). Suppose -u + z*u = 9. Let l = -4669363 - -4669358. Sort u, l, -4, 0.\nAnswer: l, -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 3, u: 3, r: 4}. What is prob of picking 2 u?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gagg when four letters picked without replacement from {a: 2, b: 8, g: 4}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1102)\/4 + 2\/(-4). Let f be (-107)\/3 - (-11)\/(-33). Is (x\/f)\/(1\/51) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.32845366 to two decimal places.\nAnswer: -9.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 206 + 9. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - 26. Round o to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177854\/7 + -25347. Let p = s - 61. Put p, 2\/7, -5 in increasing order.\nAnswer: -5, p, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209 divided by -11.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 4 + ((-115)\/(-10) - 5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1330 (base 8) to base 6\nAnswer: -3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2. Let h(c) be the first derivative of -c**5\/30 + 7*c**3\/3 - 27*c**2 - 48. Let a(y) be the second derivative of h(y). Determine a(k(z)).\nAnswer: -8*z**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 2*y - 21*y + x + 24 = 0, 6*x = -20*y + 122 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -78, 5.\nAnswer: -78, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.799.\nAnswer: 1.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8))\/(20\/40)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -2\/11, -21, 16506?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -14745?\nAnswer: 14745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92121*f**2*q**2*s - 2*f**2*q + 39*f*q*s - 170707*f*q + 90*q**2*s wrt q?\nAnswer: 184242*f**2*s + 180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/3)\/((7 + 190\/(-30))\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11. Suppose 3*h + 3 - 45 = y. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18272778 divided by -6\nAnswer: -3045463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6690, 6241, 5792?\n\"Answer: -449*a + 7139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 2. Let a be 2 + (-1 - -4) + -3. Suppose -a*i + 8 = p + 4*p, -p - 4*i + 16 = 0. Determine d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 p, and 1 t when four letters picked without replacement from {u: 3, t: 1, p: 4}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - z + 26 - 7*z + 10*z + 36.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqqfqfqqqfqqqf. Give prob of picking 3 f and 1 q.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 24*y - 16. Calculate the smallest common multiple of u(-26) and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 637*x - 7513. What is p(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-6 - 175\/(-30)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 105418 and 0.1.\nAnswer: 10541.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-544)\/204*1*(-1)\/28.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -520460, -1040904, -1561346, -2081786, -2602224?\n\"Answer: s**2 - 520447*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0234*-5.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-187)\/(-5) + (-2 - (-8)\/5). Suppose -w*j = -38*j + 99. Let y = 101 - j. Calculate the greatest common factor of y and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 19*n + 108 = 0. What is the third derivative of -n*w**3 - 8*w**2 + 9*w**2 + 11*w**2 wrt w?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 50*m - 15. What is the tens digit of b(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20719 + -3?\nAnswer: 20716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-3470*f - 2*f**2 - f**3 + 4*f**2 + 3486*f).\nAnswer: 3*f**3 - 6*f**2 - 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/100 and -29\/41640.\nAnswer: 208200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54451*v**3 - 27217*v**3 - 17*v**2 - 27215*v**3 + 17*v**2.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**3 + 8*l + 12*l - 21*l - 1 to the form g*l + o*l**3 + f + m*l**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + sqrt(10)\/(sqrt(180)*-3 + sqrt(180)).\nAnswer: -3 - sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5839849mm?\nAnswer: 0.05839849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**4\/6 + 8*u**3\/3 + 19*u**2\/2 + u - 102. Determine m(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 = 423*o - 8139 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 8*p**2 - 8*p - 5. Let i be m(-7). Solve -w = -2*w + i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:23 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50668524?\nAnswer: 2, 3, 469153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 364497423?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -49395579 divided by 3?\nAnswer: -16465193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k + 53 = -71 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + h + 5. Let f be t(0). Suppose -f*q = -12 + 2. Let w = 10 - 6. Which is the closest to 0.1? (a) -2 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2767?\nAnswer: 2767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-16)\/(-30))*480\/200.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.474 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5235759, -20943034, -47121817, -83772102, -130893883, -188487154, -256551909?\n\"Answer: s**3 - 5235760*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/9 of a day in minutes?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 140*z - 3*z**4 - z**2 + z**3 + 140*z as a*z**4 + i*z**2 + j*z**3 + w + b*z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7842171 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83850669139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 368\/3*(-45)\/(-2) a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1204*y**3 - 1857*y**3 + 3060*y**3 - 724*y**2.\nAnswer: -y**3 - 724*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 668812.9km in centimeters?\nAnswer: 66881290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 12*c + 6978552*c**3 - 16*c.\nAnswer: 6978552*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144*q**2 - 139*q + 2 wrt q.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.8.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*d*w**3 + 2*d*w**2 - 2*d - 41585*w**3 + 2*w**2 + 40668 wrt w.\nAnswer: -72*d - 249510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -508889160 divided by -4?\nAnswer: 127222290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*f*(f*f**(-12)\/f*f*f*f*f)\/f)\/f)\/f)\/f)\/f**(-3)*(f*(f**4*f*f)\/f*f*f)**38 assuming f is positive.\nAnswer: f**298","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 35*a + 137. Give s(-31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - b**2 + 16. Let v be j(0). Let c = 32 - v. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 418?\nAnswer: 4598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/4*((-35)\/(-7))\/55. What is the closest to 1 in -0.102, w, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(304))*4)**2.\nAnswer: 2048*sqrt(19) + 78080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (2 - (2 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (4 - 12) + 22 - 34\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 30142424?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11204\/11, -2\/111, -5 in decreasing order.\nAnswer: -2\/111, -5, -11204\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/11 (b) -2\/17 (c) 7\/2071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 17*z - 39 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 581 + -569 - (-14 - -6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:48 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/6 and -1\/225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188718260.\nAnswer: 2, 5, 19, 349, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72380259 and 3654?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 5 - 17*v.\nAnswer: -17*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11725 - 8264. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v + 4*z + 26, -3*v - 9 = 3*z. Suppose -f - 12 = -5*i, i + 4 = 6*i + 3*f. Is v > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150130168*s**6 - 204992576*s**2.\nAnswer: 18015620160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.3.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000803386 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -604321760 divided by 6?\nAnswer: -302160880\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/(-4))\/(21\/(-280)). Let u = -34 + m. What is the greatest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*m**2*q + 25357*g**2*m**2 - 10399*g**2*m - g*m - 3*m*q wrt m.\nAnswer: -2*g**2*q + 50714*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 0, 5*n - 3*q = 9*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -51. Let n be x\/3*-3 - -1. Suppose -n = 3*t - 89. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79065, 182245, 285423, 388599?\nAnswer: 491773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 7}. What is prob of sequence bybb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11 and -76\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 8*w + 4. Let h be a(-6). Let j be (3 - 7)*2\/(-4). Suppose j*k - 86 = 74. Calculate the highest common divisor of k and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*k + 1492 = -1656 + 1840 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21a - 1302?\nAnswer: -151c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:12 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 5*y - 5. Let u be g(4). Let h be 0 - (u + 2 + 4). Let n = 8 + h. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 4 (c) -0.5 (d) -79 (e) -60 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1142951 and 2.\nAnswer: -1142949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186340 divided by -4.\nAnswer: -46585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112.7 - -111.7. Let r = -88.04 - -91. Let i = r + 0.04. Which is the nearest to z? (a) 5 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 109 = -14. Suppose 17*q - 14*q = 3*r + 12, v*q - 3*r = 18. Suppose -q*w + 8 + 7 = 0. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*102\/(-765)*35\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 475 = -d - 102, -7*d + 2*g - 297 = 3*d - d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - l = l - 4, 0 = -3*c - 2*l + 4. Let b(z) = -3*z - 2*z - 4 - 2 + c. What are the prime factors of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 220*t - 3502. Give n(-51).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5002 is divided by 326.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -212454?\nAnswer: 212454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 13*z**2 - 242*z - 2537. Is i(156) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**2. Let r be 4\/18 - 364\/(-63). Let s(y) = -3 + 7*y - r*y + 0*y - 3*y. Let c(p) = -5*p - 8. Let w(j) = 3*c(j) - 8*s(j). What is v(w(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, -747 in ascending order.\nAnswer: -747, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/((-9)\/(-3) - 5). Suppose -2*r = -8 - p. Let u = -9 + r. Solve -k + 5 = -u*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(285\/15)*-9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2012201 (base 3) to base 11\nAnswer: -1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 715\/6 + -119. Sort 5, h, 20, -0.2.\nAnswer: -0.2, h, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -882\/13 - -68. Is s less than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67506 + -67502. Let r be (9\/(-6))\/((-6)\/4). Let i(k) = 7*k - 4. Let d(p) = -1. Let u(v) = r*i(v) - 3*d(v). Give u(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417444 divided by -129.\nAnswer: -3236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389316, 1556956, 3503022, 6227514, 9730432?\nAnswer: 14011776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from {r: 3, e: 2, i: 5, n: 7}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4361311 (base 7) in base 3?\nAnswer: 1000020010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away 183.611?\nAnswer: -183.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, and 2 i when four letters picked without replacement from {i: 3, k: 5, b: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13066, 20158, 31982, 48538, 69826, 95846, 126598?\nAnswer: 162082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/111 and 76\/15.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**4 + 3*g**3 - g. Let x(p) = -2*p**4 + 4*p**3 - 2*p. Let f(o) = 4*q(o) - 3*x(o). Find the second derivative of f(z) wrt z.\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0 + 0)*(3*n - 2*n + 0*n)*(111 - 218 + 0)*(0 - 4 + 2) - 2*n**2 + 6*n**2 - 3*n**2 + (-1 + 4 - 1)*(n**2 + 0*n**2 - 3*n**2) + 0 - n**2 + 0.\nAnswer: 210*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 668*u - 651*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*v = -5*t + 35, 4*v - 14 = -2*t. Let q(b) be the first derivative of -b**3\/3 + 7*b**2\/2 + 10*b - 1. Determine q(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01165469 to 4 dps.\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 89*p - 956. Give z(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*k = 110, -2*v + 4*k + 136 = 3*v. Solve -5*h - i = -5*i + v, -h + i = 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 7:41 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87, -453, -1079, -1977, -3159, -4637, -6423?\n\"Answer: -2*q**3 - 118*q**2 + 2*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + sqrt(1584))*5 + 3)**2 + (sqrt(1584) + 0 + 3 - ((sqrt(1584) + 1)*-5)**2)*1.\nAnswer: 302 + 1572*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 58*f + 672. Let u be h(16). Factor 0*p + 1\/2*p**3 + 1\/4*p**4 + 0*p**2 + u - 1\/4*p**5.\nAnswer: -p**3*(p - 2)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -521 - -562277?\nAnswer: 561556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 8*v**2 - 341*v. Let p(c) = c**3 - 4*c**2 + 341*c. Let w(i) = -4*m(i) - 5*p(i). What is the second derivative of w(f) wrt f?\nAnswer: 18*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.249 + -0.248772. What is l rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(13)) - sqrt(65)\/(sqrt(35)\/sqrt(7))) + (sqrt(117)\/(-4*sqrt(9)) - sqrt(325)*3).\nAnswer: -81*sqrt(13)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 42260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:07 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 315, 664, 1045, 1464, 1927, 2440, 3009, 3640?\n\"Answer: q**3 + 10*q**2 + 312*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-6 + 33\/3))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*2*sqrt(78))\/(sqrt(600)*2))**2.\nAnswer: -4*sqrt(13)\/5 + 1613\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/10 and -93\/221898560.\nAnswer: 221898560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 215*r**3 - 3 + 0 + 210*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2373 divided by 21\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-11))**(-3\/19))**(9\/7) assuming x is positive.\nAnswer: x**(-324\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 117560 divided by -29390\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18471030 divided by -3694206.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 34*w - 891 = -38*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -6, -1207\/2, 1515?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*y - 11, 0*a + y - 1 = a. Let m be 1\/(-2)*-2*27\/(-9). Let l = m - 10. Put -5, a, l in descending order.\nAnswer: a, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:04 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5471179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 4 (c) 0.1 (d) 1\/9 (e) 34 (f) 35\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1317801 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*b - 40 = 3*q - 201*b, 3*q + 5 = -b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 667*d - 668*d + 16 = 0, -z + 2*d = 2 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5188*3961.\nAnswer: 20549668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4862 - -4853. Let n(x) = x**3 + 10*x**2 + 15*x + 17. Calculate n(u).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2.6, 0.019, -0.0538, -1, -4?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -8. Let h(o) = o - 7. Let j be h(k). Let y(i) = -9*i**j - 7 + 8*i - 7*i**2 + i**2 + 5*i. Let d(r) = 8*r**2 - 7*r + 4. Calculate 11*d(l) + 6*y(l).\nAnswer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 424 (b) 4 (c) -1848\/125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 95.96596 grams?\nAnswer: 95965.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 22 + 78 - 136*u - 23 - 146*u.\nAnswer: -282*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, -0.5, 45, 2\/49, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -282*o**3 + 573*o**3 + 40*o**2 - 290*o**3 - 2 - 3*o as a*o**3 + s*o**2 + d*o + b and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*-5*-11*(-188)\/74965\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 8:26 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.64 + -14. Let j = y + 0.06. Sort -0.2, j, -3.\nAnswer: -3, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by 3.\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5543107?\nAnswer: 5543107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.608 rounded to two decimal places?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 33, -0.07, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -51, -80, -111, -144, -179?\n\"Answer: -i**2 - 24*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716545 is divided by 1716516.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 + 0*n**4 - n**2 - 1\/3*n**3 - 1\/600*n**5 + 1\/1800*n**6 + 0*n. Let a(k) be the first derivative of c(k). Factor a(o).\nAnswer: o*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 2\/11 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(11\/(-44)). Suppose -z = x*z. Suppose -3*c = -z*n + 4*n - 757, 0 = -4*c - 3*n + 1021. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3758, -7520, -11282, -15044?\n\"Answer: -3762*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = -0*b, -2*m + 45 = -5*b. Let w(x) = x**2 - 4*x + 4. What is the smallest common multiple of m and w(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111000000010 (base 2) to base 6\nAnswer: 24334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 + 1681653*j - 1681653*j - j**3 - 14 - j**4 as q*j**2 + l*j**3 + a + d*j**4 + g*j and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25.6 in 4, 2\/13, 1\/4, 0.21, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 - 4.82. Let j = -1.85 - -2. Let i = k - j. What is the second smallest value in i, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13. Suppose -58*w + 177 = w. Factor c - 13\/4*z**2 - 3\/4*z - z**w.\nAnswer: -z*(z + 3)*(4*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925777 is divided by 5895.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/7)\/((-161120)\/1120 - -149).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.5 (c) 3\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -11*b**3 - b - 1. Let c be p(-1). Let h(z) = -5*z**3 - 2*z**2 + 2*z + 9. Let m be h(2). Let s = c - m. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*q + 3*q. Let j(u) = u - 4. Let h(v) = -2*v + 3. Determine q*j(n) - 4*h(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866247 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*d - 13 = 3*o, 0 = o + d - 11. Let k be (7\/(-1))\/(1 - 2). What is the greatest common factor of o and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3295914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666 + -726 + 35 + 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 874 * 4\nAnswer: 3496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110002 (base 4) to base 9\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/39*(-74)\/(-185).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/192 and ((-22)\/(-24))\/(8\/1344*12).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68*(-25)\/(-1200)*-12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 - 76. Let l = k - -168.9. Which is the nearest to l? (a) -13 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1096 = -15*w + 8386. Suppose -492*l + w*l = -3426. List the prime factors of l.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 2*g + 56, -4181*o + g - 98 = -4174*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*x = 8, 2*x - x = 5*n - 28. Let k(z) = z**2 - 5*z + 4. Let f be k(n). Is (f - 6)\/(2\/(-44)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 13*q**2 - 7*q - 16. Suppose -3*o + 43 = -50. Let r = o - 20. Is m(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 487181791.442967 + -488371610.243. Let y = -1189892.8 - q. Let t = y + 74. What is t rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.112 + 6.1. Let k = h - -0.0202. What is k rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340064843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 825949 and 529147.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/27*114\/(-380).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.39.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0 + 1\/6*a**3 + 1\/12*a**4 - a + 19\/2*a**2 - 1\/20*a**5. Is d(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(14*(-1)\/(-6) - 2). Let f(z) be the first derivative of 0*z + 1\/2*z**2 + 1 - k*z**3. Find w, given that f(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*m**2 - 84*m**2 - 118*m**2 - 108*m**2 - 91*m**2.\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/48)\/(10\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 0.3, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1165 - 1792*q + 1165.\nAnswer: -1792*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m + 9. Let f be 0\/m + 4 - 2. What is the derivative of f - 5*u**4 - 2 - 1 wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9078.05026 - -0.05026. Which is the third biggest value? (a) 1\/4 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 14*l - 2. Let h = -6 + 4. Let b(v) = -4*v**3 + v**2 - 42*v + 7. Let r(f) = h*b(f) - 7*y(f). List the prime factors of r(6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/10 - 24716*y\/5 - 345926\/5 = 0. What is y?\nAnswer: -49418, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/569, 18, -9, -0.4.\nAnswer: -9, -0.4, 2\/569, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - o + 0*o - o - 12*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222078995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 2183998?\nAnswer: 7\/2183998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(16)\/sqrt(8)) - sqrt(18))\/sqrt(9) - (-5*sqrt(4)\/sqrt(2) - sqrt(12)\/sqrt(150))**2.\nAnswer: -1352\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t - x, -2*t - 3*x + 16 = -5*x. Solve 20 = -t*f + 5*s, 3*s + 1 - 16 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -4*(-4 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17161, -34323, -51481, -68635, -85785, -102931, -120073?\n\"Answer: 2*f**2 - 17168*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7943 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30951, 20311, 9671?\n\"Answer: -10640*o + 41591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 2*k - k)*(5 - 5 - 2*k**2) + (9*k - 9*k - 5*k**2)*(-k - k - 10*k).\nAnswer: 58*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233301 - -100222?\nAnswer: -133013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028129 - 922?\nAnswer: -1029051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3\/7, -1, 157\/3, 2\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 12 = -3*c + 8*d, 0 = -4*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 671621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqdddqgdbdbdbbqbb. What is prob of sequence gmd?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*z - 15800 = 146*z. What are the prime factors of z?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*y - 4*v, 7*v - 11*v = -16. Put y, 0, 5 in descending order.\nAnswer: 5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 + g + 5. Let b(n) = -9*n**2 - n - 9. Let r(k) = 4*b(k) + 7*j(k). Suppose 0*t - t + 4 = 0. What is r(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 608, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v - 75 = -5*o, 3*o = 9. Calculate the least common multiple of 2*(17 + 0 + -2) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f. Let q(s) = 77*s. Let x(u) = 66*c(u) + 5*q(u). Let b(o) be the third derivative of -o**4\/8 + 2*o**2 + 75. What is b(x(z))?\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -2*l + 3, -4*h + 10 = 2*l. Suppose -5*y - 4*v = -2464, -184*y + 188*y = 4*v + 2000. Suppose y = -l*r + 8797. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-742)\/(-4))\/(3\/(-6)). Let o = -723\/2 - b. What is the common denominator of o and -31\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10846168 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 4 + 1 + 3 - 10*j + 2*j. Let y be c(-7). What is the highest common factor of 105 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(-4*sqrt(448) - sqrt(448)))**2 + -2 + (0 + sqrt(448) - sqrt(28)\/(sqrt(4)*-2)).\nAnswer: -806402 + 17*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16.9 and -0.0192557.\nAnswer: -16.9192557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42014044 is divided by 105?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9309497km to millimeters.\nAnswer: 930949.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 34025.1 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77, -93, -111, -131?\n\"Answer: -f**2 - 13*f - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -7, -0.08 in increasing order.\nAnswer: -7, -0.6, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -41*q**2 - 6. Let z(o) = o**2 + 42*o. Let m(b) = -77*b. Let j(s) = 6*m(s) + 11*z(s). Give j(g(w)).\nAnswer: 18491*w**4 + 5412*w**2 + 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69.1 - -74. Let q = 0.1 + m. Let p = 58\/3 - 19. Which is the nearest to -1? (a) q (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45*4\/(-40)*4\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8494 - -8529. Let l(t) = -510*t**2 - 35*t + 35. Let a(g) = 30*g**2 + 2*g - 2. What is d*a(h) + 2*l(h)?\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1118*s - 416*s + 62894 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2145450 to the nearest ten thousand.\nAnswer: 2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 10) to base 6\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opkookwpplppoowpo. What is prob of sequence pwkk?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 126\/(-12)) + -7. Let d(r) be the first derivative of f*r**2 + 6 - r. What is the first derivative of d(q) wrt q?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-28))\/(603\/4221)*(2 - 19\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 2*c**2 + c - 12. Give b(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11994342.\nAnswer: 2, 3, 29, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)\/((-19)\/57). Calculate the smallest common multiple of 30 and (-4 - m)\/((-5)\/90).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21026 is divided by 163.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12130104140 + 13?\nAnswer: -12130104122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 16 = -467*c + 469*c, 29 = -l - 3*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14bb2 - -1157?\nAnswer: 16149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 3 + 10 + q**3 - 7.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -538, -1076, -1724, -2482, -3350, -4328, -5416?\nAnswer: -6614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 5*c + 6*c)*(-c**2 + 0*c**2 - 7*c**2)*(-2*c - c + 5*c).\nAnswer: -192*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 32 = 5*a - 48. Let k = 238 - 154. Calculate the smallest common multiple of a and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 17 (c) 2 (d) -5 (e) -0.1 (f) -164 (g) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:03 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6363 in 5\/3, -2\/7, -1\/2, -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 - 6*w + 18. Let c be p(7). Suppose x - 2021 = c. Suppose 0 = -b + 2*g + 587, 4*g + x = 4*b - 0*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -45.174\nAnswer: -6.32436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-4 + -3)) + (0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245305381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -6. Let l be q\/(-42) + (-1)\/(-2). Which is the closest to 0? (a) l (b) -2 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -229\/5, -5\/6, -4, 1.9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471757770 - 0.224524.\nAnswer: -471757770.224524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1124 or 1123?\nAnswer: 1123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 7*l**2 + 30*l + 15. Suppose c - 10 = -0*c. What are the prime factors of p(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-9) - (-75)\/18\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d + 29. Let w(k) = -4*k - 10. Calculate 3*o(g) + 8*w(g).\nAnswer: g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 98 + 102. Suppose -1604 = -24*u - 1004. What is the highest common factor of u and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**2 - 3*d + 6. Let l(z) = -z - 1. What is -2*g(u) + 6*l(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 143?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1450*q - 192*q = 22988 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from hhhqhhhllhlhhhh?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + -0.8. Suppose -236 = 12*b - 1532. Let p be b\/(-81)*(-54)\/4. Is p < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3008005 is divided by 1181.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15287, 15169, 14965, 14669, 14275, 13777, 13169?\nAnswer: 12445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/2)\/(3\/6). Let j = -5228 + 5749.4. Let p = j - 521. What is the third biggest value in -19, p, c?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(539) - 1*(1 + sqrt(539))) + sqrt(539)*-1 + sqrt(539) + 4 + 2 + 3) + -5)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2254*x + 271*x**2 + 265*x**2 - 805*x**2 + 269*x**2 - 2219*x**3 wrt x?\nAnswer: -13314*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10*a**2 + 21. Let t(u) = -11*u + 22. Give t(c(w)).\nAnswer: 110*w**2 - 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/7*30\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-546)*((-44)\/(-90))\/(-11)*-27.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 17*j**2 - 10*j + 26. Let h(m) = -8*m**2 + 6*m - 14. Determine -5*h(p) - 3*t(p).\nAnswer: -11*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(1\/32). Let y be (2 - -1) + (-44)\/4. Let o = y - z. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 7) + (-16 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**1)\/i*i*i**(-4)\/i)\/(((i\/(i**(-2\/7)\/i))\/i*i)\/(i**(-3\/4)*i)) assuming i is positive.\nAnswer: i**(-169\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z**2. Let k = 6986 + -6986. Let n(y) be the first derivative of 1\/3*y**3 + 9 + 0*y + k*y**2. Give p(n(m)).\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(8\/(-117)) + -1*1. Let q = u + -74. Suppose k - 2*f + 2 = 0, -19 - 19 = -3*k - 5*f. Calculate the greatest common factor of q and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a - 0. Suppose 0*i = a*i. Suppose -2*j + 298 - 10 = i. Round j to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 132*(5 + (-55)\/10). Let h be 1 - 15\/3 - w\/16. Factor 0 - 1\/8*g + 0*g**2 + h*g**3.\nAnswer: g*(g - 1)*(g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32111 times -0.3?\nAnswer: -9633.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25592808 and 1272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -0.5, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2269*u**4 + 7*u + 25 wrt u?\nAnswer: 27228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/(sqrt(9) + sqrt(18)\/sqrt(2)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -34 - (-1 - 25) - (3 + -7 - 0)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19683124739 minus -1?\nAnswer: -19683124738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 10*y + 10. Let w be i(-11). Let m be 3 + -1*w*(1 - 2). Suppose -2*u + 2 = m*x, 4*x = -2*u - u. Solve 10 = u*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/24 - t**3 - t**2. Let l be m(-10). Suppose -2 = -5*r + l*y + 7, 5*r = -2*y + 33. Solve -q = -r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*33\/22\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 1757278*r**3 - 7029124*r**2 + 7029128*r.\nAnswer: r*(r - 2)**2*(r + 1757282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44668025.\nAnswer: 5, 1786721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:20 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3 = 3*t, 4*t - 31*v + 18 = -28*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 2\/13, 5, 0.068?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 45416580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 8\/4 + 71?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27766288.25 rounded to the nearest 100000?\nAnswer: 27800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v + v)*(66*v**3 - 220*v**3 - 100*v**3) in the form t*v**4 + j*v + n + x*v**3 + r*v**2 and give t.\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 5*r**2 + 3*r + 2. Let k be h(4). What is the least common multiple of (9 + 120\/(-16))\/((-1)\/k) and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*c**3 + 281*c**3 - 1091*c**3 + 297*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 88759 - 8?\nAnswer: 88751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r - 2*r**2 + 7 + 8*r**2 - 2 + r**2 - r**3. Let y be w(6). Suppose 39 + 49 = 4*m + o, -y*m - 2*o = -113. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u**2 + u + 24160. Let o be a(0). What is o rounded to the nearest one hundred?\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7856\/(-24550)*30\/8)\/((-56)\/10)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/11))**(2\/53)*q*q**(-6)*(q**(-17)\/q)\/q)**(11\/4) assuming q is positive.\nAnswer: q**(-3497\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j + 75 = 0. Let d be ((-10)\/(-6))\/(2\/6). Let a(l) = -l - 5. Let s be a(-5). Solve -j = d*z - s*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -29, -20, -9, 4?\n\"Answer: l**2 + 4*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7627449 and -1.9539.\nAnswer: 7627447.0461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*u - 684, -170 = -2*u - 3*v + 169. Suppose 4*p - 2*f = u, p - f + 0*f = 46. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 802 - 806. What is the second smallest value in 0.4, m, 0.03, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aba when three letters picked without replacement from {h: 3, f: 1, a: 4, b: 2, n: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**4\/8 + 429795*h**3\/8 - 15389131263*h**2\/8 - 323370782163*h\/8 + 169379741817\/4 = 0.\nAnswer: -22, 1, 71643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 178837728 divided by 7?\nAnswer: 178837728\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 4 = 26. Suppose d*w - 7 - 83 = 0. Let u = -50 + w. Is u at most as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 2*b**4\/3 - b**3\/6 - 321*b. Suppose -d - 1 = -0. Let o(t) = -t**2. Calculate d*n(r) - 6*o(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2873 + -32?\nAnswer: -28a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-10)*s))**(3\/11)*(s**(-19)\/s)\/s**(-3\/5))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.7. Let d = -0.48 + 1.48. Sort 1\/3, d, j in ascending order.\nAnswer: j, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46.5 and -21?\nAnswer: 976.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -1\/294*i**7 + 0 + 6*i - 2\/7*i**2 + 1\/12*i**4 + 0*i**3 - 1\/70*i**6 + 1\/140*i**5. Let c(m) = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from {n: 3, y: 1, m: 1, d: 2, i: 1, k: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*o - 91*o + 25*o + 33*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0167 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 44 = 32. Let k = 5 + -18. Let p = k + n. Solve 1 - p = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:41 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2548 and 107588?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*c + 2 = 0, -2*c - 4 = 2*s + 4. Let l be (s\/4)\/(1\/(-2)). Solve a = -l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -44*g + 408. What is d(10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 49 = 4*o + 86, 4*o = -8. Let g = x + 148. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -12*k + 6. What is the tens digit of k\/(105\/34 + -2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(5\/(-555891)) - -3. Suppose 4*x + 480122 = -4*u - c, 3*x = 3*u + 776988. What is u rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/63*((-1140)\/(-16) + -3). Which is smaller: -14 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2345577)\/360854*2 + 13. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvrvrrrvrvrrrrrv. What is prob of picking 2 r?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 142226*x**2 + 3 + 141748*x**2 + 2*x - 283276*x**2 as z + n*x + f*x**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 6.35. Let i = z + 79.65. Let a = i - 77.999907. Round a to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228721 and 14564.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + z)*(-z**2 + 2*z**3 + z**2) - 5*z**4 + 0*z**4 + 6*z**4 + 3*z**4 - 2*z + 2*z.\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 582999658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165868, -663491, -1492862, -2653981, -4146848, -5971463, -8127826?\nAnswer: -10615937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 3*p - 3, 8*p - 9*p + 31 = -3*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/27 + (-368)\/(-36). Suppose 0 = -2*k + 2 - a. Let u be (-12)\/k*(-4)\/(-3). Sort u, 1, -0.06 in descending order.\nAnswer: u, 1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1893*i + 3616. What is d(-2)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**6\/360 + c**5\/60 + c**4\/8 - 19*c**3\/6 + 5*c**2. Let o(g) be the first derivative of h(g). Find s, given that o(s) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0089319 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 + -25. Calculate the remainder when r is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104803231*k**2*z + 1385*k*z - 196*k - 28*z wrt k.\nAnswer: 209606462*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soso when four letters picked without replacement from {o: 4, s: 4, g: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 304.59 and 2599.\nAnswer: 2903.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15050 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.0276 microseconds in nanoseconds?\nAnswer: 164027.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 91 = -541. Let f = n + 257. Suppose -5*w + 5*z + 410 = 0, 3*w + 2*w - f = 4*z. List the prime factors of w.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-14\/3)\/(v\/(v*v**(-1\/6))))**(2\/55))**(-1\/14))**30 assuming v is positive.\nAnswer: v**(29\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9415589 is divided by 1883116.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5721667 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 33*u + 25*u + 10 - 18*u to i + k*u and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-30))\/((-12)\/(-40)*-1). Let p(n) be the first derivative of -2\/11*n**2 - 2\/11*n - h - 2\/33*n**3. Factor p(v).\nAnswer: -2*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -147, -148, -149?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 - 265*w**2 - 165*w - 2248. Determine m(67).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/5 (b) -0.2 (c) 0.04 (d) 0 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lljldudjjpjlpd. Give prob of sequence lj.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(117)*-1 - -3*sqrt(117)*1)\/(sqrt(81) + sqrt(81) + 3*sqrt(81)*-1 + sqrt(81) + sqrt(81) + -3*2*sqrt(81)).\nAnswer: -7*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 + 0 + 12 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/27 and -121\/1620.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/47 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a + 76*a - 30 = -17*m, -5*a + 13 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) - (-366)\/24. Let f(r) = y*r + 9 - 8*r - r**2 + 6*r + 8. Let a be f(14). Let b(d) = -d**2 + 4*d + 1. Determine b(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -7*u**4\/6 + u**3\/2 + 3*u**2. Let n(p) = -3*p - 1. Let y be n(1). Is b(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297489 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -655 - -660. Suppose 0*w**4 + 0 + 0*w**3 + 0*w + 0*w**2 + 1\/6*w**l = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**2 - 32*z + 80. Let f be g(5). What is the third smallest value in -5, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812*h + 6 = 810*h - 4*a, 2*h - 5*a = 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 265 - -163. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*d - 3*p, -3*d + p + 7 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12628 and 2772?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261896721?\nAnswer: 3, 87298907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2. Suppose -24 = -3*d + 36. Suppose -h*f - 8 = -d. Calculate the highest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**3 + 626124968279 - 626124968279 - 6*r**3.\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = 2*j - 114 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 208 = -58. What is the remainder when 87 is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (373*c**3 + 184*c**3 + 13083*c - 13083*c)*(4 - 3 + 0) to the form x*c + m*c**2 + t + r*c**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 106, 99, 70, 7, -102, -269, -506, -825?\n\"Answer: -2*i**3 + i**2 + 4*i + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9776*u - 6075*u + 192452 = 0 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - 0)*(15\/6)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1988 - 6*k + 1988 - 4*k**2 to the form b*k + d + g*k**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, f: 2}. What is prob of picking 2 e and 2 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = 6*r - 2*r, 5*r + 5 = 5*y. Let z(d) be the first derivative of r*d - 1 + 4\/3*d**3 + 0*d**2. Let j(i) = -2*i. Calculate z(j(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from aqnq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + -4 + 45 + -43?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58181 (base 9) to base 10\nAnswer: -38791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 10:03 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149 and 50660?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 7. Let o(u) = -u - 6. Let d = 0 - -4. Let w(i) = d*o(i) - 3*x(i). Differentiate w(t) with respect to t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.014 (b) -3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -8 + -13 + 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 + 13405926?\nAnswer: 13405572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9361955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2414, -19502, -65880, -156194, -305090?\nAnswer: -527214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -333, -414, -495, -576, -657?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*d**3 + 1\/5*d**2 + 0 + 1\/5*d - 1\/5*d**4.\nAnswer: -d*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*h**2 - 1 + (-3 + 2 + 4)*(-206*h - 101*h - 65*h)*(1 - 4 + 1)*(-2*h + 2*h - 2*h) in the form p + t*h + a*h**2 and give a.\nAnswer: -4462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 3*l - 20 = 0, -5*d - 5*l + 25 = 0. Suppose 3*s - 125 = -2*s - d*t, 2*s + 3*t - 49 = 0. Suppose -2 = 3*v - s. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - 3*r + 2*r)*(-3 + 2 - 4)*(-3 - 1 + 3)*(-33 - 51 - 20) to g*r + l and give g.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441144\/(8 - -4) - -12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 6. Let v = -3 + o. Suppose 0 = b - 0*b - v. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 178 + -115 + 24 + -17 + -41\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39.3763722 and 1.\nAnswer: 39.3763722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/36*8)\/((-4)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1 + 5 + 76\/(-16). Put 1\/8, 1, p, 4 in decreasing order.\nAnswer: 4, 1, 1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*r + 54 - 17, -2*d - 3*r - 5 = -0*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1596\/(-45)*150\/9. Let v = j - -587. What is the common denominator of v and (355\/25)\/((-42)\/(-10))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8496 - 2bb?\nAnswer: -8751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76636, 76634, 76632, 76630, 76628, 76626?\nAnswer: 76624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyocchehcce. Give prob of picking 2 h and 1 c.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -16)*10\/(-1 + -39). Let h(o) = 4 + 0*o - r*o - o + 11*o - 5*o. Let g(n) = 2*n**2. Determine g(h(v)).\nAnswer: 2*v**2 + 16*v + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-r + 4*r - 2*r + (4 + 2*r - 4)*(-1 + 0 + 3)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 + a. Suppose 3*x + 0*s + s + 3 = 0, 4*x + 4 = -3*s. Give j(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 27*z**2 + 26*z - 47. Let p be d(-28). Suppose 0 = 5*w - 3*y - 59, 2*y = 4*w - p - 37. Let h be 0*((-5)\/w - -1). Solve 5*b + 10 + 0 = h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 20 = 0. Suppose -z*a = 5*p - 19 + 4, -4*p = -2*a. Let q(s) = -4*s**3 + 5*s. Let v(b) = b**3 - b. What is p*q(h) + 5*v(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-6 + 3). Suppose 6*w = v*w + 7600000. What is w rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26177, -52365, -78553, -104741, -130929, -157117?\nAnswer: -183305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 10 = -4*c. What is the lowest common multiple of c and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v - 11 = -h, 0 = 4*v + 5*h + 9. Suppose -v*y + 77 = n, 7*y - 3*y + 5*n - 81 = 0. What is the remainder when 35 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1139563, -2279125, -3418687?\n\"Answer: -1139562*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 324 = 59*a. Solve 4*h - a*u + 15 = -3*u, 3*h + 2*u = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 257*b**2*k - 48*b**2 - 23*b*k**2 - 295*b + k**2 - 70*k - 576 with respect to k.\nAnswer: 257*b**2 - 46*b*k + 2*k - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-6\/7)*l*l*l**6*(l\/(l*l**4*l))\/l assuming l is positive.\nAnswer: l**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23101999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 3*z + 7 - 10*z + 14*z in the form w*z + u*z**2 + m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 0*w**3 - 2*w**3 + 75*w - 347*w**2 - 6 - 2*w**4 - 77*w - 6 to the form b*w**2 + l*w**3 + y*w**4 + j*w + c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16.3+-41539635\nAnswer: -41539651.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -235.2 and -131794796.\nAnswer: -131795031.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531832799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62099846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 532 (b) -1 (c) -0.6 (d) -4\/5 (e) 8 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1059, -1062, -1067, -1074, -1083?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6867216 divided by 309?\nAnswer: -22224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a**3 + 2*a**2 - 1. Let b(v) = -12*v**3 - 2*v**2 + 1. Calculate 5*b(x) + 6*s(x).\nAnswer: 18*x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10994479.\nAnswer: 53, 207443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 - 0.18. Which is the closest to o? (a) 1 (b) 5\/3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -18*s**2 - 329*s - 46. What is t(-18)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(726) + sqrt(726) + sqrt(726)*-1 + sqrt(726) + sqrt(726) - (sqrt(96)\/sqrt(2))\/sqrt(8))\/(1*2*sqrt(162)*4).\nAnswer: 4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 19*o**2 - 3. Let x(s) = -334201*s**2. Determine a(x(p)).\nAnswer: 2122115859619*p**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 906963722 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195 - -227. Solve -r - 2*r - n = 4*t, -20 = 5*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-20)\/(-2) - (-6)\/(-3). Let k(v) = -v**2 + 5*v + 5. Determine k(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:49 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 1. Let l(h) = -4*h**2 + 12*h + 5. Let c(n) = 3*k(n) + l(n). Suppose -27 = -w - 2*w. List the prime factors of c(w).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (670\/(-6) - -1)*(643\/(-1286))\/((-4)\/(-6))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26375?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2815 (b) 1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(-4 + 3*sqrt(2) + sqrt(2) + sqrt(2))**2.\nAnswer: -1056 + 640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -25 - (-7 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -23*o**2. Let t(j) be the third derivative of j**5\/20 + 147*j**2. Calculate s(t(x)).\nAnswer: -207*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/13)\/n)\/n)**12 assuming n is positive.\nAnswer: n**(-336\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 8. Suppose -6*t + 3*t = -9. Suppose -3*d = 2*l - 25 + 4, -42 = -t*l - d. Suppose -3*p = 4*x - l, 3*p + 0 = x + 15. Calculate o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 12. Suppose -5*k = 3*h - 571, 0 = -4*h - 2*k + 105 + 661. What is the least common multiple of i(-9) and h?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxxxjvrrrrxlbrvvxxbr. Give prob of sequence lrjv.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608 + -0.4.\nAnswer: 607.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/3231584?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**4\/3 - 16*m**3\/3 + 14*m**2 + 9*m. Suppose r(p) = 0. Calculate p.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45826*a + 92271*a + 15535*a + 39408*a - 23351*a.\nAnswer: 169689*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 73140259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from ajjjjtaaaaatjjjaaj.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285439 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 + 11*x**2\/4 + 2*x - 5.\nAnswer: (x - 1)*(x + 2)*(x + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2472 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 - 36*a**2 - 50*a - 279. What is d(0)?\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10*(6\/66)\/((-92)\/6578)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 4*p - 16. Suppose 3*l = p*h - 1 + 5, 2*l - 8 = 0. Let a = -5.61 - -0.61. What is the biggest value in h, -3, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643703670 to the power of 1\/2, to the nearest integer?\nAnswer: 25371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*d - 40, -2*o + 2*d + 60 = 3*o. Suppose 0 = -6*s + 2 + o. Let p(m) = -5*m**s + m**3 - 9*m + 3*m**2 + 2 - 3*m**2. Give p(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14503.3 rounded to the nearest 100?\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 1:10 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 124198 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, u: 2}. What is prob of sequence puup?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*n = 92*n + 3*a - 18, 0 = n - 5*a + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**5 + 80*a**4 + 255*a**3 + 160*a**2 - 260*a - 240 = 0.\nAnswer: -12, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 7*d - 3*d)*(-11 - 19 + 0)*(354 - 354 + 35*d**3) to the form w*d**4 + g + s*d**3 + z*d**2 + v*d and give w.\nAnswer: -3150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 298a053 (base 12) to base 2\nAnswer: 100000000001011110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-4)\/6)\/(36\/54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1179 - 5893\/5. What is the second smallest value in -155, 0.3, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 193.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15154 + 6 + -6 + -5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -3\/5 (c) -16 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 263\/3. Let v = 2.5 - 2. Which is the biggest value? (a) v (b) 7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 27*n**5\/20 + n**3\/6 - 11*n**2 - 52*n - 1. Find the second derivative of b(d) wrt d.\nAnswer: 162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.004 - 0.026. What is g rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7860481 and 45014.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssssssssosso?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5)\/((y\/y**(-13\/3))\/y)*y*y\/y**(-21)*y**6)**(-22) assuming y is positive.\nAnswer: y**(-7942\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c**2 + 31*c - 9. Let x(s) = s**2 - s + 2. Let g(z) = -j(z) - 4*x(z). Let m(y) = 9*y**2 + 13*y. Let i(n) = -2*g(n) - 5*m(n). Factor i(o).\nAnswer: -(o + 1)*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 0*p - 12*p**3 + 13*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/80)\/(-2 - (-18)\/(-24)*-4). Which is the smallest value? (a) z (b) 4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 9*u**3 + 30*u**3 + 4 - 45*u**3 + 2*u**2 + 4*u**2. Let p(z) = -13*z**3 + 13*z**2 - 9*z + 9. Calculate -9*m(j) + 4*p(j).\nAnswer: 2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(((j*j*j**3\/j)\/j)\/j*j))\/((j\/j**(-5\/3))\/j))**(2\/5) assuming j is positive.\nAnswer: j**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -28. Suppose 0 + 4 = -o*p. Is 3 a factor of 6\/p - 0 - -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 5. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and 2.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -5, 148, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -1. Let d = 17 + r. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2086 - 2083. Let j(m) be the second derivative of 1\/40*m**5 + 1\/84*m**7 - 3 + 0*m**s + 0*m**4 + 0*m**2 + 1\/30*m**6 - 9*m. Suppose j(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3 minus 21.221971?\nAnswer: -31.521971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85, -324, -723, -1282, -2001, -2880?\n\"Answer: -80*x**2 + x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 2, -0.9714, 16, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498652 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 4 (c) -1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k = -40*k + 120 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from nynrniysysnyynnsysnr?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 6 - 15 = o, -2*z - 5*o = 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:14 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*j + 28 = 3*j, 0 = 5*c + 2*j - 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 11 + 3. Find the second derivative of 92*m**2 - 92*m**t - 5*m**4 - 4*m wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) 1\/4 (c) 94 (d) 21 (e) -1\/8 (f) 2.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4212213441 (base 5) to base 6\nAnswer: 510410212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -13 + 31 - (7 - 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4*x + 33*h**2*x - 118*x with respect to h.\nAnswer: 8*h**3*x + 66*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 2797 (b) -3\/20 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -3 (b) 0.0017 (c) 0.2 (d) 2086\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1291948 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007083 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/((-5049)\/34)*(-81)\/(-78)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.62959 + -240.69459. Let w = -245 - j. Let d = w + -0.065. Which is the closest to 1? (a) -3 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10279 or 9486?\nAnswer: 10279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 18*i + 552 = 0. Let w = i + 26. Is w a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 2. Let x be u(2). Let f(w) = -w + 6. Calculate f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 7 = 5*c, u + 4*c = 6*c - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -864 by 432.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-4) - -2) + 17\/(-34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -48. What is the remainder when 86 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 29 - 41 = 0. Solve o = v + v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 534 and -0.5.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlln when four letters picked without replacement from ubvzlvzn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 494 + -742. Let q = -260.1 - o. Let l = 12 + q. What is the closest to 1 in -3\/2, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 3*n - 17, 0*n + 26 = -2*c + 4*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 8, -1 in decreasing order.\nAnswer: 8, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) 1\/8 (b) -5 (c) 7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 9*a + 28. Is 14 a factor of t(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6276*w**2 - 159*w - 2840297 wrt w.\nAnswer: -12552*w - 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 55\/(-5) + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252414437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 10*u**2 + 10*u - 1. What is n(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -364 - -857. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 - -3) + -13)*-28*715\/(-3080).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11480.1 take away 163676.3?\nAnswer: -152196.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, s: 3, h: 2, p: 3}. What is prob of picking 1 f and 1 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28631 + 30048. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(5*2\/30). Let n(w) = 21*w**2 - 9*w + 4. Let b(j) = 10*j**2 - 4*j + 2. Let c(z) = x*n(z) - 7*b(z). Let k(h) = h**2. Calculate -c(a) - 5*k(a).\nAnswer: 2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 19*f**2 + 2*f - 98. Let u(x) = x**2 - x + 49. Let z(a) = 2*g(a) + 4*u(a). Let v(t) = t**2 + 2*t**2 - 5*t**2 + 4*t**2. Give v(z(o)).\nAnswer: 3528*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from iiiiiiiiiiiiiiinii?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 4075*g**2 - 45*g + 36675.\nAnswer: 5*(g - 815)*(g - 3)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -523*p + 525*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194, -414, -646, -896, -1170, -1474, -1814?\n\"Answer: -m**3 - 213*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1. Let z be k(-2). Which is the closest to 3? (a) -2\/3 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 2*y**2 - y + 3. Let q be l(-3). Let d(g) = -g**3 - 3*g**2 - g - 4. Determine d(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, 1 c, and 1 m when four letters picked without replacement from {s: 1, f: 1, m: 8, c: 6}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l. Let y(r) = -r + r + 5 - r + 2. Let t be y(6). Calculate q(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4736\/9 - 526. Factor 2\/9*z**4 - g*z**3 + 2\/9*z + 0 - 2\/9*z**2.\nAnswer: 2*z*(z - 1)**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 138 = 5*c - 0*r, -4*r = -8. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*g**3 - 366*g**3 - 287*g**3 - 511*g**3.\nAnswer: -1746*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:14 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001817 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.4 (b) 1\/12 (c) 2.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -33. Suppose 0 = -2*j + 2*w, x = 5*j + 4*w + 12 + 33. Is j > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Suppose 14*b - 9*b = 10. Suppose 0 = -5*z, -2*y = b*y - z - 24. Put y, 3, u in ascending order.\nAnswer: u, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/209703 + 27051127\/58716840. Let l = -3\/35 + o. What is the nearest to 1 in l, -2\/9, 2\/19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9159 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 6*a**2 + 6*a + 2. Let z(c) = -c**3 - 4*c**2 + 8*c + 7. Let n be z(-5). Suppose -3*g + 3 = -4*g. Let t be (n\/g + -1)*3. Determine d(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12748 and 29259847.\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21261 is divided by 8558?\nAnswer: 4145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000009046571 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 8799735?\nAnswer: 43998675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90776?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19916 + 36918. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 6 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 + 6*d - 8. Suppose -5*v + 10 + 10 = 0. Let p be z(v). What is the greatest common factor of p and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 4*d + 110 = 0. Let w = d - 17. Find the third derivative of -4*k**w - 6*k**5 + 5*k**2 + 8*k**2 + k**5 wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1326 divided by -221.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 2*u + 3. Suppose 8*g = 4*g - f + 11, 4*g - 4*f - 36 = 0. Let t be 11\/g + (-2)\/(-8). What is the units digit of i(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9135 - 4?\nAnswer: -9139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -21880012 and -21880011 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(140))\/(sqrt(35)\/(sqrt(7)*2)) + (2*(sqrt(77)*1 - sqrt(77)))\/sqrt(11)*1)**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 6*l**2 + 3*l + 4. Suppose -m + 2*b + 1 = 0, m + b + 0 = 4. Suppose -m*w + w = 8. Is 12 a factor of j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, e: 4}. What is prob of picking 2 w and 2 e?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in 0.1, -4, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20559 - 20559.64588. What is y rounded to three dps?\nAnswer: -0.646","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 118*o - 2. Let s be d(-1). Is (1 - 2)*s*22\/33 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 q when four letters picked without replacement from {x: 2, q: 2, r: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*t)*(-15959 + 15959 - 311*t).\nAnswer: 622*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53\/98 + -2\/49. Which is the third smallest value? (a) g (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0 + 0*a**3 - 1\/6*a**4 + 28*a + 23\/2*a**2 - 1\/30*a**5. Let v(f) be the first derivative of u(f). Let v(i) = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 3, m: 1, r: 1}. What is prob of sequence sa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68359 (base 12) to base 8.\nAnswer: 416765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.1 - -27. Let y = 35 - 24. Let x = -21.28 + 21.38. Which is the closest to x? (a) i (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t*(t**12*t)\/t*t*t*t)))\/t**(2\/41))**(2\/15) assuming t is positive.\nAnswer: t**(278\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f - 6 = w, 7 = 4*f - 3*w. Let o(t) = -5*t**3 + 4*t**3 + 3*t**3. Let j be o(f). Solve 3*m - 2*m = j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 155 + 1754*y**3 + 149*y**2 - 78 - 1763*y**3.\nAnswer: -9*y**3 + 149*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Suppose -k + 8 = -h. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 2*b**2 - 46*b + 8. Let g be k(20). What is the tens digit of (-6)\/(-4)*g\/(-72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -677989.6451 + 678084.64510051. Let c = -1.97 - 93.03. Let h = c + o. What is h rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/288 and -75\/128.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, x: 6, w: 1}. Give prob of sequence uuuw.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 153958446.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 6391?\nAnswer: 19173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k - 86. Let g be x(10). Let i(s) = s**3 + 6*s**2 - 5*s - 2. Let w be i(-3). Suppose 5*t = -2*o + 35, t = 6*t + o - w. Solve 1 - t = g*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-9 + 6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23261802?\nAnswer: 2, 3, 241, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 7*n**2 + 29 + 3*n**2 - n**2 + n**2 + (-n - 2 + 2)*(-n - n + 0*n) + 4*n**2 + 0*n**2 - 5*n**2 in the form d*n + x + o*n**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.06. Let b = 7.94 + k. Let o = b - 7.9986. Round o to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 34 = -4*c, j + 3 = -4*c + 30. Suppose j = -4*y + 23. Solve 4\/5*f + 0*f**2 + 2\/5*f**y - 2\/5 - 4\/5*f**3 = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1.4, -1\/193, -3, -5\/7.\nAnswer: -3, -1.4, -5\/7, -0.4, -1\/193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2. Let l(t) = 9*t**2 + 3. Let k(d) = -8*d**2 - 2. Let j(g) = -3*k(g) - 2*l(g). Let p(b) = -8*a(b) + j(b). Let x(w) = w. Give x(p(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z + 20. Let i be u(12). Let x = i + -57. Calculate the remainder when x is divided by (0 - 1)\/(2\/(-32)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 237*r - 252*r + 75 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1200, 6236, 19868, 46392, 90104, 155300?\n\"Answer: 716*i**3 + 2*i**2 + 18*i + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 70, 4, 5, 1 in decreasing order.\nAnswer: 70, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**(-14)*(u*u**(4\/9)*u)\/u**(-4\/11) assuming u is positive.\nAnswer: u**(-2494\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 5 - (-28 + 13 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 1458?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 622.0425kg in milligrams?\nAnswer: 622042500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179628*o**2 - 89824*o**2 - 89825*o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3 = -2*j + 3, -6*j - 16 + 78 = 9*h - 4*j for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {z: 3, f: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 + 0*b**2 + 3*b - b + 2. Let i be d(-1). Suppose -i*y + 6*y - 2 = 0. Solve 5 + 1 = y*o + 3*w, -3*w + 15 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135134 divided by 3?\nAnswer: 135134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**5 - 165*w**4 + 16100*w**3 + 569060*w**2 + 1592160*w + 1039360 = 0.\nAnswer: -56, -32, -2, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 - 6*i**2 - 3*i**2)*(6 + 2*i - 9*i**3 - i - 4).\nAnswer: 27*i**5 - 3*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1000023 and -252?\nAnswer: -252005796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1742 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2 + 2)*(-12 - 7 + 7)*(-3*o**4 + 6*o**4 + 2*o**4).\nAnswer: 180*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, n: 2, f: 3, u: 3}. Give prob of sequence unfu.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -149, -309, -471, -635, -801?\n\"Answer: -u**2 - 157*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -291, 1, 0, -39.\nAnswer: -291, -39, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 246c4 + 864?\nAnswer: 25038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o - 3. Let f be 12*((-7)\/(-2) - 3). Let q(c) = -5*c - 1. Let r(j) = f*t(j) - 13*q(j). Calculate r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 12, u: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1900) + 0) - (-3 + sqrt(1900)*1))**2.\nAnswer: -240*sqrt(19) + 30409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 313132232?\nAnswer: 313132231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596991 is divided by 282.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225762 and 121746.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18412, 18415, 18418, 18421?\nAnswer: 18424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 1. Let s(n) = 6*n - 4. Let q(r) = -3*s(r) - 8*z(r). Give q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3*u - 21*f**3 - 17*f**2*u**2 wrt u?\nAnswer: f**3 - 34*f**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5271*y**2 + 75*y + 14 wrt y.\nAnswer: 10542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 4\/8889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66629.\nAnswer: 66629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1 (b) -4 (c) 1\/54 (d) 2825\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 297?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8732 divided by 236\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*w**4\/2 - 11355*w**3\/2 + 1298925*w**2\/2 - 48998625*w\/2 - 22813125.\nAnswer: 3*(w - 115)**3*(11*w + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 22 = -5*f - 6*x, -2*f + 7 = -x. What is the third derivative of -u**2 + 2*u**4 - 6*u**f - 1725*u**5 + 1726*u**5 - 25*u wrt u?\nAnswer: 60*u**2 - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r. Let y(o) = 26*o - 15*o - 10*o. Determine h(y(u)).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 987 and 19881?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -o, 5*o + 16 + 8 = 12*j + 14*j for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 - 12*t - 40. Let h be y(-3). Let s be 10\/18 + 4\/(-18). Factor s*x**2 + 0*x - x**3 + x**4 - 1\/3*x**h + 0.\nAnswer: -x**2*(x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -7*d + 2. Let z = -1 + d. Calculate the common denominator of z\/(-1) - (-148)\/88 and -41\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -248*v - 190. Suppose -3*a + 7 = 5*g, -2*a - 27 = -6*g + 3*g. What is the hundreds digit of z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/((((v\/v**3)\/v)\/v)\/v))\/v)*v**2\/v)\/(v**(-1\/10)\/v**(7\/3)) assuming v is positive.\nAnswer: v**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-8) - 348\/(-16) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 23.8018\nAnswer: 1.666126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 189158 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/6)\/((-81)\/(-12) + 0). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (652\/8)\/((-5)\/(-10)) - -5 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 479\/1110?\nAnswer: 479\/1110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 116 = -24. Suppose 103 = u*a - 57. Calculate the remainder when 51 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 7 - 21*a - a**2 + 0 + 9*a. Let t(b) = b**2 - 5*b - 1. Let z be t(4). Calculate m(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 3*w**2 - 8*w - 3. Let j(b) = -b**2 - 5*b + 9. Let m be j(-7). Calculate k(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*m**3 - 19*m + 86*m + 37*m - 191*m**3 as w*m**2 + h*m + d + g*m**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365523 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1163*-0.2.\nAnswer: 232.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7280505.\nAnswer: 3, 5, 17, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/9, 2\/31, 19, -0.07, -0.4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78689 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/18)\/(12\/54). Let z(r) be the first derivative of 13*r**3\/3 - 3*r**2\/2 + 5*r - 1. Calculate the remainder when z(i) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 7*b - 25. What are the prime factors of p(10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 178 and 187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.4903t in micrograms?\nAnswer: 598490300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -4*i + 4900. Let y = i + -176. List the prime factors of y.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*h**3*p - 335*d*h**3 + 2*d*h**2*p + 3*d*h*p - 3*d*p + h*p + 10*p wrt h?\nAnswer: 6*d*h*p - 2010*d*h + 4*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*p - 9 = -131 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2 + 144*l + 2592 = 0.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/10)\/f**(-18) assuming f is positive.\nAnswer: f**(183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u**5\/8 + 27*u**4\/8 - 53*u**3 + 71*u**2\/2 + 276*u - 40 = 0.\nAnswer: -10, -2, 1\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76*i**2*t - 28*i*t - 12*i + 19923865*t wrt i?\nAnswer: -152*i*t - 28*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1451335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**2 - 3*d - 2. Let f be (-6)\/(5 + -2) - 0. Let k be a(f). What is the common denominator of -1 + 39\/k + 0 and 113\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18567346460 take away -5?\nAnswer: -18567346455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l + 7\/6*l**6 + 0*l**2 + 18 + 0*l**3 + l**4 + 16\/5*l**5. Determine t so that n(t) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvv. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (396\/28)\/(-9) + (-6)\/14. Let u = -6 - m. Put -1\/4, u, 2\/5 in decreasing order.\nAnswer: 2\/5, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-48)*4*21. Suppose 0 = -l*w + 68 + 2081. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-10) + (-7)\/2. Let v be (i\/(-1))\/(-3)*-1. Let u = -810 + 815. What is the nearest to v in -7\/4, -3\/5, u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -8 - -1) + -3 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04427405439 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2337 and 615?\nAnswer: 11685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283684.1 micrograms in nanograms?\nAnswer: 283684100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 784, 1160, 2286, 4570, 8420, 14244, 22450, 33446?\nAnswer: 47640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/26 - 43\/234. What is the closest to -0.1 in 0, 0.4, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -157*q + 152*q + 1860. Suppose -3*n = 4*a - 1412, 0 = 5*n + 3*a - q - 1985. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 + 201 + 70)*(4*l - 5*l + 2*l + (l - 2*l + 2*l)*(4 - 2 + 0)) as z*l + b and give z.\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 41\/6, 4, 83 in decreasing order.\nAnswer: 83, 41\/6, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -58, -129, -218, -325, -450?\n\"Answer: -9*u**2 - 26*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 6*f - 9*f + 78 = 2*f, -12 = -2*o - 202*f + 205*f for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o + 2. Let q(t) = 3*t**2 + 1. Suppose 3*a + 1 = 2*a. Let u be q(a). Let k(y) = 4*y + 5. Let v = -3 - 6. Determine u*k(d) + v*r(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/1*329\/(-2583). Let z = 2\/41 - y. Do z and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 3*l**3 + 5*l**3 - 287*l**4 + 1 + l**2 + 281*l**4 - 2*l**3 in the form v*l**2 + i*l**3 + w*l**4 + d + z*l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 10*g**2 + 13*g + 25. Let t(l) = -l - 17. Let h be t(-6). Let v be r(h). Suppose y = -5*j + 1467, v*j + 2*y - 875 = 4*y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 6*l - 9. Let f be (-21)\/(-2) - (-3)\/(-6). Suppose 13*a = 11*a + f. Let s(m) = m**2 - 6*m - 1. Let g be s(a). What is h(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -913?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62.61 - -63. Round a to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*g + 4*s - 3, -32 = -3*g + 2*s. Let v = g - 3. What is the remainder when 13 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -918, -1868, -2818, -3768, -4718, -5668?\n\"Answer: -950*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*x - 11 = 0, -4*x = -5*a + 5 - 12. Suppose -2*d + 10588 = 2*y + 80, 0 = -d - a. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/3 + 485*i**3\/3 + 721*i**2\/3 - 482*i\/3 = 0.\nAnswer: -241, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 3 = -100 - 49. Solve -x = -2*p, 3*r - 7 = -2*p + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1372))**2.\nAnswer: 56*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32714.6 + 32388.566. Let j = -326 - u. Which is the second biggest value? (a) 4 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w - 2. Let n(r) = -9*r**2 - 7. Suppose 12 = 4*c, 4*h - c + 0*c = 53. Let p(f) = -4*f**2 - 3. Let u(j) = h*p(j) - 6*n(j). Give u(l(o)).\nAnswer: -128*o**2 - 64*o - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1872))\/(sqrt(4) - 6*sqrt(12)\/sqrt(3)) + 3.\nAnswer: 3 + 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10. Suppose z = -3*c + 88 + 137. Suppose r + c = 6*r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89949 (base 11) to base 15\nAnswer: 288d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmymmmymm. What is prob of picking 2 y and 1 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2726.\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 962 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kllllkllk. Give prob of picking 3 k.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - (5 - 3)) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41895695 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -9*z**2 + 26\/3*z**3 + z + 2. Differentiate n(m) wrt m.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.95 + -0.63. Let l = s - -5.5. Let z = 0.08 + l. What is the closest to -0.1 in -2, z, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Suppose 4 = o*d - 2. Suppose y - 5 = d. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 14*m**2 - 19825*m + 19824*m + 10)*(-3*m**2 - m + m).\nAnswer: 42*m**4 + 3*m**3 - 33*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.56 - -0.826. Let o = -0.2304 + l. Round o to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 47495796*b**2 + 47495795*b.\nAnswer: b*(b + 1)*(b + 47495795)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((6\/20)\/(-3)). Sort -4, -6, -2, n in descending order.\nAnswer: -2, -4, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 44. Let b(p) = 9*p + 7*p - 19*p + 0*p. Calculate b(k(n)).\nAnswer: 6*n + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 538, 540, 546, 556, 570, 588, 610?\n\"Answer: 2*f**2 - 4*f + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, -7, -6, 5, -1.\nAnswer: -7, -6, -5, -1, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.01. Let z = -84140 + 84140.3. Which is the nearest to -2\/3? (a) -0.4 (b) z (c) -2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) 0.04 (c) -5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -128*r - 71. Let t be p(-4). Suppose -u - t = -8*u. Calculate the greatest common factor of u and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 122490*d**3 - d + 4*d + 122394*d**3 - d**4 to the form z*d**4 + p*d**2 + a*d + q*d**3 + i and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 339 + -214. Suppose 4*c - 473 = -d. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s**3 - 2*s**2 + 423*s - 12168 wrt s.\nAnswer: 12*s**2 - 4*s + 423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o + 3. Let j be c(2). Let z = 42 + -167\/4. Let h be (-50)\/36*2 + 3. Sort j, h, z in descending order.\nAnswer: z, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 214. Let o = r + -102. Calculate the remainder when 34 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1, 0.01, -1\/3, 14, 0.088, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*i + 273*i = 184. Calculate the remainder when 177 is divided by i.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b50db (base 14) to base 4\nAnswer: 13310132221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c\/((c**(1\/7)*c)\/c)))))**(-1\/30) assuming c is positive.\nAnswer: c**(-1\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44493 in -5, 1\/2, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 461799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 - 100275*f**3 + 3124920*f?\nAnswer: -24*f**2 - 601650*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64236 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (22\/4)\/(1 - (-5 + 8)) + 209979\/(-4444)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 - 145*j**3 - 260*j**2 + 21120*j + 138240 = 0. Calculate j.\nAnswer: -16, -9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + 12*i. Let p(o) = -o**2 - 4*o. Let l(b) = -16*p(b) - 5*z(b). What is the second derivative of l(s) wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07211 + -0.0797. Round h to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -210150283*u**5 + u + 49788060?\nAnswer: -4203005660*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123377933*s + 325816230 with respect to s.\nAnswer: 123377933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*c**4 + 4*c + 129*c**4 - 67*c**4 wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 1125 = -15*p. Suppose -p*v + 134*v + 162 = 0. What is v rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, 1 g, and 1 w when four letters picked without replacement from xxxxcwwggw.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/1573 in 0, 2, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 406 + -1?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 775\/59 - 5\/472. Let q = 501\/40 - x. Sort 0.3, q, 0.1.\nAnswer: q, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/35 and 75\/1454.\nAnswer: 50890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8*r + 40. Let u = -69 - -57. Let y be (1 + r\/u)*0. Solve -2*d = -y*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/9 - 133750*t**3\/9 + 745399894*t**2\/3 - 2235798442*t\/9 - 4472131876\/9 = 0?\nAnswer: -1, 2, 33437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 248+-198153700\nAnswer: -198153452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208032963*z**4 + 3*z**2 - 8704789 wrt z?\nAnswer: 4992791112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -5. What is the third smallest value in -0.3, -0.2, u, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 4 (c) 11 (d) -36\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/4 in 1\/4, 542, -15\/266?\nAnswer: -15\/266","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 13) in base 5?\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1066 + -1075. Let i(p) = 6*p + 13. Give i(l).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2581 + -2326. Calculate the lowest common multiple of u and 85.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**2 - 5*i**2 - 5*i**2. Let h(g) = -42*g + 22. Let c(f) = 2*f - 1. Let r(z) = 44*c(z) + 2*h(z). Calculate x(r(a)).\nAnswer: -288*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*n - 9*n**2 + 27*n + 3 wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -6 + 66 - ((-79)\/(-316))\/(1\/(-16))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17230676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 15 + 21 - 57 + 42*b**3 + 11.\nAnswer: 42*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*l + 7011*l**2 + 4*l - 3*l - 5*l.\nAnswer: 7011*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - f**2 - 2*f - 2 + 2*f**3 - 2*f**4 + 2*f**2 to the form n*f**3 + h*f**2 + y*f + v*f**4 + c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykyk when four letters picked without replacement from kfnfkkfnfkbbyh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -18*d + 124. Let b be m(7). Sort 2, 11, -12, -1, b in descending order.\nAnswer: 11, 2, -1, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*x = -82*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 16317 = 799*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(1377) - sqrt(17)*-2*-3) + 5 + sqrt(2057) + 0 + sqrt(2057))**2 + -1 + -4.\nAnswer: 340*sqrt(17) + 19671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let n(c) = 3979922*c. Give n(u(z)).\nAnswer: -3979922*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.08 and -3?\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*k**2 - 77*k**2 + 158*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - b + 3 = 11, 5*b = -20. Let g = 1 - t. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-33) + 2\/(-3). Sort c, 5\/6, -1\/2, -0.4 in descending order.\nAnswer: 5\/6, c, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 3 = -3*o - 30*p, 21 = -2*o + 5*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 136?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.109 - 5954127.660007.\nAnswer: -5954127.769007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -85 (c) 8 (d) -4 (e) -2\/3 (f) 1\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1153725271 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32235408?\nAnswer: 2, 3, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -1, 7\/155?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4166 - 2050. Calculate the lowest common multiple of h and 36.\nAnswer: 19044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*j - 9. Let f(g) = 2*g + 4*g**2 + 2*g**2 - j - 5*g. Is 12 a factor of f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2\/7 - 1149941460*u\/7 + 110197113452244300\/7 = 0.\nAnswer: 191656910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -13 - (-29 - 14583) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 9:54 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 4547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d + 6*z - 4 = -22*d + 8*z, 0 = -5*d - 2*z - 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2, 134 in increasing order.\nAnswer: 0, 1, 2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 5*k + 57, -268*r + 5*k = -266*r - 27 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*7148.\nAnswer: -2144.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-6))\/5 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 3*z**2 - 10*z - 2. Determine c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u - 5*j + 227, 3*u - 653 = -j. Let h = u - 154. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 16 + 22. Suppose 0 = q - 65 + d. Let u = -16 + 40. Calculate the remainder when q is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*l - 23, 5*l = -2*z - 6 + 13. Suppose 0 = 4*t + 4*c + l - 39, 0 = -4*t + c + 11. What is the second smallest value in t, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*s + 2*j, -2*j - 1 - 15 = -2*s. Suppose -5*l = -8*l + s. What is the highest common divisor of l and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 - 10*y - 1. Let b(s) = -s - 1. Give 2*a(z) - 22*b(z).\nAnswer: -6*z**2 + 2*z + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.0274, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10011303021 - 1?\nAnswer: 10011303020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 e when four letters picked without replacement from ekmjmweekemeekm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 124*f**2 - 9*f + 820. Give z(124).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 10*r + 5. Let w be g(7). Let f = -16 - w. Let n be (1 - (f - -28))*-2. What is the highest common factor of n and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(s**2 - 821*s**3 + 819*s**3 - s**4 + 2*s**4) in the form p*s**2 + c*s + d + b*s**3 + q*s**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 59*b**6\/60 - b**4\/24 - 155*b**3\/6 + 147*b**2. Differentiate j(n) wrt n.\nAnswer: 354*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.73512 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4*v + 5*v)*((6*v**2 + 9*v**2 + 35*v**2)*(-v + 0 - 4 + 8) - 4*v**3 + 6*v**3 + v**3).\nAnswer: -94*v**4 + 400*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - 395397?\nAnswer: -395413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 22*y**2 + 11*y - 211. Determine m(-22).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v**4 - 30*v**4 - 15*v**4 + 0*v**4 + v**4 - 2*v**4 + (-v**3 + 3*v - 3*v)*(2*v - 3*v - v) - 4*v**4 + 0*v**4 + 6*v**4.\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/10, -3\/7, -0.3, 87, -1 in ascending order.\nAnswer: -1, -3\/7, -0.3, -1\/10, 0.5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azaiavvavarzrir. What is prob of picking 2 i, 1 v, and 1 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 20*c**2 + 195*c + 59. Let z be o(-27). Suppose 1744 = -2*j + 4*y - 2*y, -2*j = 2*y + 1752. Let v = z - j. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f + 65. Let x be i(9). Let c be (-2 + x)\/((-81)\/108). Calculate the greatest common divisor of 16 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19*o. Let s(j) be the first derivative of j**5\/120 + j**3\/3 + 18. Let p(f) be the third derivative of s(f). Determine p(t(h)).\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423 divided by 96.\nAnswer: -141\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/2 - 4228*w + 8455\/2 = 0.\nAnswer: 1, 8455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 1185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 6 = 2*j, -39*j = -4*a - 41*j + 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(19)*-3)**2 + 0 + 4 - 4*(sqrt(1900)*3 + 3)) + -5.\nAnswer: -96*sqrt(19) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -4, -18, -7, 66 in increasing order.\nAnswer: -64, -18, -7, -4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7992 or -7955?\nAnswer: -7992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lssllsssl. What is prob of picking 2 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 8:20 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222211 (base 4) to base 13.\nAnswer: 4c7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -14201726 and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 68*j**2 - 135*j - 147. Let o be q(-66). Calculate the greatest common factor of 85 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -18*p**2 - 12*p - 8. Let t(m) = -12*m**2 - 8*m - 5. Suppose -3587 = 599*v - 271 + 1476. Determine v*t(j) + 5*z(j).\nAnswer: 6*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10533288 <= 10533286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f**2 + 2\/3*f**3 - f + 3. What is the first derivative of v(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3839 + -3839. Which is the smallest value? (a) -1\/3 (b) -0.7 (c) -3 (d) -5 (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/60*(-29)\/(435\/20)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 35611950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26484, -25576, -24668?\nAnswer: -23760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 12 = 3*a, -3*a + 4 = -2*a. Let q be 90\/(-2)*(4 + -9). Let g = q + -117. What is the highest common divisor of c and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(80)*6 - sqrt(80))\/(sqrt(80)*-1))\/(-4*(-2*sqrt(128) + (sqrt(8) - sqrt(72)*2))).\nAnswer: -11*sqrt(2)\/208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164300 and 1695700?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 28 = 5*v. Let n be 7 + 0 + v\/(-3). What is the third derivative of -4*a**2 + 2*a**2 + 6*a**5 - 4*a**5 - 3*a**n wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1 + (sqrt(17) - (sqrt(17) - sqrt(34)\/sqrt(2))))*-5 - ((sqrt(119)*-2)\/sqrt(7) - sqrt(153)\/(sqrt(9)*-2))))**2.\nAnswer: 875*sqrt(17) + 23325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267868239 to the nearest integer?\nAnswer: 16367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-6\/5)\/v*v**15 assuming v is positive.\nAnswer: v**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g**2. Let w(y) = -3145*y**2 + 1. Calculate w(a(v)).\nAnswer: -531505*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*n - 23*n - 28*n to the form g*n + j and give g.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 7:44 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763838567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(-17)*o*o\/(o*(o*o\/((o*o\/((o\/(o\/(o\/(o\/o**(-9\/2)))))\/o))\/o))\/o)*o assuming o is positive.\nAnswer: o**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15142412\/5 or 3028481?\nAnswer: 3028481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-15 - -10) + 10 + 2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-247)\/(-95) + 4\/4)\/((-2)\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 134.24 and -13882919.\nAnswer: -13882784.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1029621416*k + 1029621407*k + 59*k**2 - 9*k**2.\nAnswer: 50*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -6*j + 14. Find the second derivative of -9*l - 22 + 87 + 17*l + 186*l**j - 9*l wrt l.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (7 + -13 - -11) - (12 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2)*31\/((-62)\/(-120)). Suppose -27*a + z*a - 4767 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d - 499. Let j be k(-48). What is the nearest to -1\/4 in j, -3, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d - x = 165, -4*d + 132 = -3*x. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/4680*-20 - (-716)\/(-26)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3836*y - 11. Let h(l) = -3837*l - 10. Let b(k) = -5*h(k) + 4*s(k). Is b(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1632)\/80 - -8)*30\/12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 242 - 22 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:18 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 2)*(-5*r + 3*r + 4*r) - 2*r + 4*r - 4*r - r + 0*r + 2*r + 1 - 1 + 2*r)*(0 + 29 - 93).\nAnswer: 64*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1528365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 1\/3, 3.1, -3, 1\/417, -4.\nAnswer: -4, -3, -1.5, 1\/417, 1\/3, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/11364100 and -43\/180.\nAnswer: 102276900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 2*v**2 - v + 9. Let r be u(-3). Solve 4*d + 5 = -5*g + 22, r*g - 6 = -d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 847 and 37961?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 61*s**3 - 366. Let b(r) = 1. Calculate -366*b(u) - m(u).\nAnswer: -61*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 21492174.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - n + 7*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 4 - 8\/3*u**3 - 1\/2*u**4 - 4*u - 5*u**2. Factor o(j).\nAnswer: -2*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-12 - (8 + -12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + -16 + (-523 - -550).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) - 49\/(-3). Suppose 5*j + 88 = 108. Solve 0 = 6*a - 3*a + 5*v + u, j*a = 5*v + 37 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827078 to the power of 1\/2, to the nearest integer?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let k(y) = y - 13. Let z be k(11). Let t = v - z. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110)*1 - sqrt(110))*-3)\/(sqrt(10) + sqrt(110)\/(sqrt(11) - sqrt(11)*-1)))**2 + (sqrt(352)*-2)\/(sqrt(8)\/sqrt(4)*-2).\nAnswer: 44\/9 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 1, -3\/46, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -29127.\nAnswer: 2621.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) - 44\/(-10). Let x(c) = -2*c + 3. Let f(j) be the third derivative of j**4\/12 - j**3\/3 - 307*j**2. Give t*f(s) + 3*x(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (sqrt(2450)*1)**2 - (1 + sqrt(2450) + -1))*-1.\nAnswer: -9812 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3249785, -6499184, -9748583, -12997982?\n\"Answer: -3249399*i - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(17) + (sqrt(2057)*1 - sqrt(2057) - sqrt(2057)) + 4 - 5*sqrt(1700)*2))**2*-1*2.\nAnswer: -7920*sqrt(17) + 1234416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**9\/3024 - p**8\/840 + p**7\/840 - 5*p**3\/3 - 5*p. Let r(z) be the second derivative of c(z). Determine i so that r(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, f: 3, j: 3, i: 4, q: 6}. Give prob of sequence ji.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3 - 80*w**2 - 714*w + 1764 = 0.\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*x**3 + 16*a*x**2 + 2*a + 4612799*x**3 + 784*x**2 + 2*x - 7 wrt x.\nAnswer: 12*a + 27676794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {b: 2, l: 7, o: 1, e: 4, f: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 16*x - 1810 = -5*r, -3*r + 21 = 0. Round x to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = 150. Suppose -4*s + 3*n = -231, -5*s + 4*n = 8*n - 281. Let p = l - s. Put -1, -2, 3, p in increasing order.\nAnswer: p, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 782791053*z**3 - 6240520*z - 1.\nAnswer: 4696746318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20) + 5)**2 + ((sqrt(300)*-3)\/sqrt(10))\/sqrt(6).\nAnswer: -43*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5060732km to millimeters.\nAnswer: 506073.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-10 - -14) + 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 17. What is the greatest common factor of 9 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*z = 12, 785 = -56*o + z + 737 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10367, -10475, -10649, -10883, -11171, -11507, -11885?\nAnswer: -12299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110977 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1 - 1083\/171\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2. Let h(q) be the third derivative of 0*q**3 - 2*q**2 - 1\/12*q**4 + 0 + 0*q. Give h(i(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 974188\/69 - 23 - ((-2)\/6 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(39)\/sqrt(3) + 1 + sqrt(26)\/sqrt(32))*1 - (sqrt(3146) + 2*sqrt(3146))\/(6*(sqrt(2) + sqrt(8))))**2.\nAnswer: 7*sqrt(13)\/6 + 781\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-8))\/(5 - 34\/7) - 4. Solve 6*a - f*a + 3 = 3*n, -3*a = -2*n + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + -1.2. Sort l, 2, 1\/4 in descending order.\nAnswer: 2, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**4 + 6 + 29*l - 3*l**4 - 30*l to y*l**3 + k*l**4 + f + m*l + r*l**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, m: 4, v: 2, y: 2}. Give prob of sequence dy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 22*o = -544. Suppose 0 = 2*n - k - 50, -3*n = 3*k - 20 - 46. Solve -4*t - o + 13 = -c, -4*c = -3*t - n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100268.\nAnswer: 2, 23, 37, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*h + 3 - 37 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18604590266 + -82\nAnswer: -18604590348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*t + 26. Suppose -4*z - t = 6*z. Let m(l) = -l**2 - 5*l + 6. Calculate m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**2 - 2*w**2 + 3*w**2)*(w - 3*w - w)*(7 - 2 - 3) to m*w**3 + q + f*w + u*w**2 and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/693 and -17\/12177.\nAnswer: 85239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 66. Let r = 38 - o. Let n = r - 10. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -205 - 1?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/60 - 2*a**4\/3 - 11*a**3\/2 + 28*a**2 + 1. Calculate the remainder when h(-11) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1956, 1954, 1952, 1950, 1948?\n\"Answer: -2*s + 1958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5056 + 4983.66. Let s = w - -74. Let i = 1.6 - s. Round i to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/20 + 19*k**4\/12 + 7*k**3\/3 - 13*k**2 - 8*k. What is the tens digit of h(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**5\/20 - m**4\/2 - 5*m**2 + 29*m. What are the prime factors of u(8)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -16, -7*y - 24 = -11*y + m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**6\/11 - 1148*b**5\/55 - 13044*b**4\/11 + 261088*b**3\/33 - 190512*b**2\/11 + 153664*b\/11 + 651. Determine g so that l(g) = 0.\nAnswer: -98, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014894389 to the power of 1\/2, to the nearest integer?\nAnswer: 63363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - i + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:01 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60173.5 days to minutes.\nAnswer: 86649840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31a - -44?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 3*c**2 + c + 89. Let q be m(0). Let y = -79 + q. What is the least common multiple of y and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 4 - 3 + 2 - 6*n. Let b(m) = 63 - 32 + 127*m + 127*m - 255*m - 32. Let p = 0 + 1. Give p*g(q) - 3*b(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 182*m**3 + 22*m. Let v(l) = l**3 + l. What is -2*t(r) + 44*v(r)?\nAnswer: -320*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -2582025019.\nAnswer: -2582025019.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36025 or -36121?\nAnswer: -36025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924305 and 107874?\nAnswer: 216287370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 541907775 to the power of 1\/3, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60480 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 3*b**2 - 3. Let x(v) = v**2 + v**2 - 8*v - 3*v**2 + 12. Let l be x(-9). Give d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 21*m**2 - m + 6. Suppose 10 + 5 = -3*g. Let t(y) = 20*y**2 - y + 5. Let k(c) = g*t(c) + 4*h(c). What is k(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/72 - 11*u**5\/4 + 1815*u**4\/8 - 14*u**3 + u**2 - 48. Let z(i) be the first derivative of b(i). Let z(m) = 0. What is m?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*y = -2*n - 11, 5*n - 4*y = 36. Suppose -n*f = -6*f - 4. Let w(l) = -l**2 + 3*l - 2. Let q be w(f). Solve 0 = j - q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j + 8 - 8)*(-1 - 2 + 1 + 2 - 1 + 1 + (-2 + 3 - 2)*(-5 - 1 + 4) + 1 + 1 - 5).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717409\/23 <= 74669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -121120100222100?\nAnswer: 121120100222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/3)*x*x*x**6\/x*x*(x**(-1))**(6\/13) assuming x is positive.\nAnswer: x**(320\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 263*p - 7347. Give d(37).\nAnswer: 2384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14382.181 - -1.9?\nAnswer: -14380.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = -w. Find the common denominator of (4 - 1) + w + (-438)\/140 and 11\/6.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 613*q**2. Let h(i) = -2*i**2. Calculate h(n(d)).\nAnswer: -751538*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.58 and -6.8.\nAnswer: -6.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100920370 to the nearest integer?\nAnswer: 10046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -197 (c) -0.1797 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/7 - 243*g**2\/7 + 1158*g\/7 - 1368\/7.\nAnswer: 3*(g - 76)*(g - 3)*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -38, -98, -192, -326?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0*x + 1\/210*x**7 - 1\/120*x**6 + 0 - x**2 - 1\/60*x**5 + 1\/24*x**4 + 0*x**3. Factor z(u).\nAnswer: u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -34*c. Let n(m) = -27*m**2. Determine n(g(u)).\nAnswer: -31212*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -j - 4*j - 324, -8 = 4*j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 13622 = 5*r, 4537 = u + 2*r - 0*r. What are the prime factors of u?\nAnswer: 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b. What is the tens digit of t(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let r(g) = g**3 - 15*g**2 - 19*g + 65. Let c be r(16). Suppose -5*u + 2*k + 8 = 0, -c*u + 13*u + 5*k = -20. Sort t, u, -2, 1.\nAnswer: -2, u, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9)*(-36)\/8. Let h = -7 + 13. Let u = n + h. Sort -4, 0, u in ascending order.\nAnswer: -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -17*k**2 + 40*k + 10. Determine f(6).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 - 16*g**3 + 2*g**3 + g. Let t = 1 - 0. Determine i(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 6*c**2 - 12*c - 34. Suppose 3*k + 2*z = -17, -2*z + 18 = -4*k - 7*z. Is j(k) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 11*k**5\/60 - k**4\/12 + k**3\/6 + 3*k**2. Let m be -1 + 2 - (0 + 0). Let o be r(m). Solve -3*f = -5*f - o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 6:22 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54130667 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 4473?\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 - (0 + -12 + (-57)\/(-6)). Solve 0 = t + 4*x, -5*x + 1 = -a*t + 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 0*f)*(f**2 - 2*f**2 + 2*f**2) + (-2 + 0 + 5)*(-2*f**3 - f**3 + f**3) - 2*f**3 - f**3 + f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -1.1 (c) 2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from zzzzezzzeze?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69, 139, 209?\n\"Answer: 70*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/34 - 65\/102. Suppose 5 = -0*d - 5*d. Which is the second smallest value? (a) d (b) -0.04 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*w + 18 - 139*w + 15*w**2 + 34.\nAnswer: 15*w**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 8*b**3 - 24*b**3 - 8300*b + 8300*b + 11*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.2. Let p = 0.027 + 15.773. Let z = p + -16. Which is the closest to t? (a) z (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212147261?\nAnswer: 8443, 25127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 25, 51, 89, 139?\n\"Answer: 6*b**2 - 4*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*o + 11*o + 17*o + 17*o + 17*o + 8*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -293630.35 rounded to the nearest 1000?\nAnswer: -294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*w - 920 = 826*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/21 and -77\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2520\/(-2380) + 282\/170.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 10. Let z(i) = 10*i + 2. Let h be z(1). Let w be u(h). Determine g so that -18\/13*g**w - 4\/13 + 22\/13*g = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -2. Let k(z) = z**2 + 6*z + 2. Let j be k(-4). Is 9 a factor of j\/(-36) - (-274)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-1 + 2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 624799\/17 - 36753. Let v = 0.6 + 0.4. What is the closest to 0.2 in z, v, 2\/5, -3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 5106*q**2.\nAnswer: 2*q**2*(q + 2553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w - j + 26, 2*j = 3*w - 14. Let s = w - -1. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20992 and 3280.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 735192 and 1449962.\nAnswer: 52198632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.422082939 rounded to 3 dps?\nAnswer: -0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 7}. Give prob of picking 1 i and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284995?\nAnswer: 5, 56999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 11:45 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -7*k**2 + 3. Let s be q(-1). Suppose 5*b - s = 6. Solve b*r = -r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85488 by 21372.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1072*g + 12202. Determine i(9).\nAnswer: 2554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + 5 + 4*a**3 + 3*a**2 + 2*a**3 - 3 to q + g*a**2 + y*a + i*a**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 2*g**3 - 3*g**2 + 0*g**2 + (4*g - g + 7*g)*(g - 6*g**2 - g) in the form q*g + c + h*g**3 + k*g**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.203 - -0.103. Let p = -1\/10 + -2\/5. What is the closest to -1 in 2, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -285\/77173 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, -10843, -1, 0.\nAnswer: -10843, -1, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 9\/2 - 9\/2*y**2 + 3\/2*y - 3\/2*y**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -40*t + 50. Let q(u) = 14*u - 17. Let b(s) = -4*f(s) - 11*q(s). Let w(p) = -3*p + 6. Let i(l) = -3*b(l) - 5*w(l). What is i(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.8 - 29.7793. Round y to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - o - 61 - 3*o + 104 + 169.\nAnswer: o + 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*j**2*q**3 + 2*b**2*j*q + 32*b*j**2*q**3 - 4*b*j**2 - 13*q**2 wrt q?\nAnswer: 12*b**2*j**2 + 192*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}